Author: John Stillwell
Publisher: Springer Nature
ISBN: 3030551938
Category : Mathematics
Languages : en
Pages : 405
Book Description
This textbook provides a unified and concise exploration of undergraduate mathematics by approaching the subject through its history. Readers will discover the rich tapestry of ideas behind familiar topics from the undergraduate curriculum, such as calculus, algebra, topology, and more. Featuring historical episodes ranging from the Ancient Greeks to Fermat and Descartes, this volume offers a glimpse into the broader context in which these ideas developed, revealing unexpected connections that make this ideal for a senior capstone course. The presentation of previous versions has been refined by omitting the less mainstream topics and inserting new connecting material, allowing instructors to cover the book in a one-semester course. This condensed edition prioritizes succinctness and cohesiveness, and there is a greater emphasis on visual clarity, featuring full color images and high quality 3D models. As in previous editions, a wide array of mathematical topics are covered, from geometry to computation; however, biographical sketches have been omitted. Mathematics and Its History: A Concise Edition is an essential resource for courses or reading programs on the history of mathematics. Knowledge of basic calculus, algebra, geometry, topology, and set theory is assumed. From reviews of previous editions: “Mathematics and Its History is a joy to read. The writing is clear, concise and inviting. The style is very different from a traditional text. I found myself picking it up to read at the expense of my usual late evening thriller or detective novel.... The author has done a wonderful job of tying together the dominant themes of undergraduate mathematics.” Richard J. Wilders, MAA, on the Third Edition "The book...is presented in a lively style without unnecessary detail. It is very stimulating and will be appreciated not only by students. Much attention is paid to problems and to the development of mathematics before the end of the nineteenth century.... This book brings to the non-specialist interested in mathematics many interesting results. It can be recommended for seminars and will be enjoyed by the broad mathematical community." European Mathematical Society, on the Second Edition
Mathematics and Its History
Author: John Stillwell
Publisher: Springer Nature
ISBN: 3030551938
Category : Mathematics
Languages : en
Pages : 405
Book Description
This textbook provides a unified and concise exploration of undergraduate mathematics by approaching the subject through its history. Readers will discover the rich tapestry of ideas behind familiar topics from the undergraduate curriculum, such as calculus, algebra, topology, and more. Featuring historical episodes ranging from the Ancient Greeks to Fermat and Descartes, this volume offers a glimpse into the broader context in which these ideas developed, revealing unexpected connections that make this ideal for a senior capstone course. The presentation of previous versions has been refined by omitting the less mainstream topics and inserting new connecting material, allowing instructors to cover the book in a one-semester course. This condensed edition prioritizes succinctness and cohesiveness, and there is a greater emphasis on visual clarity, featuring full color images and high quality 3D models. As in previous editions, a wide array of mathematical topics are covered, from geometry to computation; however, biographical sketches have been omitted. Mathematics and Its History: A Concise Edition is an essential resource for courses or reading programs on the history of mathematics. Knowledge of basic calculus, algebra, geometry, topology, and set theory is assumed. From reviews of previous editions: “Mathematics and Its History is a joy to read. The writing is clear, concise and inviting. The style is very different from a traditional text. I found myself picking it up to read at the expense of my usual late evening thriller or detective novel.... The author has done a wonderful job of tying together the dominant themes of undergraduate mathematics.” Richard J. Wilders, MAA, on the Third Edition "The book...is presented in a lively style without unnecessary detail. It is very stimulating and will be appreciated not only by students. Much attention is paid to problems and to the development of mathematics before the end of the nineteenth century.... This book brings to the non-specialist interested in mathematics many interesting results. It can be recommended for seminars and will be enjoyed by the broad mathematical community." European Mathematical Society, on the Second Edition
Publisher: Springer Nature
ISBN: 3030551938
Category : Mathematics
Languages : en
Pages : 405
Book Description
This textbook provides a unified and concise exploration of undergraduate mathematics by approaching the subject through its history. Readers will discover the rich tapestry of ideas behind familiar topics from the undergraduate curriculum, such as calculus, algebra, topology, and more. Featuring historical episodes ranging from the Ancient Greeks to Fermat and Descartes, this volume offers a glimpse into the broader context in which these ideas developed, revealing unexpected connections that make this ideal for a senior capstone course. The presentation of previous versions has been refined by omitting the less mainstream topics and inserting new connecting material, allowing instructors to cover the book in a one-semester course. This condensed edition prioritizes succinctness and cohesiveness, and there is a greater emphasis on visual clarity, featuring full color images and high quality 3D models. As in previous editions, a wide array of mathematical topics are covered, from geometry to computation; however, biographical sketches have been omitted. Mathematics and Its History: A Concise Edition is an essential resource for courses or reading programs on the history of mathematics. Knowledge of basic calculus, algebra, geometry, topology, and set theory is assumed. From reviews of previous editions: “Mathematics and Its History is a joy to read. The writing is clear, concise and inviting. The style is very different from a traditional text. I found myself picking it up to read at the expense of my usual late evening thriller or detective novel.... The author has done a wonderful job of tying together the dominant themes of undergraduate mathematics.” Richard J. Wilders, MAA, on the Third Edition "The book...is presented in a lively style without unnecessary detail. It is very stimulating and will be appreciated not only by students. Much attention is paid to problems and to the development of mathematics before the end of the nineteenth century.... This book brings to the non-specialist interested in mathematics many interesting results. It can be recommended for seminars and will be enjoyed by the broad mathematical community." European Mathematical Society, on the Second Edition
Mathematics, Education and History
Author: Kathleen M. Clark
Publisher: Springer
ISBN: 3319739247
Category : Education
Languages : en
Pages : 389
Book Description
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.
