Dissertations / Theses: 'Mathematics Study and teaching (Secondary) Victoria Case studies'

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Mulcahy, Diana Leonie. "A case study investigation of the use of a textbook in a secondary mathematics classroom : issues of regulation and control." Master's thesis, University of Cape Town, 1995. http://hdl.handle.net/11427/17500.

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Bibliography: pages 82-84.
This dissertation is concerned with aspects of the role of the textbook in school mathematics. An attempt is made to uncover control strategies used by the teacher in textbook use in the classroom, and those implicit in a mathematics textbook. It is argued that these forms of regulation place constraints on the transformative role sometimes attributed to textbooks. The following research question is addressed: how does the teacher recruit the textbook in the classroom, how is he/she 'recruited' by it and how are both recruited by school mathematics? A case study methodology is described, involving a video-recording of a fifty minute mathematics lesson and a follow-up interview with the teacher. Transcriptions are used and a fine-grained analysis of data is attempted. A literature survey examines other research in the areas of content selection, content control and content expression. Content selection refers to choices and omissions, content control refers to sequencing, pacing and authority in the pedagogic relationship, and content expression includes verbal and textual modes of expressing content. Theoretical ideas are drawn from Bernstein (1976, 1991, 1993) and Dowling (1993). Although these works are methodologically different, they both describe aspects of regulation and control. Of particular interest are Bernstein's notions of classification and framing, and Dowling's ideas on discourse and procedure. The hypothesis is put forward here that there is a dialectical relationship involving the positioning of teacher and textbook. The teacher recruits the textbook to regulate pupils and knowledge, but s/he is at the same time constrained by strategies implicit in the textbook. In other words the teacher both positions and is positioned by the textbook. Both in tum are positioned by school mathematics. The data analysis examines the 'how', 'what' and 'who' of control. It considers the regulation of speech, silence, working and listening, as well as the sequencing, pacing, selecting, presenting and authorising of content. It argues that the teacher both recruits and is 'recruited' by the textbook, and that although the framing is strong and the teacher has a high degree of control in the pedagogic relationship, the classification is also strong and the teacher lacks control over what she can teach and the relationship between contents. The research concludes by suggesting that the transformative role sometimes attributed to the textbook is problematic. The strategies of regulation and control operating in the classroom, implicit in the textbook and in school mathematics, limit the possibilities of how textbooks can be used by the teacher and constrain transformation to a significant degree.

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Atebe, Humphrey Uyouyo. "Student's van Hiele levels of geometric thought and conception in plane geometry: a collective case study of Nigeria and South Africa." Thesis, Rhodes University, 2009. http://hdl.handle.net/10962/d1003662.

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This study is inspired by and utilises the van Hiele theory of geometric thought levels, currently acclaimed as one of the best frameworks for studying teaching and learning processes in geometry. The study aims both to explore and explicate the van Hiele levels of geometric thinking of a selected group of grade 10, 11 and 12 learners in Nigerian and South African schools. The study further aims to provide a rich and indepth description of the geometry instructional practices that possibly contributed to the levels of geometric conceptualisation exhibited by this cohort of high school learners. This collective case study, presented in two volumes, is oriented within an interpretive research paradigm and characterised by both qualitative and quantitative methods. The sample for the study comprised a total of 144 mathematics learners and 6 mathematics teachers from Nigeria and South Africa. They were selected using both purposive and stratified sampling techniques. In using the van Hiele model to interrogate both learners’ levels of geometric conceptualisation and teaching methods in geometry classrooms, the study employs a qualitative and qunatitative approach to the data-collection process, involving the use of questionnaires (in the form of various pen-and-paper tests, hands-on activity-based tests), interviews and classroom videos. Although the data analysis was done largely through descriptive statistics, the whole process inevitably incorporated elements of inferential statistics (e.g. ANOVA and Tukey HSD post-hoc test) in the quest for indepth analysis and deeper interpretation of the data. Learners were assigned to various van Hiele levels, mainly according to Usiskin’s (1982) forced van Hiele level determination scheme. The whole process of analysing the classroom videos involved a consultative panel of 4 observers and 3 critical readers, using the checklist of van Hiele phase descriptors to guide the analysis process. Concerning learners’ levels of geometric conceptualisation, the results from this study reveal that the most of the learners were not yet ready for the formal deductive study of school geometry, as only 2% and 3% of them were respectively at van Hiele levels 3 and 4, while 47%, 22% and 24% were at levels 0, 1 and 2, respectively. More learners from the Nigerian subsample (53%) were at van Hiele level 0 than learners from the South African subsample (41%) at this level. No learner from the Nigerian subsample was at van Hiele level 4, while 6% of the South African learners were at level 4. In general, learners from the Nigerian subsample had a poorer knowledge of school geometry than their peers from the South African subsample, as learners from the latter subsample obtained significantly higher mean scores in the van Hiele Geometry Test (VHGT) and each of the other tests used in this study. Results relating to gender differences in performance generally favour the male learners in this study. For each of the participating schools, learners’ van Hiele levels (as determined by their scores on the VHGT) strongly correlate with their performance in geometry content tests and mathematics generally. For each of the Nigerian and South African subsamples, for n ≤ 2, learners at van Hiele level n obtained higher means on nearly all the tests administered in this study than their peers at level n–1. This finding provides support for the hierarchical property of the van Hiele levels.

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袁東璇 and Tung-shuen Yuen. "Using ICT in learning and teaching mathematics." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2002. http://hub.hku.hk/bib/B31256570.

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Choi, Chi-shing Jimmy, and 蔡志誠. "The integration of civic education and mathematics education: a case study in a Hong Kong secondaryschool." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1999. http://hub.hku.hk/bib/B31960790.

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Junius, Daniel Franscius, and Danie Junius. "How do teachers characterise their teaching for conceptual understanding and procedural fluency?: a case study of two teachers." Thesis, Rhodes University, 2013. http://hdl.handle.net/10962/d1001426.

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Over many years the practice or art of teaching Mathematics posed itself as, not only being different from the practice of teaching any other subject, but to have many challenges and opportunities that ask for exploration and understanding. Just after independence in 1990, Namibia has embarked upon a reform process for the entire education system. Many changes were brought about to create a uniform, equal system for all. However, many challenges still remain to be addressed. Mathematics education remains one of the key areas where Namibian teachers can contribute towards the improvement of the subject. Unsatisfactory results, under-qualified teachers, and a negative disposition towards Mathematics are some of the challenges. These challenges are not unique to Namibia. Across the globe psychologists, philosophers and educators continue to engage in debates and research projects in search of answers and solutions for the improvement of Mathematics education. Despite encountering numerous obstacles, many teachers are dedicated and achieve outstanding results with their learners. This thesis reports on a research project that focused on the Mathematics teaching practice of two teachers whose experiences can make a positive contribution to the improvement of Mathematics teaching in Namibia. Furthermore, this case study investigated and attempted to understand the Mathematics teaching practices of two proficient teachers who each claimed to have a specific and unique approach to teaching Mathematics. The one claimed to be mainly procedural in her Mathematics teaching, while the other one claimed to teach mainly in a conceptual manner. Both achieve very good results with their classes and attribute their own teaching orientations to a process of several experiences they went through as students and in their careers. The study revealed that both claims are substantiated and that each teacher was consistent in her claimed approach. Many challenges and constraints were encountered by both teachers, but in their unique and specific ways each teacher’s chosen teaching approach supported them to overcome these. It was evident from the findings that each teacher’s practice came about as an evolutionary process over an extended period of time. As many challenges and limitations are universal, it is believed that in sharing experiences, teachers can benefit from each other by improving their practice. It was clearly stated by both participants that the re-thinking of and reflecting on their own practices provided them with new insights and motivation. Peer support and sharing of practices contribute positively towards the improvement of the teachers’ classroom practices.

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Lam, Mau-kwan, and 林謀坤. "Secondary three students' strategies in solving algebraic equations." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1998. http://hub.hku.hk/bib/B3196025X.

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Ausiku, Charity M. "An investigation into the persistence of traditional teaching methods in grade 9 mathematics classrooms in Rundu : a case study." Thesis, Rhodes University, 2009. http://hdl.handle.net/10962/d1004461.

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I embarked upon this study to investigate mathematics teachers' practices that have led to the persistence of traditional teaching methods in grade 9 mathematics classrooms in Rundu. The study was conducted from a learner-centred (L-C) perspective or reform approach in the Namibian context. It is a qualitative study oriented in the interpretive paradigm- a paradigm that seeks to understand the meanings attached to human actions. The participants involved in this study were purposively selected and they are composed of two mathematics teachers and their grade 9 learners. This study was conducted at two schools in Rundu. One is an urban school while the other one is a rural school on the outskirts of Rundu. The research tools employed in this study are questionnaires, interviews and observations. The questionnaires were used to identify and select my participants while the observations were used to investigate the participants teaching strategies. The purpose of the interviews was mainly to investigate teachers' understanding, interpretation and implementation of learner-centre education (LCE). Amongst other findings, this study reveals that inadequate teacher-training, controversial educational policies and challenges such as overcrowdedness in mathematics classrooms, lack of teaching and learning materials, lack of cooperation among mathematics teachers and learners' negative attitude towards mathematics are some of the contributing factors to the persistence of traditional teaching methods in mathematics classrooms. Moreover, the study reveals that the persistence of traditional teaching methods in mathematics classes can no longer be attributed to the lack of understanding of LCE. The teachers in this study seem to be well acquainted with the theoretical aspect of the LCE framework while the implementation aspect seems to be a concern.

