질의응답

참고문헌 (75)

1. Adjiage, R., & Pluvinage, F. (2007). An experiment in teaching ratio and proportion. Educational Studies in Mathematics. 65, 149-175. 

   상세보기

2. Akatugba, A. H., & Wallace, J. (1999). Sociocultural influences on physics students' use of proportional reasoning in a non-western country. Journal of Research in Science Teaching, 36(3), 305-320. 

   상세보기

3. Akatugba, A. H., & Wallace, J. (2009). An integrative perspective on students' proportional reasoning in high school physics in a West African context. International Journal of Science Education, 31(11), 1473-1493. 

   상세보기

4. An, S. (2008). A survey on the proportional reasoning ability of fifth, sixth, and seventh graders. Journal of Educational Research in Mathematics, 18(1), 103-121. 

5. Angell, C., Kind, P. M., Henriksen, E. K., & Guttersrud, O. (2008). An empirical-mathematical modelling approach to upper secondary physics. Physics Education, 43(3), 256-264. 

   상세보기

6. Bar. V. (1987). Comparison of the development of ratio concepts in two domains. Science Education, 71(4), 599-613. 

   상세보기

7. Beland, A., & Mislevy, R. J. (1996). Probability-based inference in a domain of proportional reasoning tasks. Journal of Educational Measurement, 33(1), 3-27. 

   상세보기

8. Ben-Chaim, D., Fey, J. T., Fitzgerald, W. M., Benedetto, C., & Miller, J. (1998). Proportional reasoning among 7thgrade students with different curricular experiences. Educational Studies in Mathematics, 36(3), 247-273. 

   상세보기

9. Booth, J. L., & Siegler, R. S. (2006). Developmental and individual differences in pure numerical estimation. Developmental Psychology, 41(6), 189-201. 

10. Booth, J. L., & Siegler, R. S. (2008). Numerical magnitude representations influence arithmetic learning. Child Development, 79(4), 1016-1031. 

    상세보기

11. Cheek, K. A. (2010). Why is geologic time troublesome knowledge? In J. H. F. Meyer, R. Land, & C. Baillie (Eds.), Threshold concepts and transformational learning (pp.117-129). Rotterdam: Sense Publishers. 

12. Clark, F., & Kamii, C. (1996). Identification of multiplicative thinking in children in grades 1-5. Journal for Research in Mathematics Education, 27(1), 41-51. 

    상세보기

13. Dawkins, K. R., Dickerson, D. L., McKinney, S. E., & Butler, S. (2008). Teaching density to middle school students: Preservice science teachers' content knowledge and pedagogical practices. The Clearing House: A Journal of Educational Strategies, Issues, and Ideas, 82(1), 21-26. 

    상세보기

14. De Lozano, S. R., & Cardenas, M. (2002). Some learning problems concerning the use of symbolic language in physics. Science Education, 11, 589-599. 

    상세보기

15. Dehaene, S. (2011). The number sense: How the mind creates mathematics. (Revised & Expanded Edition), New York, NY: Oxford University Press. 

16. Drane, D., Swarat, S., Light, G., Hersam, M., & Mason, T. (2009). An evaluation of the efficacy and transferability of a nanoscience module. Journal of Nano Education, 1(1), 8-14. 

    

17. Erickson, T. (2006). Stealing from physics: modeling with mathematical functions in data-rich contexts. Teaching Mathematics and its Applications, 25(1), 23-32. 

    상세보기

18. Evans, K. L., Yaron, D., & Leinhardt, G. (2008). Learning stoichiometry: a comparison of text and multimedia formats. Chemistry Education Research and Practice, 9(3), 208-218. 

    상세보기

19. Fauvel, J. (1995). Revisiting the history of logarithms. Learn from the Masters, 39-48. 

20. Fischbein, E., Deri, M., Nello, M. S., & Marino, M. S. (1985). The role of implicit models in solving verbal problems in multiplication and division. Journal for Research in Mathematics Education, 16 (1), 3-17. 

    상세보기

21. Guckin, A. M., & Morrison, D. (1991). Math*Logo: A project to develop proportional reasoning in college freshmen. School Science and Mathematics, 91(2), 77-81. 

    상세보기

22. Hart, K. M. Brown, M. L., Kuchemann, D. E., Kerslake, D., Ruddock, G., & McCartney, M. (1981). Children's understanding of mathematics: 11-16. London: John Murray. 

23. Hart, K. M. (1988). Ratio and proportion. In J. Hiebert, & M. Behr (Eds.), Number concepts and operations in the middle grades (pp.198-219). Reston, VA: National Council of Teacher of Mathematics. 

24. Hines, E., & McMahon, M. T. (2005). Interpreting middle school students' proportional reasoning strategies: Observations from preservice teachers. School Science and Mathematics, 105(2), 88-105. 

