Results for 'MATHEMATICS EDUCATION'

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  1.  9
    Mathematics Education and Neurosciences: Towards interdisciplinary insights into the development of young children's mathematical abilities.Fenna Van Nes - 2011 - Educational Philosophy and Theory 43 (1):75-80.
    The Mathematics Education and Neurosciences project is an interdisciplinary research program that bridges mathematics education research with neuroscientific research. The bidirectional collaboration will provide greater insight into young children's (aged four to six years) mathematical abilities. Specifically, by combining qualitative ‘design research’ with quantitative ‘experimental research’, we aim to come to a more thorough understanding of prerequisites that are involved in the development of early spatial and number sense. The mathematics education researchers are concerned (...)
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  2. Early Years Mathematics Education: the Missing Link.Boris Čulina - 2024 - Philosophy of Mathematics Education Journal 35 (41).
    In this article, modern standards of early years mathematics education are criticized and a proposal for change is presented. Today's early years mathematics education standards rest on a view of mathematics that became obsolete already at the end of the 19th century while the spirit of children's mathematics is precisely the spirit of modern mathematics. The proposal for change is not a return to the “new mathematics” movement, but something different.
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  3.  2
    Mathematics Education Research on Mathematical Practice.Keith Weber & Matthew Inglis - 2024 - In Bharath Sriraman (ed.), Handbook of the History and Philosophy of Mathematical Practice. Cham: Springer. pp. 2637-2663.
    In the mathematics education research literature, there is a growing body of scholarship on how mathematicians practice their craft. The purpose of this chapter is to survey some of this literature and explain how it can contribute to the philosophy of mathematical practice. We first describe how mathematics educators use empirical methodologies to investigate the behaviors of mathematicians and argue that findings from these studies can inform the philosophy of mathematical practice. We then illustrate this by summarizing (...)
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  4.  3
    Acupuncture Points of Mathematical Education of Philosophers: Contexts of the Worldview of the New Century.V. A. Erovenko - 2014 - Liberal Arts in Russia 3 (6):457.
    The article examines the current state of the mathematical education of the students-philosophers that depends on language of the humanitarian mathematics, evidence of its statements and methodological problem of the cognition of the mathematical facts. One of important tasks of philosophy of mathematical education consists in motivation of the need for training mathematics of students-philosophers. The main criterion of the usefulness of mathematics for philosophers is revealed in the ways of justification of its truth and (...)
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  5. Philosophy of mathematical practice: A primer for mathematics educators.Yacin Hamami & Rebecca Morris - 2020 - ZDM Mathematics Education 52:1113–1126.
    In recent years, philosophical work directly concerned with the practice of mathematics has intensified, giving rise to a movement known as the philosophy of mathematical practice . In this paper we offer a survey of this movement aimed at mathematics educators. We first describe the core questions philosophers of mathematical practice investigate as well as the philosophical methods they use to tackle them. We then provide a selective overview of work in the philosophy of mathematical practice covering topics (...)
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  6.  5
    Activity and Sign. Grounding Mathematical Education.Falk Seeger, Johannes Lenard & Michael H. G. Hoffmann (eds.) - 2005 - Springer.
    This volume provides new sources of knowledge based on Michael Otte’s fundamental insight that understanding the problems of mathematics education – how to teach, how to learn, how to communicate, how to do, and how to represent ...
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  7. The disruptive AlphaGeometry: Is it the beginning of the end of mathematics education?Quan-Hoang Vuong & Manh-Tung Ho - manuscript
    A new AI system, called AlphaGeometry, trained under synthetic data has demonstrated the ability to solve geometric problems at the International Olympiad level. This essay considers the fact that human abilities to learn and do math as well as many other tasks are increasingly augmented with AI. Clearly, smart technologies like AlphaGeometry are redefining a number of concepts and institutions such as learning, schools, education, teacher-student relationships, creativity, etc, which are so fundamental for what we’ve thought of as modern (...)
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  8.  8
    Psychometric methods in mathematics education: opportunities, challenges, and interdisciplinary collaborations.Andrew Izsak, Janine Remillard & Jonathan Templin (eds.) - 2016 - Reston, VA: National Council of Teachers of Mathematics.
    The fifteenth Journal for Research in Mathematics Education monograph had its origins in a conference titled An Interdisciplinary Conference on Assessment in K--12 Mathematics: Collaborations Between Mathematics Education and Psychometrics, which was held in 2011 in Atlanta, Georgia. The basis for the conference was the renaissance in the field of psychometrics in which an increasing variety of psychometric models are becoming available through advances in computer hardware and software. This is opening new avenues for studying (...)
