Abstract
Three chapters of the syllabus of a basic mathematics course for engineering students at the Technion† were adapted for the student’s independent development of mathematical knowledge by means of solving a chain of inductive problem-sequences: (i) vectors and scalars in the plane; (ii) vectors in the threedimensional space; (iii) planes and lines in the 3-dimensional space. The main principles which guided the adaptation of course materials for this purpose are presented. In particular an inductive problem-sequence is defined as a sequence consisting of problems which lead the learner to investigate particular cases, discover a common regularity, make a conjecture about a unifying rule, and finally prove or refute the conjecture. The major part of the paper is an annotated analysis of an excerpt of the materials.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 421-434 |
| Number of pages | 14 |
| Journal | International Journal of Mathematical Education in Science and Technology |
| Volume | 19 |
| Issue number | 3 |
| DOIs | |
| State | Published - May 1 1988 |
ASJC Scopus subject areas
- Mathematics (miscellaneous)
- Education
- Applied Mathematics