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Dawkins, George R. "Interactive teaching in mathematics". Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp04/mq21235.pdf.
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Segarra, Escandón Jaime Rodrigo. "Pre-service teachers' mathematics teaching beliefs and mathematical content knowledge". Doctoral thesis, Universitat Rovira i Virgili, 2021. http://hdl.handle.net/10803/671686.
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L’estudi del coneixement matemàtic i les creences de l’eficàcia de l’ensenyament de les matemàtiques en la formació inicial dels futurs mestres és fonamental, ja que influencia el rendiment acadèmic dels seus estudiants. L’objectiu d’aquesta tesi és estudiar tant el coneixement matemàtic inicial dels futurs mestres com també les seves creences sobre l’eficàcia matemàtica i la seva actitud envers les matemàtiques. Per a complir amb l’objectiu, es realitzen vàries investigacions. Primer, s’estudien els coneixements inicials de nombres i geometria dels estudiants del primer curs del Grau d’Educació Primària a la Universitat Rovira i Virgili (URV). En segon lloc, s’estudien les creences de l’eficàcia de l’ensenyament de les matemàtiques dels futurs mestres durant el grau. En tercer lloc, en aquesta Tesi es compara l’autoeficàcia i l’expectativa de resultats de l’ensenyament de les matemàtiques de futurs mestres, mestres novells i mestres experimentats. En quart lloc, s’estudia la relació entre les creences de l’ensenyament de les matemàtiques, l’actitud envers les matemàtiques i el rendiment acadèmic dels futurs mestres. En cinquè lloc, s’estudia la influència dels factors experiència docent, nivell d’educació i nivell d’ensenyament sobre les creences de l’eficàcia de l’ensenyament de les matemàtiques en mestres en actiu. Finalment, es compara l’autoeficàcia de l’ensenyament de les matemàtiques entre els estudiants del quart any del grau de mestres a la Universitat del Azuay i a la URV. Els resultats d’aquesta Tesi ofereixen informació potencialment important sobre el coneixement matemàtic, les creences, l’autoeficàcia de l’ensenyament de les matemàtiques i l’actitud envers les matemàtiques dels futurs mestres i dels mestres en actiu. Aquests resultats poden ajudar a desenvolupar polítiques adients a l’hora de dissenyar plans d’estudis i també assessorar als professors dels graus de mestre en les institucions d’educació superior.El estudio del conocimiento matemático y las creencias de la eficacia de la enseñanza de las matemáticas en la formación inicial de los futuros maestros es fundamental, ya que influye en el rendimiento académico de los estudiantes. El objetivo de esta tesis es estudiar tanto el conocimiento matemático inicial de los futuros maestros como sus creencias sobre la eficacia matemática y su actitud hacia las matemáticas. Para cumplir con el objetivo se realiza varias investigaciones. Primero, se estudia los conocimientos iniciales de números y geometría de los estudiantes de primer año del Grado de Educación Primaria en la Universidad Rovira y Virgili (URV). En segundo lugar, se estudia las creencias de la eficacia de la enseñanza de las matemáticas de los futuros maestros a lo largo del grado. Tercero, esta Tesis compara la autoeficacia y la expectativa de resultados de la enseñanza de las matemáticas de futuros maestros, maestros novatos y maestros experimentados. Cuarto, se estudia la relación entre las creencias de la enseñanza de las matemáticas, la actitud hacia las matemáticas y su rendimiento académico. Quinto, se estudia la influencia de los factores experiencia docente, nivel de educación y nivel de enseñanza, sobre las creencias de la eficacia de la enseñanza de las matemáticas en maestros en servicio. Finalmente, se compara la autoeficacia de la enseñanza de las matemáticas entre los estudiantes de cuarto año del grado de maestro en la Universidad del Azuay y en la URV. Los resultados de esta Tesis ofrecen información potencialmente importante sobre el conocimiento matemático, las creencias, la autoeficacia de la enseñanza de las matemáticas y la actitud hacia las matemáticas de los futuros maestros y maestros en servicio. Estos resultados pueden ayudar a desarrollar políticas adecuadas para diseñar planes de estudios y también asesorar a los profesores de los grados de maestro en las instituciones de educación superior.
The study of mathematical content knowledge and teachers’ mathematics teaching beliefs of the pre-service teachers is fundamental, since it influences the academic performance of students. The objective of this Thesis is to study the initial mathematical knowledge of pre-service teachers and also their teachers’ mathematics teaching beliefs and their attitude towards mathematics. To meet the objective, various investigations are carried out. First, the initial knowledge of numbers and geometry of first-year students of the primary education degree at the Rovira and Virgili University (URV) is studied. Second, pre-service teachers’ mathematics teaching beliefs are studied throughout the grade. Third, this Thesis compares the self-efficacy and the expectation of results of the teaching of mathematics of pre-service teachers, novice in-service teachers and experienced in-service teachers. Fourth, the relationship between the teachers’ mathematics teaching beliefs, the attitude towards mathematics and their academic performance is studied. Fifth, the influence of the factors teaching level factor and level of training on the teachers’ mathematics teaching beliefs of in-service teachers is studied. Finally, the self-efficacy of mathematics teaching of fourth-year students at the Azuay University and at the URV is compared. The results of this Thesis offer potentially important information on the mathematical knowledge, beliefs, self-efficacy of mathematics teaching and the attitude towards mathematics of pre-service teachers and in-service teachers. These results can help develop policies for curriculum developers and teaching professors at institutes of higher education.
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Brown, Gary I. Dossey John A. "Jean D'Alembert, mixed mathematics and the teaching of mathematics". Normal, Ill. Illinois State University, 1987. http://wwwlib.umi.com/cr/ilstu/fullcit?p8726500.
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Thesis (D.A.)--Illinois State University, 1987.Title from title page screen, viewed August 11, 2005. Dissertation Committee: John A. Dossey (chair), Robert K. Ritt, Lawrence C. Eggan, Ira Cohen, Marcia D. Young. Includes bibliographical references (leaves 270-277) and abstract. Also available in print.
