Invited Lectures from the 13th International Congress on Mathematical 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