數位動畫對小六學童數常識發展之研究

The Study of Computer Animated Activities to Students' Number Sense Performance

10.6173/CJSE.2014.2201.02

黃仕奇(Shih-Chi Huang)；楊德清(Der-Ching Yang)

科技 ； 動畫 ； 數常識 ； Technology ； Animation ； Number Sense

科學教育學刊

22卷1期（2014 / 03 / 01）

33 - 55

繁體中文

本研究旨在探討國小六年級學童在數常識數位學習動畫下其數常識能力之改變情形。採混合研究法，選取南部某公立國小六年級學生共七班，分為動畫實驗組三班（90人）、繪本實驗組三班（90人）與對照組一班（30人），進行實驗。經過5節課不同學習模式後，研究發現：（1）動畫實驗組、繪本實驗組學生之後測表現均顯著優於對照組學生的表現；（2）在數常識各向度中，向度二動畫實驗組學生表現較佳；向度四繪本實驗組學生表現較好；（3）在答題比例上，動畫實驗組學生則同時在數常識提升與錯誤下降均獲得顯著差異；繪本實驗組在數常識的表現有提升，但錯誤比例未有改變；（4）在性別上，動畫實驗組男生在數常識後測的表現顯著優於繪本實驗組男生與對照組男生；動畫實驗組女生與繪本實驗組女生在數常識後測的表現皆顯著優於對照組女生的表現。但是動畫實驗組女生與繪本實驗組女生在數常識後測的表現則無顯著差異。

A quasi-experimental method was used to examine the effect of the use of e-learning animations to the development of sixth-graders' number sense in Taiwan. Seven classes with 210 sixth graders from southern public elementary school were selected to participate into this study. Animation experimental group has 90 students (three classes), sketchbook experimental group has 90 students (three classes), and control group has 30 students (one class). After five class periods learning, the results show that posttests of both the animation experimental group and the sketchbook experimental group were significantly better than the control group. As for the five components of number sense, the posttest of the animation experimental group was significantly better than the control group in component 2, and the posttest of the sketchbook experimental group is significantly better than the control group in component 4. As for the correct ratio, the sketchbook experimental group was significantly better than the control group on number sense. Moreover, the animation experimental group was significantly better than the control group on number sense as well as the reduction of being incorrect. As for the gender variable, the girls' achievements of number sense were significantly better than the boys in the sketchbook experimental group, and the boys and girls in the animation experimental group displayed identically.