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Tang, Cham-wing, and 鄧湛榮. "The attitudes of secondary school mathematics teachers towards the teaching of mathematics by using computers." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1996. http://hub.hku.hk/bib/B31958886.

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Raghavan, Prasannakumary. "Social constructivist mathematics education in a Ciskeian secondary school classroom." Thesis, Rhodes University, 1994. http://hdl.handle.net/10962/d1003652.

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The researcher's experience as a high school mathematics teacher in several African countries convinced her that a good number of mathematics learners exhibit serious difficulties in conceptualising mathematics properly. Her experience in teaching the subject in the Ciskei since 1990 reinforced this conviction. The researcher's natural curiosity to probe into the causes of the poor state of mathematics education in the region served as the springboard into her investigation. Her thoughts developed in line with the emerging educational theories of social constructivism. This provided a conceptual framework for the solution of the problem, the feasibility of which was put to test practically in a Ciskeian classroom. She explicates that the difficulties experienced by the pupils in conceptualising mathematics are philosophically deep rooted and latent in the present system of mathematics education itself, which, in Ciskei, impedes the learners' conceptualisation owing to numerous problems related to their linguistic and cultural situatedness. In the analysis of the present system of mathematics education in the Ciskei she reviews a few recently published mathematics text books in the context of the topics chosen for her research study. The results of her classroom investigation establish that a possible solution to the problem lies in the social constructivist teaching approaches.

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Leung, Kung-shing, and 梁拱城. "The impact of teaching of analytical skills on the mathematics achievement of Form three students." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1986. http://hub.hku.hk/bib/B31955575.

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Ho, Mei-fun, and 何美芬. "Communication in the mathematics classroom." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1996. http://hub.hku.hk/bib/B31958667.

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Young, Po-yuk, and 楊寶玉. "Profile of good computational estimators related mathematical variables and common strategies used." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1994. http://hub.hku.hk/bib/B31957626.

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Kan, Wing-yuen, and 簡永源. "Small group learning in mathematics." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1998. http://hub.hku.hk/bib/B31960200.

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Ngola-Kazumba, Maria. "An investigation on how learners may use multiple representations in a social interaction to promote learning of percentages and fractions: a case study." Thesis, Rhodes University, 2013. http://hdl.handle.net/10962/d1006057.

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The study examined the use of multiple representations such as the real world, written symbols, spoken symbols, diagrams and manipulatives by learners to promote the learning of percentages and fractions through social interaction. This investigation was carried out through a teaching and learning programme which was developed and implemented by me, the researcher. The effect of the implemented programme was the main focus of the research. The qualitative study was oriented in the interpretive paradigm – a paradigm that seeks to understand the meaning attached to human actions. Twenty learners participated in the implementation of the programme and 9 learners were selected for focus group interviews. The purpose of the interviews was to explore learners' understanding and feelings about the use of multiple representations in the learning of percentages and fractions through social interactions. The other tools employed in this study were pre-and-post diagnostic tests, observations, learners' work and a journal. The pre-test was used to determine learners' prior knowledge for the program design and implementation, while the post-test and learners' work were used to analyze the effect of the programme. Observations were used to investigate how multiple representations promoted or did not promote the learning of percentages and fractions. The teacher's journal was to record and reflect on any relevant information gathered on each lesson observed. The data shows that the effective use of multiple representations helped learners learn the concept of percentages and fractions better. Learners were able to look at representations in useful ways; multiple representations made some aspects of the concept clear; and multiple representations enabled learners to correct errors. Through the interaction between the teacher and learners, the following was found: all the learners changed words to change focus; learners made links between multiple representations; the learners deepened their concepts of percentages and fractions; learners could convert between fractions using multiple representations; learners could work out percentages of a quantity; and learners could express one quantity as a percentage of another. Furthermore, through the interaction between learners and learners all learners could identify more equivalent fractions of an initial fraction which was given to them; and they could increase and decrease a quantity by a given percentage. On the basis of this research, it can be concluded that the programme promoted the learning of percentages and fractions through three effective methodologies. The first methodology consisted of the effective use of multiple representations; the second methodology concerned the interaction between the teacher and learner during the learning process and the last methodology related to the interaction between the learners - interactions that were not strongly mediated by the teacher. I would recommend that teachers use these three effective approaches when teaching percentages and fractions to promote the learning of the concepts.

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Kerrison, Terence Michael. "A study of the effect of criterion-referencing on teaching, learning and assessment in secondary schools." Thesis, Hong Kong : University of Hong Kong, 1996. http://sunzi.lib.hku.hk/hkuto/record.jsp?B18047300.

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Cheng, Sze-man, and 鄭仕文. "Catering for differences in mathematical ability: the cases in Shanghai and Hong Kong." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2001. http://hub.hku.hk/bib/B31962464.

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Malunguza, Julius. "An investigation of the challenges facing grade 10 science learners in sense-making of mechanics problems : a case study." Thesis, Rhodes University, 2009. http://hdl.handle.net/10962/d1003529.

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The research study was conducted at Ixopo High School, an English medium, former model-C, co-educational school in Kwazulu-Natal. The research is located within an interpretive paradigm and is informed by the constructivism theoretical framework. The learners and educators who participated in this research study did so voluntarily. The principal objective of this case study was to investigate the challenges faced by 30 Grade 10 Science learners in understanding the problems posed in the mechanics section of the Physics syllabus. This investigation was carried out using two learning strategies: problem solving and practical work. Various authors have noted some sections in the Physics syllabus are often misunderstood by the learners, for different reasons. From the literature and from the author’s personal experience it was found that mechanics is a topic that the learners of different races and age groups find difficult to conceptualise. In general, learners have misconceptions and make errors in Physical Sciences. Often educators view children’s errors and misconceptions in terms of low intelligence, low mathematical aptitude, perceptual difficulties or learning disabilities instead of attempting to discover the real causes of the errors. Educators need to find out why the learners make these mistakes, in order to help them. In most cases Mathematics forms a basic common element in scientific study. Hence, science learners need to be able to deal with numbers, operations, symbols and mathematical formulae. The term “science” embraces a very wide area of subject matter. Different learners will have widely differing interests within the many subdivisions of this field. This presents a problem when preparing learners for the scientific language they will need to study different branches of science. This implies that failure to understand the meaning of words or symbols inevitably impairs communication. The data analysed was collected using a variety of data collection tools. The main data generation tools were science tasks, structured interviews and group interviews and questionnaires. The analysis revealed that learners were lacking in mathematical skills and science register (terminology). Both first and second language English speakers encountered problems in science register but the study found that the problem was more pronounced in the latter. The findings of this study also highlighted that learners understand how to think mathematically when they are resourceful, flexible, and efficient in their dealing with new mathematical problems in mechanics. However, mathematical problem solving performance is built on the foundation of basic mathematical knowledge. The study suggested that even when the challenges of a general understanding of English as the medium of instruction and scientific language (register) are overcome, learners are still challenged by mathematical problem solving strategies; reading and writing of science; making meanings of symbols and signs; graphs and scientific mathematical equations in sense making of mechanics problems.

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吳森森 and Sum-sum Sam Ng. "Factors affecting mathematics teachers in the use of computers in the classroom: a case study." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2001. http://hub.hku.hk/bib/B31256429.

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Leung, Pui-seung, and 梁佩嫦. "Factors affecting Hong Kong students' self-perception on their mathematics performance." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1998. http://hub.hku.hk/bib/B31960339.

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Smith, Leslie TenEyck. "Project NANO: Will Allowing High School Students To Use Research Grade Scanning Electron Microscopes Increase Their Interest in Science?" PDXScholar, 2014. https://pdxscholar.library.pdx.edu/open_access_etds/1549.

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In this study, one AP Biology curriculum unit and one general Biology curriculum unit that included tabletop Scanning Electron Microscope (SEM) technology provided by Project NANO, a grant-funded, collaborative initiative designed to integrate cutting-edge nanotechnology into high school classrooms were implemented at a public high school in rural Oregon. Nine students participated in the AP unit and 52 students participated in the general Biology unit. Each student completed an opinion-based pre and post survey to determine if using the SEM as a part of the curriculum unit had an impact on his or her interest in science or in nanoscience. Interviews were conducted to add to the data. The results indicate that using the SEM can increase a student's interest in science. Recommendations for improving student experience were identified.

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Ntsohi, Mamosa M. E. "Investigating teaching and learning of Grade 9 Algebra through excel spreadsheets : a mixed-methods case study for Lesotho." Thesis, Stellenbosch : Stellenbosch University, 2013. http://hdl.handle.net/10019.1/85657.

