Inductive problem-sequences for independent study of linear algebra

Orit 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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Linear algebra
Students
Basic mathematics
syllabus
regularity
student
Regularity
Scalar
mathematics
engineering
Engineering
Three-dimensional
Line

ASJC Scopus subject areas

  • Mathematics (miscellaneous)
  • Applied Mathematics
  • Education

Cite this

Inductive problem-sequences for independent study of linear algebra. / Zaslavsky, Orit; Movshovitz-Hadar, N.

In: International Journal of Mathematical Education in Science and Technology, Vol. 19, No. 3, 01.05.1988, p. 421-434.

Research output: Contribution to journalArticle

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