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http://dx.doi.org/10.7468/jksmee.2017.31.3.257

Development and application of program for mathematically gifted students based on mathematical modeling : focused on Voronoi diagram and Delaunay triangulation  

Yu, Hong-Gyu (Graduate School, Korea National University of Education)
Yun, Jong-Gug (Department of Mathematics Education, Korea National University of Education)
Publication Information
Communications of Mathematical Education / v.31, no.3, 2017 , pp. 257-277 More about this Journal
Abstract
The purpose of this research is divide into two kinds. First, develop the mathematical modeling program for mathematically gifted students focused on Voronoi diagram and Delaunay triangulation, and then gifted teachers can use it in the class. Voronoi diagram and Delaunay triangulation are Spatial partition theory use in engineering and geography field and improve gifted student's mathematical connections, problem solving competency and reasoning ability. Second, after applying the developed program to the class, I analyze gifted student's core competency. Applying the mathematical modeling program, the following findings were given. First, Voronoi diagram and Delaunay triangulation are received attention recently and suitable subject for mathematics gifted education. Second,, in third enrichment course(Student's Centered Mathematical Modeling Activity), gifted students conduct the problem presentation, division of roles, select and collect the information, draw conclusions by discussion. In process of achievement, high level mathematical competency and intellectual capacity are needed so synthetic thinking ability, problem solving, creativity and self-directed learning ability are appeared to gifted students. Third, in third enrichment course(Student's Centered Mathematical Modeling Activity), problem solving, mathematical connections, information processing competency are appeared.
Keywords
Voronoi diagram and Delaunay triangulation; Mathematical modeling; Mathematics gifted education;
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Times Cited By KSCI : 1  (Citation Analysis)
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