Learning Gaps in Mathematics 7 and Teachers' Instructional Strategies in Selected Public Secondary Schools in the Second Congressional District of Quezon
Irene Gonzalvo | Noel Palomares
Discipline: Education
Abstract:
This study aimed to identify the learning gaps in Mathematics 7 and examine the effect of the instructional strategies
employed by teachers in selected public secondary schools in the Second Congressional District of Quezon. Using a
descriptive research design, the study involved 26 mathematics teachers and 431 non-numerate learners from 11
selected public secondary schools. Data gathered through survey questionnaires, interviews, item analysis of student
assessments, and performance reports showed a consistent lack of mastery in five competencies, especially in problemsolving and basic operations. It also evaluated the frequency and effectiveness of instructional strategies used. The
most frequently employed instructional strategies included re-teaching complex concepts, providing additional
practice or homework, and integrating technology. Remedial classes, small group tutoring, peer tutoring, one-to-one
tutoring, differentiated instruction, and scaffolding were often used, particularly for addressing basic mathematical
skills. The results indicated a statistically significant improvement in student performance over time, suggesting that
re-teaching complex concepts, providing additional practice or homework, and integrating technology contribute
positively to bridging learning gaps. Large class sizes were the most common challenge teachers encountered while
employing instructional strategies. The study recommends the development of strategy-based lesson exemplars and
continuous support for teachers to enhance instructional delivery and student outcomes in Mathematics.
References:
- Abbas, A. (2024). Enhancing Teacher Education: Strategies for Effective Instruction and Professional Development. DOI: 10.13140/RG.2.2.34322.02244
- Aguhayon, H., Tingson, R. & Pentang, J.T. (2023). Addressing Students Learning Gaps in Mathematics through Differentiated Instruction. DOI: 10.53378/352967
- Akhter, N. & Akhter, N. (2018). Learning in Mathematics: Difficulties and Perceptions of Students.https://www.researchgate.net/publication/328772457_Learning_in_Mathematics_Difficulties_and_Perceptions_of_Students
- Appinio. (n.d.). What is Cluster Sampling? Definition, Methods, Examples. Appinio. https://www.appinio.com/en/blog/market-research/cluster-sampling
- Arifin, Sujinal & Zulkardi, Zulkardi & Indra Putri, Ratu & Hartono, Yusuf & Susanti, Elly. (2020). Scaffolding in mathematical problem-solving. Journal of Physics: Conference Series. 1480. 012054. 10.1088/1742-6596/1480/1/012054.
- Arpilleda, A. J., Resullar, M. P., Budejas, R. P., Degorio, A. L. G., Gulle, R. T., & Somera, M. C. J. (2023). Learning Gap Assessment in Integrated Mathematics 9. Brillo Journal, 3(1), 1–9. https://doi.org/10.56773/bj.v3i1.39
- Arroyo, Y.P., Penabaena-Niebles, R. & Correra, C. (2023). Influence of environmental conditions on students’ learning processes: A systematic review. https://doi.org/10.1016/j.buildenv.2023.110051
- Ballenas, G. (2023). Improving the Computational Skills in Integers, Fractions, and Decimals Through Technology-Enhanced Mathematics Instruction (TEMI). American Journal of Educational Research. Vol. 11. 603–613. 10.12691/education-11-9-9
- Brink, H., Loomans, M., Mobach, M. & Kort, H. (2021). Classrooms’ indoor environmental conditions affecting the academic achievement of students and teachers in higher education: A systematic literature review. https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7983931/
- Byiringiro, E. (2024). Effect of remedial teaching on mathematics achievement among secondary school students in Sweden: evidence from high secondary school. 10. 37-44. 10.5281/zenodo.10512450.
- Capuno, R., Necesario, R., Etcuban, J. O., Espina, R., Padillo, G., & Manguilimotan, R. (2019). Attitudes, Study Habits, and Academic Performance of Junior High School Students in Mathematics. International Electronic Journal of Mathematics Education, 14(3), 547–561.
