Volume 06 Issue 11 November 2023
1Wei Liu, 2David Osmond, 3Huda Affas
1Wei Liu, Hillcrest Christian College, VIC, Australia.
2David Osmond, Hillcrest Christian College, VIC, Australia.
3Huda Affas, Hillcrest Christian College, VIC, Australia.
DOI : https://doi.org/10.47191/ijsshr/v6-i11-77Google Scholar Download Pdf
ABSTRACT
This paper explored the potential of Realistic Mathematics Education (RME) to support the design of a framework of Investigation- a new curriculum for senior mathematics in Australia. Qualitative and quantitative methods were used in this study. Recognising that RME learning characteristics connect with the components of Investigation, an interview was applied to explore teachers’ interpretations of REM potential and transform these into the Investigation model. Pedagogical approaches like the RME, Piaget’s constructive theory and Vygotsky’s sociocultural theory were embedded in the design of the draft framework. Data about students’ confidence in doing the tasks and the challenges of doing the Investigation were collected from a survey after the first Investigation. The survey findings showed that students understand the Investigation's aim, feel confident in doing the task, and work effectively with the Investigation framework with average results of over 80%. Teachers’ feedback and evaluation were also collected after the first Investigation via an interview. Then, the second Investigation was designed based on the data from the survey, interview, and the academic results of the first Investigation. Data were analysed and compared, along with the academic results from the second Investigation, combined with students' and teachers’ understanding of the Investigation in the Victorian Mathematics Curriculum in Australia, finally, the framework was revised. This study provides a new framework for the new section of the Mathematics Curriculum in Australia, highlighting the significance of the connection between classroom learning and realistic situations.
KEYWORDS:Mathematics Learning Realistic Mathematics Education Investigation Task Model of Investigation Framework of Investigation
REFERENCES1) Fakhrunisa, F., & Hasanah, A. (2020). Students’ algebraic thinking: A study of mathematical modelling competencies. Journal of Physics: Conference Series, 1521(3), 1-6. doi: 10.1088/1742-6596/1521/3/032077
2) Blum, W. (2002). Application and modelling in mathematics education. Educational Studies in Mathematics, 51, pp.149-171
3) Laurens,T., Atlolona,F.A., Batlolona, J.R.,Leasa, M.(2018). How Does Realistic Mathematics Education (RME) Improve Students’ Mathematics Cognitive Achievement? EURASIA Journal of Mathematics,Science and Technology Education, 14(2),569-578. doi:10.12973/ejmste/76959
4) Albert,L.R., Antos, J. (2000). Mathematics teaching in the middle school. Daily journals connect mathematics to real life. 5(8), 526-531.doi:http://doi.org/10.5951/MTMS.5.8.0526
5) Leasa, M., & Corebima, A. D. (2017). The effect of numbered heads together (NHT) cooperative learning model on the cognitive achievement of students with different academic ability. Journal of Physics: Conference Series, 795.
6) Australian Curriculum, Assessment and Reporting Authority (ACARA)(2016).Australian curriculum mathematics.URL: https://australiancurriculum.edu.au/f-10-curriculum/mathematics?
7) Victorian Curriculum and Assessment Authority (VCAA) (2022). Victorian Certificate of Education Mathematic Study Design -accreditation period 2023-2027 updated -version 1.1, retrieved from https://www.vcaa.vic.edu.au/curriculum/vce/vce-study-designs/generalmathematics/Pages/Index.aspx
8) Freudenthal, H. (1971). Geometry between the devil and the deep sea. Educational Studies in Mathematics, 3, 413-435.
9) Van den Heuvel-Panhuizen, Mc.V., & Drijvers, P.(2014). Realistic mathematics education. Encyclopedia of Mathematics Education,521-525.doi: 10.1007/978-94-007-4978-8
10) Dickinson, P., Hough, S., Searle, J., & Barmby, P. (2011). Evaluating the impact of a Realistic Mathematics Education project in secondary schools, in C. Smith (Ed.) Proceedings of the British Society for Research into Learning Mathematics (BSRLM), 31(3), 47–52.
11) Dickinson, P., Gough, S., & Hough, S. (2014) Using context and models at Higher Level GCSE: adapting Realistic Mathematics Education (RME) for the UK curriculum, in Pope, S. (Ed.) Proceedings of the 8th British Congress for Mathematics Education, pp 105-112.
