Development of Learning Materials Oriented on Problem-Based Learning Model to Improve Students’ Mathematical Problem Solving Ability and Metacognition Ability

Meryance V. Siagian; Sahat Saragih; Bornok Sinaga

doi:10.29333/iejme/5717

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Meryance V. Siagian ¹ ^* , Sahat Saragih ¹, Bornok Sinaga ¹

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¹ State University of Medan, INDONESIA^* Corresponding Author

Abstract

This study aims to analyze the effectiveness of learning materials oriented on problem-based learning models, the improvement mathematical problem solving ability and students’ metacognition ability. Learning materials that developed are lesson plan, student book, student worksheet, mathematical problem solving ability and students’ metacognition ability test. This research is a development research by using the development model of Thiagarajan, Semmel and Semmel (1974). Valid learning materials according to experts, tested in class VII of SMP Negeri 13 Medan (seventh year junior high school). The results showed that learning materials oriented on problem-based learning met the effective criteria and improved mathematical problem solving and metacognition ability. Level students’ metacognition when problem solving met level of strategic use, aware use, and tacit use.

Keywords

development of learning materials
mathematical problem solving ability
metacognition ability
problem-based learning

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Article Type: Research Article

INT ELECT J MATH ED, Volume 14, Issue 2, May 2019, 331-340

https://doi.org/10.29333/iejme/5717

Publication date: 17 Feb 2019

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Article Downloads: 5694

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References

Abdullah, N. I., Tarmizi, R. A., & Abu, R. (2010). The Effects of Problem Based Learning on Mathematics Performance and Affective Attributes in Learning Statistics at Form Four Secondary Level. Procedia Sosial and Behaviour Science (Elsevier), 8(370-376). https://doi.org/10.1016/j.sbspro.2010.12.052
Ahghar, G. (2012). Effect of Problem-solving Ability Education on Auto-regulation learning from High School Students in Tehran. Procedia - Social and Behavioral Sciences (Elsevier), 69, 688-694. https://doi.org/10.1016/j.sbspro.2012.11.462
Aliyu, M. M., Fung, Y. M., Abdullah, M. H., & Hoon, T. B. (2016). Developing Undergraduates’ Awareness of Metacognitive Knowledge in Writing Through Problem-based Learning. International Journal of Applied Linguistics & English Literature (IJALEL), 5(7), December 2016, ISSN 2200-3592 (Print), ISSN 2200-3452 (Online).
Aljaberi, N. M., & Gheith, E. (2015). University Students’ Level of Metacognitive Thinking and their Ability to Problems Solve. American International Journal of Contemporary Research, 5(3).
Amalia, E., Surya, E., & Syahputra, E. (2017). The Effectiveness of Using Problem Based Learning (PBL) In Mathematics Problem Solving Ability for Junior High School Students. International Journal of Education Research and Innovative Ideas in Education, 3(2), 3402-3406.
Amin, I., & Sukestiyarno, Y. L. (2015). Analysis of Metacognitive Ability On Learning Mathematics In High School. International Journal of Education and Research, 3(3).
Aufa, M., Saragih, S., & Minarni, A. (2016). Development of Learning Materials through Problem Based Learning Model Based on the Context of Aceh Cultural to Improve Mathematical Communication Ability and Social Ability of SMP 1 Muara Batu Students. Journal Education and Practice, 7(4), 2222-2288.
Aydogdu. (2014). A On Geometry Research Problem Solving Strategies Used By Elementary Mathematics Teacher Candidates. Journal of Educational and Instructional Studies in The World, 4(1), Article: 07 ISSN: 2146-7463. Turkey: WJEIS.
Batubara, N. F., Mukhtar, S. E., & Syahputra, E. (2017). Analysis Of Student Mathematical Problem Solving Ability At Budi Satrya Of Junior High School. International Journal of Advance Research and Innovative Ideas in Education (IJARIIE), 3(2), ISSN (O) -2395-4396.
Chimuma, L. L., & Johnson, I. D. (2016). Assessing Students’ Use of Metacognition during Mathematical Problem Solving Using Smartpens. Educational Research: Theory & Practice, 28(1), 22-36.
