Dissertations / Theses: 'Mathematics concepts'

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Zell, Simon. "Using physical experiments in mathematics lessons to introduce mathematical concepts." Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-81188.

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Physical experiments have a great potential in mathematics lessons. Students can actively discover how mathematical concepts are used. This paper shows results of research done how students got to know the different aspects of the concept of variable by doing simple physical experiments. Further it will be shown what other concepts could be touched by the same treatment.

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Fogdall, Todd Stephen. "Concept booklets : examining the performance effects of journaling of mathematics course concepts /." [Boise, Idaho] : Boise State University, 2009. http://scholarworks.boisestate.edu/td/49/.

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Smith, Michael M. "PRE-CALCULUS CONCEPTS FUNDAMENTAL TO CALCULUS." University of Akron / OhioLINK, 2006. http://rave.ohiolink.edu/etdc/view?acc_num=akron1164048974.

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Zell, Simon. "Using physical experiments in mathematics lessons to introducemathematical concepts." Proceedings of the tenth International Conference Models in Developing Mathematics Education. - Dresden : Hochschule für Technik und Wirtschaft, 2009. - S. 611 - 614, 2012. https://slub.qucosa.de/id/qucosa%3A1831.

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Physical experiments have a great potential in mathematics lessons. Students can actively discover how mathematical concepts are used. This paper shows results of research done how students got to know the different aspects of the concept of variable by doing simple physical experiments. Further it will be shown what other concepts could be touched by the same treatment.

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McNaney, Danielle. "Student response to mathematical concepts in context." Thesis, Manhattan, Kan. : Kansas State University, 2009. http://hdl.handle.net/2097/1645.

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Swanson, David. "Vygotsky's theory of scientific concepts and connectionist teaching in mathematics." Thesis, University of Manchester, 2016. https://www.research.manchester.ac.uk/portal/en/theses/vygotskys-theory-of-scientific-concepts-and-connectionist-teaching-in-mathematics(3e2fb24f-70bf-4dc0-8282-aff6fb8e3a64).html.

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This thesis can be described in various terms. It is a translation of Vygotsky's theory of scientific concepts, in reality a theory of development, into a theory of mathematics teaching and learning. It is a theorisation, and development, of connectionist pedagogy in mathematics (a relatively underdeveloped, yet exemplary, amalgam of various reform/progressive /meaningful approaches to teaching). And, it is an investigation of the elements and processes involved in mathematical concept development, and the mediating role which classroom tasks can play. Alongside this, these understandings are embedded within a wider understanding of society, schooling, mathematics and mathematics teaching which help explain the current dominant practice in the classroom, and in doing so add to the understandings already described. In sum, the thesis therefore represents the beginnings of a systematic Marxist perspective of mathematics education which can cohere analysis at the multiple levels of society, schooling, classroom teaching and learning, and individual concept development. As such it is also, as should always be the case with Marxist perspectives, a guide to action for critical mathematics educators. The thesis begins with context, motivation and strategy, an overview of relevant literature, and an explanation of the methodology and methods used within. The relationship between Vygotsky's theory of concept development and connectionist teaching is then outlined and developed. The wider societal perspective follows, with an emphasis on generalised commodity production as the key shaper of schools and classrooms. Both of these themes are then developed in relation to the example of vocational mathematics, both providing evidence of the existence and nature of scientific activity and concepts, and connecting their absence to the obstacles related in the previous section. The thesis continues by exploring a pedagogical development based on Vygotsky's theory, looking at the explicit problematising of generalisation, and analysing classroom dialogue in relation to this. In the other direction, a theoretical development is then made, following an illustration of the pedagogical and theoretical framework through the development of a particular concept. Finally, conclusions are drawn and future work outlined.

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Kudri, Soraya Rosana Torres. "L-fuzzy compactness and related concepts." Thesis, City University London, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.283158.

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Marko, Benjamin David. "Teaching Concepts Foundational to Calculus Using Inquiry and Technology." University of Akron / OhioLINK, 2006. http://rave.ohiolink.edu/etdc/view?acc_num=akron1144777991.

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Mamona, Joanna C. "Students' interpretations of some concepts of mathematical analysis." Thesis, University of Southampton, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.329490.

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Her, Ming Hang Yun. "An investigation of students' media preferences in learning mathematical concepts." unrestricted, 2006. http://etd.gsu.edu/theses/available/etd-05032006-133322/.

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Thesis (Ph. D.)--Georgia State University, 2006.
Title from title screen. Christine D. Thomas, committee charir; Nikita D. Patterson, Clara Nosegbe Okoka, Janice S. Scott, Pier A. Junor-Clarke, committee members. Electronic text (176 p. : forms, graphs (some col.)) : digital, PDF file. Description based on contents viewed May 1, 2007. Includes bibliographical references (p. 134-143).

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Alexander, Cathleen Marie. "Community college developmental education students' understanding of foundational fraction concepts." Thesis, University of California, Davis, 2014. http://pqdtopen.proquest.com/#viewpdf?dispub=3614168.

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Mathematics, in general, and algebra courses, in particular, have been categorized as "gatekeepers" for higher education, better jobs, and even citizenship. For many low-income and working adults, community college is the institution where they choose to develop their mathematics understanding so they can pursue their dreams. Unfortunately many fail in their attempts. In an effort to better understand their plight so that the community colleges can better meet their needs, I studied community college students' foundational fraction understanding. Specifically, I examined students' procedural skills and problem-solving strategies to determine evidence of fragmented knowledge and fragile learning. I investigated a sample of 373 adult students in four tiers of community college developmental education mathematics courses: Computational Arithmetic, Pre-Algebra, Beginning Algebra, and Intermediate Algebra. In Phase 1, I quantitatively examined students' performance on a written assessment of foundational fraction problems. I compared groups of students to determine if differences might be due to factors of course level, age, and number of years out of school. In Phase 2, I interviewed 33 of the lowest performing students and examined their explanations and categorized students' problem-solving strategies and levels of procedures and explanations while using the strategies. My analysis revealed five major findings. 1. Students' average score on an 11-item foundational fraction assessment was 74%, below what I considered mastery level on the assessment. 2. The assessment scores differed based on course level rather than other demographic factors. 3. On specific NAEP items, Algebra and Intermediate Algebra students scored similarly to United States eighth-graders, whereas Arithmetic and Pre-Algebra students scored higher than 4th graders yet lower than eighth-graders. 4. The foundational fraction items related to magnitude tended to be the most difficult for the students. 5. The major characteristics of students' conceptual understanding were fragmented, fragile, non-fluent and only rarely, sophisticated. While community college developmental education students know something about fractions, my research indicated that their knowledge was held as multiple unconnected knowledge chunks, bits and pieces of prior knowledge mixed with inaccurate, imprecise and partial notions and procedures making students' resulting "fraction sense" tenuous. Although they sometimes successfully solved problems, occasionally with sophisticated self-generated strategies, students were not fluent in their fraction knowledge. The dissertation ends with some recommendations for instructors to address students' limited fraction understanding along with some suggestions for the system as a whole to make fraction instruction a greater priority in developmental courses so that more students can achieve their goals.

