Academic literature on the topic 'Understanding of Mathematics'

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Journal articles on the topic "Understanding of Mathematics"

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Raveh, Ira, Elena Trotskovsky, and Nissim Sabag. "Mathematical Understanding vs. Engineering Understanding: Engineering Students’ Perceptions." International Research in Higher Education 2, no. 2 (2017): 15. http://dx.doi.org/10.5430/irhe.v2n2p15.

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The current study explores how BSc engineering students at an academic college of engineering perceive engineering and mathematical understanding and the interrelationships between them. The theoretical framework for this research includes three main aspects of engineering and mathematical understanding: procedural, conceptual, and applicable. The participants were thirty BSc students from different engineering disciplines who answered a four-open-items questionnaire that included three questions dealing with specific mathematical and engineering subjects and one general question. Content anal
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Simbolon, Novi. "Understanding the Concept of Mathematics and Mathematical Representation in Mathematics Teaching." International Journal for Research in Applied Science and Engineering Technology 6, no. 4 (2018): 5062–68. http://dx.doi.org/10.22214/ijraset.2018.4825.

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Ransom, Peter, Chris Cox, David Bell, and John Murray. "Understanding Mathematics 5." Mathematical Gazette 79, no. 484 (1995): 169. http://dx.doi.org/10.2307/3620045.

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Brook, J. W., A. J. Sadler, and D. W. S. Thorning. "Understanding Pure Mathematics." Mathematical Gazette 72, no. 459 (1988): 67. http://dx.doi.org/10.2307/3618013.

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Grégoire, Jacques. "Understanding Creativity in Mathematics for Improving Mathematical Education." Journal of Cognitive Education and Psychology 15, no. 1 (2016): 24–36. http://dx.doi.org/10.1891/1945-8959.15.1.24.

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Mathematical creativity is rooted in the intellectual abilities and personality traits of each individual, in which the direct influence of education is only moderate. However, education could have more influence on three important components of creativity: expertise, original thinking, and intrinsic motivation, which underlie individual creative potential. At school, the development of the students’ creative potential should start from the teachers’ mathematical education. Only expert and creative teachers can provide the appropriate environment for developing students’ creativity. To develop
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Smith, Margaret, Victoria Bill, and Mary Lynn Raith. "Promoting a Conceptual Understanding of Mathematics." Mathematics Teaching in the Middle School 24, no. 1 (2018): 36–43. http://dx.doi.org/10.5951/mathteacmiddscho.24.1.0036.

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Rocha, Helena. "Mathematical proof: from mathematics to school mathematics." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 377, no. 2140 (2019): 20180045. http://dx.doi.org/10.1098/rsta.2018.0045.

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Proof plays a central role in developing, establishing and communicating mathematical knowledge. Nevertheless, it is not such a central element in school mathematics. This article discusses some issues involving mathematical proof in school, intending to characterize the understanding of mathematical proof in school, its function and the meaning and relevance attributed to the notion of simple proof. The main conclusions suggest that the idea of addressing mathematical proof at all levels of school is a recent idea that is not yet fully implemented in schools. It requires an adaptation of the
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Davis, Edward J. "A Model for Understanding Understanding in Mathematics." Mathematics Teaching in the Middle School 12, no. 4 (2006): 190–97. http://dx.doi.org/10.5951/mtms.12.4.0190.

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Although this article was written almost thirty years ago, its content is relevant to today's conversations about the roles of conceptual understanding and procedural fluency in the teaching of mathematics.
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Habibi, Andrik, and Tri Novita Irawati. "The Application of Probing Prompting Learning (PPL) Model with Realistic Mathematics Education (RME) Approach to Increase Understanding of Student Mathematics Concepts." Jurnal Axioma : Jurnal Matematika dan Pembelajaran 4, no. 1 (2019): 33–43. http://dx.doi.org/10.36835/axi.v4i1.342.

