Transitions in Mathematics Education

This book examines the kinds of transitions that have been studied in mathematics education research. It defines transition as a process of change, and describes learning in an educational context as a transition process. The book focuses on research in the area of mathematics education, and starts...

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Bibliographic Details
Main Authors: Gueudet, Ghislaine, Bosch, Marianna, diSessa, Andrea A, Kwon, Oh Nam, Verschaffel, Lieven
Format: eBook
Language:English
Published: Cham Springer Nature 2016
Springer Open
Springer
Springer International Publishing AG
Edition:1
Series:ICME-13 Topical Surveys
Subjects:
Education
Learning
Mathematics
Mathematics and Science
Mathematics Education
Nonfiction
Society and Social Sciences
Teaching
ISBN:3319316222, 9783319316222, 9783319316215, 3319316214
Online Access:Get full text
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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