Transitions in Mathematics Education.

• Superior document: ICME-13 Topical Surveys Series
• Author: Gueudet, Ghislaine.
• TeilnehmendeR: Bosch, Marianna.; diSessa, Andrea A.; Kwon, Oh Nam.; Verschaffel, Lieven.
• Place / Publishing House: Cham : : Springer International Publishing AG,, 2016.; Ã2016.
• Year of Publication: 2016
• Edition: 1st ed.
• Language: English
• Series: ICME-13 Topical Surveys Series
• Physical Description: 1 online resource (44 pages)

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.