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    • EXPLORING THE MENTAL STRUCTURE AND MECHANISM: HOW THE STYLE OF TRUTH-SEEKERS IN MATHEMATICAL PROBLEM-SOLVING? | Kurniati | Journal on Mathematics Education

    EXPLORING THE MENTAL STRUCTURE AND MECHANISM: HOW THE STYLE OF TRUTH-SEEKERS IN MATHEMATICAL PROBLEM-SOLVING?

    Dian Kurniati, Purwanto Purwanto, Abdur Rahman As'ari, Dwiyana Dwiyana

    Abstract


    The Mathematics students who perform truth-seeking process upon solving mathematical problems were unique. Therefore, the study deems it necessary to know students’ mental structure and mechanism so that they can make the right decision by performing truth-seeking. However, no research has delved into the mental structures and mechanisms of Mathematics students, who tend to grapple with truth-seeking processes extensively. This study was explorative qualitative because the aims to describe the types of mental structure and mechanism of Mathematics students upon the truth-seeking process in solving mathematical problems. The research subjects are four Mathematics students at the University of Jember who perform truth-seeking and can communicate fluently when performing think-aloud. Their responses in the answer sheets drove the determination of research subjects' tendency in truth-seeking. Afterward, the results of think-aloud and task-based interview were put under analysis, so as to determine the types of mental structure and mechanism. The research findings have indicated that (1) all mental structures have been constructed by all research subjects and (2) two types of mental mechanism are evident among the subjects, including the process of interiorization coupled with coordination and another process encompassing interiorization, coordination, and reversal.

    Keywords


    Mental Structure and Mechanism; Truth-Seeking; Solving Mathematical Problems

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    References


    Arnon, I., Cottrill, J., Dubinsky, E., Oktaç, A., Fuentes, S. R., Trigueros, M., & Weller, K. (2014). APOS Theory A Framework for Research and Curriculum Development in Mathematics Education. New York: Springer Science+Business Media.

    As ’ari, A. R., Mahmudi, A., & Nuerlaelah, E. (2017). Our Prospective Mathematics Teachers are not Critical Thinkers Yet. Journal on Mathematics Education, 8(2), 145-156.

    Assessment, I. (2017). California Critical Thinking Disposition Inventory (CCTDI). San Jose CA: The California Academic Press.

    Astawa, I. W. P., Budayasa, I. K., & Juniati, D. (2018). The Process of Student Cognition in Constructing Mathematical Conjecture. Journal on Mathematics Education, 9(1), 15-26.

    Biber, A. C., Tuna, A., & Incikabi, L. (2013). An Investigation of Critical Thinking Dispositions of Mathematics Teacher Candidates. Educational Research, 4(2), 109-117.

    Brijlall, D., & Maharaj, A. (2015). Exploring Pre-service Teachers’ Mental Constructions When Solving Problems Involving Infinite Sets. International Journal Education Science, 9(3), 273–281.

    Cansoy, R., & Turkoglu, M. E. (2017). Examining the Relationship between Pre-Service Teachers’ Critical Thinking Disposition, Problem Solving Skills and Teacher Self-Efficacy. International Education Studies, 10(6), 23-35.

    Dubinsky, E. (2002). Reflective Abstraction. In Reflective Abstraction in Tall, D (Ed.) Advanced Mathematical Thinking (4th ed., pp. 95–123). Dordrecht: Kluwer.

    Em?r, S. (2013). Contributions of Teachers’ Thinking Styles to Critical Thinking Dispositions (Istanbul-Fatih Sample ). Educational Sciences: Theory & Practice, 13(1), 337–347.

    Ennis, R. (1985). A Logical Basis for Measuring Critical Thinking Skills. Educational Leadership, 43(2), 44–48.

    Facione, P. A. (2000). The Disposition Toward Critical Thinking: Its Character, Measurement, and Relationship to Critical Thinking Skill. Informal Logic, 20(1), 61-84.

    Facione, P. A., Sánchez, C. A., Facione, N. C., & Gainen, J. (1995). The Disposition Toward Critical Thinking. The Journal of General Education, 44(1), 1–25.

