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Trisno Ikhwanudin


In the classroom, we will find various types of students with their special learning needs. One group of learners who have different learning needs are gifted students. The paper will focus on the study of mathematically gifted students. This research aims to obtain a description of the mathematically gifted students’ mental acts when solving fractions problems. The respondents were two students of the 7th graders in junior high school, in the West Java Province, Indonesia. The research approach was qualitative. The data were collected through paper and pencil measure, observation, and interview. The data were analyzed by grounded theory with coding and constant comparison. The results show four types of mental acts, those are interpreting, explaining, problem-solving, and inferring. The results of this study can be made as one of didactic anticipation when teachers teach the concept of fractions to the mathematically gifted student. These findings are significant to be considered by the teacher when teaching the mathematically gifted student. Teachers should anticipate how students think when they teach gifted students. So that teachers and students can achieve optimal learning outcomes.

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Assmuss D. (2018). Characteristic of mathematical giftedness in early primary school age. In F.M. Singer (Eds.): ICME-Monographs, Mathematical creativity and mathematical giftedness: Enhancing creativities in mathematically promising student (pp. 145-168). Switzerland: Springer.
Clarke, C., Fisher, W., Marks, R., Ross, S., Zbiek, R.S. (2010). Developing Essential Understanding of Rational Numbers for Teaching Mathematics in Grades 3-5. Reston, VA: NCTM.
Cramer, K. (2003). Using a translation model for curriculum development and classroom instruction. In R. Lesh & H. Doerr (Eds.): Beyond constructivism: Models and modeling perspectives on mathematics problem solving, learning, and teaching (pp. 449–464). Mahwah, NJ: Lawrence Erlbaum Associates
Cramer, K., Wyberg T., & Leavitt, S. (2009). Fraction Operations & Initial Decimal Ideas: Curriculum Module.
Downloaded from:
Gagné, F. (2015). From genes to talent: The DMGT/CMTD perspective, Revista de Educacion, 368, 12–39. DOI: 10.4438/1988-592X-RE-2015-368-289.
Gall, M.D., Gall, J.P., Borg, W.R. (2010). Applying Educational Research. Boston: Allyn and Bacon Inc.
Harel, G. (2008a). What is Mathematics? A Pedagogical Answer to a Philosophical Question. In Gold, B. & Simons, R.A. (Eds.): Proof and Other Dilemmas: Mathematics and Philosophy (pp.265-290). Washington, DC: MAA.
Harel, G. (2008b). DNR perspective on mathematics curriculum and instruction, Part I: focus on proving. ZDM Mathematics Education, 40, 487–500
DOI: 10.1007/s11858-008-0104-1
Hong, E. and Aqui, Y. (2004) Cognitive and motivational characteristics of adolescents gifted in mathematics: Comparison among students with different types of giftedness. Gifted Child Quarterly, 48, 191–201.
Krutetskii, V. A. (1976). The psychology of mathematical abilities in schoolchildren (Translation from Russian: J Teller Trans J Kilpatrick & I. Wirszup Eds.). United States: The University of Chicago Press.
Kurnaz A. (2018). Examining Effects of Mathematical Problem-Solving, Mathematical Reasoning and Spatial Abilities on Gifted Students’ Mathematics Achievement. World Scientific Research, 5 (1), 37-43. DOI: 10.20448/journal.510.2018.51.37.43
Leikin, R. (2011). The education of mathematically gifted students: Some complexities and questions. The Mathematics Enthusiast, 8 (1), 167-188.
Mann, E. L. (2006). Creativity: The essence of mathematics. Journal for the Education of the Gifted, 30 (2), 236–262. DOI: 10.4219/jeg-2006-264.
NCTM. (1989). Curriculum and Evaluation Standards for School Mathematics. Reston, VA: NCTM
Piirto, J. (2007). Talented children and adults: Their development and education 2nd ed. United
States: Prufrock Press.
Presmeg, N. C. (1986). Visualization and mathematical giftedness. Educational Studies in Mathematics, 17 (3), 297–311.
Renzulli (1986). The three-ring conception of giftedness: A developmental model for creative productivity. In R. J. Sternberg & J. E. Davidson (Eds.): Conception of giftedness. United States: Cambridge University Press.
Sheffield, L. J. (1999). Developing mathematically promising students. United States: National Council of Teachers of Mathematics.
Singer, F. M., Sheffield, L.J., Freiman, V., and Brandl, M. (2016). Research On and Activities For Mathematically Gifted Students ICME-13 Topical Surveys. Switzerland: Springer
Sriraman, B. (2003). Mathematical giftedness, problem solving, and the ability to formulate generalization: the problem solving experience of four gifted students?. The Journal of Secondary Gifted Education, 14 (3), 151-165.
Yin, R. K. (2009). Case study research: design and methods (4th Ed.). Thousand Oaks, CA: Sage.