- Chand S, Chaudhary K, Prasad A, & Chand V (2021). Perceived Causes of Students’ Poor Performance in Mathematics: A Case Study at Ba and Tavua Secondary Schools. Front. Appl. Math. Stat. 7:614408. doi: 10.3389/fams.. 2021.614408
- Cherry, K. (2023). Gardner’s Theory of Multiple Intelligences. https://www.verywellmind.com/gardners-theory-of-multiple-intelligences-2795161
- Chi, C. (2023). The Philippines still lags behind the world in math, reading, and science-PISA 2022. Philstar.com. https://www.philstar.com/headlines/2023/12/06/2316732/philippines-still-lags-behind-world-math-reading-and-science-pisa-2022
- Chinn, S. (2016). Challenges in Teaching Mathematics: Perspectives from Students’ Learning Difficulties. DOI: 10.5964/jnc.v2i1.26
- Cleaver, S. (2024). 10 Math Intervention Strategies to Boost Learning in Your Classroom. https://thirdspacelearning.com/us/blog/math-intervention-strategies/
- De las Peñas, Ma. Louise Antonette N.; Verzosa, Debbie Marie B.; Aberin, Maria Alva Q.; Garciano, Agnes D.; Mallari, Juan Carlo F.; Sarmiento, Jumela F.; and Tolentino, Mark Anthony C. (2023). Bridging the Mathematics Gap Through the Use of Mathematical Apps. ArchÄ«um.ATENEO. https://archium.ateneo.edu/mathematics-faculty-pubs/282
- Department of Education (DepEd). (2019). DepEd Order No. 21, s. 2019: Policy Guidelines on the K to 12 Basic Education Program. Department of Education.
- Deysolong, J. (2023). Assessing the Effectiveness of Interventions for Students with Learning Difficulties or Special Needs. Australian Journal of Learning Difficulties. 10.6084/m9.figshare.23008802.
- Dreer, B. & Gouase, N. (2021). Interventions fostering well-being of schoolteachers: a review of research. https://doi.org/10.1080/03054985.2021.2002290
- Dumigsi, P., Cabrella, M. & Jem Boy (2019). Effectiveness of Strategic Intervention Material in Mathematics as Remediation for Grade 9 Students in Solving Problems Involving Quadratic Functions. Asian Journal of Education and Social Studies, 5 (1). pp. 1–10. ISSN 2581-6268
- Engzell, P., Frey, A., & Verhagen, M. D. (2021). Learning loss due to school closures during the COVID-19 pandemic. Proceedings of the National Academy of Sciences of the United States of America, 118(17). https://doi.org/10.1073/pnas.2022376118
- Freitas, C. (2022). How to Develop an Effective Math Intervention Program. https://www.edutopia.org/article/how-develop-effective-math-intervention-program
- Gafoor, K.A. & Kurukkan, A. (2015). Why High School Students Feel Mathematics Difficult? An Exploration of Affective Beliefs. DOI: 10.13140/RG.2.2.18880.12800
- Gervasoni, A., Roche, A. & Downton, A. (2021). Differentiating Instruction for Students Who Fail to Thrive in Mathematics: The Impact of a Constructivist-Based Intervention Approach. https://eric.ed.gov/?id=EJ1321054
- Gita-Carlos, R. A. (2019). DepEd ‘on the right track’ to address gaps in basic education. Philippine News Agency. https://www.pna.gov.ph/articles/1088045
- Gore, J., Fray, L., Miller, A., Harris, J., & Taggart, W. (2021). The impact of COVID-19 on student learning in New South Wales primary schools: An empirical study. Australian Educational Researcher, 48(4), 605–637.
- Gutierrez, E. & Rodrigo, R. (2014). Closing the achievement gap in mathematics: evidence from a remedial program in Mexico City. https://link.springer.com/article/10.1007/s40503-014-0014-2
- Harun, N., Cuevas, K., Sagdi, L., Sapilin, A., Nasilon, N., Kadil, M., Alviar, J., & Solon, L. J. (2024). Impact of Intervention on Students’ Mastery Level and Analysis of Misconceptions in Operations on Integers. International Journal of Multidisciplinary Applied Business and Education Research. 5. 411–422. 10.11594/ijmaber.05.02.04.