1. 劉曼麗、侯淑芬(2006)。整數數感融入國小四年級數學科教學之研究。科學教育學刊，14(2)，121-147。
   連結：
2. National Governors Association Center for Best Practices and the Council of Chief State School Officers. (2010). Common core state standards for mathematics. Washington, DC: Author.
3. Adams, R. J.,Wilson, M.,Wang, W. C.(1997).The multidimensional random coefficients multinomial logit model.Applied Psychological Measurement,21(1),1-23.
4. Aliasgari, M.,Riahinia, N.,Mojdehavar, F.(2010).Computer-assisted instruction and student attitudes towards learning mathematics.Education, Business and Society: Contemporary Middle Eastern Issues,3(1),6-14.
5. Anghileri, J.(2000).Teaching number sense.London:Continuum International Publishing Group.
6. Australian Education Council(1990).A national statement of mathematics for Australian schools: A joint project of the States, Territories and the Commonwealth of Australia.Carlton, VIC:Curriculum Corporation.
7. Berch, D. B.(2005).Making sense of number sense: Implications for children with mathematical disability.Journal of Learning Disabilities,38(4),333-339.
8. Blume, G. W.(Ed.),Heid, M. K.(Ed.)(2008).Research on technology and the teaching and learning of mathematics.Greenwich, CT:Information Age.
9. Clark, R. C.,Mayer, R. E.(2008).Learning by viewing versus learning by doing: Evidencebased guidelines for principled learning environments.Performance Improvement,47(9),5-13.
10. Erbas, A. K.,Ledford, S.,Polly, D.,Orrill, C. H.(2004).Engaging students through technology.Mathematics Teaching in the Middle School,9(6),300-305.
11. Forster, P. A.(2006).Assessing technology-based approaches for teaching and learning mathematics.International Journal of Mathematical Education in Science and Technology,37(2),145-164.
12. Gegner, J. A.,Mackay, D. H. J.,Mayer, R. E.(2009).Computer-supported aids to making sense of scientific articles: Cognitive, motivational, and attitudinal effects.Education Technology Research and Development,57(1),79-97.
13. Geiger, V.,Forgasz, H.,Tan, H.,Calder, N.,Hill, J.(2012).Technology in mathematics education.Research in mathematics education in Australasia 2008-2011,New York:
14. Goh, T. T.(2011).Exploring gender differences in SMS-based mobile library search system adoption.Educational Technology & Society,14(4),192-206.
15. Griffin, S.(2004).Building number sense with number worlds: A mathematics program for young children.Early Childhood Research Quarterly,19(1),173-180.
16. Ifenthaler, D.(Ed.),Eseryel, D.(Ed.),Ge, X.(Ed.)(2012).Assessment in game-based learning: Foundations, innovations, and perspectives.New York:Springer.
17. Jonassen, D. H.,Peck, K. L.,Wilson, B. G.(1999).Learning with technology: A constructivist perspective.Upper Saddle River, NJ:Prentice Hall.
18. Jordan, N. C.,Glutting, J.,Ramineni, C.(2010).The importance of number sense to mathematics achievement in first and third grades.Learning and Individual Differences,20(2),82-88.
19. Jordan, N. C.,Glutting, J.,Ramineni, C.,Watkins, M. W.(2010).Validating a number sense screening tool for use in kindergarten and first grade: Prediction of mathematics proficiency in third grade.School Psychology Review,39(2),181-195.
20. Ke, F.(2008).Computer games application within alternative classroom goal structures: Cognitive, metacognitive, and affective evaluation.Educational Technology Research and Development,56(5-6),539-556.
21. Kinzie, M. B.,Joseph, D. R.(2008).Gender differences in game activity preferences of middle school children: Implications for educational game design.Educational Technology Research and Development,56(5-6),643-663.
22. Lago, R. M.,DiPerna, J. C.(2010).Number sense in kindergarten: A factor-analytic study of the construct.School Psychology Review,39(2),164-180.
23. Lan, Y. J.,Sung, Y. T.,Tan, N. C.,Lin, C. P.,Chang, K. E.(2010).Mobile-device-supported problem-based computational estimation instruction for elementary school students.Educational Technology & Society,13(3),55-69.
24. Lester, F. K., Jr. (Ed.)(2007).Second handbook of research on mathematics teaching and learning.Charlotte, NC:Information Age.
25. Lipeikienė, J.,Lipeika, A.(2006).Animation tools of CAS for dynamic exploration of mathematics.Informatics in Education,5(1),87-96.
26. Markovits, Z.,Sowder, J. T.(1994).Developing number sense: An intervention study in grade 7.Journal for Research in Mathematics Education,25(1),4-29.
27. Marshall, S. P.(1984).Sex differences in children's mathematics achievement: Solving computations and story problems.Journal of Educational Psychology,76(2),194-204.
28. Mayer, R.(2003).The promise of multimedia learning: Using the same instructional design methods across different media.Learning and Instruction,13(2),125-139.
