International Electronic Journal of Mathematics Education

Improving Students’ Mathematical Problem Solving Ability and Self-Efficacy through Guided Discovery Learning in Local Culture Context
AMA 10th edition
In-text citation: (1), (2), (3), etc.
Reference: Simamora RE, Saragih S, Siregar H. Improving Students’ Mathematical Problem Solving Ability and Self-Efficacy through Guided Discovery Learning in Local Culture Context. Int Elect J Math Ed. 2019;14(1), 61-72. https://doi.org/10.12973/iejme/3966
APA 6th edition
In-text citation: (Simamora et al., 2019)
Reference: Simamora, R. E., Saragih, S., & Siregar, H. (2019). Improving Students’ Mathematical Problem Solving Ability and Self-Efficacy through Guided Discovery Learning in Local Culture Context. International Electronic Journal of Mathematics Education, 14(1), 61-72. https://doi.org/10.12973/iejme/3966
Chicago
In-text citation: (Simamora et al., 2019)
Reference: Simamora, Rustam E., Sahat Saragih, and Hasratuddin Siregar. "Improving Students’ Mathematical Problem Solving Ability and Self-Efficacy through Guided Discovery Learning in Local Culture Context". International Electronic Journal of Mathematics Education 2019 14 no. 1 (2019): 61-72. https://doi.org/10.12973/iejme/3966
Harvard
In-text citation: (Simamora et al., 2019)
Reference: Simamora, R. E., Saragih, S., and Siregar, H. (2019). Improving Students’ Mathematical Problem Solving Ability and Self-Efficacy through Guided Discovery Learning in Local Culture Context. International Electronic Journal of Mathematics Education, 14(1), pp. 61-72. https://doi.org/10.12973/iejme/3966
MLA
In-text citation: (Simamora et al., 2019)
Reference: Simamora, Rustam E. et al. "Improving Students’ Mathematical Problem Solving Ability and Self-Efficacy through Guided Discovery Learning in Local Culture Context". International Electronic Journal of Mathematics Education, vol. 14, no. 1, 2019, pp. 61-72. https://doi.org/10.12973/iejme/3966
Vancouver
In-text citation: (1), (2), (3), etc.
Reference: Simamora RE, Saragih S, Siregar H. Improving Students’ Mathematical Problem Solving Ability and Self-Efficacy through Guided Discovery Learning in Local Culture Context. Int Elect J Math Ed. 2019;14(1):61-72. https://doi.org/10.12973/iejme/3966

Abstract

Qualified learning materials is needed in the efforts to improve the quality of teaching-learning mathematics. Qualified learning materials can be obtained through development research. Learning materials in this study were learning materials that were developed based on guided discovery learning model. The learning materials was also developed by integrating local culture into a guided learning model. The local culture in this study was adapted to the local culture of the students, namely the Batak Toba. Learning materials in this study were developed using the development model of Thiagarajan et al. (1974). The result of second trial showed that learning materials based guided discovery learning with Batak Toba context improved students’ mathematical problem solving ability and self-efficacy significantly. Based on the results of the study, it was suggested that mathematics teachers make an effort qualified learning materials and integrate local culture in mathematics learning.

References

  • Alfieri, L. Brooks, P. J., Aldrich, N. J., & Tenenbaum, H. R. (2011). Does Discovery-Based Instruction Enhance Learning?. Journal of Educational Psychology; American Psychological Association, 103(1), 1–18. https://doi.org/10.1037/a0021017.supp
  • Ayotola, A., & Adedeji. (2009). The relationship between mathematics self-efficacy and achievement in mathematics. World Conference Education Science; Procedia Social and Behavioral Sciences, 1(2009), 953–957. https://doi.org/10.1016/j.sbspro.2009.01.169
  • Azwar Surya, E., & Saragih, S. (2017). Development of Learning Devices Based on Contextual Teaching and Learning Model Based on the Context of Aceh Cultural to Improve Mathematical Representation and Self-efficacy Ability of SMAN 1 Peureulak Students. Journal of Education and Practice, 8(27), 186–195.
  • Bahar, A., & Maker, C. J. (2015). Cognitive Backgrounds of Problem Solving: A Comparison of Open-ended vs. Closed Mathematics Problems. Eurasia Journal of Mathematics, Science & Technology Education, 11(6), 1531–1546.