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Understanding of mathematical concepts is the ability of students to understand facts related to mathematics which can be expressed again in easily understood languages. The problem examined in this study is research on improving mathematical understanding of integer operations through the application of Probing Prompting Learning (PPL) with Realistic Mathematic Education (RME) approach. The method used is observation, documentation, interviews, and test methods, while the data analysis uses the percentage formula of the results of observations and the percentage of completeness of learning ou
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Cai, Jinfa, and Meixia Ding. "On mathematical understanding: perspectives of experienced Chinese mathematics teachers." Journal of Mathematics Teacher Education 20, no. 1 (2015): 5–29. http://dx.doi.org/10.1007/s10857-015-9325-8.

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Dissertations / Theses on the topic "Understanding of Mathematics"

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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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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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Folk, Sandra. "Understanding teaching for understanding in the mathematics classroom." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape7/PQDD_0016/NQ45670.pdf.

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Vagliardo, James Joseph. "Mathematics and nursing students' conceptual understanding of mathematics for nursing /." Diss., Online access via UMI:, 2008.

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Tapia, Ernesto. "Understanding mathematics: a system for the recognition of on-line handwritten mathematical expressions." [S.l. : s.n.], 2004. http://www.diss.fu-berlin.de/2005/12/index.html.

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Lovelace, Stephen D. "Teacher beliefs about conceptual understanding in mathematics." Laramie, Wyo. : University of Wyoming, 2005. http://proquest.umi.com/pqdweb?did=990277791&sid=1&Fmt=2&clientId=18949&RQT=309&VName=PQD.

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Porteous, Keith. "Understanding mathematics : proof and childrens autonomous judgements." Thesis, University of Newcastle Upon Tyne, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.245110.

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Williams, Julie J. "Supporting Mathematics Understanding Through Funds of Knowledge." Thesis, University of North Texas, 2015. https://digital.library.unt.edu/ark:/67531/metadc804889/.

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Parents are often criticized for the types of roles they play in their children’s education. Rather than assuming parents do not contribute to their children’s learning, this study identified the various ways Hispanic parents support mathematics learning in the home. Using a funds of knowledge lens, the history, practices, and experiences of families that contributed to their children’s mathematics understanding was explored. The purpose of this study was to identify the unique funds of knowledge among three Hispanic families living in the same city, specifically, how parents supported their c
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Marshall, Anne Marie 1974. "Understanding opportunities to practice what we preach mathematical experiences of mathematics education doctoral students /." College Park, Md.: University of Maryland, 2008. http://hdl.handle.net/1903/8750.

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Thesis (Ph. D.) -- University of Maryland, College Park, 2008.<br>Thesis research directed by: Dept. of Curriculum and Instruction. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.
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Kam, Shuk-han Tiffany, and 甘淑嫻. "Effect of Knowledge Forum on primary mathematics understanding." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2001. http://hub.hku.hk/bib/B23501285.

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(Uncorrected OCR) Abstract This study is designed to examine the effectiveness of Knowledge Forum (KF) on foresting mathematical concept understanding and problem solving; and on enhancing attitude towards and beliefs of mathematic word problems. Thirty-eight sixth graders from a Hong Kong pnmary school were introduced to KF in mathematics proportional reasoning learning for five weeks. The students spent about one hour a week at school to solve ratio and proportion problems through KF and another hour to reflect on their learning by whole class discussion. Before and after the experi
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Books on the topic "Understanding of Mathematics"

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Understanding mathematics. 2nd ed. Johns Hopkins University Press, 2010.

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Cox, Christopher J. Understanding mathematics 3. Murray, 1985.

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Stahl, Saul. Understanding modern mathematics. Jones and Bartlett Publishers, 2006.

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Sadler, A. J. Understanding pure mathematics. O.U.P., 1995.

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Understanding in mathematics. Falmer, 1994.

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Understanding engineering mathematics. Newnes, 2001.

