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.