  • Balamurugan. (2015). Ethnomathematics; An Approach for Learning Mathematics from Multicultural Perspectives. International Journal of Modern Research and Reviews, 3(6). 716–720.
  • Balım, A. G. (2009). The Effects of Discovery Learning on Students’ Success and Inquiry Learning Skills. Eurasian Journal of Educational Research, 35, 1–20.
  • Bandura, A. (1994). Self-efficacy. In V. S. Ramachaudran (Ed.), Encyclopedia of humanbehavior (4, 71–81). New York: Academic Press. (Reprinted in H. Friedman (Ed.), Encyclopedia of mental health. San Diego: Academic Press, 1998)
  • Bandura, A. (1999). A Social Cognitive Theory of Personality. In L. Pervin & O. John (Ed.), Handbook of personality (2nd ed., pp. 154-196). New York: Guilford Publications.
  • Bell, F. H. (1981). Teaching and Learning Mathematics (in Secondary School). Lowa: Wm, C. Brown Company.
  • Bonne, L., & Lawes, E. (2016). Assessing Students’ Maths Self-Efficacy and Achievement. Assessment News, 2, 60–63. https://doi.org/10.18296/set.0048
  • Bruner, J. S. (1961). The Act of Discovery. Harvard Educational Review, 3(1), 21–32.
  • d’Ambrosio, U. (2006a). Ethnomathematics Link between Traditions and Modernity. Rotterdam, Netherlands: Sense Publisher.
  • d’Ambrosio, U. (2006b). The Program Ethnomathematics and the Challenges of Globalization. Circumscribere; International Journal for the History of Science, 1, 74–82.
  • d’Entremont, Y. (2015). Linking mathematics, Culture and Community. Procedia - Social and Behavioral Sciences, 174(2015), 2818–2824. https://doi.org/10.1016/j.sbspro.2015.01.973
  • Dewey, J. (1938). Experience & Education. New York, NY: Kappa Delta Pi.
  • Ernest, P. (1991). The Philosophy of Mathematics Education. London: Routledge Falmer.
  • Evans, S., & Swan, M. (2014). Developing Students’ Strategies for Problem Solving. Educational Designer, 2(7), 1–31.
  • Foshay, R., & Kirkley, J. (2003). Principles for Teaching Problem Solving. ---- : Plato Learning.
  • Haenen, J., Schrijnemakers, H., & Stufkens, J. (2003). Sociocultural Theory and the Practise of Teaching Historical Concepts. Kozulin, A., Gindis, B., Ageyev, V. S. dan Miller, S. M. (Eds). Vygotsky’s Educational Theory in Cultural Context. New York: Cambridge University Press. https://doi.org/10.1017/CBO9780511840975.014
  • Herdiana, Y., Wahyudin, & Sispiyati, R. (2017). Effectiveness of Discovery Learning Model on Mathematical Problem Solving. AIP Conference Proceedings 1868, 050028(2017), 2–8. https://doi.org/10.1063/1.4995155
  • In’am, A., & Hajar, S. (2017). Learning Geometry through Discovery Learning Using a Scientific Approach. International Journal of Instruction,10(1), 55–70. https://doi.org/10.12973/iji.2017.1014a
  • Kaiser, G. (2002). Educational Philosophies and Their Influence on Mathematics Education – An Ethnographic Study in English and German Mathematics Classrooms. ZDM, 34(6), 241–257.
  • Kementerian Pendidikan dan Kebudayaan. (2014). Materi Pelatihan Guru Implementasi Kurikulum 2013 Tahun 2014; Mata Pelajaran Matematika SMA/SMK. ___ : Badan Pengembangan Sumber Daya Manusia Pendidikan dan Kebudayaan dan Penjaminan Mutu Pendidikan – Kementerian Pendidikan dan Kebudayaan.
  • Kuzle, A. (2013). Patterns of Metacognitive Behavior During Mathematics Problem-Solving in a Dynamic Geometry Environment. International Electronic Journal of Mathematics Education – IΣJMΣ, 8(1), 20–40.
