Vai trò của các bối cảnh tưởng tượng trong các bài toán lời

Mathematics Education Research Journal - Tập 13 - Trang 74-90 - 2001
Lynda Wiest1
1Department of Curriculum and Instruction, University of Nevada, Reno

Tóm tắt

Bài báo này báo cáo về hiệu quả của các bối cảnh khác nhau cho các bài toán lời được đưa ra cho học sinh lớp Bốn và lớp Sáu. Cụ thể, việc sử dụng các bối cảnh tưởng tượng đã được xem xét và so sánh với cả bối cảnh thực tế của người lớn và trẻ em. Nghiên cứu phát hiện rằng học sinh thể hiện sự quan tâm đến các bối cảnh tưởng tượng, và giải quyết các vấn đề sử dụng những bối cảnh này cũng tốt như hoặc tốt hơn so với các vấn đề thực tế.

Từ khóa


Tài liệu tham khảo

Anderman, E. M., & Maehr, M. L. (1994). Motivation and schooling in the middle grades.Review of Educational Research, 64, 287–309.

Baranes, R., Perry, M., & Stigler, J. W. (1989). Activation of real-world knowledge in the solution of word problems.Cognition and Instruction, 6, 287–318.

Bickmore-Brand, J. (1993). Implications from recent research in language arts for mathematical teaching. In J. Bickmore-Brand (Ed.),Language in mathematics (pp. 1–9). Portsmouth, NH:Heinemann.

Boaler, J. (1993a). Encouraging the transfer of ‘school’ mathematics to the ‘real world’ through the integration of process and content, context and culture.Educational Studies in Mathematics, 25, 341–373.

Boaler, J. (1993b). The role of contexts in the mathematics classroom: Do they make mathematics more “real”?For the Learning of Mathematics, 13(2), 12–17.

Boaler, J. (1994). When do girls prefer football to fashion? An analysis of female underachievement in relation to ‘realistic’ mathematic contexts.British Educational Research Journal, 20, 551–564.

Carpenter, T. P., & Moser, J. M. (1982). The development of addition and subtraction problem-solving skills. In T. P. Carpenter & J. M. Moser (Eds.),Addition and subtraction: A cognitive perspective (pp. 9–24). Hillsdale, NJ:Erlbaum.

Chipman, S. F., Marshall, S. P., & Scott, P. A. (1991). Content effects on word problem performance: A possible source of test bias?American Educational Research Journal, 28, 897–915.

Cullinan, B. E., & GaIda, L. (1994).Literature and the child (3rd ed.). Fort Worth:Harcourt Brace College Publishers.

Cummins, D. D., Kintsch, W., Reusser, K., & Weimer, R. (1988). The role of understanding in solving word problems.Cognitive Psychology, 20, 405–438.

Davis-Dorsey, J., Ross, S. M., & Morrison, G. R. (1991). The role of rewording and context personalization in the solving of mathematical word problems.Journal of Educational Psychology, 83, 61–68.

DelFattore, J. (1992).What Johnny shouldn’t read: Textbook censorship in America. New Haven:Yale University Press.

Farber, B. E. (1985).A teacher’s treasury of quotations. Jefferson, NC:McFarland.

Gillespie, J. T., & Naden, C. J. (1994).Middleplots 4: A book talk guide for use with readers ages 8–12. New Providence, NJ:Bowker.

Hart, J. M. (1996). The effect of personalized word problems.Teaching Children Mathematics, 2, 504–505.

Hembree, R. (1992). Experiments and relational studies in problem solving: A meta-analysis.Journal for Research in Mathematics Education, 23, 242–273.

Hiebert, J., Carpenter, T. P., Fennema, E., Fuson, K., Human, P., Murray, H., Olivier, A.,& Wearne, D. (1996). Problem solving as a basis for reform in curriculum and instruction: The case of mathematics.Educational Researcher, 25(4), 12–21.

Huck, C. S., Hepler, S., & Hickman, J. (1993).Children’s literature in the elementary school (5th ed.). Fort Worth:Harcourt Brace Jovanovich College Publishers.

Hume, K. (1984).Fantasy and mimesis. New York:Methuen.

Jones, L., & Smart, T. (1995). Confidence and mathematics: a gender issue?Gender and Education, 7, 157–166.