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Thesis (PhD)-- Stellenbosch University, 2013.
ENGLISH ABSTRACT: The teaching and learning of algebra in the middle school grades in Lesotho is dominated by the mechanistic approach where learners are drilled on procedures for solving certain types of problems in algebra, without making any connection to the experience learners had with arithmetic. This is one of the sources of learners’ difficulties in mathematics. Research indicates that use of spreadsheets such as Excel has a potential of bridging the gap between arithmetic and algebra and thus enhancing the teaching and learning of algebra, making it meaningful to the learners. The study sought to answer the question: How do Grade 9 learners in Lesotho experience teaching and learning of algebra through Excel spreadsheets? The research commenced with a literature review that was followed by the empirical study. The theories of instrumental genesis and instrumental orchestration were identified as the framework for the investigation. Instrumental genesis is the process in which learners develop facility with the artifact as they use it towards achieving lesson objectives; technical (conceptual, mechanical) and personal (attitudes, behavior and preferred learning styles) aspects of learners’ experiences were identified. Instrumental orchestration is the steering of learners’ instrumental genesis by the teacher and the manner in which this process is carried out, depends on the teacher’s Technological Pedagogical Content Knowledge (TPCK). The research was a multi-case study following a mixed-methods approach, where both qualitative and quantitative methods were used. The empirical study was conducted in two schools in Lesotho. In each school, fifteen learners volunteered participation. The investigation was done through classroom teaching by me as the researcher. The focus was on what challenges learners encountered and how they benefited from their “spreadsheets algebra” learning experience. Data were collected through classroom observations where field notes were recorded and an observation schedule was used by the researcher and the Assistant Observer respectively. A questionnaire was also administered to all learner participants after the whole teaching period. Six learners, representative of high, medium and low performances in class, were also interviewed with a goal of finding out their experiences. The Assistant Observer was also interviewed to reduce the bias that may result from to the researcher studying her own practice The study found that learners experiences with learning algebra through spreadsheets, comprised of both challenges and benefits. The challenges encountered by learners could be classified into those that were school-based and those that were instruction-based. The school-based challenges related to inadequate physical structures and lack of well-functioning equipment in the computer laboratories. Instruction-based challenges encountered by learners were both technical and personal. Technical challenges related to the physical manipulation of the artifact and the lack of understanding of concepts involved, where the spreadsheets meet the algebra. Personal challenges related to learners’ attitude and behavior towards use of spreadsheets for algebra teaching and learning. While school authorities could address some of the challenges, it was found that both the teacher and learners could initiate strategies that could be used to overcome the instruction-based challenges. Teaching strategies such as “technical-demo”, “explain-the-screen”, “discuss-the–screen”, “link-screen-board” and “spot-and-show” (building on learners’ responses), and the general organization of classroom environment were helpful in orchestrating algebra learning within the spreadsheets. It was also found that use of spreadsheets had both cognitive and affective values for the learners. Even though use of spreadsheets may benefit both teachers and learners in algebra teaching and learning, implementation of the practice would require critical considerations in terms of teacher preparation and infra-structural improvements in the schools.
AFRIKAANSE OPSOMMING: Die onderrig en leer van algebra in die middelbare skoolgrade in Lesotho word oorheers deur die meganiese benadering waarvolgens leerders gedril word in prosedures om oplossings vir sekere tipe algebraprobleme te vind en die ervaring wat leerders in rekenkunde opgedoen het, nie daarmee in verband gebring word nie. Dit is een van die oorsake waarom leerders met wiskunde sukkel. Navorsing toon dat die gebruik van sigblaaie soos Excel moontlik die gaping tussen rekenkunde en algebra kan oorbrug, en dat die onderrig en leer van algebra daardeur kan verbeter, wat dit sinvol vir leerders sal maak. Die studie was daarop gemik om ’n antwoord op die volgende vraag te vind: Hoe ervaar graad 9-leerders in Lesotho die onderrig en leer van algebra deur middel van Excel-sigblaaie? Die navorsing het met ’n literatuuroorsig begin en is deur ’n empiriese studie opgevolg. Die teorieë instrumentele genese en instrumentele orkestrasie is uitgewys as die raamwerk vir die ondersoek. Instrumentele genese is die proses waarvolgens leerders bedrewenheid in die produk ontwikkel namate hulle dit gebruik om lesdoelstellings te bereik; tegniese (konseptuele, meganiese) en persoonlike (ingesteldheid, gedrag en voorkeurleerstyle) aspekte van leerders se ervarings is geïdentifiseer. Instrumentele orkestrasie is die stuur van leerders se instrumentele genese deur die onderwyser; en die wyse waarop hierdie proses uitgevoer word, hang van die onderwyser se Tegnologiese Pedagogiese Inhoudskennis (TPCK) af. Die navorsing het ’n meervoudige gevallestudie gebruik en ’n gemengde metodebenadering is gevolg, terwyl beide kwalitatiewe en kwantitatiewe metodes gebruik is. Die empiriese studie is in twee skole in Lesotho uitgevoer. Vyftien leerlinge uit elke skool het vrywillig deelgeneem. Die ondersoek is by wyse van klaskameronderrig deur my as die navorser gedoen. Daar is gefokus op die uitdagings wat leerders teëgekom het en hoe hulle by die “sigbladalgebra”-leerervaring gebaat het. Data is aan die hand van klaskamerwaarnemings versamel, waar veldnotas afgeneem is en ’n waarnemingskedule onderskeidelik deur die navorser en die assistentwaarnemer gebruik is. ’n Vraelys is na die volle onderrigtydperk by al die leerderdeelnemers afgeneem. Onderhoude is gevoer met ses leerders, wat hoë, medium en lae prestasies in die klaskamer verteenwoordig, met die doel om hulle ervarings te bekom. ’n Onderhoud is ook met die Assistentwaarnemer gevoer om vooroordeel, deurdat die navorser moontlik haar eie praktyk kon bestudeer, te verminder. Die studie het bevind dat leerders se ervarings met die leer van algebra deur middel van sigblaaie uitdagings sowel as voordele inhou. Die uitdagings wat leerders teëgekom het, kan onderskeidelik as skoolgebaseerde uitdagings en onderrig-gebaseerde uitdagings geklassifiseer word. Die skoolgebaseerde uitdagings hou verband met onvoldoende fisiese strukture en ’n gebrek aan behoorlik funksionerende toerusting in die rekenaarlaboratoriums. Die onderrig-gebaseerde uitdagings vir leerders is beide tegnies en persoonlik. Tegniese uitdagings hou verband met die fisiese manipulering van die produk en ’n gebrek aan begrip ten opsigte van die betrokke konsepte, naamlik waar die verband tussen die sigblaaie en algebra bestaan. Persoonlike uitdagings hou verband met leerders se ingesteldheid en gedrag rakende die gebruik van sigblaaie by die onderrig en leer van algebra. Alhoewel die skoolowerhede bepaalde uitdagings kan aanspreek, is daar bevind dat onderwysers sowel as leerders strategieë kan aanvoor om onderrig-gebaseerde uitdagings te oorkom. Onderrigstrategieë soos “tegniese demo”, “verduidelik die skerm”, “bespreek die skerm”, “koppel-skerm-bord” en “vind-en-wys” (wat op leerders se reaksie voortbou), asook die algemene organisasie van die klaskameromgewing, dra tot die orkestrasie van algebraonderrig met die sigblaaie by. Daar is ook bevind dat die gebruik van sigblaaie kognitiewe sowel as affektiewe waarde vir die leerders inhou. Selfs al sou onderwysers en leerders voordeel uit die gebruik van sigblaaie in die onderrig en leer van algebra kon trek, sou die implementering van die praktyk kritiese oorwegings moet geniet ten opsigte van onderwyservoorbereiding en infrastruktuurverbetering by die skole.

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Nagisetty, Vytas. "Using Music-Related Concepts to Teach High School Math." PDXScholar, 2014. https://pdxscholar.library.pdx.edu/open_access_etds/1958.

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The purpose of this research was to test a strategy which uses music-related concepts to teach math. A quasi-experimental study of two high school remedial geometry sections was conducted during a review lesson of ratio, proportion, and cross multiplication. A pretest was given to both groups. Then, Group A received normal textbook instruction while Group B received the treatment, Get the Math in Music, which is an online activity involving proportional reasoning in a music-related context. Afterwards, a posttest was given to both groups. Pretest and posttest scores were used to compare gains in subject knowledge between the groups. Then a second evaluation of the treatment was conducted. Group A received the treatment and took a post-posttest. Score gains for Group A before and after receiving the treatment were compared. After these tests, all participants took a survey to determine if their appreciation of math grew as a result of the treatment. Finally, interviews were conducted to provide better understanding of the results. The research questions of this study were: to what extent does the integration of Get the Math in Music improve students' academic performance in a remedial geometry review of ratio, proportion, and cross multiplication, and to what extent does participation in the Get the Math activity improve students' attitudes towards math? My hypotheses were that students would perform significantly better on a subject knowledge test after receiving the treatment, and that all students would have a more positive attitude towards math after receiving the treatment. Quantitative results did not triangulate to support or refute these hypotheses. Greater improvement from pretest to posttest was statistically correlated with Group B, which was the group first receiving the treatment. But later, between posttest and post-posttest Group A did not show statistically significant greater gains after receiving the treatment. Surveys results showed that students did not necessarily like math any more after the treatment. Interviews revealed that several of these students were apathetic to geometry in particular, if not to math in general. The case of one student's improvement suggested that positive teacher-student relationships are more effective than any particular method to increase academic performance and student engagement. Survey results were consistent with earlier psychological studies claiming teenagers care about music. Additional studies in the future on the merits of using music to teach high school math would be useful. Claims that proportional reasoning is challenging were supported. It would be beneficial to evaluate the treatment in an Algebra or Pre-Algebra setting when students first study proportions.

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Benak, David Rhys. "An analysis of mathematics instructional leadership behaviors among Indiana secondary school principals supportive of the implementation of the NCTM Standards." Virtual Press, 2002. http://liblink.bsu.edu/uhtbin/catkey/1233195.