- Hassan, M. (2024). Descriptive Research Design – Types, Methods and Examples. https://researchmethod.net/descriptive-research-design/#google_vignette
- Hawthorne, H. (2023). Effective Interventions in Education: Types and Examples. https://www.highspeedtraining.co.uk/hub/effective-interventions-in-education
- Hegwood, V. (2022). How Teachers Can Recognize & Address Learning Gaps in the Classroom. https://www.prodigygame.com/main-en/blog/learning-gaps/
- Hegwood, V. (2023). Top 10 Biggest Challenges Teachers Face in The Classroom Today. https://www.prodigygame.com/main-en/blog/challenges-of-teaching/
- Hernando-Malipot, M. (2021). DepEd issues guidelines on evaluation of self-learning modules. Manila Bulletin. https://mb.com.ph/2021/01/06/deped-issues-guidelines-on-evaluation-of-self-learning-modules/
- Hunt, J., Valentine, C. & Bryant, B. (2015). Supplemental Mathematics Intervention: How and Why Special Educators Intensify Intervention for Students with Learning Disabilities. Volume 37, Issue 2. https://doi.org/10.1177/07419325155972
- Kaffenberger, M. (2021). Modelling the long-run learning impact of the COVID-19 learning shock: Actions to (more than) mitigate loss. International Journal of Educational Development, 81, 102326. https://doi.org/10.1016/j.ijedudev.2020.102326
- Karasova, J.& Kleckova, G. (2023). Supporting Learners Through Effective Communication: Student Teachers’ Communication Strategies to Address Learner Behaviour. Australian Journal of Teacher Education. Vol. 48, 3. https://files.eric.ed.gov/fulltext/EJ1416419.pdf
- Krawec, J. & Montague, M. (2014). The Role of Teacher Training in Cognitive Strategy Instruction to Improve Math Problem Solving. https://doi.org/10.1111/ldrp.1203
- Kuhfeld, M., Soland, J., Tarasawa, B., Johnson, A., Ruzek, E., & Liu, J. (2020). Projecting the potential impact of COVID-19 school closures on academic achievement. Educational Researcher, 49(8), 549–565. https://doi.org/10.3102/0013189X20965918
- Lane, S. (2022). Vygotsky’s Constructivist Theory of Learning. https://eduedify.com/vygotskys-constructivist-theory-of-learning/
- Layug, G. D., Velario, J. P. V., & Capones, J. G. (2021, August). Teachers’ interventions in improving numeracy skills of Grade 7 students in Baguio City National High School. Paper presented at the 4th International Conference on Advanced Research in Teaching and Education (ICATE), University of the Cordilleras, Philippines. https://www.dpublication.com/abstract-of-4th-icate/22-4022/
- Leon, D. (2023). 11 Instructional Intervention Strategies and Examples. https://www.hmhco.com/blog/instructional-intervention-strategies-examples?srsltid=AfmBOoo6dsmlfERDHBxx56gAKlnqYlT_F5Dlj9dzucwjlvgGhgjZkZlk
- Leonard. J. (2018). Culturally Specific Pedagogy in the Mathematics Classroom. https://www.taylorfrancis.com/books/mono/10.4324/9781351255837/culturally-specific-pedagogy-mathematics-classroom-jacqueline-leonard
- Li, Y. & Schoenfeld, A. (2019). Problematizing teaching and learning mathematics as “given” in STEM education. https://stemeducationjournal.springeropen.com/ articles/10.1186/s40594-019-0197-9
- Llego, M.A. (2024). Addressing Educational Challenges in the Philippines: DepEd’s Learning Recovery Plan and House Resolution No. 1805. https://www.teacherph.com/deped-learning-recovery-plan-house-resolution-1805-philippine-education-challenges/
- Lynch, M. (2019). Types of Classroom Interventions. https://www.theedadvocate.org/types-of-classroom-interventions/
- Machera, R. (2017). Teaching Intervention Strategies that Enhance Learning in Higher Education. https://files.eric.ed.gov/fulltext/EJ1143759.pdf
- Maledeo, R., Inocencio, R., & Rustia, R.(2018). Increasing the Level of Numeracy of the Grade 7 Non-numerate Students Through Point program (Pick one group of Interested Non-numerate students and Teach). Action Research. Lutucan National High School, Sariaya, Quezon.
- Marenus, M. (2024). Howard Gardner’s Theory of Multiple Intelligences. https://www.simplypsychology.org/multiple-intelligences.html
- Massey, S. (2025). Teachers’ challenges with implementing differentiated instructional strategies in Grade 5 through 8 classrooms (Doctoral dissertation, Walden University). Walden Dissertations and Doctoral Studies. https://scholarworks.waldenu.edu/dissertations/17196
- Mathnasium of Littleton. (2020). Understanding math learning gaps. Mathnasium. https://www.mathnasium.com/blog/understanding-math-learning-gaps
- McLeod, S. (2024). Constructivism Learning Theory & Philosophy of Education. https://www.simplypsychology.org/constructivism.html
- Nsowah, F. A., Oates, G., Cruickshank, V., Agyeman, S. O., & Osei, R. D. (2024). A qualitative study of the effects of large class size on mathematics teachers’ use of assessment for learning practices in Ghana. International Journal of Innovative Research and Development, 13(12). https://www.internationaljournalcorner.com/index.php/ijird_ojs/article/view/17402
- Odum, K. J., & Nanyele, S. (2023). Effect of class size on the teaching and learning of mathematics in senior high schools. Journal of Engineering Applied Science and Humanities, 8(1), 113–125. https://doi.org/10.53075/ijmsirq/6553535355
- Paas, F. & Van Merrienboer, J. (2020). Cognitive-Load Theory: Methods to Manage Working Memory Load in the Learning of Complex Tasks. https://journals.sagepub.com/doi/full/10.1177/0963721420922183
- Palisoc Jr., R. F., Ruga, J. J., & Monserrat, N. B. (2019). Improved procedural fluency of the grade 7 students in operation on integers thru mathematics camp learning stations s.y. 2018-2019. 1–12.
