题名

An Exploration of Origami Integrated Teaching with Virtual and Physical Manipulatives

DOI

10.29465/IJDMD.201706_9(1).0001

作者

Hsi-Hsun Yang;Yuan-Ting Chen;Sheng-Kai Yin

关键词

Origami ; Computer Assisted Learning System ; Spatial Ability ; Virtual Manipulatives ; Physical Manipulatives ; Symmetry

期刊名称

國際數位媒體設計學刊

卷期/出版年月

9卷1期(2017 / 06 / 01)

页次

1 - 13

内容语文

英文

中文摘要

Physical origami helps students understand the properties of graphic symmetry, rotation, and folding, improving mathematical learning, geometric reasoning, and conjecturing through mental rotation, spatial orientation and visualization. Using the digital origami simulation system, technology is integrated into learning origami, facilitating physical origami challenges related to precision, paper thickness, and crease elimination. This study constructs the Web of Origami Simulator II (WOOS II) in order to train learner spatial ability, and designs a set of integrated teaching materials with physical origami manipulatives. The technique of origami of one straight cut is used as the basis for teaching material, emphasizing the steps of folding paper, making one straight cut, and observing the shapes when unfolded. This experiment adopts the one-group pretest-posttest design, with teaching materials integrated into virtual and digital manipulatives applied to 41 fifth-grade students in an elementary school in central Taiwan. Resulting experimental data are collected, analyzed, and discussed. Results show better performance in WOOS II and physical origami relates to better manifestation of learner spatial ability. Analysis of the learning sheet shows the line-symmetric and spatial abilities influenced the students’ performances in origami of one straight cut. The digital origami simulation environment can help students grasp the concept and operation of origami of one straight cut, while deepening learning through the parallel application of physical origami. Learning of spatial, geometric, and line-symmetric concepts is also improved.

