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

Authors

DOI:

https://doi.org/10.11594/

Keywords:

Inclusive Mathematics Education, Innovative Mathematics Pedagogies, Mathematics Teaching Practices, Pedagogical Framework, Phenomenological Research

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 students to succeed in mathematics. This study sought to explore the lived experiences of teachers in implementing innovative mathematics pedagogies (IMP) and examine the foundations for the development of pedagogical framework that could guide other educators in teaching mathematics. This transcendental phenomenological study investigated senior high school mathematics teachers from public secondary schools in Region XI (Davao Region), Philippines, identified for their instructional innovations. 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 experiences with IMP. Findings from the study provided insight into IMP from the teachers’ perspectives. Three main themes, Mathematical Engagement, Mathematical Representation, and Mathematical Action and Expression were found to characterize innovative teaching of mathematics. These themes included 14 subthemes, including game-based, contextualized, peer-based, project-based and experiential learning for mathematical engagement. Mathematical representation includes differentiated, technology-enhanced, use of SIMs, and asynchronous learning. Consequently, inquiry-based, assessment-based, problem-based, reflection-based, and remediation and enrichment math learning compose mathematical action and expression. These themes and subthemes collectively provide insight into teachers’ instructional practices used to engage students in mathematical learning. 

 

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References

Adipat, S., Laksana, K., Busayanon, K., Ausawasowan, A., & Adipat, B. (2021). Engaging Students in the Learning Pro-cess with Game-Based Learning: The Fundamental Concepts. International Journal of technology in Education, 4(3), 542-552. https://doi.org/10.46328/ijte.169

Andal, G. Q., & Hermosa, J. P. (2024). The Ef-fectiveness of Problem-Based Learning Strategies in the Creative Thinking Skills of Grade 12 Students in Contemporary Philippine Arts from the Regions. Interna-tional Journal of Multidisciplinary Ap-plied Business and Education Research, 5(2), 615–625. https://doi.org/10.11594/ijmaber.05.02.22

Aidoo, Tsyawo, Quansah, & Boateng. (2022). Students’ learning experiences in a flipped classroom: A case study in Ghana. International Journal of Education and Development Using Information and Communication Technology, 18(1), 67–85.

Bado, N. (2019). Game-based Learning Peda-gogy: A Review of the literature. Interac-tive Learning Environments. https://doi.org/10.1080/10494820.2019.1683587

Cabrera, F. R. (2023). Synchronous and Asyn-chronous Modalities for Mathematics In-struction 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

Creswell, J. W. (2013). Qualitative inquiry & research design : choosing among five approaches. https://bvbr.bib-bvb.de:443/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034728158&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA

Crodua, J. B., Jr, & Itaas, E. C. (2025). MATHe-matikula: The use of cinematic mathe-matics videos to enhance students’ nu-meracy skills in the Least-Learned com-petencies in statistics and probability. In-ternational Journal of Multidisciplinary Applied Business and Education Re-search, 6(4), 1702–1716. https://doi.org/10.11594/ijmaber.06.04.12

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

Darling-Hammond, L., Flook, L., Cook-Harvey, C., Barron, B., & Osher, D. (2019). Implica-tions for educational practice of the sci-ence of learning and development. Ap-plied Developmental Science, 24(2), 97–140. https://doi.org/10.1080/10888691.2018.1537791

Dorimana, A., Uworwabayeho, A., & Nizey-imana, G. (2022). Enhancing Upper Sec-ondary Learners’ Problem-solving Abili-ties 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

Doz, D., Žakelj, A., & Cotič, M. (2025). Inquiry-based learning in Grade 9 mathematics: assessing outcomes across Gagné’s tax-onomy. Educational Studies in Mathemat-ics, 120(2), 269–298. https://doi.org/10.1007/s10649-025-10417-w

Fernández, L. M., & Galarza, M. O. (2023). Con-textualizing the Mathematical Knowledge for Teaching Framework for teachers of Emergent Bilinguals. Frontiers in Educa-tion, 8. https://doi.org/10.3389/feduc.2023.1146797

Herner-Patnode, L., & Lee, H. (2021). Differen-tiated Instruction to Teach Mathematics: Through the Lens of Responsive Teach-ing. Mathematics Teacher Education and Development, 23(3), 6-25.

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

Khasawneh, E., Hodge-Zickerman, A., York, C. S., Smith, T. J., & Mayall, H. (2022). Exam-ining the effect of inquiry-based learning versus traditional lecture-based learning on students’ achievement in college alge-bra. International Electronic Journal of Mathematics Education, 18(1), em0724. https://doi.org/10.29333/iejme/12715

Kültür, Y. Z., & Kutlu, M. O. (2021). The effect of formative assessment on high school students mathematics achievement and attitudes. Journal of Pedagogical Re-search, 5(4), 155–171. https://doi.org/10.33902/jpr.2021474302

Lestari, F. P., Ahmadi, F., & Rochmad, R. (2021). The Implementation of Mathe-matics Comic through Contextual Teach-ing and Learning to Improve Critical Thinking Ability and Character. European Journal of Educational Research, vol-ume–10–2021(volume–10–issue–1–january–2021), 497–508. https://doi.org/10.12973/eu-jer.10.1.497

Mahmuti, A., Hamzić, D. K., & Thaqi, X. (2025). The impact of contextual teaching and learning on improving student achieve-ment in economic mathematics. Interna-tional Electronic Journal of Mathematics Education, 20(3), em0833. https://doi.org/10.29333/iejme/16233

