Integrating Mathematics, Community, Culture, and Place: A Conceptual Framework for Instructional Design

Muliawan Firdaus, Andrea Arifsyah Nasution

Abstract


This study proposes a novel instructional design framework that intertwines mathematical concepts with elements of community, culture, and place. The aim is to enhance student engagement and understanding of mathematics by making learning more culturally responsive and contextually relevant. Employing a mixed-methods approach involving teacher interviews, classroom observations, pre- and post-intervention surveys and tests, the study examines the potential benefits of this integrated approach along with its practical challenges. Results indicate that despite initial difficulties in implementation such as time constraints or parental resistance to non-traditional teaching methods, many teachers reported improved student involvement and comprehension when classes were connected to local communities or cultures. Importantly, the study found no significant main effects or interaction effects for grade level or ethnicity on both engagement and understanding scores pre-and post-intervention. This suggests that this instructional model can be equally effective across diverse student populations thereby potentially reducing disparities in mathematical achievement. The findings highlight the potential advantages of an inclusive pedagogical strategy in enhancing mathematics education while acknowledging further research is needed to confirm these results across different settings.

Keywords


Mathematics education; Instructional design; Community and Cultural Integration, Place-based education; Educational equity

Full Text:

PDF

References


Abrahamson, D., Nathan, M. J., Williams-Pierce, C., Walkington, C., Ottmar, E. R., Soto, H., & Alibali, M. W. (2020). The Future of Embodied Design for Mathematics Teaching and Learning. Frontiers in Education, 5(August), 1–29. https://doi.org/10.3389/feduc.2020.00147

Alakrash, H. M., & Razak, N. A. (2021). Education and the fourth industrial revolution: Lessons from COVID-19. Computers, Materials and Continua, 70(1), 951–962. https://doi.org/10.32604/cmc.2022.014288

Arrellano, R., García, L. Y., Philominraj, A., & Ranjan, R. (2022). A Qualitative Analysis of Teachers’ Perception of Classroom Pedagogical Accompaniment Program. Frontiers in Education, 7(June), 1–9. https://doi.org/10.3389/feduc.2022.682024

Asmida, Sugiatno, & Hartoyo, A. (2018). Developing the mathematics conceptual understanding and procedural fluency through Didactical Anticipatory Approach equipped with teaching aids. Journal of Education, Teaching and Learning, 3(2), 367–372.

Baltzell, A., & Akhtar, V. L. (2014). Mindfulness meditation training for sport (MMTS) intervention: Impact of MMTS with division I female athletes Sporda farkındalık eğitimi (SFE) çalışması: SFE’nin I. lig kadın atletlerdeki etkisi. The Journal of Happiness & Well-Being, 2(2), 160–173.

Belbase, S., Mainali, B. R., Kasemsukpipat, W., Tairab, H., Gochoo, M., & Jarrah, A. (2022). At the dawn of science, technology, engineering, arts, and mathematics (STEAM) education: prospects, priorities, processes, and problems. International Journal of Mathematical Education in Science and Technology, 53(11), 2919–2955. https://doi.org/10.1080/0020739X.2021.1922943

Campbell, C. (2021). Educational equity in Canada: the case of Ontario’s strategies and actions to advance excellence and equity for students. School Leadership and Management, 41(4–5), 409–428. https://doi.org/10.1080/13632434.2019.1709165

Chang, Y., & Lee, E. (2022). Addressing the challenges of online and blended STEM learning with grounded design. Australasian Journal of Educational Technology, 38(5), 163–179. https://doi.org/10.14742/ajet.7620

Chine, D. R., Brentley, C., Thomas-Browne, C., Richey, J. E., Gul, A., Carvalho, P. F., Branstetter, L., & Koedinger, K. R. (2022). Educational Equity Through Combined Human-AI Personalization: A Propensity Matching Evaluation. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics): Vol. 13355 LNCS. Springer International Publishing. https://doi.org/10.1007/978-3-031-11644-5_30

Civitillo, S., Juang, L. P., Badra, M., & Schachner, M. K. (2019). The interplay between culturally responsive teaching, cultural diversity beliefs, and self-reflection: A multiple case study. Teaching and Teacher Education, 77, 341–351. https://doi.org/10.1016/j.tate.2018.11.002

Czocher, J. A., Melhuish, K., & Kandasamy, S. S. (2020). Building mathematics self-efficacy of STEM undergraduates through mathematical modelling. International Journal of Mathematical Education in Science and Technology, 51(6), 807–834. https://doi.org/10.1080/0020739X.2019.1634223

