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Teaching and Learning of Calculus

2016-06-14 Education
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Release : 2016-06-14
Genre : Education
Kind : eBook
Book Rating : 758/5 ( reviews)

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Book Synopsis Teaching and Learning of Calculus by : David Bressoud

Download or read book Teaching and Learning of Calculus written by David Bressoud. This book was released on 2016-06-14. Available in PDF, EPUB and Kindle. Book excerpt: 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

2023-09-05 Education
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Release : 2023-09-05
Genre : Education
Kind : eBook
Book Rating : 665/5 ( reviews)

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Book Synopsis The Learning and Teaching of Calculus by : John Monaghan

Download or read book The Learning and Teaching of Calculus written by John Monaghan. This book was released on 2023-09-05. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Teaching and Learning of Calculus

2015-07-15 Education
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Release : 2015-07-15
Genre : Education
Kind : eBook
Book Rating : 079/5 ( reviews)

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Book Synopsis The Teaching and Learning of Calculus by : Patrick Thompson

Download or read book The Teaching and Learning of Calculus written by Patrick Thompson. This book was released on 2015-07-15. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Learning and Teaching of Algebra

2016-06-23 Education
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Release : 2016-06-23
Genre : Education
Kind : eBook
Book Rating : 704/5 ( reviews)

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Book Synopsis The Learning and Teaching of Algebra by : Abraham Arcavi

Download or read book The Learning and Teaching of Algebra written by Abraham Arcavi. This book was released on 2016-06-23. Available in PDF, EPUB and Kindle. Book excerpt: IMPACT (Interweaving Mathematics Pedagogy and Content for Teaching) is an exciting new series of texts for teacher education which aims to advance the learning and teaching of mathematics by integrating mathematics content with the broader research and theoretical base of mathematics education. The Learning and Teaching of Algebra provides a pedagogical framework for the teaching and learning of algebra grounded in theory and research. Areas covered include: • Algebra: Setting the Scene • Some Lessons From History • Seeing Algebra Through the Eyes of a Learner • Emphases in Algebra Teaching • Algebra Education in the Digital Era This guide will be essential reading for trainee and qualified teachers of mathematics, graduate students, curriculum developers, researchers and all those who are interested in the "problématique" of teaching and learning algebra. It allows you to get involved in the wealth of knowledge that teachers can draw upon to assist learners, helping you gain the insights that mastering algebra provides.

Teaching and Learning of Calculus

2016-06-22 Education
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Release : 2016-06-22
Genre : Education
Kind : eBook
Book Rating : 741/5 ( reviews)

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Book Synopsis Teaching and Learning of Calculus by : David Bressoud

Download or read book Teaching and Learning of Calculus written by David Bressoud. This book was released on 2016-06-22. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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