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Wright, Kimberly Boddie. "Assessing EC-4 preservice teachers' mathematics knowledge for teaching fractions concepts." Texas A&M University, 2008. http://hdl.handle.net/1969.1/86023.

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Recognizing the need for U.S. students' mathematics learning to be built on a solid foundation of conceptual understanding, professional organizations such as the National Council of Teachers of Mathematics (2000) and the Conference Board of the Mathematical Sciences (2001) have called for an increased focus on building conceptual understanding in elementary mathematics in several domains. This study focuses on an exploration of two aspects of Hill, Schilling, and Ball's (2004) mathematics knowledge for teaching: specialized content knowledge (SCK) and knowledge of content and students (KCS) related to fractions concepts, an area that is particularly challenging at the elementary level and builds the foundation for understanding more complex rational number concepts in the middle grades. Eight grades early childhood through four preservice teachers enrolled in a mathematics methods course were asked to create concept maps to describe their knowledge of fractions and interpret student work with fractions. Results showed the preservice teachers to be most familiar with the part-whole representation of fractions. Study participants were least familiar with other fraction representations, including fractions as a ratio, as an operator, as a point on a number line, and as a form of division. The ratio interpretation of a fraction presented the greatest difficulty for study participants when asked to describe student misconceptions and create instructional representations to change students' thinking.

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Roicki, Joseph. "EFFECTS OF DISCUSSION AND WRITING ON STUDENT UNDERSTANDING OF MATHEMATICS CONCEPTS." Master's thesis, University of Central Florida, 2008. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/2953.

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For this action research project, I wanted to examine my practice of teaching mathematics. Specifically, I encouraged students to improve their communication skills during my math class through daily discussion and writing tasks. After establishing a class set of sociomathematical norms, the students solved problems provided by the Every Day Counts: Calendar Math program and used verbal and written formats to describe their problem solving methods and reasons. My study showed the effects of using discussion and writing to help students develop their conceptual understanding of mathematical ideas. Focus was placed on the quality of daily discussions and written tasks both at the beginning of the study and continually as the study progressed. Through daily discussions, monthly written assessments, and student interviews, the study helped to determine the importance of developing students' mathematical communication skills and building conceptual understanding of mathematical ideas.
M.Ed.
Department of Teaching and Learning Principles
Education
K-8 Math and Science MEd

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Dogbey, James K. "Concepts of Variable in Middle-Grades Mathematics Textbooks during Four Eras of Mathematics Education in the United States." Scholar Commons, 2010. https://scholarcommons.usf.edu/etd/1615.

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This study used content analysis to investigate the development of the concept of variables in middle grades mathematics textbooks during four eras of mathematics education in the United States (New Math, Back to Basics, Problem Solving, and the NCTM Standards era: 1957 – 2009). It also examined the nature of support that the curricula provide for teachers to enact variables ideas in the classroom. Findings revealed that each of the middle grades mathematics curricula examined used variables, but in varied proportions and levels of complexity. Formal definitions for variables were found in 11 of the 12 students’ editions examined. The characteristics of the definitions for variables found in the different curricula were, however, different from one another. The uses of variables as placeholders and as labels dominated the uses of variables in the mathematics curricula. The least used category of variables was as an abstract symbol. When examined in terms of the content areas, the use of variables as placeholders dominated Number and Operations, and Algebra contents. In Geometry, Measurement, and Data Analysis and Probability content areas, the use of variables as labels was predominant. Overall, the data did not reveal any systematic or drastic change in the treatment of variable ideas during the 50 year period within which this study is situated. There was however, a steady increase in the use of variables as varying quantities across grade levels, and the four eras of mathematics education in the United States. There were also some noticeable changes in the treatment of variable ideas found in Math Connects curriculum when compared to the treatment in the other three curricula. The data collected also supported the evidence of guidance provided to teachers in the respective curricula to enact variable ideas in the classroom. However, the amount of guidance identified was limited in the majority of the curricula. Limitations of the study, implications for curriculum and teacher development, as well as recommendations for future research are also presented.

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Dayson, Gaynor. "Children’s concepts about the slope of a line graph." Thesis, University of British Columbia, 1985. http://hdl.handle.net/2429/25377.

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This study is concerned with how children interpret the slope of a line graph. Today with the vast accumulations of data which are available from computers, people are being faced with an ever increasing amount of pictorial representation of this data. Therefore it is of the utmost importance that children understand pictorial representation. Yet in spite of the popularity of graphs as tools of communication, studies show that many adults experience difficulty in reading information presented in a graphical form. The slope of the graph was chosen for this investigation because it is in this aspect of graphing (as shown by the results of the 1981 B.C. Assessment) that children in British Columbia seem to have the greatest difficulty when they reach Grade 8. The study dealt with positive, negative, zero and infinite slopes, combinations of these slopes, curvilinear graphs and qualitative graphs, that is, graphs that have no numerical data shown on the axes. The researcher chose to use a structured individual interview as a means of collecting data about how the students interpreted the slope of a line graph. Graphs used in the interviews dealt with temperature, height, weight and distance. Twenty-two students were chosen for this study. The students were found to have problems mainly with graphs dealing with distance related to time. This problem may be due to the fact that many students read only one axis and when interpreting distance seem to include direction as an added dimension of the graph. Infinite slope graphs were misinterpreted by every student, which may be due to the fact that they ignore the time axis. In general students used two methods of interpreting graphs. In some cases they observed the direction of the graph from left to right, that is, whether the slope went up or down from left to right. In other cases they examined the end points on the graph and drew their conclusions from them. The choice of method varied with the contextual material shown on the graph, which may be due to the children's concept of the parameter in the physical world and whether they see the parameter as being able to increase and decrease over time. From the study the investigator feels that more discussion of graphing by teachers and students is needed if the misconceptions are to be cleared up. Discussion of the parameters of both axes by teachers might help clear up the misconceptions students have about distance travelled over a period of time when this is expressed as a graph. There would be less chance of a graph being read as a map if the relationships between the two axes were demonstrated to students. Teachers also need to be aware of both methods used by students in interpreting graphs.
Education, Faculty of
Graduate

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Tau, Morongwana Elias. "Exploring mathematical concepts embedded in the mechanics and operations of the centre pivot irrigation system." Thesis, University of Limpopo, 2016. http://hdl.handle.net/10386/1809.