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The purpose of this study was to investigate the degree to which Indiana secondary school principals engaged in mathematics instructional leadership behaviors that supported the implementation of the NCTM Standards.A self-reporting survey was sent to 300 randomly chosen secondary school principals, from a population of 672 public school secondary principals in the State of Indiana during the 2000-2001 school year. A total of 151 usable surveys were returned for a response rate of 50.3 percent. The 151 secondary school principals who returned the questionnaires were 22.5 percent of the population.The survey instrument was an adaptation of questionnaires developed by Horizon Research Incorporated, 1992; Cauley, Van de Walle, and Hoyt, 1993; and Horizon Research Incorporated; 1994. The survey instrument was designed to ascertain demographic information on the principal's school, personal background information on the principal, as well as information concerning the mathematics instructional leadership behaviors of the principal.The major findings from this study were:1. Principals who had more positive attitudes towards the NCTM Standards were more likely to have engaged in a higher degree of support for teachers who implemented the NCTM Standards. Also, principals who had more positive attitudes towards the NCTM Standards were more likely to provide a greater degree of direction to staff members with respect to the implementation of the NCTM Standards.2. Female principals engaged in mathematics instructional leadership behaviors to a greater degree than did male principals.3. Principals from urban schools engaged in mathematics instructional leadership behaviors to a greater degree than did principals from rural schools.
Department of Educational Leadership

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Ho, Chiu-chi, and 何釗志. "The use of computer software in geometry learning." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1998. http://hub.hku.hk/bib/B3196011X.

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Yung, Wing-yee Angela, and 翁詠儀. "Thoughts and practice of a Hong Kong teacher in mathematics alternative assessment via concerns-based adoption model." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2011. http://hub.hku.hk/bib/B45884067.

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Coskun, Sirin. "A multiple case study investigating the effects of technology on students' visual and nonvisual thinking preferences comparing paper-pencil and dynamic software based strategies of algebra word problems." Doctoral diss., University of Central Florida, 2011. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/4874.

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In this multiple-case study, I developed cases describing three students' (Mary, Ryan and David) solution methods for algebra word problems and investigated the effect of technology on their solution methods by making inferences about their preferences for visual or nonvisual solutions. Furthermore, I examined the students' solution methods when presented with virtual physical representations of the situations described in the problems and attempted to explain the effect of those representations on students' thinking preferences. In this study, the use of technology referred to the use of the dynamic software program Geogebra. Suwarsono's (1982) Mathematical Processing Instrument (MPI) was administered to determine their preferences for visual and nonvisual thinking. During the interviews, students were presented with paper-and-pencil-based tasks (PBTs), Geogebra-based tasks (GBTs) and Geogebra-based tasks with virtual physical representations (GBT-VPRs). Each category included 10 algebra word problems, with similar problems across categories. (i.e., PBT 9, GBT 9 and GBT-VPR 9 were similar). By investigating students' methods of solution and their use of representations in solving those tasks, I compared and contrasted their preferences for visual and nonvisual methods when solving problems with and without technology. The comparison between their solutions of PBTs and GBTs revealed how dynamic software influenced their method of solution. Regardless of students' preferences for visual and nonvisual solutions, with the use of dynamic software students employed more visual methods when presented with GBTs. When visual methods were as accessible and easy to use as nonvisual methods, students preferred to use them, thus demonstrating that they possessed a more complete knowledge of problem-solving with dynamic software than their work on the PBTs.; Nowadays, we can construct virtual physical representations of the problems in technology environments that will help students explore the relationships and look for patterns that can be used to solve the problem. Unlike GBTs, GBT-VPRs did not influence students' preferences for visual or nonvisual methods. Students continued to rely on methods that they preferred since their preferences for visual or nonvisual solutions regarding GBT-PRs were similar to their solution preferences for the problems on MPI that was administered to them to determine their preferences for visual or nonvisual methods. Mary, whose MPI score suggested that she preferred to solve mathematics problems using nonvisual methods, solved GBT-VPRs with nonvisual methods. Ryan, whose MPI score suggested that he preferred to solve mathematics problems using visual methods, solved GBT-VPRs with visual methods. David, whose MPI score suggested that he preferred to solve mathematics problems using both visual and nonvisual methods, solved GBT-VPRs with both visual and nonvisual methods.
ID: 030422900; System requirements: World Wide Web browser and PDF reader.; Mode of access: World Wide Web.; Thesis (Ph.D.)--University of Central Florida, 2011.; Includes bibliographical references (p. 293-303).
Ph.D.
Doctorate
Education

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Bridges, Jon P. "Preparing Historically Underserved Students for STEM Careers| The Role of an Inquiry-based High School Science Sequence Beginning with Physics." Thesis, Portland State University, 2017. http://pqdtopen.proquest.com/#viewpdf?dispub=10272772.

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Improving the STEM readiness of students from historically underserved groups is a moral and economic imperative requiring greater attention and effort than has been shown to date. The current literature suggests a high school science sequence beginning with physics and centered on developing conceptual understanding, using inquiry labs and modeling to allow students to explore new ideas, and addressing and correcting student misconceptions can increase student interest in and preparation for STEM careers.

The purpose of this study was to determine if the science college readiness of historically underserved students can be improved by implementing an inquiry-based high school science sequence comprised of coursework in physics, chemistry, and biology for every student. The study used a retrospective cohort observational design to address the primary research question: are there differences between historically underserved students completing a Physics First science sequence and their peers completing a traditional science sequence in 1) science college-readiness test scores, 2) rates of science college-and career-readiness, and 3) interest in STEM? Small positive effects were found for all three outcomes for historically underserved students in the Physics First sequence.

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Casey, Cheryl. "Computer-Based Instruction as a Form of Differentiated Instruction in a Traditional, Teacher-led, Low-Income, High School Biology Classroom." PDXScholar, 2018. https://pdxscholar.library.pdx.edu/open_access_etds/4437.

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In 2015 the U.S. continues to struggle with academic achievement in public schools. Average test scores from 15 year olds taking the Program for International Student Assessment placed the U.S. as 38th out of 71 countries (Drew Devlin, 2017). It is common to discuss elimination of the achievement gap as the single most effective way to improve the U.S.'s mediocre standing among the highest scoring countries in the world in primary and secondary student test scores (McGhee,2004; Flemming 2012). In the broadest sense of the term the "achievement gap" refers to the difference in academic success between different groups of students. It is often used to describe the lower performance of underprivileged student populations (National Education Association, 2004). Attempts to understand why this GAP exists and how educators may narrow such GAPs, researchers have identified both large class size and lack of personalized instruction as two conditions that commonly accompany lower academic achieving student populations (Lee and Buxton, 2008). Although there is a wealth of literature attempting to assess the effect of class size, few studies have defined small and large class sizes. In her research, Sarah Leahy (2006) defines a small class as one containing between 13 and 17 students and a regular class as one containing between 22 and 25. For the purposes of this research, a large classroom is defined as one with over 25 students. In theory, computer-based instruction (CBI) offers great potential to expand on the concept of personalized instruction. However, there is very little research available that describes how this tool can be used to effectively enhance the classroom learning process. This study examines the impact of providing computer-based instruction (CBI) or teacher-led instruction on students of various achievement levels enrolled in a traditional, high school biology classroom. The high school in which this research as conducted is a Title One (low income) identified school. 111 from four sections of freshman high school biology, were randomly divided into two learning groups per section. Both groups in each section were taught one 50-minute lesson on cellular biology. One group received the lesson from CBI while the other group from teacher-led instruction. The impact on learning was measured by the change in pre- and post-test scores. All students in each section received the same lesson content which was provided in the same classroom concurrently. Data from 82 students that returned signed parental consent forms and took the pre-test on day one, the lesson on day two, and the post-test on day three, were analyzed in this study. Results: The twenty students ranked as high academic achievers scored the highest correct answers on pre- and post-tests (mean 7.1 and 9.4 respectively). Improvement in test scores, measured as mean number of additional correct answers on the post-test, for the high achievers was equal whether they received CBI or teacher-led instruction (+1.72 and +1.75 respectively). Twenty-seven middle ranked academic achieving students also showed a statistically equal degree of improvement from each instructional platform. However, middle students that scored the highest pre-test scores also produced the highest improvement from CBI. The thirty-five low academic achieving students produced the highest improvement in test scores overall from teacher-led instruction and produced a mean negative change in post-test scores from CBI (mean +2.13 and -.68 respectively). Findings from this study suggest that in a classroom setting, higher academic achieving students will learn equally well from CBI or from a teacher while lower achievers benefit more from small group, teacher-led instruction.

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Lau, Kwok-yin Arthur, and 劉國賢. "Fostering mathematical understanding through collaborativeexplanation." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2000. http://hub.hku.hk/bib/B31961769.

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Pillay, Krubagaran Subramoney. "Readiness of learners to study space, shape and measurement in mathematical literacy : case studies at two Durban schools." Thesis, 2006. http://hdl.handle.net/10413/1309.

