O'Reilly logo

The Geometric Supposer by Beth Wilson, Michal Yerushalmy, Judah L. Schwartz

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

4    Generalization in Geometry

Michal Yerushalmy

The University of Haifa

GENERALIZATION, INDUCTION, AND CONJECTURING: A THEORETICAL PERSPECTIVE

A major obstacle in teaching plausible reasoning skills is the confusion among the terms generalization, induction, and conjecturing. First, generalization is a label for both a process and the products of this process: The process of generalization creates a generalization. This confusion is compounded by the custom of labeling the product of induction as a generalization as well. Conjectures can be developed through both induction and generalization. Second, the words generalization (in its process meaning) and induction are often used interchangeably. For example, “A further simplification ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required