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The Learning and Teaching of Calculus (IMPACT: Interweaving Mathematics Pedagogy and Content for Teaching)

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Description: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 understandingsConcepts of calculus, including limits and approximations, rate of change and accumulationIntegration and implicit differentiationTeaching, learning and curriculumThroughout 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. "We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with The Learning and Teaching of Calculus (IMPACT: Interweaving Mathematics Pedagogy and Content for Teaching). To get started finding The Learning and Teaching of Calculus (IMPACT: Interweaving Mathematics Pedagogy and Content for Teaching), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

Pages: —

Format: PDF, EPUB & Kindle Edition

Publisher: —

Release: 2021

ISBN: 0415831075

Description: 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 understandingsConcepts of calculus, including limits and approximations, rate of change and accumulationIntegration and implicit differentiationTeaching, learning and curriculumThroughout 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. "We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with The Learning and Teaching of Calculus (IMPACT: Interweaving Mathematics Pedagogy and Content for Teaching). To get started finding The Learning and Teaching of Calculus (IMPACT: Interweaving Mathematics Pedagogy and Content for Teaching), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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The Learning and Teaching of Calculus (IMPACT: Interweaving Mathematics Pedagogy and Content for Teaching)

The Learning and Teaching of Calculus (IMPACT: Interweaving Mathematics Pedagogy and Content for Teaching)

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