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Thesis (M. Ed. (Mathematics Education)) -- University of Limpopo, 2016
The advent of a new mathematics curriculum in South Africa requires a sound Pedagogical Content Knowledge (PCK) for both novice and experienced educators. Central to this is the challenge of identifying and exploring “rich and appropriate” contexts that may serve as “scaffolds” in the understanding and internalization of school level mathematics concepts. This exploratory, inductive study focused on a real-life irrigation technology in the farming sector with a view to “exploring” the general school level mathematics concepts that might be “grounded” in the machine’s mobility and water spread mechanisms. Data was generated through two stages of theoretical and practical approaches. This was in accordance with Alasuutari’s (1993) phases of simplification of observations and “solving the enigma” during an exploratory research project. In the theoretical approach, the operations of a linear move irrigation machine and a circular move center pivot irrigation system were mimicked through sketches which were explored for the general school level mathematics concepts embedded therein. The practical approach centrally focused on hands-on activities that aimed at verifying the theoretical mathematics models that were perceived to explain how the CPIS moves and spread water across the entire irrigation field. An intense observation of the actual Centre Pivot Irrigation System (CPIS) at the research site formed the spine of the latter data collection stage. Finally a document analysis, which focused on mathematics documents such as the National Curriculum Statement and Curriculum and Assessment Policy Statement documents for grades R-12, was done to ascertain the school level at which the grounded general mathematics concepts are applicable. The findings of this study indicated that certain mathematics concepts might be “constructed” and consolidated in the CPIS context or setting.

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Abu-Arish, Hiba Ibrahim. "Perfect Numbers and Perfect Polynomials: Motivating Concepts From Kindergarten to College." The Ohio State University, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=osu1461154144.

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Dixit, Akriti. "Fundamental concepts on Fourier Analysis (with exercises and applications)." Manhattan, Kan. : Kansas State University, 2008. http://hdl.handle.net/2097/898.

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Harnett, Rait Sicklen. "Complete regularity and related concepts in L-uniform spaces." Thesis, Rhodes University, 1992. http://hdl.handle.net/10962/d1005217.

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L will denote a completely distributive lattice with an order reversing involution. The concept of an L-uniform space is introduced. An extension theorem concerning L-uniformly continuous functions is proved. A characterisation of L-uniformizability, involving L-complete regularity is given. With respect to L--completely regular spaces it is shown that the topological modification of an L-completely regular space is completely regular. Furthermore it is shown that the topologically generated L-topology of a completely regular space is L-completely regular.

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Mulqueeny, Ellen S. "How Do Students Acquire an Understanding of Logarithmic Concepts?" Kent State University / OhioLINK, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=kent1340912890.

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Lynn, Derek. "Implementing Writing in a Secondary Math Class to Improve Student Understanding of Math Concepts." Defiance College / OhioLINK, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=def1281622037.

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Barnard, Marelize. "The representation of geometric concepts in Grade 6 Mathematics textbooks: a socio-cultural analysis." Master's thesis, University of Cape Town, 2015. http://hdl.handle.net/11427/22032.

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In this study Vygotsky's theory of concept formation is used to gain insight into the representation of geometric concepts in grade six mathematics textbooks. According to Vygotsky, higher order mental functioning is developed when scientific and everyday concepts are dialecfoally linked. The textbook as a mediating artefact has an important role to play in the process of concept formation. To determine if the geometry of space and shape is presented as scientific concepts in the text, content analysis of three randomly sampled grade six mathematics textbooks were conducted. The analysis included an investigation of what misconceptions exist in the text and what level of cognitive demand is required by the textbook tasks and activities. The initial structure for the research was derived from Valverde et al. (2002)'s methodology after which frameworks for the content analysis were developed for the distinction between everyday and scientific concepts, the identification of misconceptions and the classification of levels of cognitive demand. The results not only showed a low prevalence of scientific concepts, but also high incidences of misconceptions put forward in the textbooks. There were few textbook tasks and activities that required problem-solving, thereby limiting the learner to lower order thinking.

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Cuffel, Terry. "LINKING PLACE VALUE CONCEPTS WITH COMPUTATIONAL PRACTICES IN THIRD GRADE." Master's thesis, University of Central Florida, 2009. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/3374.

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In an attempt to examine student understanding of place value with third graders, I conducted action research with a small group of girls to determine if my use of instructional strategies would encourage the development of conceptual understanding of place value. Strategies that have been found to encourage conceptual development of place value, such as use of the candy factory, were incorporated into my instruction. Instructional strategies were adjusted as the study progressed to meet the needs of the students and the development of their understanding of place value. Student explanations of their use of strategies contributed to my interpretation of their understanding. Additionally, I examined the strategies that the students chose to use when adding or subtracting multidigit numbers. Student understanding was demonstrated through group discussion and written and oral explanations. My observations, anecdotal records and audio recordings allowed me to further analyze student understanding. The results of my research seem to corroborate previous research studies that emphasize the difficulty that many students have in understanding place value at the conceptual level.
M.Ed.
Department of Teaching and Learning Principles
Education
K-8 Math and Science MEd

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McDonough, Andrea M., and res cand@acu edu au. "Naïve and Yet Knowing: Young learners portray beliefs about mathematics and learning." Australian Catholic University. School of Education, 2002. http://dlibrary.acu.edu.au/digitaltheses/public/adt-acuvp21.16082005.

