Development and Validating the Number and Mathematical Operations Problem-Solving Framework in the Form of Higher Order Thinking Skill (HOTS) through Bar Model Strategy - A Fuzzy Delphi Methods
DOI:
https://doi.org/10.37134/jsml.vol11.sp.1.2023Keywords:
Fuzzy Delphi Method, framework, HOTS, Bar Model, performanceAbstract
This study was conducted to develop and obtain the expert consensus using Fuzzy Delphi Method (FDM) on the Number And Mathematical Operations Problem-Solving Framework (NMOPSF) in the form of HOTS through Bar Model Strategy. NMOPSFthrough Bar Model strategy is developed as an important guide for pupils in solving HOTS problem-solving questions in Mathematics. Through FDM, the process of obtaining expert consensus was carried out on two stages. The first stage is a structured interview administered to 7 experts in Mathematics education to identify the components in the NMOPSFthrough Bar Model strategy. On the second stage, the consensus of 15 experts in Mathematics education was obtained using a 7-point Likert scale questionnaire. The interview conducted has identified four main components in NMOPSFthrough Bar Model strategy, namely Concept, Procedure/Algorithm, Representation and Strategy, two special components, namely the Value and ICT (Cybergogy) and two items namely Polya Model and the Bar Model Strategy. From the research conducted, it is found that all the components and items for the NMOPSFthrough Bar Model strategy have met the three main conditions of FDM which is the threshold value (dconstruct) ≤ 0.2, the percentage of expert group consensus ≥ 75% and the value of α-Cut (Fuzzy score) ≥ 0.5. These findings suggest that all the components and items for the NMOPSFthrough Bar Model strategy are necessary to help Year Five pupils solve HOTS problem-solving questions in Mathematics well.
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Abdul Halim Abdullah, Nur Liyana Zainal Abidin, Marlina Ali (2015). Analysis of Students’ Errors in Solving Higher Order Thinking Skills (HOTS) Problems for the Topic of Fraction. Asian Social Science, 11(21), 133-142.
Abdul Halim Abdullah, Nur Liyana Zainal Abidin, Mahani Mokhtar (2017). Using Thinking Blocks to Encourage the Use of Higher Order Thinking Skills among Students When Solving Problems on Fractions. World Academy of Science, Engineering and Technology International Journal of Social, Behavioral, Educational, Economic, Business and Industrial Engineering, 11(2), 252-258.
Adler M, Ziglio E. (1996). Gazing Into The Oracle: The Delphi Method and Its Application To Social Policy and Public Health. London: Jessica Kingsley Publishers.
Arihasnida Ariffin, Zainora Baisar, Norhasyimah Hamzah, Siti Nur Kamariah Rubani, Tamil Selvan Subramaniam (2018). Kaedah Melukis Gambarajah: Satu Pendekatan Dalam Proses Penyelesaian Masalah Matematik. Online Journal for TVET Practioners, 4811, 1-7.
Augustine Anak Singga, Effandi Zakaria (2020). Penggunaan Model Bar Dalam Menyelesaikan Masalah Tahun 6. Jurnal Dunia Pendidikan, 2(1), 113-124.
Azrul Azwan Mohd Abdul Aziz, Marzita Puteh, Nor’ain Mohd Tajudin, Mazlini Adnan. (2017). Pupils Achievement Towards Higher Order Thinking Skill Mathematics Questions With Bar Model Method. Science International (Lahore), 29(4), 733-736.
Bodjanova S. (2006). Median Alpha-Levels of a Fuzzy Number. Fuzzy Sets and Systems, 157(7), 879-891.
Chen CT. (2000). Extensions of the TOPSIS for Group Decision-Making under Fuzzy Environment. Fuzzy Sets and Systems, 114, 1-9.
Cheng CH, Lin Y. (2002). Evaluating the Best Main Battle Tank Using Fuzzy Decision Theory with Linguistic Criteria Evaluation. European Journal of Operational Research, 142(1), 74-86.
Chu HC, Hwang GJ. (2008). A Delphi-based Approach to Developing Expert Systems with the Cooperation of Multiple Experts. Expert System with Applications, 34(28), 24-40.
Erni Sofinah Matzin, Mundia, L. (2018). Effective Learning of Mathematics by Year 7 Students using the Bar Model Method: Case of Brunei Students. Journal of Studies in Education, 8(1), 1-16.
Malaysian Ministry of Education (MOE). (2012). Laporan Awal Pelan Pembangunan Pendidikan Malaysia 2013-2025. Putrajaya: Kementerian Pendidikan Malaysia.
