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Author : Naďa Stehlíková
Publisher : Nada Stehlikova
ISBN 13 : 8072901729
Total Pages : 251 pages
Book Rating : 4.0/5 (729 download)
Download or read book Structural understanding in advanced mathematical thinking written by Naďa Stehlíková and published by Nada Stehlikova. This book was released on 2004 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Tall
Publisher : Springer Science & Business Media
ISBN 13 : 0306472031
Total Pages : 298 pages
Book Rating : 4.3/5 (64 download)
Download or read book Advanced Mathematical Thinking written by David Tall and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first major study of advanced mathematical thinking as performed by mathematicians and taught to students in senior high school and university. Topics covered include the psychology of advanced mathematical thinking, the processes involved, mathematical creativity, proof, the role of definitions, symbols, and reflective abstraction. It is highly appropriate for the college professor in mathematics or the general mathematics educator.
Author : Werner Blum
Publisher : Springer
ISBN 13 : 3030055140
Total Pages : 215 pages
Book Rating : 4.0/5 (3 download)
Download or read book European Traditions in Didactics of Mathematics written by Werner Blum and published by Springer. This book was released on 2019-02-18 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book discusses several didactic traditions in mathematics education in countries across Europe, including France, the Netherlands, Italy, Germany, the Czech and Slovakian Republics, and the Scandinavian states. It shows that while they all share common features both in the practice of learning and teaching at school and in research and development, they each have special features due to specific historical and cultural developments. The book also presents interesting historical facts about these didactic traditions, the theories and examples developed in these countries.
Author : Annie Selden
Publisher : Routledge
ISBN 13 : 1135478384
Total Pages : 76 pages
Book Rating : 4.1/5 (354 download)
Download or read book Advanced Mathematical Thinking written by Annie Selden and published by Routledge. This book was released on 2013-10-15 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is Volume 7, Issue 1 2005, a Special Issue of 'Mathematical Thinking and Learning' which looks at Advanced Mathematical Thinking. Opening with a brief history of attempts to characterize advanced mathematical thinking, beginning with the deliberations of the Advanced Mathematical Thinking Working Group of the International Group for the Psychology of Mathematics Education. The articles follow the recurring themes: (a) the distinction between identifying kinds of thinking that might be regarded as advanced at any grade level and taking as advanced any thinking about mathematical topics considered advanced; (b) the utility of characterizing such thinking for integrating the entire curriculum; (c) general tests, or criteria, for identifying advanced mathematical thinking; and (d) an emphasis on advancing mathematical practices.
Author : YOUSEF METHKAL ABD ALGANI
Publisher : Book Rivers
ISBN 13 : 9355151632
Total Pages : 180 pages
Book Rating : 4.3/5 (551 download)
Download or read book IMPORTANT ISSUES IN MATHEMATICS TEACHING written by YOUSEF METHKAL ABD ALGANI and published by Book Rivers. This book was released on 2022-03-06 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dina Tirosh
Publisher : Springer Science & Business Media
ISBN 13 : 940171584X
Total Pages : 264 pages
Book Rating : 4.4/5 (17 download)
Download or read book Forms of Mathematical Knowledge written by Dina Tirosh and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: What mathematics is entailed in knowing to act in a moment? Is tacit, rhetorical knowledge significant in mathematics education? What is the role of intuitive models in understanding, learning and teaching mathematics? Are there differences between elementary and advanced mathematical thinking? Why can't students prove? What are the characteristics of teachers' ways of knowing? This book focuses on various types of knowledge that are significant for learning and teaching mathematics. The first part defines, discusses and contrasts psychological, philosophical and didactical issues related to various types of knowledge involved in the learning of mathematics. The second part describes ideas about forms of mathematical knowledge that are important for teachers to know and ways of implementing such ideas in preservice and in-service education. The chapters provide a wide overview of current thinking about mathematics learning and teaching which is of interest for researchers in mathematics education and mathematics educators. Topics covered include the role of intuition in mathematics learning and teaching, the growth from elementary to advanced mathematical thinking, the significance of genres and rhetoric for the learning of mathematics and the characterization of teachers' ways of knowing.
Author : Francis Su
Publisher : Yale University Press
ISBN 13 : 0300237138
Total Pages : 287 pages
Book Rating : 4.3/5 (2 download)
Download or read book Mathematics for Human Flourishing written by Francis Su and published by Yale University Press. This book was released on 2020-01-07 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The ancient Greeks argued that the best life was filled with beauty, truth, justice, play and love. The mathematician Francis Su knows just where to find them."--Kevin Hartnett, Quanta Magazine" This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart."--James Tanton, Global Math Project For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity's most beautiful ideas. In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award-winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires--such as for play, beauty, freedom, justice, and love--and cultivates virtues essential for human flourishing. These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother's, and Christopher Jackson, who discovered mathematics as an inmate in a federal prison. Christopher's letters to the author appear throughout the book and show how this intellectual pursuit can--and must--be open to all.