Maruyama, T., & Kurosaki, T. (2021). Do re-medial activities using math workbooks improve student learning? Empirical evi-dence from scaled-up interventions in Ni-ger. World Development, 148, 105659. https://doi.org/10.1016/j.worlddev.2021.105659

Moustakas, C. (1994). Phenomenological re-search methods. https://doi.org/10.4135/9781412995658

Ndiung, S., & Menggo, S. (2024). Project-Based Learning in Fostering Creative Thinking and Mathematical Problem-Solving Skills: Evidence from Primary Education in In-donesia. International Journal of Learn-ing Teaching and Educational Research, 23(8), 289–308. https://doi.org/10.26803/ijlter.23.8.15

Ng, C., Chen, Y., Wu, C., & Chang, T. (2022). Evaluation of math anxiety and its reme-diation through a digital training program in mathematics for first and second grad-ers. Brain and Behavior, 12(5), e2557. https://doi.org/10.1002/brb3.2557

Organisation for Economic Co-operation and Development. (2019). OECD future of ed-ucation and skills 2030: OECD learning compass 2030. OECD Publishing.

Organisation for Economic Co-operation and Development. (2023). Shaping digital ed-ucation: Enabling factors for quality, eq-uity and efficiency. OECD Publishing.

Peńeda, F. (2023). An Exploration of Collabo-rative Learning Strategy in Mathematics: a Psychological case study. Journal for Re Attach Therapy and Developmental Di-versities, 6(9s). https://jrtdd.com/index.php/journal/article/download/1050/717/1167

Polat, H., & Özkaya, M. (2023). The effect of problem posing-based active learning ac-tivities on problem-solving and posing performance: The case of fractions. Jour-nal of Pedagogical Research. https://doi.org/10.33902/jpr.202317880

Purwandi, D., Susanto, & Hobri. (2020). Devel-opment of Remedial mathematics learn-ing 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

Rakoczy, K., Pinger, P., Hochweber, J., Klieme, E., Schütze, B., & Besser, M. (2018). Formative assessment in mathematics: Mediated by feedback’s perceived use-fulness and students’ self-efficacy. Learn-ing and Instruction, 60, 154–165. https://doi.org/10.1016/j.learninstruc.2018.01.004

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/edulearn.v19i1.21806

Rybak, A. (2021). Effectiveness of teaching and learning in technology-supported mathematics education. Journal of Phys-ics Conference Series, 1946(1), 012004. https://doi.org/10.1088/1742-6596/1946/1/012004

Saputri, R. R., & Qohar, A. (2020). Develop-ment of Comic-Based Mathematics Learn-ing Media on social arithmetic topic. Journal of Physics Conference Series, 1657(1), 012082. https://doi.org/10.1088/1742-6596/1657/1/012082

Saputro, P., Wahyudin, & Herman, T. (2023). Improving Students’ Mathematical Profi-ciency Through Synchronous and Asyn-chronous Approaches using Digital Mod-ules. Journal of Theoretical and Applied Information Technology. https://www.jatit.org/volumes/Vol101No8/9Vol101No8.pdf

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/zenodo.7162173

Şen, C., Ay, Z. S., & Güler, G. (2021). The effec-tiveness of inquiry-based learning on middle school students’ mathematics rea-soning skill. Athens Journal of Education, 8(4), 417–430. https://doi.org/10.30958/aje.8-4-5

Shanaa, Z., & Hamada, N. (2020). Remedial Classes for Middle School Students: Evi-dence from UAE. International Journal of Innovation, Creativity and Change, 13(7). https://www.ijicc.net/images/vol_13/Iss_7/13768_Shanaa_2020_E_R.pdf

Sugino, C. (2021). Student Perceptions of a Synchronous Online Cooperative Learn-ing Course in a Japanese Women’s Uni-versity during the COVID-19 Pandemic. Education Sciences, 11(5), 231. https://doi.org/10.3390/educsci11050231

Sun, L., & Xiao, L. (2023). An SEM model of learning engagement and basic mathe-matical competencies based on experien-tial learning. Applied Sciences, 13(6), 3650. https://doi.org/10.3390/app13063650

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

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

UNESCO. (2020). Education for sustainable development: A roadmap. UNESCO Pub-lishing.

UNESCO. (2021). Reimagining our futures to-gether: A new social contract for educa-tion. UNESCO Publishing.

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

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 Research Journal, 14(1), 45–54. https://doi.org/10.59120/drj.v14i1.10

Viberg, O., Grönlund, Å., & Andersson, A. (2020). Integrating Digital Technology in Mathematics Education: A Swedish Case Study. Interactive Learning Environ-ments, 31(1), 232–243. https://doi.org/10.1080/10494820.2020.1770801

Zhang, L., Stylianides, G. J., & Stylianides, A. J. (2024). Enhancing mathematical problem posing competence: a meta-analysis of in-tervention studies. International Journal of STEM Education, 11(1). https://doi.org/10.1186/s40594-024-00507-1

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Published

23-04-2026

Data Availability Statement

Data is available upon request to the corresponding author.

How to Cite

Crodua Jr., J. B., & Luzano, J. F. P. (2026). Emergent Innovative Mathematics Pedagogies in Contemporary Education: Foundations Towards the Development of a Pedagogical Framework. International Journal of Multidisciplinary: Applied Business and Education Research, 7(4), 1659-1681. https://doi.org/10.11594/