The Learning And Teaching Of Calculus
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The Learning And Teaching Of Calculus
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Author : John Monaghan
language : en
Publisher: Taylor & Francis
Release Date : 2023-09-05
The Learning And Teaching Of Calculus written by John Monaghan and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-05 with Education categories.
This book is for people who teach calculus – and especially for people who teach student teachers, who will in turn teach calculus. The calculus considered is elementary calculus of a single variable. The book interweaves ideas for teaching with calculus content and provides a reader-friendly overview of research on learning and teaching calculus along with questions on educational and mathematical discussion topics. Written by a group of international authors with extensive experience in teaching and research on learning/teaching calculus both at the school and university levels, the book offers a variety of approaches to the teaching of calculus so that you can decide the approach for you. Topics covered include A history of calculus and how calculus differs over countries today Making sense of limits and continuity, differentiation, integration and the fundamental theorem of calculus (chapters on these areas form the bulk of the book) The ordering of calculus concepts (should limits come first?) Applications of calculus (including differential equations) The final chapter looks beyond elementary calculus. Recurring themes across chapters include whether to take a limit or a differential/infinitesimal approach to calculus and the use of digital technology in the learning and teaching of calculus. This book is essential reading for mathematics teacher trainers everywhere.
Teaching And Learning Of Calculus
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Author : David Bressoud
language : en
Publisher: Springer
Release Date : 2016-06-14
Teaching And Learning Of Calculus written by David Bressoud and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-14 with Education categories.
This survey focuses on the main trends in the field of calculus education. Despite their variety, the findings reveal a cornerstone issue that is strongly linked to the formalism of calculus concepts and to the difficulties it generates in the learning and teaching process. As a complement to the main text, an extended bibliography with some of the most important references on this topic is included. Since the diversity of the research in the field makes it difficult to produce an exhaustive state-of-the-art summary, the authors discuss recent developments that go beyond this survey and put forward new research questions.
The Teaching And Learning Of Calculus
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Author : Patrick Thompson
language : en
Publisher:
Release Date : 2015-07-15
The Teaching And Learning Of Calculus written by Patrick Thompson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-15 with Education categories.
The Teaching and Learning of Calculus offers a fresh perspective on the challenges and difficulties of effectively engaging students. The authors argue convincingly that many of the difficulties in learning calculus result from ways students understand, or fail to understand, fundamental mathematical concepts in primary and early secondary school and offer alternative ways of understanding and thinking about early mathematics concepts that have natural extensions to learning calculus. Areas covered include: - What is calculus? Foundational mathematical understandings Concepts of calculus, including limits and approximations, rate of change and accumulation Integration and implicit differentiation Teaching, learning and curriculum Throughout the text the authors show that teaching often fails because many calculus concepts are taught in a way that makes it difficult for students to connect ideas that they study in calculus with ideas that they already have--thus leading students to lean on memorization as a way to cope with instruction that makes little sense to them. This important book proposes new ways of thinking about the ideas of calculus that will guide maths researchers, teachers and teacher educators in rethinking maths instruction. The authors conclude by describing the ways in which many current practices in calculus curriculum and instruction are anathemas to high quality learning. They argue for a particular style of integrated active intellectual engagement that students must experience and important conceptual ideas with which students must engage if they are to build coherent, long lasting understandings of calculus that will support using it in other disciplines and supply a base for future mathematical learning. IMPACT (Interweaving Mathematics Pedagogy and Content for Teaching) is an exciting new series of advanced textbooks for teacher education which aims to advance the teaching of maths by integrating mathematics content teaching with the broader research and theoretical base of mathematics education.
Teaching And Learning Of Calculus
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Author : David Bressoud
language : en
Publisher: Springer
Release Date : 2016-06-22
Teaching And Learning Of Calculus written by David Bressoud and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-22 with Education categories.
This survey focuses on the main trends in the field of calculus education. Despite their variety, the findings reveal a cornerstone issue that is strongly linked to the formalism of calculus concepts and to the difficulties it generates in the learning and teaching process. As a complement to the main text, an extended bibliography with some of the most important references on this topic is included. Since the diversity of the research in the field makes it difficult to produce an exhaustive state-of-the-art summary, the authors discuss recent developments that go beyond this survey and put forward new research questions.
Teaching Calculus
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Author : Hugh Neill
language : en
Publisher:
Release Date : 1982
Teaching Calculus written by Hugh Neill and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Calculus categories.
First Year Calculus As Taught By R L Moore An Inquiry Based Learning Approach
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Author : Clement E. Falbo
language : en
Publisher: Dorrance Publishing
Release Date : 2010-10
First Year Calculus As Taught By R L Moore An Inquiry Based Learning Approach written by Clement E. Falbo and has been published by Dorrance Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10 with Mathematics categories.
