Interactive Manipulatives in Enhancing Grade 7 Conceptual Understanding and Procedural Skills
Authors
Major in Mathematics, Master of Arts in Teaching, Graduate School, Eulogio “Amang” Rodriguez Institute of Science and Technology (Philippines)
Article Information
DOI: 10.47772/IJRISS.2026.100800401
Subject Category: Education
Volume/Issue: 10/8 | Page No: 6217-6250
Publication Timeline
Submitted: 2026-08-21
Accepted: 2026-08-26
Published: 2026-09-07
Abstract
Developing learners' conceptual understanding and procedural skills is one of the primary goals of mathematics education. However, many Grade 7 learners continue to face difficulties in understanding abstract mathematical concepts, interpreting word problems, and carrying out mathematical procedures accurately. These learning challenges are often associated with the limited use of interactive instructional materials in the classroom. Recognizing this concern, the present study developed and evaluated the MATHATAG Cube, an interactive manipulative designed to provide meaningful and engaging learning experiences aligned with the Department of Education's MATATAG Curriculum.
Objectives
This study aimed to identify the learning difficulties encountered by Grade 7 learners in terms of conceptual understanding and procedural skills, develop an interactive manipulative that responds to these identified needs, determine the acceptability of the MATHATAG Cube in terms of content quality, instructional quality, technical quality, and other qualities, and examine whether significant differences existed in the evaluations of school administrators and mathematics teachers.
Methods
The study employed a quantitative descriptive research design. Thirty (30) Grade 7 mathematics teachers from public secondary schools in District 1, Quezon City, participated through total enumeration to identify learners' instructional needs and validate the developed instructional material. The MATHATAG Cube was likewise evaluated by 30 mathematics teachers, 10 school heads, and 5 department heads using a researcher-developed validation checklist. Descriptive statistics, including frequency, percentage, weighted mean, and grand mean, were used to analyze the data, while one-way Analysis of Variance (ANOVA) determined whether significant differences existed among the validators' assessments.
Results and Discussion
The findings showed that Grade 7 learners commonly struggled with understanding abstract concepts, interpreting mathematical problems, performing accurate computations, and completing multi-step solutions. In response to these challenges, the MATHATAG Cube was developed as a six-faced interactive manipulative that supports hands-on learning across the major competencies of the Grade 7 Mathematics curriculum. The instructional material received overall ratings ranging from 4.52 to 4.62, interpreted as Very Acceptable, across all evaluation criteria. Although the ANOVA results revealed significant differences in the ratings given by teachers, school heads, and department heads, all groups consistently evaluated the MATHATAG Cube positively, indicating that it is appropriate, practical, and aligned with curriculum standards. These findings suggest that interactive manipulatives can make mathematics lessons more engaging while helping learners better understand mathematical concepts and perform procedures with greater confidence and accuracy.
Conclusion
The study concludes that the MATHATAG Cube is a highly acceptable instructional manipulative that effectively addresses the conceptual and procedural learning needs of Grade 7 learners. By providing concrete and interactive learning experiences, it has the potential to improve learners' understanding of mathematics and support more meaningful classroom instruction. The study recommends the integration of the MATHATAG Cube into Grade 7 mathematics classes as a supplementary instructional material and encourages future studies to examine its effectiveness in improving learners' academic achievement and higher-order thinking skills in different educational settings.
Keywords
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