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References
- Bakker, A., & van Eerde, D. (2015). An introduction to design-based research with an example from statistics education. In A. Bikner-Ahsbahs, C. Knipping, & N. Presmeg (Eds.), Doing qualitative research: methodology and methods in mathematics education (Issue May, pp. 429–466). Springer. https://doi.org/10.1007/978-94-017-9181-6_16
- Blum, W. (2011). Can modelling be taught and learnt? Some answers from empirical research. International Perspectives on the Teaching and Learning of Mathematical Modelling, 1, 15–30. https://doi.org/10.1007/978-94-007-0910-2_3
- Bonotto, C. (2013). Artifacts as sources for problem-posing activities. Educational Studies in Mathematics, 83(1), 37–55. https://doi.org/10.1007/s10649-012-9441-7
- Borromeo Ferri, R. (2018). Learning how to teach mathematical modeling in school and teacher education. In Learning How to Teach Mathematical Modeling in School and Teacher Education. Springer International Publishing. https://doi.org/10.1007/978-3-319-68072-9
- Chan, C. M. E. (2013). Initial perspectives of teacher professional development on mathematical modelling in Singapore: Conceptions of mathematical modelling. In S. G, K. G, B. W, & Brown J (Eds.), Teaching Mathematical Modelling: Connecting to Research and Practice (pp. 405–413). Springer. https://doi.org/10.1007/978-94-007-6540-5_34
- Depaepe, F., De Corte, E., & Verschaffel, L. (2010). Teachers’ approaches towards word problem solving: Elaborating or restricting the problem context. Teaching and Teacher Education, 26(2), 152–160. https://doi.org/10.1016/j.tate.2009.03.016
- Gravemeijer, K. (2004). Local Instruction Theories as means of support for teachers in reform mathematics education. Mathematical Thinking and Learning, 6(2), 105–128. https://doi.org/10.1207/s15327833mtl0602_3
- Gravemeijer, K., & Cobb, P. (2006). Design research from a learning design perspective. In J. Van den Akker, K. P. E. Gravemeijer, S. McKenney, & N. Nieveen (Eds.), Educational design research (pp. 17–51). Routledge.
- Gravemeijer, K., & Doorman, M. (1999). Context problems in realistic mathematics education: A calculus course as an example. Educational Studies in Mathematics, 39(1–3), 111–129. https://doi.org/10.1023/a:1003749919816
- Große, C. S. (2014). Learning to solve story problems—supporting transitions between reality and mathematics. European Journal of Psychology of Education, 29(4), 619–634. https://doi.org/10.1007/s10212-014-0217-6
- Hartmann, L. M., Krawitz, J., & Schukajlow, S. (2021). Create your own problem! When given descriptions of real-world situations, do students pose and solve modelling problems? ZDM - Mathematics Education, 53(4), 919–935. https://doi.org/10.1007/s11858-021-01224-7
- Hwang, J., & Ham, Y. (2021). Relationship between mathematical literacy and opportunity to learn with different types of mathematical tasks. Journal on Mathematics Education, 12(2), 199–222. https://doi.org/10.22342/JME.12.2.13625.199-222
- Isik, C., & Kar, T. (2012). The analysis of the problems posed by the pre-service teachers about equations. Australian Journal of Teacher Education, 37(9), 93–113. https://doi.org/10.14221/ajte.2012v37n9.1
- Jupri, A. (2015). The use of applets to improve Indonesian student performance in algebra. [Master thesis, University of Utrecht]. Utrecht University Repository.
