### 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 |

### Fingerprint

### ASJC Scopus subject areas

- Mathematics (miscellaneous)
- Applied Mathematics
- Education

### Cite this

*International Journal of Mathematical Education in Science and Technology*,

*19*(3), 421-434. https://doi.org/10.1080/0020739880190308

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

Research output: Contribution to journal › Article

*International Journal of Mathematical Education in Science and Technology*, vol. 19, no. 3, pp. 421-434. https://doi.org/10.1080/0020739880190308

}

TY - JOUR

T1 - Inductive problem-sequences for independent study of linear algebra

AU - Zaslavsky, Orit

AU - Movshovitz-Hadar, N.

PY - 1988/5/1

Y1 - 1988/5/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84946340542&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84946340542&partnerID=8YFLogxK

U2 - 10.1080/0020739880190308

DO - 10.1080/0020739880190308

M3 - Article

AN - SCOPUS:84946340542

VL - 19

SP - 421

EP - 434

JO - International Journal of Mathematical Education in Science and Technology

JF - International Journal of Mathematical Education in Science and Technology

SN - 0020-739X

IS - 3

ER -