Cognitive demands on geometrical tasks in Indonesian elementary school mathematics textbook

Authors

  • Yoppy Wahyu Purnomo Department of Elementary Education, Universitas Negeri Yogyakarta, DI Yogyakarta
  • Masitah Shahrill Sultan Hassanal Bolkiah Institute of Education (SHBIE), Universiti Brunei Darussalam
  • Olivia Pandansari Department of Elementary Education, Universitas Negeri Yogyakarta, DI Yogyakarta
  • Rika Susanti Department of Elementary Education, Universitas Negeri Yogyakarta, DI Yogyakarta
  • Winarni Winarni Department of Elementary Education, Universitas Negeri Yogyakarta, DI Yogyakarta

DOI:

https://doi.org/10.29408/jel.v8i2.5235

Keywords:

Bloom taxonomy, elementary school, geometrical task, mathematics textbook, textbook research

Abstract

Examples and exercises in mathematics textbooks have an essential role in directing teaching and learning to achieve the objectives of the mathematics curriculum. This study examines mathematical tasks, i.e., examples and exercises, for a grade 4 elementary school mathematics textbook published by the Indonesian Government in 2018. We focus on geometry tasks and categorize them based on the dimensions of cognitive processes and knowledge of the revised Bloom’s taxonomy. Textbook research is used to achieve the objectives of this study. The validity of the data was carried out by employing peer debriefing. The findings of this study indicate that only about 30% of the geometry tasks in this mathematics textbook require high-level mathematical thinking skills. This study also shows that procedural knowledge is more dominant and becomes an orientation in presenting geometry tasks. This finding becomes less relevant to the orientation of researchers and policymakers who want the direction of mathematics education to be forming students as problem solvers.

References

Aldahmash, A. H., Mansour, N. S., Alshamrani, S. M., & Almohi, S. (2016). An analysis of activities in saudi arabian middle school science textbooks and workbooks for the inclusion of essential features of inquiry. Research in Science Education, 46(6), 879–900. https://doi.org/10.1007/s11165-015-9485-7

Anderson, L. W. & Krathwohl, D. R. (2001). A taxonomy for learning, teaching, and assessing: A revision of Bloom’s taxonomy of educational objectives. Longman.

Annizar, A. M., Maulyda, M. A., Khairunnisa, G. F., & Hijriani, L. (2020). Kemampuan pemecahan masalah matematis siswa dalam menyelesaikan soal PISA pada topik geometri [Students' mathematical problem solving ability in PISA geometry topics]. Jurnal Elemen, 6(1), 39–55. https://doi.org/10.29408/jel.v6i1.1688

Bingolbali, E. (2020). An analysis of questions with multiple solution methods and multiple outcomes in mathematics textbooks. International Journal of Mathematical Education in Science and Technology, 51(5), 669–687. https://doi.org/10.1080/0020739X.2019.1606949

Chang, C. C. & Silalahi, S. M. (2017). A review and content analysis of mathematics textbooks in educational research. Problems of Education in the 21st Century, 75(3), 235–251. https://doi.org/10.33225/pec/17.75.235

Charalambous, C. Y., Delaney, S., Hsu, H. Y., & Mesa, V. (2010). A comparative analysis of the addition and subtraction of fractions in textbooks from three Countries. Mathematical Thinking and Learning, 12(2), 117–151. https://doi.org/10.1080/10986060903460070

Fan, L. (2013). Textbook research as scientific research: towards a common ground on issues and methods of research on mathematics textbooks. ZDM, 45(5), 765–777. https://doi.org/10.1007/s11858-013-0530-6

Fan, L., Zhu, Y., & Miao, Z. (2013). Textbook research in mathematics education: development status and directions. ZDM, 45(5), 633–646. https://doi.org/10.1007/s11858-013-0539-x

Fowler, L. D. (2015). Comparison of linear functions in middle grades textbooks from Singapore and the United States.

Gracin, D. G. (2018). Requirements in mathematics textbooks: a five-dimensional analysis of textbook exercises and examples. International Journal of Mathematical Education in Science and Technology, 49(7), 1003–1024. https://doi.org/10.1080/0020739X.2018.1431849

Hong, D. S. & Choi, K. M. (2014). A comparison of Korean and American secondary school textbooks: The case of quadratic equations. Educational Studies in Mathematics, 85(2), 241–263. https://doi.org/10.1007/s10649-013-9512-4

Johar, R., Yusniarti, S., & Saminan, S. (2017). The analysis of proportional reasoning problem in the indonesian mathematics textbook for junior high school. Journal on Mathematics Education, 9(1), 55–68. https://doi.org/10.22342/jme.9.1.4145.55-68

Kar, T., Güler, G., Şen, C., & Özdemir, E. (2018). Comparing the development of the multiplication of fractions in Turkish and American textbooks. International Journal of Mathematical Education in Science and Technology, 49(2), 200–226. https://doi.org/10.1080/0020739X.2017.1355993

Kaur, A., Nur, A. H. B., Purnomo, Y. W., Yusof, M. Z. M., & Suswandari. (2020). Educational researchers in Malaysia-who they conduct their research for? Pertanika Journal of Social Science and Humanities, 28(2), 1083–1104.

Kilpatrick, J., Swafford, J., & Findell, B. (2001). The strands of mathematical proficiency. In J. Kilpatrick, J. Swafford, & B. Findell (Eds.), Adding it up: Helping children learn mathematics (pp. 115–118). National Academy Press.