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This is a report of an investigation of children’s beliefs about the nature of mathematics, the nature of learning and helping factors for learning mathematics. The study aimed to investigate whether beliefs held by eight learners of eight to nine years of age could be articulated and portrayed. It aimed also to develop procedures to facilitate this process, to portray children’s beliefs from their responses to the research procedures, to provide insights into possible complexities and subtleties of young learners’ beliefs, to reflect upon the significance for the mathematics classroom of the insights gained, and to reflect upon the value of the procedures developed for the study. The research took the form of individual case studies of four girls and four boys of eight to nine years of age from two schools in suburban Melbourne. Four children were teacher-perceived low achievers in mathematics and four were teacher-perceived high achievers in mathematics. The children were each interviewed on ten occasions over a five-month period using thirty semi-structured, creative interviewing procedures that were developed or adapted for the study that included drawing, writing, discussing scenarios presented through photographs, video snippets and other children’s drawings, ordering of descriptors, and responding to questionnaires presented verbally. The interview data consisted of transcripts and artefacts. Some class administered tasks, lesson observations and interviews with the mathematics teachers provided background information. Analysis of interview responses was undertaken through a criss-cross examination in which themes were drawn from each child’s data. Responses were not judged for correctness or for a match to any predetermined categories and the researcher sought to take a stance of neutrality to the phenomena under study. The research suggests that teachers and others involved in the education of young learners of mathematics should know that: it is possible to gain insights into children’s beliefs about maths (the term used most commonly by the children), learning, and helping factors for learning maths; to gain insights into young children’s beliefs, it is important to have dialogue with the children to avoid making assumptions about their interpretations or meanings; the creative interviewing procedures developed for the present research are helpful as they can stimulate reflection and prompt conversation; young children’s beliefs can be complex, subtle, broad and deep; young children’s beliefs are individually constructed and differ from child to child; children may not see mathematics concepts in the same ways as their teachers and other adults; beliefs are sufficiently diverse and significant to affect the way children see the mathematics learning situation; although the beliefs of children of eight to nine years of age may, on the surface, appear simplistic and naïve, they are not necessarily so. Young learners are able to reflect on their own and others’ experiences and often construct complex beliefs. There is a lot happening in the minds of these children. The research suggests also that it is important that educators do not to make assumptions about: what children see as maths (or mathematics); what children see as learning; and what children see as helping factors for learning maths. A key factor facilitating children’s reflection and expression was the range of visual, verbal, and text-based creative interviewing strategies developed for the present study. The individual procedures provided suitable prompts to allow young children to articulate or represent their beliefs. The semi-structured procedures, through which ideas were explored on multiple occasions, followed by theme-based, criss-cross analysis of interview transcripts and artefacts, resulted in rich and trustworthy portrayals of beliefs, increasing the validity of the findings. The research provides the education community with insights into young children’s beliefs that are unlikely to emerge within the day to day activity of the classroom and, through the availability of the research procedures, facilitates further gaining of insights into beliefs either by classroom teachers or other researchers.

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Manning, Cheryl. "THE EFFECT OF THE MATH CONCEPTS AND SKILLS (MCS) COMPUTER PROGRAM ON S." Doctoral diss., University of Central Florida, 2004. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/3674.

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This study measures the effectiveness of the National Computer Systems (NCS) Learn SuccessMaker Math Concepts and Skills computer program on standardized test scores at a middle school in east central Florida. The NCS Learn Company makes three claims for the SuccessMaker interactive computer program, Math Concepts and Skills (MCS): 1. Student Florida Comprehensive Assessment Test (FCAT) scores will improve from using the software 30 hours or more; 2. The increase in FCAT scores is directly related to the length of time the students' spend using the program; 3. The software package grading system is equivalent to the FCAT scoring. This study was designed to evaluate each claim. To test the first claim, the FCAT Norm Referenced Test (NRT) Mathematics scale scores of the 6th-grade middle school students were compared to the same students' previous FCAT scores. The scores were compared before and after they used the Math Concepts and Skills program. An independent t test was used to compare the scores. There was a statistically significant difference in scale scores when the students used the MCS program for 30 hours or more. Further investigation is needed to establish the causal effect for the observed differences. To test the second claim, the 6th- and 8th-grade students' time on task in the laboratory was compared to their change in FCAT scores. A Pearson correlation coefficient of 0.58 was found to exist for the complete 6th-grade data set and a 0.71 correlation for the 8th-grade group. To test the third claim, the MCS computer program grade equivalent scores were compared to the mathematics FCAT Level using the dependent t test to see if the two scores were equal. The analysis revealed that the difference in the two scores was statistically significant. Therefore the claim that the two scores are equivalent was not true for this data set. Recommendations were made for future studies to include qualitative data, a control group, and larger sample sizes. Studying the effect of the Math Concepts and Skills program on FCAT scores continues to be a project for investigation as implementation of the computer software is contingent on improving FCAT scores.
Ed.D.
Department of Educational Research, Technology and Leadership
Education
Curriculum and Instruction

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Bogacz, Margaret M. Sennott Linn I. "An intuitive approach to understanding calculus concepts in business applications using probability theory." Normal, Ill. Illinois State University, 1985. http://wwwlib.umi.com/cr/ilstu/fullcit?p8514766.

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Thesis (D.A.)--Illinois State University, 1985.
Title from title page screen, viewed June 6, 2005. Dissertation Committee: Linn Sennott (chair), Kenneth Berk, John Dossey, Lawrence Spence, Charles Streeter. Includes bibliographical references (leaves 273-274) and abstract. Also available in print.

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Harries, Anthony Vaughan. "Developing algebra concepts with low attainers working in a Logo environment." Thesis, University of Bristol, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.389163.

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Hannigan, Mary Kathleen Arthur. "Exploration of an instructional strategy to promote explicit understanding of place value concepts in prospective elementary teachers /." Digital version accessible at:, 1998. http://wwwlib.umi.com/cr/utexas/main.

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Galvez, Valla Elizabeth. "THE EFFECTS ON PRESCHOOL CHILDREN'S DEVELOPMENT OF NUMBER CONCEPTS: MICROCOMPUTER VS. CONVENTIONAL TECHNIQUES (COMPUTERS)." Thesis, The University of Arizona, 1985. http://hdl.handle.net/10150/291713.

