# Modelling and applications in mathematics education : the 14th ICMI study

9780387298221, 9780387298207, 0387298223, 0387298207

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