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GieSinger, Patricia. "Teaching practices and secondary mathematics students' perceptions about mathematics". Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape7/PQDD_0023/MQ51346.pdf.
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Mustoe, Leslie. "Strategies for teaching engineering mathematics". Thesis, Loughborough University, 1988. https://dspace.lboro.ac.uk/2134/15428.
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This thesis is an account of experiments into the teaching of mathematics to engineering undergraduates which have been conducted over twenty years against a background of changing intake ability, varying output requirements and increasing restrictions on the formal contact time available. The aim has been to improve the efficiency of the teaching-learning process. The main areas of experimentation have been the integration in the syllabus of numerical and analytical methods, the incorporation of case studies into the curriculum and the use of micro-based software to enhance the teaching process. Special attention is paid to courses in Mathematical Engineering and their position in the spectrum of engineering disciplines. A core curriculum in mathematics for undergraduate engineers is proposed and details are provided of its implementation. The roles of case studies and micro-based software are highlighted. The provision of a mathematics learning resource centre is considered a necessary feature of the implementation of the proposed course. Finally, suggestions for further research are made.
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Aqeel, Ebtisam. "Evaluating ICT in mathematics teaching". Thesis, Brunel University, 2005. http://bura.brunel.ac.uk/handle/2438/7893.
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The challenge for educators is to prepare students for life in a technological advanced society that will continue to change exponentially. Work requirements have changed and computer skills have become a basic requirement for a majority of jobs. As computers have become more prevalent in everyday life and in the work place, their use has gained in importance around the world. Kuwait, like other countries, has recognised the need to increase the technological background of its students to compete better in world markets. This research recognises the importance of ICT in Education and realises the difficulties involved in its effective adoption. For that reason, it presents an empirical study of the ICT adoption process by examining perceived innovation attributes, and the relationship of individual characteristics in this process. The theory that supports the research effort is Rogers' theory of Diffusion of Innovation, which was used as the theoretical framework to hypothesise a model of ICT adoption. This model is called the ICT ARABIA Model (ICT Adoption using Rogers' model, and Bringing In Addition), and was designed to elicit the relative importance of the perceived innovation attributes in influencing ICT adoption in Mathematics education. The empirical context of the research is 259 participants in mathematics departments, which are analysed using quantitative and qualitative research approaches. Results indicated that the ICT ARABIA Model was most useful in explaining ICT adoption by mathematics departments. The relative importance of each factor of the ICT ARABIA Model was determined by rank ordering the mean importance scores for each factor. However, an additional factor emerged, and this was leadership. Also, demographic characteristics were found non-significant predictors of ICT adoption. These findings highlighted many issues for further study. The main concern was regarding the importance of the perceptions of innovation attributes in influencing the ICT adoption in mathematics education; however, leadership was also an influential factor, which resulted from interviews. Those interested in programme innovation and change in educational departments may need to focus on finding a strong leader to help in the process.
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Barham, Jeffrey Clement. "Teaching mathematics to deaf children". Thesis, University of Cambridge, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.328555.
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Moberg, Helén. "Digital tools in mathematics teaching". Thesis, Malmö högskola, Lärarutbildningen (LUT), 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:mau:diva-30487.
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Syftet med min studie var att undersöka om problemlösning i matematik gick att förena med användandet av digitala hjälpmedel/program ur ett elev- och lärarperspektiv. Mina frågeställningar rörde hur digitala program som verktyg påverkade matematikundervisningen och hur elever och lärare såg på att arbeta på detta sätt.Det har visat sig i olika rapporter och bland forskare att skolan i Sverige generellt är dålig på att använda digitala verktyg i matematikundervisningen. I skolans styrdokument står det tydligt att moderna verktyg ska användas i undervisningen. Vidare visar rapporter på att matematikundervisningen fortfarande tenderar att vara tyst räkning. Forskare menar att om man använder sig av digitala verktyg leder detta till samspel. Jag ville undersöka kombinationen digitala verktyg och att använda sig av problemlösning i matematiken.Metoden jag har använt är att läsa böcker, tidningar, artiklar, avhandlingar och även på webben. Mitt underlag bygger på observationer i en andraklass vid fyra tillfällen, intervjuer med fyra elever och läraren i klassen. Klassen arbetade med digitala program där de löste problemlösningsuppgifter i matematik.Resultatet visade att digitala program i undervisningen gav eleverna möjligheter till att samspela, samtala, reflektera och att använda sig av matematiska begrepp. Slutsatsen är att digitala verktyg är ett av flera verktyg som bidrar till att eleverna samspelar, samtalar med varandra, reflekterar och använder ett matematiskt språk. Digitala verktyg ger eleverna ett lustfyllt verktyg till att lösa uppgifter av problemlösande karaktär i matematik som också finns i deras vardag. Dock ser jag att lärarens betydelse är stor och att det är viktigt hur undervisningen är upplagd.
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Wong, Tak Wah Terry. "Competency in mathematics teaching : subject content knowledge, pedagogical content knowledge and attitudes toward teaching mathematics". Thesis, University of Leicester, 2002. http://hdl.handle.net/2381/31010.