Author : Yusof, Khairiyah Mohd
Publisher : IGI Global
ISBN 13 : 1466618108
Total Pages : 442 pages
Book Rating : 4.4/5 (666 download)
Download or read book Outcome-Based Science, Technology, Engineering, and Mathematics Education: Innovative Practices written by Yusof, Khairiyah Mohd and published by IGI Global. This book was released on 2012-06-30 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book provides insights into initiatives that enhance student learning and contribute to improving the quality of undergraduate STEM education"--Provided by publisher.
Author : Keith J. Devlin
Publisher :
ISBN 13 : 9780615653631
Total Pages : 0 pages
Book Rating : 4.6/5 (536 download)
Download or read book Introduction to Mathematical Thinking written by Keith J. Devlin and published by . This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Mathematical thinking is not the same as 'doing math'--unless you are a professional mathematician. For most people, 'doing math' means the application of procedures and symbolic manipulations. Mathematical thinking, in contrast, is what the name reflects, a way of thinking about things in the world that humans have developed over three thousand years. It does not have to be about mathematics at all, which means that many people can benefit from learning this powerful way of thinking, not just mathematicians and scientists."--Back cover.
Author : James T. Kinard
Publisher : Cambridge University Press
ISBN 13 : 1139472399
Total Pages : 210 pages
Book Rating : 4.1/5 (394 download)
Download or read book Rigorous Mathematical Thinking written by James T. Kinard and published by Cambridge University Press. This book was released on 2008-06-02 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book demonstrates how rigorous mathematical thinking can be fostered through the development of students' cognitive tools and operations. This approach seems to be particularly effective with socially disadvantaged and culturally different students. The authors argue that children's cognitive functions cannot be viewed as following a natural maturational path: they should be actively constructed during the educational process. The Rigorous Mathematical Thinking (RMT) model is based on two major theoretical approaches – Vygotsky's theory of psychological tools and Feuerstein's concept of mediated learning experience. The book starts with general cognitive tools that are essential for all types of problem solving and then moves to mathematically specific cognitive tools and methods for utilizing these tools for mathematical conceptual formation. The application of the RMT model in various urban classrooms demonstrates how mathematics education standards can be reached even by the students with a history of educational failure who were considered hopeless underachievers.
Author : David Tall
Publisher : Cambridge University Press
ISBN 13 : 1107035708
Total Pages : 483 pages
Book Rating : 4.1/5 (7 download)
Download or read book How Humans Learn to Think Mathematically written by David Tall and published by Cambridge University Press. This book was released on 2013-09-02 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: How Humans Learn to Think Mathematically describes the development of mathematical thinking from the young child to the sophisticated adult. Professor David Tall reveals the reasons why mathematical concepts that make sense in one context may become problematic in another. For example, a child's experience of whole number arithmetic successively affects subsequent understanding of fractions, negative numbers, algebra, and the introduction of definitions and proof. Tall's explanations for these developments are accessible to a general audience while encouraging specialists to relate their areas of expertise to the full range of mathematical thinking. The book offers a comprehensive framework for understanding mathematical growth, from practical beginnings through theoretical developments, to the continuing evolution of mathematical thinking at the highest level.
Author : Marilyn Paula Carlson
Publisher : MAA
ISBN 13 : 9780883851838
Total Pages : 340 pages
Book Rating : 4.8/5 (518 download)
Download or read book Making the Connection written by Marilyn Paula Carlson and published by MAA. This book was released on 2008 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: The chapters in this volume convey insights from mathematics education research that have direct implications for anyone interested in improving teaching and learning in undergraduate mathematics. This synthesis of research on learning and teaching mathematics provides relevant information for any math department or individual faculty member who is working to improve introductory proof courses, the longitudinal coherence of precalculus through differential equations, students' mathematical thinking and problem-solving abilities, and students' understanding of fundamental ideas such as variable and rate of change. Other chapters include information about programs that have been successful in supporting students' continued study of mathematics. The authors provide many examples and ideas to help the reader infuse the knowledge from mathematics education research into mathematics teaching practice. University mathematicians and community college faculty spend much of their time engaged in work to improve their teaching. Frequently, they are left to their own experiences and informal conversations with colleagues to develop new approaches to support student learning and their continuation in mathematics. Over the past 30 years, research in undergraduate mathematics education has produced knowledge about the development of mathematical understandings and models for supporting students' mathematical learning. Currently, very little of this knowledge is affecting teaching practice. We hope that this volume will open a meaningful dialogue between researchers and practitioners toward the goal of realizing improvements in undergraduate mathematics curriculum and instruction.
