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Rozprawy doktorskie na temat „Mathematics”

Autor: Grafiati

Data publikacji: 4 czerwca 2021

Data aktualizacji: 25 lipca 2025

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1

Magal, Oran. "What is mathematical about mathematics?" Thesis, McGill University, 2013. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=119516.

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During a crucial period in the formation of modern-day pure mathematics, Georg Cantor wrote that "the essence of mathematics lies precisely in its freedom". Similarly, David Hilbert, in his landmark work on the axiomatization of geometry, took the view that we are free to interpret the axioms of a mathematical theory as being about whatever can be made to satisfy them, independently of pre-axiomatic ideas, seemingly intuitive truths, or typical empirical scientific applications of that theory. Cantor's and Hilbert's emphasis on the independence of pure mathematics from philosophical preconcept

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Gates, Miriam Rebecca Galpin. "Mathematics Teacher Educators’ Visions for Mathematical Inquiry in Equitable Mathematics Spaces:." Thesis, Boston College, 2020. http://hdl.handle.net/2345/bc-ir:108775.

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Thesis advisor: Lillie R. Albert<br>In mathematics education, there is an imperative for more just and equitable experiences in mathematics spaces, as well as ongoing efforts to move classroom instruction toward mathematical inquiry. While Mathematics Teacher Educators (MTEs) are expected to support multiple initiatives in mathematics education, they are particularly responsible for the professional learning of teachers and teacher candidates. MTEs must therefore prepare and support the professional learning of teachers to achieve twin goals. This study was designed to understand how MTEs envi

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Gordon, Calvert Lynn Melanie. "Mathematical conversations within the practice of mathematics." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape7/PQDD_0027/NQ39532.pdf.

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Newing, A. "Mathematical recreations as a source of new mathematics." Thesis, University of Bristol, 1985. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.355096.

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Wilensky, Uriel Joseph. "Connected mathematics : builiding concrete relationships with mathematical knowledge." Thesis, Massachusetts Institute of Technology, 1993. http://hdl.handle.net/1721.1/29066.

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Ferdinand, Victor Allen. "An elementary mathematics methods course and preservice teachers' beliefs about mathematics and mathematical pedagogy: A case study /." The Ohio State University, 1999. http://rave.ohiolink.edu/etdc/view?acc_num=osu1488191124570001.

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Bergman, Ärlebäck Jonas. "Mathematical modelling in upper secondary mathematics education in Sweden." Doctoral thesis, Linköpings universitet, Tillämpad matematik, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-54318.

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The aim of this thesis is to investigate and enhance our understanding of the notions of mathematical models and modelling at the Swedish upper secondary school level. Focus is on how mathematical models and modelling are viewed by the different actors in the school system, and what characterises the collaborative process of a didactician and a group of teachers engaged in designing and developing, implementing and evaluating teaching modules (so called modelling modules) exposing students to mathematical modelling in line with the present mathematics curriculum. The thesis consists of five pa

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8

Holdaway, Emma Lynn. "Mathematical Identities of Students with Mathematics Learning Dis/abilities." BYU ScholarsArchive, 2020. https://scholarsarchive.byu.edu/etd/8536.

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The majority of research on the mathematics teaching and learning of students with mathematics learning dis/abilities is not performed in the field of mathematics education, but in the field of special education. Due to this theoretical divide, students with mathematics learning dis/abilities are far more likely to be in classes that emphasize memorization, direct instruction, and the explicit teaching of rules and procedures. Additionally, students with mathematics learning dis/abilities are often seen as "unable" to succeed in school mathematics and are characterized by their academic diffic

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9

Shabel, Lisa A. "Mathematics in Kant's critical philosophy : reflections on mathematical practice /." New York : Routledge, 2003. http://catalogue.bnf.fr/ark:/12148/cb38959242q.

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Piatek-Jimenez, Katrina L. "Undergraduate mathematics students' understanding of mathematical statements and proofs." Diss., The University of Arizona, 2004. http://hdl.handle.net/10150/280643.