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This study investigated pre-service primary mathematics teachers' teaching practice (TP) performance in the context of their subject content knowledge (SCK), pedagogical content knowledge (PCK) and attitude towards mathematics teaching (AMT). The interrelationships among these variables are analyzed too. Attitudes toward mathematics teaching and previous SCK achievement were elicited using twenty Likert-item statements and their previous highest public mathematics examination results respectively whilst information on student teachers' PCK achievement and TP performance were obtained through direct teaching observation. The sample consisted of 104 student teachers drawn from two different training programmes, 2-Year Certificate of Education (CE) Course and 4-Year Bachelor of Education (BEd) Programme, at the first stage. Hence 52 student teachers were invited to participate in the second stage, TP supervision. Differences across programmes, year groups and gender were investigated. This study found that AMT has a positive effect on TP performance and it is also positively correlated with PCK achievement. However, it is surprising that subject content knowledge (SCK) has no statistically significant relationships with AMT, PCK achievement and TP performance. There were no substantial gender-related differences on AMT and SCK achievement however, female student teachers performed better than male student teachers on tasks requiring patience on preparation of lesson plans and teaching aids, explanations of mathematical concepts and making discussion with pupils. Besides, and surprisingly, CE student teachers had better PCK than BEd student teachers and CE student teachers also improved more than BEd student teachers in AMT by comparing their Pre- and Pro-TP AMT scores. These findings have important implications for the design of teacher training programmes and teaching effectiveness in mathematics. It is recommended that similar research be replicated for secondary student teachers, full time kindergarten, primary and secondary teachers and with questionnaires written in Chinese if necessary.
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Cardoso, Alexandre Miranda. "Mathematics Teaching Assistants' Reflections on Their First Year Teaching". Bowling Green State University / OhioLINK, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1403525638.
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Taylor, Denise. "The role of commercial mathematics schemes in primary mathematics teaching". Thesis, University of York, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.288795.
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Bunning, Kimberly Ann. "The mathematics teaching self: The role of prospective elementary teachers' stories about learning and teaching mathematics". Connect to online resource, 2007. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3273693.
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Kim, In Hong. "Preschool Teachers’ Knowledge of Children’s Mathematical Development and Beliefs About Teaching Mathematics". Thesis, University of North Texas, 2013. https://digital.library.unt.edu/ark:/67531/metadc407808/.
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Early childhood education emphasizes the need of providing high quality early childhood mathematics programs for preschool children. However, there is little research that examines the importance of preschool children’s mathematical knowledge development and teachers’ beliefs about how to teach mathematics to young children. The purposes of this study were to investigate pre-service and in-service preschool teachers’ knowledge of children’s mathematical development and their beliefs about teaching mathematics in the preschool classroom and also to determine how experience differentiates the two groups. This research employed a non-experimental research design with convenient sampling. Ninety-eight pre-service teachers and seventy-seven in-service preschool teachers participated in the research. The Knowledge of Mathematical Development survey (KMD) and the Beliefs survey were used to investigate possible differences between pre-service and in-service preschool teachers’ knowledge of children’s mathematical development and between their beliefs about teaching mathematics. The findings of this study indicate a statistically significant difference between pre-service teachers and in-service preschool teachers in relation to their knowledge of mathematical development. This finding shows that pre-service teachers’ knowledge of children’s mathematical development is somewhat limited; most pre-service teachers have difficulty identifying the process of preschool children’s development of mathematics skills. A second finding reveals a statistically significant difference between pre-service teachers and in-service preschool teachers in relation to their beliefs about (a) age-appropriateness of mathematics instruction in the early childhood classroom, (b) social and emotional versus mathematical development as a primary goal of the preschool curriculum, and (c) teacher comfort with mathematics instruction. No statistically significant difference was found between pre-service teachers’ and in-service preschool teachers’ beliefs regarding the locus of generation of mathematical knowledge. Both groups believe it is the teacher’s responsibility to intentionally teach mathematics to young children. This result suggests that both pre-service and in-service preschool teachers believe that teachers should play a central role in the teaching of mathematics to preschool children. However, both groups would need appropriate education and training to learn how to teach mathematics to young children. Pre-service and in-service preschool teachers’ varying levels of experiences and different levels of education may help explain why there is a significant difference between their knowledge of mathematical development and beliefs about teaching mathematics.
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Bowers, David Matthew. "Impact of Mathematics Courses for Prospective Teachers on their Mathematical Knowledge for Teaching". The Ohio State University, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=osu1460973988.
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Åkesson, AnnaCarin, i Sara Rudberg. "Teaching and learning mathematics in India". Thesis, Linnéuniversitetet, Institutionen för matematikdidaktik (MD), 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-32617.
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Våra tre månader i Indien har resulterat i en studie av olika perspektiv på lärande, inom ämnet matematik. De synsätt på lärande som vi observerade hos de indiska lärarna har kopplats till studiens fyra valda perspektiv; det behavioristiska perspektivet, det kognitiva perspektivet, det pragmatiska perspektivet och det sociokulturella perspektivet. Fältstudien genomfördes i en skola i den södra delstaten Kerala. Elever och lärare på skolan deltog under våra observationer, intervjuer och undervisningsförsök. Vår slutsats är att undervisningen innehöll influenser från alla fyra valda perspektiv, och att somliga perspektiv förekom mer än andra.Our three months in India included a field study of different perspectives on learning the subject of mathematics. The chosen perspectives were; the behaviouristic perspective, the cognitive perspective, the pragmatic perspective and the socio-cultural perspective. The study was implemented with teachers and students at a public school in the state of Kerala, which is situated in the southernmost part of the country. They participated in our observations, interviews and teaching experiments. We sought to ascertain which of the four chosen learning perspectives the faculty and students at the host school use for educating. Our conclusion is that the observed teaching methods had influences from all four chosen perspectives, some more than others.
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Nivens, Ryan Andrew. "Teaching Mathematics Methods During Residency 1". Digital Commons @ East Tennessee State University, 2015. https://dc.etsu.edu/etsu-works/220.
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Drake, Pat. "Working for learning : mathematics for teaching". Thesis, University of Sussex, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.430957.
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Kahle, Diane Kay. "HOW ELEMENTARY SCHOOL TEACHERS MATHEMATICAL SELF-EFFICACY AND MATHEMATICS TEACHING SELF-EFFICACY RELATE TO CONCEPTUALLY AND PROCEDURALLY ORIENTED TEACHING PRACTICES". The Ohio State University, 2008. http://rave.ohiolink.edu/etdc/view?acc_num=osu1211122861.
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Rampersad, Roger. "Mathematics anxiety and achievement in mathematics 436". Thesis, McGill University, 2003. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=19394.
