Rahmah Johar, Sri Yusniarti, Saminan Saminan


The lack of Indonesian students achievement in the international assessment is due to several factors. Students are not familiar with the problems requiring reasoning, in particular the proportional reasoning. This research aims to identify the distribution and the Level of Cognitive Demands (LCD) of the proportional reasoning problems found in the Year 7 and Year 8 mathematics textbooks based on the 2013 curriculum (revised edition 2014). The data collection was conducted by identifying the proportional reasoning problems found in the whole chapters of the textbooks which are then analysed and classified using the Smiths and Stein’s criteria of LCD (1998). The results reveal that the proportional reasoning problems were only found in the three of 17 chapters namely ratio and proportion, rectangle and triangle, and Pythagorean Theorem, which represent different LCD including Lower-LCD (Low-M and Low-P) and Higher-LCD (High-P). Out of 69 proportional reasoning problem found in the textbooks, the percentage of higher-LCD problems (n=29 ; 42.03%) is less than lower-LCD (n=40;57.97%). In addition, the higher-LCD problems found were only the high-P type. None was found to meet the requirement of High-DM demanding students to conduct ‘doing mathematics’, complex approach and self-monitoring or self regulation of students’ cognitive process. It is recommended that the proportional reasoning problems, including some High-DM problems, should be provided in each topic in Indonesian mathematics textbooks.



Text Book, Proportional Reasoning Problems, The 2013 Curriculum, Level of Cognitive Demands

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Alajmi, A. H. (2012). How do elementary textbooks address fractions? A review of mathematics textbooks in the USA, Japan, and Kuwait. Edu Stud Math, 79, 239-261.

Allain, A. (2000). Development of An Instrumen to Measure Proportional Reasoning Among Fast-Track Middle School Student. http:/

As’ari. A.R, Tohir. M, Valentini. E, Imron. Z, Taufiq. I, Bornok. S, . . . Deniyanti. P. (2014a). Matematika SMP/MTs Kelas VII Semester 1 Edisi Revisi 2014 (Mathematics SMP/MTs year VII semester 1, 2014 revised edition). Jakarta: Balitbang, Kemdikbud.

As’ari. A. R, Tohir. M, Valentino. E, Imron. Z, Taufiq. I, Bornok. S, . . . Deniyanti. P. (2014b). Matematika SMP/MTs Kelas VII Semester 2 Edisi Revisi 2014. Jakarta: Balitbang, Kemdikbud.

As’ari. A. R, Tohir. M, Valentino. E, Imron. Z, Taufiq. I, Hariarti. N.S, Lukmana. A. L.(2014c). Matematika SMP/MTs Kelas VIII Semester 1 Edisi Revisi 2014 (Mathematics SMP/MTs year VIII semester 1, 2014 revised edition). Jakarta: Balitbang, Kemdikbud.

As’ari. A. R, Tohir. M, Valentino. E, Imron. Z, Taufiq. I, Hariarti. N.S, Lukmana. A. L.(2014d). Matematika SMP/MTs Kelas VIII Semester 2 Edisi Revisi 2014 (Mathematics SMP/MTs year VIII semester 2, 2014 revised edition). Jakarta: Balitbang, Kemdikbud.

Bayazit, I. (2013). Quality of the tasks in the new Turkish elementary mathematics textbook: the case of proportional reasoning. International Journal of Science and Mathematics Education, 11, 651-682.

Boesen. J, Lither. J & Palm. T. (2010). The relation between types of assesment task and the mathematical reasoning student use. Educ Stud Math,75(1), 89-105.

Cramer, K & Post, T. (1993). Proportional Reasoning. Mathematics Teacher, 86(5), 404-407.

Freeman. D.J & Porter. A.C. (1989) Do textbooks dictate the content of mathematics instruction in elementary schools?. American Educational research Journal. SAGE Journals.

Jones, L. R., Wheeler, G. & Centurino, V.A.S (2015). TIMSS 2015 Science Framework.dalam Mullis, I.V.S, & Martin,M.O (Eds), TIMSS 2015 Assessment Frameworks (pp.29-58).Chestnut Hill, MA:TIMSS & PIRLS International Study Center, Boston College.

Kemdikbud (2014). Konsep dan Implementasi Kurikulum 2013. Diakses dari

Kolouvou, A, Van den Hauzel-Panhuizen, & Bakker, A.(2009). Non-routine problem solving tasks in primary school mathematics textbooks-a needle in a haystack. Mediterania Journal for Research in Mathematics Education, 8(2), 31-68.

Lamon, S. J. (2008). Teaching fractions and ratios for understanding: Essential content knowledge and instructional strategies for teachers (2nd edition). London: Lawrence Erlbaum Associates, Inc.

NCTM. (2000). Principles and Standards for School Mathematics. United States of America: NCTM.

Marie, L. (2016). Research finding’s impact on the representation of proportional reasoning in Swedish mathematics textbooks. Journal of Research in Mathematics Education (REDIMAT), 5(2), 180-204.

Miles, M & Huberman, M. (2014). Analisis Data Kualitatif (Qualitative data analsys). Translated by oleh Tjetjep Rohendi Rohidi. Jakarta: UI-Press.

Mullis, I. V. S., Martin, M. O., Foy, P., and Arora, A. (2012) TIMSS 2011 International Results in Science.USA: TIMSS & PIRLS International Study Center Lynch.

Post, T., Behr, M., & Lesh, R. (1988). Proportionality and the development of pre-algebra understanding. In A. Coxford (Ed.), Algebraic concepts in the curriculum K-12. 1988 Yearbook (pp. 78-90). Reston, VA: NCTM

OECD (2015). Result From PISA 2015. OECD Publishing in

Shield, M.J and Dole, S (2002). Investigating textbook presentations of ratio and proportion. Proceedings of the Twenty-fifth Annual Conference of the Mathematics Education Research Group of Australasia (608-616).MERGA 25, Auckland, N.Z.

Shield, M.J and Dole, S. (2013). Assesing the potential of mathematics textbooks to promote deep learning. Educational Studies in Mathematics, 82(2), 183-199.

Stein, M.K & Smith M.S. (1998). Selecting and creating mathematical tasks: from research to practice. Mathematics Teaching in The Middel School, 3(5), 344-350.

Tourniaire. F. & Pulos, S. (1985). Proportional reasoning: A review of the literature. Educational Studies in Mathematics, 16(2), 181-204.

Tornroos, J. (2005). Mathematics textbooks, opportunity to learn and student achievement. Studies in Educational Evaluation, 31(4), 315 – 327.

Van de Walle, J.A. (2008). Pengembangan Pengajaran Matematika Sekolah Dasar dan Menengah edisi ke-6 jilid 2 (developing primary and high school teaching of mathematics, 6th edition, 2nd volume. Translated by Dr. Suyono, M.Si. Jakarta: Erlangga.

Vicent.J, & Stacey, K. (2008). Do mathematics textbooks cultivate shallow teaching? Applying the TIMSS video study criteria to Austalian eight-grade mathematics textbooks. Mathematics Education Research Journal, 20(1), 82-107.

Wijaya. A, Van den Heuvel-Panhuizen, M & Doorman, M. (2015) . Opportunity to learn context based tasks provided by mathematics textbooks. Educ Stud Math, 89, 41-65.

Xin, Y.P. (2007). Word problem solving tasks in textbooks and their relation to student performance. Journal of Education Research, 100(6), 347-359.



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