Selected Regular Lectures from the 12th International Congress on Mathematical Education

Front Matter....Pages i-xiii
Understanding the Nature of the Geometric Work Through Its Development and Its Transformations....Pages 1-15
Integration of Technology into Mathematics Teaching: Past, Present and Future....Pages 17-26
Developing Free Computer-Based Learning Objects for High School Mathematics: Examples, Issues and Directions....Pages 27-49
Doing Research Within the Anthropological Theory of the Didactic: The Case of School Algebra....Pages 51-69
Curriculum Reform and Mathematics Learning: Evidence from Two Longitudinal Studies....Pages 71-92
Mathematical Problem Solving Beyond School: Digital Tools and Students’ Mathematical Representations....Pages 93-113
Constructing Abstract Mathematical Knowledge in Context....Pages 115-133
Digital Technology in Mathematics Education: Why It Works (Or Doesn’t)....Pages 135-151
Mathematical Thinking Styles in School and Across Cultures....Pages 153-173
Learning to See: The Viewpoint of the Blind....Pages 175-186
Issues and Concerns About the Integration of ICT into the Teaching and Learning of Mathematics in Africa: Botswana Case....Pages 187-202
Learning Mathematics in Secondary School: The Case of Mathematical Modelling Enabled by Technology....Pages 203-222
Doing Mathematics in Teacher Preparation: Giving Space and Time to Think, Reflect, Share and Feel....Pages 223-233
Resources at the Core of Mathematics Teachers’ Work....Pages 235-251
The Mathematics Education Reform Movement in Indonesia....Pages 253-267
Emotions in Problem Solving....Pages 269-288
Hands that See, Hands that Speak: Investigating Relationships Between Sensory Activity, Forms of Communicating and Mathematical Cognition....Pages 289-308
Freudenthal’s Work Continues....Pages 309-331
Teachers Learning Together: Pedagogical Reasoning in Mathematics Teachers’ Collaborative Conversations....Pages 333-342
Transforming Education Through Lesson Study: Thailand’s Decade-Long Journey....Pages 343-354
Dialectic on the Problem Solving Approach: Illustrating Hermeneutics as the Ground Theory for Lesson Study in Mathematics Education....Pages 355-381
History, Application, and Philosophy of Mathematics in Mathematics Education: Accessing and Assessing Students’ Overview and Judgment....Pages 383-404
Implications from Polya and Krutetskii....Pages 405-416
Constructionism: Theory of Learning or Theory of Design?....Pages 417-438
Mobile Linear Algebra with Sage....Pages 439-450
Discernment and Reasoning in Dynamic Geometry Environments....Pages 451-469
Riding the Third Wave: Negotiating Teacher and Students’ Value Preferences Relating to Effective Mathematics Lesson....Pages 471-485
Learning Mathematics by Creative or Imitative Reasoning....Pages 487-506
Features of Exemplary Lessons Under the Curriculum Reform in China: A Case Study on Thirteen Elementary Mathematics Lessons....Pages 507-525
Teachers, Students and Resources in Mathematics Laboratory....Pages 527-546
The Common Core State Standards in Mathematics....Pages 547-560
From Practical Geometry to the Laboratory Method: The Search for an Alternative to Euclid in the History of Teaching Geometry....Pages 561-587
Research on Mathematics Classroom Practice: An International Perspective....Pages 589-605
Mathematical Literacy for Living in the Highly Information-and-Technology-Oriented in the 21st Century: Mathematics Education from the Perspective of Human Life in Society....Pages 607-628
Exploring the Nature of the Transition to Geometric Proof Through Design Experiments From the Holistic Perspective....Pages 629-652
Laying Foundations for Statistical Inference....Pages 653-666
Mathematics Education in Cambodia from 1980 to 2012: Challenges and Perspectives 2025....Pages 667-676
The Challenges of Preparing a Mathematical Lecture for the Public....Pages 677-693
Computer Aided Assessment of Mathematics Using STACK....Pages 695-713
Numerical Analysis as a Topic in School Mathematics....Pages 715-729
Visualizing Mathematics at University? Examples from Theory and Practice of a Linear Algebra Course....Pages 731-753
On the Golden Ratio....Pages 755-770
The International Assessment of Mathematical Literacy: PISA 2012 Framework and Items....Pages 771-790
Applications and Modelling Research in Secondary Classrooms: What Have We Learnt?....Pages 791-805
Mathematics Competition Questions: Their Pedagogical Values and an Alternative Approach of Classification....Pages 807-819
What Does It Mean to Understand Some Mathematics?....Pages 821-841
Conflicting Perspectives of Power, Identity, Access and Language Choice in Multilingual Teachers’ Voices....Pages 843-857
Mathematics at University: The Anthropological Approach....Pages 859-875
Use of Student Mathematics Questioning to Promote Active Learning and Metacognition....Pages 877-895
The Examination System in China: The Case of Zhongkao Mathematics....Pages 897-914
Mapping Mathematical Leaps of Insight....Pages 915-932