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Mathematics 436 is the advanced mathematics course offered to students in secondary IV in the province of Quebec. Although the course is designed to challenge students in the advanced stream, it has produced a high number of failures. This study examines the relationship between mathematics anxiety and achievement in Mathematics 436. Fifty-six students from an English high school on the island of Montreal took part in the study. The Mathematics Anxiety Rating Scale for Adolescents was used to measure the level of mathematics anxiety experienced by the students. In addition, grades from the previous year in mathematics were obtained, as well as grades from the present year, and the final examination. The results of the study suggest that students enrolled in Mathematics 436 experience a high level of mathematics anxiety. As well, higher levels of mathematics anxiety experienced by the students are associated with poor performance in mathematics.
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Player-Koro, Catarina. "Reproducing Traditional Discourses of Teaching and Learning Mathematics : Studies of Mathematics and ICT in Teaching and Teacher Education". Doctoral thesis, Högskolan i Borås, Institutionen för Pedagogik, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:hb:diva-3622.
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This thesis is primarily concerned with the effects of education for future teachers in the context of the Swedish teacher training (Government Bill 1999/2000:135 2000). It belongs to a theoretical tradition in which the education system is viewed as a key factor in cultural production and reproduction in educational practices through symbolic control (Apple 2009; Ball 2006; Bernstein 2000, 2003). Symbolic control defines how forms of social interaction affect what is possible to think, say and do in different situations. The thesis is focused specifically on student mathematics teachers learning to become teachers of mathematics. It has a particular focus on the materials used in this, the meanings given to these materials and the identities produced through the possible embodiment of these meanings. The use of different educational technologies, including in particular ICT, has been of special interest. It aims therefore to understand both how mathematical discourses are produced and reproduced in teacher education and how this colours student teachers’ views on mathematics and their professional identity (Bernstein 2000, 2003; Valero 2007). The main outcomes of my thesis are that through the way that mathematics is taught and learned, mathematics teacher education in practice reproduces traditional ways of teaching and learning. This in that mathematics instruction is built around a ritualized practice based on the ability to solve exercises related to an examined-textbook-based content. ICT use in this context is not transformative. Rather it seems as if teaching and learning with digital technology operate as a relay in the reproduction of traditional forms of education practice. This is contrary to the intentions to renew and revitalise mathematics education and the thesis thus suggests that there is a need to scrutinize the way new technology is formulated in official discourses and appropriated in educational work. Two other things are also noteworthy in the thesis findings. The first is an increased emphasis on formal subject content through recent policy developments. This re-emphasis reaffirms the value of authoritative subject studies content as the central and most important component in the professional knowledge base. On the basis of the finding from the thesis the logic of the reform may be questioned. Also important is the ICT discourse that is constituted in wider society by selected agents. In this discourse digital technology often in many ways defines (post)modern society and the position it and education have as a driving force toward economic competitiveness. An alternative, more reflexive and critical approach where questions about technology uses in education are emphasized is suggested as necessary.Disputationen äger rum fredagen den 4 maj 2012, kl. 13.15, Sal Gamma, Hus Svea, IT Fakulteten, Forskningsgången 4, Lindholmen
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Graves, Barbara, i Christine Suurtamm. "Disrupting linear models of mathematics teaching|learning". Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-79920.
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In this workshop we present an innovative teaching, learning and research setting that engages beginning teachers in mathematical inquiry as they investigate, represent and connect mathematical ideas through mathematical conversation, reasoning and argument. This workshop connects to the themes of teacher preparation and teaching through problem solving. Drawing on new paradigms to think about teaching and learning, we orient our work within complexity theory
(Davis & Sumara, 2006; Holland, 1998; Johnson, 2001; Maturana & Varela, 1987; Varela, Thompson & Rosch, 1991) to understand teaching|learning as a complex iterative process through which opportunities for learning arise out of dynamic interactions. Varela, Thompson and Rosch, (1991) use the term co-emergence to understand how the individual and the environment inform each other and are “bound together in reciprocal specification and selection” (p.174). In particular we are interested in the conditions that enable the co-emergence of teaching|learning collectives that support the generation of new mathematical and pedagogical ideas and understandings. The setting is a one-week summer math program designed for prospective elementary teachers to deepen particular mathematical concepts taught in elementary school. The program is facilitated by recently graduated secondary mathematics teachers to provide them an opportunity to experience mathematics teaching|learning through rich problems. The data collected include
questionnaires, interviews, and video recordings. Our analyses show that many a-ha moments of mathematical and pedagogical insight are experienced by both groups as they work together throughout the week. In this workshop we will actively engage the audience in an exploration of the mathematics problems that we pose in this unique teaching|learning environment. We will present our data on the participants’ mathematical and pedagogical responses and open a discussion of the implications of our work.
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Lawlor, M. Catherine. "SLAM, a multimedia mathematics teaching support system". Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp01/MQ38391.pdf.
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袁東璇 i 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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Viirman, Olov. "The function concept and university mathematics teaching". Doctoral thesis, Karlstads universitet, Institutionen för matematik och datavetenskap, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-31205.
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This thesis concerns the teaching of mathematics at university level, with a particular focus on the teaching of the function concept. The main aim of the thesis is describing and analysing the teaching practices of university mathematics teachers regarding the function concept, and how this concept is constituted through these practices. To this end, video recordings of lectures by seven mathematics teachers at three Swedish universities were analysed using a discursive perspective, Sfard’s commognitive framework. The observed teaching was traditional in form, with teachers using “chalk talk” – simultaneously talking and writing on the board. The results show that the teaching practices of the teachers belong to two distinct but intertwined discourses – a mathematical discourse, and a discourse of mathematics teaching. Classifications of important aspects of these discourses are presented, and it is found that the teachers’ discursive practices, while sharing overall form, still display considerable differences. Other results include an analysis of the levels of objectification displayed by the teachers in their discursive constitution of the function concept. The study contributes to a small but growing body of empirical research on university mathematics teaching practice.