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This dissertation reports case studies conducted at two secondary schools in Durban. With the introduction of the Further Education and Training (FET) curriculum in 2006, learners who terminate their study of Mathematics at the end of grade nine will have to study Mathematical Literacy, an applications-based mathematics course. In South Africa the Mathematics results at the grade twelve exit examination are generally poor and learners are known to underachieve in the field of geometry. This study was aimed at determining the readiness of learners in studying geometry under the Learning Outcome, Space, Shape and Measurement in the Mathematical Literacy curriculum. Questionnaires were administered to grade nine learners who had elected not to study, or were excluded from studying, Mathematics from grade ten onwards. Data was sought to determine what factors influence the decision to discontinue mathematics, and to gauge attitudes to the study of mathematics. Learners were given a test to measure geometry skills and knowledge that they ought to have acquired by the end of the senior phase in geometry. Data was also obtained from focus group interviews with both of learners and educators. This study indicates that learners do not continue mathematics because of the difficulties they experience. Furthermore they do not have the requisite skills and knowledge in Space, Shape and Measurement to cope with the Mathematical Literacy curriculum. Nevertheless, the attitudes of learners to the study of this new subject are positive. It is suggested that educators need to conduct baseline assessments to determine learners' abilities so as to plan appropriate revision measures before continuing with the teaching of Mathematical Literacy.
Thesis (M.Ed.)-University of KwaZulu-Natal, Durban, 2006.

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Sibaya, Duduzile Christinah. "Learners with learning difficulties in mathematics : attitudes, curriculum and methods of teaching mathematics." Thesis, 2012. http://hdl.handle.net/10210/6965.

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D.Ed.
The aim of this theses is to find out whether there is any relationship between learners' attitudes and learning difficulties in mathematics: To investigate whether learning difficulties in mathematics are associated with learners' gender. To establish the nature of teachers' perceptions of the learning problem areas in the mathematics curriculum. To find out about the teachers' views on the methods of teaching mathematics, resources, learning of mathematics, extra curricular activities and multiracial schools

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Anku, Sitsofe Enyonam. "Using small group discussions to gather evidence of mathematical power." Thesis, 1994. http://hdl.handle.net/2429/6974.

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The purpose of this study was to investigate, with or without prompts, students’ small group discussions of their solutions to mathematical problems and to determine the extent to which the students demonstrate mathematical power. Mathematical power was defined in terms of student assessment standards (SAS) and their integration. SAS, each of which has associated with it categories of mathematical activities, comprise communication, problem solving, mathematical concepts, mathematical procedures, and mathematical disposition. Other insights perceived to be important from the discussions were also documented. Grade 9 students of the regular school program were used for the study. There were 18 students in the class but only one group of students comprising 2 females and 2 males was the focus of the study. They responded to mathematical problems individually for 20 minutes and then used 40 minutes to discuss, in groups, their solutions to the problems. Also, they responded to questionnaire items. The group discussions were video recorded and analyzed. Data were collected on 7 different occasions using 7 different problems over a period of 3 months. - Results of the study indicate that students demonstrated mathematical power to the extent that at least one category of the mathematical activities associated with each SAS was reflected by the small group discussions of students’ solutions to mathematical problems. Other results indicate that combining students written scripts with students’ talk provides a better insight into the things about which students are talking. Also, monitoring students and providing them with prompts while they work in groups is useful in helping them accomplish tasks in which they are engaged. Finally, when students work in groups, they can shift their viewpoints consensually or conceptually to align their viewpoints with majority viewpoints.

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Li, Xuhui 1969. "An investigation of secondary school algebra teachers' mathematical knowledge for teaching algebraic equation solving." Thesis, 2007. http://hdl.handle.net/2152/3337.

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This study characterizes the mathematical knowledge upon which secondary school algebra teachers draw when pondering problem situations that could arise in the teaching and learning of solving algebraic equations, as well as examines the potential connections between teachers' knowledge and their academic backgrounds and teaching experiences. Seventy-two middle school and high school algebra teachers in Texas participated in the study by completing an academic background questionnaire and a written-response assessment instrument. Eight participants were then invited for followup semi-structured interviews. The results revealed three topic areas in equation solving in which teachers' mathematical subject matter understanding should be strengthened: (a) the balancing method, (b) the concept of equivalent equations, and (c) the properties of linear equations in their general forms. The participants provided a wide range of instances of student misconceptions and difficulties in learning how to solve linear and quadratic equations, as well as a variety of strategies for helping students to improve their understanding. Teachers' subject matter knowledge played a central or prerequisite role in their reasoning and decision-making in specific contexts. When the problem contexts became broader or more general, teachers drew from across the three basic domains of mathematical knowledge for teaching (knowledge of the mathematical subject matter, knowledge of learners' conceptions, and knowledge of didactic representations) and showed individual preferences. Overall, teachers tended to rely more heavily upon their knowledge of students' specific or general learning characteristics. Statistical analyses suggest that teachers who majored in mathematics and who had the most experience in teaching first-year or more advanced algebra courses performed significantly higher on the assessment than their counterparts, and there is a linear relationship between teachers' performance and the number of advanced mathematics course they have taken. Neither course-taking in mathematics education nor number of years of algebra teaching made a significant difference in their performance. Results are either unclear or inconsistent about the role of teachers' (a) use of algebra textbooks, (b) prior experience with a method or a manipulative, and (c) participation in professional development activities. Teachers also rated (a) collaborating with and learning from colleagues and (b) dealing with student conceptions and questions as highly influential on their professional knowledge growth.

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Khobo, Ramaesela Jerminah. "The effect of using computers for the teaching and learning of Mathematics to grade 10 learners at secondary school." Diss., 2015. http://hdl.handle.net/10500/20217.

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Over the past several decades there has been an emphasis on educational research pertaining to learners’ performance in Mathematics and on finding methods to improve learner performance in this subject. In South Africa, Grade 12 learners’ results in Mathematics from 2010 to 2013 were unsatisfactory as shown in DBE, 2013a. The teachers are challenged to find new teaching methods that will make the subject more interesting and appealing to the learners (Oliver & Makar, 2010 in Goos, 2010). The purpose of this study was to investigate the effect of using computers in the teaching and learning of Mathematics with special reference to the topic of linear functions in order to improve learner performance. The literature reviewed shows that the use of computers not only improves the learners’ performance but also changes their attitude towards Mathematics (Bester & Brand, 2013). The quantitative research approach was used to gather the data, namely the quasi- experimental, non-equivalent control group pre-test-post-test design. Two intact classes formed part of the research study, that is an experimental group (n=50) and control group (n=50). The experimental group learnt the concept of linear function using GeoGebra software. The control group learnt the same concept through the traditional pen and paper method. The data were analysed using the SPSS on ANOVA. The results indicated that there was a significant difference between the mean scores of the experimental group (μ=70.5) and the control group (μ=47.5). From the results it was evident that the use of computers had a positive effect on learners understanding of linear functions as reflected in their performance and on their attitude towards Mathematics, as seen in the questionnaire responses.
Mathematics Education
M. Ed. (Mathematics Education)

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Madungwe, Louise Stanley. "Opportunity to learn Mathematics : the case of visually impaired secondary school students in Zimbabwe." Thesis, 2018. http://hdl.handle.net/10500/25011.

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The study examined the opportunities to learn Mathematics that are accorded to secondary school students with visual impairment in Zimbabwe. The study focused on form one and form two students who are completely without sight, but are learning in inclusive settings, together with their Mathematics teachers. The study examined how teachers interacted with the subject matter, how the teachers interacted with the visually impaired students and how these students interacted with partially sighted students in the teaching and learning process. The study adopted the case study approach under the qualitative inquiry. Data was collected using document analysis, lesson observations, personal interviews with teachers and focus group interviews with students who were purposive sampled. The study established that visually impaired students were not accorded adequate opportunities to learn mathematics at secondary level. The reasons for this deficit are (1) visually impaired students learnt the same curriculum as sighted students when they could not access some topics on the syllabus, (2) the teachers were professionally qualified but they lacked the necessary specialist training for teaching students without sight, (3) teachers used the same teaching methods as those used with sighted students, (4) a lot of time was spent on task though not much ground was covered, (5) the schools were not adequately resourced with appropriate teaching and learning materials for use by visually impaired students, culminating in lost opportunities to learn mathematics. The study recommends that appropriately qualified teachers be deployed to teach at schools for the visually impaired, that all secondary teachers learn the basic modules in Special Needs Education during training. The study also recommends for the government to assist the schools for the visually impaired students to import the much needed teaching and learning equipment. The study has provided some knowledge about the learning of mathematics by visually impaired students in Zimbabwe in the areas of lesson delivery, materials provision, and programme adjustments at secondary teacher training colleges and universities. It has also provided curriculum planners with an insight on the prevailing situation with regard to the teaching and learning of mathematics by visually impaired students. This knowledge could be used when formulating future mathematics curriculum and training policies to do with non-sighted students in Zimbabwe and other countries in Africa.
Curriculum and Instructional Studies
D. Ed. (Curriculum Studies)

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Kruger, Aletta Susanna. "Begeleide leer vir adolessente met ontoereikende wiskunde-prestasie." Thesis, 2012. http://hdl.handle.net/10210/4566.

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D.Ed.
Adolescents who achieve inadequately in mathematics often experience that the different aids available to assist them on their road to recovery are not sufficient. Most adolescents do not know how to bring about desired change. They are not aware what their problem areas are and how it should be addressed. Due to growing numbers in the classrooms in formal teaching, the teacher cannot assist the student individually on an ongoing basis. Factors within the student and his circumstances may also prevent him from benefiting from assistance. Furthermore, most adolescents in the senior secondary phase, who want to study further, are pressurized by educational bodies for higher marks. Therefore, limited time also becomes an issue. Although several studies have been carried out to investigate this matter and create models, the majority of practical programmes lacked depth and a holistic approach.

