RESEARCH PAPER
Praxeology review: Comparing Singaporean and Indonesian textbooks in introducing the concept of sets
 
More details
Hide details
1
Universitas Pendidikan Indonesia, West Java, INDONESIA
 
 
Publication date: 2023-02-09
 
 
EURASIA J. Math., Sci Tech. Ed 2023;19(2):em2229
 
KEYWORDS
ABSTRACT
Singapore has successfully implemented mathematics textbooks as a widely referenced part of the curriculum. Nevertheless, not all countries can fit into the offered concept. There are gaps and other interesting factors to investigate, especially regarding the comparison with Indonesia. This study aimed to compare the concepts of Singaporean and Indonesian textbooks on a more specific topic, namely the concept of mathematical sets. The comparative study was conducted on two official handbooks of the two countries, which were reviewed in praxeology (T, τ, θ, and Θ). The research data were limited to the topic of the concept of sets in the two books, ignoring other material as part of the depth of the study. Qualitative research with a hermeneutic phenomenology approach was chosen as an alternative method, and this study is a study at the prospective stage of the entire series of Indonesian versions of didactical design research. The data showed a uniqueness, characterizing the textbooks’ quality from each perspective. The similarity and specialization of the textbooks were indicated by the type of task regarding the definition of sets (T1) and the form of the praxis block. There were striking differences in the complexity of task design in influencing the perceptual, memorial, introspective, and a priori. The characteristics of material presentation considered the students’ culture and character in each country, making these textbooks worthy of reference. Although studying math topics was quite tricky, a praxeological study of textbooks from both countries provided a new perspective on how task design played an essential role in making material presentation more acceptable to students.
REFERENCES (68)
1.
Acton, P. (2016). Education for humans. Meanjin, 75(4), 106-114.
 
2.
Alajmi, A. H. (2012). How do elementary textbooks address fractions? A review of mathematics textbooks in the USA, Japan, and Kuwait. Educational Studies in Mathematics, 79(2), 239-261. https://doi.org/10.1007/s10649....
 
3.
Anggraena, Y. (2016). Pedagogik kurikulum matematika SMP 1 [Middle school mathematics curriculum pedagogy 1]. Direktorat Jendral Guru dan Tenaga Kependidikan, Kementrian Pendidikan dan Kebudayaan Indonesia [Directorate General of Teachers and Education Personnel, Ministry of Education and Culture of Indonesia].
 
4.
Artigue, M., & Bosch, M. (2014). Introduction to the anthropological theory of the didactic (ATD). In A. Bikner-Ahsbahs, & S. Prediger (Eds.), Networking of theories as a research practice in mathematics education: Advances in mathematics education (pp. 67-83). Springer. https://doi.org/10.1007/978-3-....
 
5.
As’ari, A. R., Tohir, M., Valentino, E., Imron, Z., & Taufiq, I. (2017). Matematika SMP/MTs kelas VII semester 1 [Mathematics of SMP/MTs class VII semester 1]. Pusat Kurikulum dan Perbukuan, Balitbang, Kemendikbud [Center for Curriculum and Books, Balitbang, Ministry of Education and Culture].
 
6.
Cao, Y., Wu, L., & Dong, L. (2017). Comparing the difficulty level of junior secondary school mathematics textbooks in five nations. In J.-W. Son, T. Watanabe, & J. J. Lo (Eds.), What matters? Research trends in international comparative studies in mathematics education (pp. 63-81). Springer. https://doi.org/10.1007/978-3-....
 
7.
Cimatti, B. (2020). Definition, development, assessment of soft skills and their role for the quality of organizations and enterprises. International Journal for Quality Research, 10(1), 262-274. https://doi.org/10.4324/978131....
 
8.
Creswell, J. W. (2015). Educational research: Planning, conducting, and evaluating quantitative and qualitative research. Pearson.
 
9.
Dollah, M. U., Widjaja, W., Zabit, M. N. M., & Omar, T. Z. Z. (2019). A comparison of values of progress conveyed in mathematics textbook in Malaysia and Australia. International Journal of Asian Social Science, 9(2), 179-188. https://doi.org/10.18488/journ....
 
10.
dos Santos, S. P., & Farias, L. M. S. (2022). The anthropological theory of the didactic in Brazilian researches. Mathematics Enthusiast, 19(2), 501-525. https://doi.org/10.54870/1551-....
 
11.
Erbas, A. K., Alacaci, C., & Bulut, M. (2012). A comparison of mathematics textbooks from Turkey, Singapore, and the United States of America. Educational Sciences: Theory and Practice, 12(3), 2324-2330.
 