Das, R., & Das, G. C. (2013). Math Anxiety: The Poor Problem Solving Factor in School Mathematics. International Journal of Scientific and Research Publications, 3(4).
Gorghiu, G., Drăghicescu, M. L., Cristea, S., Petrescu, M. A., & Gorghiu, M. L. (2015). Problem-Based Learning - An Efficient Learning Strategy In The Science Lessons Context. Procedia Sosial and Behavior Science (Elsevier), 191, 1865-1870. https://doi.org/10.1016/j.sbspro.2015.04.570
Gul, F., & Shehzad, S. (2012). Relationship between metacognition, goal orientation and academic achievement. Procedia Sosial and Behavior Science (Elsevier), 47, 1864-1868. https://doi.org/10.1016/j.sbspro.2012.06.914
Gurbin, T. (2015). Metacognition And Technology Adoption: Exploring Influences. Procedia Sosial and Behavior Science (Elsevier), 191, 1576-1582. https://doi.org/10.1016/j.sbspro.2015.04.608
Hake, R. R. (1999). Analizing Change / Gain Scores. Woodland Hills: Dept. Of Physics, Indiana University.
Hoiriyah, D., Fauzi, K. M. A., & Syahputra, E. (2014). Increasing the ability to solve mathematical problems and self-efficacy of students through problem-based learning in MAN 1 Padangsidimpuan. Journal of Paradikma Mathematics Education, 7(2), 40-52.
Jaafar, W. M. W., & Ayub, A. F. M. (2010). Mathematics Self-efficacy and Meta-Cognition Among University Students. Procedia - Social and Behavioral Ssciences, 8, 519–524. https://doi.org/10.1016/j.sbspro.2010.12.071
Jaisook, S., Chitmongkol, S., & Thongthew, S. (2013). A Mathematics Instructional Model by Integrating Problem-Based Learning and Collaborative Learning Approaches. Silpakorn University Journal of Social Sciences, Humanities, and Arts, 13(2), 271-294.
Jayapraba, G. (2013). Metacognitive Instruction and Cooperative Learning Strategies For Promoting Insightful Learning in Science. Tirunelveli University Scholar Research. India. International Journal on New Trends in Education and Their Implications, 4(5), 165-172.
Karaduman, B. (2013). The Relationship Between Prospective Primary Mathematics Teachers’ Attitudes Towards Problem-Based Learning And Their Studying Tendencies. International Journal on New Trends in Education and Their Implications, 4(4), 145-151.
Kazemi, F., Fadaee, M. R., & Bayat, S. (2010). A Subtle View to Metacognitive Aspect of Mathematical Problems Solving. Procedia Social and Behavior science (Elsevier), 8, 420-426. https://doi.org/10.1016/j.sbspro.2010.12.058
Laurens, T. (2010). Valid Student Metacognition Gap and Reliability. Journal of Education and Teaching, 17(2), 201-210.
Liljedahl, P., Santos, M., Malaspina, T. U., & Brother, R. (2016). Problem Solving in Mathematics Education. ICME-13 Topical Surveys. Germany: Springer Open. https://doi.org/10.1007/978-3-319-40730-2
Merritt, J., Lee, M. Y., Rillero, P., & Kinach, B. M. (2017). Problem-Based Learning in K-8 Mathematics and Science Education: A Literature Review. Interdisciplinary Journal of Problem-Based Learning (IJPBL), 11(2), (ISSN 1541-5015). https://doi.org/10.7771/1541-5015.1674
Muir, T., Beswick, K., ..., Williamson, J. (2008). I am not Very Good at Solving Problems: An Exploration of Student’s Problem Solving Behavior. The Journal of Mathematical Behavior, 27(3), 228-241. https://doi.org/10.1016/j.jmathb.2008.04.003
Murray-Harvey, R., Pourshafie, T., & Rayes, S. W. (2013). What Teacher Learning Students Learn About Collaboration from Problem-Based Learning. Journal of Problem Based Learning in Higher Education, 1(1).
Mustafa., Sinaga, B., & Asmin Than. (2017). Development of Learning Materials Through Problem Based Learning Model to Improve Students Metacognition Ability at SMPN 17. Journal of Education and Practice, 8, 24. (ISSN 2222-1735).
Nieveen, N. (1999). Prototyping to Reach Product Quality in Plomp, T; Nieveen, N., Gustafson, K, Branch, RM, & Van den Akker, J (eds) Design approach and tools in education and training. London: Kluwer Academic Publisher.
North Central Regional Laboratory (NCREL). (2007). Metacognition. (online). Retrieved on October 20, 2016 from http://www.ncrel.org/sdrs/areasissues/students/learning/irlmetn.html
Olayinka, A. R. B. (2016). Effects of Instructional Materials on Secondary Schools Students’ Academic Achievement in Social Studies in Ekiti State, Nigeria. World Journal of Education, 6(1). https://doi.org/10.5430/wje.v6n1p32
