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)|
|Number of pages||14|
|Journal||International Journal of Mathematical Education in Science and Technology|
|State||Published - May 1 1988|
ASJC Scopus subject areas
- Mathematics (miscellaneous)
- Applied Mathematics