History, application, and philosophy of mathematics in mathematics education: accessing and assessing students’ overview and judgment. (English)

Cho, Sung Je (ed.), Selected regular lectures from the 12th international congress on mathematical education, ICME 12, Seoul, Korea, July 8‒15, 2012. Cham: Springer (ISBN 978-3-319-17186-9/hbk; 978-3-319-17187-6/ebook). 383-404 (2015).

Summary: The Regular Lecture addresses the three dimensions of history, application, and philosophy of mathematics in the teaching and learning of mathematics. It is discussed how students’ overview and judgment ‒ interpreted as ’sets of views’ and beliefs about mathematics as a discipline ‒ may be developed and/or changed through teaching activities embracing all three dimensions of history, application, and philosophy. More precisely, an example of such a teaching activity for upper secondary school is described along with a method for both accessing and assessing students’ overview and judgment. Examples of data analysis are given based on a concrete implementation of the teaching activity.