Publisher: Springer
ISBN: 3319739247
Category : Education
Languages : en
Pages : 389
Book Description
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.
Teaching Mathematics Through Problem Solving
Author: Frank K. Lester
Publisher: National Council of Teachers of
ISBN: 9780873535403
Category : Mathematics
Languages : en
Pages : 0
Book Description
The main goal of the `teaching mathematics through problem solving' approach is to help students develop a deep understanding of mathematical concepts and methods by engaging them in trying to make sense of problematic tasks in which the mathematics to be
Publisher: National Council of Teachers of
ISBN: 9780873535403
Category : Mathematics
Languages : en
Pages : 0
Book Description
The main goal of the `teaching mathematics through problem solving' approach is to help students develop a deep understanding of mathematical concepts and methods by engaging them in trying to make sense of problematic tasks in which the mathematics to be
Rethinking Mathematics
Author: Eric Gutstein
Publisher: Rethinking Schools
ISBN: 0942961544
Category : Mathematics
Languages : en
Pages : 192
Book Description
In this unique collection, more than 30 articles show how to weave social justice issues throughout the mathematics curriculum, as well as how to integrate mathematics into other curricular areas. Rethinking Mathematics offers teaching ideas, lesson plans, and reflections by practitioners and mathematics educators. This is real-world math-math that helps students analyze problems as they gain essential academic skills. This book offers hope and guidance for teachers to enliven and strengthen their math teaching. It will deepen students' understanding of society and help prepare them to be critical, active participants in a democracy. Blending theory and practice, this is the only resource of its kind.
Publisher: Rethinking Schools
ISBN: 0942961544
Category : Mathematics
Languages : en
Pages : 192
Book Description
In this unique collection, more than 30 articles show how to weave social justice issues throughout the mathematics curriculum, as well as how to integrate mathematics into other curricular areas. Rethinking Mathematics offers teaching ideas, lesson plans, and reflections by practitioners and mathematics educators. This is real-world math-math that helps students analyze problems as they gain essential academic skills. This book offers hope and guidance for teachers to enliven and strengthen their math teaching. It will deepen students' understanding of society and help prepare them to be critical, active participants in a democracy. Blending theory and practice, this is the only resource of its kind.
Teaching Mathematics in the Primary School
Author: Gill Bottle
Publisher: A&C Black
ISBN: 0826472591
Category : Education
Languages : en
Pages : 220
Book Description
Numerous examples from early years and primary classrooms are included as well as checklists and helpful advice. There are also suggestions for further reading to assist trainee and newly qualified teachers in meeting the Standards for Initial Teacher Training and Induction.
Publisher: A&C Black
ISBN: 0826472591
Category : Education
Languages : en
Pages : 220
Book Description
Numerous examples from early years and primary classrooms are included as well as checklists and helpful advice. There are also suggestions for further reading to assist trainee and newly qualified teachers in meeting the Standards for Initial Teacher Training and Induction.
Hands on History
Author: Amy Shell-Gellasch
Publisher: MAA
ISBN: 0883851822
Category : Education
Languages : en
Pages : 191
Book Description
In an increasingly electronic society, these exercises are designed to help school and collegiate educators use historical devices of mathematics to balance the digital side of mathematics.
Publisher: MAA
ISBN: 0883851822
Category : Education
Languages : en
Pages : 191
Book Description
In an increasingly electronic society, these exercises are designed to help school and collegiate educators use historical devices of mathematics to balance the digital side of mathematics.