- Kohar, A. W., Wardani, A. K., & Fachrudin, A. D. (2019). Profiling context-based mathematics tasks developed by novice PISA-like task designers. Journal of Physics: Conference Series, 1200(1). https://doi.org/10.1088/1742-6596/1200/1/012014
- Kramarski, B., Mevarech, Z. R., & Arami, M. (2002). The effects of metacognitive instruction on solving mathematical authentic tasks. Educational Studies in Mathematics, 49, 225–250. https://doi.org/https://doi.org/10.1023/A:1016282811724
- Lee, N. H. (2013). Initial Perspectives of Teacher Professional Development on Mathematical Modelling in Singapore: Problem Posing and Task Design. In S. G, K. G, B. W, & B. J (Eds.), International Perspectives on the Teaching and Learning of Mathematical Modelling (pp. 415–425). Springer. https://doi.org/10.1007/978-94-007-6540-5_35
- Leiss, D., Plath, J., & Schwippert, K. (2019). Language and Mathematics - Key factors influencing the comprehension process in reality-based tasks. Mathematical Thinking and Learning, 21(2), 131–153. https://doi.org/10.1080/10986065.2019.1570835
- NCTM. (2000). Principles and standards for school mathematics. NCTM.
- Neef, N. A., Nelles, D. E., Iwata, B. A., & Page, T. J. (2003). Analysis of precurrent skills in solving mathematics story problems. Journal of Applied Behavior Analysis, 36(1), 21–33. https://doi.org/10.1901/jaba.2003.36-21
- Niss, M., Bruder, R., Planas, N., Turner, R., & Villa-Ochoa, J. A. (2017). Conceptualisation of the role of competencies, knowing and knowledge in mathematics education research. In Proceedings of the 13th International Congress on Mathematical Education: ICME-13 (pp. 235-248). Springer International Publishing.
- Nuthall, G. (2004). Analysis of why research has failed to bridge the theory-practice gap. Harvard Educational Review, 74(3), 273–307.
- Nyman, R. (2017). Interest and engagement: Perspectives on mathematics in the classroom. [Doctoral dissertation, Gothenburg University]. Gothenburg University Publications Electronic Archive (GUPEA).
- OECD. (2016). PISA 2015 results (volume I): Excellence and equity in education. OECD Publishing.
- OECD. (2019). PISA 2018 results: Combined executive summaries volume I, II & III. OECD Publishing.
- OECD. (2023). PISA 2022 Results (Volume I). OECD. https://doi.org/10.1787/53f23881-en
- Prediger, S., & Krägeloh, N. (2015). Low achieving eighth graders learn to crack word problems: a design research project for aligning a strategic scaffolding tool to students’ mental processes. ZDM - Mathematics Education, 47(6), 947–962. https://doi.org/10.1007/s11858-015-0702-7
- Pusat Asesmen dan Pembelajaran. (2020). AKM dan Implikasinya pada Pembelajaran. Kementerian Pendidikan dan Kebudayaan.
- Santrock, J. W. (2021). Educational psychology (7th ed.). McGraw Hill LLC.
- Şengül, S., & Katranci, Y. (2015). Free problem posing cases of prospective mathematics teachers: Difficulties and solutions. Procedia - Social and Behavioral Sciences, 174(262), 1983–1990. https://doi.org/10.1016/j.sbspro.2015.01.864
- Sevinc, S., & Lesh, R. (2018). Training mathematics teachers for realistic math problems: a case of modeling-based teacher education courses. ZDM, 50(1–2), 301–314. https://doi.org/10.1007/s11858-017-0898-9
- Sevinc, S., & Lesh, R. (2021). Preservice mathematics teachers’ conceptions of mathematically rich and contextually realistic problems. Journal of Mathematics Teacher Education, 0123456789. https://doi.org/10.1007/s10857-021-09512-5
- Siswono, T. Y. E., Kohar, A. W., Hartono, S., & Rosyidi, A. H. (2018). An innovative training model for supporting in-service teachers’ understanding on problem-solving knowledge for teaching. Proceedings of the 8th ICMI-East Asia Regional Conference on Mathematics Education, 321–332.
- Stacey, K. (2015). The Real World and the Mathematical World. In K. Stacey & R. Turner (Eds.), Assessing Mathematical Literacy (pp. 57–84). Springer International Publishing. https://doi.org/10.1007/978-3-319-10121-7_3
- Stoyanova, E. N., & Ellerton, N. F. (1996). A framework for research into students’ problem posing in school mathematics. In P. Clarkson (Ed.), Technology in mathematics education (pp. 518–525). Mathematics Education Research Group of Australia.