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Nothdurft, Lyn M. "Teaching for autonomy in senior secondary mathematics". Thesis, Queensland University of Technology, 2000. https://eprints.qut.edu.au/36626/1/36626_Digitised%20Thesis.pdf.
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Smith, Edward Charles. "Reconceptualizing mathematics teaching and learning: Teacher learning in a realistic mathematics context". University of the Western Cape, 2000. http://hdl.handle.net/11394/8470.
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Philosophiae Doctor - PhDIn this study the construct of personal theories is used to represent the teacher's conceptions, which are interpreted as the consciously held beliefs. The teacher's personal theories encompass beliefs, images, values and attitudes as well as understanding about teaching and learning. This study investigates the influence of the teacher's conceptions of mathematics, of the teaching and learning of mathematics and of the context before and after a structured learning experience. The interest in the teacher's conceptions is derived from the assumption that these serve as a primary component that influence how teachers think about their professional responsibilities and how they act in their classrooms. Furthermore, the extent of implementation of a new curriculum has been linked to the scope of congruence between the teachers' conceptions and the underpinning philosophy of the intended curriculum. The study of the teacher's conceptions is especially relevant during a time of educational reform, such as the current transition to an Outcomes Based Education curriculum in South Africa. The participants in this study consist of four primary school mathematics teachers with various educational backgrounds, who teach at schools situated in different physical environments. The conceptions that these teachers have of mathematics, of the teaching and learning of mathematics and the influence of the context are investigated using a variety of instruments. Data collection was done with a questionnaire, a repertory grid, a semi-structured interview and lesson observations. The teachers participated in the Teaching Intervention and Support Programme (TISP), as a structured teacher learning experience. The programme is centred on the integration of the developmental and socio-cultural perspectives on teacher learning. With the developmental perspective the focus is on the acquisition of intellectual skills, while the socio-cultural perspective emphasizes participation in social practice. Both are directed at effecting conceptual change. With the developmental approach the process of conceptual change involves the development of new conceptions from existing conceptions. From the socio-cultural perspective the context is paramount and conceptual change is seen as new ways of being and acting within a particular context. The teachers were invited to attend a two-week intervention session, followed by a six months support programme that was aimed at establishing a teacher learning community. The learning experiences provided during the intervention session were drawn mainly from Realistic Mathematics Education. On completion of the programme, the teachers' conceptions of mathematics, of the teaching and learning of mathematics and the influence of the context were again investigated. The results of this study show that two of the participants had highly mechanistic conceptions of mathematics, and the teaching and learning of mathematics. The remaining two had a more empiristic approach with its high focus on environmental activities. After the programme, the teachers with the mechanistic views adopted a mixed. conception with some of the mechanistic conceptions retained, but now interspersed with some empiristic and realistic conceptions. The participants with the empiristic conceptions adopted a more realistic conception, but again to varying degrees. Thompson's (1991) hierarchical structure for the development of conceptions was also used to describe the extent of conceptual change. However, it was found that a concentric, rather than a hierarchical representation is a more appropriate to describe these changes. With regards to the socio-cultural view of conceptual change, all the participants perceived the context differently. The teachers' actions were also more commensurate with the practices associated with teachers that encourage learner autonomy, mathematical investigations and a facilitative role for the teacher.
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Lehmann, Jane Nedine. "Reading mathematics: Mathematics teachers' beliefs and practices". Diss., The University of Arizona, 1993. http://hdl.handle.net/10150/186198.
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This study explores the relationship between university mathematics teachers' beliefs about the nature of reading mathematics and their practices regarding reading mathematics. It is a response to the calls for reform in mathematics education, particularly to the assertion made by the National Council of Teachers of Mathematics in 1989 that not all students can read mathematical exposition effectively and that all students need instruction in how to read mathematics textbooks. It presupposes a collaboration between reading and mathematics teachers to help students learn to read mathematics. The objectives were (1) to examine mathematics teachers' beliefs and practices regarding reading, mathematics, and thereby, reading mathematics; (2) to determine whether the theoretical perspectives implicit in those beliefs and practices could be characterized vis-a-vis the theoretical orientations that inform Siegel, Borasi, and Smith's (1989) synthesis of mathematics and reading; and (3) to determine the relationship, if any, that exists between mathematics teachers' beliefs about reading mathematics and their practices regarding reading mathematics. The synthesis presents dichotomous views of both mathematics and reading: Mathematics is characterized as either a body of facts and techniques or a way of knowing; reading, as either a set of skills for extracting information from text, or a mode of learning. The latter view, in each case, can be characterized as constructivist. The researcher was a participant observer in a university sumner program. The primary participants were fourteen mathematics instructors. Interviews were conducted using a heuristic elicitation technique (Black & Metzger, 1969). Field notes were taken during observations of classroom activities and other non-academic summer program activities. The data were coded using a constant comparative method (Glaser & Strauss, 1967) comparative method. Twelve instructors held conceptions of reading that were consistent with their conceptions of mathematics. Of those twelve, two held conceptions that could be characterized as constructivist; ten held conceptions that were not constructivist. Two instructors held conceptions of reading that were not consistent with their conceptions of mathematics. Of those two, one held a constructivist conception of reading but not of mathematics; one held a constructivist conception of mathematics but not of reading. Teachers' practices reflected their theoretical orientations. The study has implications for teacher education: If teachers' beliefs are related to their practices, then teacher education programs should (1) acknowledge the teachers' existing beliefs and (2) address the theoretical orientations implicit in various aspects of pedagogy.
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黃裕德 i Yue-tak Wong. "The nature of mathematical knowledge: a phenomenological review and it's implications on mathematics education". Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1998. http://hub.hku.hk/bib/B3196056X.
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Kahle, Diane Kay Borton. "How elementary school teachers mathematical self-efficacy and mathematics teaching self-efficacy relate to conceptually and procedurally oriented teaching practices". Columbus, Ohio : Ohio State University, 2008. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=osu1211122861.
