Using History To Teach Mathematics
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Using History To Teach Mathematics
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Author : Victor J. Katz
language : en
Publisher: Cambridge University Press
Release Date : 2000-09-21
Using History To Teach Mathematics written by Victor J. Katz and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-09-21 with Education categories.
This volume examines how the history of mathematics can find application in the teaching of mathematics itself.
The Role Of The History Of Mathematics In The Teaching Learning Process
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Author : Sixto Romero Sanchez
language : en
Publisher: Springer Nature
Release Date : 2023-06-15
The Role Of The History Of Mathematics In The Teaching Learning Process written by Sixto Romero Sanchez and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-15 with Education categories.
This volume presents multiple perspectives on the uses of the history of mathematics for teaching and learning, including the value of historical topics in challenging mathematics tasks, for provoking teachers’ reflection on the nature of mathematics, curriculum development questions that mirror earlier pedagogical choices in the history of mathematics education, and the history of technological innovations in the teaching and learning of mathematics. An ethnomathematical perspective on the history of mathematics challenges readers to appreciate the role of mathematics in perpetuating consequences of colonialism. Histories of the textbook and its uses offer interesting insights into how technology has changed the fundamental role of curriculum materials and classroom pedagogies. History is explored as a source for the training of teachers, for good puzzles and problems, and for a broad understanding of mathematics education policy. Third in a series of sourcebooks from the International Commission for the Study and Improvement of Mathematics Teaching, this collection of cutting-edge research, stories from the field, and policy implications is a contemporary and global perspective on current possibilities for the history of mathematics for mathematics education. This latest volume integrates discussions regarding history of mathematics, history of mathematics education and history of technology for education that have taken place at the Commission's recent annual conferences.
Teaching Mathematics With Classroom Voting
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Author : Kelly Slater Cline
language : en
Publisher: MAA
Release Date : 2011
Teaching Mathematics With Classroom Voting written by Kelly Slater Cline and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
Are you looking for new ways to engage your students? Classroom voting can be a powerful way to enliven your classroom, by requiring all students to consider a question, discuss it with their peers, and vote on the answer during class. When used in the right way, students engage more deeply with the material, and have fun in the process, while you get valuable feedback when you see how they voted. But what are the best strategies to integrate voting into your lesson plans? How do you teach the full curriculum while including these voting events? How do you find the right questions for your students? This collection includes papers from faculty at institutions across the country, teaching a broad range of courses with classroom voting, including college algebra, precalculus, calculus, statistics, linear algebra, differential equations, and beyond. These faculty share their experiences and explain how they have used classroom voting to engage students, to provoke discussions, and to improve how they teach mathematics. This volume should be of interest to anyone who wants to begin using classroom voting as well as people who are already using it but would like to know what others are doing. While the authors are primarily college-level faculty, many of the papers could also be of interest to high school mathematics teachers. --Publisher description.
How Chinese Teach Mathematics
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Author : Lianghuo Fan
language : en
Publisher: World Scientific
Release Date : 2015-03-13
How Chinese Teach Mathematics written by Lianghuo Fan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-13 with Mathematics categories.
This unique book represents another concerted research effort concerning Chinese mathematics education, with contributions from the world's leading scholars and most active researchers. The book presents the latest original research work with a particular focus on the "teaching" side of Chinese mathematics education to a wide international audience. There are mainly three sections in the book. The first section introduces readers to a historical and contemporary perspective, respectively, on traditional mathematical teaching in ancient China and on how modern Chinese mathematics teachers teach and pursue their pre-service training and in-service professional development. The second section presents studies investigating a wide range of issues at both the macro- and micro-levels on how Chinese mathematics teachers teach mathematics. The third section focuses on Chinese mathematics teachers, investigating issues about their knowledge, belief, teacher training and professional development. Like its predecessor, "How Chinese Learn Mathematics: Perspectives from Insiders," this book is a must for educational researchers, practitioners, and policy-makers who are interested in knowing more about mathematics teaching, teachers, teacher education and professional development concerning Chinese teachers and learners.Contents: Focusing on Chinese Mathematics Teaching, Teachers and Teacher Education: An Introduction"Historical and Contemporary Perspectives: "The Wisdom of Traditional Mathematical Teaching in China "(DAI Qin and CHEUNG Ka Luen)" How Chinese Teachers Teach Mathematics and Pursue Professional Development: Perspectives from ContemporaryInternational Research "(FAN Lianghuo, MIAO Zhenzhen and MOK Ah Chee Ida)" "Understanding the Chinese Ways of Teaching Mathematics: " Mathematics Teaching in a Chinese Classroom: A Hybrid-Model Analysis of Opportunities for Students' Learning "(HUANG Rongjin, MILLER L Diane and TZUR Ron)"Achieving Coherence in the Mathematics Classroom: Toward a Framework for Examining Instructional