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This dissertation takes a qualitative look at the understanding of mathematical statements and proofs held by college students enrolled in a transitional course, a course designed to teach students how to write proofs in mathematics. I address the following three research questions: (1) What are students' understandings of the structure of mathematical statements? (2) What are students' understandings of the structure of mathematical proofs? (3) What concerns with the nature of proof do students express when writing proofs? Three individual interviews were held with each of the six participant

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11

Rodd, Mary Melissa. "Mathematical warrants, objects and actions in higher school mathematics." Thesis, Open University, 1998. http://oro.open.ac.uk/54372/.

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'Higher school mathematics' connotes typical upper secondary school and early college mathematics. The mathematics at this level is characterised by moves to (1) rigour in justification,(2) abstraction in content and (3) fluency in symbolic manipulation. This thesis investigates these three transitions - towards rigour, abstraction, and tluencyusing philosophical method: for each of the three transitions a proposition is presented and arguments are given in favour of that proposition. These arguments employ concepts and results from contemporary English language-medium philosophy and also rely

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Friesen, Sharon Linda. "Reforming mathematics in mathematics education." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape3/PQDD_0021/NQ54778.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’Educac

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14

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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15

Verwey, Johanna Cornelia (Hanlie). "Investigating the interaction of mathematics teachers with learners' mathematical errors." Diss., University of Pretoria, 2010. http://hdl.handle.net/2263/24743.

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This study investigated the interaction of mathematics teachers with learners’ mathematical errors. The teachers’ verbal interaction with learners’ errors during learning periods and their written interaction in assessment tasks were explored. The study was contextualized in grade 9 secondary school classrooms in the Gauteng province of South Africa. The investigation was epistemologically underpinned by constructivism/socio-constructivism. The investigation was qualitatively approached through four case studies. Structured and semi-structured interviews, classroom observations and learners’ w

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Hulet, Ashley Burgess. "Student Evaluation of Mathematical Explanations in anInquiry-Based Mathematics Classroom." BYU ScholarsArchive, 2015. https://scholarsarchive.byu.edu/etd/5715.

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Students do not always evaluate explanations based on the mathematics despite their teacher's effort to be the guide-on-the-side and delegate evaluation to the students. This case study examined how the use of three features of the Discourse—authority, sociomathematical norms, and classroom mathematical practices—impacted students' evaluation and contributed to students' failure to evaluate. By studying three pre-service elementary school students' evaluation methods, it was found that the students applied different types of each of the features of the Discourse and employed them at different

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17

Owens, Beverly Karen. "The Language of Mathematics: Mathematical Terminology Simplified for Classroom Use." Digital Commons @ East Tennessee State University, 2006. https://dc.etsu.edu/etd/2242.

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After recognizing the need for a simpler approach to the teaching of mathematical terminology, I concluded it would be valuable to make a unit of simplified terms and describe methods of teaching these terms. In this thesis I have compared the terminology found in the Virginia Standards of Learning objectives to the materials found at each grade level. The units developed are as follows: The Primary Persistence Unit- for grades K-2; The Elementary Expansion Unit- for grades 3-5; and The Middle School Mastery Unit- for grades 6-8.

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18

Lewis, Matthew. "Laboratory Experiences in Mathematical Biology for Post-Secondary Mathematics Students." DigitalCommons@USU, 2016. https://digitalcommons.usu.edu/etd/5219.

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In addition to the memorization, algorithmic skills and vocabulary which is the default focus in many mathematics classrooms, professional mathematicians are expected to creatively apply known techniques, construct new mathematical approaches and communicate with and about mathematics. We propose that students can learn these professional, higher level skills through Laboratory Experiences in Mathematical Biology (LEMBs) which put students in the role of mathematics researcher creating mathematics to describe and understand biological data. LEMBs are constructed so they require no specialized

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19

Patel, C. "Approaches to studying and the effects of mathematics support on mathematical performance." Thesis, Coventry University, 2011. http://curve.coventry.ac.uk/open/items/f079ef99-a237-4a3b-ae2d-344c89654741/1.