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Alleyn, Suzanne. "Learning the language of mathematics". Thesis, McGill University, 2004. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=81477.
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In this thesis, I describe how interactive journal writing was used to improve the understanding of mathematics, and to foster communication with two groups of remedial grade ten students. Mathematics is a gatekeeper course in high school, and students who are not successful with this subject are at a distinct disadvantage, both in terms of their education and in their future careers. A persistent source of difficulty for these students is related to language; students often struggle both to understand what is being taught, and how to explain concepts or problem solutions in their own words. Interactive journal writing was initiated as a means of addressing this situation, and of meeting the objectives proposed by the Quebec Education Plan, which specifies three closely related competencies: (1) solve situational problems; (2) use mathematical reasoning; (3) and communicate by using mathematical language. There is ample proof in the research literature that communication plays an important role in supporting learners by helping them clarify, refine and consolidate their thinking.This study demonstrates the importance of allowing and encouraging students to use writing as part of their learning processes. By writing about what they are being taught, students are forced to slow down, examine and reflect on the steps they use to solve problems. Sharing what they write promotes meaningful dialogue and personal engagement, essential ingredients of successful learning.
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Cooley, Laurel A. "An Alternate Route to Urban Mathematics Teaching: The NYC Teaching Fellows Program". Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-79604.
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The NYC Teaching Fellows (NYCTF) program, as the nation’s largest alternative certification program, aims to provide high-needs NYC public schools with highly qualified teachers in such hard-to-staff areas as math, science, and special education. Reports of NYCTF teacher retention are mixed; The New Teacher Project (TNTP) claims high retention rates, but other research indicates that fellow recruits have lower retention rates than other teachers in similar NYC schools – only Teach for America (TFA) exhibits higher attrition (Boyd et al., 2006). After scrutinizing these contrary claims, this paper examines the retention of a recent cohort of approximately 300 Mathematics Teaching Fellows (MTFs) in the NYCTF program, examining MTF’s early attrition, movements from school to school in the NYC system, and professional plans for the future. We also include findings on teacher
induction, school leadership, and school context that affect MTF retention.
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Waswa, Anne, i Mitchelle Wambua. "Teaching and Learning of Mathematics in Sweden : Methods, Resources and Assessment in Mathematics". Thesis, Linnéuniversitetet, Institutionen för utbildningsvetenskap (UV), 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-45007.
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Nisbet, Leslie. "Mathematics Teaching Experiences of Elementary Preservice Teachers with High and Low Mathematics Anxiety during Student Teaching: A Multiple Case Study". FIU Digital Commons, 2015. http://digitalcommons.fiu.edu/etd/2193.
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This study investigated the teaching experiences of six elementary preservice teachers (EPTs), three with high mathematics anxiety and three with low mathematics anxiety, during their student teaching semester. The EPTs were selected from an initial pool of 121 EPTs who took the Abbreviated Mathematics Anxiety Scale. The cases were compared in a cross case analysis to highlight mathematics teaching experiences among EPTs. Data sources included EPT and researcher journal entries, interview transcripts, pre-lesson surveys, field notes, lesson plans, and artifacts of observed lessons. Data were coded using Shulman’s content knowledge, Graeber’s mathematics pedagogical content knowledge, and mathematics anxiety characteristics.
Findings revealed both similarities and differences across EPTs as related to four major categories: (a) planning and resources used, (b) role of the cooperating teacher, (c) content knowledge, and (d) pedagogical content knowledge. All EPTs used mostly direct instruction and relied on the course textbook and their respective cooperating teacher as their primary resources for planning. Additionally, across participants, the cooperating teacher influenced EPTs’ perceptions of students and teaching. Also, EPTs with high mathematics anxiety were weaker with respect to content knowledge and pedagogical content knowledge. Findings suggest a need to re-design methods courses to address improving the pedagogical content knowledge of EPTs with mathematics anxiety. Findings also suggest a need to develop content specific mathematics courses for EPTs to improve their content knowledge. Future studies could include a longitudinal study to follow highly anxious EPTs who take content specific elementary mathematics courses to observe their content knowledge and mathematics anxiety.
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Breton, Daniel. "Teaching Mathematics in English to Swedish Speaking Students : A systematic review of strategies for teaching mathematics to second language learners". Thesis, Högskolan Dalarna, Matematik/tillämpad matematik, 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:du-21206.
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The Swedish government has authorised the teaching of mathematics in English to Swedish speaking students. Much of that teaching is performed by foreign trained native English speaking teachers lacking training in second language learners. This systematic review summarises international studies from the last ten years that deal with the teaching of mathematics to second language learners. The review shows that second language students working in a bilingual environment achieve higher rates of content and language knowledge than learners in a monolingual environment. This study also summarises some of the teacher practices that are effective for teaching mathematics in English to second language learners.
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Yin, Yiqun. "Teaching, learning, and exploration". Thesis, Massachusetts Institute of Technology, 1994. http://hdl.handle.net/1721.1/33525.
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Leung, Kung-shing. "The impact of teaching of analytical skills on the mathematics achievement of Form three students". Hong Kong : University of Hong Kong, 1986. http://sunzi.lib.hku.hk/hkuto/record.jsp?B1803553X.
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Olsson, Rebecca, Isabell Petersson i Emilie Williamsson. "Same numbers, different standards : A minor field study of mathematic teaching in an elementary school in Thailand". Thesis, Linnéuniversitetet, Institutionen för datavetenskap, fysik och matematik, DFM, 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-11912.
