Download or read book Beliefs Autonomy and Mathematical Knowledge written by Judy Ann Rector and published by . This book was released on 1992 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Epistemic Autonomy written by Jonathan Matheson and published by Taylor & Francis. This book was released on 2021-08-05 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book dedicated to the topic of epistemic autonomy. It features original essays from leading scholars that promise to significantly shape future debates in this emerging area of epistemology. While the nature of and value of autonomy has long been discussed in ethics and social and political philosophy, it remains an underexplored area of epistemology. The essays in this collection take up several interesting questions and approaches related to epistemic autonomy. Topics include the nature of epistemic autonomy, whether epistemic paternalism can be justified, autonomy as an epistemic value and/or vice, and the relation of epistemic autonomy to social epistemology and epistemic injustice. Epistemic Autonomy will be of interest to researchers and advanced students working in epistemology, ethics, and social and political philosophy.
Download or read book Beliefs A Hidden Variable in Mathematics Education written by G.C. Leder and published by Springer Science & Business Media. This book was released on 2005-12-28 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on aspects of mathematical beliefs, from a variety of different perspectives. Current knowledge of the field is synthesized and existing boundaries are extended. The volume is intended for researchers in the field, as well as for mathematics educators teaching the next generation of students.
Download or read book Autonomy Platonism and the Indispensability Argument written by Russell Marcus and published by Lexington Books. This book was released on 2015-06-11 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical platonism is the view that mathematical statements are true of real mathematical objects like numbers, shapes, and sets. One central problem with platonism is that numbers, shapes, sets, and the like are not perceivable by our senses. In contemporary philosophy, the most common defense of platonism uses what is known as the indispensability argument. According to the indispensabilist, we can know about mathematics because mathematics is essential to science. Platonism is among the most persistent philosophical views. Our mathematical beliefs are among our most entrenched. They have survived the demise of millennia of failed scientific theories. Once established, mathematical theories are rarely rejected, and never for reasons of their inapplicability to empirical science. Autonomy Platonism and the Indispensability Argument is a defense of an alternative to indispensability platonism. The autonomy platonist believes that mathematics is independent of empirical science: there is purely mathematical evidence for purely mathematical theories which are even more compelling to believe than empirical science. Russell Marcus begins by contrasting autonomy platonism and indispensability platonism. He then argues against a variety of indispensability arguments in the first half of the book. In the latter half, he defends a new approach to a traditional platonistic view, one which includes appeals to a priori but fallible methods of belief acquisition, including mathematical intuition, and a natural adoption of ordinary mathematical methods. In the end, Marcus defends his intuition-based autonomy platonism against charges that the autonomy of mathematics is viciously circular. This book will be useful to researchers, graduate students, and advanced undergraduates with interests in the philosophy of mathematics or in the connection between science and mathematics.
Download or read book Autonomous Knowledge written by J. Adam Carter and published by Oxford University Press. This book was released on 2022-02 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: This resource motivates and develops a new research programme in epistemology that is centred around the concept of epistemic autonomy.--
Download or read book Social Constructivism as a Philosophy of Mathematics written by Paul Ernest and published by SUNY Press. This book was released on 1998-01-01 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extends the ideas of social constructivism to the philosophy of mathematics, developing a powerful critique of traditional absolutist conceptions of mathematics, and proposing a reconceptualization of the philosophy of mathematics.
Download or read book Resources in Education written by and published by . This book was released on 1994-03 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Epistemological Beliefs and Critical Thinking in Mathematics written by Benjamin Rott and published by Springer Nature. This book was released on 2021-08-30 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: Epistemological beliefs—i.e. beliefs on the nature of knowledge, its limits, sources, and justification—play an important role both in everyday life and in learning processes. This book comprises several studies dealing with such beliefs in the domain of mathematics; amongst others a qualitative interview study, and quantitative studies for which a new questionnaire has been developed. In this new instrument, belief position (e.g. “mathematical knowledge is certain” vs. “uncertain”) and belief argumentation (the way those positions are justified) are differentiated. Additionally, a test for mathematical critical thinking has been designed.The results show significant correlations between sophisticated belief argumentations and high scores in the critical thinking test, but no correlations regarding belief positions.
Download or read book Platonism Naturalism and Mathematical Knowledge written by James Robert Brown and published by Routledge. This book was released on 2013-06-17 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study addresses a central theme in current philosophy: Platonism vs Naturalism and provides accounts of both approaches to mathematics, crucially discussing Quine, Maddy, Kitcher, Lakoff, Colyvan, and many others. Beginning with accounts of both approaches, Brown defends Platonism by arguing that only a Platonistic approach can account for concept acquisition in a number of special cases in the sciences. He also argues for a particular view of applied mathematics, a view that supports Platonism against Naturalist alternatives. Not only does this engaging book present the Platonist-Naturalist debate over mathematics in a comprehensive fashion, but it also sheds considerable light on non-mathematical aspects of a dispute that is central to contemporary philosophy.
Download or read book Beliefs and Mathematics written by Bharath Sriraman and published by IAP. This book was released on 2007-12-01 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beliefs and Mathematics is a Festschrift honoring the contributions of Günter Törner to mathematics education and mathematics. Mathematics Education as a legitimate area of research emerged from the initiatives of well known mathematicians of the last century such as Felix Klein and Hans Freudenthal. Today there is an increasing schism between researchers in mathematics education and those in mathematics as evidenced in the Math wars in the U.S and other parts of the world. Günter Törner represents an international voice of reason, well respected and known in both groups, one who has successfully bridged and worked in both domains for three decades. His contributions in the domain of beliefs theory are well known and acknowledged. The articles in this book are written by many prominent researchers in the area of mathematics education, several of whom are editors of leading journals in the field and have been at the helm of cutting edge advances in research and practice. The contents cover a wide spectrum of research, teaching and learning issues that are relevant for anyone interested in mathematics education and its multifaceted nature of research. The book as a whole also conveys the beauty and relevance of mathematics in societies around the world. It is a must read for anyone interested in mathematics education.