12) Hough,S., Solomon,Y., Dickinson, P.& Gough,S.(2017). Investigating the impact of a Realistic Mathematics Education approach on achievement and attitudes in Post-16 GCSE resit classes. Retrieved from https://www.nuffieldfoundation.org/sites/default/files/files/Hough%20-%20Main%20Public%20Output%20(Nov17).pdf
13) Bray, A. & Tangney, B. (2015). Enhancing student engagement through the affordances of mobile technology: A 21st century learning perspective on realistic mathematics education. Mathematics Education Research Journal. doi:10.1007/s13394-015-0158-7.
14) Kathotia, V., O'Brien, K., & Solomon, Y. (2021). Just mathematics? Fostering empowering and inclusive mathematics classrooms with Realistic Mathematics Education. Exploring New Ways to Connect: Proceedings of the Eleventh International Mathematics Education and Society Conference, Vol. 2, 545–554. https://doi.org/10.5281/zenodo.5414524
15) Pegg, J. (2018). The van Hiele Theory. In: Lerman, S. (eds) Encyclopedia of Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-319-77487-9_183-4
16) Anwar,L., Budayasa, I,K., Amin, S,M., Dede de Haanx. (2012).Eliciting Mathematical Thinking of Students through Realistic Mathematics Education. IndoMS. J.M.E 3(1), 55-70.
17) Drijvers, P.H.M,(2003).Learning algebra in a computer algebra environment : design research on the understanding of the concept of parameter. https://dspace.library.uu.nl/bitstream/handle/1874/886/full.pdf?sequence=1&isAllowed=y
18) Mulbar U, Zaki A.(2018) Design of Realistic Mathematics Education on Elementary School Students. Journal of Physics: Conference Series, 128: 1±8. https://doi.org/10.1088/1742-6596/1028/1/012155
19) Ven de Heuvel-Panhuizen,M.,& Drijvers, P. (2020).Realistic Mathematics Education. Encyclopedia of Mathematics Education. pp 713–717
20) Khairunnia, M., Hasratuddin; Armanto,D. (2020). Development of Learning Devices Based on RME Approach to Increase Problem Solving and Mathematical Disposition Ability Students at SMP N 1 Batang Kuis. American Journal of Educational Research, 8 (1), 58-65 .doi:10.12691/education-8-1-9
21) Yao, X., & Manouchehri, A. (2020). Teacher interventions for advancing students’ mathematical understanding. Education Sciences, 10(6), 1–21. https://doi.org/10.3390/educsci10060164.
22) Howe, E. R.(2018).Let’s teach students why math matters in the real world.Retrive from https://theconversation.com/lets-teach-students-why-math-matters-in-the-real-world-102316
23) Kinard, J.T & Kozulin,A.(2012). Rigorous Mathematical Thinking. Cambridge University Press.
24) Wilcox, B., & Monroe, E. E. (2011). Integrating writing and mathematics. The Reading Teacher, 64(7), 521-529.
25) National Council of Teachers of Mathematics (NCTM). (2019). Principles, Standards, and Expectations. Retrieved from https://www.nctm.org/Standards-and-Positions/Principles-and-Standards/Principles,-Standards,-and-Expectations/ 18
26) Benson-O'Connor, Carol D.; McDaniel, Christina; and Carr, Jason (2019).Bringing Math to Life: Provide Students Opportunities to Connect their Lives to Math. Networks: An Online Journal for Teacher Research: 21(2). https://doi.org/10.4148/ 2470-6353.1299
27) Viseu,F & Oliveira,I.B.(2012).Open-ended Tasks in the Promotion of Classroom Communication in Mathematics. International Electronic Journal of Elementary Education, 4(2), 287-300.
28) Yuanita P, Zulnaidi,H & Zakaria E.(2016) The Effect of Realistic Mathematics Education (RME) Implementation to Mathematics Belief, Mathematics Representative and Mathematics Problem Solving. Advanced Science Letters, 22(8): 1989-1992.
29) Das, Kaushik(2020). Realistic Mathematics & Vygotsky’s Theories in Mathematics Education. Shanlax International Journal of Education, 9(1),104-108.
30) Australian Curriculum-links to 21st learning (AC).(2022). https://www.education.gov.au/australian-curriculum/national-stem-education-resources-toolkit/i-want-know-about-stem-education/what-works-best-when-teaching-stem/links-21st-century-learning#What%20Is%20It?
31) Hwang, W.Y., Chen, Nc,S., Dung, J,J., Yang, Y,L. (2007). Multiple representatin skills and creativity effects on mathematical problem solving using a multimedia whiteboard system. Educational Technology and Society,10(2): 191-212.
32) Warsito, Darhim & Herman T.(2018) Improving students' mathematical representational ability through RMEbased progressive mathematization. Journal of Physics: Conference Series,948: 1-6. doi 10.1088/1742-6596/948/1/012038