ERIC Number: ED106124
Record Type: RIE
Publication Date: 1975-Feb
Reference Count: 0
Protocol Materials in Mathematics Education: Selection of Concepts. Report No. 1.
Cooney, Thomas J.; And Others
The basic premise of this report is that in addition to knowledge of subject matter and psychological principles, teachers should have the ability to think about the subject matter and to perform the logical operations used in manipulating it. The basic objects of mathematics instruction are concepts and principles, and, therefore, the focus of this report is the definition of moves and strategies in operating on and teaching these. The "concept of a concept" is discussed, and a taxonomy of concepts defined. Eight types of connotative moves and six types of denotative moves are defined and exemplified. Strategies (sequences of moves) for teaching concepts are then discussed. The nature and importance of principles in mathematics are discussed, and several methods of characterizing principles are compared. Six basic moves for the teaching of principles are identified and associated with key expressions. Rationale for selecting concepts and principles is discussed. (SD)
Publication Type: Reports - Research
Education Level: N/A
Sponsor: National Center for Improvement of Educational Systems (DHEW/OE), Washington, DC.
Authoring Institution: National Center for the Development of Training Materials in Teacher Education, Bloomington, IN.