Download or read book Handbook of Research on Mathematics Teaching and Learning written by Douglas Grouws and published by IAP. This book was released on 2006-11-01 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sponsored by the National Council of Teachers of Mathematics and written by leading experts in the field of mathematics education, the Handbook is specifically designed to make important, vital scholarship accessible to mathematics education professors, graduate students, educational researchers, staff development directors, curriculum supervisors, and teachers. The Handbook provides a framework for understanding the evolution of the mathematics education research field against the backdrop of well-established conceptual, historical, theoretical, and methodological perspectives. It is an indispensable working tool for everyone interested in pursuing research in mathematics education as the references for each of the Handbook's twenty-nine chapters are complete resources for both current and past work in that particular area.
Download or read book Philosophical Dimensions in Mathematics Education written by Karen Francois and published by Springer Science & Business Media. This book was released on 2007-11-15 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings together diverse recent developments exploring the philosophy of mathematics in education. The unique combination of ethnomathematics, philosophy, history, education, statistics and mathematics offers a variety of different perspectives from which existing boundaries in mathematics education can be extended. The ten chapters in this book offer a balance between philosophy of and philosophy in mathematics education. Attention is paid to the implementation of a philosophy of mathematics within the mathematics curriculum.
Download or read book Beliefs and Attitudes in Mathematics Education written by Jürgen Maasz and published by BRILL. This book was released on 2019-02-11 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tina Besley has edited this collection which examines and critiques the ways that different countries, particularly Commonwealth and European states, assess the quality of educational research in publicly funded higher education institutions. Such assessment often ranks universities, departments and even individual academics, and plays an important role in determining the allocation of funding to support university research.
Download or read book Constructivism written by Eleanor R. Lehman and published by Educational Technology. This book was released on 1995 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Constructing Knowledge for Teaching Secondary Mathematics written by Orit Zaslavsky and published by Springer Science & Business Media. This book was released on 2011-04-11 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teacher education seeks to transform prospective and/or practicing teachers from neophyte possibly uncritical perspectives on teaching and learning to more knowledgeable, adaptable, analytic, insightful, observant, resourceful, reflective and confident professionals ready to address whatever challenges teaching secondary mathematics presents. This transformation occurs optimally through constructive engagement in tasks that foster knowledge for teaching secondary mathematics. Ideally such tasks provide a bridge between theory and practice, and challenge, surprise, disturb, confront, extend, or provoke examination of alternatives, drawn from the context of teaching. We define tasks as the problems or activities that, having been developed, evaluated and refined over time, are posed to teacher education participants. Such participants are expected to engage in these tasks collaboratively, energetically, and intellectually with an open mind and an orientation to future practice. The tasks might be similar to those used by classroom teachers (e.g., the analysis of a graphing problem) or idiosyncratic to teacher education (e.g., critique of videotaped practice). This edited volume includes chapters based around unifying themes of tasks used in secondary mathematics teacher education. These themes reflect goals for mathematics teacher education, and are closely related to various aspects of knowledge required for teaching secondary mathematics. They are not based on the conventional content topics of teacher education (e.g., decimals, grouping practices), but on broad goals such as adaptability, identifying similarities, productive disposition, overcoming barriers, micro simulations, choosing tools, and study of practice. This approach is innovative and appeals both to prominent authors and to our target audiences.
Download or read book Mathematical Knowledge and the Interplay of Practices written by José Ferreirós and published by Princeton University Press. This book was released on 2015-12-22 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a new approach to the epistemology of mathematics by viewing mathematics as a human activity whose knowledge is intimately linked with practice. Charting an exciting new direction in the philosophy of mathematics, José Ferreirós uses the crucial idea of a continuum to provide an account of the development of mathematical knowledge that reflects the actual experience of doing math and makes sense of the perceived objectivity of mathematical results. Describing a historically oriented, agent-based philosophy of mathematics, Ferreirós shows how the mathematical tradition evolved from Euclidean geometry to the real numbers and set-theoretic structures. He argues for the need to take into account a whole web of mathematical and other practices that are learned and linked by agents, and whose interplay acts as a constraint. Ferreirós demonstrates how advanced mathematics, far from being a priori, is based on hypotheses, in contrast to elementary math, which has strong cognitive and practical roots and therefore enjoys certainty. Offering a wealth of philosophical and historical insights, Mathematical Knowledge and the Interplay of Practices challenges us to rethink some of our most basic assumptions about mathematics, its objectivity, and its relationship to culture and science.
Download or read book Theorizing and Measuring Affect in Mathematics Teaching and Learning written by Chiara Andrà and published by Springer Nature. This book was released on 2021-01-23 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a literature review of and a state-of-the-art glimpse into current research on affect-related aspects of teaching and learning in and beyond mathematics classrooms. Then, research presented at the MAVI 25 Conference, which took place in Intra (Italy) in June 2019, is grouped in thematic strands that capture cutting-edge issues related to affective components of learning and teaching mathematics. The concluding chapter summarises the main messages and sketches future directions for research on affect in mathematics education. The book is intended for researchers in mathematics education and especially graduate students and PhD candidates who are interested in emotions, attitudes, motivations, beliefs, needs and values in mathematics education.