Kul, Ü., Sevimli, E., & Aksu, Z. (2018). A comparison of mathematics questions in Turkish and Canadian school textbooks in terms of synthesized taxonomy. Turkish Journal of Education, 7(3), 136–155. https://doi.org/10.19128/turje.395162

Leedy, P. D., & Ormrod, J. E. (2015). Practical research: Planning and design (11th ed.). Pearson.

Muslich, M. (2010). Text book writing: Dasar-dasar Pemahaman, penulisan dan pemakaian Buku Teks [Text book writing: basics of comprehension, writing and usage]. Ar-Ruzz Media.

OECD. (2010). Learning mathematics for life: A view perspective from PISA. OECD Publishing. https://doi.org/10.1787/9789264075009-en

Pramudiani, P., Oktafiani, A. F., Aziz, T. A., & Purnomo, Y. W. (2017). Enhancing conceptual knowledge about shape through realistic mathematics education. Jurnal Inovasi Pendidikan Dasar, 3(1), 31–38.

Purnomo, Y. W., Arlini, R., Nuriadin, I., & Aziz, T. A. (2021). Learning trajectory based on fractional sub-constructs: Using fractions as quotients to introduce fractions. Mathematics Teaching-Research Journal, 13(3), 183–207.

Purnomo, Y. W., Kowiyah, K., Alyani, F., & Assiti, S. S. (2014). Assessing number sense performance of indonesian elementary school students. International Education Studies, 7(8), 74–84. https://doi.org/10.5539/ies.v7n8p74

Purnomo, Y. W., Mastura, F. S., & Perbowo, K. S. (2019). Contextual features of geometrical problems in indonesian mathematics textbooks. Journal of Physics: Conference Series, 1315(1), 012048. https://doi.org/10.1088/1742-6596/1315/1/012048

Purnomo, Y. W., Suryadi, D., & Darwis, S. (2016). Examining pre-service elementary school teacher beliefs and instructional practices in mathematics class. International Electronic Journal of Elementary Education, 8(4), 629–642. https://www.iejee.com/index.php/IEJEE/article/view/137

Purnomo, Y. W., Widowati, C., & Ulfah, S. (2019). Incomprehension of the Indonesian elementary school students on fraction division problem. Infinity Journal, 8(1), 57-74. https://doi.org/10.22460/infinity.v8i1.p57-74

Rahmawati, T., Pangesti, S. R., Nuriadin, I., Kurniasih, M. D., & Purnomo, Y. W. (2020). How do Indonesian elementary school mathematics textbooks introduce fractions? Journal of Physics: Conference Series, 1581(1), 012024. https://doi.org/10.1088/1742-6596/1581/1/012024

Ramadhani, R. (2020). Desain pembelajaran matematika berbasis tik: konsep dan penerapan [ICT-based mathematics learning design: concept and application]. Yayasan Kita Menulis.

Siregar, E. M. R. S. (2015). A comparative study of international mathematics curriculum materials and standards: Indonesia, Singapore, and the US common core state standards.

Stein, M., Smith, M., Henningsen, M., & Silver, E. (2000). Implementing standards-based mathematics instruction: A casebook for professional development (1st ed.). Teacher College.

Sugiatno, S. & Husna, N. (2020). Isu-Isu kosakata matematis dalam pembelajaran matematika [Mathematical vocabulary issues in mathematics learning]. Jurnal Kependidikan: Jurnal Hasil Penelitian dan Kajian Kepustakaan di Bidang Pendidikan, Pengajaran dan Pembelajaran, 6(1), 58–66. https://doi.org/10.33394/jk.v6i1.2281

Trouche, L. & Fan, L. (2018). Mathematics textbooks and teachers’ resources: A broad area of research in mathematics education to be developed. In L. Fan, L. Trouche, C. Qi, S. Rezat, & J. Visnovska (Eds.), Research on mathematics textbooks and teachers’ resources: advances and issues (pp. xiii–xxiii). Springer International Publishing.

Wijaya, A., van den Heuvel-Panhuizen, M., & Doorman, M. (2015). Opportunity-to-learn context-based tasks provided by mathematics textbooks. Educational Studies in Mathematics, 89(1), 41–65. https://doi.org/10.1007/s10649-015-9595-1

Wijaya, A., Van den Heuvel-Panhuizen, M., Doorman, M., & Veldhuis, M. (2018). Opportunity-to-learn to solve context-based mathematics tasks and students’ performance in solving these tasks – Lessons from Indonesia. EURASIA Journal of Mathematics, Science and Technology Education, 14(10). https://doi.org/10.29333/ejmste/93420

Yang, D., & Sianturi, I. A. J. (2017). An analysis of singaporean versus indonesian textbooks based on trigonometry content. Eurasia Journal of Mathematics, Science and Technology Education, 13(7), 3829–3848. https://doi.org/10.12973/eurasia.2017.00760a

Yang, D. & Sianturi, I. A. J. (2022). Analysis of algebraic problems intended for elementary graders in Finland, Indonesia, Malaysia, Singapore, and Taiwan. Educational Studies, 48(1), 75–97. https://doi.org/10.1080/03055698.2020.1740977

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Published

01-07-2022

How to Cite

Purnomo, Y. W., Shahrill, M., Pandansari, O., Susanti, R., & Winarni, W. (2022). Cognitive demands on geometrical tasks in Indonesian elementary school mathematics textbook. Jurnal Elemen, 8(2), 466–479. https://doi.org/10.29408/jel.v8i2.5235

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