ERIC Number: ED573403
Record Type: Non-Journal
Publication Date: 2012-Jul
Abstractor: As Provided
Reference Count: 20
Problem Posing in Mathematical Investigation
Yeo, Joseph B. W.
Mathematics Education Research Group of Australasia, Paper presented at the Annual Meeting of the Mathematics Education Research Group of Australasia (MERGA) (35th, Singapore, Jul 2-6, 2012)
This paper reports on the types of problems that high-achieving students posed when given investigative tasks that were constructed by opening up some mathematical problems. A teaching experiment was conducted to develop the students' thinking processes during mathematical investigation, and each student was videotaped thinking aloud during a pretest and a posttest. The findings show that some students were unable to pose the original intended problems and what Krutetskii (1976) called problems that "naturally follow" from the task, including extending the task to generalise. The implications of the difficulty encountered by these students for teaching and research will also be discussed.
Descriptors: High Achievement, Mathematics Instruction, Mathematics Achievement, Cognitive Processes, Mathematical Logic, Video Technology, Pretests Posttests, Mathematics Tests, Problem Solving
Mathematics Education Research Group of Australasia. GPO Box 2747, Adelaide SA 5001, Australia. Tel: +61-8-8363-0288; Fax: +61-8-8362-9288; e-mail: firstname.lastname@example.org; Web site: http://www.merga.net.au/
Publication Type: Reports - Research; Speeches/Meeting Papers
Education Level: N/A
Authoring Institution: Mathematics Education Research Group of Australasia