Padmavathy, R. D., & Mareesh, K. (2013). Effectiveness of Problem Based Learning in Mathematics. International Multidisciplinary e-Journal, II(I), Jan -2013, ISSN 2277 - 4262.
Panoura, A., Philippou, G., & Christou, C. (2005). Young Pupil’s Metacognitive Ability In Mathematics, European Research in Mathematics, Department of Education, University of Cyprus, Cyprus. (online). Retrieved on 27 September 2016 from http://p4mriunpat.wordpress.com/2011/11/11/metacognition-in-mathematics-learning
Polya, G. (1973). How To Solve It: A New Aspect of Mathematical Method. New Jersey: Princeton University Press.
Putra, H. D., Herman, T., & Sumarmo, U. (2017). Development of Student Worksheets to Improve the Ability of Mathematical Problem Posing. International Journal on Emerging Mathematics Education (IJEME), 1(1), 1-10. https://doi.org/10.12928/ijeme.v1i1.5507
Ranjanie, B., & Rajeswari, V. (2016). Metacognitive Awareness And Academic Achievement In Genetics Through Problem Based Learning. International Journal of Current Research, 8(01), 25883-25884. January, 2016, ISSN: 0975-833X.
Ruseffendi, E. T. (1991). Introduction To Helping Teachers Develop Their Competency in Teaching Mathematics to Improve CBSA. Bandung: Tarsito.
Sajadi, M., Amiripour, P., & Rostamy-Malkhalifeh, M. (2013). The Examining Mathematical Word Problems Solving Ability under Efficient Representation Aspect. Mathematics Education Trends and Research, 1-11.
Sapta, A., Hamid, A., & Syahputra, E. (2018). Assistance of Parents in the Learning at Home. Journal of Physics: Conf. Series 1114(2018), 012020, https://doi.org/10.1088/1742-6596/1114/1/012020
Saragih, S., & Habeahan, W. L. (2014). The Improving of Mathematical Problem Solving Ability and Students’ Creativity by Using Problem Based Learning in SMP Negeri 2 Siantar. Journal of Education and Practice, 5(35), 123-132.
Saragih, S., & Napitupulu, E. (2015). Developing Student-Centered Learning Models to Improve High Order Mathematical Thinking Ability. International Education Studies, 8(6). https://doi.org/10.5539/ies.v8n6p104
Schwartz, R., & Perkins, D. (1989). Teaching Thinking-Issues and Approaches. Pacific Grove, CA: Midwest Publications.
Sengul, S., & Katranci, Y. (2012). Metacognitive Aspects of Solving Function Problems. Elsevier, Procedia Social and Behavioral Sciences, 46, 2178-2182. https://doi.org/10.1016/j.sbspro.2012.05.450
Simamora, S. J., Simamora, R. E., & Sinaga, B. (2017b). Application of Problem Based Learning to Increase Students’ Problem Solving Ability on Geometry in Class X Public High School 1 Pagaran. International Journal of Sciences: Basic and Applied Research (IJSBAR), 36(2), 234-251.
Sinaga, B. (2007). Development of mathematical learning models based on problems based on batak culture (PBM-B3). Dissertation. Not published. Surabaya: Postgraduate Program in Surabaya State University.
Smith, M. J. (2013). An Exploration of metacognition and Its Effect on Mathematical Performance in Differential Equations. Journal of the Scholarship of Teaching and Learning, 13(1), 100-111.
Tambychik, T., & Meerah, T. S. M. (2010). Students’ Difficulties in Mathematics Problem-Solving: What Do They Said ?. International Conference on Mathematics Education Research 2010 (ICMER 2010 Procedia Social and Behavioral Sciences, 8(2010), 142-151. https://doi.org/10.1016/j.sbspro.2010.12.020
Tan, C. P., Van der Molen, H. T., & Schmidt, H. G. (2015). To What does the Problem Based Learning Contribute to Students’ Professional Identity Development? Singapore: Elsevier LT.
Thiagarajan, S., Semmel, D. S., & Semmel, M. I. (1974). Intructional Development for Teachers of Expectional Children Training A Sour Book. Blomington: Central for Innovation on Teaching The Handicapped.
Tosun, C., & Senocak, E. (2013) The Effects of Problem-Based Learning on Metacognitive Awareness and Attitudes toward Teachers’ Prospective Teachers with Different Academic Backgrounds Australian Journal of Teacher Education, 38(3), March 2013.
Trianto. (2011). Designing Innovative-Progressive Learning Models: Concepts, Platforms and Their Implementation in the Education Unit Level Curriculum (KTSP). Jakarta: Kencana.
Van den Akker. (1999). Social Work Research and Evaluation (3^rd Ed.). Illionis: FE Peacock Publishers, Inc.

