The Textbook Analysis on Probability: The Case of Korea, Malaysia and U.S. Textbooks
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“Statistical literacy” is important to be an effective citizen ([Gal, I. (2005). Towards “probability literacy” for all citizens: Building blocks and instructional dilemmas. In: G. A. Jones (Ed.), Exploring probability in school: Challenges for teaching and learning (pp. 39–63). New York: Springer]). Probability and statistics has been connected with real context and can be used to stimulate students’ creative abilities. This study aims at identifying the extent that textbooks in three countries include experimental probability concepts and non-routine, open-ended, application and contextual problems. How well textbooks reflect real application situations is important in the sense that students can employ probability concepts when solving real world problems. Results showed that three textbook series did not mention experimental probability. Furthermore, all of textbooks had more routine, close-ended, knowing, and non-contextual problems.
Abstract
“Statistical literacy” is important to be an effective citizen ([Gal, I. (2005). Towards “probability literacy” for all citizens: Building blocks and instructional dilemmas. In: G. A. Jones (Ed.), Exploring probability in school: Challenges for teaching and learning (pp. 39–63). New York: Springer]). Probability and statistics has been connected with real context and can be used to stimulate students’ creative abilities. This study aims at identifying the extent that textbooks in three countries include experimental probability concepts and non-routine, open-ended, application and contextual problems. How well textbooks reflect real application situations is important in the sense that students can employ probability concepts when solving real world problems. Results showed that three textbook series did not mention experimental probability. Furthermore, all of textbooks had more routine, close-ended, knowing, and non-contextual problems.
참고문헌 (39)
- Altbach, P. G., "Textbooks in the third world: An overview, In Textbooks in the third world: Policy, content and context", pp.3~17 (1988), Garland
- "Middle grade mathematics textbooks: A benchmarks-based evaluation"[URL]
- Baroody, A. J, "Children’s use of mathematical structure", J. Res. Math. Educ, 14(3), pp.156~168 (1983)
- Bragg, L., "Designing open-ended problems to challenge preservice teachers’ views on mathematics and pedagogy", Proceedings of the Joint Meeting of the 32nd Conference of the International Group for the Psychology of Mathematics Education and the North American Chapter, 통권 : 2, pp.256~270 (2008), PME
- Cai, J, "Intended treatments of arithmetic average in U.S. and Asian school mathematics", Sch. Sci. Math, 102(8), pp.391~404 (2002)
- Carlson, M., "A cross-sectional investigation of the development of the function concept, In Research in Collegiate Mathematics Education, Vol. 7", pp.114~162 (1998), American Mathematical Society
- Chen, J. C., "How are textbooks used in the middle schools? Science and Mathematics", Journal in Republic of China, 241, pp.692~698 (2006)
- Capraro, M. M, "Middle grades: Misconceptions in statistical thinking", Sch. Sci. Math, 105(4), pp.165~174 (2005)
- Carpenter, T. P, "Decimals: Results and implications from the second NAEP mathematics assessment", Arithmetic Teacher, 28(8), pp.34~37 (1981)
- Carter, T. A., "Stochastic misconceptions of pre-service teachers", Aca-demic Exchange Quarterly, 9, pp.105~111 (2005)
- Charles, R. I., "Mathematics Course 3" (2008), Prentice Hall
- Conners, F. A, "Unique challenges in teaching undergraduate statistics", Teach. Psychol, 25(1), pp.40~42 (1998)
- Fast, G. R., "Using analogies to overcome student teachers’ probability misconceptions", J. Math. Behav, 16(4), pp.325~344 (1997)
- Guidelines for assessment and instruction in statistics education (GAISE) report, "Franklin, C", American Statistical Association, ~ (2007)
- Gal, I., "Towards “probability literacy” for all citizens: Building blocks and instructional dilemmas, In Exploring probability in school: Challenges for teaching and learning", pp.39~63 (2005), Springer
- Garfield, S. L., "Giving up on child psychotherapy: Who drops out? Comment on Weisz, Weiss, and Langmeyer", Journal of Consulting and Clinical Psychology, 57(6), pp.168~169 (1989)
- Hake, S., "Saxon math: Course 6" (2007), Saxon
- Hirsch, L. S., "Representativeness in statistical reasoning: Identifying and assessing misconceptions", Journal of Statistics Education, 9(2), pp.61~82 (2001)
- Hock, L. S, "Integrated curricu-lum for secondary schools: Mathematics form 4" (2005), Darul Fikir
- Hodges, J. L., "Basic concepts of probability and statistics" (1964), Holden-Day
- Johansson, M., "Mathematics textbooks: The link between the intended and the implement-ed curriculum?", Paper presented at the The Mathematics Education into the 21st Century Project: Reform, Revolution and Paradigm Shifts in Mathematics Education (2005), Universiti Teknologi Malaysia
- Kang, O. G, "8-Na mathematics (in Korean 8-나 수학)" (2009), Doosan
- Kulm, G., "Textbook use and student learning of number and algebra ideas, In Teacher knowledge and practice in middle grades mathematics", pp.147~172 (2008), Sense
- Kulm, G, "A benchmarks-based approach to textbook evaluation", Science Books & Films, 35(4), pp.147~153 (1999)
- Land, S. M., "A conceptual framework for the development of theories-in-action with open-ended learning environments", Educational Technology Research & Development, 44(3), pp.37~53 (1996)
- Larson, N., "Saxon math 6" (1991), Saxon
- Lee, J. Y, "Middle school mathematics (in Korean 수학)" (2009), Chunjae
- Leech, N. L., "An array of qualitative data analysis tools: A call for qualitative data analysis triangulation", School Psychology Quarterly, 22(4), pp.557~584 (2007)
- Metz, M. L., "Using GAISE and NCTM standards as frameworks for teaching probability and statistics to pre-service elementary and middle school mathematics teachers", J. Stat. Educ, 18(3), pp.1~27 (2010)
- Molix-Bailey, R. J, "Texas mathematics: Course 1(Grade 6)" (2007), Glencoe, McGraw-Hill
- Mokros, J., "Children’s concepts of average and representativeness", Journal for Research in Mathematics Education, 26(1), pp.20~39 (1995)
- Mullis, I.V.S, "TTIMSS 2007 Assessment Frameworks" (2007), TIMMS and PIRLS International Study Centre
- Reys, B. J, "Why mathematics textbooks matter", Educational Leadership, 62(5), pp.61~66 (2004)
- Shaughnessy, J. J., "Memory monitoring accuracy and modification of rehearsal starategies", Journal of Verbal Learning and Verbal Behavior, 20, pp.216~230 (1981)
- Stein, M. K, "How curriculum influences student learning, In Second handbook of research on mathematics teaching and learning", pp.319~370 (2007), Information Age
- Stohl, H., "Probability in teacher education and development, In Exploring probability in school: Challenges for teaching and learning", pp.345~366 (2005), Springer
- Watson, J., "The probabilistic reasoning of middle school students, In Exploring probability in school: Challenges for teaching and learning", pp.39~63 (2005), Springer
- Yan, Z., "Focus on the representation of problem types in intended curricu-lum: A comparison of selected mathematics textbooks from mainland China and the United States", Int. J. Sci. Math. Educ, 4(4), pp.609~626 (2006)
- Yoong, C. C, "Mathematics Form 4" (2005), Cerdik Publications
