The book presents the Invited Lectures given at 13th International Congress on Mathematical Education (ICME-13). ICME-13 took place from 24th- 31st July 2016 at the University of Hamburg in Hamburg (Germany). The congress was hosted by the Society of Didactics of Mathematics (Gesellschaft für Didaktik der Mathematik - GDM) and took place under the auspices of the International Commission on Mathematical Instruction (ICMI). ICME-13 – the biggest ICME so far - brought together about 3500 mathematics educators from 105 countries, additionally 250 teachers from German speaking countries met for specific activities. The scholars came together to share their work on the improvement of mathematics education at all educational levels.. The papers present the work of prominent mathematics educators from all over the globe and give insight into the current discussion in mathematics education. The Invited Lectures cover a wide spectrum of topics, themesand issues and aim to give direction to future research towards educational improvement in the teaching and learning of mathematics education. This book is of particular interest to researchers, teachers and curriculum developers in mathematics education.
2. Mathematical Experiments—An Ideal First Step into Mathematics
3. Intersections of Culture, Language, and Mathematics Education: Looking Back and Looking Ahead
4. The Double Continuity of Algebra
5. A Friendly Introduction to “Knowledge in Pieces”: Modeling Types of Knowledge and Their Roles in Learning
6. History of Mathematics, Mathematics Education, and the Liberal Arts
7. Knowledge and Action for Change Through Culture, Community and Curriculum
8. The Impact and Challenges of Early Mathematics Intervention in an Australian Context
9. Helping Teacher Educators in Institutions of Higher Learning to Prepare Prospective and Practicing Teachers to Teach Mathematics to Young Children
10. Hidden Connections and Double Meanings: A Mathematical Viewpoint of Affective and Cognitive Interactions in Learning
11. The Role of Algebra in School Mathematics
12. Storytelling for Tertiary Mathematics Students
13. PME and the International Community of Mathematics Education
14. ICMI 1966–2016: A Double Insiders’ View of the Latest Half Century of the International Commission on Mathematical Instruction
15. Formative Assessment in Inquiry-Based Elementary Mathematics
16. Professional Development of Mathematics Teachers: Through the Lens of the Camera
17. Powering Knowledge Versus Pouring Facts
18. Mathematical Problem Solving in Choice-Affluent Environments
19. Natural Differentiation—An Approach to Cope with Heterogeneity
20. Changes in Attitudes Towards Textbook Task Modification Using Confrontation of Complexity in a Collaborative Inquiry: Two Case Studies
21. How Can Cognitive Neuroscience Contribute to Mathematics Education? Bridging the Two Research Areas
22. Themes in Mathematics Teacher Professional Learning Research in South Africa: A Review of the Period 2006–2015
23. Pedagogies of Emergent Learning
24. Connecting Mathematics, Community, Culture and Place: Promise, Possibilities, and Problems
25. Relevance of Learning Logical Analysis of Mathematical Statements
26. Understanding and Visualizing Linear Transformations
27. Mapping the Relationship Between Written and Enacted Curriculum: Examining Teachers’ Decision Making
28. Building Bridges Between the Math Education and the Engineering Education Communities: A Dialogue Through Modelling and Simulation
29. Constructing Dynamic Geometry: Insights from a Study of Teaching Practices in English Schools
30. Exploring the Contribution of Gestures to Mathematical Argumentation Processes from a Semiotic Perspective
31. Improving Mathematics Pedagogy Through Student/Teacher Valuing: Lessons from Five Continents
32. About Collaborative Work: Exploring the Functional World in a Computer-Enriched Environment
33. Re-centring the Individual in Participatory Accounts of Professional Identity
34. Enactive Metaphorising in the Learning of Mathematics
35. Number Sense in Elementary School Children: The Uses and Meanings Given to Numbers in Different Investigative Situations
36. Uncovering Chinese Pedagogy: Spiral Variation—The Unspoken Principle of Algebra Thinking Used to Develop Chinese Curriculum and Instruction of the “Two Basics”
37. Digital Pedagogy in Mathematical Learning
38. Activity Theory in French Didactic Research
39. The Effect of a Video-Based Intervention on the Knowledge-Based Reasoning of Future Mathematics Teachers
40. Popularization of Probability Theory and Statistics in School Through Intellectual Competitions
41. Noticing in Pre-service Teacher Education: Research Lessons as a Context for Reflection on Learners’ Mathematical Reasoning and Sense-Making