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  9.  15
    Refractions of mathematics education: festschrift for Eva Jablonka.Eva Jablonka, Christer Bergsten & Bharath Sriraman (eds.) - 2015 - Charlotte, NC: Information Age Publishing.
    A Volume in Cognition, Equity & Society: International Perspectives formally known as International Perspectives on Mathematics Education - Cognition, Equity & Society Series Editor Bharath Sriraman, The University of Montana and Lyn English, Queensland University of Technology The diversity of research in mathematics education has been addressed as both, a problem and a strength. When manifested through adherence to different intellectual roots and theoretical orientations, diversions constitute 'refractions' of mathematics education. The collection and analysis (...)
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  10.  14
    History of Mathematics in Mathematics Education.Michael N. Fried - 2014 - In Michael R. Matthews (ed.), International Handbook of Research in History, Philosophy and Science Teaching. Springer. pp. 669-703.
    This paper surveys central justifications and approaches adopted by educators interested in incorporating history of mathematics into mathematics teaching and learning. This interest itself has historical roots and different historical manifestations; these roots are examined as well in the paper. The paper also asks what it means for history of mathematics to be treated as genuine historical knowledge rather than a tool for teaching other kinds of mathematical knowledge. If, however, history of mathematics is not subordinated (...)
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  11.  13
    Dewey, democracy, and mathematics education: Reconceptualizing the last bastion of curricular certainty.Kurt Stemhagen & Jason W. Smith - 2008 - Education and Culture 24 (2):25-40.
    In this article we contend that attempts to foster democratic education in the United States' public schools rarely include mathematics class in meaningful ways. We begin with Dewey's conception of democracy and then argue that current ways of thinking about mathematics do not provide adequate foundations for democratic mathematics education. Our reconceptualization of mathematics draws on Dewey's uniquely humanistic philosophy of mathematics. We conclude with some implications of democratic mathematics education for (...)
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  12.  12
    The Philosophy of Mathematics Education Today.Paul Ernest (ed.) - 2018 - Springer Verlag.
    This book offers an up-to-date overview of the research on philosophy of mathematics education, one of the most important and relevant areas of theory. The contributions analyse, question, challenge, and critique the claims of mathematics education practice, policy, theory and research, offering ways forward for new and better solutions. The book poses basic questions, including: What are our aims of teaching and learning mathematics? What is mathematics anyway? How is mathematics related to society (...)
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  13.  8
    Can mathematics education and history of mathematics coexist?Michael N. Fried - 2001 - Science & Education 10 (4):391-408.
  14.  9
    The Philosophy of Mathematics Education.Paul Ernest - 1991 - Falmer Press.
    Although many agree that all teaching rests on a theory of knowledge, this is an in-depth exploration of the philosophy of mathematics for education, building on the work of Lakatos and Wittgenstein.
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  15.  7
    Philosophical Underlabouring for Mathematics Education.Iskra Nunez - 2015 - Journal of Critical Realism 14 (2):181-204.
    The field of mathematics education has been fashioned by a diversity of theoretical and philosophical perspectives. The purpose of this study is to add to this field an analysis of the philosophical position of critical realism. To achieve this objective, the study addresses the following questions: what does critical realism have to offer mathematics education? How may critical realism underlabour for this discipline? In addressing these questions, the study provides an overview of the basic theories and (...)
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  16.  9
    Mathematics Education, Ethics, and the Limitations of Ethno-Mathematics.Dan Mamlok - 2018 - Philosophy of Education 74:166-170.
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  17.  13
    Computers, Mathematics Education, and the Alternative Epistemology of the Calculus in the Yuktibhāṣā.C. K. Raju - 2001 - Philosophy East and West 51 (3):325 - 362.
    Current formal mathematics, being divorced from the empirical, is entirely a social construct, so that mathematical theorems are no more secure than the cultural belief in two-valued logic, incorrectly regarded as universal. Computer technology, by enhancing the ability to calculate, has put pressure on this social construct, since proof-oriented formal mathematics is awkward for computation, while computational mathematics is regarded as epistemo-logically insecure. Historically, a similar epistemological fissure between computational/practical Indian mathematics and formal/spiritual Western mathematics (...)