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The concern over undergraduate engineering students’ mathematical skills and the means of addressing this through the provision of mathematics support is the main driver of this research. With the emergence of mathematics support within mathematics education there has been an associated research community interested in measuring the effectiveness of mathematics support provision. Recent studies have measured improvements in mathematics performance for students who have used mathematics support against those who have not by comparing prior mathematical ability against examination results. This

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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 pre

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21

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. Th

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22

Novinger, Susan. "Talking mathematics : children's acquisition of mathematical discourse in a permeable curriculum /." free to MU campus, to others for purchase, 1999. http://wwwlib.umi.com/cr/mo/fullcit?p9953887.

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23

Khalo, Xolani. "Analysis of grade 10 mathematical literacy students’ errors in financial mathematics." Thesis, University of Fort Hare, 2014. http://hdl.handle.net/10353/1369.

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The main aim of the study was (1) to identify errors committed by learners in financial mathematics and (2) to understand why learners continue to make such errors so that mechanisms to avoid such errors could be devised. The following has been hypothesised; (1) errors committed by learners are not impact upon by language difficulties, (2) errors committed by learners in financial mathematics are not due to prerequisite skills, facts and concepts, (3) errors committed by learners in financial mathematics are not due to the application of irrelevant rules and strategies. Having used Polya’s pro

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24

Foley, Catherine. "Girls' perceptions of mathematics : an interpretive study of girls' mathematical identities." Thesis, University of Reading, 2016. http://centaur.reading.ac.uk/65926/.

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This thesis explores girls’ perceptions of mathematics and how they make sense of their mathematical identity. It seeks to understand the characterisations girls make of mathematics and mathematicians, shedding light upon their positioning as mathematicians. This is important because there remains a tendency for able females to rate themselves lower than males of a similar attainment, and be less likely to continue into post-compulsory study of mathematics. This research followed an interpretive paradigm, taking a grounded, case-based approach and using a mosaic of qualitative methods. Fourtee

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25

Jakobsson-Åhl, Teresia. "Encouraging Participation in Mathematical Practices : Messages in the Boost for Mathematics." Thesis, Luleå tekniska universitet, Institutionen för konst, kommunikation och lärande, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-67660.

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In this thesis, focused attention is given to the idea of task solvers as active participants in mathematical practices. The theoretical assumptions of the study, reported in this thesis, are inspired by socio-political concerns. The aim of the study is to investigate the underlying view of participation in mathematical practices, as understood in a nationwide teacher professional development programme, the Boost for Mathematics, in Sweden. To be more precise, the study is arranged to problematise ways of encouraging students as active participants. This aim is approached by means of the follo

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Kilgore, Pelagia Alesafis. "Adult College Students' Perceptions about Learning Mathematics via Developmental Mathematical xMOOCs." Scholar Commons, 2018. http://scholarcommons.usf.edu/etd/7179.

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Debates over the promising change Massive Open Online Courses (MOOCs) might offer to traditional online learning now produce significant attention and discourse among the media and higher education. Ample articles discuss the potential benefits of MOOCs from the perspectives of faculty and administration. However, little is known about students’ perceptions of MOOCs. Given the lack of relevant literature and the reality that MOOCs are created to benefit students, it is important to elicit current college students’ perceptions of MOOCs since it is well documented learning

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Dickerson, David S. "High school mathematics teachers' understandings of the purposes of mathematical proof." Related electronic resource: Current Research at SU : database of SU dissertations, recent titles available full text, 2008. http://wwwlib.umi.com/cr/syr/main.

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Hart, Hilary. "Mathematics Vocabulary and English Learners: A Study of Students' Mathematical Thinking." BYU ScholarsArchive, 2010. https://scholarsarchive.byu.edu/etd/2573.

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This study examined the mathematical thinking of English learners as they were taught mathematics vocabulary through research-based methods. Four English learners served as focus students. After administering a pre-performance assessment, I taught a 10-lesson unit on fractions. I taught mathematics vocabulary through the use of a mathematics word wall, think-pair-shares, graphic organizers, journal entries, and picture dictionaries. The four focus students were audio recorded to capture their spoken discourse. Student work was collected to capture written discourse. Over the course of the unit

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Prestwich, Paula Jeffery. "Mathematical Interactions between Teachers and Students in the Finnish Mathematics Classroom." BYU ScholarsArchive, 2015. https://scholarsarchive.byu.edu/etd/5785.