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Sandy, Pepperell, Pope Sue 1959-, and NetLibrary Inc, eds. Understanding primary mathematics. David Fulton, 2004.

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Understanding symbolic logic. 2nd ed. Prentice Hall, 1989.

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Klenk, Virginia. Understanding symbolic logic. 3rd ed. Prentice Hall, 1994.

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Klenk, Virginia. Understanding symbolic logic. 3rd ed. Prentice Hall, 1994.

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Book chapters on the topic "Understanding of Mathematics"

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Mordeson, John N. "Fuzzy Mathematics." In Foundations of Image Understanding. Springer US, 2001. http://dx.doi.org/10.1007/978-1-4615-1529-6_4.

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Pound, Linda, and Trisha Lee. "Developing understanding." In Teaching Mathematics Creatively, 3rd ed. Routledge, 2021. http://dx.doi.org/10.4324/9781003055396-4.

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Pound, Linda, and Trisha Lee. "Building mathematical understanding." In Teaching Mathematics Creatively, 3rd ed. Routledge, 2021. http://dx.doi.org/10.4324/9781003055396-10.

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Cotton, Tony. "Problem solving using mathematics." In Understanding and Teaching. Routledge, 2020. http://dx.doi.org/10.4324/9780429318450-4.

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Pine, Nancy. "Depth of Understanding—Mathematics." In Educating Young Giants. Palgrave Macmillan US, 2012. http://dx.doi.org/10.1057/9781137037565_4.

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Bryant, Peter, and Terezinha Nuñes. "Children's Understanding of Mathematics." In The Wiley-Blackwell Handbook of Childhood Cognitive Development. Wiley-Blackwell, 2010. http://dx.doi.org/10.1002/9781444325485.ch21.

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Strom, Jeffrey. "Understanding suspension." In Graduate Studies in Mathematics. American Mathematical Society, 2011. http://dx.doi.org/10.1090/gsm/127/17.

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Cassidy, David, Gerald Holton, and James Rutherford. "Reviewing Units, Mathematics, and Scientific Notation." In Understanding Physics. Springer New York, 2002. http://dx.doi.org/10.1007/0-387-21660-x_3.

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Cotton, Tony. "Teaching and learning primary mathematics." In Understanding and Teaching. Routledge, 2020. http://dx.doi.org/10.4324/9780429318450-1.

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Cotton, Tony. "Recent developments in mathematics teaching." In Understanding and Teaching. Routledge, 2020. http://dx.doi.org/10.4324/9780429318450-3.

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Conference papers on the topic "Understanding of Mathematics"

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De Zeeuw, Audrey, Tara Craig, and Hye Sun You. "Assessing conceptual understanding in mathematics." In 2013 IEEE Frontiers in Education Conference (FIE). IEEE, 2013. http://dx.doi.org/10.1109/fie.2013.6685135.

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Šimberová, Stanislava, Michal Haindl, Jan Flusser, Manuel de León, D. M. de Diego, and R. M. Ros. "Mathematics Improves Astronomical Image Understanding." In MATHEMATICS AND ASTRONOMY: A JOINT LONG JOURNEY: Proceedings of the International Conference. AIP, 2010. http://dx.doi.org/10.1063/1.3506062.

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Siregar, Nani Restati, Supra Wimbarti, Sri Koesrohmaniah, and Yulius Sunardi. "Teachers’ Understanding About Executive Function Toward Mathematics." In Proceedings of the 3rd International Conference on Learning Innovation and Quality Education (ICLIQE 2019). Atlantis Press, 2020. http://dx.doi.org/10.2991/assehr.k.200129.035.

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Yuliandari, Ria Norfika, and Dian Mustika Anggraini. "Teaching for Understanding Mathematics in Primary School." In International Conference on Engineering, Technology and Social Science (ICONETOS 2020). Atlantis Press, 2021. http://dx.doi.org/10.2991/assehr.k.210421.007.