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  18.  11
    Research in mathematics education in Australasia 2016-2019.Rosida Marasabessy, Nana Diana & Della Yurmalia - 2022 - British Journal of Educational Studies 70 (2):259-260.
    Research In Mathematics Education In Australasia 2016–2019 (sometimes shortened to RiMEA 2016–2019) is a timely and important edited collection where contributors provide critical reviews on mathem...
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  19.  11
    Computers, mathematics education, and the alternative epistemology of the calculus in the.C. K. Raju - 2001 - Philosophy East and West 51 (3):325-362.
    Current formal mathematics, being divorced from the empirical, is entirely a social construct, so that mathematical theorems are no more secure than the cultural belief in two-valued logic, incorrectly regarded as universal. Computer technology, by enhancing the ability to calculate, has put pressure on this social construct, since proof-oriented formal mathematics is awkward for computation, while computational mathematics is regarded as epistemo-logically insecure. Historically, a similar epistemological fissure between computational/practical Indian mathematics and formal/spiritual Western mathematics (...)
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  20.  5
    Foreign influence and the mathematics education at the Spanish College of Artillery.Juan Navarro Loidi - 2020 - Philosophia Scientiae 24:115-136.
    Le but de cet article est d’étudier l’enseignement des mathématiques au Collège d’Artillerie espagnol de 1764 à 1842, et de repérer les influences étrangères sur elle. Après quelques hésitations, un programme standard est adopté commençant par l’arithmétique et finissant par le calcul différentiel et intégral et la mécanique. L’unique changement important fut en 1819 quand la mécanique devint une matière indépendante. Pendant les premières décennies, avec Giannini comme premier professeur, l’emprise italienne était importante, néanmoins il existait une influence française et (...)
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  21.  10
    Foreign influence and the mathematics education at the Spanish College of Artillery (1764-1842).Juan Navarro Loidi - 2020 - Philosophia Scientiae:115-136.
    Le but de cet article est d’étudier l’enseignement des mathématiques au Collège d’Artillerie espagnol de 1764 à 1842, et de repérer les influences étrangères sur elle. Après quelques hésitations, un programme standard est adopté commençant par l’arithmétique et finissant par le calcul différentiel et intégral et la mécanique. L’unique changement important fut en 1819 quand la mécanique devint une matière indépendante. Pendant les premières décennies, avec Giannini comme premier professeur, l’emprise italienne était importante, néanmoins il existait une influence française et (...)
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  22.  7
    Foreign influence and the mathematics education at the Spanish College of Artillery (1764-1842).Juan Navarro Loidi - 2020 - Philosophia Scientiae 24:115-136.
    Le but de cet article est d’étudier l’enseignement des mathématiques au Collège d’Artillerie espagnol de 1764 à 1842, et de repérer les influences étrangères sur elle. Après quelques hésitations, un programme standard est adopté commençant par l’arithmétique et finissant par le calcul différentiel et intégral et la mécanique. L’unique changement important fut en 1819 quand la mécanique devint une matière indépendante. Pendant les premières décennies, avec Giannini comme premier professeur, l’emprise italienne était importante, néanmoins il existait une influence française et (...)
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  23.  8
    Peirce’s Philosophy of Mathematical Education: Fostering Reasoning Abilities for Mathematical Inquiry.Daniel G. Campos - 2010 - Studies in Philosophy and Education 29 (5):421-439.
    I articulate Charles S. Peirce’s philosophy of mathematical education as related to his conception of mathematics, the nature of its method of inquiry, and especially, the reasoning abilities required for mathematical inquiry. The main thesis is that Peirce’s philosophy of mathematical education primarily aims at fostering the development of the students’ semeiotic abilities of imagination, concentration, and generalization required for conducting mathematical inquiry by way of experimentation upon diagrams. This involves an emphasis on the relation between theory (...)
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  24. Mathematizing as a virtuous practice: different narratives and their consequences for mathematics education and society.Deborah Kant & Deniz Sarikaya - 2020 - Synthese 199 (1-2):3405-3429.
    There are different narratives on mathematics as part of our world, some of which are more appropriate than others. Such narratives might be of the form ‘Mathematics is useful’, ‘Mathematics is beautiful’, or ‘Mathematicians aim at theorem-credit’. These narratives play a crucial role in mathematics education and in society as they are influencing people’s willingness to engage with the subject or the way they interpret mathematical results in relation to real-world questions; the latter yielding important (...)