Malaysian Ministry of Education (MOE). (2016). Laporan TIMSS 2015. Putrajaya: Bahagian Perancangan dan Penyelidikan Dasar Pendidikan, Kementerian Pendidikan Malaysia.
Malaysian Ministry of Education (MOE). (2018a). Pelaporan Pentaksiran Sekolah Rendah 2018. Putrajaya: Kementerian Pendidikan Malaysia.
Malaysian Ministry of Education (MOE). (2018b). KadPelaporan Pencapaian Malaysia dalam PISA 2018. Putrajaya: Kementerian Pendidikan Malaysia.
Malaysian Ministry of Education (MOE). (2019). Pelaporan Pentaksiran Sekolah Rendah 2019. Putrajaya: Kementerian Pendidikan Malaysia.
Marin KA. (2015). Modeling Whole Number Operations. Lesley University Summer Institute.
Mazlini Adnan, Effandi Zakaria, Siti Mistima Maat (2012). Relationship between mathematics beliefs, conceptual knowledge and mathematical experience among pre-service teachers. Procedia-Social and Behavioral Sciences, 46, 1714-1719
Mohd Azarul Mohd Mokhtar, Ahmad Fauzi Mohd Ayub, Rozita Radhiah Said, Siti Salina Mustakim (2019). Analysis of Year Four Pupils’ Difficulties in Solving Mathematical Problems Involving Fraction. International Journal of Academic Research in Business and Social Sciences, 9(11), 1561-1569.
Mohd Ridhuan Mohd Jamil, Nurulrabihah Mat Noh (2020). Kepelbagaian Metodologi Dalam Penyelidikan Rekabentuk dan PembangunanShah Alam: Qaisar Prestige Resources.
Muenks K, Wigfield A, Eccles JS. (2018). I can do this! The development and calibration of children’s expectations for success and competence beliefs. Developmental Review.
Murray JW, Hammons JO. (1995) Delphi: A Versatile Methodology for Conducting Qualitative Research. Review of Higher Education, 18(4), 23-26.
Obiero J. (2018). The Relationship between Achievement Motivation and Mathematic Performance amongst Female Learners and in Selected Urban Girls’ Secondary Schools in Kenya. Global Journal of Social Sciences Studies, 4(1), 23-29.
Phonapichat P, Wongwanich S, Sujiva S. (2014). An analysis of elementary school students’ difficulties in mathematical problem solving. Procedia-Social and Behavioral Sciences, 116, 3169-3174.
Polya G. (1957). How to Solve It: A New Aspect of Mathematical Method: Princeton University Press.
Ragu Ramasamy, Marzita Puteh (2018). Bar Model Method for Higher Order Thinking Skills Questions in Mathematics for Dual Language Program Pupils. International Journal of Academic Research in Business and Social Sciences, 8(9), 1456-1462.
Rajendran Nagappan (2019). Teaching and Acquiring Higher Order Thinking Skills: Theory and Practise. Tanjung Malim: Universiti Pendidikan Sultan Idris.
Richey RC, Klein JD. (2007). Design and Development Research Methods, Strategies, and Issues. Mahwah, NJ Lawrence Erlbaum Associates, Publishers.
Saedah Siraj, Norlidah Alias, Dorothy DeWitt, Zaharah Hussin (2013). Design and Developmental Research. Emergent Trends in Educational Research. Kuala Lumpur: Pearson.
Sharifah Osman, Che Nurul Azieana Che Yang, Mohd Salleh Abu, Norulhuda Ismail, Hanifah Jambari, Jeya AK. (2018). Enhancing Students’ Mathematical Problem-Solving Skills through Bar Model Visualisation Technique. International Electronic Journal of Mathematics Education, 13(3), 273-279.
Tang CW, Wu CT. (2010). Obtaining a Picture of Undergraduate Education Quality: A Voice From Inside The University, Springer, Higher Education, 60, 269-286.
Tuan Siti Humaira Tuan Hashim, Mohamad Amir Shah Ahmad (2016). Analisis Kesalahan Newman Dalam Penyelesaian Masalah Matematik Tahun 3. Jurnal Pendidikan Sains & Matematik Malaysia, 6(2), 69-84.
Wang MJ, Kang J. (2006). Cybergogy of engaged learning through information and communication technology: A framework for creating learner engagement. In D. Hung & MS. Khine (Eds.), Engaged learning with emerging technologies (pp. 225-253). New York: Springer Publishing.
Yap JL, Siti Rahaimah Ali (2018). Keberkesanan Pendekatan Model Bar Dalam Penyelesaian Masalah Berayat Matematik Operasi Tolak Tahun Empat. Jurnal Pendidikan Sains & Matematik Malaysia, 8(2), 35-44.
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