12.
Fan, L., Zhu, Y., & Miao, Z. (2013). Textbook research in mathematics education: Development status and directions. ZDM-International Journal on Mathematics Education, 45(5), 633-646. https://doi.org/10.1007/s11858....
 
13.
Fauziyah, M. E., & Hobri, M. F. (2021). Using problem-based learning through blended learning based on JUMPISA problem against students’ mathematical literacy. Turkish Journal of Computer and Mathematics Education, 12(14), 5641-5652.
 
14.
Fischer, L., Hilton, J., Robinson, T. J., & Wiley, D. A. (2015). A multi-institutional study of the impact of open textbook adoption on the learning outcomes of post-secondary students. Journal of Computing in Higher Education, 27(3), 159-172. https://doi.org/10.1007/s12528....
 
15.
Fowler, L. D. (2015). Comparison of linear functions in middle grades textbooks from Singapore and the United States [PhD dissertation, Florida International University]. https://doi.org/10.25148/etd.F....
 
16.
Friesen, N., Henriksson, C., & Saevi, T. (2012). Hermeneutic phenomenology in education: Method and practice. Sense Publisher. https://doi.org/10.1007/978-94....
 
17.
Fuadiah, N. F., Suryadi, D., & Turmudi. (2019). Teaching and learning activities in classroom and their impact on student misunderstanding: A case study on negative integers. International Journal of Instruction, 12(1), 407-424. https://doi.org/10.29333/iji.2....
 
18.
Gayatri, P., Chen, S., & Sit, H. (2022). A review on blended learning for English language teaching in Indonesian higher education BT-digital communication and learning: Changes and challenges. In A. W. B. Tso, A. C. Chan, W. W. L. Chan, P. E. Sidorko, & W. W. K. Ma (Eds.), Digital communication and learning. Educational communications and technology yearbook (pp. 253-277). Springer, Singapore. https://doi.org/10.1007/978-98....
 
19.
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/10.1080/002073....
 
20.
Guez, A., Peyre, H., Le Cam, M., Gauvrit, N., & Ramus, F. (2018). Are high-IQ students more at risk of school failure? Intelligence, 71(October), 32-40. https://doi.org/10.1016/j.inte....
 
21.
Guillen, D. E. F. (2019). Qualitative research: Hermeneutical phenomenological method. Propósitos y Representaciones [Purposes and Representations], 7(1), 201-229. https://doi.org/10.20511/pyr20....
 
22.
Haggarty, L., & Pepin, B. (2002). An investigation of mathematics textbooks and their use in English, French and German classrooms: Who gets an opportunity to learn what? British Educational Research Journal, 28(4), 567-590. https://doi.org/10.1080/014119....
 
23.
Hatch, J. A. (2002). Doing qualitative research in education settings. State University of New York Press.
 
24.
Hendriyanto, A., Kusmayadi, T. A., & Fitriana, L. (2021). Geometric thinking ability for prospective mathematics teachers in solving ethnomathematics problem. IOP Conference Series: Earth and Environmental Science, 1808, 012040. https://doi.org/10.1088/1742-6....
 
25.
Hidayah, M., & Forgasz, H. (2020). A comparison of mathematical tasks types used in Indonesian and Australian textbooks based on geometry contents. Journal on Mathematics Education, 11(3), 385-404. https://doi.org/10.22342/JME.1....
 
26.
Hong, D. S., & Choi, K. M. (2018). A comparative analysis of linear functions in Korean and American standards-based secondary textbooks. International Journal of Mathematical Education in Science and Technology, 49(7), 1025-1051. https://doi.org/10.1080/002073....
 
27.
Huang, Y., Zhou, Y., Wijaya, T. T., Kuang, K., & Zhao, M. (2021). A comparative analysis on algebraic questions in Chinese and Indonesian textbook. Journal of Physics: Conference Series, 2084, 012024. https://doi.org/10.1088/1742-6....
 
28.
Ibrahim, Z. B., & Othman, K. I. (2010). Comparative study of secondary mathematics curriculum between Malaysia and Singapore. Procedia-Social and Behavioral Sciences, 8(5), 351-355. https://doi.org/10.1016/j.sbsp....
 
29.
Kar, T., Guler, G., Sen, C., & Ozdemir, 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/10.1080/002073....
 
30.
Kaur, B. (2019). Evolution of Singapore’s school. In C. P. Vistro-Yu, & T. L. Toh (Eds.), School mathematics curricula, mathematics education-An Asian perspective (pp. 21-37). Springer Singapore. https://doi.org/10.1007/978-98....
 
31.
Kaur, B., Zhu, Y., & Cheang, W. K. (2019). Singapore’s participation in international benchmark studies—TIMSS, PISA and TEDS-M. Springer Singapore. https://doi.org/10.1007/978-98....
 
