Association of Ambiguity Tolerance and Problem-solving Ability of Students in Mathematics

Authors

  • Mabel Buela Assistant Professor 1, University of the Philippines Los Baños, Los Baños, Laguna 4031, Philippines
  • Ma. Nympha Joaquin Professor 1, University of the Philippines Diliman, Diliman, Quezon City 1101, Philippines
  • Nancy Tandang Assistant Professor 6, University of the Philippines Los Baños, Los Baños, Laguna 4031, Philippines
  • Abriel Bulasag Assistant Professor 1, University of the Philippines Los Baños, Los Baños, Laguna 4031, Philippines

Keywords:

ambiguity tolerance, non-routine word problems, problem-solving ability

Abstract

Development of problem-solving ability among students is one of the main goals of mathematics education.  This study investigated the association between student ambiguity tolerance and their problem-solving ability in mathematics. It also sought to determine whether or not a student’s reaction to unfamiliar or uncertain stimuli influences their ability to solve non-routine word problems. A total of 182 junior high school students participated in this study. Two instruments, namely: McLain Multiple Stimulus Types Ambiguity Tolerance (MSTAT-II) Scale and a problem-solving ability test were considered in this study. Both tests were subjected to validity and reliability analyses. Results showed that ambiguity tolerance and problem-solving ability have a moderate positive association. Further, ambiguity tolerance was found to be a significant determinant of the problem-solving ability in mathematics of a student. A detailed analysis of student solutions and empirical evidences suggest that the use of open-ended problems be employed across various subject matters in mathematics to develop not only problem-solving skills but critical and logical reasoning as well as creativity among students. 

References

. A. Lee. “Non-routine problem solving heuristics of selected high-performing students in University of the Philippines Rural High School.” M.S. thesis, University of the Philippines Los Baños, Philippines, (2011).

. L. Sibbaluca. (2009). “Clarification of ambiguous problems: Effects on problem solving ability and attitude towards mathematics.” Alipato: A Journal of Basic Education. [On-line] 3(3). Available: http://journals.upd.edu.ph/index.php/ali/article/view/1758.

. National Council of Teachers of Mathematics. Curriculum and standards for school mathematics. Reston, VA: Author. (2000)

. T. Jokinen. “Global leadership competencies: A review and discussion.” Journal of European Industrial Training, vol. 29, pp.199–216, 2005.

. Y. Yamazaki and D. Kayes. “An experiential approach to cross-cultural learning: A review and integration of competencies for successful expatriate adaptation.” Academy of Management Learning & Education, vol. 3, pp. 362–379. 2004.

. A. Furnham and J. Marks. (2013) “Tolerance of ambiguity: A review of the recent literature.” Psychology. [On-line]. 4(9), pp. 717-728. Available: http://www.scirp.org/journal/psych.

. R. Eisinger. “Teaching ambiguity.” Internet: https://www.insidehighered.com/views/teaching-ambiguity, Feb. 21, 2011 [Dec. 2, 2016].

. R. Tallent. “Being ambiguous: Problem solving through teaching ambiguity in IMC classrooms.” Review of Journalism and Mass Communication, vol 4(1), pp.1-18, 2016.

. J. Arquero and D. McLain. “Preliminary validation of the Spanish version of the Multiple Stimulus Types Ambiguity Tolerance Scale (MSTAT-II).” The Spanish Journal of Psychology, 2010.

. K. Stoycheva. “Intolerance, uncertainty, and individual behaviour in ambiguous situations.” NIAS. Pp. 63-73, 2011

. D. McLain. “Evidence of the properties of an ambiguity tolerance measure: The Multiple Stimulus Types Ambiguity Tolerance Scale-II (MSTAT-II).” Psychological Reports, vol. 201, pp. 975-988, 2009.

. H. Brown. “Principles of language learning and teaching” 5th ed. White Plains, NY: Pearson Education, 2007

. L. Steenkamp and P. Wessels. “An analysis of the tolerance for ambiguity among accounting students.” International Business & Economics Research Journal, vol. 13(2). Canada, 2014.

