Mathematical Modelling From A Cognitive Perspective
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Mathematical Modelling from a Cognitive Perspective
Author: Stanislaw Schukajlow
language: en
Publisher: Taylor & Francis
Release Date: 2025-05-16
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 the relationship between cognitive and metacognitive activities and secondary student approaches to attempting to solve real-world modelling problems. The results of the review highlight areas where theoretical constructs are well advanced and point to areas where development and empirical confirmation are required. Four empirical studies showcase both qualitative and quantitative studies, providing recent findings resulting from a cognitive analysis of student modelling activity in classroom settings or under test conditions. Solving of data-rich modelling tasks, using strategic knowledge about drawing during modelling activities, connecting metacognitive individual strategies, metacognitive group strategies and modelling competencies, and the activation and nurturing of students’ mathematical thinking during the solution of a design problem are considered. The book will be of interest to researchers, teachers and teacher educators and curriculum and educational policy writers. It was originally published as a special issue of Mathematical Thinking and Learning.
Trends in Teaching and Learning of Mathematical Modelling
Author: Gabriele Kaiser
language: en
Publisher: Springer Science & Business Media
Release Date: 2011-06-23
This book contains suggestions for and reflections on the teaching, learning and assessing of mathematical modelling and applications in a rapidly changing world, including teaching and learning environments. It addresses all levels of education from universities and technical colleges to secondary and primary schools. Sponsored by the International Community of Teachers of Mathematical Modelling and Applications (ICTMA), it reflects recent ideas and methods contributed by specialists from 30 countries in Africa, the Americas, Asia, Australia and Europe. Inspired by contributions to the Fourteenth Conference on the Teaching of Mathematical Modelling and Applications (ICTMA14) in Hamburg, 2009, the book describes the latest trends in the teaching and learning of mathematical modelling at school and university including teacher education. The broad and versatile range of topics will stress the international state-of-the-art on the following issues: Theoretical reflections on the teaching and learning of modelling Modelling competencies Cognitive perspectives on modelling Modelling examples for all educational levels Practice of modelling in school and at university level Practices in Engineering and Applications
Mathematical Modelling in Education Research and Practice
In this volume cultural, social and cognitive influences on the research and teaching of mathematical modelling are explored from a variety of theoretical and practical perspectives. The authors of the current volume are all members of the International Community of Teachers of Mathematical Modelling and Applications, the peak research body in this field. A distinctive feature of this volume is the high number of authors from South American countries. These authors bring quite a different perspective to modelling than has been showcased in previous books in this series, in particular from a cultural point of view. As well as recent international research, there is a strong emphasis on pedagogical issues including those associated with technology and assessment, in the teaching and learning of modelling. Applications at various levels of education are exemplified. The contributions reflect common issues shared globally and represent emergent or on-going challenges.