32.
Kenedi, A. K., Helsa, Y., Ariani, Y., Zainil, M., & Hendri, S. (2019). Mathematical connection of elementary school students to solve mathematical problems. Journal on Mathematics Education, 10(1), 69-79. https://doi.org/10.22342/jme.1....
 
33.
Kristanto, A., Mustaji, Mariono, A., Sulistiowati, & Nuryati, D. W. (2018). Developing media module proposed to editor in editorial division. Journal of Physics: Conference Series, 947, 012054. https://doi.org/10.1088/1742-6....
 
34.
Kul, U., 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....
 
35.
Lewis, B. D., & Nguyen, H. T. M. (2020). Assessing the causal impact of compulsory schooling policy in Indonesia. International Journal of Educational Research, 104(June), 101693. https://doi.org/10.1016/j.ijer....
 
36.
Li, Y. (2000). A comparison of problems that follow selected content presentations in American and Chinese mathematics textbooks. Journal for Research in Mathematics Education, 31(2), 239-241. https://doi.org/10.2307/749754.
 
37.
Lipschutz, S. (1986). Set theory and related topics. McGraw-Hill.
 
38.
Litkowski, E. C., Duncan, R. J., Logan, J. A. R., & Purpura, D. J. (2020). When do preschoolers learn specific mathematics skills? Mapping the development of early numeracy knowledge. Journal of Experimental Child Psychology, 195, 104846. https://doi.org/10.1016/j.jecp....
 
39.
Makowski, M. B. (2020). The written and oral justifications of mathematical claims of middle school pre-service teachers. Research in Mathematics Education, 0(0), 1-22. https://doi.org/10.1080/147948....
 
40.
Manopo, & Rahajeng, R. (2020). Analisis perbandingan soal hots dari buku ajar matematika [Comparative analysis of hot questions from math textbooks]. EDU-MAT: Jurnal Pendidikan Matematika [EDU-MAT: Journal of Mathematics Education], 8(2), 119-130. https://doi.org/10.20527/eduma....
 
41.
Miyakawa, T. (2017). Comparative analysis on the nature of proof to be taught in geometry: the cases of French and Japanese lower secondary schools. Educational Studies in Mathematics, 94(1), 37-54. https://doi.org/10.1007/s10649....
 
42.
Mullis, I. V. S., Martin, M. O., Foy, P., Kelly, D. L., Fishbein, B., & Pirls, T. &. (2020). TIMSS 2019 International results in mathematics and science. TIMSS & PIRLS International Study Center, Lynch School of Education and Human Development, Boston College and International Association for the Evaluation of Educational Achievement. https://timssandpirls.bc.edu/t....
 
43.
Nazli, A., & Ovez, F. (2018). An anthropological analysis of the knowledge on graphics within middle school mathematics. Journal of Education and Future, 1(13), 95-119.
 
44.
Nuraini, N., Riadi, A., Umanailo, M. C. B., Rusdi, M., Badu, T. K., Suryani, S., Irsan, I., Ismail, I., Pulhehe, S., & Hentihu, V. R. (2019). Political policy for the development of education. International Journal of Scientific and Technology Research, 8(11), 1871-1874.
 
45.
OECD. (2019). PISA 2018 results combined executive summaries volume I, II & III. PISA-OECD Publishing.
 
46.
Oktapiani, M., Akbar, M., & Karnati, N. (2019). Evaluation of the implementation of basic literacy education program in Bogor regency, Indonesia. Journal of Physics: Conference Series, 1232, 012032. https://doi.org/10.1088/1742-6....
 
47.
Palinussa, A. L., Molle, J. S., & Gaspersz, M. (2021). Realistic mathematics education: Mathematical reasoning and communication skills in rural contexts. International Journal of Evaluation and Research in Education, 10(2), 522-534. https://doi.org/10.11591/ijere....
 
48.
Piper, B., Simmons Zuilkowski, S., Dubeck, M., Jepkemei, E., & King, S. J. (2018). Identifying the essential ingredients to literacy and numeracy improvement: Teacher professional development and coaching, student textbooks, and structured teachers’ guides. World Development, 106, 324-336. https://doi.org/10.1016/j.worl....
 
49.
Putra, Z. H. (2019a). Elementary teachers’ knowledge on fraction multiplication: An anthropological theory of the didactic approach. Journal of Teaching and Learning in Elementary Education, 2(1), 47. https://doi.org/10.33578/jtlee....
 
50.
Putra, Z. H. (2019b). Praxeological change and the density of rational numbers: The case of pre-service teachers in Denmark and Indonesia. EURASIA Journal of Mathematics, Science and Technology Education, 15(5), em1711. https://doi.org/10.29333/ejmst....
 
