Inductive problem-sequences for independent study of linear algebra

O. Zaslavsky, N. Movshovitz-Hadar

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)421-434
Number of pages14
JournalInternational Journal of Mathematical Education in Science and Technology
Volume19
Issue number3
DOIs
StatePublished - May 1 1988

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ASJC Scopus subject areas

  • Mathematics (miscellaneous)
  • Education
  • Applied Mathematics

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