Introduction. The Didactics of Mathematics: Approaches and Issues. A Hommage to Michèle Artigue. Bernard R. Hodgson, Alain Kuzniak, J.B. Lagrange -- Chapter 1: Didactique goes travelling: Its actual and potential articulations with other traditions of research on the learning and teaching of mathematics. Abraham Arcavi, Paolo Boero, Jeremy Kilpatrick, Luis Radford, Tommy Dreyfus, Kenneth, Ruth…
Main Topics You Can Find in this “ICME-13 Topical Survey” -- Introduction -- Survey on the State-of-the-art -- Summary and Looking Ahead.Open AccessThis survey focuses on the main trends in the field of calculus education. Despite their variety, the findings reveal a cornerstone issue that is strongly linked to the formalism of calculus concepts and to the difficulties it generates in the l…
Main Topics You Can Find in this “ICME-13 Topical Survey” -- Introduction -- Survey on the State-of-the-art -- Summary and Looking Ahead.Open AccessThis survey provides an overview of the German discussion on modelling and applications in schools. It considers the development from the beginning of the 20th century to the present, and discusses the term “mathematical model” as well as di…
Main Topics You Can Find in this “ICME-13 Topical Survey” -- Introduction -- Survey on the State-of-the-art -- Summary and Looking Ahead.Open AccessThis book offers a theory for the analysis of how children learn and are taught about whole numbers. Two meanings of numbers are distinguished – the analytical meaning, defined by the number system, and the representational meaning, identified…
1. Conceptual Framework and Methodology of this Report -- 2. Relation of Student Achievement to the Quality of Their Teachers and Instructional Quality -- 3. The Relations among School Climate, Instructional Quality, and Achievement Motivation in Mathematics -- 4. The Impact of School Climate and Teacher Quality on Mathematics Achievement: A Difference-in-Differences Approach -- 5. The Importan…
Introduction -- Attitude -- Students’ Self-efficacy Beliefs -- Teachers’ beliefs -- Identity -- Motivation -- Further Reading on Mathematics Related Affect.Open AccessThis book records the state of the art in research on mathematics-related affect. It discusses the concepts and theories of mathematics-related affect along the lines of three dimensions. The first dimension identifies three b…
Main Topics You Can Find in this “ICME-13 Topical Survey” -- Introduction -- Survey on the State-of-the-art -- Summary and Looking Ahead.Open AccessThis book provides an overview of current research on a variety of topics related to both large-scale and classroom assessment. First, the purposes, traditions and principles of assessment are considered, with particular attention to those commo…
Chapter 1: Introduction -- Chapter 2: Pierre Bourdieu -- Chapter 3: Jacques Lacan -- Chapter 4: Michel Foucault -- Chapter 5: Gilles Deleuze -- Chapter 6: Bruno Latour -- Chapter 7: Rosi Braidotti -- Chapter 8: Concluding Narratives.This book explicates some of the fundamental philosophical tenets underpinning key theoretical frameworks, and demonstrates how these tenets inform particular kinds…
1. Introduction/ Preface -- 1.1 Project's origins -- 1.2 Brief overview of the book’s organization -- 2. Theoretical Frameworks -- 2.1 Why are visualization skills important? -- 2.2 Research methodology -- 2.3 Spatial Operational Capacity framework -- 2.4 School and classroom context -- 2.5 Pre-program interview -- 3. Introductory Activities -- 3.1 Four block houses -- 3.2 The Soma puzzle fig…
The Pendulum: Its Place in Science, Culture and Pedagogy -- The Pendulum in the 21st Century-Relic or Trendsetter -- The Pendulum: A Paradigm for the Linear Oscillator -- to the Treatment of Non-Linear Effects Using a Gravitational Pendulum -- Experimental Control of Simple Pendulum Model -- Soup-can Pendulum -- What Makes the Foucault Pendulum Move among the Stars? -- Galileo and the Pendulum:…