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Van, der Wal Gerhard. "Exploring teaching strategies to attain high performance in grade eight Mathematics : a case study of Chungcheongbuk Province, South Korea." Diss., 2015. http://hdl.handle.net/10500/18577.

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This study focused on teaching strategies preferred and used by grade 8 mathematics teachers, what they thought was most effective for learning mathematics as well as students’ perspectives of their mathematics classroom. The aims of this study were to investigate the teaching strategies used in the South Korean mathematical classroom and to find out how they attain a high performance in mathematics, in comparison with other countries. The target population was chosen from within the Chungcheongbuk Province and ten schools were selected for the study. In order to determine what teaching strategies are used in the South Korean mathematics classroom, a case study using both quantitative and qualitative research methods was adopted. Data collection methods included questionnaires for the students while interviews were conducted with the teachers. The questionnaire contained fifty closed-ended questions divided into different sections to obtain data on teaching strategies used, on preferred learning styles from the students and on how they felt about mathematics and the mathematical classroom. The interview consisted of ten open-ended questions to get feedback from the mathematics teachers on what teaching strategies they used in the classroom and on what they thought were the best strategies with regard to teaching grade 8 mathematics. From the ten sampled schools there were two hundred and two students who participated in this research, and six teachers were interviewed. The results of the study showed that in the South Korean mathematics classroom a combination of direct instruction, practice and teacher guidance helps the students to learn problem-solving skills and to master mathematics. The students indicated that the teachers mostly used chalkboard instruction and that they practiced solving problems using worksheets, past exam paper questions and through homework or private study. The average student studied mathematics for about six hours a week and most attended afterschool academies for further studying mathematics. Although the South Korean students attained a high performance in mathematics it was evident that they indicated a low interest in the subject. The teachers stated in the interviews that they thought the students needed to see examples on the chalkboard, and then the students need to practice with guidance from the teacher. It was evident that the students focus a lot on guided practice, since they study for about six hours a week. The teachers also felt that the curriculum is overloaded and that there was a gap between the better and the poorer level of students in the mathematics classroom, this gap grew bigger as students lost motivation. The responses to the questionnaire showed that 65% of the students were not interested in mathematics; in spite of this South Korea is placed among the best performing countries in the world. The teachers also indicated that mathematics was very highly valued in South Korea and that parents and universities put a lot of pressure on students to perform well in this subject. This study provides better insight into what is happening in the South Korean mathematics classroom, what methods are used and how the students felt about the mathematics classroom and the strategies that are used. Apart from commenting on teaching strategies, there was also an indication of what teaching style the students preferred. The information in this research study can provide answers to questions regarding South Korean mathematics instructional practices and will be useful for future comparative studies regarding the teaching of mathematics in other countries.
Mathematics Education
M. Ed. (Mathematics Education)

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Abakah, Fitzgerald. "Exploring mathematics learners’ problem-solving skills in circle geometry in South African schools : (A case study of a high school in the Northern Cape Province)." Diss., 2005. http://hdl.handle.net/10500/27360.

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This study examined “problem solving skills in circle geometry concepts in Euclidean Geometry. This study was necessitated by learners’ inability to perform well with regards to Euclidean Geometry in general and Circle Geometry in particular. The use of naturalistic observation case study research (NOCSR) study was employed as the research design for the study. The intervention used for the study was the teaching of circle geometry with Polya problem solving instructional approach coupled with social constructivist instructional approach. A High School in the Northern Cape Province was used for the study. 61 mathematics learners (grade 11) in the school served as participants for the first year of the study, while 45 mathematics learners, also in grade 11, served as participants for the second year of the study. Data was collected for two consecutive years: 2018 and 2019. All learners who served as participants for the study did so willingly without been coerced in any way. Parental consent of all participants were also obtained. The following data were collected for each year of the research intervention: classroom teaching proceedings’ video recordings, photograph of learners class exercises (CE), field notes and the end-of-the- Intervention Test (EIT). Direct interpretations, categorical aggregation and a problem solving rubric were used for the analysis of data. Performance analysis and solution appraisal were also used to analyse some of the collected data. It emerged from the study that the research intervention evoked learners’ desire and interest to learn circle geometry. Also, the research intervention improved the study participants’ performance and problem solving skills in circle geometry concepts. Hence, it is recommended from this study that there is the need for South African schools to adopt the instructional approach for the intervention: Polya problem solving instructional approach coupled with social constructivist instructional approach, for the teaching and learning of Euclidean geometry concepts.
Mathematics Education

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Abakah, Fitzgerald. "Exploring mathematics learners’ problem-solving skills in circle geometry in South African schools : (a case study of a high school in the Northern Cape Province)." Diss., 2019. http://hdl.handle.net/10500/27360.

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This study examined “problem solving skills in circle geometry concepts in Euclidean Geometry. This study was necessitated by learners’ inability to perform well with regards to Euclidean Geometry in general and Circle Geometry in particular. The use of naturalistic observation case study research (NOCSR) study was employed as the research design for the study. The intervention used for the study was the teaching of circle geometry with Polya problem solving instructional approach coupled with social constructivist instructional approach. A High School in the Northern Cape Province was used for the study. 61 mathematics learners (grade 11) in the school served as participants for the first year of the study, while 45 mathematics learners, also in grade 11, served as participants for the second year of the study. Data was collected for two consecutive years: 2018 and 2019. All learners who served as participants for the study did so willingly without been coerced in any way. Parental consent of all participants were also obtained. The following data were collected for each year of the research intervention: classroom teaching proceedings’ video recordings, photograph of learners class exercises (CE), field notes and the end-of-the- Intervention Test (EIT). Direct interpretations, categorical aggregation and a problem solving rubric were used for the analysis of data. Performance analysis and solution appraisal were also used to analyse some of the collected data. It emerged from the study that the research intervention evoked learners’ desire and interest to learn circle geometry. Also, the research intervention improved the study participants’ performance and problem solving skills in circle geometry concepts. Hence, it is recommended from this study that there is the need for South African schools to adopt the instructional approach for the intervention: Polya problem solving instructional approach coupled with social constructivist instructional approach, for the teaching and learning of Euclidean geometry concepts.
Mathematics Education
M. Sc. (Mathematics Education)

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Mutsvangwa, Sekesai Bridget. "The influence of using a scientific calculator in learning fractions : a case study of one school in Gauteng Province." Diss., 2016. http://hdl.handle.net/10500/21804.

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The main purpose of the research was to investigate the influence of scientific calculators on Grade 8 South African learner's understanding of fractions in learning mathematics. Quasi-experimental quantitative research methods were used. A sampling frame was selected using non probability sampling technique. A total of 15 learners in each group were randomly selected for an experimental and control group for the study. Both groups were taught fraction concepts by different teachers for the same duration and at the same time. The experimental group used a calculator as a learning aid while the control group used the traditional paper pencil method. Two tasks (post-test and assignment) were administered to both groups and a questionnaire to the experimental group. The results indicated that the scientific calculator has a positive influence in learner's conceptual understanding of fractions in mathematics as reflected in their performance.
Mathematics Education
M. Ed. (Mathematics Education)

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Dimitriou-Hadjichristou, Chrysoula. "The effect of using Lakatos' heuristic method to teach surface area of cone on students' learning : the case of secondary school mathematics students in Cyprus." Thesis, 2015. http://hdl.handle.net/10500/20006.

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The purpose of this study was to examine the effect of using Lakatos’ heuristic method to teach the surface area of the cone (SAC) on students’ learning. The Lakatos (1976) heuristic framework and the Oh (2010) model of “the enhanced-conflict map” were employed as framework for the study. The first research question examined the impact of the Lakatosian heuristic method on students’ learning of the SAC, which was addressed in three sub-questions: the impact of the method on the students’ achievement, the impact of the method on their conceptual learning and the impact of the method on their higher order thinking skills. The second question examined whether the heuristic method of teaching the SAC helped students to sustain their learning better than the traditional method (Euclidean method). The third question examined whether the heuristic method of teaching SAC could change students’ readiness level, according to Bloom’s taxonomy. A pre-test and post-test quasi-experimental research design was used in the study that involved a total of 198 Grade 11 students (98 in the experimental group and 100 in the control group) from two schools in Cyprus. The instruments used for data collection were cognitive tests, lesson observations (video-recorded), interviews and questionnaire. Data was analysed using inferential statistics and the Oh (2010) model of the enhanced conflict map. Student achievement within time was the dependent variable and the method of training the independent variable. Therefore, time was the “within” factor and each group was measured three times (pre-test, post-test and delayed). The differences in students’ achievement within each group over time were examined. Results indicated that the average mean score achievement of the students in the experimental group was double that of the students in the control group. The Jun- Young Oh’s model of the enhanced conflict map showed that students in both groups changed from alternative conceptions to scientific conceptions with the experimental group showing greater improvement. It was also observed that from the post-test to delayed test, the Lakatosian method of teaching the SAC has a significant positive effect on students’ achievement at all levels of Bloom’s taxonomy, especially at the higher order thinking (HOT) levels (application and analysis-synthesis levels) as compared to the Euclidean method of teaching. In addition, the Lakatosian method helped the students to sustain their learning over time better than the Euclidean method did and also helped them to change their readiness level, especially at the HOT levels. The Lakatosian method helped students to foster skills that promote active learning. Of great importance was the use of mathematical language, as well as, the enhanced perception in the experimental group in comparison with the control group, through the use of the Lakatosian method. The results of this study are promising. It is recommended that pre-service teachers should be trained on how to effectively implement the Lakatosian heuristic method in their teaching.
Mathematics Education
D. Phil. (Mathematics, Science and Technology Education (Mathematics Education))

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Van, Zyl Aré Visagie. "Die onderrig van eksponentwette deur middel van die rekenaar." Thesis, 2014. http://hdl.handle.net/10210/11990.