D’Ambrosio, U., & Rosa, M. (2017). Ethnomathematics and Its Pedagogical Action in Mathematics Education (pp. 285–305). https://doi.org/10.1007/978-3-319-59220-6_12

Dean, S. N. (2021). National Park Interpretation and Place-Based Education: An Integrative Literature Review. Journal of Experiential Education, 44(4), 363–377. https://doi.org/10.1177/1053825920979626

Denton, M., & Borrego, M. (2021). Funds of Knowledge in STEM Education: A Scoping Review. Studies in Engineering Education, 1(2), 71. https://doi.org/10.21061/see.19

Engels, M., Miller, B., Squires, A., Jennewein, J., & Eitel, K. (2019). The Confluence Approach: Developing Scientific Literacy through Project-Based Learning and Place-Based Education in the Context of NGSS. Electronic Journal of Science Education, 23(3), 33–58.

Etikan, I., & Babatope, O. (2019). A Basic Approach in Sampling Methodology and Sample Size Calculation. MedLife Clinics, 1, 1006.

Fadillah, S., Wahyudi, W., & Saputri, D. F. (2017). Developing Instructional Mathematical Physics Book Based on Inquiry Approach to Improve Students’ Mathematical Problem Solving Ability. JETL (Journal Of Education, Teaching and Learning), 2(1), 106. https://doi.org/10.26737/jetl.v2i1.150

Flessa, J., Bramwell, D., Fernandez, M., & Weinstein, J. (2018). School leadership in Latin America 2000–2016. Educational Management Administration and Leadership, 46(2), 182–206. https://doi.org/10.1177/1741143217717277

Fomunyam, K. G. (2022). The Philosophical Dimensions of Mathematics in Engineering Education. International Journal of Difference Equations, 17(2), 329–345.

Gardee, A. (2019). Social Relationships between Teachers and Learners, Learners’ Mathematical Identities and Equity. African Journal of Research in Mathematics, Science and Technology Education, 23(2), 233–243. https://doi.org/10.1080/18117295.2019.1662641

Garland, R., & Batty, M. Lou. (2021). Moving beyond the rhetoric of social justice in nursing education. Witness: The Canadian Journal of Critical Nursing Discourse, 3(1), 17–30. https://doi.org/10.25071/2291-5796.96

Genc, M., & Erbas, A. K. (2019). Secondary mathematics teachers’ conceptions of mathematical literacy. International Journal of Education in Mathematics, Science and Technology, 7(3), 222–237.

Gonçalves, S. P., Sousa, M. J., & Pereira, F. S. (2020). Distance learning perceptions from higher education students—the case of Portugal. Education Sciences, 10(12), 1–15. https://doi.org/10.3390/educsci10120374

Hira, A., & Anderson, E. (2021). Motivating online learning through project-based learning during the 2020 COVID-19 pandemic. IAFOR Journal of Education, 9(2), 93–110. https://doi.org/10.22492/ije.9.2.06

Irvine, J. (2020). Positively Influencing Student Engagement and Attitude in Mathematics Through an Instructional Intervention Using Reform Mathematics Principles. Journal of Education and Learning, 9(2), 48. https://doi.org/10.5539/jel.v9n2p48

Kaminski, J. A., & Sloutsky, V. M. (2020). The use and effectiveness of colorful, contextualized, student-made material for elementary mathematics instruction. International Journal of STEM Education, 7(1). https://doi.org/10.1186/s40594-019-0199-7

Karahan, E. (2022). The lived experiences of pre-service science teachers designing and teaching socioscientific issues-based units. Disciplinary and Interdisciplinary Science Education Research, 4(1). https://doi.org/10.1186/s43031-022-00064-z

Kroesbergen, E. H., Huijsmans, M. D. E., & Friso-van den Bos, I. (2023). A Meta-Analysis on the Differences in Mathematical and Cognitive Skills Between Individuals With and Without Mathematical Learning Disabilities. Review of Educational Research, 93(5), 718–755. https://doi.org/10.3102/00346543221132773

Lamichhane, B. R. (2021). STEAM Education for Transformative Mathematics Learning. Saptagandaki Journal, 3243(12), 36–53. https://doi.org/10.3126/sj.v12i12.46152

Lestari, F. P., Ahmadi, F., & Rochmad, R. (2021). The implementation of mathematics comic through contextual teaching and learning to improve critical thinking ability and character. European Journal of Educational Research, 10(1), 497–508. https://doi.org/10.12973/EU-JER.10.1.497