29. McIntosh, A.,Reys, B. J.,Reys, R. E.,Bana, J.,Farrel, B.(1997).Number sense in school mathematics: Student performance in four countries.Perth, WA:Mathematics, Science, & Technology Education Centre, Edith Cowan University.
30. Menon, R.(2004).Elementary school children's number sense.International Journal for Mathematics Teaching and Learning
31. Moomaw, S.,Carr, V.,Boat, M.,Barnett, D.(2010).Preschoolers' number sense.Teaching Children Mathematics,16(6),332-340.
32. Moyer, P. S.,Niezgoda, D.,Stanley, J.(2005).Young children's use of virtual manipulatives and other forms of mathematical representations.Technology-supported mathematics learning environments,Reston, VA:
33. National Council of Teachers of Mathematics(2000).Principles and standards for school mathematics.Reston, VA:Author.
34. Newby, T. J.,Stepich, D. A.,Lehman, J. D.,Russell, J. D.(2000).Instructional technology for teaching and learning: Design instruction, integrating computers, and using media (2nd ed.).Englewood Cliffs, NJ:Prentice-Hall.
35. Pierce, R.,Ball, L.(2009).Perceptions that may affect teachers' intention to use technology in secondary mathematics classes.Educational Studies in Mathematics,71(3),299-317.
36. Reimer, K.,Moyer, P. S.(2005).Third-graders learn about fractions using virtual manipulatives: A classroom study.Journal of Computers in Mathematics and Science Teaching,42(1),5-25.
37. Reys, B, J.(1994).Promoting number sense in the middle grades.Mathematics Teaching in the Middle School,1(2),114-120.
38. Reys, R. E.,Yang, D. C.(1998).Relationship between computational performance and number sense among sixth-and eighth-grade students in Taiwan.Journal for Research in Mathematics Education,29(2),225-237.
39. Sohn, S.,Lee, D.(2007).Gender gap in the usage of mobile phone as digital multimedia device: The case of South Korea.the annual meeting of the International Communication Association,San Francisco, CA.:
40. Sood, S.,Jitendra, A. K.(2007).A comparative analysis of number sense instruction in reform-based and traditional mathematics textbooks.The Journal of Special Education,41(3),145-157.
41. Steen, K.,Brooks, D.,Lyon, T.(2006).The impact of virtual manipulatives on first grade geometry instruction and learning.Journal of Computers in Mathematics and Science Teaching,25(4),373-391.
42. Suh, J.,Moyer-Packenham, P.(2007).Developing students' representational fluency using virtual and physical algebra balances.Journal of Computers in Mathematics and Science Teaching,26(2),155-173.
43. Szabo, M.,Poohkay, B.(1996).An experimental study of animation, mathematics achievement, and attitude toward computer-assisted instruction.Journal of Research on Computing in Education,28(3),390-402.
44. Taylor, M.,Pountney, D.,Malabar, I.(2007).Animation as an aid for the teaching of mathematical concepts.Journal of Further and Higher Education,31(3),249-261.
45. Thomas, M. O. J.,Hong, Y. Y.,Bosley, J.,Delos Santos, A.(2008).Use of calculators in the mathematics classroom.The Electronic Journal of Mathematics and Technology,2(2)
46. Timmerman, M. A.(2004).Using the internet: Are prospective elementary teachers prepared to teach with technology?.Teaching Children Mathematics,10(8),410-415.
47. U.S. Department of Education(2000).E-learning: Putting a world-class education at the fingertips of all children.Washington, DC:Author.
48. Vulis, M.,Small, M.(2007).Why teaching business mathematics with technology might be very important in today's mathematics education.International Journal for Technology in Mathematics Education,13(4),212-213.
49. Yang, D. C.(2006).Developing number sense through real-life situations in school of Taiwan.Teaching Children Mathematics,13(2),104-110.
50. Yang, D. C.(2005).Number sense strategies used by sixth grade students in Taiwan.Educational Studies,31(3),317-334.
51. Yang, D. C.,Li, M. N.,Lin, C. I.(2008).A study of the performance of 5th graders in number sense and its relationship to achievement in mathematics.International Journal of Science and Mathematics Education,6(4),789-807.
52. Yang, D. C.,Tsai, Y. F.(2010).Promoting sixth graders' number sense and learning attitudes via technology-based environment.Educational Technology and Society,13(4),112-125.
53. Yang, D. C.,Wu, W. R.(2010).The study of number sense realistic activities integrated into third-grade math classes in Taiwan.The Journal of Educational Research,103(6),379-392.
54. 吳清山、林天佑(2004)。教育新辭書。臺北市:臺灣高等教育。
55. 吳新華、劉世雄、吳沂木(2004)。建構科技融入主題探究的創意教學模式之行動研究。二○○四年第二屆創新與創造力研討會，臺北市:
56. 徐新逸(2003)。數位學習課程發展模式初探。教育研究月刊，116，15-30。
57. 教育部(2008)。資訊新視野數位共悠遊─教育部中小學資訊教育白皮書2008-2011。臺北市:作者。
58. 楊德清、李茂能(2008)。,臺北市:行政院國家科學委員會。
59. 靳知勤、劉冠任(1998)。以STS理念推展科學教育─非制式教育環境中的可行策略。博物館學季刊，12(3)，91-100。

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