- Sullivan, P., Knott, L., & Yang, Y. (2015). The relationships between task design, anticipated pedagogies, and student learning. In A. Watson & M. Ohtani (Eds.), Task Design in Mathematics Education: An ICMI Study 22 (pp. 83–114). Springer International Publishing. https://doi.org/10.1007/978-3-319-09629-2_3
- van den Heuvel-Panhuizen, M. (2005). The role of contexts in assessments problems in mathematics. For the Learning of Mathematics, 25(2), 2–9.
- van den Heuvel-Panhuizen, M., & Drijvers, P. (2020). Realistic Mathematics Education. In S. Lerman (Ed.), Encyclopedia of Mathematics Education (Vol. 4, Issue 3, pp. 713–717). Springer International Publishing. https://doi.org/10.1007/978-3-030-15789-0_170
- Verschaffel, L., Schukajlow, S., Star, J., & Van Dooren, W. (2020). Word problems in mathematics education: a survey. ZDM - Mathematics Education, 52(1), 1–16. https://doi.org/10.1007/s11858-020-01130-4
- Widjaja, W., & Dolk, M. (2010). Building, supporting, and enhancing teachers’ capacity to foster mathematical learning: insights from Indonesian classroom. In Y. Shimizu, Y. Sekiguchi, & K. Hino (Eds.), Proceedings of the 5th East Asia Regional Conference on Mathematics Education (pp. 332–339). EARCOME.
- Wijaya, A. (2008). Design Research in Mathematics Education Indonesian Traditional Games as Preliminaries in Learning Measurement of Length. [Master thesis, University of Utrecht]. Utrecht University Repository.
- Wijaya, A. (2015). Context-based mathematics tasks in Indonesia: Toward better practice and achievement. [Doctoral dissertation, University of Utrecht]. Utrecht University Repository. https://ro.ecu.edu.au/theses/885/
- Wijaya, A., van den Heuvel-Panhuizen, M., & Doorman, M. (2015a). 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. (2015b). Teachers’ teaching practices and beliefs regarding context-based tasks and their relation with students’ difficulties in solving these tasks. Mathematics Education Research Journal, 27(4), 637–662. https://doi.org/10.1007/s13394-015-0157-8
References
Bakker, A., & van Eerde, D. (2015). An introduction to design-based research with an example from statistics education. In A. Bikner-Ahsbahs, C. Knipping, & N. Presmeg (Eds.), Doing qualitative research: methodology and methods in mathematics education (Issue May, pp. 429–466). Springer. https://doi.org/10.1007/978-94-017-9181-6_16
Blum, W. (2011). Can modelling be taught and learnt? Some answers from empirical research. International Perspectives on the Teaching and Learning of Mathematical Modelling, 1, 15–30. https://doi.org/10.1007/978-94-007-0910-2_3
Bonotto, C. (2013). Artifacts as sources for problem-posing activities. Educational Studies in Mathematics, 83(1), 37–55. https://doi.org/10.1007/s10649-012-9441-7
Borromeo Ferri, R. (2018). Learning how to teach mathematical modeling in school and teacher education. In Learning How to Teach Mathematical Modeling in School and Teacher Education. Springer International Publishing. https://doi.org/10.1007/978-3-319-68072-9
Chan, C. M. E. (2013). Initial perspectives of teacher professional development on mathematical modelling in Singapore: Conceptions of mathematical modelling. In S. G, K. G, B. W, & Brown J (Eds.), Teaching Mathematical Modelling: Connecting to Research and Practice (pp. 405–413). Springer. https://doi.org/10.1007/978-94-007-6540-5_34
Depaepe, F., De Corte, E., & Verschaffel, L. (2010). Teachers’ approaches towards word problem solving: Elaborating or restricting the problem context. Teaching and Teacher Education, 26(2), 152–160. https://doi.org/10.1016/j.tate.2009.03.016
Gravemeijer, K. (2004). Local Instruction Theories as means of support for teachers in reform mathematics education. Mathematical Thinking and Learning, 6(2), 105–128. https://doi.org/10.1207/s15327833mtl0602_3
Gravemeijer, K., & Cobb, P. (2006). Design research from a learning design perspective. In J. Van den Akker, K. P. E. Gravemeijer, S. McKenney, & N. Nieveen (Eds.), Educational design research (pp. 17–51). Routledge.
