ERIC Number: ED419714
Record Type: RIE
Publication Date: 1997
Use of Open-Ended Problems in Mathematics Classroom. Research Report 176.
Pehkonen, Erkki, Ed.
During the years 1993-96, there has existed an active discussion group entitled "Using Open-Ended Problems in Mathematics" as a part of the scientific program of the Psychology of Mathematics Education (PME) conference. This report contains revised versions of presentations given in the discussion group. Since the PME is an international organization and the presenters were selected from different parts of the world, this book gives a worldwide view of the use of open-ended problems in the mathematics classroom. Most contributors hail from Australia, Japan, and the United Kingdom since in these countries, there is a long tradition of using open-ended problems. There were also presentations from other countries including Finland and Taiwan. Most of the papers concentrate on the realization of mathematics teaching with open-ended problems and give a variety of examples. There are also two critical papers that bring forth some uncomfortable and unasked questions regarding the use of open-ended problems. Papers include: (1) "Introduction To the Concept 'Open-Ended Problem'" (Erkki Pehkonen); (2) "Implementing Open Problem-Solving, Some Pitfalls of Curriculum Development through Assessment in the UK" (Paul Blanc); (3) "On the Open-Ended Nature in Mathematical Problem Posing" (Shuk-kwan S. Leung); (4) "Testing Problem Solving in a High-Stakes Environment" (Barry McCrae and Kaye Stacey); (5) "The Institutionalisation of Open-Ended Investigation: Some Lessons from the U.K. Experience" (Candia Morgan); (6) "Communication and Negotiation through Open-Approach Method" (Nobuhiko Nohda and Hideyo Emori); (7) "Use of Problem Fields as a Method for Educational Change" (Erkki Pehkonen); (8) "On the Use of What-If-Not Strategy for Posing Problem" (Hye Sook Seo); (9) "Learning Mathematics through Exploration of Open-Ended Tasks: Describing the Activity of Classroom Participants" (Peter Sullivan, Dianne Bourke, and Anne Scott); (10) "Teaching Children To Think Mathematically" (Howard Tanner and Sonia Jones); and (11) "Literature on Open-Ended Problems" (Erkki Pehkonen). (Author/ASK)
Descriptors: Educational Assessment, Educational Change, Elementary Secondary Education, Foreign Countries, Inquiry, Mathematics Education, Mathematics Instruction, Problem Solving
University of Helsinki, Dept. of Teacher Education, P.O. Box 38 (Ratakatu 6A), Helsinki 00014, Finland.
Publication Type: Collected Works - Proceedings
Education Level: N/A
Authoring Institution: Helsinki Univ., (Finland). Dept. of Teacher Education.
Grant or Contract Numbers: N/A