Leyva, E., Walkington, C., Perera, H., & Bernacki, M. (2022). Making Mathematics Relevant: an Examination of Student Interest in Mathematics, Interest in STEM Careers, and Perceived Relevance. International Journal of Research in Undergraduate Mathematics Education, 8(3), 612–641. https://doi.org/10.1007/s40753-021-00159-4

Luitel, L. (2020). Exploring Teachers’ Experiences on the Nature of Mathematics based on their Curricular and Pedagogical Practices: A Phenomenological Inquiry. International Electronic Journal of Mathematics Education, 15(3), em0613. https://doi.org/10.29333/iejme/9135

Mainali, B. (2021). Representation in teaching and learning mathematics. International Journal of Education in Mathematics, Science and Technology, 9(1), 1–21. https://doi.org/10.46328/ijemst.1111

Mayger, L. K., & Hochbein, C. D. (2021). Growing Connected: Relational Trust and Social Capital in Community Schools. Journal of Education for Students Placed at Risk, 26(3), 210–235. https://doi.org/10.1080/10824669.2020.1824676

Meldi, N. F., Nursangaji, A., Suratman, D., Zubaidah, & Hamdani. (2022). Exploration of Mathematics Concepts in QS An-Nur. Journal of Education, Teaching, and Learning, 7(1), 89–95.

Nilimaa, J. (2023). New Examination Approach for Real-World Creativity and Problem-Solving Skills in Mathematics. Trends in Higher Education, 2(3), 477–495. https://doi.org/10.3390/higheredu2030028

Nishina, A., Lewis, J. A., Bellmore, A., & Witkow, M. R. (2019). Ethnic Diversity and Inclusive School Environments. Educational Psychologist, 54(4), 306–321. https://doi.org/10.1080/00461520.2019.1633923

Orey, D., & Rosa, M. (2007). Cultural Assertions and Challenges Towards Pedagogical Action of an Ethnomathematics Program. For the Learning of Mathematics, 27(1), 10–16. http://www.jstor.org/stable/40248554

Pathuddin, H., & Nawawi, M. I. (2021). Buginese Ethnomathematics : Barongko Cake. Journal on Mathematics Education, 12(2), 295–312.

Peel, K. L. (2020). Beginner’S Guide To Applied Educational Research Using Thematic Analysis. Practical Assessment, Research and Evaluation, 25(1), 1–16. https://doi.org/10.7275/ryr5-k983

Putra, E. C. S., & Mahmudah, F. N. (2021). The Implementation of Ethnomathematics Based-Learning for Students. SJME (Supremum Journal of Mathematics Education), 5(2). https://doi.org/10.35706/sjme.v5i2.4827

Rahman, M. M., Tabash, M. I., Salamzadeh, A., Abduli, S., & Rahaman, M. S. (2022). Sampling Techniques (Probability) for Quantitative Social Science Researchers: A Conceptual Guidelines with Examples. SEEU Review, 17(1), 42–51. https://doi.org/10.2478/seeur-2022-0023

Rodela, K. C., & Rodriguez-Mojica, C. (2020). Equity Leadership Informed by Community Cultural Wealth: Counterstories of Latinx School Administrators. Educational Administration Quarterly, 56(2), 289–320. https://doi.org/10.1177/0013161X19847513

Samuels, A. J. (2018). Exploring Culturally Responsive Pedagogy: Teachers’ Perspectives on Fostering Equitable and Inclusive Classrooms. Srate, 27(1), 22–30.

Sevimli, E., & Ünal, E. (2022). Is the STEM Approach Useful in Teaching Mathematics? Evaluating the Views of Mathematics Teachers. European Journal of STEM Education, 7(1), 1–11. https://doi.org/10.20897/ejsteme/11775

Seyhan, A. A. (2019). Lost in translation: the valley of death across preclinical and clinical divide – identification of problems and overcoming obstacles. Translational Medicine Communications, 4(1), 1–19. https://doi.org/10.1186/s41231-019-0050-7

Shakeel, M. D., & Peterson, P. E. (2022). A Half Century of Progress in US Student Achievement: Agency and Flynn Effects, Ethnic and SES Differences. In Educational Psychology Review (Vol. 34, Issue 3). Springer US. https://doi.org/10.1007/s10648-021-09657-y

Shukla, S. Y., Theobald, E. J., Abraham, J. K., & Price, R. M. (2022). Reframing Educational Outcomes: Moving beyond Achievement Gaps. CBE Life Sciences Education, 21(2), 1–11. https://doi.org/10.1187/cbe.21-05-0130

