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An Investigation of the Visual-Mental Capability of Pre- and In-Service Mathematics Teachers: A Tale of Two Cones and One Cube

  • Barkai, Ruthi (Kibbutzim College of Education Technology and the Arts) ;
  • Patkin, Dorit (Kibbutzim College of Education Technology and the Arts)
  • Received : 2013.12.03
  • Accepted : 2014.03.21
  • Published : 2014.03.31

Abstract

This study investigated the visual-mental capability of pre-service and in-service mathematics teachers as well as academicians making a career change to mathematics teachers with regard to manipulations of two geometric shapes (from 2- to 3-dimensional). Moreover, it investigated whether there are differences between the visual-mental capability of these participant groups. Findings illustrate that most of the participants demonstrate an adequate visual capability relating to the task dealing with a cube. Conversely, very low percentage of participants manifested a visual-mental capability in a task requiring the identification of a solid resulting from rotation of a square page, whose diagonal serves as the rotation axis. The study indicates that learners' high visual view should be developed in order to enhance their visual-mental capability.

Keywords

References

  1. Bishop, A. J. (1989). Review of research on visualization in Mathematics Education, Focus Learn. Probl.Math.11(1), 7-16. ME1992l.00230
  2. Cohen, N. (2007). Analytical-Visual Integration in 3-D Tasks. Thesis submitted for the degree of "Doctor of Philosophy", Beer-Sheba, Israel; Ben-Gurion University of the Negev.
  3. Del Grande, J. (1990). Spatial Sense.Arith.Teacher.37(6), 14-20. ME1990i.37157
  4. Gardner, H. (2007). Five Minds for the Futuere. Cambridge, MA: Harvard Business School Press.
  5. Halpern, F. D. (2005). Sex, Brains & Hands - Gender Differences in Cognitive Abilities. Skeptic, 2(3), 96-103.
  6. Hannibal, M. A. (1999). Young Children's Developing Understanding of Geometric Shapes. Teach. Child.Math.5(6), 353-357. ME2000b.01200
  7. Horgan, J. (1993). The death of proofs.Scientific American, 92-103. Retrieved From:April 2012http://www.math.uh.edu/-tomforde/Articles/DeathOfProof.pdf.
  8. National Council of Teachers of Mathematics (NCTM).Principles and standards for school mathematics. Reston, VA:NCTM. ME1999f.03937 for discussion draft (1998)
  9. Patkin, D. & Dayan, E. (2013).The intelligence of observation improving high school students' spatial ability by means of intervention unit.Int. J. Math. Educ. Sci. Technol. 44(2), 179-195. ME2013c.00191 http://dx.doi.org/10.1080/0020739X.2012.703335
  10. Patkin, D. & Sarfaty, Y. (2012).The effect of solid geometry activities of pre-service elementary school mathematics teachers on concepts understanding and mastery of geometric thinking levels. J. Korean Soc. Math. Educ., Ser. D, Res. Math. Educ.16 (1), 31-50.
  11. Presmeg, N. (1986). Visualization in high school mathematics. Learn. Math. 6(3), 42-46. ME1987f.03327
  12. Seago, N.; Driscoll, M. & Jacobs, J. (2010). Transforming Middle School Geometry: Designing Professional Development Materials that Support the Teaching and Learning of Similarity.Middle Grades Research Journal5(4), 199-211
  13. Shaw, J. M. (1990). By Way of Introduction. Arith.Teacher.37(6), 4-5.
  14. Sorby, S. A.;Wysocki, A. F. &Baartmans, B. G. (2002). Introduction to 3D Spatial Visualisation.New York: Cengage Learning.
  15. Walker, C. M.; Winner, E.;Hetland, L.; Simmons, S. & Goldsmith, L. (2011).Visual Thinking: Art Students Have an Advantage in Geometric Reasoning. Creative Education2(1), 22-26. https://doi.org/10.4236/ce.2011.21004
  16. Yackel, E. & Wheatley, G. H. (1990). Promoting Visual Imagery in Young Pupils. Arith.Teacher.37 (6), 52-58. ME1990i.371164

Cited by

  1. Procedural and relational understanding of pre-service mathematics teachers regarding spatial perception of angles in pyramids pp.1464-5211, 2018, https://doi.org/10.1080/0020739X.2018.1480808