Proving in the elementary mathematics classroom

Proving in the elementary mathematics classroom

by Stylianides, Andreas J.

Type Book
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Although proving is core to mathematics as a sense-making activity, it currently has a marginal place in elementary classrooms internationally. Blending research with practical perspectives, this book addresses what it would take to elevate the place of proving at elementary school. It uses classroom episodes from two countries to examine different kinds of proving tasks and the proving activity they can generate in the elementary classroom.

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Title Statements

  • Full title :Proving in the elementary mathematics classroom / Andreas J. Stylianides.

Summary

Although proving is core to mathematics as a sense-making activity, it currently has a marginal place in elementary classrooms internationally. Blending research with practical perspectives, this book addresses what it would take to elevate the place of proving at elementary school. It uses classroom episodes from two countries to examine different kinds of proving tasks and the proving activity they can generate in the elementary classroom.

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Edition Statements

  • Publication Date:2016.
  • Edition:First edition

Publication Statements

Notes

Previously issued in print: 2016.

The Physical Object

  • Description:1 online resource : : illustrations (black and white, and colour)

Edition Identifiers

  • ISBN:9780191789588, 0191789585, 9780191034725, 019103472X
  • oclc:ocn960840902
  • LC Classification:QA9.54
  • Dewey Decimal:511.36

Table of Contents

Cover ; Contents; 1 Introduction; A Classroom Episode of Elementary Students Engaging With Proving; Description of the Episode; Brief Discussion of the Episode; The Book's Broad Aim and Intended Audience; The Book's Structure; 2 The Importance and Meaning of Proving, and the Role of Mathematics Tasks; The Importance of Proving; A Philosophical Argument; A Pedagogical Argument; The Meaning of Proving; An Overview of the Situation in the Field; The Definition of Proving Used in this Book; The Definition of Proof Used in this Book; The Place of Proving in Mathematics Classrooms.

The Current Place of ProvingThe Role of Mathematics Tasks in Elevating the Place of Proving; 3 The Set-up of the Investigation; A Categorization of Proving Tasks; Characteristics of Proving Tasks That Can Influence Their Generated Proving Activity; Data Sources and Analytic Method; Data Sources; Analytic Method; 4 Proving Tasks with Ambiguous Conditions; Episode A; Description of the Episode; Discussion of the Episode; Episode B; Description of the Episode; Discussion of the Episode; General Discussion; The Relationship between Proving Tasks and Proving Activity; The Role of the Teacher.

5 Proving Tasks Inv…

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