The Teaching And Learning Of Calculus
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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 : 2016-06-14
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.
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.
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 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.
How To Teach Mathematics Second Edition
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Author : Steven George Krantz
language : en
Publisher: American Mathematical Soc.
Release Date : 1999
How To Teach Mathematics Second Edition written by Steven George 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 1999 with Mathematics categories.
This expanded edition of the original bestseller, How to Teach Mathematics, offers hands-on guidance for teaching mathematics in the modern classroom setting. Twelve appendices have been added that are written by experts who have a wide range of opinions and viewpoints on the major teaching issues. Eschewing generalities, the award-winning author and teacher, Steven Krantz, addresses issues such as preparation, presentation, discipline, and grading. He also emphasizes specifics--from how to deal with students who beg for extra points on an exam to mastering blackboard technique to how to use applications effectively. No other contemporary book addresses the principles of good teaching in such a comprehensive and cogent manner. The broad appeal of this text makes it accessible to areas other than mathematics. The principles presented can apply to a variety of disciplines--from music to English to business. Lively and humorous, yet serious and sensible, this volume offers readers incisive information and practical applications.
Calculus Without Tears
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Author : Willliam Davis Flannery
language : en
Publisher: 1st Impression Publishing
Release Date : 2004-01-01
Calculus Without Tears written by Willliam Davis Flannery and has been published by 1st Impression Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-01 with categories.
The first volume of a revolutionary new approach to learning calculus. Calculus Without Tears starts with computational calculus, which is not difficult, and provides a way for computing solutions to differential equations from the start. Calculus Without Tears is motivated by formulating and solving representative problems in physics and engineering.
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.
Research In Collegiate Mathematics Education Iii
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Author : James J. Kaput
language : en
Publisher: American Mathematical Soc.
Release Date : 1998
Research In Collegiate Mathematics Education Iii written by James J. Kaput 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 1998 with Education categories.
Volume 3 of Research in Collegiate Mathematics Education (RCME) presents state-of-the-art research on understanding, teaching and learning mathematics at the post-secondary level. This volume contains information on methodology and research concentrating on these areas of student learning: Problem Solving; Understanding Concepts; and Understanding Proofs.
Research On Teaching And Learning Mathematics At The Tertiary Level
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Author : Irene Biza
language : en
Publisher: Springer
Release Date : 2016-07-01
Research On Teaching And Learning Mathematics At The Tertiary Level written by Irene Biza and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-01 with Education categories.
This topical survey focuses on research in tertiary mathematics education, a field that has experienced considerable growth over the last 10 years. Drawing on the most recent journal publications as well as the latest advances from recent high-quality conference proceedings, our review culls out the following five emergent areas of interest: mathematics teaching at the tertiary level; the role of mathematics in other disciplines; textbooks, assessment and students’ studying practices; transition to the tertiary level; and theoretical-methodological advances. We conclude the survey with a discussion of some potential directions for future research in this new and rapidly evolving domain of inquiry.