Author : Lyn D. English
Publisher : Routledge
ISBN 13 : 1135192839
Total Pages : 830 pages
Book Rating : 4.1/5 (351 download)
Download or read book Handbook of International Research in Mathematics Education written by Lyn D. English and published by Routledge. This book was released on 2010-04-02 with total page 830 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition continues the mission of bringing together important new mathematics education research that makes a difference in both theory and practice. It updates and extends the Handbook’s original key themes and issues for international research in mathematics education for the 21st century, namely: priorities in international mathematics education research lifelong democratic access to powerful mathematical ideas advances in research methodologies influences of advanced technologies. Each of these themes is examined in terms of learners, teachers, and learning contexts, with theory development being an important component of all these aspects. This edition also examines other catalysts that have gained increased import in recent years including a stronger focus on the teacher and teacher practice, a renewed interest in theory development, an increased focus on the mathematics needed in work place settings, and a proliferation of research designs and methodologies that have provided unprecedented opportunities for investigating (and ultimately improving) mathematical teaching and learning. This edition includes ten totally new chapters; all other chapters are thoroughly revised and updated.
Author : M.A. (Ken) Clements
Publisher : Springer Science & Business Media
ISBN 13 : 1461446848
Total Pages : 1119 pages
Book Rating : 4.4/5 (614 download)
Download or read book Third International Handbook of Mathematics Education written by M.A. (Ken) Clements and published by Springer Science & Business Media. This book was released on 2012-11-15 with total page 1119 pages. Available in PDF, EPUB and Kindle. Book excerpt: The four sections in this Third International Handbook are concerned with: (a) social, political and cultural dimensions in mathematics education; (b) mathematics education as a field of study; (c) technology in the mathematics curriculum; and (d) international perspectives on mathematics education. These themes are taken up by 84 internationally-recognized scholars, based in 26 different nations. Each of section is structured on the basis of past, present and future aspects. The first chapter in a section provides historical perspectives (“How did we get to where we are now?”); the middle chapters in a section analyze present-day key issues and themes (“Where are we now, and what recent events have been especially significant?”); and the final chapter in a section reflects on policy matters (“Where are we going, and what should we do?”). Readership: Teachers, mathematics educators, ed.policy makers, mathematicians, graduate students, undergraduate students. Large set of authoritative, international authors.
Author : Teresa Rojano
Publisher : Taylor & Francis
ISBN 13 : 1000591506
Total Pages : 199 pages
Book Rating : 4.0/5 (5 download)
Download or read book Algebra Structure Sense Development amongst Diverse Learners written by Teresa Rojano and published by Taylor & Francis. This book was released on 2022-06-07 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume emphasizes the role of effective curriculum design, teaching materials, and pedagogy to foster algebra structure sense at different educational levels. Positing algebra structure sense as fundamental to developing students’ broader mathematical maturity and advanced thinking, this text reviews conceptual, historical, cognitive, and semiotic factors, which influence the acquisition of algebra structure sense. It provides empirical evidence to demonstrate the feasibility of linking algebra structure sense to technological tools and promoting it amongst diverse learners. Didactic approaches include the use of adaptive digital environments, gamification, diagnostic and monitoring tools, as well as exercises and algebraic sequences of varied complexity. Advocating for a focus on both intuitive and formal knowledge, this volume will be of interest to students, scholars, and researchers with an interest in educational research, as well as mathematics education and numeracy.
Author : Claire Mooney
Publisher : SAGE
ISBN 13 : 1844454231
Total Pages : 156 pages
Book Rating : 4.8/5 (444 download)
Download or read book Primary Mathematics: Knowledge and Understanding written by Claire Mooney and published by SAGE. This book was released on 2009-05-27 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: A secure knowledge of primary mathematics is essential for the trainee teacher. Clear subject knowledge and understanding is the foundation of confident, creative and effective teaching. Written to help trainee primary teachers develop and consolidate their knowledge of mathematics, this fourth edition has been completely revised and updated. The text is structured around the current curriculum and incorporates the Primary National Strategy. All content is linked to the 2007 QTS Standards and new links are made to the Early Years Foundation Stage.
Author :
Publisher : BRILL
ISBN 13 : 9460910319
Total Pages : 241 pages
Book Rating : 4.4/5 (69 download)
Download or read book Mathematical Action & Structures of Noticing written by and published by BRILL. This book was released on 2009-01-01 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: John Mason has been a prominent figure in the research field of mathematics education for several decades. His principal focus has been thinking about mathematical problems, supporting those who wish to foster and sustain their own thinking and the thinking of others.