Coherence "(WANG Tao, CAI Jinfa and HWANG Stephen)" Elementary School Teachers' Instruction in Measurement: Cases of Classroom Teaching of Spatial Measurement in Taiwan "(HUANG Hsin-Mei E)" Pedagogical and Curriculum Potentials of Homework: A Case Study about Geometric Proofs in Shanghai "(FANG Yanping)" Teaching Calculation of Time Intervals: Comparing Mathematics Competence of Students in Macau, Hong Kong and the Netherlands "(LI Titus Siu Pang)" Teaching Number Sense via Interactive Multimedia in a Primary School in Taiwan "(YANG Der-Ching, CHEN Pei-Chieh, TSAI Yi Fang and HSIEH Tien-Yu)"Teaching Geometrical Theorems in Grade 8 Using the "Shen Tou" Method: A Case Study in Shanghai "(DING Liping, JONES Keith and ZHANG Dianzhou)" Implementation of Objectives Based on the Curriculum Standards: A Case of Teaching Using Letter to Represent Number at a Chinese Primary School in Chinese Mainland "(HUANG Xingfeng, YANG Jinglei and LI Shiqi)" Chinese Project-based Classroom Practices: Promoting Students' Engagement in Mathematical Activities "(XU Binyan and ZHU Guangtian)"A Large-Scale Video Survey on Taiwanese Fourth-Grade Classrooms of Mathematical Teaching Behaviors "(LEE Yuan-Shun and LIN Fou-Lai)" Features of Exemplary Lessons under the Curriculum Reform in Chinese Mainland: A Study of Thirteen Elementary Mathematics Lessons "(MA Yunpeng and ZHAO Dongchen)" Qingpu Mathematics Teaching Reform and Its Impact on Student Learning "(GU Lingyuan, YANG Yudong and HE Zhenzhen)""Chinese Mathematics Teachers, Teacher Educati
The First Sourcebook On Asian Research In Mathematics Education 2 Volumes
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Author : Bharath Sriraman
language : en
Publisher: IAP
Release Date : 2015-08-01
The First Sourcebook On Asian Research In Mathematics Education 2 Volumes written by Bharath Sriraman and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-01 with Education categories.
Mathematics and Science education have both grown in fertile directions in different geographic regions. Yet, the mainstream discourse in international handbooks does not lend voice to developments in cognition, curriculum, teacher development, assessment, policy and implementation of mathematics and science in many countries. Paradoxically, in spite of advances in information technology and the “flat earth” syndrome, old distinctions and biases between different groups of researcher’s persist. In addition limited accessibility to conferences and journals also contribute to this problem. The International Sourcebooks in Mathematics and Science Education focus on under-represented regions of the world and provides a platform for researchers to showcase their research and development in areas within mathematics and science education. The First Sourcebook on Asian Research in Mathematics Education: China, Korea, Singapore, Japan, Malaysia and India provides the first synthesized treatment of mathematics education that has both developed and is now prominently emerging in the Asian and South Asian world. The book is organized in sections coordinated by leaders in mathematics education in these countries and editorial teams for each country affiliated with them. The purpose of unique sourcebook is to both consolidate and survey the established body of research in these countries with findings that have influenced ongoing research agendas and informed practices in Europe, North America (and other countries) in addition to serving as a platform to showcase existing research that has shaped teacher education, curricula and policy in these Asian countries. The book will serve as a standard reference for mathematics education researchers, policy makers, practitioners and students both in and outside Asia, and complement the Nordic and NCTM perspectives.
International Handbook Of Research In History Philosophy And Science Teaching
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Author : Michael R. Matthews
language : en
Publisher: Springer
Release Date : 2014-07-03
International Handbook Of Research In History Philosophy And Science Teaching written by Michael R. Matthews and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-03 with Education categories.
This inaugural handbook documents the distinctive research field that utilizes history and philosophy in investigation of theoretical, curricular and pedagogical issues in the teaching of science and mathematics. It is contributed to by 130 researchers from 30 countries; it provides a logically structured, fully referenced guide to the ways in which science and mathematics education is, informed by the history and philosophy of these disciplines, as well as by the philosophy of education more generally. The first handbook to cover the field, it lays down a much-needed marker of progress to date and provides a platform for informed and coherent future analysis and research of the subject. The publication comes at a time of heightened worldwide concern over the standard of science and mathematics education, attended by fierce debate over how best to reform curricula and enliven student engagement in the subjects. There is a growing recognition among educators and policy makers that the learning of science must dovetail with learning about science; this handbook is uniquely positioned as a locus for the discussion. The handbook features sections on pedagogical, theoretical, national, and biographical research, setting the literature of each tradition in its historical context. It reminds readers at a crucial juncture that there has been a long and rich tradition of historical and philosophical engagements with science and mathematics teaching, and that lessons can be learnt from these engagements for the resolution of current theoretical, curricular and pedagogical questions that face teachers and administrators. Science educators will be grateful for this unique, encyclopaedic handbook, Gerald Holton, Physics Department, Harvard University This handbook gathers the fruits of over thirty years’ research by a growing international and cosmopolitan community Fabio Bevilacqua, Physics Department, University of Pavia
Mathematics Education And History
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Author : Kathleen M. Clark
language : en
Publisher: Springer
Release Date : 2018-03-30
Mathematics Education And History written by Kathleen M. Clark and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-30 with Education categories.
