An approach to polynomial approximations that leads the student to stumble on Taylor's theorem and its proof is presented, with a generalization. (MNS)

A proof for a limit is given, with a recommended presentation consisting of three lemmas followed by the theorem. (MNS)

Why calculus is taught in secondary schools is discussed, as well as how "modern mathematics" affected calculus, is calculus so difficult, and how calculus should be taught. (MNS)

In this paper we study how a student begins to acquire the concept of the derivative, what kind of representations he acquires and how he connects these representations. A teaching period, in which different perceptual and symbolic representation were emphasized, was carried out and task based interviews conducted to five students. The students…

Three short articles on teaching procedures are presented. They concern: (1) a simple introduction to the derivative; (2) using derivatives to solve polynomial equations; and (3) mathematical applications in problems concerning force due to gravity. (JG)