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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Hlavní autoři: Gueudet, Ghislaine, Bosch, Marianna, diSessa, Andrea A, Kwon, Oh Nam, Verschaffel, Lieven
Médium: E-kniha
Jazyk:angličtina
Vydáno: Cham Springer Nature 2016
Springer Open
Springer
Springer International Publishing AG
Vydání:1
Edice:ICME-13 Topical Surveys
Témata:
Education
Learning
Mathematics
Mathematics and Science
Mathematics Education
Nonfiction
Society and Social Sciences
Teaching
ISBN:3319316222, 9783319316222, 9783319316215, 3319316214
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Abstract 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 out with a literature review, describing the epistemological, cognitive, institutional and sociocultural perspectives on transition. It then looks at the research questions posed in the studies and their link with transition, and examines the theoretical approaches and methods used. It explores whether the research conducted has led to the identification of continuous processes, successive steps, or discontinuities. It answers the question of whether there are difficulties attached to the discontinuities identified, and if so, whether the research proposes means to reduce the gap - to create a transition. The book concludes with directions for future research on transitions in mathematics education.
AbstractList Mathematics Education; Learning; Teaching
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 out with a literature review, describing the epistemological, cognitive, institutional and sociocultural perspectives on transition. It then looks at the research questions posed in the studies and their link with transition, and examines the theoretical approaches and methods used. It explores whether the research conducted has led to the identification of continuous processes, successive steps, or discontinuities. It answers the question of whether there are difficulties attached to the discontinuities identified, and if so, whether the research proposes means to reduce the gap - to create a transition. The book concludes with directions for future research on transitions in mathematics education.
Author diSessa, Andrea A
Gueudet, Ghislaine
Verschaffel, Lieven
Bosch, Marianna
Kwon, Oh Nam
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Snippet Mathematics Education; Learning; Teaching
This book examines the kinds of transitions that have been studied in mathematics education research. It defines transition as a process of change, and...
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SubjectTerms Education
Learning
Mathematics
Mathematics and Science
Mathematics Education
Nonfiction
Society and Social Sciences
Teaching
SubjectTermsDisplay Education.
Electronic books.
Nonfiction.
TableOfContents 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
Title Transitions in Mathematics Education
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