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Owusu, James. "The impact of constructivist-based teaching method on secondary school lerners' errors in algebra." Diss., 2015. http://hdl.handle.net/10500/19207.

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The aim of this study was to investigate the comparative effects of Constructivist-Based Teaching Method (CBTM) and the Traditional Teaching Method (TTM) on Grade 11 Mathematics learners’ errors in algebra. The constructivist learning theory (CLT) was used to frame this study. Mainly, CLT was used to influence the design of CBTI to hone participants’ errors in algebra that militate against their performance in Mathematics. The study was conducted in the Mpumalanga Province of South Africa with a four-week intervention programme in each of the two participating secondary schools. Participants consisted of n=78 Grade 11 Mathematics learners and one Grade 11 Mathematics teacher. A non-equivalent control group design consisting of a pre-test and post-test measure was employed. The Grade 11 teacher in the control school employed the TTM while the researcher implemented CBTM in the experimental school. The main aspects of CBTM entailed participants’ construction of their own knowledge from the base of prior knowledge and through group learning approach and exploratory talk in which discussions included argumentation, verbalising explanations, justifications and reflections. Participants in experimental school became familiar with the basic principles of CBTI such as group work, which enhanced the construction of conceptual understanding of algebraic concepts. This reduced most of the errors they commit in algebra and elevated their performance in Mathematics. The principal instruments for data collection consisted of a standardised Algebra Concept Achievement Test and lesson observations. The pre-test was used to determine participants’ initial errors in algebra before the intervention. A post-test was given at the end of intervention to ascertain change in participants’ errors in algebra over a four-week intervention period. Using descriptive and inferential statistical techniques, the study found that participants in experimental school significantly reduced their errors in algebra than those in control school. The study showed that CBTM was a more effective pedagogy that improved the errors Grade 11 learners commit in algebra than the TTM.
College of Education
M. Ed. (Mathematics Education)

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44

Nyandoro, Kingston. "Language as a factor influencing teaching and learning mathematical literacy at grade 12 in Moloto circuit of Limpopo Province." Diss., 2019. http://hdl.handle.net/10500/26496.

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The study was carried out to: (1) determine the relationship between English and mathematical literacy scores at Grade 12 in Moloto Circuit, (2) understand and describe the learning difficulties experienced by learners when English language was used as a medium of instruction, and (3) suggest guidelines that could be used in teaching mathematical literacy. Regression and correlation analyses were carried out to determine the functional and strength of relationship between English language and mathematical literacy in the ten schools of Moloto Circuit. The views of the learners on the use of English language in the learning of mathematical literacy and the use of technical terms were sourced and analysed. The views of the educators about the use of English language as the medium of instruction were also analysed. A mixed approach methodology was used since both quantitative and qualitative methods were employed. The target population consisted of 305 learners who wrote the Grade 12 public examinations in 2016, 585 Grade 12 learners and 10 educators who completed questionnaires in January 2017. A census approach was carried out because everyone in Moloto Circuit doing Mathematical Literacy at Grade 12 level and their educators were studied. Grade 12 results for English and Mathematical Literacy for the 2016 academic year were collected and analysed. Questionnaires with closed and open-ended items were administered on Grade 12 learners and educators for the 2017 academic year in January 2017. Results in the ten schools showed that there was a positive relationship between performances in the two areas. In all cases the computed correlations were significant. This suggested that English influenced performance in Mathematical Literacy. This was supported by coefficients of determination calculations which ranged from 15% to 40%. Most responses indicated that learners found Mathematical Literacy difficult when English language was used as the medium of instruction. The learners preferred that Mathematical Literacy be taught in their mother tongue and that educators explain technical terms associated with mathematics. The educators said that learners had problems in Mathematical Literacy because of the use of English as the medium of instruction. They also said that learners found it difficult to relate Mathematical Literacy questions to real life situations and that the learners lacked adequate practice. The educators recommended the use of code-switching in their teaching in order to enhance understanding of Mathematical Literacy.
Mathematics Education
M. Ed. (Mathematics Education)

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45

Omoniyi, Adebayo Akinyinka. "Impact of constructivist instructional approach on grade 12 learners' understanding of stationary points in differential calculus." Diss., 2016. http://hdl.handle.net/10500/21193.

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With the realization that traditional instructional approach has not yielded satisfactory results, quasi-experimental and descriptive research designs were employed to investigate whether the application of constructivist instructional approach in the learning of stationary points in differential calculus by Grade 12 learners in South Africa would improve conceptual learning. Three Gauteng high schools of 204 Grade 12 learners constituted the research fields – one served as the control group while the other two represented the experimental group. Being a mixed-method research, quantitative data were gathered through pre-test and post-test while qualitative data were collected from classroom observations. Both inferential and descriptive statistical methods of data collection and analysis were used. The results obtained indicate that the experimental group demonstrated a better understanding of the concept of stationary points than the control group.
Mathematics Education
M. Sc. (Mathematics Education)

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Akintade, Caleb Ayodele. "Effect of computer assisted instruction on students' achievement and attitude towards latitude and longitude in Ogun State, Nigeria." Thesis, 2017. http://hdl.handle.net/10500/23613.

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For the past few years, the West African Examination Council (WAEC) Chief Examiners’ reports on students’ performance in mathematics have indicated that some topics (e.g. concepts of latitude and longitude) have posed a major problem for students at the senior secondary school level. This poor achievement of students in understanding the topic may be associated with the traditional “chalk and talk” method that teachers use in teaching the concept. Education reforms in recent years, have advocated for a student-centred method of teaching; a method that allows individualstudent towork at his own pace or in groups. Various researchers have encouraged the use of different forms of ICT, such as computer-assisted instruction (CAI), in the teaching of mathematics to improve students’ learning of topics in mathematics perceived to be difficult. With all the efforts concentrated on improving students’ performance in mathematics, no research studies have been conducted on the effectiveness of CAI on students’ achievement and attitude towards the learning of the concepts of latitude and longitude in Nigerian secondary schools. The study employed pre-test, post-test non-equivalent control group, quasi-experimental design involving two groups: experimental group (162) and control group (158) research design to investigate the effect of the CAI method of teaching on 2nd year senior secondary school students’ achievement and attitude to latitude and longitude.Instruments for the research study were Achievement test in latitude and longitude (ATLL); questionnaire on students’ attitude to latitude and longitude (QSALL); semi-structured interview and class observations protocol. The instruments were validated, and found reliable via a pilot study before they were employed for the main study. Datacollectedwere analysed using both the descriptive and inferential statistics to answer the research questions and to test the stated null hypotheses. Results showed a statistically significant difference in the post-test mean scores of the experimental and the control groups, whereas there was no statistally significant difference in the pre-test mean scores of these two groups. In addition, the results revealed non- significant difference between the mean scores of girls and boys in the post-test. Furthermore, there was no significant difference between science students’ post-test mean scores and their counterparts in the arts and commercial classes, and there was no interactive effect related to treatment, gender and students’ subject area in the post-test. Specifically, the knowledge in this study has added another dimension to everyday experiences of students in mathematics when the software was used to teach the perceived difficult topics, and they were actively involved in the learning process through the use of CAI techniques. The study concludes with recommendations for future research, because even though it is limited to Ogun State, it has potential for future research to be undertaken by expanding its scope to cover many other states in Nigeria. This study also recommends that efforts be made to integrate the philosophy of CAI to the teaching curriculum in Nigeiran secondary schools. Furthermore, applications of the recommendations would be appropriate for the improvement to the teaching methodology of mathematics and other science-related subjects in Nigerian secondary schools
Mathematics Education
Ph. D. (MSTE)

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Moyo, Methuseli. "Exploring misconceptions of Grade 9 learners in the concept of fractions in a Soweto (township) school." Diss., 2020. http://hdl.handle.net/10500/27157.

