内容

目次

Plenaries.- Less Chalk, Less Words, Less Symbols ... More Objects, More Context, More Actions.- What’s all the Fuss about Competencies?.- A Theory of Mathematical Modelling in Technological Settings.- What Knowledge Do Teachers Need for Teaching Mathematics Through Applications and Modelling?.- Beyond the Low Hanging Fruit.- Modelling for Life: Mathematics and Children’s Experience.- Modelling in Lower Secondary Mathematics Classroom — Problems and Opportunities.- Mathematical Modelling — a Conversation with Henry Pollak.- Issues in Applications and Modelling.- Epistemology and Modelling — Overview.- Modelling Body Motion: an Approach to Functions Using Measuring Instruments.- Emergent Modelling as a Precursor to Mathematical Modelling.- Proving and Modelling.- A Developmental Approach for Supporting the Epistemology of Modeling.- What is Distinctive in (Our Views about) Models & Modelling Perspectives on Mathematics Problem Solving, Learning, and Teaching?.- Everyday Instruments: On the Use of Mathematics.- Authenticity and Goals — Overview.- How to Replace Word Problems with Activities of Realistic Mathematical Modelling.- The Relevance of Modelling and Applications: Relevant to Whom and for What Purpose?.- Features and Impact of the Authenticity of Applied Mathematical School Tasks.- Elementary Modelling in Mathematics Lessons: The Interplay Between “Real-World” Knowledge and “Mathematical Structures”.- Modelling Competencies — Overview.- Levels of Modelling Competencies.- Modelling Both Complexity and Abstraction: A Paradox?.- Studying and Remedying Students’ Modelling Competencies: Routine Behaviour or Adaptive Expertise.- Assessing the “Phases” of Mathematical Modelling.- The Arithmetic Operations as Mathematical Models.- Applications and Modelling for Mathematics — Overview.- The Roles of Modelling in Learning Mathematics.- Developing Mathematical Literacy.- Classroom Activities and the Teacher.- Uses of Technologies in Learning Mathematics through Modelling.- Modelling Pedagogy — Overview.- Mathematical Modelling in High School Mathematics: Teachers’ Thinking and Practice.- Mathematical Modelling in Teacher Education — Necessity or Unnecessarily.- Building Concepts and Conceptions in Technology-Based Open Learning Environments.- Towards a Wider Implementation of Mathematical Modelling at Upper Secondary and Tertiary Levels.- How Might we Share Models Through Cooperative Mathematical Modelling? Focus on Situations Based on Individual Experiences.- Implementation and Practice — Overview.- Some Conditions for Modelling to Exist in Mathematics Classrooms.- Picture (Im)Perfect Mathematics!.- Learning Mathematical Modelling — From the Perspective of Probability and Statistics Education.- Considering Workplace Activity from a Mathematical Modelling Perspective.- Assessment and Evaluation - Overview.- Modelling Based Project Examination.- Mathematical Modelling and Applications: Ability and Competence Frameworks.- “To Model, or to Let Them Model?” That is the Question!.- Modelling and Applications in Pisa.- Assessment of Applied Mathematics and Modelling: Using a Laboratory-Like Environment.- Educational Levels.- Modelling and Applications in Primary Education.- Possibilities for, and Obstacles to Teaching Applications and Modelling in the Lower Secondary Levels.- Upper Secondary Perspectives on Applications and Modelling.- Teaching Applications and Modelling at Tertiary Level.- Modelling in Teacher Education.- Cases in Applications and Modelling.- Moving the Context of Modelling to the Forefront: Preservice Teachers’ Investigations of Equity in Testing.- Modelling in Ontario: Success in Moving Along the Continuum.- Implementation Case Study: Sustaining Curriculum Change.- Mathematical Modelling of Social Issues in School Mathematics in South Africa.