The Differences of Improving Communication Ability and Mathematical Concepts Understanding between Students that Given Problem Based Learning and Discovery Learning at SMP Swasta Al-Hikmah Medan

Authors

  • Oktavia Dwi Rennita State University of Medan

DOI:

https://doi.org/10.14738/assrj.510.5467

Abstract

Abstract

This study aims to analyze (1) The Differences of Improving Communication Ability and Mathematical Concepts Understanding between Students that Given Problem Based Learning and Discovery Learning, (2) There is an interaction between the learning model with the students’ initial ability of mathematics (KAM) towards improving students’ communication ability and mathematical concepts understanding. The type of this research was quasi-experimental. This study was conducted at SMP Swasta Al-Hikmah. The population in this study was all students of class VIII by taking a sample of two classes. The instrument used consists of students' mathematical communication test and understanding concepts. The instruments fulfilled the requirements of content validity and high reliability, i.e. 0.789 and 0.793 respectively for mathematical communication and concepts understanding ability. Data were analyzed by the Two Way Anova test. Before using the Two Way Anova  test, homogeneity and normality were tested first in this study with a significant level of 5%. Based on the results of the analysis, the results of the study were: (1) there was the difference of improving communication ability and mathematical concepts understanding between students that given problem-based learning and discovery learning, (2) there is interaction between the learning model with the students’ initial ability of mathematics towards improving students’ communication ability and mathematical concepts understanding.

 

Keywords: mathematical communication ability, understanding of mathematical concepts, problem based learning model, discovery learning model and students’ initial ability of mathematics

References

Arends, R. 2008. Learning to Teach. Yogyakarta: Pustaka Pelajar

Aunino, P & Niemivirta, M. 2010. Predicting Children’s Mathematical Performances In Grade One By Early Numeracy. USA: Department of Psychological and Brain Sciences, Johns Hopkins University, (Online). Learning and Individual Differences. Journal Homepage: (www.elsevier.com/locate/lindif, 15 september 2017).

Baroody, A.J. 1993. Problem Solving, Reasoning and Communicating, K-8. Helping Children think Mathematically. New York: Merril, an inprint of Macmillan Publishing, Company

Baroody, A. J., & Ginsburg, H. P. (1990). Children’s mathematical learning: A Cognitive view. In C. Maher & N. Noddings (Eds.), Constructivist views on the teaching and learning of mathematics (pp. 51–64). Reston, VA: National Council of Teachers of Mathematics

Cobb, P., Boufi, A., McClain, K., & Whitenack, J. (1997). Reflective discourse and collective reflection. Journal for Research in Mathematics Education, 28(3), 258–277.

Cooke, B. D., & Buchholz, D. (2005). Mathematical communication in the classroom: A Teacher makes a difference. Early Childhood Education Journal, 32(6), 365–369

Duffin, J.M & Simpson, A.P. 2000. A Searchfor Understanding. Journal of Mathematical Behavior. 18 (4): 415-427

Eviyanti, C.Y., Surya, E., Syahputra, E & Simbolon, M. 2017. Improving the Students’ Mathematical Problem Solving Ability by Applying Problem Based Learning Model in VII Grade at SMPN 1 Banda Aceh Indonesia. International Journal of Novel Research in Education and Learning. Vol.4, Issue 2, pp:138-144). ISSN 2394-9686

Furaiza, A., Syahputra, E & Rajagukguk, W. 2018. Differences in Metacognition and Mathematical Communication Ability Between Students Taught Using Problem Based Learning Model and Numbered Head Together Cooperative Learning Model at SMP Kartika 1-2 Medan. Journal of Education and Practice. Vol.9 No.7. ISSN 222-288X

Hidayat, R & Iksan, Z.H. 2015. The Effect of realistic Mathematics education on students’ Conceptual Understanding of Linear Programming. Scientific Research Publishing. Vol. 6. ISSN 2438-2445

J. Kilpatrick., Swafford, J & Findell, B. 2001. Adding It Up: Helping Children Learn Mathematics. Washington DC: National Academy Press

Lin, C. S., Shann, W. C., & Lin, S. C. (2008). Reflections on mathematical communication from Taiwan math curriculum guideline and PISA 2003. Retrieved from http://www.criced.tsukuba.ac.jp/math/apec/apec2008/papers/PDF/16.Lin_Su_Chun_Taiwan.pdf

Lin, Y. H., & Lee, Q. Y. (2004). 國小學生數學解題溝通能力評量之實證研究 [A Study of ability on mathematical communication for pupils of elementary schools]. Journal of Educational Measurement and Statistics, 12, 233–268.

Madhavi. J., Russel, G & Scott, B. 2008. Conceptual Understanding Is The Over-Arching Understanding Of Mathematical Concepts And Ideas that One Often Refers To As A Good Mathematical sense. [Online]. Tersedia: (http://files.eric.ed.gov/fulltext/ED521882.pdf)

Mahmudi, A. 2009. Komunikasi dalam pembelajaran Matematika. Makalah Termuat pada Jurnal MIPMIPA UNHALU. Vol.8 No.1

Mooney, C., Hansen, A., Ferrie, L., Fox, S., & Wrathmell, R. (2012). Primary mathematics: Knowledge and understanding. Exeter,UK: Learning Matters

NCTM. 1989. Curriculum and Evaluation Standards for School Mathematics. Reston, Virginia: The National Council of Teachers of mathematics.

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

Shimizu, Y., & Lambdin, D. V. (1997). Assessing students’ performance on an extended problem-solving task: A Story from a Japanese classroom. The Mathematics Teacher, 90(8), 658–664.

Silver, E. A., & Smith, M. S. (1996). Building discourse communities in mathematics classrooms: A Worthwhile but challengingjourney. In P. C. Elliott (Ed.), Communication in mathematics, K–12 and beyond: 1996 yearbook (pp. 20–28). Reston, VA: National Council of Teachers of Mathematics.

Surya, E., Syahputra, E & Jumiati, N. 2018. Effect of Problem Based Learning Toward Mathematical Communication Ability and Self-Regulated Learning. Journal of Education and Practice. Vol. 9 No.6. ISSN 222-288X

Steele, D. F., & Arth, A. A. (1998). Math instruction and assessment: Preventing anxiety, promoting confidence. Schools in the Middle, 7(3), 44–48.

T. Eckes, The Developmental Social Psychology of Gender, Lawrence Erlbaum, 2000. [E-book] Available: netLibrary e-book

Takdir, I. 2012. Pembelajaran Discovery Strategy dan Mental Vocational Skill. Yogyakarta: Diva Press

Whitin, P., & Whitin, D. J. (2000). Math is language too: Talking and writing in the mathematics classroom. Reston, VA: National Council of Teachers of Mathematics

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Published

2018-11-05

How to Cite

Rennita, O. D. (2018). The Differences of Improving Communication Ability and Mathematical Concepts Understanding between Students that Given Problem Based Learning and Discovery Learning at SMP Swasta Al-Hikmah Medan. Advances in Social Sciences Research Journal, 5(10). https://doi.org/10.14738/assrj.510.5467