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Zagrodny, Christopher Michael. "Algebraic Concepts in the Study of Graphs and Simplicial Complexes." Digital Archive @ GSU, 2006. http://digitalarchive.gsu.edu/math_theses/7.

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This paper presents a survey of concepts in commutative algebra that have applications to topology and graph theory. The primary algebraic focus will be on Stanley-Reisner rings, classes of polynomial rings that can describe simplicial complexes. Stanley-Reisner rings are defined via square-free monomial ideals. The paper will present many aspects of the theory of these ideals and discuss how they relate to important constructions in commutative algebra, such as finite generation of ideals, graded rings and modules, localization and associated primes, primary decomposition of ideals and Hilbert series. In particular, the primary decomposition and Hilbert series for certain types of monomial ideals will be analyzed through explicit examples of simplicial complexes and graphs.

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Chang, Sy-Ning. "Development of Place-Value Numeration Concepts in Chinese Children: Ages 3 through 9." Thesis, University of North Texas, 1995. https://digital.library.unt.edu/ark:/67531/metadc279231/.

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This investigation examined Chinese children's development of place-value numeration concepts from ages 3 through 9, compared the development of place-value understanding of these Chinese children with that of American and Genevan children whose performances had been described in the literature, and examined the influence of adult assistance during Chinese children's performances on some of the place-value tasks.

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Sakonidis, Haralambos N. "Algebraic concepts and their expression in language : a study of pupils between 13 and 16 years." Thesis, King's College London (University of London), 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.307804.

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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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Wheeler, Jessica. "Instructing Group Theory Concepts from Pre-Kindergarten to College through Movement Activities." The Ohio State University, 2016. http://rave.ohiolink.edu/etdc/view?acc_num=osu1461184131.

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Mntunjani, Lindiwe. "The use of mathematical resources to teach number concepts in the foundation phase." Thesis, Cape Peninsula University of Technology, 2016. http://hdl.handle.net/20.500.11838/2494.

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Thesis (MEd (Education))--Cape Peninsula University of Technology, 2016.
The poor performance of learners in mathematics has long been a matter of concern in South Africa. One certain fact from the Annual National Assessment (ANA) results is that the problem starts in the Foundation Phase (FP) with number concepts. The aim of this study was to explore how five Foundation Phase teachers located in challenging socio-economic school contexts in the Western Cape used mathematical resources to promote teaching for understanding of the important number concept area in CAPS. These resources included humans, materials, culture and time. The research was located within the interpretive qualitative research paradigm and used a case study approach. The participants in the study included five FP teachers teaching Grades 1 to 3 at two schools in the Western Cape. Data was collected through lesson plan analysis, lesson observations and semi-structured interviews. The data collected was then analysed through the lens of Vygotsky’s socio-cultural theory. Socio-cultural theory maintains that knowledge is best acquired if it is mediated by language, more knowledgeable others and physical tools. Vygotsky believed that knowledge is first acquired interpersonally, then intrapersonally, as learners first learn from others, then internalise or individualise knowledge while going through the four stages of the Zone of Proximal Development (ZPD). The findings of this study revealed that teaching for understanding was often compromised by teaching to enable learners to pass assessments. Teachers understood the importance of using resources to teach number concepts in the Foundation Phase, but inclined to rote teaching with work drills in preparation for assessments such as the Annual National Assessment (ANA) and the systemic assessment. Resources were often used when learners struggled to understand concepts and as calculation tools. This study supports the view from the literature that the way in which resources are used affects the teaching and learning of number concepts. It recommends that teachers should read and follow the CAPS mathematics document, as it clearly states what resources to use and how. This study further recommends that more research on the use of resources to teach mathematics in other content areas should be done.

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Seroto, Ngwako. "Exploration of geometrical concepts involved in the traditional circular buildings and their relationship to classroom learning." Thesis, University of Limpopo (Turfloop Campus), 2006. http://hdl.handle.net/10386/1035.

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Thesis (M.Ed. (Mathematics)) --University of Limpopo, 2013
Traditionally, mathematics has been perceived as objective, abstract, absolute and universal subject that is devoid of social and cultural influences. However, the new perspective has led to the perceptions that mathematics is a human endeavour, and therefore it is culture-bound and context-bound. Mathematics is viewed as a human activity and therefore fallible. This research was set out to explore geometrical concepts involved in the traditional circular buildings in Mopani district of Limpopo Province and relate them to the classroom learning in grade 11 classes. The study was conducted in a very remote place and a sample of two traditional circular houses from Xitsonga and Sepedi cultures was chosen for comparison purposes because of their cultural diversity. The questions that guided my exploration were: • Which geometrical concepts are involved in the design of the traditional circular buildings and mural decorations in Mopani district of the Limpopo Province? • How do the geometrical concepts in the traditional circular buildings relate to the learning of circle geometry in grade 11 class? The data were gathered through my observations and the learners’ observations, my interviews with the builders and with the learners, and the grade 11 learners’ interaction with their parents or builders about the construction and decorations of the traditional circular houses. I used narrative configurations to analyse the collected data. Inductive analysis, discovery and interim analysis in the field were employed during data analysis. From my own analysis and interpretations, I found that there are many geometrical concepts such as circle, diameter, semi-circle, radius, centre of the circle etc. that are involved in the design of the traditional circular buildings. In the construction of these houses, these concepts are involved from the foundation of the building to the roof level. All these geometrical concepts can be used by both educators and learners to enhance the teaching and learning of circle geometry. Further evidence emerged that teaching with meaning and by relating abstract world to the real world makes mathematics more relevant and more useful.

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Jolicoeur, Kay. "The influence of virtual manipulatives on second grader's acquisition of place value concepts." Master's thesis, University of Central Florida, 2011. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/4945.

