Home⇛International Journal of Multidisciplinary: Applied Business and Education Research⇛vol. 7 no. 4 (2026)

Emergent Innovative Mathematics Pedagogies in Contemporary Education: Foundations Towards the Development of a Pedagogical Framework

Jay Fie P. Luzano

Discipline: Mathematics

 

Abstract:

There is a growing need for more innovative approaches to teaching mathematics in classrooms worldwide. Teachers are expected to deliver pedagogies that cater to diverse learners, engage them in meaningful mathematical learning, and provide access to opportunities for all stu- dents to succeed in mathematics. This study sought to explore the lived experiences of teachers in implementing innovative mathematics peda- gogies (IMP) and examine the foundations for the development of peda- gogical framework that could guide other educators in teaching mathe- matics. This transcendental phenomenological study investigated senior high school mathematics teachers from public secondary schools in Re- gion XI (Davao Region), Philippines, identified for their instructional in- novations. Participants in the study were 10 purposively selected senior high school mathematics teachers. In-depth interviews were used as the research methodology to collect in-depth narratives of teachers' lived ex- periences with IMP. Findings from the study provided insight into IMP from the teachers' perspectives. Three main themes, Mathematical En- gagement, Mathematical Representation, and Mathematical Action and Expression were found to characterize innovative teaching of mathemat- ics. These themes included 14 subthemes, including game-based, contex- tualized, peer-based, project-based and experiential learning for mathe- matical engagement. Mathematical representation includes differenti- ated, technology-enhanced, use of SIMs, and asynchronous learning. Con- sequently, inquiry-based, assessment-based, problem-based, reflection- based, and remediation and enrichment math learning compose mathe- matical action and expression. These themes and subthemes collectively provide insight into teachers' instructional practices used to engage stu- dents in mathematical learning. The Innovative Mathematics Pedagogies Framework was developed based on themes which is consistent with *Corresponding author: E-mail: jovito.crodua@deped.gov.ph Crodua Jr.& Luzano, 2026 / Emergent Innovative Mathematics Pedagogies in Contemporary Education IJMABER 1660 Volume 7 | Number 4 | April | 2026 Universal Design for Learning principles and emphasizes diverse learn- ing needs, rigorous academic instruction, and personalization. Implica- tions for future research include further validation and application of the Innovative Mathematics Pedagogies Framework in different educational settings. Educational stakeholders, such as school administrators, policy- makers, and teacher educators, would benefit from an understanding of the Framework to develop innovative instructional practices and policy implementations.



References:

  1. Adipat, S., Laksana, K., Busayanon, K., Ausawasowan, A., & Adipat, B. (2021). Engaging Students in the Learning Process with Game-Based Learning: The Fundamental Concepts. International Journal of technology in Education, 4(3), 542-552. https://doi.org/10.46328/ijte.169">https://doi.org/10.46328/ijte.169">https://doi.org/10.46328/ijte.169
  2. Andal, G. Q., & Hermosa, J. P. (2024). The Effectiveness of Problem-Based Learning Strategies in the Creative Thinking Skills of Grade 12 Students in Contemporary Philippine Arts from the Regions. International Journal of Multidisciplinary Applied Business and Education Research, 5(2), 615–625. https://doi.org/10.11594/ijma-ber.05.02.22">https://doi.org/10.11594/ijma-ber.05.02.22">https://doi.org/10.11594/ijma-ber.05.02.22
  3. Aidoo, Tsyawo, Quansah, & Boateng. (2022). Students’ learning experiences in a flipped classroom: A case study in Ghana. International Journal of Education and Develop-ment Using Information and Communication Technology, 18(1), 67–85.
  4. Bado, N. (2019). Game-based Learning Pedagogy: A Review of the literature. Interactive Learning Environments. https://doi.org/10.1080/10494820.2019.1683587">https://doi.org/10.1080/10494820.2019.1683587">https://doi.org/10.1080/10494820.2019.1683587
  5. Cabrera, F. R. (2023). Synchronous and Asynchronous Modalities for Mathematics Instruction during the Covid-19 Pandemic. European Journal of Mathematics and Science Education, volume–4–2023(volume–4–issue–1–march–2023), 79–93. https://doi.org/10.12973/ejmse.4.1.79">https://doi.org/10.12973/ejmse.4.1.79">https://doi.org/10.12973/ejmse.4.1.79
  6. Creswell, J. W. (2013). Qualitative inquiry & re-search design : choosing among five approaches. https://bvbr.bib-bvb.de:443/F?func=service&doc_li-brary=BVB01&lo-cal_base=BVB01&doc_num-ber=034728158&se-quence=000001&line_num-ber=0001&func_code=DB_REC-ORDS&service_type=MEDIA">https://bvbr.bib-bvb.de:443/F?func=service&doc_li-brary=BVB01&lo-cal_base=BVB01&doc_num-ber=034728158&se-quence=000001&line_num-ber=0001&func_code=DB_REC-ORDS&service_type=MEDIA">https://bvbr.bib-bvb.de:443/F?func=service&doc_li-brary=BVB01&lo-cal_base=BVB01&doc_num-ber=034728158&se-quence=000001&line_num-ber=0001&func_code=DB_REC-ORDS&service_type=MEDIA
  7. Crodua, J. B., Jr, & Itaas, E. C. (2025). MATHe-matikula: The use of cinematic mathematics videos to enhance students’ numeracy skills in the Least-Learned competencies in statistics and probability. International Journal of Multidisciplinary Applied Business and Education Research, 6(4), 1702–1716. https://doi.org/10.11594/ijma-ber.06.04.12">https://doi.org/10.11594/ijma-ber.06.04.12">https://doi.org/10.11594/ijma-ber.06.04.12
  8. Cruz, S., Viseu, F., & Lencastre, J. A. (2022). Project-Based Learning Methodology as a Promoter of Learning Math Concepts: A Scoping Review. Front. Educ. https://doi.org/10.3389/feduc.2022.953390">https://doi.org/10.3389/feduc.2022.953390">https://doi.org/10.3389/feduc.2022.953390
  9. Darling-Hammond, L., Flook, L., Cook-Harvey, C., Barron, B., & Osher, D. (2019). Implications for educational practice of the science of learning and development. Ap-plied Developmental Science, 24(2), 97–140. https://doi.org/10.1080/10888691.2018.1537791">https://doi.org/10.1080/10888691.2018.1537791">https://doi.org/10.1080/10888691.2018.1537791
  10. Dorimana, A., Uworwabayeho, A., & Nizey-imana, G. (2022). Enhancing Upper Secondary Learners’ Problem-solving Abilities using Problem-based Learning in Mathematics. International Journal of Learning Teaching and Educational Re-search, 21(8), 235–252. https://doi.org/10.26803/ijlter.21.8.14">https://doi.org/10.26803/ijlter.21.8.14">https://doi.org/10.26803/ijlter.21.8.14
  11. Doz, D., Žakelj, A., & Cotič, M. (2025). Inquiry-based learning in Grade 9 mathematics: assessing outcomes across Gagné’s taxon-omy. Educational Studies in Mathematics, 120(2), 269–298. https://doi.org/10.1007/s10649-025-10417-w">https://doi.org/10.1007/s10649-025-10417-w">https://doi.org/10.1007/s10649-025-10417-w
  12. Fernández, L. M., & Galarza, M. O. (2023). Contextualizing the Mathematical Knowledge for Teaching Framework for teachers of Emergent Bilinguals. Frontiers in Education, 8. https://doi.org/10.3389/feduc.2023.1146797">https://doi.org/10.3389/feduc.2023.1146797">https://doi.org/10.3389/feduc.2023.1146797
  13. Herner-Patnode, L., & Lee, H. (2021). Differentiated Instruction to Teach Mathematics: Through the Lens of Responsive Teaching. Mathematics Teacher Education and Development, 23(3), 6-25.
  14. Hidayat, A., & Firmanti, P. (2024). Navigating the tech frontier: a systematic review of technology integration in mathematics education. Cogent Education, 11(1), 2373559. https://doi.org/10.1080/2331186X.2024.2373559">https://doi.org/10.1080/2331186X.2024.2373559">https://doi.org/10.1080/2331186X.2024.2373559