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  25.  4
    Mathematics Educations of Helplessness.Julio Correa & João Ricardo Viola dos Santos - 2023 - Prometeica - Revista De Filosofía Y Ciencias 27:327-335.
    The main objective of this paper is to present a mathematics education of helplessness in a problematization movement of political affects. So, we produce a discussion about Circuit of Affects, by the Brazilian philosopher Vladimir Safatle, in which fear and hope are constituted as affects that paralyze us and prevent us from creating new forms of life. Helplessness could be constituted as an affect for us to move with the contingency outside the temporality of expectation. The Covid-19 pandemic (...)
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  26.  20
    A Manifesto from the Margins: A New Epoch for (Non)Theoretical Mathematics Education Research.David M. Bowers, Christopher H. Dubbs & Alexander S. Moore - unknown
    This editorial, introducing the Journal for Theoretical & Marginal Mathematics Education, is historically situated in a moment when the field of mathematics education research is on the precipice of acknowledging that the old world is dying. That is to say, the way research has been done before is no longer adequate for operating within the White, Colonial, cis-hetero Patriarchal, Abled Capitalist dystopia we find ourselves. This inadequacy is, however, not a reason for despair but instead for (...)
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  27.  9
    Mathematics education in late sixteenth-century Antwerp.Ad Meskens - 1996 - Annals of Science 53 (2):137-155.
    In this paper I present a picture of the social status of the Antwerp arithmetic teachers. This requires first a closer look at the Antwerp schoolmaster in general. Because no fewer than two-thirds of them were also reckoning masters most of the conclusions about teachers are also valid for reckoning masters. The consequences of the sack of Antwerp in 1585 provides us with a wealth of information about the social position of its inhabitants. The material about reckoning teachers is presented. (...)
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  28.  11
    The Philosophy of Mathematics Education.Michael Cornelius & Paul Ernest - 1991 - British Journal of Educational Studies 39 (3):348.
  29. Early Mathematics Education.Stephen Campbell - 2002 - Philosophy of Mathematics Education Journal 15.
  30. Mathematics Education Ideologies and Globalization.Paul Ernest - 2007 - Philosophy of Mathematics Education Journal 21.
     
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  31. Postmodern Mathematics Education: Script For Animated Movie Discussion.Paul Ernest & Allan Tarp - 2013 - Philosophy of Mathematics Education Journal 27.
     
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  32. Mathematics Education And Language: Interpreting Hermeneutics And Post-structuralism. [REVIEW]Paul Ernest - 1997 - Philosophy of Mathematics Education Journal 10.
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  33.  1
    Philosophy of mathematics education.Andrew Davis - 1992 - Journal of Philosophy of Education 26 (1):121–126.
    This book discusses both the philosophy of mathematics and of mathematics education. The first part is a critique of existing approaches and a new philosophy of mathematics. Chapters include: (1) "A Critique of Absolutist Philosophies of Mathematics," (2) "The Philosophy of Mathematics Reconceptualized," (3) "Social Constructivism as a Philosophy of Mathematics," (4) "Social Constructivism and Subjective Knowledge," and (5) "The Parallels of Social Constructivism." The second part of the book explores the philosophy of (...)
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  34.  13
    Cognitive Research and Mathematics Education—How Can Basic Research Reach the Classroom?Henrique Simplicio, Hedwig Gasteiger, Beatriz Vargas Dorneles, Ka Rene Grimes, Vitor Geraldi Haase, Carola Ruiz, Francéia Veiga Liedtke & Korbinian Moeller - 2020 - Frontiers in Psychology 11.
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  35.  23
    PISA and policy-borrowing: A philosophical perspective on their interplay in mathematics education.Ian Cantley - 2019 - Educational Philosophy and Theory 51 (12):1200-1215.
    Mathematics achievement in different education systems around the world is assessed periodically in the Programme for International Student Assessment. PISA is deemed to yield robust...
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  36.  3
    Is philosophy detrimental to mathematics education?Stefano Luzzatto - 1991 - Philosophia Mathematica (1):65-72.
  37.  4
    History in Mathematics Education. Ivor Grattan-Guinness.Joan L. Richards - 1990 - Isis 81 (3):546-547.
  38.  2
    Ethics in Research in Mathematics Education.Allan Okech - 2010 - Journal of Academic Ethics 8 (2):129-135.
    Most scientific domains have guidelines concerning ethics in research. These guidelines are designed to enable researchers to conduct good research while avoiding potential harm to research participants. This paper examines the bases for ethical codes in research and discusses how these codes are operationalized in research conducted in the field of mathematics education.
