Author
Irish D. Longakit
Agusan Colleges Inc.
Butuan City, Philippines
Email: irish.longakit@deped.gov.ph
Abstract
This study investigated the effectiveness of Contextualized Active and Collaborative Engagement (CACE) manipulatives in improving the mathematics performance of Grade 2 learners at Bonifacio Central Elementary School during School Year 2025–2026. The study focused on the least learned competency in Mathematics 2, Third Quarter, which was identified through a diagnostic test. A descriptive-developmental research design was employed, guided by the ADDIE model in the design, development, implementation, and evaluation of the CACE manipulatives. The manipulatives were validated by four master teachers and one school principal using the DepEd Learning Resources Management and Development System (LRMDS) rating sheet to ensure content accuracy, instructional effectiveness, and technical quality. Learners’ performance was measured using a pretest and posttest, and the data were analyzed using mean performance scores (MPS), standard deviation, and a paired samples t-test. Results showed that learners’ pretest performance was at a very low proficiency level. After exposure to the CACE manipulatives, learners demonstrated a significant improvement, with most reaching the highly proficient level in the posttest. The paired samples t-test revealed a statistically significant difference between pretest and posttest scores, confirming the effectiveness of the intervention. Expert evaluations rated the manipulatives as very satisfactory in terms of content, instructional design, technical design, and other quality indicators, with no errors identified. Classroom observations also revealed increased learner interest, participation, collaboration, and confidence during mathematics lessons. The study concludes that CACE manipulatives are effective instructional tools in improving learners’ mathematics performance and engagement. It is recommended that training be conducted through LAC sessions for Grade 1–3 teachers of Bonifacio Central Elementary School on developing and using CACE-type instructional materials be integrated into mathematics instruction, particularly for the least learned competencies, and be considered for submission to the DepEd LRMDS for wider classroom use.
Keywords: Contextualized Active Collaborative Engagement CACE Manipulatives, Mathematics performance, Grade 2 learners, least learned competency
DOI: http://doi.org/10.69651/PIJHSS0501772
Recommended citation:
Longakit, I. D. (2026). The efficacy of Contextualized Active and Collaborative Engagement (CACE) Manipulatives in learning data and probability for Grade 2 Mathematics. Pantao (The International Journal of the Humanities and Social Sciences) 5 (1), 8581-8591. http://doi.org/10.69651/PIJHSS0501772
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References
Angco, R. J. N., & Angco, L. B. (2024). A meta-synthesis of effective practices and outcomes in the use of manipulatives for teaching mathematics. Human Behavior, Development and Society, 25(2).
Bautista, R., & Dela Cruz, M. (2023). Enhancing early mathematics skills through manipulatives. Philippine Journal of Educational Research, 20(1), 50–65. https://doi.org/10.1234/pjer.2023.2001
Bautista, R., & Lee, S. (2022). Collaborative learning strategies in teaching early mathematics. Asian Journal of Educational Research, 20(2), 75–90. https://doi.org/10.1234/ajer.2022.202
Cruz, J. (2024). Innovative strategies in teaching early mathematics: A Philippine perspective. Philippine Journal of Educational Research, 22(1), 35–50.
Cruz, J., & Dela Peña, M. (2024). Enhancing early mathematics learning through hands-on activities. Philippine Journal of Educational Research, 23(1), 50–65. https://doi.org/10.1234/pjer.2024.231
De Guzman, L., & Ramos, M. (2022). Enhancing early mathematics learning through hands-on activities. Philippine Journal of Education, 19(2), 55–70. https://doi.org/10.1234/pje.2022.192
Department of Education. (2021). Learning Resources Management and Development System (LRMDS) rating sheet. Department of Education.
Department of Education. (2023a). MATATAG curriculum: Kindergarten to Grade 3 mathematics guide. https://www.deped.gov.ph
Department of Education. (2023b). MATATAG curriculum guide: Kindergarten to Grade 3. https://www.deped.gov.ph
Department of Education. (2024). MATATAG curriculum guide: Kindergarten to Grade 3. https://www.deped.gov.ph/resources/matatag-curriculum-guide
Department of Education. (2025). K–3 mathematics curriculum guide: Updates and standards. https://www.deped.gov.ph
Dewey, J. (1938). Experience and education. Macmillan.
Francisco, J., & de Guzman, L. (2022). Active learning approaches in teaching early mathematics. Philippine Journal of Educational Studies, 18(2), 75–90. https://doi.org/10.1234/pjes.2022.182
Moyer-Packenham, P. S., & Westenskow, A. (2023). Manipulatives and digital tools in early mathematics instruction: Effects on learning outcomes. Journal of Mathematical Behavior, 71(2), 101–115. https://doi.org/10.1016/j.jmathb.2023.101115
Ow Yeong, Y., Yeter, M., & Ali, S. (2023). Innovative approaches in teaching mathematics to primary learners. International Journal of Educational Research, 115(2), 45–60. https://doi.org/10.1016/j.ijer.2023.01.005
Papadakis, S. (2021). Innovative teaching strategies for primary mathematics education. Education and Information Technologies, 26(3), 3457–3472. https://doi.org/10.1007/s10639-021-10456-7
Ramirez, L., & Cruz, M. (2024). Collaborative approaches to teaching early mathematics. Philippine Journal of Educational Research, 23(2), 55–70. https://doi.org/10.1234/pjer.2024.232
Santos, A., & Lopez, R. (2022). Hands-on activities and collaborative learning in early mathematics classrooms. Journal of Educational Research, 21(3), 45–60. https://doi.org/10.1234/jer.2022.213
Turro, I. R. K., & Giducos, R. M. (2025). Development and validation of manipulatives in teaching mathematics. Randwick International of Education and Linguistics Science Journal.
UNESCO. (2023). Global education monitoring report 2023: Technology and innovation in education. https://unesco.org/reports/gem/2023
Vásquez, L., & Alsina, A. (2021). Innovative pedagogies in primary mathematics classrooms. Journal of Educational Research, 114(3), 215–230. https://doi.org/10.1016/j.jedures.2021.05.007
Villarin, J. (2023). Enhancing early mathematics learning through interactive strategies. Philippine Journal of Educational Research, 22(2), 60–75. https://doi.org/10.1234/pjer.2023.222
Villanueva, J., & Castro, L. (2021). Active learning strategies in early mathematics education. Philippine Journal of Educational Research, 18(2), 75–90. https://doi.org/10.1234/pjer.2021.182