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The purpose of this study is to illustrate how teachers, in a private school in Thailand, organize and plan their mathematic teaching, what material they use and how the teachers challenge the students. In the background, we report briefly about Thailand and the school's history. Then a presentation follows of previous research that has been made within our chosen subject. The theories are linked to our research questions, such as mathematic teaching, mathematic material and gifted students, according to Western literature. You can also find a short summary of the curriculum for mathematics, from the government in Thailand. Trough a qualitative method five interviews with mathematic teachers and observations in their classes have been conducted and this result have been analyzed and discussed. Interview and observation guides were used with the purpose to give the respondents room to develop their reasoning with the help of our follow- up questions. Trough our interviews and observations we have come to a result that shows that the teachers organized their teaching according to a Brain based learning pattern and after the governments curriculum. The mathematic material consisted of mathematic books, laminated sticks, bars, number cards and also of computer programs. The mathematic books were not individualized but played a significant part of the teaching. The plastic material was used to concretize the mathematics. The school had the idea that separating the gifted students from the others in the group was positive for their development. The gifted students were challenged by more difficult mathematics meant for older students and had to work at a higher pace than their peers. The results can not be generalized for all schools in Thailand. When the study is relatively small, it only shows how a part of the mathematics teaching is implemented at the school where the study was conducted.
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Kim, Rina. "South Korean elementary teachers' knowledge for teaching mathematics". Thesis, Boston College, 2014. http://hdl.handle.net/2345/bc-ir:104388.
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Thesis advisor: Lillie Richardson AlbertThe purpose of this research is to identify the categories of South Korean elementary teachers' knowledge for teaching mathematics. Operating under the assumption that elementary teachers' knowledge for teaching affects students' learning, eleven South Korean elementary teachers volunteered to participate in this study. Emerging from the data collected and the subsequent analysis are five categories of South Korean elementary teachers' knowledge for teaching mathematics: Mathematics Curriculum Knowledge, Mathematics Learner Knowledge, Fundamental Mathematics Conceptual Knowledge, Mathematics Pedagogical Content Knowledge, and Mathematics Pedagogical Procedural Knowledge. The first three categories of knowledge play a significant role in mathematics instruction as an integrated form within Mathematics Pedagogical Content Knowledge. A notable conclusion of this study is that Pedagogical Content Knowledge might not be the sum of the other categories of knowledge for teaching mathematics. These findings may be connected to results from relevant studies in terms of the significant role of teachers' knowledge in their mathematics instruction. This study contributes to the existing literature in that it provides empirical bases for understanding teachers' knowledge for teaching mathematics and reveals the relationship among categories of knowledge for teaching mathematics
Thesis (PhD) — Boston College, 2014
Submitted to: Boston College. Lynch School of Education
Discipline: Teacher Education, Special Education, Curriculum and Instruction
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Luwango, Luiya. "Critical reflective teaching practice in three mathematics teachers". Thesis, Rhodes University, 2009. http://hdl.handle.net/10962/d1003366.
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This qualitative study reports on critical reflective teaching by three mathematics teachers and how it shapes their classroom practice. The study was carried out in three secondary schools in Rundu in northern Namibia. The study employed a case study method. The selection of teachers was based on their rich practical professional knowledge and exemplary teaching practices. Data collection and analysis was done through an interpretive approach. Interviews and document analyses were the two research tools used, not only for the collection of data but for triangulation also. Interpretations of the findings were validated through member checking. Critical reflective teaching involves thought and action, and it raises teachers’ consciousness of what they do. Through critical reflective practice, teachers scrutinize their beliefs and knowledge of the subject and their practice. Furthermore critical reflective practice may get teachers into a disposition to find alternatives to improve their teaching. In this study, the findings are that participants reflect extensively on their classroom practice. The teachers pointed out that reflection on practice enables them to analyse and evaluate their teaching in line with effective mathematics teaching. They emphasised that critical reflection leads to the identification of weaknesses in teachers’ classroom practice. This culminates in better planning whereby alternative approaches to teaching are exercised. Because of its potential to improve teaching and enhance professional development it is therefore recommended that mathematics teachers be exposed to skills that enhance critical reflective teaching practice. Teachers need to familiarise themselves with the concept of critical reflective teaching in mathematics to meet the demands of superior quality teaching.
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Folk, Sandra. "Understanding teaching for understanding in the mathematics classroom". Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape7/PQDD_0016/NQ45670.pdf.
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Barnson, M. Patricia. "Perceiving mathematics teaching through the eyes of children". Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape3/PQDD_0016/MQ56111.pdf.
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Lau, Yin-har, i 劉燕霞. "Values teaching in Hong Kong junior secondary mathematics". Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1996. http://hub.hku.hk/bib/B31958734.
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Alghurabi, Yasser Mohammed. "A conceptual e-learning system for teaching mathematics". Thesis, Bangor University, 2017. https://research.bangor.ac.uk/portal/en/theses/a-conceptual-elearning-system-for-teaching-mathematics(a5ae6f99-f31e-4f58-9075-2daa9f12911b).html.
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Researchers have been attempting to implement effective e-learning methods that improve educational outcomes and consider their conformity with human psychology and current state of the technology. Hence, e-learning systems with a particular focus on cognitive-related aspects have emerged as a potential solution. This research study aimed on enhancing students’ conceptualisations and mental perceptions of mathematical geometric concepts using an e-learning system that was developed based on key aspects of the Cognitive Theory of Gärdenfors’ Conceptual Spaces (Gärdenfors, 2000), which utilises a combination of visual and audio. The research achieved this through an effective agent-based model that was designed to help in teaching basic mathematical geometric in primary school. The e-learning systems adapts to the individual student’s needs and pace to conceive the geometric concepts while maintaining the design objective of a flexible and proactive approach for the agents that is semi-autonomous. This research study investigated the instruction of geometric concepts for primary school students based on three national curricula (UK, New Zealand and Saudi Arabia). Sets of questions were developed to study the students’ understanding of selected concepts through a rigorous process of surveying primary school math teachers, determining the appropriate level of question difficulty and requesting the verification and appraisal of the type and format of the questions from the mathematical instructor community. Based on the generated sets of questions, a prototype of an e-learning system was developed and used in a pilot experiment that was conducted on students from the UK and Saudi Arabia to investigate whether students’ misconceptions were consistent with Gärdenfors’s Conceptual Spaces cognitive model. In addition to the variations in students’ answers, the experiment revealed consistent misconceptions based on the mistakes made on specific questions, which confirmed several aspects of the Conceptual Spaces cognitive model. These results led to the implementation of the CABELS e-learning system, which was developed based on this theory, to enhance student conceptualisations of the previously determined common misconceptions in a way that assimilates their mental perceptions of the studied concepts. CABELS includes two parallel modules, which are the language-based and visualbased modules, and involves three stages: a pre-test, lessons explaining the concepts and a post-test. The CABELS system was first used in experiments on primary school students in Saudi Arabia, which highly improved their understanding of lines and shape concepts. Furthermore, a statistical analysis of the experiment data showed that there was no noticeable effect of the teaching methods, groups, classrooms or genders on the students’ scores nor any interdependence between these variables. Therefore, these results reinforce the effectiveness of CABELS for teaching basic geometric shape concepts to primary school pupils. The effectiveness of the CABELS system was also evaluated through post-session interviews with students to assess their satisfaction and experiences with CABELS. The results showed an overall satisfaction of students regarding the use of this system, which the students indicated was mainly due to its usability and usefulness.