  15. Khasawneh, E., Hodge-Zickerman, A., York, C. S., Smith, T. J., & Mayall, H. (2022). Examining the effect of inquiry-based learning versus traditional lecture-based learning on stu-dents’ achievement in college algebra. International Electronic Journal of Mathe-matics Education, 18(1), em0724. https://doi.org/10.29333/iejme/12715">https://doi.org/10.29333/iejme/12715">https://doi.org/10.29333/iejme/12715
  16. Kültür, Y. Z., & Kutlu, M. O. (2021). The effect of formative assessment on high school students mathematics achievement and attitudes. Journal of Pedagogical Research, 5(4), 155–171. https://doi.org/10.33902/jpr.2021474302">https://doi.org/10.33902/jpr.2021474302">https://doi.org/10.33902/jpr.2021474302
  17. 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, volume–10–2021(volume–10–issue–1–january–2021), 497–508. https://doi.org/10.12973/eu-jer.10.1.497">https://doi.org/10.12973/eu-jer.10.1.497">https://doi.org/10.12973/eu-jer.10.1.497
  18. Mahmuti, A., Hamzić, D. K., & Thaqi, X. (2025). The impact of contextual teaching and learning on improving student achievement in economic mathematics. International Electronic Journal of Mathematics Education, 20(3), em0833. https://doi.org/10.29333/iejme/16233">https://doi.org/10.29333/iejme/16233">https://doi.org/10.29333/iejme/16233
  19. Maruyama, T., & Kurosaki, T. (2021). Do reme-dial activities using math workbooks im-prove student learning? Empirical evidence from scaled-up interventions in Ni-ger. World Development, 148, 105659. https://doi.org/10.1016/j.worlddev.2021.105659">https://doi.org/10.1016/j.worlddev.2021.105659">https://doi.org/10.1016/j.worlddev.2021.105659
  20. Moustakas, C. (1994). Phenomenological re-search methods. https://doi.org/10.4135/9781412995658">https://doi.org/10.4135/9781412995658">https://doi.org/10.4135/9781412995658
  21. Ndiung, S., & Menggo, S. (2024). Project-Based Learning in Fostering Creative Thinking and Mathematical Problem-Solving Skills: Evidence from Primary Education in Indonesia. International Journal of Learning Teaching and Educational Research, 23(8), 289–308. https://doi.org/10.26803/ijlter.23.8.15">https://doi.org/10.26803/ijlter.23.8.15">https://doi.org/10.26803/ijlter.23.8.15
  22. Ng, C., Chen, Y., Wu, C., & Chang, T. (2022). Eval-uation of math anxiety and its remediation through a digital training program in mathematics for first and second graders. Brain and Behavior, 12(5), e2557. https://doi.org/10.1002/brb3.2557">https://doi.org/10.1002/brb3.2557">https://doi.org/10.1002/brb3.2557
  23. Organisation for Economic Co-operation and Development. (2019). OECD future of education and skills 2030: OECD learning compass 2030. OECD Publishing.
  24. Organisation for Economic Co-operation and Development. (2023). Shaping digital education: Enabling factors for quality, equity and efficiency. OECD Publishing.
  25. Peńeda, F. (2023). An Exploration of Collaborative Learning Strategy in Mathematics: a Psychological case study. Journal for Re Attach Therapy and Developmental Diversities, 6(9s). https://jrtdd.com/in-dex.php/journal/article/down-load/1050/717/1167">https://jrtdd.com/in-dex.php/journal/article/down-load/1050/717/1167">https://jrtdd.com/in-dex.php/journal/article/down-load/1050/717/1167
  26. Polat, H., & Özkaya, M. (2023). The effect of problem posing-based active learning activities on problem-solving and posing performance: The case of fractions. Journal of Pedagogical Research. https://doi.org/10.33902/jpr.202317880">https://doi.org/10.33902/jpr.202317880">https://doi.org/10.33902/jpr.202317880
  27. Purwandi, D., Susanto, & Hobri. (2020). Development of Remedial mathematics learning based on Lesson Study for Learning Community against problem solving. Journal of Physics Conference Series, 1538(1), 012114. https://doi.org/10.1088/1742-6596/1538/1/012114">https://doi.org/10.1088/1742-6596/1538/1/012114">https://doi.org/10.1088/1742-6596/1538/1/012114
  28. Rakoczy, K., Pinger, P., Hochweber, J., Klieme, E., Schütze, B., & Besser, M. (2018). Formative assessment in mathematics: Mediated by feedback’s perceived usefulness and students’ self-efficacy. Learning and Instruction, 60, 154–165. https://doi.org/10.1016/j.learnin-struc.2018.01.004">https://doi.org/10.1016/j.learnin-struc.2018.01.004">https://doi.org/10.1016/j.learnin-struc.2018.01.004
  29. Rijal, A., Aswarliansyah, & Waluyo, B. (2025). Effectiveness of differentiated learning in mathematics: insights from elementary school students. Journal of Education and Learning (EduLearn), 19(1). https://doi.org/10.11591/edu-learn.v19i1.21806">https://doi.org/10.11591/edu-learn.v19i1.21806">https://doi.org/10.11591/edu-learn.v19i1.21806
