Mathematics in the Swedish Upper Secondary School Electricity Program A study of teacher knowledge

Sammanfattning: Mathematical knowledge is often a prerequisite for students at Swedish upper secondary vocational programs to be able to study vocational courses, for example electricity courses in the Electricity Program. Electricity Program students study mathematics in their electricity courses as well as in their mathematics course. The mathematics in those two settings has a different character. A goal of this thesis is to investigate what constitutes that character. In this study three mathematics and five electricity teachers have been interviewed about how they would explain three mathematical electricity tasks to students on the Electricity Program. Teacher knowledge in both electricity and mathematics has been used in the analyses and has been compared between the different teacher groups. In addition to providing an overview analysis of all the teachers’ explanations, detailed analyses have been carried out, comparing pairs of teachers’ explanations. The teachers’ choices of explanations and their use of specific and general mathematical knowledge have been studied.Mathematics contains a wide range of subject areas but also a wide range of representations and methods that highlight different aspects of mathematics. This study shows that different teachers emphasize different aspects of mathematics in their explanations of the same tasks, even though intended to the same students, both in the their choices of explanation and in their use of mathematics. The electricity teachers drew upon their practical electrical knowledge when they connected their explanations of mathematics to vocational work. The electrical knowledge they used not only grounded the tasks in a, for them, well-known real-world environment. The electrical knowledge actually helped them to solve the tasks, albeit in a more concrete/specific way than the mathematics teachers. The electricity teachers drew upon more specific mathematical knowledge in their explanations of the interview tasks, whereas the mathematics teachers drew upon more general mathematical knowledge in their explanations.  The different explanations of mathematics from the two kinds of teachers are markedly different, depending on whether they have a more practical/vocational or a more general/algebraic approach. The solutions to the interview tasks turned out to be the same but the character of the solutions paths are substantially different. This raises questions regarding the students’ abilities to reconcile the different approaches.