Abadi, S. Fiangga
In the course of Integral Calculus, to be able to calculate an integral of a given function is becoming the main idea in the teaching beside the ability in implementing the application of integral. The students tend to be unable to understand the conceptual idea of what is integration actually. One of the promising perspectives that can be used to invite students to discover the idea of integral is the History and Pedagogy Mathematics (HPM). The method of exhaustion and indivisible appear in the discussion on the early history of area measurement. This paper study will discuss the designed learning activities based on the method of exhaustion and indivisible in providing the undergraduate student's discovery materials for integral using design research. The designed learning activities were conducted into design experiment that consists of three phases, i.e., preliminary, design experimental, and teaching experiment. The teaching experiment phase was conducted in two cycles for refinement purpose. The finding suggests that the implementation of the method of exhaustion and indivisible enable students to reinvent the idea of integral by using the concept of derivative. © Published under licence by IOP Publishing Ltd.
Mathematics Department, Universitas Negeri Surabaya, Ketintang, Surabaya, 60231, Indonesia