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The purpose of this study was to examine my own practice of teaching place value and the influence virtual manipulatives had, in addition to physical manipulatives, on place value understanding of my second grade students. I wanted to see how adding a base-ten computer applet might better meet the needs of all learners while also meeting the needs of today's technological classroom. Through this study, I found that both physical and virtual manipulatives helped students acquire place value concepts. I found that virtual manipulatives had features that engaged students in a way that increased their mathematical language, increased students' ability to represent more conceptual understanding of composing and decomposing numbers, and express enthusiasm towards mathematics. A pretest and posttest revealed that students' academic performance increased. While research on virtual manipulatives and mathematical achievement is fairly recent, this study offers insight to other classroom teachers and the research community.
ID: 029810048; System requirements: World Wide Web browser and PDF reader.; Mode of access: World Wide Web.; Thesis (M.Ed.)--University of Central Florida, 2011.; Includes bibliographical references (p. 82-85).
M.Ed.
Masters
Teaching and Learning Principles
Education
K-8 Math and Science

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Lange, Alissa A. "Order! Compare! Estimate! Building Knowledge and Excitement About Foundational Math Concepts for Preschoolers." Digital Commons @ East Tennessee State University, 2018. https://dc.etsu.edu/etsu-works/4180.

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What do we do before we eat snack? Which tower has more blocks? Will all of these toy cars fit in my bucket? Children ask questions like this all day long, and they have incredible capacity to answer them when equipped with the right tools. We will discuss how to support all children - including children with special needs - to mathematize their worlds. We will focus on three math topics that are less commonly found in preschool: ordering, comparing, and estimating. Through group discussions, video analysis, and hands-on activities, we will explore: 1) how these skills connect to other domains (e.g., retelling storybook events in order) 2) how they develop in children (e.g., what do children need to know to compare numerals?) 3) effective strategies to bring them to life (e.g., including a referent jar when estimating) Participants will leave with example activities to try in the classroom and inspiration to support children as they talk about, play with, and get excited to use math to understand the world around them.

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Hoke, Darlene. "EFFECTS ON STUDENT PERFORMANCE OF USING HANDS-ON ACTIVITIES TO TEACH SEVENTH GRADE STUDENTS' MEASUREMENT CONCEPTS." Master's thesis, University of Central Florida, 2008. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/2130.

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Student performance on measurement concepts in mathematics was the basis for this action research study. This study summarizes research conducted in a seventh grade classroom at an urban middle school during fall of 2005. The study investigated the practice of using hands-on activities in addition to the standard mathematics curriculum to improve student performance in measurement tasks. Students were asked to respond to questions posed by both teacher and other students in the classroom. Data were collected using measurement survey, focus group discussions, math journals, and teacher observations. Results of this study showed that student performance on measurement tasks increased throughout the course of the study. Student gains were recorded and analyzed throughout the eight-week study period. Twenty-one out of 26 students that participated in the study showed performance growth in measurement concepts.
M.Ed.
Department of Teaching and Learning Principles
Education
K-8 Math and Science MEd

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Peard, Robert, and mikewood@deakin edu au. "The Effect of social background on the development of probabilistic concepts." Deakin University, 1994. http://tux.lib.deakin.edu.au./adt-VDU/public/adt-VDU20050915.154933.

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This research explores how the social backgrounds of a group of students contributed to their intuitive knowledge in probabilistic reasoning, and influenced their processing of the associated mathematics. A group of Year 11 students who came from families for whom the phenomenon of track gambling formed an important part of their cultural background was identified. Another group consisting of students in the same mathematics course (Year 11 Maths in Society) but from families for whom the phenomenon of gambling in any form was totally absent from their social backgrounds was identified. Twenty students were selected from each group. The research employed a qualitative methodology in which a phenomenographic approach was used to investigate the qualitatively different ways in which individuals within the two groups thought about concepts involving probabilistic reasoning, and processed the related mathematical skills and concepts. The cognitive processes involved in the applications of probabilistic and related mathematical concepts in a variety of both gambling and non-gambling situations were studied in order to determine whether this culturally based knowledge could be viewed as a type of ethnomathematics. Data were obtained through individual structured interviews which enabled patterns of reasoning to be compared and contrasted. Analyses of these data enabled intuitive mathematical understandings possessed by the gamblers not only to be identified, but also to be linked with their social backgrounds. Also differences between how individuals in the two groups processed probabilistic and associated mathematical knowledge were determined. This research complements and extends existing knowledge and theories related to culturally-based mathematical knowledge. Implications for further research, for classroom teaching, and for curriculum development in the study of probability in senior secondary mathematics classes are discussed.

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Ekelund, Erika, and Mathilda Segerdahl. "Den matematiska leken i matematikläromedel : en innehållsanalys av matematikläromedel i förskoleklass." Thesis, Karlstads universitet, Fakulteten för hälsa, natur- och teknikvetenskap (from 2013), 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-84746.

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Denna uppsats belyser några av förskoleklassens läromedel i matematikämnet. Vi har undersökt specifikt i vilken utsträckning leken tar plats i läromedel, samt vilket stöd läraren får att genomföra lek som kan bidra till elevernas begrepps och/eller resonemangsförmåga. Förskoleklassen har nyligen blivit obligatorisk och ska fungera som en bro mellan förskolan och skolan. Den förväntas ta över förskolans lekpedagogik samtidigt som den ska introducera skolans rutiner och undervisningsmetoder. Vi har använt innehållsanalys som metod för att undersöka läromedel både kvantitativt och kvalitativt. Studiens resultat visar att lek som bidrar till elevernas begrepps- och/eller resonemangsförmåga finns i lärarhandledningar. Det finns även olika typer av stöd för läraren att genomföra lekbaserad undervisning som bidrar till elevernas begrepps- och/eller resonemangsförmåga. Det kan bidra till att eleverna utvecklar och befäster sina kunskaper om matematiska begrepp och/eller resonemang via leken. Studien visar också att lek i läromedlets elevböcker i stort sett saknas. Vilket kan innebära att eleverna går miste om lek i matematikundervisningen om läraren väljer att endast använda elevboken.
This master thesis focuses on mathematics textbooks for preschool class. We have studied to what extent play is found in the textbooks and what kind of the support for implementation is offered to the teacher. We have focused on play which can contribute to the pupils’ concept and/or reasoning ability. Preschool class is now a compulsory school form. Preschool class is a class between preschool and primary school and is expected to function as a bridge between these two. There are many expectations for preschool class: implementing preschool pedagogy while introducing the primary school’s routines and teaching methods. We have used content analysis as a method in this study. The method has been used in both a quantitative and a qualitative way. The results show that teacher guides offer play contributing to conceptual and/or reasoning. The results also show that the teacher gets support for implementing such play in the classroom. This offers opportunities for pupils to consolidate and develop their knowledge of mathematical concepts as well as their reasoning. Further, the study shows that play in the pupils’ textbook largely is lacking. If the teacher chooses to only use the pupil’s textbooks, the consequence can be that the pupils are missing out on play in mathematical education.