History in Mathematics Education
Author: John Fauvel
Publisher: Springer Science & Business Media
ISBN: 0306472201
Category : Education
Languages : en
Pages : 456
Book Description
This ground-breaking book investigates how the learning and teaching of mathematics can be improved through integrating the history of mathematics into all aspects of mathematics education: lessons, homework, texts, lectures, projects, assessment, and curricula. It draws upon evidence from the experience of teachers as well as national curricula, textbooks, teacher education practices, and research perspectives across the world. It includes a 300-item annotated bibliography of recent work in the field in eight languages.
Publisher: Springer Science & Business Media
ISBN: 0306472201
Category : Education
Languages : en
Pages : 456
Book Description
This ground-breaking book investigates how the learning and teaching of mathematics can be improved through integrating the history of mathematics into all aspects of mathematics education: lessons, homework, texts, lectures, projects, assessment, and curricula. It draws upon evidence from the experience of teachers as well as national curricula, textbooks, teacher education practices, and research perspectives across the world. It includes a 300-item annotated bibliography of recent work in the field in eight languages.
The Teaching Gap
Author: James W. Stigler
Publisher: Simon and Schuster
ISBN: 1439143137
Category : Education
Languages : en
Pages : 259
Book Description
A revised edition of a popular resource builds on the authors' findings that key problems in teaching methods are causing America to lag behind international academic standards, outlining a program for administrators, instructors, and parents that incorporates solutions based on current research. Reprint.
Publisher: Simon and Schuster
ISBN: 1439143137
Category : Education
Languages : en
Pages : 259
Book Description
A revised edition of a popular resource builds on the authors' findings that key problems in teaching methods are causing America to lag behind international academic standards, outlining a program for administrators, instructors, and parents that incorporates solutions based on current research. Reprint.
Researching the History of Mathematics Education
Author: Fulvia Furinghetti
Publisher: Springer
ISBN: 3319682946
Category : Education
Languages : en
Pages : 323
Book Description
This book offers insights into the history of mathematics education, covering both the current state of the art of research and the methodology of the field. History of mathematics education is treated in the book as a part of social history. This book grew out of the presentations delivered at the International Congress on Mathematics Education in Hamburg. Modern development and growing internationalization of mathematics education made it clear that many urgent questions benefit from a historical approach. The chapters present viewpoints from the following countries: Belgium, Brazil, Cambodia, China, Cyprus, Germany, Iceland, Italy, the Netherlands, Russia,Spain and Sweden. Each chapter represents significant directions of historical studies. The book is a valuable source for every historian of mathematics education and those interested in mathematics education and its development.
Publisher: Springer
ISBN: 3319682946
Category : Education
Languages : en
Pages : 323
Book Description
This book offers insights into the history of mathematics education, covering both the current state of the art of research and the methodology of the field. History of mathematics education is treated in the book as a part of social history. This book grew out of the presentations delivered at the International Congress on Mathematics Education in Hamburg. Modern development and growing internationalization of mathematics education made it clear that many urgent questions benefit from a historical approach. The chapters present viewpoints from the following countries: Belgium, Brazil, Cambodia, China, Cyprus, Germany, Iceland, Italy, the Netherlands, Russia,Spain and Sweden. Each chapter represents significant directions of historical studies. The book is a valuable source for every historian of mathematics education and those interested in mathematics education and its development.
A History of School Mathematics
Author: George M. A. Stanic
Publisher: National Council of Teachers of English
ISBN:
Category : Mathematics
Languages : en
Pages : 920
Book Description
"Written by those who played leading roles in school mathematics, trained historians, and mathematics educators, this two-volume historical record of mathematics education in the United States and Canada serves not only as a partial guide to present actions but as a tool to better understand who we are. The first volume, organized in a roughly chronological manner, takes readers from the mathematics of the nineteenth century through the late-twentieth century. Themes discussed in the second volume include instructional materials, students and teachers, assessment, and the role of the government in mathematics education. Additional chapters bring an international perspective to the history."
Publisher: National Council of Teachers of English
ISBN:
Category : Mathematics
Languages : en
Pages : 920
Book Description
"Written by those who played leading roles in school mathematics, trained historians, and mathematics educators, this two-volume historical record of mathematics education in the United States and Canada serves not only as a partial guide to present actions but as a tool to better understand who we are. The first volume, organized in a roughly chronological manner, takes readers from the mathematics of the nineteenth century through the late-twentieth century. Themes discussed in the second volume include instructional materials, students and teachers, assessment, and the role of the government in mathematics education. Additional chapters bring an international perspective to the history."