On Assumptions and Hypotheses in Mathematising by Tasks without Numbers
eBook - PDF

On Assumptions and Hypotheses in Mathematising by Tasks without Numbers

,
  1. 254 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

On Assumptions and Hypotheses in Mathematising by Tasks without Numbers

,

About this book

When seen as problem solvers of apparently non-mathematical tasks, i.e. tasks without numbers, students mathematise, thus translate text into mathematics. While doing that within groups, they discuss and controvert, by expressing statements in form of assumptions and hypotheses. Beginner and experienced modellers show different working behaviours when investigating how students' perform three main modelling tasks. Epistemic actions within the mathematical modelling cycle, with RBC and SDDS models on a micro-level provide the theoretical framework based on which actions of students are empirically observed and separated into "mathematical world" and "real world". An extended categorisation of the assumptions related to the characteristics of the modelling process and a rough differentiation of hypotheses mainly according to the epistemic actions involved are proposed as results of the study. A generic levelling of students' modelling competencies is also developed, being supported by empirical evidence, but also by normative settlings.

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Yes, you can access On Assumptions and Hypotheses in Mathematising by Tasks without Numbers by in PDF and/or ePUB format. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Cuvillier Verlag
Year
2017
Print ISBN
9783736996311
eBook ISBN
9783736986312
Edition
1

Table of contents

  1. Table of Contents
  2. Table of Figures
  3. Table of Directory
  4. Foreword
  5. 1 Introduction
  6. 2 Theoretical Background
  7. 3 Design and Methodology
  8. 4 Empirical Analysis
  9. 5 Characterisation of assumptions
  10. 6 Characterisation of hypotheses
  11. 7 Summary and concluding remarks
  12. References
  13. Appendices