Gravemeijer, K., & Doorman, M. (1999). Context problems in realistic mathematics education: A calculus course as an example. Educational Studies in Mathematics, 39(1–3), 111–129. https://doi.org/10.1023/a:1003749919816
Große, C. S. (2014). Learning to solve story problems—supporting transitions between reality and mathematics. European Journal of Psychology of Education, 29(4), 619–634. https://doi.org/10.1007/s10212-014-0217-6
Hartmann, L. M., Krawitz, J., & Schukajlow, S. (2021). Create your own problem! When given descriptions of real-world situations, do students pose and solve modelling problems? ZDM - Mathematics Education, 53(4), 919–935. https://doi.org/10.1007/s11858-021-01224-7
Hwang, J., & Ham, Y. (2021). Relationship between mathematical literacy and opportunity to learn with different types of mathematical tasks. Journal on Mathematics Education, 12(2), 199–222. https://doi.org/10.22342/JME.12.2.13625.199-222
Isik, C., & Kar, T. (2012). The analysis of the problems posed by the pre-service teachers about equations. Australian Journal of Teacher Education, 37(9), 93–113. https://doi.org/10.14221/ajte.2012v37n9.1
Jupri, A. (2015). The use of applets to improve Indonesian student performance in algebra. [Master thesis, University of Utrecht]. Utrecht University Repository.
Kohar, A. W., Wardani, A. K., & Fachrudin, A. D. (2019). Profiling context-based mathematics tasks developed by novice PISA-like task designers. Journal of Physics: Conference Series, 1200(1). https://doi.org/10.1088/1742-6596/1200/1/012014
Kramarski, B., Mevarech, Z. R., & Arami, M. (2002). The effects of metacognitive instruction on solving mathematical authentic tasks. Educational Studies in Mathematics, 49, 225–250. https://doi.org/https://doi.org/10.1023/A:1016282811724
Lee, N. H. (2013). Initial Perspectives of Teacher Professional Development on Mathematical Modelling in Singapore: Problem Posing and Task Design. In S. G, K. G, B. W, & B. J (Eds.), International Perspectives on the Teaching and Learning of Mathematical Modelling (pp. 415–425). Springer. https://doi.org/10.1007/978-94-007-6540-5_35
Leiss, D., Plath, J., & Schwippert, K. (2019). Language and Mathematics - Key factors influencing the comprehension process in reality-based tasks. Mathematical Thinking and Learning, 21(2), 131–153. https://doi.org/10.1080/10986065.2019.1570835
NCTM. (2000). Principles and standards for school mathematics. NCTM.
Neef, N. A., Nelles, D. E., Iwata, B. A., & Page, T. J. (2003). Analysis of precurrent skills in solving mathematics story problems. Journal of Applied Behavior Analysis, 36(1), 21–33. https://doi.org/10.1901/jaba.2003.36-21
Niss, M., Bruder, R., Planas, N., Turner, R., & Villa-Ochoa, J. A. (2017). Conceptualisation of the role of competencies, knowing and knowledge in mathematics education research. In Proceedings of the 13th International Congress on Mathematical Education: ICME-13 (pp. 235-248). Springer International Publishing.
Nuthall, G. (2004). Analysis of why research has failed to bridge the theory-practice gap. Harvard Educational Review, 74(3), 273–307.
Nyman, R. (2017). Interest and engagement: Perspectives on mathematics in the classroom. [Doctoral dissertation, Gothenburg University]. Gothenburg University Publications Electronic Archive (GUPEA).
OECD. (2016). PISA 2015 results (volume I): Excellence and equity in education. OECD Publishing.
OECD. (2019). PISA 2018 results: Combined executive summaries volume I, II & III. OECD Publishing.