    Jacobson, E. D. (2017). Field Experience and Prospective Teachers’ Mathematical Knowledge and Beliefs. Journal for Research in Mathematics Education, 48(2), 148–190.

    Jacobson, E., & Kilpatrick, J. (2015). Understanding Teacher Affect, Knowledge, and Instruction Over Time: An Agenda for Research on Productive Disposition for Teaching Mathematics. Journal of Mathematics Teacher Education, 18(5), 401-406.

    Kanbay, Y., & Okanl?, A. (2017). The Effect of Critical Thinking Education on Nursing Students’ Problem Solving Skills. Contemporary Nurse, 53(3), 313-321.

    Karagöl, ?., & Bekmezci, S. (2015). Investigating Academic Achievements and Critical Thinking Dispositions of Teacher Candidates. Journal of Education and Training Studies, 3(4), 86-92.

    Kim, K. S., & Choi, J. H. (2014). The Relationship Between Problem Solving Ability, Professional Self-Concept, and Critical Thinking Disposition of Nursing Students. International Journal of Bio-Science and Bio-Technology, 6(5), 131–142.

    Kurniati, D., & Zayyadi, M. (2018). The Critical Thinking Dispositions of Students Around Coffee Plantation Area in Solving Algebraic problems. International Journal of Engineering & Technology, 7(2.10), 18-20.

    Lai, E. R. (2011). Critical Thinking: A Literature Review Research Report. United Kingdom: Pearson Always Learning.

    Mena-Lorca, A., & Parraguez, A. M. M. (2016). Mental constructions for the group isomorphism theorem. Mathematics Education, 11(2), 377-393.

    Monica, Z., Jojo, M., Maharaj, A., & Brijlall, D. (2012). Reflective Abstraction and Mathematics Education: The Genetic Decomposition of the Chain Rule-Work in Progress. US-China Education Review B, 4, 408-414.

    Moore, K. (2010). The Three-Part Harmony of Adult Learning, Critical Thinking, and Decision-Making. Journal of Adult Education, 39(1), 1–10.

    Mudrikah, A. (2016). Problem-Based Learning Associated by Action-Process-Object-Schema (APOS) Theory to Enhance Students’ High Order Mathematical Thinking Ability. International Journal of Research in Education and Science, 2(1), 125–135.

    Özyurt, Ö. (2015). Examining The Critical Thinking Dispositions and The Problem-Solving Skills of Computer Engineering Students. Eurasia Journal of Mathematics, Science and Technology Education, 11(2), 353-361.

    Shahrill, M., Prahmana, R. C. I., & Roslan, R. (2018). The relationships within the mathematical content of teachers’ lesson sequences. Journal of Physics: Conference Series, 943(1), 012001.

    Stoilescu, D. (2016). Aspect of Theories, Framework and Paradigms in Mathematics Education Research. European Journal of Science and Mathematics Education, 4(2), 140–154.

    Syamsuri, Purwanto, Subanji, & Irawati, S. (2017). Using APOS Theory Framework: Why Did Students Unable to Construct a Formal Proof? International Journal on Emerging Mathematics Education, 1(2), 135-146.

    Tumkaya, S., Aybek, B., & Aldag, H. (2009). An Investigation of University Students’ Critical Thinking Disposition and Perceived Problem Solving Skills. Egitim Arastirmalari - Eurasian Journal of Educational Research, Summer (36), 57-74.

    Widyatiningtyas, R., Kusumah, Y. S., Sumarmo, U., & Sabandar, J. (2015). The Impact of Problem-Based Learning Approach to Senior High School Students’ Mathematics Critical Thinking Ability. Journal on Mathematics Education, 6(2), 107-116.




    DOI: https://doi.org/10.22342/jme.9.2.5377.311-326

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    Journal on Mathematics Education
    Doctoral Program on Mathematics Education
    Faculty of Teacher Training and Education, Universitas Sriwijaya
    Kampus FKIP Bukit Besar
    Jl. Srijaya Negara, Bukit Besar
    Palembang - 30139
    email: jme@unsri.ac.id
    p-ISSN: 2087-8885 | e-ISSN: 2407-0610

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