This book includes 18 peer-reviewed papers from nine countries, originally presented in a shorter form at TSG 25 The Role of History of Mathematics in Mathematics Education, as part of ICME-13 during. It also features an introductory chapter, by its co-editors, on the structure and main points of the book with an outline of recent developments in exploring the role of history and epistemology in mathematics education. It serves as a valuable contribution in this domain, by making reports on recent developments in this field available to the international educational community, with a special focus on relevant research results since 2000. The 18 chapters of the book are divided into five interrelated parts that underlie the central issues of research in this domain: 1. Theoretical and conceptual frameworks for integrating history and epistemology in mathematics in mathematics education; 2. Courses and didactical material: Design, implementation and evaluation; 3. Empirical investigations on implementing history and epistemology in mathematics education; 4. Original historical sources in teaching and learning of and about mathematics; 5. History and epistemology of mathematics: Interdisciplinary teaching and sociocultural aspects. This book covers all levels of education, from primary school to tertiary education, with a particular focus on teacher education. Additionally, each chapter refers to and/or is based on empirical research, in order to support, illuminate, clarify and evaluate key issues, main questions, and conjectured theses raised by the authors or in the literature on the basis of historical-epistemological or didactical-cognitive arguments.
History And Epistemology In Mathematics Education
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Author : Évelyne Barbin
language : en
Publisher: Springer Nature
Release Date : 2025-06-12
History And Epistemology In Mathematics Education written by Évelyne Barbin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-12 with Mathematics categories.
This book explores the evolving relationship between the history and epistemology of mathematics and mathematics education over the past fifty years. Beginning with the international movement that emerged in the 1970s, it celebrates the enduring and expanding role of historical and epistemological perspectives in shaping teaching practices. Organized into seven thematic sections, the volume examines core issues such as how historical and epistemological insights enhance understanding of mathematical concepts, interdisciplinarity as a tool for teaching, and innovative approaches to teacher training. It also delves into the use of historical problems, ancient texts, and textbooks as teaching resources, alongside an analysis of the social and political dimensions of mathematics education. Special attention is given to the impact of the "modern mathematics" reform and its legacy in rekindling interest in the history of mathematics in education. Featuring contributions from diverse geographical and historical contexts, this book is an essential resource for teachers, researchers, and anyone passionate about the rich interplay of history, epistemology, and mathematics.
Historical Modules For The Teaching And Learning Of Mathematics
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Author : Victor J. Katz
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-03-02
Historical Modules For The Teaching And Learning Of Mathematics written by Victor J. Katz and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-02 with Mathematics categories.
Contains 11 modules consist of a number of activities designed to demonstrate the use of the history of mathematics in the teaching of mathematics. Objectives of the Modules: To enable students to develop a much richer understanding of mathematics and its applications by viewing the same phenomena from multiple mathematical perspectives; To enable students to understand the historical background and connections among historical ideas leading to the development of mathematics; To enable students to see how mathematical concepts evolved over periods of time; To provide students with opportunities to apply their knowledge of mathematics to various concrete situations and problems in a historical context; To develop in students an appreciation of the history connected with the development of different mathematical concepts; To enable students to recognize and use connections among mathematical ideas; To enable students to understand how mathematical ideas interconnect and build on one another to produce a coherent whole; To lead students to recognize and apply mathematics in contexts outside of mathematics.--Publisher.
Crossroads In The History Of Mathematics And Mathematics Education
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Author : Bharath Sriraman
language : en
Publisher: IAP
Release Date : 2012-07-01
Crossroads In The History Of Mathematics And Mathematics Education written by Bharath Sriraman and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-01 with Education categories.
The interaction of the history of mathematics and mathematics education has long been construed as an esoteric area of inquiry. Much of the research done in this realm has been under the auspices of the history and pedagogy of mathematics group. However there is little systematization or consolidation of the existing literature aimed at undergraduate mathematics education, particularly in the teaching and learning of the history of mathematics and other undergraduate topics. In this monograph, the chapters cover topics such as the development of Calculus through the actuarial sciences and map making, logarithms, the people and practices behind real world mathematics, and fruitful ways in which the history of mathematics informs mathematics education. The book is meant to serve as a source of enrichment for undergraduate mathematics majors and for mathematics education courses aimed at teachers.