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De, Anda Maria Elizabeth. "Assessing students' understanding of science concepts through portfolio assessment." CSUSB ScholarWorks, 1996. https://scholarworks.lib.csusb.edu/etd-project/1197.

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Mattos, Robson Aldrin Lima. "Jogo e matemática: uma relação possível." reponame:Repositório Institucional da UFBA, 2009. http://www.repositorio.ufba.br/ri/handle/ri/11919.

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Este trabalho objetivou investigar, no cotidiano escolar de crianças de turmas do Ensino Fundamental I em uma escola da rede pública no município de Vitória da Conquista (BA), a relação dos Jogos com a construção dos conceitos Matemáticos. Este estudo de caráter qualitativo tem como respaldo teórico diversos autores, cujas produções trazem contribuições quanto aos Jogos e ao ensino da Matemática: Boyer (1974), Brenelli (1996), Brougère (2000), Chateau (1987), D‘Ambrósio (1998),Huizinga (2007), Kishimoto (2007), Kamii (2003a), Machado (1991a), Piaget (1975),Santos (2000), Vygotsky (1984), entre outros. Do ponto de vista metodológico, privilegiou-se a observação in loco, com registro fotográfico, entrevistas com as educadoras das turmas selecionadas para a pesquisa e um grupo focal, analisando como se estabelece a relação dos Jogos com o Ensino da Matemática. Destaca-se neste estudo a relação existente entre os Jogos e sua função pedagógica de aprendizagem no ensino da Matemática no contexto escolar, apresentando reflexões conceituais em torno desta relação. O estudo proporciona a compreensão da Matemática vivenciada em sala de aula, bem como possibilita a reflexão dessas educadoras sobre suas práticas pedagógicas. A análise dos achados da pesquisa possibilitou a identificação da importância pedagógica dos Jogos no Ensino da Matemática e sua contribuição na construção de conceitos nessa área, permitindo, também, a reflexão sobre a forma como os Jogos são trabalhados em sala de aula, onde, muitas vezes, são aplicados como jogos de exercícios e não como Jogos de construção.
Salvador

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Kimber, Charles Tenison. "The effect of training in self-regulated learning on math anxiety and achievement among preservice elementary teachers in a freshman course in mathematics concepts." Diss., Temple University Libraries, 2009. http://cdm16002.contentdm.oclc.org/cdm/ref/collection/p245801coll10/id/27315.

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CITE/Mathematics and Science Education
Ed.D.
The purpose of this study was to examine the effect of training in self-regulated learning strategies on math anxiety and mathematics achievement among preservice teachers. The self-regulated learning strategies examined included personal time management, how to read your mathematics textbook for understanding, organizational skills, mathematics test taking and preparation, and the use of estimation in solving mathematics problems. Preservice elementary teachers with these improved learning skills may in turn become more successful teachers of mathematics. The effect of training in self-regulated learning as a treatment for math anxiety is not well established. However, self-regulated learning has been associated with improved mathematics and science problem solving (De Corte, Verschaffel, & Op't Eynde, 2000; Taylor & Corrigan, 2005; Zan, 2000). Increased use of self-regulated learning strategies has also been associated with a reduction in test anxiety (Hofer & Yu, 2003; Pintrich, 2000; Zeidner, 1998). Therefore, training in self-regulated learning strategies has the potential to reduce math anxiety among preservice elementary teachers. Elementary education majors in a course in mathematics concepts were given training in self-regulated learning strategies. A control group of similar students received the same classroom instruction by the same college professor. The professor did not participate in the training sessions that were led by this researcher. Both treatment and control groups were given pretests and posttests: the Abbreviated Mathematics Anxiety Scale - to measure math anxiety, the Motivated Strategies for Learning Questionnaire - to measure use of self-regulated learning strategies, and a Mathematics Achievement Test - to measure changes in content knowledge. The analyses used t-tests and correlations to compare the participants' pretest and posttest scores on the three scales. The use of self-regulated learning strategies was not shown to reduce math anxiety or improve achievement among the elementary education majors in this study. This result may have been due to various limitations, such as insufficient time for applying and following up on the training and an inability to fully embed the training into the course content. Future research should investigate if, given the proper conditions, self-regulated learning strategies will reduce math anxiety and improve the learning of mathematics concepts, leading to more effective mathematics teaching in the elementary classrooms.
Temple University--Theses

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Dabula, Nomonde Patience. "Project 1 - Student teachers' exploration of beadwork : cultural heritage as a resource for mathematical concepts." Thesis, Rhodes University, 2001. http://hdl.handle.net/10962/d1003292.

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This portfolio consists of three research projects that predominantly lie within the socio-cultural strand. The first project is a qualitative ethnomathematical study that links students' knowledge of mathematics to their cultural heritage. The study was conducted with a group of final year student teachers at a College of Education in Umtata, Eastern Cape. These students visited a city museum where mathematics concepts were identified from beadwork artifacts. Mathematics concepts that were identified consisted of symmetry, tessellation and number patterns. Students' views about the nature of mathematics shifted radically after their own explorations. Initially students did not perceive mathematics as relating to socio-cultural practices. But now, they have reviewed their position and see mathematics as inextricably interwoven in everyday activities and as such, a product of all cultures. They also pride themselves of their own cultural heritage to have mathematical connections. A more positive attitude towards studying mathematics in this approach was noticed. Data was collected by means of interviews, reflective journal entries and photographs. The second project is a survey with a group of practising teachers who have already implemented Curriculum 2005, and a group which is about to implement it in 2001. The study sought teachers' understanding of connections between mathematics and socio-cultural issues. The new mathematics curriculum in South Africa calls for teachers to grapple well with these issues. About a third of the articulated specific outcomes specifically relate to socio-cultural issues. If teachers' understanding of these issues is poor, implementation of the new curriculum will remain a mere dream. The findings of the survey revealed that the majority of teachers could not identify the culture related specific outcomes in the new mathematics curriculum. Complicated language used in the OBE policy documents was found to inhibit meaning to these teachers. Although, all teachers showed a positive attitude towards the inclusion of socio-cultural issues in the mathematics classroom, the implementation of these outcomes was found to be very problematic. In this survey data was collected by means of questionnaires. The third project is a literature review on the need to popularise mathematics to students in particular, and to the broader public in general. The 21 st century places great technological demands. Mathematics underpins most thinking behind technological development. The role played by mathematics in advancing other fields is largely hidden to the majority of people. There is, therefore, a need to bring forth the vital role that mathematics plays in these fields. The number of students participating in mathematics is decreasing. Mathematics, as a field, is experiencing competition from other science fields. There is a need to bring some incentives to attract more students into this field and retain those mathematicians already involved. Also important, is the need to change the negative image that the public often holds about mathematics. Many people are mathematically illiterate and do not see mathematics as an everyday activity that relates to their needs. There is, therefore, a need to change the face of mathematics.

