Mathematical Modelling for Teachers -

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Résumé :
While there are many areas of focus in mathematics education, there are many good reasons for offering applicable mathematics education in schools. Let us just mention two of the most important reasons. On the one hand, a focus on the practical side of mathematics presents a convincing and motivating answer to the typical student question: 'Why study mathematics?' On the other hand, education policy seems inclined to move in this direction by implementing international testing, curricula and catalogues of skills. The most important feature of this book is that the authors speak directly to you, the mathematics teachers. The authors attempt to draw you into a continuous dialogue about activities you are asked to engage in as learners. You are asked to do something, and through doing and reflecting you will gain first-hand experience of new approaches and materials. In this way, you can learn to teach applicable mathematics to your students using your own experience as learners of applicable mathematics, motivated and supported by the book. Here applicable mathematics education is the phrase we use to describe reality-based mathematics education. Reality-based mathematics relies heavily on problem solving and a positive disposition to engage with mathematics. Modelling reality and simulating selected aspects of reality are other pillars of reality-based mathematics education....

Biographie:
J?rgen Maa? (Juergen Maasz in English) is a Professor for Mathematics Education at the Kepler University in Linz (Austria). He started thinking about improving teaching mathematics by using real world problems about 40 years ago when he joined the group MUED a year before it was founded officially by Heinz B?er. He is a prominent member, author, and editor of several books of the ISTRON group.Other areas of his research and published books and papers are mathematics and society (mathematics as technology, mathematics as a social system, industrial mathematics, adults and mathematics), mathematics and philosophy (ethics, theory of recognition). He was previously the chair of ALM (Adults Learning Mathematics) and of the Austrian Mathematics Educators. Niamh O'Meara is a Lecturer in Mathematics Education in EPISTEM, the national centre for STEM Education, at the University of Limerick. She has worked as a lecturer since 2014 and prior to that was the Senior Project Officer (Mathematics) in the National Centre for Excellence in Mathematics and Science Teaching and Learning (NCE-MSTL). Niamh was awarded her PhD in 2011 from the University of Limerick. This work investigated the knowledge required to teach mathematics effectively and she developed a model of teacher knowledge for the 21^st Century. Her current research interests include teacher knowledge...

Sommaire:

Preface.- Chapter 1 Introduction to Modelling.- Chapter 2 Motivation - Why Teach Applicable Mathematics?.- Chapter 3 Empirical Findings on Modelling in Mathematics Education.- Chapter 4 Adapting Textbook Problems to Create a More Reality-Based Mathematics Education.- Chapter 5 Tasks Derived from Everyday Occurrences.- Chapter 6 An Example of a More Extensive Project.- Chapter 7 How do experts model?: Using this knowledge and understanding in the mathematics classroom.- Chapter 8 Further Tips for Teachers Who Want to Implement Applicable Mathematics Education.- Chapter 9 Teaching Real World Mathematics: Some Background Theory.- Conclusion.- References.