The effects of mathematical modeling on creative production ability and self-directed learning attitude

Abstract

What should we do to educate the mathematically gifted and how should we do it? In this research, to satisfy diverse mathematical and cognitive demands of the gifted who have excellent learning ability and task tenacity in mathematics, we sought to apply mathematical modeling. One of the objectives of the gifted education in Korea is cultivating creative production ability. Another objective is to develop the self-directed learning attitude of the gifted. To examine the objectives, Mathematical Modeling was applied to the gifted. We analyzed the behaviors of the mathematically gifted students attending the class, which applied Mathematical Modeling to assess the potential for cultivating creative production ability. And in the aspect of the self-directed learning attitudes, two groups were compared: the gifted students who participated in the Mathematical Modeling class and other gifted students who did not. From these results, Mathematical Modeling is proposed as an appropriate program to achieve educational objectives for the mathematically gifted students.

The Effects of Different Applications on Creativity Regarding Academic Achievement: A Meta-Analysis

“…In general, the effect coefficients had positive/ meaningful effects on academic achievement of the related applications. In this context, this result obtained from the studies included in meta-analysis was consistent with the master's theses (Akdal, 2011;Aydın, 2011;Bacak, 2008;Çalışkan, 2006;Kayahan, 2010;Şahintürk, 2012;Yıldız, 2012;Yılmaz, 2006), PhD theses (Aktamış, 2007;Parker, 2008;Tezci, 2002) and articles (Altıntaş, Özdemir & Kerpiç, 2013;Gündoğan, Arı &Gönen, 2013;Kim & Kim, 2010;Naeini & Masood, 2012) which were conducted nationally and internationally in different years. In addition, the meta-analytic studies performed internationally by Davis (2009) and Feist (1998) had also positive effect sizes.…”

The effect of mathematical modeling instruction on pre-service primary school teachers problem solving skills and attitudes towards mathematics

“…Kal (2013) stated that mathematical modeling activities improved the students' attitudes towards solving mathematical problems in his study with 6th grade students. There are other studies showing that students' attitudes towards mathematics change positively when working with mathematical modeling activities rather than traditional problems (Blum, 2011;Bonotto, 2007;Bracke & Geiger, 2011;Kim & Kim, 2010;Maaß, 2011;Yu & Chang, 2009). Morgan (2010) stated that the attitude takes its final shape between the ages of 12-30 and it will be very difficult to change the attitudes after these ages.…”

Modeling in Studying Computer Graphics in the Fundamentalization of Computer Science

“…In a study (Kim and Kim, 2010), mathematical modeling was successfully applied to satisfy the various mathematical and cognitive requirements of gifted people with excellent learning ability and persistence in mathematics. N. Barneal and Y. J. Dori (Barneal and Dori, 1999) developed and introduced a new computerized molecular modeling (CMM) learning environment for teaching and learning in Israeli universities, which is able to illustrate and explore phenomena in chemistry, equipped with the convenience and simplicity of creating molecules of any size and colors in several styles of presentation, bright animation of threedimensional representations.…”