- PBEd. (2023). State of Philippine Education Report 2023. PBEd. https://pbed.ph/blogs/47/PBEd/State%20of%20Philippine%20Education%20Report%202023
- Paolini, A. (2015). Enhancing Teaching Effectiveness and Student Learning Outcomes. https://files.eric.ed.gov/fulltext/EJ1060429.pdf
- Quiambao, C., Montenegro, I. & Crispe, N. (2024). Bridging the Gap: Improving Learner’s Numeracy Skills through Project BOOST. 10.13140/RG.2.2.20420.64648.
- Rose, J. (2021). Addressing Significant Learning Loss in Mathematics During Covid 19 and Beyond. Education Next. https://www.educationnext.org/addressing-significant-learning-loss-in-mathematics-during-covid-19-and-beyond
- Santos, M., Belecina, R. & Díaz, R. (2015). Mathematical Modeling: Effects on Problem Solving Performance and Math Anxiety of Students. International Letters of Social and Humanistic Sciences. 65. 103–115. 10.18052/www.scipress.com/ILSHS.65.103
- Scholl, S. (2024). How to Identify and Address Learning Gaps in The Classroom. https://www.splashlearn.com/blog/how-to-identify-address-learning-gaps-in-classroom
- Sooknanan, J., & Seemugal, T. (2023). Mathematics education in the time of COVID-19: A public health emergency exacerbated by misinterpretation of data. Teaching Mathematics and its Applications: An International Journal of the IMA, hrac025. https://doi.org/10.1093/teamat/hrac025
- Stephens, D. (2024). How to identify and address learning gaps in education. https://nearpod.com/blog/learning-gaps-education/
- Summers, R. (2024). The Most Effective Intervention Strategies for Primary and Secondary Schools and How to Make Them Work in Your School. https://thirdspacelearning.com/blog/intervention-strategies-in-schools/
- Tagupa, Hyacinth. (Inquirer.Net 2019). What happened to our basic education?. https://opinion.inquirer.net?125707/what-happened-to-our-basic-eduction
- Tong, T., Pi, F., Zheng, S., Zhong, Y., Lin, X. & Wei, Y. (2024). Exploring the Effect of Mathematics Skills on Student Performance in Physics Problem-Solving: A Structural Equation Modeling Analysis. https://link.springer.com/article/10.1007/s11165-024-10201-5
- Torres, R. C. (2021). Addressing the learning gaps in the distance learning modalities. ResearchGate, 1–4. https://www.researchgate.net/publication/352551820_Addressing_the_Learning_Gaps_in_the_Distance_Learning_Modalities
- Tutor Doctor (2021). Why Learning Gaps Are A Problem and How to Fix Them. https://www.tutordoctor.com/blog/2021/june/why-learning-gaps-are-a-problem-and-how-to-fix-t/
- UNESCO. (2021). Global monitoring of school closures caused by the COVID-19 pandemic. Retrieved January 15, 2021, from https://covid19.uis.unesco.org/global-monitoring-school-closures-covid19/
- UNESCO (2024). Addressing students’ learning gaps to ensure quality learning for all children and prevent drop-out in Asia-Pacific. https://www.unesco.org/en/articles/addressing-students-learning-gaps-ensure-quality-learning-all-children-and-prevent-drop-out-asia
- Villapeña C. (2019). Reciprocal Teaching Approach Versus Gamified Integrative Approach in Selected Topics in Mathematics 7.
- Welcome, A. (2021). Learning Gaps: Types, Examples, and Tips to Solve Them. https://sphero.com/blogs/news/learning-gaps
- World Bank. (2020). Pandemic threatens to push 72 million more children into learning poverty — World Bank outlines a new vision to ensure that every child learns, everywhere. https://www.worldbank.org/en/news/press-release/2020/12/02/pandemic-threatens-to-push-72-million-more-children-into-learning-poverty-world-bank-outlines-new-vision-to-ensure-that-every-child-learns-everywhere