Invited Lectures from the 13th International Congress on Mathematical Education

Description

This book is Open Access under a CC BY 4.0 license. 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, themes and 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. Front Matter ....Pages i-x Practice-Based Initial Teacher Education: Developing Inquiring Professionals (Glenda Anthony)....Pages 1-18 Mathematical Experiments—An Ideal First Step into Mathematics (Albrecht Beutelspacher)....Pages 19-29 Intersections of Culture, Language, and Mathematics Education: Looking Back and Looking Ahead (Marta Civil)....Pages 31-48 The Double Continuity of Algebra (Al Cuoco, William McCallum)....Pages 49-63 A Friendly Introduction to “Knowledge in Pieces”: Modeling Types of Knowledge and Their Roles in Learning (Andrea A. diSessa)....Pages 65-84 History of Mathematics, Mathematics Education, and the Liberal Arts (Michael N. Fried)....Pages 85-101 Knowledge and Action for Change Through Culture, Community and Curriculum (Linda Furuto)....Pages 103-114 The Impact and Challenges of Early Mathematics Intervention in an Australian Context (Ann Gervasoni)....Pages 115-133 Helping Teacher Educators in Institutions of Higher Learning to Prepare Prospective and Practicing Teachers to Teach Mathematics to Young Children (Herbert P. Ginsburg)....Pages 135-154 Hidden Connections and Double Meanings: A Mathematical Viewpoint of Affective and Cognitive Interactions in Learning (Inés M. Gómez-Chacón)....Pages 155-174 The Role of Algebra in School Mathematics (Liv Sissel Grønmo)....Pages 175-193 Storytelling for Tertiary Mathematics Students (Ansie Harding)....Pages 195-207 PME and the International Community of Mathematics Education (Rina Hershkowitz, Stefan Ufer)....Pages 209-228 ICMI 1966–2016: A Double Insiders’ View of the Latest Half Century of the International Commission on Mathematical Instruction (Bernard R. Hodgson, Mogens Niss)....Pages 229-247 Formative Assessment in Inquiry-Based Elementary Mathematics (Alena Hošpesová)....Pages 249-268 Professional Development of Mathematics Teachers: Through the Lens of the Camera (Ronnie Karsenty)....Pages 269-288 Powering Knowledge Versus Pouring Facts (Petar S. Kenderov)....Pages 289-306 Mathematical Problem Solving in Choice-Affluent Environments (Boris Koichu)....Pages 307-324 Natural Differentiation—An Approach to Cope with Heterogeneity (Günter Krauthausen)....Pages 325-341 Changes in Attitudes Towards Textbook Task Modification Using Confrontation of Complexity in a Collaborative Inquiry: Two Case Studies (Kyeong-Hwa Lee)....Pages 343-361 How Can Cognitive Neuroscience Contribute to Mathematics Education? Bridging the Two Research Areas (Roza Leikin)....Pages 363-383 Themes in Mathematics Teacher Professional Learning Research in South Africa: A Review of the Period 2006–2015 (Mdutshekelwa Ndlovu)....Pages 385-399 Pedagogies of Emergent Learning (Ricardo Nemirovsky)....Pages 401-421 Connecting Mathematics, Community, Culture and Place: Promise, Possibilities, and Problems (Cynthia Nicol)....Pages 423-440 Relevance of Learning Logical Analysis of Mathematical Statements (Judith Njomgang Ngansop)....Pages 441-462 Understanding and Visualizing Linear Transformations (Asuman Oktaç)....Pages 463-481 Mapping the Relationship Between Written and Enacted Curriculum: Examining Teachers’ Decision Making (Janine Remillard)....Pages 483-500 Building Bridges Between the Math Education and the Engineering Education Communities: A Dialogue Through Modelling and Simulation (Ruth Rodriguez Gallegos)....Pages 501-519 Constructing Dynamic Geometry: Insights from a Study of Teaching Practices in English Schools (Kenneth Ruthven)....Pages 521-540 Exploring the Contribution of Gestures to Mathematical Argumentation Processes from a Semiotic Perspective (Cristina Sabena)....Pages 541-559 Improving Mathematics Pedagogy Through Student/Teacher Valuing: Lessons from Five Continents (Wee Tiong Seah)....Pages 561-580 About Collaborative Work: Exploring the Functional World in a Computer-Enriched Environment (Carmen Sessa)....Pages 581-599 Re-centring the Individual in Participatory Accounts of Professional Identity (Jeppe Skott)....Pages 601-618 Enactive Metaphorising in the Learning of Mathematics (Jorge Soto-Andrade)....Pages 619-637 Number Sense in Elementary School Children: The Uses and Meanings Given to Numbers in Different Investigative Situations (Alina Galvão Spinillo)....Pages 639-650 Uncovering Chinese Pedagogy: Spiral Variation—The Unspoken Principle of Algebra Thinking Used to Develop Chinese Curriculum and Instruction of the “Two Basics” (Xuhua Sun)....Pages 651-667 Digital Pedagogy in Mathematical Learning (Yahya Tabesh)....Pages 669-678 Activity Theory in French Didactic Research (Fabrice Vandebrouck)....Pages 679-698 The Effect of a Video-Based Intervention on the Knowledge-Based Reasoning of Future Mathematics Teachers (Naďa Vondrová)....Pages 699-717 Popularization of Probability Theory and Statistics in School Through Intellectual Competitions (Ivan R. Vysotskiy)....Pages 719-730 Noticing in Pre-service Teacher Education: Research Lessons as a Context for Reflection on Learners’ Mathematical Reasoning and Sense-Making (Helena Wessels)....Pages 731-748 Dialogues on Numbers: Script-Writing as Approximation of Practice (Rina Zazkis)....Pages 749-767 Equity in Mathematics Education: What Did TIMSS and PISA Tell Us in the Last Two Decades? (Yan Zhu)....Pages 769-786