SPATIAL VISUALIZATION TRAINING USING COMPUTER-AIDED CROSS SECTIONS OF SURFACES

Aytaç Kurtuluş

Abstract


The aim of this study was to improve pre-service teachers’ ability to infer cross-sections of geometric solids with Wolfram demonstrations and Mathematica in Analytic Geometry II course. The study was conducted with third year students studying Elementary Mathematics Education. In this study, the pre-test--post-test control group design was used. Both before and after the procedure, both groups were administered the Santa Barbara Solids Test (SBST) developed to measure their ability to mentally visualize the cross-section that results from the intersection of a cutting plane and a geometric solid. During the procedure, the participants in the control group were mainly asked to complete the graph drawings of geometric solids by just using plane cross-sections in paper-and-pencil format whereas those in the experimental group were supplemented with computer aided instruction in addition to these paper-and-pencil activities. In addition, the students in the experimental group were asked about their opinions on the procedure. The results showed a statistically significant increase in average achievement for both groups. On the other hand, this increase in the averages was significant for all the indices, and therefore for all problem types, of the experimental group SBST whereas it was significant only for the embedded orthogonal and embedded oblique items and for all problem types of the control group (p<0.05). 

 

Article visualizations:

Hit counter

DOI

Keywords


cross-sections of surfaces, spatial visualization, mathematics pre-service teacher, Wolfram demonstrations

Full Text:

PDF

References


Andrade-Arechiga, M., Lopez, G., & Lopez-Morteo, G. (2012). Assessing effectiveness of learning units under the teaching unit model in an undergraduate mathematics course. Computers & Education, 59(2), 594-606.

Cohen, C. A., & Hegarty, M. (2007). Sources of difficulty in imagining cross sections of 3D objects. Procedings of the Twenty-Ninth Annual Conference of the Cognitive Science Society., 179-184. Austin TX: Cognitive Science Society.

Cohen, C. A., & Hegarty, M. (2012). Inferring cross sections of 3D objects: A new spatial thinking test. Learning and Individual Differences, 22(6), 868–874.

Christou, C., Pittalis, M., Mousoulides, N. & Jones, K. (2007). Developing the 3DMath Dynamic Geometry Software: Theorical Perspectives on Design. International Journal For Technology in Mathematics Education, 13(4), 168-174.

Dost, Ş., Sağlam, Y., & Uğur, A. (2011). Use of computer algebra systems in mathematics teaching at university: a teaching experiment. Hacettepe University Journal of Education, 40, 140-151.

Ersoy, M., & Akbulut, Y. (2014). Cognitive and affective implications of persuasive technology use on mathematics instruction. Computers & Education, 75(2013), 253-262.

Karakaş, I. (2011). Experiences of students mathematics-teachers in computer-based mathematics learning environment. International Journal for Mathematics Teaching&Learning, 1-27.

Maclachlan, F., Bolte, W. J., & Chandler, S. (2009). Interactive Economic Models from the Wolfram Demonstrations Project. Journal Of Economic Education, 40(1), 108.

MEB. (2013). middle school mathematics curriculum (Grade5-8). http://ttkb.meb.gov.tr/www/guncellenen-ogretim-programlari/icerik/151 Accessed 12.5.14.

Miller, D., & Halpern, D. (2013). Can spatial training improve long-term outcomes for gifted STEM undergraduates?. Learning & Individual Differences, 26, 141-152.

Mzoughi, T., Herring, S., & Foley, J. T. (2007). WebTOP: a 3D interactive system for teaching and learning optics. Computers & Education, 49(1), 110-129.

Petrusevski, L., Dabic, M., & Devetakovic, M. (2009). Parametric curves and surfaces: Mathematica demonstrations as a tool in exploration of architectural form. International Review, 22, 67-72.

YÖK. (2006). Turkish Higher Education Council. http://www.yok.gov.tr/documents/10279/49665/ilkogretim_matematik/cca48fad-63d7-4b70-898c-dd2eb7afbaf5 Accessed 14.5.14.

Wu, C., & Chiang, M. (2013). Effectiveness of applying 2D static depictions and 3D animations to orthographic views learning in graphical course. Computers & Education, 63(2013), 28-42.




DOI: http://dx.doi.org/10.46827/ejes.v0i0.2531

Refbacks

  • There are currently no refbacks.


Copyright (c) 2019 Aytaç Kurtuluş

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

Copyright © 2015-2023. European Journal of Education Studies (ISSN 2501 - 1111) is a registered trademark of Open Access Publishing Group. All rights reserved.


This journal is a serial publication uniquely identified by an International Standard Serial Number (ISSN) serial number certificate issued by Romanian National Library (Biblioteca Nationala a Romaniei). All the research works are uniquely identified by a CrossRef DOI digital object identifier supplied by indexing and repository platforms. All authors who send their manuscripts to this journal and whose articles are published on this journal retain full copyright of their articles. All the research works published on this journal are meeting the Open Access Publishing requirements and can be freely accessed, shared, modified, distributed and used in educational, commercial and non-commercial purposes under a Creative Commons Attribution 4.0 International License (CC BY 4.0).