Mathematical Modelling for Teachers [electronic resource] : A Practical Guide to Applicable Mathematics Education / by Jürgen Maaß, Niamh O’Meara, Patrick Johnson, John O’Donoghue.

By: Contributor(s): Material type: TextTextSeries: Springer Texts in EducationPublisher: Cham : Springer International Publishing : Imprint: Springer, 2018Description: XVI, 159 p. 35 illus. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783030004316
Subject(s): Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:
  • 370 23
LOC classification:
  • LC8-6691
Online resources:
Contents:
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.
Summary: 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.
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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.

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.

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