Transitions in Mathematics Education.

Bibliographic Details
Main Author: Gueudet, Ghislaine.
Other Authors: Bosch, Marianna., diSessa, Andrea A., Kwon, Oh Nam., Verschaffel, Lieven.
Format: eBook
Language:English
Published: Cham : Springer International Publishing AG, 2016.
Edition:1st ed.
Series:ICME-13 Topical Surveys Series
Subjects:
Online Access:Click to View
Table of Contents:
  • Intro
  • Contents
  • Main Topics You Can Find in This ICME-13 Topical Survey
  • Introduction
  • 1 Survey on the State of the Art
  • 1 What Transitions in Mathematics Education? Review of the Literature
  • 1.1 Mathematics Education: A Story of Change
  • 1.2 Epistemological and Cognitive Transitions
  • 1.3 Sociocultural Transitions
  • 2 Continuity Versus Discontinuity in Learning Difficult Concepts
  • 2.1 Setting the Scene
  • 2.2 Misconceptions and Discontinuities
  • 2.3 Conceptual Change
  • 2.4 Steps Toward Resolving the Conflict
  • 2.5 Empirical Work
  • 2.5.1 The Construction of Causal Schemes
  • 2.5.2 A Mathematical Example: The Law of Large Numbers
  • 2.6 Implications for Teachers and Other Educational Professionals
  • 2.7 Final Words
  • 3 Double Discontinuity Between Secondary School Mathematics and University Mathematics: Focusing on Mathematical Knowledge for Teaching
  • 3.1 Theorizing Teacher Knowledge
  • 3.2 Developments in Teacher Preparation
  • 3.3 Final Comments
  • 4 Transitions Between Teaching Institutions
  • 4.1 Changes Between Educational Institutions at Different Levels of Determination
  • 4.2 The Primary-Secondary Transition
  • 4.3 The Secondary-University Transition
  • 4.4 Questions to Be Pursued
  • 5 Transitions Between In- and Out-of-School Mathematics
  • 5.1 Introduction
  • 5.2 The Transition from Prior-to-School to School Mathematics
  • 5.3 Transitions from Out-of-School to School Mathematics (and Vice Versa)
  • 6 Summary and Looking Ahead
  • References
  • Further Reading.