Connecting mathematics and mathematics education : collected papers on mathematics education as a design science / Erich Cristian Wittmann, Department of Mathematics, Technical University of Dortmund, Dortmund, Germany.

By: Wittmann, Erich Christian [author.]Material type: TextTextLanguage: English Publisher: Cham, Switzerland : Springer International Publishing, 2021Copyright date: ©2021Description: xx, 318 pages : illustrations ; 24 cmContent type: text Media type: unmediated Carrier type: volumeISBN: 9783030615697 (paperback)Subject(s): Mathematics -- Study and teaching | Curriculum changeLOC classification: QA11.2 .W58 2021Online resources: URL for E-Book Edition
Contents:
1 Unfolding the educational and practical resources inherent in mathematics for teaching mathematics.
2 Teaching units as the integrating core of mathematics education.
3 Clinical interviews embedded in the "Philosophy of teaching units" - a means of developing teachers' attitudes and skills.
4 The mathematical training of teachers from the point of view.
5 When is a proof a proof?
6 Mathematics education as a 'design science'.
7 Designing teaching: the pythagorean theorem.
8. Standard number representations in the teaching of arithmetic.
9. Developing mathematics education in a systematic process.
10. The alpha and omega of teacher education: organizing mathematical activities.
11 Operative proofs in school mathematics and elementary mathematics.
12 Collective teaching experiments: organizing a systemic cooperation between reflective researchers and reflective teachers in mathematics education.
13 Structure-genetic didactical analyses-empirical research "of the first kind".
14 Understanding and organizing mathematics education as a design science-origins and new developments.
Subject: Provides a comprehensive overview of mathematics education as a design science Draws a clear distinction between “mathematics” (for specialists) and “well-understood” mathematics Demonstrates how to fruitfully integrate mathematics into courses on mathematics education Includes models for designing substantial learning environments in various topic areas https://link.springer.com/book/10.1007/978-3-030-61570-3
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1 Unfolding the educational and practical resources inherent in mathematics for teaching mathematics.

2 Teaching units as the integrating core of mathematics education.

3 Clinical interviews embedded in the "Philosophy of teaching units" - a means of developing teachers' attitudes and skills.

4 The mathematical training of teachers from the point of view.

5 When is a proof a proof?

6 Mathematics education as a 'design science'.

7 Designing teaching: the pythagorean theorem.

8. Standard number representations in the teaching of arithmetic.

9. Developing mathematics education in a systematic process.

10. The alpha and omega of teacher education: organizing mathematical activities.

11 Operative proofs in school mathematics and elementary mathematics.

12 Collective teaching experiments: organizing a systemic cooperation between reflective researchers and reflective teachers in mathematics education.

13 Structure-genetic didactical analyses-empirical research "of the first kind".

14 Understanding and organizing mathematics education as a design science-origins and new developments.

Provides a comprehensive overview of mathematics education as a design science
Draws a clear distinction between “mathematics” (for specialists) and “well-understood” mathematics
Demonstrates how to fruitfully integrate mathematics into courses on mathematics education
Includes models for designing substantial learning environments in various topic areas

https://link.springer.com/book/10.1007/978-3-030-61570-3