  30. Rybak, A. (2021). Effectiveness of teaching and learning in technology-supported mathematics education. Journal of Physics Conference Series, 1946(1), 012004. https://doi.org/10.1088/1742-6596/1946/1/012004">https://doi.org/10.1088/1742-6596/1946/1/012004">https://doi.org/10.1088/1742-6596/1946/1/012004
  31. Saputri, R. R., & Qohar, A. (2020). Development of Comic-Based Mathematics Learning Media on social arithmetic topic. Journal of Physics Conference Series, 1657(1), 012082. https://doi.org/10.1088/1742-6596/1657/1/012082">https://doi.org/10.1088/1742-6596/1657/1/012082">https://doi.org/10.1088/1742-6596/1657/1/012082
  32. Saputro, P., Wahyudin, & Herman, T. (2023). Improving Students’ Mathematical Proficiency Through Synchronous and Asyn-chronous Approaches using Digital Modules. Journal of Theoretical and Applied Information Technology. https://www.jatit.org/vol-umes/Vol101No8/9Vol101No8.pdf">https://www.jatit.org/vol-umes/Vol101No8/9Vol101No8.pdf">https://www.jatit.org/vol-umes/Vol101No8/9Vol101No8.pdf
  33. Segarino, G. M., & Labisig, J. (2022). SIMS as Intervention in Enriching the Teaching of Fundamental Operations in Mathematics: An Action Research. Psych Educ. https://doi.org/10.5281/ze-nodo.7162173">https://doi.org/10.5281/ze-nodo.7162173">https://doi.org/10.5281/ze-nodo.7162173
  34. Şen, C., Ay, Z. S., & Güler, G. (2021). The effectiveness of inquiry-based learning on middle school students’ mathematics reasoning skill. Athens Journal of Education, 8(4), 417–430. https://doi.org/10.30958/aje.8-4-5">https://doi.org/10.30958/aje.8-4-5">https://doi.org/10.30958/aje.8-4-5
  35. Shanaa, Z., & Hamada, N. (2020). Remedial Classes for Middle School Students: Evidence from UAE. International Journal of Innovation, Creativity and Change, 13(7). https://www.ijicc.net/im-ages/vol_13/Iss_7/13768_Sha-naa_2020_E_R.pdf">https://www.ijicc.net/im-ages/vol_13/Iss_7/13768_Sha-naa_2020_E_R.pdf">https://www.ijicc.net/im-ages/vol_13/Iss_7/13768_Sha-naa_2020_E_R.pdf
  36. Sugino, C. (2021). Student Perceptions of a Synchronous Online Cooperative Learning Course in a Japanese Women’s University during the COVID-19 Pandemic. Education Sciences, 11(5), 231.https://doi.org/10.3390/educsci11050231
  37. Sun, L., & Xiao, L. (2023). An SEM model of learning engagement and basic mathematical competencies based on experiential learning. Applied Sciences, 13(6), 3650. https://doi.org/10.3390/app13063650">https://doi.org/10.3390/app13063650">https://doi.org/10.3390/app13063650
  38. Tachie, S. A. (2019). Meta-cognitive Skills and Strategies Application: How this Helps Learners in Mathematics Problem-solving. Eurasia Journal of Mathematics Science and Technology Education, 15(5). https://doi.org/10.29333/ejmste/105364">https://doi.org/10.29333/ejmste/105364">https://doi.org/10.29333/ejmste/105364
  39. Thi-Nga, H., Thi-Binh, V., & Nguyen, T. (2024). Metacognition in mathematics education: From academic chronicle to future re-search scenario–A bibliometric analysis with the Scopus database. Eurasia Journal of Mathematics Science and Technology Education, 20(4), em2427. https://doi.org/10.29333/ejmste/14381">https://doi.org/10.29333/ejmste/14381">https://doi.org/10.29333/ejmste/14381
  40. UNESCO. (2020). Education for sustainable de-velopment: A roadmap.
  41. UNESCO Publishing.UNESCO. (2021). Reimagining our futures together: A new social contract for education.UNESCO Publishing.
  42. Uyen, B. P., Tong, D. H., & Lien, N. B. (2022). The effectiveness of experiential learning in teaching arithmetic and geometry in sixth grade. Frontiers in Education, 7. https://doi.org/10.3389/feduc.2022.858631">https://doi.org/10.3389/feduc.2022.858631">https://doi.org/10.3389/feduc.2022.858631
  43. Velez, A. J., Dayaganon, D. G., Robigid, J., Demorito, J., Villegas, J., & Gomez, D. (2023). Difficulties and Coping Strategies in Understanding Mathematical Concepts in a Private Higher Education in Tagum City, Davao del Norte, Philippines. Davao ResearchJournal, 14(1), 45–54. https://doi.org/10.59120/drj.v14i1.10">https://doi.org/10.59120/drj.v14i1.10">https://doi.org/10.59120/drj.v14i1.10
  44. Viberg, O., Grönlund, Å., & Andersson, A. (2020). Integrating Digital Technology in Mathematics Education: A Swedish Case Study. Interactive Learning Environments, 31(1), 232–243. https://doi.org/10.1080/10494820.2020.1770801">https://doi.org/10.1080/10494820.2020.1770801">https://doi.org/10.1080/10494820.2020.1770801
  45. Zhang, L., Stylianides, G. J., & Stylianides, A. J. (2024). Enhancing mathematical problem posing competence: a meta-analysis of intervention studies. International Journal of STEM Education, 11(1). https://doi.org/10.1186/s40594-024-00507-1

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