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Clement, Lisa Lorraine. "The constitution of teachers' orientations toward teaching mathematics /". Diss., Connect to a 24 p. preview or request complete full text in PDF format. Access restricted to UC IP addresses, 1999. http://wwwlib.umi.com/cr/ucsd/fullcit?p9935477.
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Jaworski, Barbara. "Interpretations of a constructivist philosophy in mathematics teaching". Thesis, n.p, 1991. http://ethos.bl.uk/.
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Lau, Yin-har. "Values teaching in Hong Kong junior secondary mathematics". Hong Kong : University of Hong Kong, 1996. http://sunzi.lib.hku.hk/hkuto/record.jsp?B1760252X.
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Warburton, Rebecca Kay. "Learning through teaching : factors influencing teachers' mathematics knowledge". Thesis, University of Leeds, 2015. http://etheses.whiterose.ac.uk/11886/.
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Understanding mathematics teacher knowledge is an international endeavour, seen by researchers as a key part of improving pupil learning. Within the last few decades, several conceptions of teacher knowledge have been proposed within the literature including Mathematical Knowledge for Teaching (Ball and colleagues) and the Knowledge Quartet (Rowland and colleagues). However, multiple criticisms of these conceptions exist, prompting the introduction of a new approach to considering teacher knowledge within this thesis. Rather than seeking to categorise a knowledge unique to teaching different than the mathematical knowledge required for other professions, this research aims to examine how knowledge changes within the context of trainee secondary teachers in England. The poor mathematics results of school leavers in the UK as well as a shortage of mathematics teachers, has influenced government policies on teacher training. Bursaries differentiated by degree class and the introduction of government-sponsored ‘subject knowledge enhancement’ (SKE) courses (to graduates from numerate disciplines) attempt to increase the quality and supply of teachers. By examining how knowledge changes over a teacher training course, with emphasis on the divide between SKE and non-SKE course participants, it is proposed that further insights into the knowledge useful for teaching and how this knowledge needs to be organised can be gleaned. This mixed methods study employs questionnaires, interviews and observations to track the knowledge change of a sample of Postgraduate Certificate in Education (PGCE) students over their year-long course. Results of the current study suggest that changes in the quality rather than quantity of knowledge take place over a PGCE course, in other words, a change in the organisation of knowledge. In addressing the research questions, this study also: raises questions about what the Mathematical Knowledge for Teaching items measure; suggests potential changes to the Knowledge Quartet codes; evaluates the proposed alternative approach to knowledge; and, discusses implications for teacher training policy.
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Dupree, Kami M. "Secondary Mathematics Teachers’ Responses to Pivotal Teaching Moments". DigitalCommons@USU, 2019. https://digitalcommons.usu.edu/etd/7535.
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This study used a multiple case study design to explore the occurrence of pivotal teaching moments, teachers’ responses to these moments, and teachers’ own perceptions of the impact of these moments on their own knowledge development. The participants were six practicing secondary mathematics teachers. The researcher collected data from teacher created lesson plan outlines, observations of the same lesson delivered to two different classes, participant interviews, and teacher reflection journals. The researcher reviewed the lesson plan outlines prior to observations to understand teachers’ anticipations. During observations, the researcher recorded observed pivotal teaching moments, corresponding teacher responses to these moments, and instructional changes between the two observed lessons. Interviews allowed the researcher to identify in-the-moment teacher thinking and teachers’ motivations for their responses. Teacher reflection journals provided insights related to teachers’ classroom actions and learning.
The results confirmed and built upon existing classifications of pivotal teaching moments and teachers’ responses, while also identifying seven themes related to teacher motivations for their responses. Teachers’ perceptions of changes in their own knowledge base occurred for their content knowledge as well as their pedagogical content knowledge. Future research should explore how pivotal teaching moments are created, how teacher-student interactions shape teacher knowledge development, and examine the role of teachers’ reflections about their practice in their knowledge development
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Traise, Amy K. "Mathematics knowledge for teaching and the classroom environment". Thesis, Queensland University of Technology, 2015. https://eprints.qut.edu.au/87431/1/Amy_Traise_Thesis.pdf.
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This study investigated the classroom environment in an underperforming mathematics classroom. The objectives were: (1) to investigate the classroom environment and identify influences upon it, and (2) to further explore those influences (i.e., teacher knowledge). This was completed using a diachronic case study approach in which data were gathered during lesson observations and coaching sessions. These data were analysed to describe and exemplify the classroom environment, then further described against forms of teacher knowledge. Conjectures regarding the importance of teacher knowledge of content were made which formed a base for developing a model of teacher planning and pedagogy.
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Leung, King-shun, i 梁景信. "Pre-service teachers' attitudes towards mathematics and mathematics education". Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1996. http://hub.hku.hk/bib/B30106515.
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