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The Finnish school system has figured prominently in the PISA international assessments for over 10 years. Many reasons are given for Finnish success yet few of them focus on what is happening in the mathematics classroom. This study addresses the question of “What does mathematics instruction in the Finnish mathematics classroom look like?” Eight Finnish mathematics classes, from 6th – 9th grade were recorded, translated, and analyzed using the Mathematical Quality of Instruction (MQI) 2013 video coding protocol. Other aspects and observations of these classes also are discussed. Althou

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Hwang, Jihyun. "Bridge the gap between cognitive attributes and mathematics achievement: which cognitive attributes for mathematical modeling contribute to better learning in mathematics?" Diss., University of Iowa, 2018. https://ir.uiowa.edu/etd/6145.

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Mathematical modeling is a thinking process that applies various sets of cognitive attributes – one component of intellectual resources (i.e., cognitive resources). Students are able to develop cognitive attributes when they engage in mathematical modeling activities. Furthermore, using many of the cognitive attributes developed during the mathematical modeling process, students solve mathematics problems, for example, in assessments. Examining students’ mastery of these cognitive attributes, we can investigate relationships between students’ cognitive development through mathematical modeling

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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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Bergen, Sarah. "Mathematics and Foreign Language: Authentic Texts in Mathematics." The Ohio State University, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=osu1492529675611436.

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Buie-Collard, Geoffrey. "HELPING STUDENTS AFFECTED WITH MATHEMATICS DISORDERS LEARN MATHEMATICS." Ohio University Art and Sciences Honors Theses / OhioLINK, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=ouashonors1586172168614395.

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Buie-Collard, Geoffrey Brock. "Helping Students Affected with Mathematics Disorders Learn Mathematics." The Ohio State University, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=osu1592387017569857.

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Yoder, Gina Borgioli. "Understanding mathematics teachers' constructions of equitable mathematics pedagogy." [Bloomington, Ind.] : Indiana University, 2008. 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:3330796.

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Thesis (Ph.D.)--Indiana University, School of Education, 2008.<br>Title from PDF t.p. (viewed on Jul 21, 2009). Source: Dissertation Abstracts International, Volume: 69-10, Section: A, page: 3849. Adviser: Signe Kastberg.

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Cronk, Carol Elizabeth. "Effects of mathematics professional development on growth in teacher mathematical content knowledge." CSUSB ScholarWorks, 2012. https://scholarworks.lib.csusb.edu/etd-project/139.

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The purpose of this project was to determine if there was a correlation between teachers' scores on fractions items on project assessments and the percentage of participation time in professional development activities.

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Allie-Ebrahim, Ferial. "Students, texts and mathematics : an analysis of mathematics texts and the construction of mathematics knowledge." Master's thesis, University of Cape Town, 2001. http://hdl.handle.net/11427/10064.

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Bibliography: leaves 149-155.<br>This study deals with a systematic description of student production of mathematics texts and focused on written texts that appeared to be legitimate yet could not be upheld by a principled verbal description. A search of the literature on the analysis of students texts revealed that semiotic analysis, was not only scarce, but ideally suited to examining the social organisation of school mathematics practice. This study examines how student texts produced in response to typical school mathematics problems can, via a systematic analysis of texts, index the const

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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 tw

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Durfee, Lucille J. "BIO-MATHEMATICS: INTRODUCTION TO THE MATHEMATICAL MODEL OF THE HEPATITIS C VIRUS." CSUSB ScholarWorks, 2016. https://scholarworks.lib.csusb.edu/etd/428.

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In this thesis, we will study bio-mathematics. We will introduce differential equations, biological applications, and simulations with emphasis in molecular events. One of the first courses of action is to introduce and construct a mathematical model of our biological element. The biological element of study is the Hepatitis C virus. The idea in creating a mathematical model is to approach the biological element in small steps. We will first introduce a block (schematic) diagram of the element, create differential equations that define the diagram, convert the dimensional equations to non-dime

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Cox, Raymond Taylor. "Mathematical Modeling of Minecraft – Using Mathematics to Model the Gameplay of Video Games." The Ohio State University, 2015. http://rave.ohiolink.edu/etdc/view?acc_num=osu1431009469.

