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http://dx.doi.org/10.7468/jksmee.2021.35.1.119

Improvement of the Mathematical Creativity Using Engineering Tools in Mathematics Mentorship Program  

Boo, Deok Hoon (충남대학교)
Publication Information
Communications of Mathematical Education / v.35, no.1, 2021 , pp. 119-136 More about this Journal
Abstract
We performed the research and education programs using engineering tools such as Mathematica, Microsoft Excel and GeoGebra for the students in mathematics mentorship program of the institute of science education for the gifted. We used the engineering tools to solve the problems and found the rules by observing the solutions. Then we generalized the rules to theorems by proving the rules. Mathematica, the professional mathematical computation program, was used to calculate and find the length of the repeating portion of the repeating decimal. Microsoft Excel, the spreadsheet software, was used to investigate the Beatty sequences. Also GeoGebra, the dynamic geometric software, was used to investigate the Voronoi diagram and develop the Voronoi game. Using GeoGebra, we designed the Voronoi game plate for the game. In this program, using engineering tools improved the mathematical creativity and the logical thinking of the gifted students in mathematics mentorship program.
Keywords
engineering tools; mathematics mentorship program; mathematica; microsoft excel; geogebra;
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1 Kang, M. (2009) How to use the computer in order to develop the mathematical thinking, Studies on Constitutional Cases, 22(1), 37-53.
2 Ko R. Y. (2011) Mathematical Modeling with Excel-modeling of Fibonacci sequence and influenza virus subtype H1N1 (Master's thesis) Sungkyunkwan University, Seoul, Korea.
3 Ko M. S. (2005) A study on the development of teaching-learning materials for high school 10 steps mathematics by using Microsft Excel (Master's thesis) Chonnam National University, Chonnam, Korea.
4 Ministry of Education (2018). 4th Master plan for promotion of gifted amd talented education in Korea, Ministry of Education, Seoul, Korea.
5 Kwon, Y. S., & Ryu, S. R. (2013). The effects of Inductive activities using GeoGebra on the proof abilities and attitudes of mathematically gifted elementary students, J. the Korea Soc. Math. Ed. Ser. C, 16(2), 123-145.
6 Kim, M., Lee, J., & Kim, W. (2014). Development of teaching and learning materials by using GeoGebra and it's application effects for high school mathematically gifted students, J. the Korean School Mathematics Society, 17(3), 359-384.
7 Song, M.., & Boo, D. H. (2018) A study on Beatty sequences, J. Science Education for the Gifted, 10(2), 110-120.
8 Woo Y. H. (2008) Effect of mathematical experimental class on function using Mathematica in the vocational high school (Master's thesis) Ewha Womans Univercity, Seoul, Korea.
9 Eom T. H. (2006) A study of constructed development in Mathematica based mathematics teaching and learning (Master's thesis) Sila University, Busan, Korea.
10 Oh, K., Choi. D., Yu, G., & Boo, D. H. (2017) On the repeating portion of the repeating decimals, J. Science Education for the Gifted, 9(3), 319-331.
11 Yoo J. G., Yi J. A, Park M. H, & Chang, H. (2020) Altenative method of irrational numbers using approximate fractions and slopes of straight lines in a spreadsheet environment, J. Educational Research in Mathematics, 30(2), 353-374.   DOI
12 Lee, K., Ann, M., Ko, E., Choi, S., & Moon, S. (2019) A comparative study on characteristics of mathematically gifted and non-gifted students exploration on probability using probability experiments, School Mathematics, 21(2), 369-389.   DOI
13 Lee, S., Lee, J., & Kim, W., (2012) The effects of using GeoGebra on the mathematical thinking in the optimization problems of regional inequalities-focus on level curve, Korean Journal of Teacher Education, 28(4), 1-44.
14 Jo, K., Lee, K., & Boo, D. H. (2019) Voronoi Partitions on Polygons, J. Science Education for the Gifted, 11(3), 255-274.
15 Whang, W., & Cha, S. (2002) Study on the effectiveness of dynamic geometry software in solving high school analytic geometry problems, The Mathematical Education, 41(3), 341-360.
16 Renzulli, J. S.(1978). What makes giftedness-reexamining a definition. Phi-Delta-Kappn, 60, 180-184.
17 NCTM (1989). Curriculum amd Evaluation Standards for School Mathematics. Reston. VA.