51.
Putra, Z. H., & Witri, G. (2017). Anthropological theory of the didactic (anthropological theory of the didactic (ATD) a new research perspective on didactic mathematics in Indonesia) a new research perspective on didactic mathematics in Indonesia. Jurnal Pendidikan Guru [Journal of Teacher Education], 2(1), 221-227.
 
52.
Remillard, J. T., Reinke, L. T., & Kapoor, R. (2019). What is the point? Examining how curriculum materials articulate mathematical goals and how teachers steer instruction. International Journal of Educational Research, 93(April), 101-117. https://doi.org/10.1016/j.ijer....
 
53.
Sianturi, I. A. J., Ismail, Z., & Yang, D. C. (2021). A cross-national comparison of mathematical problems on numbers and operations-related topics in five countries. School Science and Mathematics, 121(2), 72-84. https://doi.org/10.1111/ssm.12....
 
54.
Sievert, H., van den Ham, A. K., Niedermeyer, I., & Heinze, A. (2019). Effects of mathematics textbooks on the development of primary school children’s adaptive expertise in arithmetic. Learning and Individual Differences, 74(January), 101716. https://doi.org/10.1016/j.lind....
 
55.
Simamora, R. E., Saragih, S., & Hasratuddin, H. (2018). 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....
 
56.
Suryadi, D. (2019). Penelitian desain didaktis (DDR) dan implementasinya [Didactical design research (DDR) and its implementation]. Gapura Press.
 
57.
Szałek, B. Z. (2016). The blurred problem of foreign funding of civil society organizations in the light of political marketing, praxeology and hybrid warfare. Reality of Politics. Estimates-Comments-Forecasts, 7(1), 195-211. https://doi.org/10.15804/rop20....
 
58.
Takeuchi, H., & Shinno, Y. (2020). Comparing the lower secondary textbooks of Japan and England: A praxeological analysis of symmetry and transformations in geometry. International Journal of Science and Mathematics Education, 18(4), 791-810. https://doi.org/10.1007/s10763....
 
59.
Tumay, H. (2016). Reconsidering learning difficulties and misconceptions in chemistry: Emergence in chemistry and its implications for chemical education. Chemistry Education Research and Practice, 17(2), 229-245. https://doi.org/10.1039/c6rp00....
 
60.
Ulumudin, I., Mahdiansyah, & Joko, B. S. (2017). Kajian buku teks dan pengayaan: Kelengkapan dan kelayakan buku teks kurikulum 2013 serta kebijakan penumbuhan minat baca siswa [Study of textbooks and enrichment: Completeness and feasibility of 2013 curriculum textbooks and policies for fostering student interest in reading]. Pusat Penelitian Kebijakan Pendidikan dan Kebudayaan, Balitbang, Kemendikbud [Center for Education and Culture Policy Research, Balitbang, Ministry of Education and Culture].
 
61.
van den Ham, A. K., & Heinze, A. (2018). Does the textbook matter? Longitudinal effects of textbook choice on primary school students’ achievement in mathematics. Studies in Educational Evaluation, 59(April), 133-140. https://doi.org/10.1016/j.stue....
 
62.
Veldhuis, M., & van den Heuvel-Panhuizen, M. (2020). Supporting primary school teachers’ classroom assessment in mathematics education: Effects on student achievement. Mathematics Education Research Journal, 32(3), 449-471. https://doi.org/10.1007/s13394....
 
63.
Wijaya, A. (2015). Context-based mathematics tasks in Indonesia: Toward better practice and achievement. Freudenthal Institute for Science and Mathematics Education, Faculty of Science, Utrecht University. https://ro.ecu.edu.au/theses/8....
 
64.
Winsløw, C. (2011). Anthropological theory of didactic phenomena: Some examples and principles of its use in the study of mathematics education. Accelerating the World’s Research, 10(1), 117-138.
 
65.
Yang, D. C., & Sianturi, I. A. (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/euras....
 
66.
Yang, D. C., & Sianturi, I. A. J. (2019). The earliest teaching and learning of probability in Singapore, the US, and Indonesia from the perspectives of textbooks analysis. Irish Educational Studies, 38(4), 535-559. https://doi.org/10.1080/033233....
 
67.
Yayuk, E., Purwanto, As’Ari, A. R., & Subanji. (2020). Primary school students’ creative thinking skills in mathematics problem solving. European Journal of Educational Research, 9(3), 1281-1295. https://doi.org/10.12973/eu-je....
 
68.
Yeo, J., Seng, T. K., Yee, L. C., & Chow, I. (2019). New syllabus mathematics 4. Shinglee Publishers.
 
eISSN:1305-8223
ISSN:1305-8215
Journals System - logo
Scroll to top