Descriptor
Source
| For the Learning of… | 2 |
Publication Type
| Journal Articles | 2 |
| Opinion Papers | 2 |
| Guides - Classroom - Teacher | 1 |
| Guides - Non-Classroom | 1 |
Education Level
Audience
| Practitioners | 1 |
| Teachers | 1 |
Location
Laws, Policies, & Programs
Assessments and Surveys
What Works Clearinghouse Rating
Peer reviewedHarel, Guershon; Tall, David – For the Learning of Mathematics, 1991
The terms generalization and abstraction are used with various shades of meaning by mathematicians and mathematics educators. Introduced is the idea of "generic abstraction" that gives the student an operative sense of a mathematical concept and provides a passage point in the process toward formal abstraction. (MDH)
Descriptors: Cognitive Processes, Concept Formation, Generalization, Learning Theories
Peer reviewedAvital, Shmuel; Barbeau, Edward J. – For the Learning of Mathematics, 1991
Presents 13 examples in which the intuitive approach to solve the problem is often misleading. Presents analysis of these problems for five different sources of misleading intuitive generators: lack of analysis, unbalanced perception, improper analogy, improper generalization, and misuse of symmetry. (MDH)
Descriptors: Cognitive Development, Cognitive Processes, Generalization, Geometric Concepts
