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      The Textbook Analysis on Probability: The Case of Korea, Malaysia and U.S. Textbooks = The Textbook Analysis on Probability: The Case of Korea, Malaysia and U.S. Textbooks

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      https://www.riss.kr/link?id=A82648577

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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 teachi...

      "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.

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      참고문헌 (Reference)

      1 Reys, B. J, "Why mathematics textbooks matter" 62 (62): 61-66, 2004

      2 Fast, G. R., "Using analogies to overcome student teachers’ probability misconceptions" 16 (16): 325-344, 1997

      3 Metz, M. L., "Using GAISE and NCTM standards as frameworks for teaching probability and statistics to pre-service elementary and middle school mathematics teachers" 18 (18): 1-27, 2010

      4 Conners, F. A, "Unique challenges in teaching undergraduate statistics" 25 (25): 40-42, 1998

      5 Gal, I., "Towards “probability literacy” for all citizens: Building blocks and instructional dilemmas, In Exploring probability in school: Challenges for teaching and learning" Springer 39-63, 2005

      6 Watson, J., "The probabilistic reasoning of middle school students, In Exploring probability in school: Challenges for teaching and learning" Springer 39-63, 2005

      7 Altbach, P. G., "Textbooks in the third world: An overview, In Textbooks in the third world: Policy, content and context" Garland 3-17, 1988

      8 Kulm, G., "Textbook use and student learning of number and algebra ideas, In Teacher knowledge and practice in middle grades mathematics" Sense 147-172, 2008

      9 Molix-Bailey, R. J, "Texas mathematics: Course 1(Grade 6)" Glencoe, McGraw-Hill 2007

      10 Mullis, I.V.S, "TTIMSS 2007 Assessment Frameworks" TIMMS and PIRLS International Study Centre 2007

      1 Reys, B. J, "Why mathematics textbooks matter" 62 (62): 61-66, 2004

      2 Fast, G. R., "Using analogies to overcome student teachers’ probability misconceptions" 16 (16): 325-344, 1997

      3 Metz, M. L., "Using GAISE and NCTM standards as frameworks for teaching probability and statistics to pre-service elementary and middle school mathematics teachers" 18 (18): 1-27, 2010

      4 Conners, F. A, "Unique challenges in teaching undergraduate statistics" 25 (25): 40-42, 1998

      5 Gal, I., "Towards “probability literacy” for all citizens: Building blocks and instructional dilemmas, In Exploring probability in school: Challenges for teaching and learning" Springer 39-63, 2005

      6 Watson, J., "The probabilistic reasoning of middle school students, In Exploring probability in school: Challenges for teaching and learning" Springer 39-63, 2005

      7 Altbach, P. G., "Textbooks in the third world: An overview, In Textbooks in the third world: Policy, content and context" Garland 3-17, 1988

      8 Kulm, G., "Textbook use and student learning of number and algebra ideas, In Teacher knowledge and practice in middle grades mathematics" Sense 147-172, 2008

      9 Molix-Bailey, R. J, "Texas mathematics: Course 1(Grade 6)" Glencoe, McGraw-Hill 2007

      10 Mullis, I.V.S, "TTIMSS 2007 Assessment Frameworks" TIMMS and PIRLS International Study Centre 2007

      11 Carter, T. A., "Stochastic misconceptions of pre-service teachers" 9 : 105-111, 2005

      12 Hake, S., "Saxon math: Course 6" Saxon 2007

      13 Larson, N., "Saxon math 6" Saxon 1991

      14 Hirsch, L. S., "Representativeness in statistical reasoning: Identifying and assessing misconceptions" 9 (9): 61-82, 2001

      15 Stohl, H., "Probability in teacher education and development, In Exploring probability in school: Challenges for teaching and learning" Springer 345-366, 2005

      16 Lee, J. Y, "Middle school mathematics (in Korean 수학)" Chunjae 2009

      17 Capraro, M. M, "Middle grades: Misconceptions in statistical thinking" 105 (105): 165-174, 2005

      18 American Association for the Advancement of Science, "Middle grade mathematics textbooks: A benchmarks-based evaluation"

      19 Shaughnessy, J. J., "Memory monitoring accuracy and modification of rehearsal starategies" 20 : 216-230, 1981

      20 Johansson, M., "Mathematics textbooks: The link between the intended and the implement-ed curriculum? " Universiti Teknologi Malaysia 2005

      21 Yoong, C. C, "Mathematics Form 4" Cerdik Publications 2005

      22 Charles, R. I., "Mathematics Course 3" Prentice Hall 2008

      23 Cai, J, "Intended treatments of arithmetic average in U.S. and Asian school mathematics" 102 (102): 391-404, 2002

      24 Hock, L. S, "Integrated curricu-lum for secondary schools: Mathematics form 4" Darul Fikir 2005

      25 Stein, M. K, "How curriculum influences student learning, In Second handbook of research on mathematics teaching and learning" Information Age 319-370, 2007

      26 Chen, J. C., "How are textbooks used in the middle schools? Science and Mathematics" 241 : 692-698, 2006

      27 Franklin, C, "Guidelines for assessment and instruction in statistics education (GAISE) report" American Statistical Association 2007

      28 Garfield, S. L., "Giving up on child psychotherapy: Who drops out? Comment on Weisz, Weiss, and Langmeyer" 57 (57): 168-169, 1989

      29 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" 4 (4): 609-626, 2006

      30 Bragg, L., "Designing open-ended problems to challenge preservice teachers’ views on mathematics and pedagogy" PME 256-270, 2008

      31 Carpenter, T. P, "Decimals: Results and implications from the second NAEP mathematics assessment" 28 (28): 34-37, 1981

      32 Baroody, A. J, "Children’s use of mathematical structure" 14 (14): 156-168, 1983

      33 Mokros, J., "Children’s concepts of average and representativeness" 26 (26): 20-39, 1995

      34 Hodges, J. L., "Basic concepts of probability and statistics" Holden-Day 1964

      35 Leech, N. L., "An array of qualitative data analysis tools: A call for qualitative data analysis triangulation" 22 (22): 557-584, 2007

      36 Carlson, M., "A cross-sectional investigation of the development of the function concept, In Research in Collegiate Mathematics Education, Vol. 7" American Mathematical Society 114-162, 1998

      37 Land, S. M., "A conceptual framework for the development of theories-in-action with open-ended learning environments" 44 (44): 37-53, 1996

      38 Kulm, G, "A benchmarks-based approach to textbook evaluation" 35 (35): 147-153, 1999

      39 Kang, O. G, "8-Na mathematics (in Korean 8-나 수학)" Doosan 2009

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