Kloosterman, P. (1992). Non-routine word problems: One part of a problem-solving program in the elementary school.School Science and Mathematics, 92, 31–37.

Kulm, G. (1984). The classification. of problem-solving research variables. In G. A. Goldin & C. E. McClintock (Eds.),Task variables in mathematical problem solving (pp. 1–21). Philadelphia:The Franklin Institute Press.

Lave, J. (1993). Word problems: A microcosm of theories of learning. In P. Light & G. Butterworth (Eds.),Context and cognition: Ways of learning and knowing (pp. 74–92). Hillsdale, NJ:Erlbaum.

Lepper, M. R., & Hodell, M. (1989). Intrinsic motivation in the classroom. In C. Ames & R. Ames (Eds.),Research on motivation in education: Vol. 3.Goals and cognitions (pp. 73–105). San Diego:Academic Press.

Lester, F. K., Jr., Garofalo, J., & Kroll, D. L. (1989). Self-confidence, interest, beliefs, and metacognition: Key influences on problem-solving behavior. In D. B. McLeod & V. M. Adams (Eds.),Affect and mathematical problem solVing: A new perspective (pp. 75–88). New York:Springer-Verlag.

López, C. L., & Sullivan, H. J. (1991). Effects of personalized math instruction for Hispanic students.Contemporary Educational Psychology, 16, 95–100.

López, C. L., & Sullivan, H. J. (1992). Effect of personalization of instructional context on the achievement and attitudes of Hispanic students.Educational Technology Research and Development, 40(4), 5–13.

Marshall, S. P. (1995).Schemas in problem solving. Cambridge:Cambridge University Press.

Morrison, G. R., Ross, S. M., & Baldwin, W. (1992). Learner control of context and instructional support in learning elementary school mathematics.Educational Technology Research and Development, 40(1), 5–13.

Murphy, L. O., & Ross, S. M. (1990). Protagonist gender as a design variable in adapting mathematics story problems to learner interests.Educational Technology Research and Development, 38(3), 27–37.

National Council of Teachers of Mathematics. (1989).Curriculum and evaluation standards for school mathematics. Reston, VA:Author.

Ornstein, A. C. (1992). The textbook curriculum.Educational Horizons, 70(4), 61–63.

Parker, L. E., & Lepper, M. R. (1992). Effects of fantasy contexts on children’s learning and motivation: Making learning more fun.Journal of Personality and Social Psychology, 62, 625–633.

Prawat, R. S. (1993). The value of ideas: Problems versus possibilities in learning.Educational Researcher, 22(6), 5–16.

Renninger, K. A. (1992). Individual interest and development: Implications for theory and practice. In K. A. Renninger, S. Hidi, & A. Krapp (Eds.),The role of interest in learning and development (pp. 361–395). Hillsdale, NJ:Erlbaum.

Reusser, K. (1988). Problem solving beyond the logic of things: Contextual effects on understanding and solving word problems.Instructional Science, 17, 309–338.

Riley, M. S., Greeno, J. G., & Heller, J. I. (1983). Development of children’s problem-solving ability in arithmetic. In H. P. Ginsburg (Ed.),The development of mathematical thinking (pp. 153–196). Orlando:Academic Press.

Shepard, R. (1988). The imagination of the scientist. In K. Egan & D. Nadaner (Eds.),Imagination and education (pp. 153–185). New York:Teachers College Press.

Stewig, J. W. (1988).Children and literature (2nd ed.). Boston:Houghton Mifflin.

Tunnell, M. O. (1994). The double-edged sword: Fantasy and censorship.Language Arts, 71, 606–612.

Webb, N. (1995, July/August). The textbook business: Education’s big dirty secret.The Harvard Education Letter, 11, 1–3.

Wiest, L. R. (1997). The role of fantasy and real-world problem contexts in fourth- and sixth-grade Students’ mathematical problem solving (Doctoral dissertation, Indiana University, 1996).Dissertation Abstracts International, 57, 5091A.

Willoughby, S. S. (1983). Will real math please stand up?Instructor, 92(8), 58–60.

Zollman, A. (1987). Aspects of transfer of learning in mathematical problem solving with respect to the order of problem presentation (Doctoral dissertation, Indiana University, 1986).Dissertation Abstracts International, 47, 2936A-2937A.

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Mathematics Education Research Journal

Tập 13

74-90

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