Connecting mathematics and mathematics education : : collected papers on mathematics education as a design science / / Erich Christian Wittmann.

• VerfasserIn: Wittmann, Erich Christian.
• Place / Publishing House: Cham : : Springer International Publishing :, Imprint: Springer,, 2021.
• Year of Publication: 2021
• Edition: 1st ed. 2021.
• Language: English
• Physical Description: 1 online resource (XX, 318 p.) :; 200 illus., 61 illus. in color.

This Open Access book features a selection of articles written by Erich Ch. Wittmann between 1984 to 2019, which shows how the “design science conception” has been continuously developed over a number of decades. The articles not only describe this conception in general terms, but also demonstrate v...

Table of Contents

• Preface
• Introduction
• 1. Teaching Units as the Integrating Core of Mathematics Education. Educational Studies in Mathematics 15 (1984), 25–36
• 2. Clinical Interviews Embedded in the „Philosophy of Teaching Units“ – A Means of Developing Teachers’ Attitudes and Skills. In: Christiansen, B. (ed.), Systematic Cooperation Between Theory and Practice in Mathematics Education, Mini-Conference at ICME 5 Adelaide 1984, Copenhagen: Royal Danish School of Education, Dept. of Mathematics 1985, 18–31
• 3. The mathematical training of teachers from the point of view of education. Survey Lecture at ICME 6. Journal für Mathematik-Didaktik 10 (1989), 291–308
• 4. Mathematics Education as a ‘Design Science’. Educational Studies in Mathematics 29 (1995), 355–374
• 5. Standard Number Representations in Teaching Arithmetic. Journal für Mathematik-Didaktik 19 (1998), No. 2/3, 149 – 178
• 6. Designing Teaching: The Pythagorean Theorem. In: Cooney, Th. P. (ed.), Mathematics, Pedagogy, and Secondary Teacher Education. Portsmouth, NH: Heineman 1996, 97–165
• 7. Developing mathematics education in a systemic process. Plenary Lecture at ICME 9. Educational Studies in Mathematics 48 (2002), 1–20
• 8. The Alpha and Omega of Teacher Education: Stimulating Mathematical Activities. In: Holton, D., Teaching and Learning at University Level. An ICMI Study. Dordrecht: Kluwer Academic Publishers, 2002, 539 – 552
• 9. Collective Teaching Experiments: Organizing a Systemic Cooperation Between Reflective Researchers and Reflective Teachers in Mathematics Education. In: Nührenbörger, M. et al. (2016). Design Science and Its Importance in the German Mathematics Educational Discussion. (p. 26-34) Rotterdam: Springer
• 10. Operative Proofs in Schoolmathematics and Elementary Mathematics mathematica didactica 37, H. 2 (2014), 213 – 232) (transl. from German)
• 11. Structure genetic didactical analyses - empirical research „of the first kind". In: Błaszczyk, P. & Pieronkiewicz, B. (eds.): Mathematical Transgressions 2015. Kraków: Universitas 2018, 133 – 150
• 12. Understanding and Organizing Mathematics Education as a Design Science – Origins and New Developments. Hiroshima Journal of Mathematics Education vol. 12 (2019), 1– 20. .