主题分类 人文學 > 藝術
社會科學 > 傳播學
参考文献
  1. Wang, Y. Y.、Tzeng, C. S.(2015)。Geometric Form Arrangement in Paper Cutting。Journal of Design,20(2),43-62。
    連結:
  2. Chan, D. C. W. (2007). Origami of Brain Builder. Retrieved from http://paper.people.com.cn/smsb/html/2007-04/03/content_12675356.htm. (in Chinese)
  3. Kelley, T. K. (1928). Crossrodas in the mind of man. Stanford. CA: Stanford University Press.
  4. Thurstone, L. L. (1938). Primary mental abilities. Chicago: University of Chicago Press.
  5. Takumi F. (2015). Retrieved from https://github.com/takumif/origami/
  6. David, H. (2008). Tabula. Retrieved from http://numeracyworks.com/apps/tabula/app/index.html
  7. Make-a-Flake. (2016) Retrieved from http://snowflakes.barkleyus.com/
  8. Shen K. C. (1721). Retrieved from http://erikdemaine.org/foldcut/sen_book.html
  9. Fumiaki S. (2002). Origami club. Retrieved from http://en.origami-club.com/
  10. Ambrose, R. C.,Falkner, k.(2002).Developing spatial understanding through building polyhedrons.Teaching Children Mathematics,8(8),442-447.
  11. Arici, S.,Tutak, F. A.(2015).The Effect of Origami-based Instruction on Spatial Visualization, Geometry Achievement, and Geometric Reasoning.International Journal of Science and Mathematics Education,13(1),179-200.
  12. Ball, S.(1988).Computers, concrete materials and teaching fractions.School Science and Mathematics,88(6),470-475.
  13. Boakes, N. J.(2009).Origami instruction in the middle school mathematics classroom: Its impact on spatial visualization and geometry knowledge of students.Research in Middle Level Education,32(7),1-12.
  14. Cakmak, S.(2009).Ankara, Turkey,Middle East Technical University.
  15. Cakmak, S.,Isiksal, M.,Koc, Y.(2014).Investigating effect of origami-based instruction on elementary students' spatial skills and perceptions.The Journal of Educational Research,107(1),59-68.
  16. Char, C. A.(1989).Computer graphics feltboard: New soft-ware approaches for young children' s mathematical exploration.San Francisco:American Education Research Association.
  17. Chen, H. Y.(2012)。Taipei, Taiwan,Master Program of Creativity, National Taiwan Normal University。
  18. Chen, K.(2005).Math inMotion: Origami Math for Students Who are Deaf and Hard of Hearing.Journal of Deaf Studies and Deaf Education,11(2),262-266.
  19. Chou, W. C.、Lin, T. H.(2010)。The Reflection of the Physical and Virtual Manipulative on the Teaching Application。Journal of Computer Science and Application,6(2),33-46。
  20. Cipoletti, B.,Wilson, N.(2004).Turning origami into the language of mathematics.Mathematics Teaching in the Middle School,10(1),26-31.
  21. Demaine, E. D.,Demaine, M. L.,Lubiw, A.(1998).Folding and cutting paper.Japanese Conference on Discrete and Computational Geometry
  22. Drickey, N. A.(2000).UT,Utah State University.
  23. Durmus, S.,Karakirik, E.(2006).Virtual manipulatives in mathematics education: A theoretical framework.The Turkish Journal of Educational Technology,5(1),117-123.
  24. Homan, D. R.(1970).The child with a learning disability in arithmetic.The Arithmetic Teacher,17(3),199-203.
  25. Hull, T.(2002).Origami 3rd International Meeting of Origami Science, Mathematics, and Education.Natick, MA:AK Peters.
  26. Izydorczak, A. E.(2003).Graduate School of the State University of New York at Buffalo.
  27. Kali, Y.,Orion, N.(1996).Spatial abilities of high-school students in the perception of geologic structures.Journal of Research in Science Teaching,33,369-391.
  28. Kim, S.(1993).OR,University of Oregon.
  29. Leathrum, T.(2001).Writing Mathlets I: A Call to Math Professionals.Journal of Online Mathematics and its Applications,1(2)
  30. Li, J. S.(2014)。Brief Talk About Performance Assessment: Learning mathematics from Origami。Science Education Monthly,367,42-54。
  31. Libeskind, S.(2008).Euclidean and Transformational Geometry: A Deductive Inquiry.Jones & Bartlett Learning.
  32. Linn, M.C.,Petersen, A. C.(1985).Emergence and characterization of sex in spatial ability: A meta-analysis.Child Development,56,1479-1498.
  33. Liu, H. C.、Liu, H. H.(1994)。A Study of conceptual Aspects of Reflection Symmetry, Part D。Mathematics, Science and Technology Education,4(1),10-24。
  34. Liu, H. C.、Sheu, T. W.、Yih, J. M.、Juan, S. Y.、Liu, H. H.(1994)。A Study on the Development of Point-symmetry-concept of Middle Grader of Elementary School。Journal of National Taichung Teachers College,8,409-436。
  35. Lohman, D. F.(1988).Spatial abilities as traits, processes, and knowledge.Advances in the psychology of human intelligence,4,181-248.
  36. Lu, S. Y.、Lin, T. W.(2013)。Learning Effects through the Multimedia Animation in Teaching Origami。Journal of National Taichung University: Humanities & Arts,27(1),111-130。
  37. McGee, M. G.(1979).Human spatial ability: Psychometric studies and environmental, genetic, hormonal, and neurological influences.Psychological Bulletin,86(5),889-918.
  38. Ministry of Education(2008)。Grades 1-9 Math Curriculum Guidelines。Taipei:Ministry of Education。
  39. Miyazaki, S.,Yasua, T.,Yokoi, S.,Toriwaki, J.(1996).An Origami CPlaying Simulator in the Virtual Space.The Journal of Visualization and Computer Animation,7(1),25-42.
  40. Moyer P. S.,Salkind, G.,Bolyard, J. J.(2008).Virtual manipulatives used by K-8 teachers for mathematics instruction: Considering mathematical, cognitive, and pedagogical fidelity.Contemporary Issues in Technology and Teacher Education,8(3),202-218.
  41. Moyer, M.(1978).Evanston, IL.,Northwestern University.
  42. Moyer, P. S.(2001).Are we having fun yet? How teachers use manipulatives to teach mathematics.Educational Studies in Mathematics,47(2),175-197.
  43. Moyer, P. S.,Bolyard, J. J.,Spikell, M. A.(2002).What are virtual manipulatives?.Teaching Children Mathematics,8,372-377.
  44. 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,671,17-34.
  45. Moyer, P. S.,Westenskow, A.(2013).Effects of virtual manipulatives on student achievement and mathematics learning.International Journal of Virtual and Personal Learning Environments,4(3),35-50.
  46. National Council of Teachers of Mathematics(2000).Principles and Standards for school Mathematics.Reston, Va.:NCTM.
  47. Nilges, L.,Usnick, V.(2000).The role of spatial ability in physical education and mathematics.Journal of Physical Education, Recreation & Dance,71(6),29-33.
  48. Pope, S.(2002).The Use of Origami in The Teaching of Geometry.Proceedings of the British Society for Research into Learning Mathematics,22(3)
  49. Reimer, K.,Moyer, P. S.(2005).Third-graders learn about fractions using virtual manipulatives: A classroom study.The Journal of Computers in Mathematics and Science Teaching,24(1),5.
  50. Steen, K.,Brooks, D.,Lyon, T.(2006).The impact of virtual manipulatives on first grade geometry instruction and learning.The Journal of Computers in Mathematics and Science Teaching,25,373-391.
  51. Suh, J.,Moyer, P. S.,Heo, H. J.(2005).Examining technology uses in the classroom: Developing fraction sense using virtual manipulative concept tutorials.Journal of Interactive Online Learning,3(4),1-21.
  52. Tam, H. P.,Chen, Y. L.(2009).Using paper folding to promote students' ability in straightedge-and-compass problem solving.Science Education Monthly,323,15-24.
  53. Taylor, F. M.(2001).FL.,University of Florida.
  54. Terry, M. K.(1995).MO.,University of Missouri-Saint Louis.
  55. Tso, T. Y.(2003).NSC Research Project ReportNSC Research Project Report,Taiwan:NSC.
  56. Tso, T. Y.、Liang, Y. N.(2001)。The Study of Interrelationship between Spatial Abilities and Van Hiele Levels of Thinking Geometry of Eighth-Grade Students。Journal of Research in Education Sciences,46(1,2),1-20。
  57. Yang, H. H.,Chen, Y. T.,Yin, S. K.(2016).Design and Developing Technology Integrated into Learning Origami: Using the Origami of One Straight Cut as an Example.The Asian Conference on Arts & Humanities
  58. Yang, H. H.,Yin, S. K.(2015).Applying Graphic Reasoning Simulation Tool to Explore the Scientific Creativity.The 23rd International Conference on Computers in Education
  59. Yang, H. H.,Yin, S. K.,Chen, P. Y.(2014).Design and Implementation for the Web of Origami Simulator.Applied Mechanics and Materials,536-537,593-598.