1st Edition

Mathematical Modelling from a Cognitive Perspective

114 Pages
by Routledge

114 Pages
by Routledge

This edited volume provides readers with a snapshot of some of the current thinking on mathematical modelling education. It focuses on the relationship between cognitive and metacognitive activities and student approaches to attempting to solve real-world modelling problems. This book presents a focused review of some current thinking and research on mathematical modelling education focusing on... Read more

Introduction – Modelling from a Cognitive Perspective: Theoretical Considerations and Empirical Contributions
Stanislaw Schukajlow, Gabriele Kaiser, and Gloria Ann Stillman

 

1. Modelling the Phenomenon versus Modelling the Data Set

Gloria Ann Stillman and Jill P. Brown

 

2. Does Strategic Knowledge Matter? Effects of Strategic Knowledge about Drawing on Students’ Modelling Competencies in the Domain of Geometry

Johanna Rellensmann, Stanislaw Schukajlow, Judith Blomberg and Claudia Leopold

 

3. Metacognition in Mathematical Modelling: the Connection between Metacognitive Individual Strategies, Metacognitive Group Strategies and Modelling Competencies

Katrin Vorhölter

 

4. Mathematical Thinking about Systems – Students Modelling a Biometrics Identity Verification System

Ana Margarida Baioa and Susana Carreira

Biography

Stanislaw Schukajlow, Gabriele Kaiser, and Gloria Ann Stillman are active members of the international research community which focuses on researching mathematical modelling education viewing modelling as real-world problem solving. They have extensively edited and contributed to international journals and books on the topic. The latter two editors are past presidents of the International Community of Teachers of Mathematical Modelling and Applications (ICTMA).