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Braaten, Bailey M. "Mathematical Identities: Narratives and Discourses of Female Students in 8th and 9th Grade Mathematics." The Ohio State University, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=osu1595000898006834.

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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.<br>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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Leung, King-shun, and 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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Aljundi, Liam. "Moving Mathematics : Exploring constructivist tools to enhance mathematics learning." Thesis, Malmö universitet, Institutionen för konst, kultur och kommunikation (K3), 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:mau:diva-42981.

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The challenges faced by mathematics education reflect the more immense difficulties of the schooling system as a whole. This thesis investigates such challenges in the light of an ethical learning foundation and aims for a transformation through the use of technologies as learning tools. Interaction design methods are used to craft constructivist learning kits that aim to move mathematics students from passive receivers of knowledge to active learners. The proposed tools modify new technologies by adapting them to teachers’ and learners’ needs to be best suited for mathematics classroom adopt

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Leung, King-shun. "Pre-service teachers' attitudes towards mathematics and mathematics education /." Hong Kong : University of Hong Kong, 1996. http://sunzi.lib.hku.hk/hkuto/record.jsp?B17595848.

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De, Lange Laura. "Generating shared interpretive resources in the mathematics classroom: using philosophy of mathematics to teach mathematics better." Thesis, Rhodes University, 2017. http://hdl.handle.net/10962/4293.

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Every student has a unique mathematical lived experience: a unique amalgamation of ideas about mathematics, exposure to mathematical concepts and feelings about mathematics. A student's unique set of circumstances means that not every explanatory account of mathematics will cohere with her previous experiences. For an explanation to have explanatory potential, it must provide an account which coheres with the other beliefs a student has about mathematics. If an explanation has no such coherence, it will not be recognisable as an explanation of the phenomenon of mathematics for the student. Our

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48

Quillen, Mary Addington. "Relationships Among Prospective Elementary Teachers' Beliefs About Mathematics, Mathematics Content Knowledge, and Previous Mathematics Course Experiences." Diss., Virginia Tech, 1998. http://hdl.handle.net/10919/11120.

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The problem this study addresses is the relationship among the constructs content knowledge, beliefs, and previous experiences of prospective elementary teachers. The 36 participants in the study, 35 females and one male, were recent graduates from a five-year Elementary Education licensure program at a major university located in the Mid-Atlantic region. A correlational research design was used to investigate the relationships that might exist among the three constructs using Praxis I Pre-professional Math test scores, Beliefs Survey scores, and Previous Mathematics Experience Questionnaire [

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Laurenson, David James. "Patterns of interactions among mathematics educators: Perceptions of high school mathematics teachers and university mathematics faculty." Diss., The University of Arizona, 1992. http://hdl.handle.net/10150/185922.

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The aim of this study was to describe the interactions among mathematics educators, particularly high school mathematics teachers and university mathematics educators, with a view to determining the professional development that occurs in a university setting. Two university mathematics departments were selected for this study on the basis of their proactive stance in mathematics education. Data were collected through interviews, observations, and written materials pertaining to the mathematics education programs offered. Six university mathematics faculty members and six high school teachers

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Tynes, Curry Tiffany D. "A Comparative Study of Elementary Mathematics Specialists and Mathematics Coaches on Fourth Grade Students' Mathematics Achievement." ScholarWorks, 2017. https://scholarworks.waldenu.edu/dissertations/3731.

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Federal dollars are utilized to develop instructional programs for students not demonstrating mathematical proficiency on state standardized mathematics assessments, but there is a lack of empirical data on the effectiveness of two different approaches that were used in the local context. The purpose of this quantitative, nonexperimental, casual-comparative study was to determine if state achievement test scores of students in fourth grade who received instruction from a Mathematics Specialist (MS) during the 2007-2009 academic years demonstrated a statistically significant difference from the

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