OECD. (2023). PISA 2022 Results (Volume I). OECD. https://doi.org/10.1787/53f23881-en
Prediger, S., & Krägeloh, N. (2015). Low achieving eighth graders learn to crack word problems: a design research project for aligning a strategic scaffolding tool to students’ mental processes. ZDM - Mathematics Education, 47(6), 947–962. https://doi.org/10.1007/s11858-015-0702-7
Pusat Asesmen dan Pembelajaran. (2020). AKM dan Implikasinya pada Pembelajaran. Kementerian Pendidikan dan Kebudayaan.
Santrock, J. W. (2021). Educational psychology (7th ed.). McGraw Hill LLC.
Şengül, S., & Katranci, Y. (2015). Free problem posing cases of prospective mathematics teachers: Difficulties and solutions. Procedia - Social and Behavioral Sciences, 174(262), 1983–1990. https://doi.org/10.1016/j.sbspro.2015.01.864
Sevinc, S., & Lesh, R. (2018). Training mathematics teachers for realistic math problems: a case of modeling-based teacher education courses. ZDM, 50(1–2), 301–314. https://doi.org/10.1007/s11858-017-0898-9
Sevinc, S., & Lesh, R. (2021). Preservice mathematics teachers’ conceptions of mathematically rich and contextually realistic problems. Journal of Mathematics Teacher Education, 0123456789. https://doi.org/10.1007/s10857-021-09512-5
Siswono, T. Y. E., Kohar, A. W., Hartono, S., & Rosyidi, A. H. (2018). An innovative training model for supporting in-service teachers’ understanding on problem-solving knowledge for teaching. Proceedings of the 8th ICMI-East Asia Regional Conference on Mathematics Education, 321–332.
Stacey, K. (2015). The Real World and the Mathematical World. In K. Stacey & R. Turner (Eds.), Assessing Mathematical Literacy (pp. 57–84). Springer International Publishing. https://doi.org/10.1007/978-3-319-10121-7_3
Stoyanova, E. N., & Ellerton, N. F. (1996). A framework for research into students’ problem posing in school mathematics. In P. Clarkson (Ed.), Technology in mathematics education (pp. 518–525). Mathematics Education Research Group of Australia.
Sullivan, P., Knott, L., & Yang, Y. (2015). The relationships between task design, anticipated pedagogies, and student learning. In A. Watson & M. Ohtani (Eds.), Task Design in Mathematics Education: An ICMI Study 22 (pp. 83–114). Springer International Publishing. https://doi.org/10.1007/978-3-319-09629-2_3
van den Heuvel-Panhuizen, M. (2005). The role of contexts in assessments problems in mathematics. For the Learning of Mathematics, 25(2), 2–9.
van den Heuvel-Panhuizen, M., & Drijvers, P. (2020). Realistic Mathematics Education. In S. Lerman (Ed.), Encyclopedia of Mathematics Education (Vol. 4, Issue 3, pp. 713–717). Springer International Publishing. https://doi.org/10.1007/978-3-030-15789-0_170
Verschaffel, L., Schukajlow, S., Star, J., & Van Dooren, W. (2020). Word problems in mathematics education: a survey. ZDM - Mathematics Education, 52(1), 1–16. https://doi.org/10.1007/s11858-020-01130-4
Widjaja, W., & Dolk, M. (2010). Building, supporting, and enhancing teachers’ capacity to foster mathematical learning: insights from Indonesian classroom. In Y. Shimizu, Y. Sekiguchi, & K. Hino (Eds.), Proceedings of the 5th East Asia Regional Conference on Mathematics Education (pp. 332–339). EARCOME.
Wijaya, A. (2008). Design Research in Mathematics Education Indonesian Traditional Games as Preliminaries in Learning Measurement of Length. [Master thesis, University of Utrecht]. Utrecht University Repository.
Wijaya, A. (2015). Context-based mathematics tasks in Indonesia: Toward better practice and achievement. [Doctoral dissertation, University of Utrecht]. Utrecht University Repository. https://ro.ecu.edu.au/theses/885/
Wijaya, A., van den Heuvel-Panhuizen, M., & Doorman, M. (2015a). 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. (2015b). Teachers’ teaching practices and beliefs regarding context-based tasks and their relation with students’ difficulties in solving these tasks. Mathematics Education Research Journal, 27(4), 637–662. https://doi.org/10.1007/s13394-015-0157-8