Problem Posing in Mathematical Investigation / Joseph B. W. Yeo.
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 ea...
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| Language: | English |
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2012.
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MARC
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| 100 | 1 | |a Yeo, Joseph B. W. | |
| 245 | 1 | 0 | |a Problem Posing in Mathematical Investigation / |c Joseph B. W. Yeo. |
| 264 | 1 | |a [Place of publication not identified] : |b Distributed by ERIC Clearinghouse, |c 2012. | |
| 300 | |a 1 online resource (8 pages) | ||
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| 500 | |a Availability: 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: sales@merga.net.au; Web site: http://www.merga.net.au/. |5 ericd. | ||
| 500 | |a Abstractor: As Provided. |5 ericd. | ||
| 516 | |a Text (Reports, Research) | ||
| 516 | |a Text (Speeches/Meeting Papers) | ||
| 520 | |a 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. | ||
| 524 | |a 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). |2 ericd. | ||
| 650 | 0 | 7 | |a High Achievement. |2 ericd. |
| 650 | 0 | 7 | |a Mathematics Instruction. |2 ericd. |
| 650 | 0 | 7 | |a Mathematics Achievement. |2 ericd. |
| 650 | 0 | 7 | |a Cognitive Processes. |2 ericd. |
| 650 | 0 | 7 | |a Mathematical Logic. |2 ericd. |
| 650 | 0 | 7 | |a Video Technology. |2 ericd. |
| 650 | 0 | 7 | |a Pretests Posttests. |2 ericd. |
| 650 | 0 | 7 | |a Mathematics Tests. |2 ericd. |
| 650 | 0 | 7 | |a Problem Solving. |2 ericd. |
| 710 | 2 | |a Mathematics Education Research Group of Australasia. | |
| 856 | 4 | 0 | |u http://files.eric.ed.gov/fulltext/ED573403.pdf |z Full Text (via ERIC) |
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| 952 | f | f | |p Can circulate |a University of Colorado Boulder |b Online |c Online |d Online |e ED573403 |h Other scheme |i web |n 1 |