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The study aimed to explore misconceptions that Grade 9 learners at a school in Soweto had concerning the topic of fractions. The study was based on the ideas of constructivism in a bid to understand how learners build on existing knowledge as they venture deeper into the development of advanced constructions in the concept of fractions. A case study approach (qualitative) was employed to explore how Grade 9 learners describe the concept of fractions. The approach offered a platform to investigate how Grade 9 learners solve problems involving fractions, thereby enabling the researcher to discover the misconceptions that learners have/display when dealing with fractions. The research allowed the researcher to explore the root causes of the misconceptions held by learners concerning the concept of fractions. Forty Grade 9 participants from a township school were subjected to a written test from which eight were purposefully selected for an interview. The selection was based on learners’ responses to the written test. The researcher was looking for a learner script that showed application of similar but incorrect procedures under specific sections of operations of fractions, for example, multiplication of fractions. Both performance extremes were also considered, the good and the worst performers overall. The written test and the interviews were the primary sources of data in this study. The study revealed that learners have misconceptions about fractions. The learners’ definitions of what a fraction is were neither complete nor precise. For example, the equality of parts was not emphasised in their definitions. The gaps brought about by the learner conception of fractions were evident in the way problems on fractions were manipulated. The learners did not treat a fraction as signifying a specific point on the number system. Due to this, learners could not place fractions correctly on the number line. Components of the fraction were separated and manipulated as stand-alone whole numbers. Consequently, whole number knowledge was applied to work with fractions. A lack of conceptual understanding of equivalent fractions was evident as the common denominator principle was not applied. In the multiplication of fractions, procedural manipulations were evident. In mixed number operations, whole numbers were multiplied separately from the fractional parts of the mixed number. Fractional parts were also multiplied separately, and the two answers combined to yield the final solution. In the division of fractions, the learners displayed a lack of conceptual knowledge of division of fractions. Operations were made across the division sign numerators separate from the denominators. This reveals that a fraction was not taken as an outright number on its own by learners but viewed as one number put on top of the other which can be separated. Dividing across, learners rendered division commutative. A procedural attempt to apply the invert and multiply procedure was also evident in this study. Learners made procedural errors as they showed a lack of conceptual understanding of the keep-change-flip division algorithm. The study revealed that misconceptions in the concept of fraction were due to prior knowledge, over-generalisation and presentation of fractions during instruction. Constructivism values prior knowledge as the basis for the development of new knowledge. In this study, learners revealed that informal knowledge they possess may impact negatively on the development of the concept of fractions. For example, division by one-half was interpreted as dividing in half by learners. The prior elaboration on the part of a whole sub-construct also proved a barrier to finding solutions to problems that sought knowledge of fractions as other sub-constructs, namely, quotient, measure, ratio and fraction as an operator. Over generalisation by learners in this study led to misconceptions in which a procedure valid in a particular concept is used in another concept where it does not apply. Knowledge on whole numbers was used in manipulating fractions. For example, for whole numbers generally, multiplication makes bigger and division makes smaller. The presentation of fractions during instruction played a role in some misconceptions revealed by this study. Bias towards the part of a whole sub-construct might have limited conceptualisation in other sub-constructs. Preference for the procedural approach above the conceptual one by educators may limit the proper development of the fraction concept as it promotes the use of algorithms without understanding. The researcher recommends the use of manipulatives to promote the understanding of the fraction concept before inductively guiding learners to come up with the algorithm. Imposing the algorithm promotes the procedural approach, thereby depriving learners of an opportunity for conceptual understanding. Not all correct answers result from the correct line of thinking. Educators, therefore, should have a closer look at learners’ work, including those with correct solutions, as there may be concealed misconceptions. Educators should not take for granted what was covered before learners conceptualised fractions as it might be a source of misconceptions. It is therefore recommended to check prior knowledge before proceeding with new instruction.
Mathematics Education
M. Ed. (Mathematics Education)

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Bosman, Anne. "The relationship between student academic achievement and student learning styles in a multicultural senior school." Thesis, 2015. http://hdl.handle.net/10500/20187.

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Since 1994 South African classrooms have become more culturally diverse. In order to teach effectively in such an environment, teachers need to use strategies which meet the needs of all the students. One way of addressing this challenge is to consider learning styles theory. Teachers need to understand how individual students of all cultures learn, and which specific learning styles are significantly related to academic achievement. In order to investigate this relationship, a study was conducted at an independent multicultural senior school in the North West Province of South Africa. The aim of the research was to gather information on the learning style preferences of the students at the school; the relationship between the students’ academic achievements in English and mathematics and their learning style; and finally, the relationship between the students’ nationality, gender, form and age and their learning styles as well as their academic achievements in English and mathematics. A mixed methods research design was used. Data was collected by means of a structured questionnaire that was completed by a sample of 240 students of different forms, genders and nationalities. This was followed by individual interviews with ten top achieving students. The study found that the predominant learning style amongst the students in the school was individual learning. This particular learning style was also most significantly related to academic achievements in English and mathematics. The study further determined that nationality did not significantly influence students’ learning styles but gender and age did. Female students were found to be more inclined to be individual learners. Younger students were also found to be auditory learners to a greater extent than older students. Regarding the studying of English and mathematics, it was found that female students generally used auditory learning styles whilst male students preferred kinaesthetic learning styles. Lastly, the study found that the average achievements in mathematics deteriorated as the students got older and the worst performing form was the Form 6s. To this end, various suggestions were made as to how learning styles could be considered to improve learning. Recommendations for further study were highlighted along with the limitations of this research.
Psychology of Education
D. Ed. (Psychology of Education)

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49

Makandidze, Lancelot Sibanengi. "Exploring learners' understanding of trigonometric functions using GeoGebra software : a case of grade 11 Mathematics learners at a school in Tshwane South District." Diss., 2020. http://hdl.handle.net/10500/26949.

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Abstracts in English, Afrikaans and Zulu
The purpose of this study was to explore the learners’ understanding of trigonometric functions using GeoGebra software. A qualitative case study approach was used with six Grade 11 learners at a school in Tshwane South District. The data were collected during a seven-day period using multiple methods: a diagnostic test, worksheets, a smart recorder, a trigonometric functions test, one-on-one interviews and focus-group discussions. The findings showed clearly that the use of GeoGebra enhanced Grade 11 learners’ understanding of trigonometric functions. The findings also showed that the use of GeoGebra helped the learners to understand the basic trigonometric functions graphs. This enabled them to sketch freely without using the point-by-point method. Based on this study, it is recommended that GeoGebra should be made available to all Grade 11 learners. This will encourage them use the software out of regular school hours.
Die doel van hierdie studiegids was om die leerder se kennis van die gebruik van GeoGebra sagteware, ten opsigte van trigonometriese funksies te ondersoek. ‘n Kwalitatiewe benadering is gevolg met ses Graad 11 leerders by ‘n skool in die Tshwane Suid Distrik. Die data is ingewin oor ‘n periode van sewe dae, deur gebruik te maak van verskeie metodes: ‘n diagnostiese toets, werkkaarte, ‘n “smart” opname, ‘n trigonometriese funksies toets, een-tot-een onderhoude en fokusgroepe waar besprekings plaasgevind het. Die data-analise wys duidelik dat die gebruik van GeoGebra, die Graad 11 leerders gehelp het om trigonometriese funksies beter te verstaan. Die uitkomste wys ook duidelik dat GeoGebra die leerders gehelp het met ‘n beter begrip van die basiese trigonometriese funksies. Dit het hulle gehelp om vryhand sketse te doen en nie noodwendig die punt-tot-punt metode nie. Gebaseer op hierdie studie beveel ons aan dat GeoGebra beskikbaar gemaak moet word aan aale Graad 11 leerders. Dit sal leerders motiveer om ook die sagteware op hulle eie buite skoolure te gebruik.
Injongo yocwaningo lolu bekuyikuhlola ukuzwisisa kwabantwana amagrafu e-trigonometry ma bewafunda nge softhiwe ye GeoGebra. Abantwana abayisithupha abakubanga letshumi lanye abaphuma kusigodi se Tshwane South babambiqhaza kulolucwaningo lwendlela ye ‘qualitative case study’. Imininingo iqoqwe kumalanga ayisikhombisa kusetshenziswa indlela ezilandelayo: ukuhlolwa kwe-diagnostic, amaphepha okusebenzela, isingxoxo zamunye ngamunye lezingxoxo leqembu. Iziphumo ezinkulu zikhombe ngokucacile ukuthi ukusetshenziswa kwesofthiwe yeGeoGebra kukhulise ukuzwisisa kwamagrafu e-trigonometry ngabafundi bebanga letshumi lanye.Iziphumo njalo zibonise ukuthi abafundi bazwisisa izinto eziyisiseko ngala magrafu ma bewafunda ngesofthiwe ye GeoGebra. Lokhu kunike abafundi amandla okudwebadweba lamagrafu ngokushesha ngokukhululeka. Kusekelwa ngalezi ziphumo, kunconyiwe ukuthi abafundi bafumane isofthiwe yeGeoGebra ngaso sonke isikhathi. Lokhu kuzabakhuthaza ukuthi basebenzise lesofthiwe noma bengaphandle kwesikolo.
Mathematics Education
M. Ed. (Mathematics Education)

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50

Rankweteke, Puleng Edwin. "Using cooperative learning in a grade 11 classroom to enhance conceptual understanding of Trigonometry." Diss., 2020. http://hdl.handle.net/10500/26858.

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This study employed a qualitative approach to investigate the use of cooperative learning to enhance conceptual understanding of trigonometry in a Grade 11 mathematics classroom, conducted at a high school in Moletlane Circuit, Capricorn District in Limpopo Province, South Africa. A single case study was used as a research design to get an in-depth analysis and collect detailed data using semi-interviews and lesson observation of the cooperative learning of trigonometry in Grade 11 from the learners and the teacher. Participants were purposely chosen and consisted of (n=30) Grade 11 mathematics learners and their mathematics teacher. Data from the participants were collected through semi-structured interviews and observation, with the aid of observation guide (Appendix C) for three weeks. The salient findings from the study showed how cooperative learning was used, research questions, the approaches, the teacher did not adequately highlight the importance of trigonometry to students without integrating the topic to real-life situations. Some students said that the teacher did not teach trigonometry in a manner that they understood, which made trigonometry challenging for them. Concerning cooperative learning, the study found that many learners were passively engaged, listened to or watched the teacher. Mainly, the study recommends teacher-training institutions to host practical workshops to help teachers integrate theoretical training and practical cooperative learning experience. While this study was qualitative in nature, future researchers could conduct quantitative data collection. This would allow for the collection of numerical findings through survey questionnaires.
Mathematics Education
M. Ed. (Mathematics Education)

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