Development of Components and Indicators of Mathematical Thinking for High School Students

Main Article Content

Phairat Jaroentreephet
Rungtiwa Yamrung
Kittichai Suthasinobon

Abstract

The objectives of this research article were 1) to develop competency components and indicators of Mathematical Thinking for high school students and 2) to assess the appropriateness of competency components and indicators of Mathematical Thinking for high school students. The subject of the research was 5 experts, expertising in mathematical thinking or mathematical learning management, were selected by purposive sampling according to their qualifications. Research tools were 1) semi-structured interview and 2) estimated scale suitability assessment form. The data were analyzed by 1) content analysis and 2) arithmetic mean and standard deviation. The results of the research revealed that 1) components and indicators of Mathematical Thinking for high school students consisted of 7 main components, 14 minor components, and 14 indicators and 2) the components and indicators of Mathematical Thinking for high school students were appropriate at a high level to the most. (equation = 3.83, S.D. = 0.45)

Article Details

Section
บทความวิจัย (Research Articles)

References

Anan, P. (2019). The development of mathematical thinking of Mathayomsuksa 3 students through instructional processes to promote mathematical thinking. Journal of Faculty of Education, Mahasarakham University, 25(1), 161-172. [In Thai]

Boonpattanaporn, S. (2016). Curriculum development to promote mathematical thinking for Mathayomsuksa 4 students. Doctoral dissertation, Srinakharinwirot University. [In Thai]

Cai, J. (2003). Singaporean students' mathematical thinking in problem solving and problem Posing: an exploratory study. International journal of Mathematical Education in Science and Technology, 34(5), 719-737.

Heleni, S., & Zulkarnain, Z. (2018). The Influence of Mathematical Thinking Ability with Modified Moore Method on Learning Qutcomes of Basic Mathematic II Chemical Education Students. Journal of Educational Sciences, 2(2), 33-41.

Jackson, A. L., & Macmillan. (1994). Mathematics in Action Macmillan. NY: McGraw-Hill School Publishing.

Joyce, B. R., Weil, M., & Calhoun, E. (2009). Models of teaching. (7 th ed.). Boston: Pearson/Allyn and Bacon.

Makhanong, A. (2015). Mathematics for secondary school teachers. (9 th ed.). Bangkok: Chulalongkorn University. [In Thai]

Nabamrung, R. (2007). The natural path of mathematical thinking about multiplication and division in children aged 7-10 years. Doctoral dissertation, Srinakharinwirot University. [In Thai]

National Institute of Educational Testing Service (Public Organization). (2019). The report of national basic educational test (O-NET). [Online]. Available: https://www.niets.or.th/th/catalog/view/214 [2024, April 2]. [In Thai]

OECD. (2018). PISA 2018 results. [Online]. Available: https://www.oecd.org/pisa/publications/pisa-2018-results.htm [2021, April 2].

Office of the Basic Education Commission. (2017). Indicators and core content of mathematics learning area (Revised Edition B.E. 2560) based on the Basic Education Core Curriculum B.E. 2551. Bangkok: Cooperative League of Thailand. [In Thai]

Preecha, C. (2022). The development of a mathematical systems thinking test for upper secondary school students. Journal of Educational Measurement, 39(106), 63-74. [In Thai]

Sahat, S., & Elvis, N. (2015). Developing Student-Centered Learning Model to Improve High Order Mathematical Thinking Ability. [Online]. Available: https://pdfs.semanticscholar.org/3aa3/5fe7677b7e1f0eb2acdaed74f2e2d156e 380.pdf?_ga=2.33799009.1391088758.1611385048-149464268.1611385048 [2021, April 2].

Samart, P. (2012). The development of mathematical thinking of Mathayomsuksa 2 students through the process of making mathematical thinking. Master of Education Thesis in Mathematics Education, Chulalongkorn University. [In Thai]

Stacey, K. (2007). What is Mathematical Thinking and Why is it Important?. [Online]. Available: http://www.criced.tsukuba.ac.jp/math/apec/apec2007/progress_report/ symposium/Kays_Stacey.pdf [2021, April 2].