"First-Year Calculus as Taught by R.L. Moore is intended to facilitate student learning through IBL, or Inquiry-Based Learning, the essence of the Moore Method. Based on notes taken by the author while studying with R.L. Moore in 1955, this text incorporates the pedagogical teaching of mathematics implemented by Dr. Moore using his own collection of seminal 'problems that teach.' Designed to stimulate creativity and encourage student presentations of their solutions in the classroom, the intention is to minimize lectures by the instructor and to maximize student participation in the learning process."--Publisher's website.
How To Teach Mathematics
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Author : Steven G. Krantz
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-10-07
How To Teach Mathematics written by Steven G. Krantz 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 2015-10-07 with Education categories.
This third edition is a lively and provocative tract on how to teach mathematics in today's new world of online learning tools and innovative teaching devices. The author guides the reader through the joys and pitfalls of interacting with modern undergraduates--telling you very explicitly what to do and what not to do. This third edition has been streamlined from the second edition, but still includes the nuts and bolts of good teaching, discussing material related to new developments in teaching methodology and technique, as well as adding an entire new chapter on online teaching methods.
Calculus Renewal
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Author : Susan L. Ganter
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Calculus Renewal written by Susan L. Ganter and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Education categories.
Calculus Reform. Or, as many would prefer, calculus renewal. These are terms that, for better or worse, have become a part of the vocabulary in mathematics departments across the country. The movement to change the nature of the calculus course at the undergraduate and secondary levels has sparked discussion and controversy in ways as diverse as the actual changes. Such interactions range from "coffee pot conversations" to university curriculum committee agendas to special sessions on calculus renewal at regional and national conferences. But what is the significance of these activities? Where have we been and where are we going with calculus and, more importantly, the entire scope of undergraduate mathematics education? In April 1996, I received a fellowship from the American Educational Research Association (AERA) and the National Science Foundation (NSF). This fellowship afforded me the opportunity to work in residence at NSF on a number of evaluation projects, including the national impact of the calculus reform movement since 1988. That project resulted in countless communications with the mathematics community and others about the status of calculus as a course in isolation and as a significant player in the overall undergraduate mathematics and science experience for students (and faculty). While at NSF (and through a second NSF grant received while at the American Association for Higher Education), I also was part of an evaluation project for the Institution-wide Reform (IR) program.
Teaching Mathematics In Colleges And Universities
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Author : Solomon Friedberg
language : en
Publisher: American Mathematical Soc.
Release Date : 2001
Teaching Mathematics In Colleges And Universities written by Solomon Friedberg 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 2001 with Education categories.
Progress in mathematics frequently occurs first by studying particular examples and then by generalizing the patterns that have been observed into far-reaching theorems. Similarly, in teaching mathematics one often employs examples to motivate a general principle or to illustrate its use. This volume uses the same idea in the context of learning how to teach: By analyzing particular teaching situations, one can develop broadly applicable teaching skills useful for the professional mathematician. These teaching situations are the Case Studies of the title. Just as a good mathematician seeks both to understand the details of a particular problem and to put it in a broader context, the examples presented here are chosen to offer a serious set of detailed teaching issues and to afford analysis from a broad perspective. Each case raises a variety of pedagogical and communication issues that may be explored either individually or in a group facilitated by a faculty member. Teaching notes for such a facilitator are included for each Case in the Faculty Edition. The methodology of Case Studies is widely used in areas such as business and law. The consideration of the mathematics cases presented here will help readers to develop teaching skills for their own classrooms.
Fundamentals Of Calculus For Teachers First Edition
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Author : Dustin Jones
language : en
Publisher: Cognella Academic Publishing
Release Date : 2019-07-16
Fundamentals Of Calculus For Teachers First Edition written by Dustin Jones and has been published by Cognella Academic Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-07-16 with categories.
Fundamentals of Calculus for Teachers helps readers connect the dots between key calculus concepts and the mathematics content taught in the middle grades, namely fourth through eighth grade in the United States. The text prepares future instructors to fully understand the mathematical content taught in lower and higher grades, build upon the knowledge their students will bring to the classroom, and prepare students for study of more advanced topics. The book focuses on broad concepts rather than detailed techniques. Over the course of five targeted chapters, students are introduced to key calculus concepts that relate to limits, derivatives, and integrals. Each chapter begins with a description of prerequisite knowledge and brief warmup exercises to prepare the reader for forthcoming content. Students are guided through a set of exercises that demonstrate the concepts in action, with distinct opportunities for input from their instructor and the use of technology (graphing calculators, spreadsheets, etc.) to encourage practical application. Designed to help students sharpen their conceptual knowledge of calculus concepts, Fundamentals of Calculus for Teachers is an ideal resource for courses that prepare future instructors to teach classes in middle-grades mathematics.