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Fostering Mathematical Thinking and Creativity:The Percent Problem

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Open-ended problems can foster deeper understanding of mathematical ideas, generating creative thinking and communication in students. High-order thinking tasks such as open-ended problems involve more ambiguity and higher level of personal risks for students than they are normally exposed to in routine problems. To explore the classroom-based factors that could support or inhibit such higher-order processes, this paper also describes two cases of Singapore primary school teachers who have successfully or unsuccessfully implemented an open-ended problem in their mathematics lessons.

Abstract

Open-ended problems can foster deeper understanding of mathematical ideas, generating creative thinking and communication in students. High-order thinking tasks such as open-ended problems involve more ambiguity and higher level of personal risks for students than they are normally exposed to in routine problems. To explore the classroom-based factors that could support or inhibit such higher-order processes, this paper also describes two cases of Singapore primary school teachers who have successfully or unsuccessfully implemented an open-ended problem in their mathematics lessons.

참고문헌 (10)

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  3. Carroll, W. M., "Using short questions to develop and assess reasoning. in: Developing mathematical reasoning in grades K-12, 1999 Yearbook", pp.247~255 (1999), NCTM
  4. Chang, S. C., "An exploratory analysis of current pedagogical practices in primary mathematics classroom", The NIE Researcher, 1(2), pp.7~8 (2001)
  5. Foong, P. Y., "The role of problems to enhance pedagogical practices in the Singapore classrooms", Math. Educ., 6(2), pp.15~31 (2002)
  6. Foong, P. Y., "Problem solving in primary mathematics. in: Teaching primary school mathematics-A resource book", pp.54~81 (2007), McGraw-Hill Education(Asia)
  7. Foong, P. Y., "Teachers’ Conceptions of Mathematical Creativity. in: Promoting Creativity For All Students In Mathematics Education", pp.133~140 (2008), University of Rousse, Bulgaria
  8. Henningsen, M., "Mathematical tasks and student cognition: Classroom-based factors that support and inhibit high-level mathematical thinking and reasoning", Journal for Research in Mathematics Education, 28(5), pp.524~549 (1997)
  9. Lange, J. de, "Innovation in mathematics education using applications: Progress and problems. in: Innovation in maths education by modeling and applications", pp.3~18 (1993), Ellis Horwood
  10. Stein, M. K., "Implementing standards-based mathematics instruction. A casebook for professional development" (2000), Teachers College Press

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