    상세보기

25. Hodson, D. (1985). Philosophy of science, science and science education. Studies in Science Education, 12(1), 25-57. 

    상세보기

26. Hofstein, A., & Lunetta, V. N. (1982). The role of the laboratory in science teaching: Neglected aspects of research. Review of Educational Research, 52(2), 201-217. 

    상세보기

27. Inhelder, B., & Piaget, J. (1958). The growth of logical thinking from childhood to adolescence. New York: Basic Books, Inc. 

28. Jang, M., & Park, M. (2006). A study on the multiplicative thinking of 2nd grade elementary students. Communications of Mathematical Education. Series E, 20(3), 443-467. 

29. Jones, M. G., Taylor, A., & Broadwell, B. (2009). Concepts of scale held by students with visual impairment. Journal of Research in Science Teaching, 46(5), 506-519. 

    상세보기

30. Jones, M. G., Taylor, A., Minogue, J., Broadwell, B., Wiebe, E., and Carter, G. (2006). Understanding scale: Powers of ten. Journal of Science Education and Technology, 16(2), 191-202. 

31. Kadosh, R., Tzelgov, J., & Henik, A. (2008). A synthetic walk on the mental number line: The size effect. Cognition, 106, 548-557. 

    상세보기

32. Kamii, C., & Livingston, S. (1994). Young children continue to reinvent arithmetic, 3rdgrade. New York: Teachers College Press. 

33. Kim, J., & Bang, J. (2013). An analysis on third graders' multiplicative thinking and proportional reasoning ability. Journal of Educational Research in Mathematics, 23(1), 1-16. 

34. Kohn, A. S. (1993). Preschoolers' reasoning about density: Will it float? Child Development, 64, 1637-1650. 

    상세보기

35. Korea Foundation for the Advancement of Science & Creativity. 2009 -Revised national curriculum. 

36. Lamon, S. J. (1993). Ratio and proportion: Connecting content and children's thinking. Journal for Research in Mathematics Education, 24(1), 41-61. 

    상세보기

37. Lamon, S. J. (1994). Ratio and proportion: Cognitive foundations in unitizing and norming. In G. J. Harel, & J, Confrey (Eds.) The development of multiplicative reasoning in the learning of mathematics (pp. 89-122). Albany, NY: State University of New York Press. 

38. Lee, H., Son, D., Kwon, H., Park, K., Han, I., Jeong, H., Lee, S., Oh, H., & Nam, J. (2012). Secondary teachers' perceptions and needs analysis on integrative STEM education. Journal of the Korean Association for Science Education, 32(1), 30-45. 

    원문보기 상세보기

39. Lesh, R., Post, R., & Behr, M. (1988). Proportional reasoning. In J. M. Hiebert Behr (Ed.), Number concepts and operations in the middle grades (pp. 93-118). Reston, VA: National Council of Teachers of Mathematics. 

40. Lindquist, M. (1989). Results from the fourth mathematics assessment of the national assessment of educational progress. Reston, VA: National Council of Teachers of Mathematics. 

41. National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Retrieved from http://www.nctm.org/standards/content.aspx?id16909 

42. National Research Council (1996). National science education standards. Washington, D. C: National Academy Press. 

43. Noelting, G. (1980). The development of proportional reasoning and the ratio concept Part I-Differentiation of stages. Educational studies in Mathematics, 11(2), 217-253. 

    상세보기

44. O'Brien, T., & Casey, S. (1983). Children learning multiplication. School Science and Mathematics. 83, 246-251 

    상세보기

45. Oon, P. T., & Subramaniam, R. (2011). On the declining interest in physics among students-from the perspective of teachers. International Journal of Science Education, 33(5), 727-746. 

    상세보기

46. Park, E-J., & Choi, K. (2010). Analysis of mathematical structure to identify students' understanding of a scientific concept: pH value and scale. Journal of the Korean Association for Science Education, 30(7), 920-932. 

    원문보기 상세보기

47. Piaget, J. (1987). Possibility and necessity: The role of possibility in cognitive development. Minneapolis, MN: The University of Minnesota Press. 

48. Prain, V., & Waldrip, B. (2006). An exploratory study of teachers' and students' use of multi-modal representations of concepts in primary science. International Journal of Science Education, 28(15), 1843-1866. 

    상세보기

49. Redlich, O. (1970). Intensive and extensive properties. Journal of Chemical Education, 47(2), 154-156 

50. Reys, R. E., Lindquist, M. M., Lambdin, D. V., & Smith, N. L. (2009). Helping children learn mathematics. Hoboken, NJ: John Wiley & Sons. 

51. Rizvi, N. F., & Lawson, M. J. (2007). Prospective teachers' knowledge: concept of division. International Education Journal, 8(2), 377-392. 

52. Sanders, M., Kwon, H., Park, K., & Lee, H. (2011). Integrative STEM education: contemporary trends and issues. Secondary Education Research, 59(3), 729-762. 