42. Dialogues on Numbers: Script-Writing as Approximation of Practice
43. Equity in Mathematics Education: What Did TIMSS and PISA Tell Us in the Last Two Decades?
The book presents the Invited Lectures given at 13th International Congress on Mathematical Education (ICME-13). ICME-13 took place from 24th- 31st July 2016 at the University of Hamburg in Hamburg (Germany). The congress was hosted by the Society of Didactics of Mathematics (Gesellschaft für Didaktik der Mathematik - GDM) and took place under the auspices of the International Commission on Mathematical Instruction (ICMI). ICME-13 – the biggest ICME so far - brought together about 3500 mathematics educators from 105 countries, additionally 250 teachers from German speaking countries met for specific activities. The scholars came together to share their work on the improvement of mathematics education at all educational levels.. The papers present the work of prominent mathematics educators from all over the globe and give insight into the current discussion in mathematics education. The Invited Lectures cover a wide spectrum of topics, themesand issues and aim to give direction to future research towards educational improvement in the teaching and learning of mathematics education. This book is of particular interest to researchers, teachers and curriculum developers in mathematics education.
2. Mathematical Experiments—An Ideal First Step into Mathematics
3. Intersections of Culture, Language, and Mathematics Education: Looking Back and Looking Ahead
4. The Double Continuity of Algebra
5. A Friendly Introduction to “Knowledge in Pieces”: Modeling Types of Knowledge and Their Roles in Learning
6. History of Mathematics, Mathematics Education, and the Liberal Arts
7. Knowledge and Action for Change Through Culture, Community and Curriculum
8. The Impact and Challenges of Early Mathematics Intervention in an Australian Context
9. Helping Teacher Educators in Institutions of Higher Learning to Prepare Prospective and Practicing Teachers to Teach Mathematics to Young Children
10. Hidden Connections and Double Meanings: A Mathematical Viewpoint of Affective and Cognitive Interactions in Learning
11. The Role of Algebra in School Mathematics
12. Storytelling for Tertiary Mathematics Students
13. PME and the International Community of Mathematics Education
14. ICMI 1966–2016: A Double Insiders’ View of the Latest Half Century of the International Commission on Mathematical Instruction
15. Formative Assessment in Inquiry-Based Elementary Mathematics
16. Professional Development of Mathematics Teachers: Through the Lens of the Camera
17. Powering Knowledge Versus Pouring Facts
18. Mathematical Problem Solving in Choice-Affluent Environments
19. Natural Differentiation—An Approach to Cope with Heterogeneity
20. Changes in Attitudes Towards Textbook Task Modification Using Confrontation of Complexity in a Collaborative Inquiry: Two Case Studies
21. How Can Cognitive Neuroscience Contribute to Mathematics Education? Bridging the Two Research Areas
22. Themes in Mathematics Teacher Professional Learning Research in South Africa: A Review of the Period 2006–2015
23. Pedagogies of Emergent Learning
24. Connecting Mathematics, Community, Culture and Place: Promise, Possibilities, and Problems
25. Relevance of Learning Logical Analysis of Mathematical Statements
26. Understanding and Visualizing Linear Transformations
27. Mapping the Relationship Between Written and Enacted Curriculum: Examining Teachers’ Decision Making
28. Building Bridges Between the Math Education and the Engineering Education Communities: A Dialogue Through Modelling and Simulation
29. Constructing Dynamic Geometry: Insights from a Study of Teaching Practices in English Schools
30. Exploring the Contribution of Gestures to Mathematical Argumentation Processes from a Semiotic Perspective
31. Improving Mathematics Pedagogy Through Student/Teacher Valuing: Lessons from Five Continents
32. About Collaborative Work: Exploring the Functional World in a Computer-Enriched Environment
33. Re-centring the Individual in Participatory Accounts of Professional Identity
34. Enactive Metaphorising in the Learning of Mathematics
35. Number Sense in Elementary School Children: The Uses and Meanings Given to Numbers in Different Investigative Situations
36. Uncovering Chinese Pedagogy: Spiral Variation—The Unspoken Principle of Algebra Thinking Used to Develop Chinese Curriculum and Instruction of the “Two Basics”
37. Digital Pedagogy in Mathematical Learning
38. Activity Theory in French Didactic Research
39. The Effect of a Video-Based Intervention on the Knowledge-Based Reasoning of Future Mathematics Teachers
40. Popularization of Probability Theory and Statistics in School Through Intellectual Competitions
41. Noticing in Pre-service Teacher Education: Research Lessons as a Context for Reflection on Learners’ Mathematical Reasoning and Sense-Making
42. Dialogues on Numbers: Script-Writing as Approximation of Practice
43. Equity in Mathematics Education: What Did TIMSS and PISA Tell Us in the Last Two Decades?