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Intuition and its Effects on Mathematical Learning


Affiliations
1 Department of Mathematics, Shahr-e Rey Branch, Islamic Azad University, Tehran, Iran, Islamic Republic of
2 Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran, Islamic Republic of
 

Intuition is the best instructional method in mathematics education. Using different method such as intuition, it makes promote learning in particular mathematics. Researchers have tried that studied and applied intuition method in mathematical learning and teaching field in present research. Then it is indicated snapshots of intuitive method for calculus. Sixty eight students are selected of first grade girl students at high school. Means of scores are studied via One-Sample Kolmogorov-Smirnov test, test of homogeneity of variances, ANOVA and Scheffe. The findings have shown that mathematical problems solving through intuition will have positive effects on the performance of students. Therefore it can conclude that intuitive method can ease problem solving process for students and this method motivates to learn and solve the difficult problems.

Keywords

Intuition, Mathematics, Learning, Problem Solving, Teaching
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  • Bruner JS (1974) Towards a disciplined intuition. Relevance of education. Penguin. pp: 98–113.
  • Bogen JE (1969) The other side of the brain: 2. an appositional mind. Bulletin of the Los-Angeles Neurol. Soc. 34, 135-162.
  • Dafei H (2010) Multiple representations in mathematics education. Maths Edu., Magaz, Edu.,Res.&Prog.Org.Edu,.Edu.,Publ. pp:74-79
  • Fischbein E (1987) Intuition in science and mathematics: an educational approach. Dordrecht: Reidel.
  • Fujita T, Jones K and Yamamoto Sh (2004) Geometrical intuition and the learning and teaching of geometry. Presented to Topic Study Group 10 (TSG10) 10th Intl. Congress on Mathematical Edu. (ICME- 10). Copenhagen, Denmark. pp: 4-11.
  • Giant D (2001) Misleading intuition in algorithmic problem solving. CS Group, science education department Tel-Aviv University, Israel. SIGCSE: 2/01 Charlotte, NC USA.
  • Gazzaniga MS (1974) Cerebral dominance viewed as a decision system. In: Hemisphere Function in the Human Brain, Dimond S. & Beaumont J (ed.), Elek, London. pp: 367-382.
  • Hadamard J (1945) The Psychology of Invention in the Mathematical Field. Reprinted Dover.
  • Jones K (1993) Researching geometrical intuition. Proc. British Soc. Res. Learning Maths. 13(3), 15-19.
  • Noddings N (1985) Research in small groups. Silver, EA (Ed.), teaching and learning mathematical problem solving. Hillsdale, NJ: Lawrence Erlbaum Associates.
  • Poincaré H (1913) Mathematical creation. Foundations of Sci. NY: The Science Press.
  • Rösken B, and Rolka K (2007) Integrating intuition: the role of concept image and concept definition for students' learning of integral calculus. Montana Council of Teachers of Maths. Montana Maths. Enthusiast, Monograph. 3, 181-204.
  • Skemp RR (1971) The psychology of learning mathematics. Penguin.
  • Skemp RR (1979) Goals of learning and qualities of understanding. Proc. 3rd Intl. Conf. for the Psych. of Maths. Edu. PP 197–202.
  • Tall D (1991) Intuition and rigor: the role of visualization in the calculus. In: Visualization in Mathematics. Zimmermann & Cunningham (ed.), M.A.A. 19, 105–119.
  • Tall D (1980) Mathematical intuition, with special reference to limiting processes. Proc. 4th Int. Conf. Psychol. Maths. Education, Berkeley. pp: 170–176.
  • Watson J (2000) Pre-service mathematics teachers' understanding of sampling: intuition or mathematics. Univ. Tasmania. Maths. Teach. Edu. & Develop. 2, 121-135.
  • Zaree Q (2010) Role of intuition in mathematics education. Master Dissertation, Fars Univ., Iran. pp: 5-43.

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  • Intuition and its Effects on Mathematical Learning

Abstract Views: 449  |  PDF Views: 132

Authors

Ashraf Babaei
Department of Mathematics, Shahr-e Rey Branch, Islamic Azad University, Tehran, Iran, Islamic Republic of
Mehrnaz Chaiichi-Mellatshahi
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran, Islamic Republic of
Maryam Najafi
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran, Islamic Republic of

Abstract


Intuition is the best instructional method in mathematics education. Using different method such as intuition, it makes promote learning in particular mathematics. Researchers have tried that studied and applied intuition method in mathematical learning and teaching field in present research. Then it is indicated snapshots of intuitive method for calculus. Sixty eight students are selected of first grade girl students at high school. Means of scores are studied via One-Sample Kolmogorov-Smirnov test, test of homogeneity of variances, ANOVA and Scheffe. The findings have shown that mathematical problems solving through intuition will have positive effects on the performance of students. Therefore it can conclude that intuitive method can ease problem solving process for students and this method motivates to learn and solve the difficult problems.

Keywords


Intuition, Mathematics, Learning, Problem Solving, Teaching

References





DOI: https://doi.org/10.17485/ijst%2F2012%2Fv5i7%2F30514