. I. Erten and E. Topkaya. “Understanding tolerance of ambiguity of EFL learners in reading classes at tertiary level.” Novitas-ROYAL, vol.3(1), pp. 29-44, 2009.

. J. Arquero and C. Tejero. “Ambiguity tolerance levels in Spanish accounting students: A comparative study.” Revista de Contabilidad-Spanish Accounting Review, vol. 12(1), 2009.

. W. Chu, D. Lin, T. Chen, P. Tsai and C. Wang. (2015). “The relationships between ambiguity tolerance, learning strategies, and learning Chinese as a second language.” System. [On-line] 49, pp. 1-16. Available: http://dx.doi.org/10/1016/j.system.2014.10.015.

. A. Bahar and C. Maker. “Exploring the relationship between mathematical creativity and mathematical achievement.” Asia-Pacific Journal of Gifted and Talented Education, vol. 3(1), pp. 33-48, 2011.

. B. Sriraman. “Are giftedness & creativity synonyms in mathematics? An analysis of constructs within the professional and school realms.” The Journal of Secondary Gifted Education, vol. 17, pp. 20–36, 2005.

. Y. Li and D. Li. “Open-ended questions and creativity education in mathematics.” Research in Mathematical Eucation, vol. 13(1), pp. 23-30, 2009.

. M. Lumpas. “Mathematics error, difficulties, and though processes of students as gleaned from the TIMSS.” M.A. thesis, University of the Philippines Diliman, Philippines, 1997.

. R. Williams. “Leadership for school reform: Do principal decision-making reflect a collaborative approach?” Canadian Journal of Educational Administration and Policy, vol. 53, pp. 1-7, 2006.

. R. Dianco. “Ambiguity tolerance: relationship to the mathematical ability of public and private school students.” M.A. thesis, University of the Philippines Diliman, Philippines, 2014.

. Wells, C.S. & Wollack, J.A. (2003). An instructor’s guide to understanding reliability. Retrieved on June 4th, 2010 from the World Wide Web,http//:www.testing.wisc.edu/reliability,

. G. Ferguson and Y. Takane. “Statistical Analysis in Psychology and Education.” 6th ed. NY: McGraw-Hill Book Company, 1989.

. J. Pallant. “A step by step guide to data analysis using SPSS for Windows (Version 10).” Open University Press. Philadelphia, 2001.

. B. Thompson. “Understanding reliability and coefficient alpha, really.” in Score reliability: Contemporary thinking on reliability issues, B. Thompson (Ed.), Thousand Oaks, CA: Sage, 2003, pp. 3–23.

. B. Kim and J. Lee. “A study on the development of creativity in the secondary mathematics in Korea.” Journal of the Korea Society of Mathematical Education, Series D. vol. 5(1),pp. 45-58, 2001.

. S. Habibullah and J. Ashraf. “Factors affecting academic performance of primary school children.” Pakistan Journal of Medical Research, vol. 52(2), 2013.

. J. Cheema. “The private-public literacy divide amid educational reform in Qatar: What does PISA tell us?” Int. Res. Educ. 61, pp. 173-189, 2015.

. M. Borja. “Mathematical creativity on students’ solutions to open-ended problems.” Masters in Teaching, special problem, Philippine Normal University, Philippines, 2011.

. E. Mann. “Creativity: The essence of mathematics.” Journal for the Education of the Gifted, vol. 30, pp. 236–262, 2006.

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Published

2020-04-07

How to Cite

Buela, M. ., Joaquin, M. N. ., Tandang, N. ., & Bulasag, A. . (2020). Association of Ambiguity Tolerance and Problem-solving Ability of Students in Mathematics. International Journal of Sciences: Basic and Applied Research (IJSBAR), 51(1), 12–24. Retrieved from https://www.gssrr.org/index.php/JournalOfBasicAndApplied/article/view/11027

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