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Liang, Kevin, and Miguel A. Alonso. "The Pupil-Difference Probability Density as a tool for understanding OTF." In Mathematics in Imaging. OSA, 2018. http://dx.doi.org/10.1364/math.2018.mtu2d.5.

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RECK, ERICH H. "DEDEKIND, STRUCTURAL REASONING, AND MATHEMATICAL UNDERSTANDING." In Essays in Philosophy and History of Mathematics. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812812230_0007.

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Risnanosanti and Yuriska Destania. "Undergraduate Students’ Conceptual Understanding on Abstract Algebra." In International Conference on Mathematics and Islam. SCITEPRESS - Science and Technology Publications, 2018. http://dx.doi.org/10.5220/0008523304380443.

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Tinungki, Georgina Maria, and Budi Nurwahyu. "Analysis of Ability for Understanding the Basic Concepts of Probability Theory." In 1st International Conference on Mathematics and Mathematics Education (ICMMEd 2020). Atlantis Press, 2021. http://dx.doi.org/10.2991/assehr.k.210508.103.

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Kent, P. "The mathematical components of engineering expertise: the relationship between doing and understanding mathematics." In IEE 2nd Annual Symposium on Engineering Education. IEE, 2002. http://dx.doi.org/10.1049/ic:20020120.

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Mussio, Luigi, Rossella Nocera, and Daniela Poli. "Discrete mathematics for spatial data classification and understanding." In Electronic Imaging '99, edited by Sabry F. El-Hakim and Armin Gruen. SPIE, 1998. http://dx.doi.org/10.1117/12.333786.

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Reports on the topic "Understanding of Mathematics"

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Roschelle, Jeremy, Britte Haugan Cheng, Nicola Hodkowski, Lina Haldar, and Julie Neisler. Transfer for Future Learning of Fractions within Cignition’s Microtutoring Approach. Digital Promise, 2020. http://dx.doi.org/10.51388/20.500.12265/95.

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In this exploratory research project, our team’s goal was to design and begin validation of a measurement approach that could provide indication of a student’s ability to transfer their mathematics understanding to future, more advanced mathematical topics. Assessing transfer of learning in mathematics and other topics is an enduring challenge. We sought to invent and validate an approach to transfer that would be relevant to improving Cignition’s product, would leverage Cignition’s use of online 1:1 tutoring, and would pioneer an approach that would contribute more broadly to assessment resea
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Tiruneh, Dawit T., John Hoddinott, Caine Rolleston, Ricardo Sabates, and Tassew Woldehanna. Understanding Achievement in Numeracy Among Primary School Children in Ethiopia: Evidence from RISE Ethiopia Study. Research on Improving Systems of Education (RISE), 2021. http://dx.doi.org/10.35489/bsg-rise-wp_2021/071.

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Ethiopia has succeeded in rapidly expanding access to primary education over the past two decades. However, learning outcomes remain low among primary school children and particularly among girls and children from disadvantaged backgrounds. Starting with a systematic review of quantitative studies on the determinants of learning outcomes among primary school children in Ethiopia, this study then examined key determinants of students’ numeracy achievement over the 2018-19 school year. The study focused on Grade 4 children (N=3,353) who are part of an on-going longitudinal study. The two questio
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Perdigão, Rui A. P. Earth System Dynamic Intelligence - ESDI. Meteoceanics, 2021. http://dx.doi.org/10.46337/esdi.210414.

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Earth System Dynamic Intelligence (ESDI) entails developing and making innovative use of emerging concepts and pathways in mathematical geophysics, Earth System Dynamics, and information technologies to sense, monitor, harness, analyze, model and fundamentally unveil dynamic understanding across the natural, social and technical geosciences, including the associated manifold multiscale multidomain processes, interactions and complexity, along with the associated predictability and uncertainty dynamics. The ESDI Flagship initiative ignites the development, discussion and cross-fertilization of
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