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Beug, Anne. "Teaching Introductory Programming Concepts: A Comparison of Scratch and Arduino." DigitalCommons@CalPoly, 2012. https://digitalcommons.calpoly.edu/theses/778.

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Computing has become an integral part of modern America. The Bureau of Labor Statistics estimates that between 2008 and 2018, the United States will have 1.4 million job openings in computing fields [1]. Since the early 2000's (just after the "dot com bust"), the number of students enrolled in computing majors (Computer Science, Computer Engineering, etc.) dropped precipitously by over 50%, only starting to rise again in 2009 [2]. One way to rectify to this gap between demand and supply is to start training students in computational thinking during high school. While the Computer Science Advanced Placement AB test has been retired, a new AP test called "CS Principles" has been added to the suite of tests [3], highlighting the importance of computing to a modern education. Not only will we need more computing professionals, people in other professions will need to have computing skills. We propose in this thesis a comparison of two computing platforms. Scratch is a well-proven platform that teaches core programming concepts through a graphical programming interface. Arduino boards are open-source microcontrollers with an accompanying development environment and C-like language. We develop a parallel curriculum in Scratch and Arduino and compare the two. While we are unable to draw conclusive results from our quantitative study, from our qualitative research we see that Arduino is unsuitable for teaching core programming concepts to computing novices.

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Jakobsson, Monica. "Lågstadieelevers förståelse av språket i matematikundervisningen : En studie av lågstadieelevers svårigheter med språket i matematiken." Thesis, Karlstads universitet, Fakulteten för humaniora och samhällsvetenskap (from 2013), 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-70997.

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Många elever når inte godkänd nivå i matematik. En del av förklaringen till det är att elever har svårt att förstå språket i matematikundervisning och matematikläromedel. Syftet med min studie är att belysa svårigheter som elever i de tidiga skolåren har med språket i matematiken. Syftet är också att få syn på vilka orsakerna till dessa svårigheter är. För att få svar på forskningsfrågorna har en kvantitativ undersökning gjorts om elevers förståelse av olika begrepp i matematikläromedlen. En kvalitativ observation med inslag av intervjufrågor har också gjorts. Studien visade på att många elever har svårigheter med att förstå språket som används i läromedlen. En del av svårigheterna kom sig av brister i begreppsuppfattningen, en del berodde på bristande läsförmåga och språkförståelse, ytterligare anledningar till svårigheterna visade sig vara svårigheter att förstå metaforer och bilder samt även svårigheter med att hålla mycket information från matematikuppgifter i arbetsminnet.
Many students do not reach an approved level in mathematics. Part of the explanation for this is that students find it difficult to understand the language of mathematics teaching and mathematics teaching material. The purpose of my study is to highlight the difficulties that pupils in primary school have with the language of mathematics. The purpose is also to get an idea of the causes of these difficulties. In order to get answers to the research questions, a quantitative study has been made on students' understanding of different concepts in the mathematics teaching materials. A qualitative observation with elements of interview questions has also been made. The study showed that many students have difficulties understanding the language used in the teaching aids. Some of the difficulties came from shortcomings in the conceptual concept, some were due to a lack of reading ability and reading comprehension, additional reasons for the difficulties turned out to be difficulties in understanding metaphors and images as well as difficulties in keeping much information from mathematical tasks in the work memory.

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Roy, George J. "Prospective teachers' development of whole number concepts and operations during a classroom teaching experiment." Orlando, Fla. : University of Central Florida, 2008. http://purl.fcla.edu/fcla/etd/CFE0002398.

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Borg, Jonna. "Matematik i Lilla nollan och dom andra." Thesis, Linnéuniversitetet, Institutionen för datavetenskap, fysik och matematik, DFM, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-17841.

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Syftet med denna studie är att undesöka vilket matematiskt innehåll förskollärare synliggör vid användning av bilderboken Lilla nollan och dom andra. För att besvara studiens frågeställningar har både observationer och kvalitativa intervjuer använts. Två förskollärare från en förskola valdes ut. Barnen som deltog vid observationerna var 4-5 år gamla. Resultatet visar att förskollärarna synliggör ett brett matematiskt innehåll i den ovannämnda bilderboken. De fokuserar på siffror, räkneramsan, räknar antal och jämför form och storlek. Samtal om siffran 0 och dess betydelse förs med barnen. De reflekterar och resonerar tillsammans med barnen över olika matematiska företeelser som de möter i bilderboken med stöd av dess bilder. Förskollärarna ger också flera exempel på hur barnen har utvecklat matematiska begrepp. De tar även tillvara på den mångfald och den variation av matematik som bilderboken erbjuder.
The purpose of this study is to investigate which mathematical contents preeschool teachers visible when using the picture book Little O and all the others. In order to answer the study questions, both observations and qualitative interviews have been used. Two preeschool teachers from one preeschool were selected. The children who participated in the observations were 4-5 years old. The results show that preeschool teachers reveal a broad mathematical content in the above mentioned picture book. They focus on numbers, countingchants, counting numbers and compare the shape and size. Conversations about the number 0 and the importance of it takes place. They reflect and resonate with the children of different mathematical phenomena they encounter in the picture book by virtue of its images. Preeschool teachers also give several examples of how the children have developed mathematical concepts. They also utilize both the diversity and the variety of mathematics that the picture book offers.

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Harries, Tony, and Patrick Barmby. "The importance of using representations to help primary pupils give meaning to numerical concepts." Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-82542.

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Dissertations / Theses on the topic 'Mathematics concepts'

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