Approaches to Qualitative Research in Mathematics Education Examples of Methodology and Methods 1st Edition by Angelika Bikner Ahsbahs, Christine Knipping, Norma Presmeg 9401791805 9789401791809

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ISBN 10: 9401791805

ISBN 13: 9789401791809

Author: Angelika Bikner-Ahsbahs; Christine Knipping; Norma C. Presmeg

This volume documents a range of qualitative research approaches emerged within mathematics education over the last three decades, whilst at the same time revealing their underlying methodologies. Continuing the discussion as begun in the two 2003 ZDM issues dedicated to qualitative empirical methods, this book presents astate of the art overview on qualitative research in mathematics education and beyond. The structure of the book allows the reader to use it as an actual guide for the selection of an appropriate methodology, on a basis of both theoretical depth and practical implications. The methods and examples illustrate how different methodologies come to life when applied to a specific question in a specific context. Many of the methodologies described are also applicable outside mathematics education, but the examples provided are chosen so as to situate the approach in a mathematical context.

Approaches to Qualitative Research in Mathematics Education Examples of Methodology and Methods 1st Table of contents:

1. Grounded Theory Methodology

1. Grounded Theory Methods

2. To See the Wood for the Trees: The Development of Theory from Empirical Interview Data Using Grounded Theory

2. Approaches to Reconstructing Argumentation

3. Methods for Reconstructing Processes of Argumentation and Participation in Primary Mathematics Classroom Interaction

4. Reconstructing Argumentation Structures: A Perspective on Proving Processes in Secondary Mathematics Classroom Interactions

3. Ideal Type Construction

5. Empirically Grounded Building of Ideal Types. A Methodical Principle of Constructing Theory in the Interpretative Research in Mathematics Education

6. How Ideal Type Construction Can Be Achieved: An Example

4. Semiotic Research

7. The Question of Method in a Vygotskian Semiotic Approach

5. A Theory on Abstraction and Its Methodology

8. The Nested Epistemic Actions Model for Abstraction in Context: Theory as Methodological Tool and Methodological Tool as Theory

6. Networking of Theories

9. Advancing Research by Means of the Networking of Theories

10. A Cross-Methodology for the Networking of Theories: The General Epistemic Need (GEN) as a New Concept at the Boundary of Two Theories

7. Multi-Level-Analysis

11. Understanding Learning Across Lessons in Classroom Communities: A Multi-leveled Analytic Approach

8. Mixed Methods

12. The Combination of Qualitative and Quantitative Research Methods in Mathematics Education: A “Mixed Methods” Study on the Development of the Professional Knowledge of Teachers

9. Qualitative Content Analysis

13. Qualitative Content Analysis: Theoretical Background and Procedures

14. A Study on Professional Competence of Future Teacher Students as an Example of a Study Using Qualitative Content Analysis

10. Triangulation and Cultural Studies

15. The Contemporary Importance of Triangulation in a Post-Positivist World: Examples from the Learner’s Perspective Study

11. Design Research as a Research Methodology

16. An Introduction to Design-Based Research with an Example From Statistics Education

17. Perspectives on Design Research: The Case of Didactical Engineering

18. Educational Design Research to Support System-Wide Instructional Improvement

12. Final Considerations

19. Looking Back

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