Description

Book Synopsis

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

    Trade Review

    Back cover quotes:

    ‘I highly recommend this book. You will undoubtably be inspired and awed at the beauty of the ideas presented.’ Chris Rasmussen

    ‘The most impressive aspect of this book is that the authors cover so much ground without taking a stance on any of the controversies they so carefully explain.’ Pat Thompson

    ‘When we teach calculus, we need to know about differential and infinitesimal ways to understand calculus … how calculus ideas evolved over time … calculus curricula around the world … calculus education research … alternatives to the classic order … calculus in solving real-world problems … [this book] does quite a bit of all of that.’ Elena Nardi



    Table of Contents

    Series foreword

    1 – Introduction

    2 – Calculus across time and over countries

    3 – Making sense of limits and continuity

    4 – Making sense of differentiation

    5 – Integration and the fundamental theorem of calculus

    6 – Interlude: The ordering of chapters 3, 4 and 5

    7 – Calculus applications: differential equations and integration

    8 – Beyond elementary calculus

    Index

The Learning and Teaching of Calculus

    Product form

    A Paperback by John Monaghan, Robert Ely, Márcia M.F. Pinto

    £999.99

    Includes FREE delivery

    Out of stock

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      Book details

      Publisher Taylor & Francis Ltd
      Published 9 May 2023
      ISBN-13 9781032069739
      978-1032069739
      ISBN-10 1032069732
      Also in:
      Secondary schools Teacher training

      Description

      Book Synopsis

      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

        Trade Review

        Back cover quotes:

        ‘I highly recommend this book. You will undoubtably be inspired and awed at the beauty of the ideas presented.’ Chris Rasmussen

        ‘The most impressive aspect of this book is that the authors cover so much ground without taking a stance on any of the controversies they so carefully explain.’ Pat Thompson

        ‘When we teach calculus, we need to know about differential and infinitesimal ways to understand calculus … how calculus ideas evolved over time … calculus curricula around the world … calculus education research … alternatives to the classic order … calculus in solving real-world problems … [this book] does quite a bit of all of that.’ Elena Nardi



        Table of Contents

        Series foreword

        1 – Introduction

        2 – Calculus across time and over countries

        3 – Making sense of limits and continuity

        4 – Making sense of differentiation

        5 – Integration and the fundamental theorem of calculus

        6 – Interlude: The ordering of chapters 3, 4 and 5

        7 – Calculus applications: differential equations and integration

        8 – Beyond elementary calculus

        Index

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