How to cite this article

APA

Siagian, M. V., Saragih, S., & Sinaga, B. (2019). Development of Learning Materials Oriented on Problem-Based Learning Model to Improve Students’ Mathematical Problem Solving Ability and Metacognition Ability. International Electronic Journal of Mathematics Education, 14(2), 331-340. https://doi.org/10.29333/iejme/5717

Vancouver

Siagian MV, Saragih S, Sinaga B. Development of Learning Materials Oriented on Problem-Based Learning Model to Improve Students’ Mathematical Problem Solving Ability and Metacognition Ability. INT ELECT J MATH ED. 2019;14(2):331-40. https://doi.org/10.29333/iejme/5717

AMA

Siagian MV, Saragih S, Sinaga B. Development of Learning Materials Oriented on Problem-Based Learning Model to Improve Students’ Mathematical Problem Solving Ability and Metacognition Ability. INT ELECT J MATH ED. 2019;14(2), 331-340. https://doi.org/10.29333/iejme/5717

Chicago

Siagian, Meryance V., Sahat Saragih, and Bornok Sinaga. "Development of Learning Materials Oriented on Problem-Based Learning Model to Improve Students’ Mathematical Problem Solving Ability and Metacognition Ability". International Electronic Journal of Mathematics Education 2019 14 no. 2 (2019): 331-340. https://doi.org/10.29333/iejme/5717

Harvard

Siagian, M. V., Saragih, S., and Sinaga, B. (2019). Development of Learning Materials Oriented on Problem-Based Learning Model to Improve Students’ Mathematical Problem Solving Ability and Metacognition Ability. International Electronic Journal of Mathematics Education, 14(2), pp. 331-340. https://doi.org/10.29333/iejme/5717

MLA

Siagian, Meryance V. et al. "Development of Learning Materials Oriented on Problem-Based Learning Model to Improve Students’ Mathematical Problem Solving Ability and Metacognition Ability". International Electronic Journal of Mathematics Education, vol. 14, no. 2, 2019, pp. 331-340. https://doi.org/10.29333/iejme/5717