TY - JOUR

T1 - History, Applications, and Philosophy in Mathematics Education

T2 - HAPh-A Use of Primary Sources

AU - Jankvist, Uffe Thomas

PY - 2013

Y1 - 2013

N2 - The article first investigates the basis for designing teaching activities dealing with aspects of history, applications, and philosophy of mathematics in unison by discussing and analyzing the different 'whys' and 'hows' of including these three dimensions in mathematics education. Based on the observation that a use of history, applications, and philosophy as a 'goal' is best realized through a modules approach, the article goes on to discuss how to actually design such teaching modules. It is argued that a use of primary original sources through a so-called guided reading along with a use of student essay assignments, which are suitable for bringing out relevant meta-issues of mathematics, is a sensible way of realizing a design encompassing the three dimensions. Two concrete teaching modules on aspects of the history, applications, and philosophy of mathematics-HAPh-modules-are outlined and the mathematical cases of these, graph theory and Boolean algebra, are described. Excerpts of student groups' essays from actual implementations of these modules are displayed as illustrative examples of the possible effect such HAPh-modules may have on students' development of an awareness regarding history, applications, and philosophy in relation to mathematics as a (scientific) discipline.

AB - The article first investigates the basis for designing teaching activities dealing with aspects of history, applications, and philosophy of mathematics in unison by discussing and analyzing the different 'whys' and 'hows' of including these three dimensions in mathematics education. Based on the observation that a use of history, applications, and philosophy as a 'goal' is best realized through a modules approach, the article goes on to discuss how to actually design such teaching modules. It is argued that a use of primary original sources through a so-called guided reading along with a use of student essay assignments, which are suitable for bringing out relevant meta-issues of mathematics, is a sensible way of realizing a design encompassing the three dimensions. Two concrete teaching modules on aspects of the history, applications, and philosophy of mathematics-HAPh-modules-are outlined and the mathematical cases of these, graph theory and Boolean algebra, are described. Excerpts of student groups' essays from actual implementations of these modules are displayed as illustrative examples of the possible effect such HAPh-modules may have on students' development of an awareness regarding history, applications, and philosophy in relation to mathematics as a (scientific) discipline.

U2 - 10.1007/s11191-012-9470-8

DO - 10.1007/s11191-012-9470-8

M3 - Journal article

SN - 0926-7220

VL - 22

SP - 635

EP - 656

JO - Science & Education

JF - Science & Education

IS - 3

ER -