Developing Formulas for Quick Calculation of Polyhedron Volume in Spatial Geometry: Application to Vietnam
DOI:
https://doi.org/10.6000/1929-7092.2019.08.71Keywords:
Leadership, Knowledge Production, Polyhedron, Volume, Spatial Geometry, Quick calculation.Abstract
In the age of globalization, an effective leadership skill is the ability for quick calculation of work-related problems. From an economic perspective, fast computation often provides a competitive advantage in business, where speed, efficiency and accuracy are required. Quick calculation techniques are a central problem in modern mathematics because it shortens the time for solving technical problems. The purpose of the paper is to provide an explanation that will lead to a quick solution to a volume problem. Specifically, some convenient formulas are provided for quick calculation of the volume of the common polyhedron, together with a number of multiple-choice questions with IATA software to practice. Based on the evaluation results, reliable multiple-choice questions are used for an empirical study in Can Tho City, Vietnam on the effectiveness of the formulas for quick calculation of the polyhedron volume in spatial geometry. Statistical analysis shows that quick formulas help students to complete lessons at a higher rate, thereby contributing to improvements in the effectiveness of teaching geometry, especially the volume of the Polyhedron.
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Bakó, M. (2003), Different projecting methods in teaching spatial geometry. In Proceedings of the Third Conference of the European society for Research in Mathematics Education.
Bertoline, G.R. (1991), Using 3D geometric models to teach spatial geometry concepts. Engineering Design Graphics Journal, 55(1), 37-47.
Boslaugh, S. (2013), Statistics in a Nutshell: A Desktop Quick Reference (second edition). California (USA): O’Reilly Media.
Bribena, K. (2019), Globalization and knowledge production in the world: A critical analysis of the place of Africa. Journal of Reviews on Global Economics, 8, 12-20.
https://doi.org/10.6000/1929-7092.2019.08.02
Chazan, D. (2000), Beyond Formulas in Mathematics and Teaching: Dynamics of the High School Algebra Classroom. New York: Teachers College Press.
Grabinski, H., Konrad, B., Nordholz, P. (2002), Simple formulas to calculate the line parameters of interconnects on conducting substrates. IEEE 7th Topical Meeting on Electrical Performance of Electronic Packaging.
Jones, K. (2002), Issues in the Teaching and Learning of Geometry. In: Linda Haggarty (Ed), Aspects of Teaching Secondary Mathematics: perspectives on practice. London: RoutledgeFalmer. Chapter 8, pp. 121-139.
Kosa, T., and Karakus, F. (2010), Using dynamic geometry software Cabri 3D for teaching analytic geometry. Procedia-Social and Behavioral Sciences, 2(2), 1385-1389.
https://doi.org/10.1016/j.sbspro.2010.03.204
Kurtulus, A., and Uygan, C. (2010), The effects of Google Sketchup based geometry activities and projects on spatial visualization ability of student mathematics teachers. Procedia-Social and Behavioral Sciences, 9, 384-389.
https://doi.org/10.1016/j.sbspro.2010.12.169
Laborde, C., Kynigos, C., Hollebrands, K., and Strässer, R. (2006), Teaching and learning geometry with technology. In Handbook of research on the psychology of mathematics education (pp. 275-304). Brill Sense.
https://doi.org/10.1163/9789087901127_011
Lesage, E., Valcke, M., and Sabbe, E. (2013), Scoring methods for multiple choice assessment in higher education–Is it still a matter of number right scoring or negative marking?. Studies in Educational Evaluation, 39(3), 188-193.
https://doi.org/10.1016/j.stueduc.2013.07.001
Lindberg, S. M., Hyde, J. S., Petersen, J. L., and Linn, M. C. (2010), New trends in gender and mathematics performance: a meta-analysis. Psychological bulletin, 136(6), 1123.
https://doi.org/10.1037/a0021276
Lindner, M. A., Eitel, A., Thoma, G. B., Dalehefte, I. M., Ihme, J. M., and Köller, O. (2014), Tracking the decision?making process in multiple?choice assessment: Evidence from eye movements. Applied Cognitive Psychology, 28(5), 738-752.
https://doi.org/10.1002/acp.3060
Little, J. L., Bjork, E. L., Bjork, R. A., and Angello, G. (2012), Multiple-choice tests exonerated, at least of some charges: Fostering test-induced learning and avoiding test-induced forgetting. Psychological science, 23(11), 1337-1344.
https://doi.org/10.1177/0956797612443370
Moss, J., Hawes, Z., Naqvi, S., and Caswell, B. (2015), Adapting Japanese Lesson Study to enhance the teaching and learning of geometry and spatial reasoning in early years classrooms: a case study. Zdm, 47(3), 377-390.
https://doi.org/10.1007/s11858-015-0679-2
Sousa M. J., Santos V., Sacavem A., Reis I.P., and Sampaio M.C. (2019), 4.0 Leadership skills in hospitality sector. Journal of Reviews on Global Economics, 8, 105-117.
https://doi.org/10.6000/1929-7092.2019.08.11
Torres, C., Lopes, A.P., Babo, L., and Azevedo, J. (2011), Improving Multiple-Choice Questions. Online Submission.
Wheatley, G.H. (2007), Quick Draw: Developing Spatial Sense in Mathematics. Florida State University
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Published
2019-10-09
How to Cite
Tuan, B. A., McAleer, M., Dang, N. T. T., & Pho, K.-H. (2019). Developing Formulas for Quick Calculation of Polyhedron Volume in Spatial Geometry: Application to Vietnam. Journal of Reviews on Global Economics, 8, 815–837. https://doi.org/10.6000/1929-7092.2019.08.71
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