Fundamentals Of Calculus For Teachers
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Fundamentals Of Calculus For Teachers Preliminary Edition
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Author : Dustin Jones
language : en
Publisher: Cognella Academic Publishing
Release Date : 2018-12-31
Fundamentals Of Calculus For Teachers Preliminary 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 2018-12-31 with categories.
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.
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 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.
Calculus Connections
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Author : Asma Harcharras
language : en
Publisher: Prentice Hall
Release Date : 2007
Calculus Connections written by Asma Harcharras and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
With challenging new standards-based middle school mathematics curricula now in place, future teachers need college-level mathematics instruction that better prepares them for their professional careers. Addresses the importance of learning calculus in preparation for the teaching of middle school mathematics, focusing on concepts and applications to illuminate the connections that exist between college-level calculus and the mathematics taught in today's middle schools. Examines the unique needs of future teachers in comparison to general calculus books. Initiates new topics with engaging discussion rather than the standard formula-proof-example approach. Stresses the interplay between geometry and calculus, and demonstrates the essential power of calculus for computing areas, lengths, surface areas, and volumes. For current or future mathematics teachers, or anyone interested in learning more about calculus.
Foundations And Pre Calculus Mathematics 10
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Author :
language : en
Publisher:
Release Date : 2010
Foundations And Pre Calculus Mathematics 10 written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
Misteaks And How To Find Them Before The Teacher Does
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Author : Barry Cipra
language : en
Publisher: CRC Press
Release Date : 2019-04-29
Misteaks And How To Find Them Before The Teacher Does written by Barry Cipra and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-29 with Mathematics categories.
An unusual supplement to every calculus textbook, Misteaks and How to Find Them before the Teacher Does is popular with students and teachers alike. Teachers love the way it encourages students to truly think about mathematics rather than simply plugging numbers into equations to crank out answers, and students love the author's straightforward, tongue-in-cheek style. The title of this light-hearted and amusing book might well have been "Going Gray in Elementary Calculus and How to Avoid it." Changing the metaphor, Barry has hit the nail on the finger in hundreds of fine examples. --Philip J. Davis, coauthor of The Mathematical Experience. "How I wish that something like this had been available when I was a student!" --Ralph P. Boas, former editor of The American Mathematical Monthly. Bonus: Solution to LeWitt Puzzle
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 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.
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.