    상세보기

53. Sheppard, K. (2006). High school students' understanding of titrations and related acid-base phenomena. Chemistry Education Research and Practice, 7(1), 32-45. 

    상세보기

54. Siegler, R. S., & Opfer, J. (2003). The developmental of numerical estimation: Evidence for multiple representations of numerical quantity. Psychological Science, 14(3), 237-243. 

    상세보기

55. Siegler, R. S., Thompson, C. A., & Opfer, J. E. (2009). The logarithmic to linear shift: One learning sequence, many tasks, many time scales. Mind, Brain, and Education, 3(3), 143-150. 

    상세보기

56. Siemon, D., Breed, M., & Virgona, J. (2006). From additive to multiplicative thinking-The big challenge of the middle years. www.education.vic.gov.au/studentlearning/teachingresources/maths/ 

57. Siemon, D., & Virgona, J. (2001). Road maps to numeracy-Reflections on the middle years numeracy research project. Paper presented at the annual conference of the Australian Association for Research in Education, Fremantle, WA. 

58. Sin, Y., & Han, S. (2011). A study of the elementary school teachers' perception in STEAM Education. Elementary Science Education, 30(4), 514-523. 

59. Singer, J. A., & Resnick, L. B. (1992). Representations of proportional relationships: Are children part-part or part-whole reasoners? Educational Studies in Mathematics, 23(3), 231-246. 

    상세보기

60. Singh, P. (2000). Understanding the concepts of proportion and ratio constructed by two grade six students. Educational Studies in Mathematics, 43(3), 271-292. 

    

61. Smith, E., & Confrey, J. (1994). Multiplicative structures and the development of logarithms: What was lost by the invention of function? In G. J. Harel, & J, Confrey (Eds.) The development of multiplicative reasoning in the learning of mathematics (pp333-364). Albany, NY: State University of New York Press. 

62. Smith, C., Maclin, D., Grosslight, L., & Davis, H. (1997). Teaching for understanding: a study of students' pre-instruction theories of matter and a comparison of the effectiveness of two approaches to teaching about matter and density. Cognition and Instruction, 15(3). 317-393. 

    상세보기

63. Stevens, S., Sutherland, L., Schank, P., & Krajcik, J. (2009). The big ideas of nanoscale science & engineering: A guidebook for secondary teachers. NSTA Press. 

64. Streefland, L. (1984). Search for the roots of ratio: Some thoughts on the long term learning process (Towards... a theory). Educational Studies in Mathematics, 15(4), 327-348. 

    상세보기

65. Swarat, S., Light, G., Park, E-J., & Drane, D. (2011). A typology of undergraduate students' conceptions of size and scale: Identifying and characterizing conceptual variation. Journal of Research in Science Teaching, 48(5), 512-533. 

    상세보기

66. Taber, K. S. (2006). Conceptual integration: a demarcation criterion for science education?. Physics Education, 41(4), 286-287. 

    상세보기

67. Thompson, P. W. (1994). The development of the concept of speed and its relationship to concepts of rate. The development of multiplicative reasoning in the learning of mathematics (pp179-234). Albany, NY: State University of New York Press. 

68. Trend, R. (2000). Conceptions of geological time among primary teacher trainees, with reference to their engagement with geosciences, history, and science. International Journal of Science Education, 22(5), 539-555. 

    상세보기

69. Tourniaire, F., & Pulos, S. (1985). Proportional reasoning: A review of the literature. Educational Studies in Mathematics, 16,181-204. 

    상세보기

70. Tretter, T. R., Jones, M. G., Andre, T., Negishi, A., & Minogue, J. (2006). Conceptual boundaries and distances: Students' and experts' concepts of the scale of scientific phenomena. Journal of Research in Science Teaching, 43(3), 282-319. 

    상세보기

71. Tretter, T. R., Jones, M. G., & Minogue, J. (2006). Accuracy of scale conceptions in science: Mental maneuverings across many orders of spatial magnitude. Journal of Research in Science Teaching, 43(10), 1061-1085. 

    상세보기

72. Vergnaud, G. (1983). Multiplicative structures. In R. Lesh, & M. Landau (Eds.), Acquisition of mathematics concepts and processes (pp. 127-174). New York: Academic Press. 

73. Wagner, E. P. (2001). A study comparing the efficacy of a mole ratio flow chart to dimensional analysis for teaching reaction stoichiometry. School Science and Mathematics, 101(1), 10-22. 

    상세보기

74. Weber, K. (2002). Developing students' understanding of exponents and logarithms. ERIC Documents, 471-763. 

75. Zen, E.-A. (2001). What is deep time and why should anyone care? Journal of Geoscience Education, 49(1), 5-9. 

    상세보기

저자의 다른 논문 :

박은정 (4)