  • Learning Theories. (2017). Discovery Learning (Bruner) in Learning Theories. https://www.learning-theories.com/discovery-learning-bruner.html
  • Liu, X., & Koirala, H. (2009). The Effect of Mathematics Self-Efficacy on Mathematics Achievement of High School Students. NERA Conference Proceedings 2009, 30. http://digitalcommons.uconn.edu/nera_2009/30
  • Miettinen, R. (2000). The Concept of Experiential Learning and John Dewey’s Theory of Reflective Thought and Action. International Journal of Lifelong Education, 19(1), 54–72. https://doi.org/10.1080/026013700293458
  • Motlagh, S. E., Amrai, K., Yazdani, M. J., Abderahim, H. A. & Souri, H. (2011). The Relationship Between Self-efficacy and Academic achievement inhigh school students. Procedia Social and Behavioral Sciences, 15, 765–768. https://doi.org/10.1016/j.sbspro.2011.03.180
  • Nasution, T. K., & Sinaga, B. (2017). Development of Student Worksheet Geometry Based Metacognitive Strategy Through Creative Thinking Ability. IOSR Journal of Research & Method in Education (IOSR-JRME), 7(4), 10–18. https://doi.org/10.9790/7388-0704041018
  • NCTM. (2000). Principles and Standards for School Mathematics. Reston, VA: National Council of Teachers of Mathematics (NCTM).
  • NCTM. (2000). Principles and Standards for school mathematics. Reston, VA: National Council of Teachers of Mathematics.
  • Nesari, A. J., & Heidari, M. (2014). The Important Role of Lesson Plan on Educational Achievement of Iranian EFL Teachers’ Attitudes. International Journal of Foreign Language Teaching & Research, 3(5), 25–31.
  • Nidya, Wulandari, F. & Jailani. (2015). Indonesian Students’ Mathematics Problem Solving Skill in PISA And TIMSS. Proceeding of International Conference on Research, Implementation and Education of Mathematics and Sciences 2015 (ICRIEMS 2015), Yogyakarta State University, 17-19 May 2015.
  • Nieveen, N., & Folmer, E. (2013). Formative Evaluation in Educational Design Research. Dalam Plomp, T. & Nieveen, N. 2013. Educational Design Research. Netherland: SLO.
  • 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), 32–39. https://doi.org/10.5430/wje.v6n1p32
  • Palhares, P. (2012). Mathematics Education and Ethnomathematics. A Connection in Need of Reinforcement. REDIMAT Journal of Research in Mathematics Education, 1(1), 79–92.
  • Phonapichat, P., Wongwanich, S. & Sujiva, S. (2014). An Analysis of Elementary School Students’ Difficulties in Mathematical Problem Solving. Procedia - Social and Behavioral Sciences, 116(2014), 3169–317. https://doi.org/10.1016/j.sbspro.2014.01.728
  • Pintér, K. (2012). On Teaching Mathematical Problem-Solving and Problem Posing. PhD Thesis, University of Szeged, Szeged.
  • Polya, G. (1973). How to Solve It (2nd ed). Princeton: Princeton University Press.
  • Ritonga, E. M., Surya, E., & Syahputra, E. (2017). Development of Learning Devices Oriented Model Eliciting Activities to Improve Mathematical Problem Solving Ability Junior High School Students. International Journal of Sciences: Basic and Applied Research (IJSBAR), 33(3), 42–52.
  • Rosa, M., & Orey, D. C. (2016). State of the Art in Ethnomathematics. Rosa (Eds.). Current and Future Perspectives of Ethnomathematics as a Program, ICME-13 Topical Surveys, 11–37. https://doi.org/10.1007/978-3-319-30120-4_3
  • Saragih, S., & Napitupulu, E. (2015). Developing Student-Centered Learning Model to Improve High Order Mathematical Thinking Ability. International Education Studies, 8(6), 104–112. https://doi.org/10.5539/ies.v8n6p104
  • Saragih, S., Napitupulu, E. E., & Fauzi, A. (2017). Developing Learning Model Based on Local Culture and Instrument for Mathematical Higher Order Thinking Ability. International Education Studies, 10(6), 104–122. https://doi.org/10.5539/ies.v10n6p114
  • Scherer, R., & Beckmann, J. F. (2014). The Acquisition of Problem Solving Competence: Evidence from 41 Countries that Math and Science Education Matters. Large-scale Assessments in Education, 2(10), 1–22. https://doi.org/10.1186/s40536-014-0010-7
  • Schoenfeld, A. H. (1987). Polya, Problem Solving, and Education. Mathematics Magazine, 60(5), 283–291.
  • Schoenfeld, A. H. (2010). Reflections of an Accidental Theorist. https://www.researchgate.net/publication/289712738
  • Schoenfeld, A. H. (2013). Reflections on Problem Solving Theory and Practice. The Mathematics Enthusiast, 10(1,2), 9–32.