Stemhagen, K., & Henney, C. (2021). Democracy and Mathematics. In Educational Forum (Vol. 6, Issue 1). Routled. https://doi.org/10.1080/00131724109340127

Sunzuma, G., Zezekwa, N., Gwizangwe, I., & Zinyeka, G. (2021). A Comparison of the Effectiveness of Ethnomathematics and Traditional Lecture Approaches in Teaching Consumer Arithmetic: Learners’ Achievement and Teachers’ Views. Pedagogical Research, 6(4), em0103. https://doi.org/10.29333/pr/11215

Suryawan, I. P. P., & Sariyasa. (2018). Integrating ethnomathematics into open-ended problem based teaching materials. Journal of Physics: Conference Series, 1040, 012033. https://doi.org/10.1088/1742-6596/1040/1/012033

Tam, C. C., Li, X., Benotsch, E. G., & Lin, D. (2020). A Resilience-Based Intervention Programme to Enhance Psychological Well-Being and Protective Factors for Rural-to-Urban Migrant Children in China. Applied Psychology: Health and Well-Being, 12(1), 53–76. https://doi.org/10.1111/aphw.12173

Tanase, M. F. (2022). Culturally Responsive Teaching in Urban Secondary Schools. Education and Urban Society, 54(4), 363–388. https://doi.org/10.1177/00131245211026689

Tobe, A. G. D. (2023). Interplay Of Mathematics Self-Efficacy , Anxiety , Creativity Beliefs , And Learning Styles Among College Students : Implications For Curriculum Alignment. Journal of Namibian Studies : History Politics Culture, 33(3), 1725–1765.

Turner, E. E., & Drake, C. (2016). A Review of Research on Prospective Teachers’ Learning About Children’s Mathematical Thinking and Cultural Funds of Knowledge. Journal of Teacher Education, 67(1), 32–46. https://doi.org/10.1177/0022487115597476

Utami, C., Anitra, R., & Moseki, U. R. (2020). Understanding of Mathematical Concepts and Students’ Self-Regulated Learning in RME Learning Assisted by PANDU. JETL (Journal of Education, Teaching and Learning), 5(2), 229. https://doi.org/10.26737/jetl.v5i2.2045

Velempini, K., & Martin, B. (2019). Place-based education as a framework for tourism education in secondary schools: A case study from the Okavango Delta in Southern Africa. Journal of Hospitality, Leisure, Sport and Tourism Education, 25(September 2018), 100197. https://doi.org/10.1016/j.jhlste.2019.100197

Wang, M. Te, Hofkens, T., & Ye, F. (2020). Classroom Quality and Adolescent Student Engagement and Performance in Mathematics: A Multi-Method and Multi-Informant Approach. Journal of Youth and Adolescence, 49(10), 1987–2002. https://doi.org/10.1007/s10964-020-01195-0

Warner, R. P., Meerts-Brandsma, L., & Rose, J. (2020). Neoliberal ideologies in outdoor adventure education: Barriers to social justice and strategies for change. Journal of Park and Recreation Administration, 38(3), 77–92. https://doi.org/10.18666/JPRA-2019-9609

Yang, Y., Long, Y., Sun, D., Van Aalst, J., & Cheng, S. (2020). Fostering students’ creativity via educational robotics: An investigation of teachers’ pedagogical practices based on teacher interviews. British Journal of Educational Technology, 51(5), 1826–1842. https://doi.org/10.1111/bjet.12985

Zhao, Y. (2020). Tofu Is Not Cheese: Rethinking Education Amid the COVID-19 Pandemic. ECNU Review of Education, 3(2), 189–203. https://doi.org/10.1177/2096531120928082




DOI: http://dx.doi.org/10.26737/jetl.v8i2.4859

Refbacks

  • There are currently no refbacks.




Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Published by:

Institute of Managing and Publishing of Scientific Journals STKIP Singkawang

Sekolah Tinggi Keguruan dan Ilmu Pendidikan (STKIP) Singkawang

Address : STKIP Singkawang, Jalan STKIP - Kelurahan Naram Singkawang, Kalimantan Barat, INDONESIA, 79251
No. Telp.   : +62562 420 0344
No. Fax.    : +62562 420 0584

JETL (Journal of  Education, Teaching, and Learning)

e-ISSN : 2477-8478

p-ISSN : 2477-5924

Editor in Chief Contact: [email protected] / Wa: +6282142072788

Publisher Contact: [email protected] / Wa: +6282142072788

Management Tools

     

JETL Indexed by:

  

 

  Creative Commons License

JETL (Journal of Education, Teaching, and Learning) is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.