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  39.  1
    Science and Mathematics Education for the 21St Century.Luther S. Williams - 1992 - Bulletin of Science, Technology and Society 12 (2):72-80.
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  40.  4
    Seeking diversity in mathematics education: Mathematical modeling in the practice of biologists and mathematicians.Erick Smith, Shawn Haarer & Jere Confrey - 1997 - Science & Education 6 (5):441-472.
  41.  5
    Math Worlds: Philosophical and Social Studies of Mathematics and Mathematics Education.Sal Restivo, Jean Paul Van Bendegem & Roland Fischer (eds.) - 1993 - State University of New York Press.
    An international group of distinguished scholars brings a variety of resources to bear on the major issues in the study and teaching of mathematics, and on the problem of understanding mathematics as a cultural and social phenomenon. All are guided by the notion that our understanding of mathematical knowledge must be grounded in and reflect the realities of mathematical practice. Chapters on the philosophy of mathematics illustrate the growing influence of a pragmatic view in a field traditionally (...)
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  42.  8
    The Interplay of Psychology and Mathematics Education: From the Attraction of Psychology to the Discovery of the Social.Karen François, Kathleen Coessens & Jean Paul Van Bendegem - 2012 - Journal of Philosophy of Education 46 (3):370-385.
    It is a rather safe statement to claim that the social dimensions of the scientific process are accepted in a fair share of studies in the philosophy of science. It is a somewhat safe statement to claim that the social dimensions are now seen as an essential element in the understanding of what human cognition is and how it functions. But it would be a rather unsafe statement to claim that the social is fully accepted in the philosophy of (...). And we are not quite sure what kind of statement it is to claim that the social dimensions in theories of mathematics education are becoming more prominent, compared to the psychological dimensions. In our contribution we will focus, after a brief presentation of the above claims, on this particular domain to understand the successes and failures of the development of theories of mathematics education that focus on the social and not primarily on the psychological. (shrink)
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  43.  8
    Networking of theories as a research practice in mathematics education.Angelika Bikner-Ahsbahs & Susanne Prediger (eds.) - 2014 - Cham: Springer.
    How can we deal with the diversity of theories in mathematics education? This was the main question that led the authors of this book to found the Networking Theories Group. Starting from the shared assumption that the existence of different theories is a resource for mathematics education research, the authors have explored the possibilities of interactions between theories, such as contrasting, coordinating, and locally integrating them. The book explains and illustrates what it means to network theories; (...)
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  44.  5
    Networking of theories as a research practice in mathematics education.Angelika Bikner-Ahsbahs & Susanne Prediger (eds.) - 2014 - Cham: Springer.
    How can we deal with the diversity of theories in mathematics education? This was the main question that led the authors of this book to found the Networking Theories Group. Starting from the shared assumption that the existence of different theories is a resource for mathematics education research, the authors have explored the possibilities of interactions between theories, such as contrasting, coordinating, and locally integrating them. The book explains and illustrates what it means to network theories; (...)
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  45. Philosophy Of Mathematics Education: Pom, Po Or Poe ?Stephen Brown - 1995 - Philosophy of Mathematics Education Journal 8.
  46.  9
    A History of Mathematics Education in EnglandGeoffrey Howson.James G. O'Hara - 1984 - Isis 75 (3):575-575.
  47.  13
    The Roots of Mathematics Education in Russia in the Age of Peter the Great.Irving H. Anellis - 1990 - Philosophia Mathematica (1-2):23-55.
  48.  10
    The current situation and strategy of Olympic education for primary and secondary school students based on Science- Technology- Engineering- Art- Mathematics education in the context of physical literacy.Jia Li & Lei Yuan - 2022 - Frontiers in Psychology 13.
    The purpose of this paper is the influence of Science- Technology- Engineering- Art- Mathematics education on the Olympic education of primary and middle school students. The research object is the Beijing Olympic model school. The frame structure and educational concept of STEAM education are studied, and a questionnaire survey on the current situation of Olympic education is conducted. Finally, improvement measures based on the survey results are provided combined with STEAM education, and the teaching (...)
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  49.  11
    The philosophy of mathematics education by Paul Ernest.Aditi Gowri - 1994 - Social Epistemology 8 (2):139 – 150.
  50.  6
    The philosophy of mathematics education by Paul Ernest.Paul Ernest - 1994 - Social Epistemology 8 (2):151 – 161.
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