### 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)
- Education
- Applied Mathematics

### Cite this

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

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