ERIC Number: ED178366
Record Type: RIE
Publication Date: 1979-Nov
Reference Count: 0
Task Variables in Mathematical Problem Solving.
Goldin, Gerald A., Ed.; McClintock, C. Edwin, Ed.
A framework for research in problem solving is provided by categorizing and defining variables describing problem tasks. A model is presented in an article by Kulm for the classification of task variables into broad categories. The model attempts to draw realtionships between these categories of task variables and the stages of problem solving which they principally influence. Articles by Barnett, Webb, Goldin, and McClintock define and discuss each category of task variables, give examples, survey the existing research literature, and explore the theoretical implications of task variables within the category. The categories covered are syntax variables, content and context variables, structure and complexity variables, and heuristic processes. Experimental studies for which the description or control of task variables was a major theme are summarized in articles by Goldin and Caldwell, Waters, Days, Luger, Harik, and Branca et. al. These studies illustrate the various techniques described earlier, and provide evidence of their importance to research outcomes. In articles by Caldwell, Luger, and Schoenfeld, teaching applications are described, with examples of unit plans based on the systematic manipulation of task variables for instructional purposes. The book concludes with reaction papers by Jerman and by Kilpatrick, noted researchers in mathematics education. (MP)
Descriptors: Cognitive Development, Concept Formation, Elementary Secondary Education, Higher Education, Literature Reviews, Mathematics Education, Mathematics Instruction, Problem Solving, Research Reviews (Publications), Teaching Methods, Unit Plan
Information Reference Center (ERIC/IRC), The Ohio State University, 1200 Chambers Rd., 3rd Floor, Columbus, OH 43212 (write for correct price)
Publication Type: Books; Reports - Research
Education Level: N/A
Sponsor: National Inst. of Education (DHEW), Washington, DC.
Authoring Institution: ERIC Clearinghouse for Science, Mathematics, and Environmental Education, Columbus, OH.
Identifiers: Information Analysis Products; Research Variables
Note: Document prepared with the assistance of the Georgia Center for the Study of Learning and Teaching Mathematics