  • Schoenfeld. A. H. (1980). Teaching Problem-Solving Skills. The American Mathematical Monthly, 87(10), 794–805. https://doi.org/10.2307/2320787
  • Schunk, D. H., & Pajares, F. (2001). The Development of Academic Self-Efficacy. Bab pada A. Wigfield & J. Eccles (Eds.) Development of Achievement motivation. San Diego: Academic Press. San Diego: Academic Press.
  • Shieh, C. J., & Yu, L. A. (2016). Study on Information Technology Integrated Guided Discovery Instruction toward Students Learning Achievement and Learning Retention. Eurasia Journal of Mathematics, Science & Technology Education, 12(4), 833-842. https://doi.org/10.12973/eurasia.2015.1554a
  • Simamora, R. E., Sidabutar, D. R., & Surya, E. (2017). Improving Learning Activity and Students’ Problem Solving Skill through Problem Based Learning (PBL) In Junior High School. International Journal of Sciences: Basic and Applied Research (IJSBAR), 33(2), 321–331.
  • Simamora, S. J., Simamora, R. E., & Sinaga, B. (2017). Application of Problem Based Learning to Increase Students’ Problem Solving Ability on Geometry in Class X SMA Negeri 1 Pagaran. International Journal of Sciences: Basic and Applied Research (IJSBAR), 36(2), 234–251.
  • Skaalvik, E. M., Federici, R. A., & Klassen, R. M. (2015). Mathematics Achievement and Self-efficacy: Relations with Motivation for Mathematics. International Journal of Educational Research,72, 129–136. https://doi.org/10.1016/j.ijer.2015.06.008
  • Sugiyono. (2017). Metode Penelitian Kuantitatif, Kualitatif dan R & D. Bandung: Alfabeta
  • Szetela, W., & Nicol, C. (1992). Evaluating Problem Solving in Mathematics. Educational Leadership, 5, 42–45.
  • Taylor, L. (1993). Vygotskyan Scientific concepts: Implications for Mathematics Education. Focus on Learning Problems in Mathematics, 15, 2–3.
  • Thiagarajan, S., Semmel, D. S., & Semmel, M. I. (1974). Instructional Development for Training Teachers of Exceptional Children. A Sourcebook Indiana: Indiana University
  • Trianto. (2013). Model Pembelajaran Terpadu dalam Teori dan Praktek . Jakarta: Prestasi Pustaka.
  • Vygotsky, L. S. (1978). Mind in Society: The Development of the Higher Psychological Processes. Cambridge, MA: The Harvard University Press.
  • Wheeler, D. D. (1970). Processes in Word Recognition. Cognitive Psychology, 1(1), 59–85. https://doi.org/10.1016/0010-0285(70)90005-8
  • Yang, E. F. Y., Liao, C. C. Y., Ching, E., Chang, T., & Chan, T. W. (2010). The Effectiveness of Inductive Discovery Learning in 1: 1 Mathematics Classroom. Proceedings of the 18th International Conference on Computers in Education. Putrajaya, Malaysia: Asia-Pacific Society for Computers in Education, 743–747.
  • Yerizon, Putra, A. A., & Subhan, M. (2018). Mathematics Learning Instructional Development based on Discovery Learning for Students with Intrapersonal and Interpersonal Intelligence (Preliminary Research Stage). International Electronic Journal of Mathematics Education, 13(3), 97-101. https://doi.org/10.12973/iejme/2701
  • Ylimaki, R. (2010). Towards a Neo-Vygotskian Approach to 21st Century Learning.
  • Yuliani, K., & Saragih, S. (2015). The Development of Learning Devices Based Guided Discovery Model to Improve Understanding Concept and Critical Thinking Mathematically Ability of Students at Islamic Junior High School of Medan. Journal of Education and Practice, 6(24), 116-128.
  • Yusra, D. A., & Saragih, S. (2016). The Profile of Communication Mathematics and Students’ Motivation by Joyful Learning-based Learning Context Malay Culture. British Journal of Education, Society & Behavioural Science, 15(4), 1–16. https://doi.org/10.9734/BJESBS/2016/25521
  • Zimmerman, B. J. (2000). Self-Efficacy: An Essential Motive to Learn. Contemporary Educational Psychology, 25, 82–91. https://doi.org/10.1006/ceps.1999.1016

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