Visualizing Geometric Volume Using Video And Concrete Aids In Primary Mathematics
Abstract
General Background Understanding spatial geometry constitutes a fundamental competency in primary mathematics, bridging the gap between concrete objects and abstract mathematical concepts. Specific Background Fifth-grade students struggle with spatial reasoning regarding solid geometry, often memorizing formulas without conceptualizing volume as the physical space occupied by unit cubes, leading to frequent confusion between area and volume. Knowledge Gap Conventional mathematical instruction frequently bypasses the crucial intermediate step of concrete manipulation, immediately transitioning from abstract formulas to calculation, which causes persistent procedural and conceptual errors. Aims This study seeks to optimize conceptual understanding of cube and rectangular-prism volume by integrating dynamic video visualizations with the physical manipulation of unit cubes. Results Implemented over two sessions with fifteen participants, the pedagogical intervention significantly increased active verbal participation from 33 percent to 80 percent. Furthermore, the ability to accurately calculate volume and explain spatial concepts correctly surged from a baseline of less than half the class to 87 percent mastery. Novelty Sequencing instruction from dynamic visual representations directly into tactile unit-cube manipulation uniquely transitions learners from passive rule memorization to active, evidence-based mathematical reasoning. Implications Deploying this multimodal pedagogical sequence provides primary educators with a highly constructive framework to resolve spatial misconceptions and solidify foundational geometric competencies in elementary mathematics. Highlights: Integrating video visualizations with physical unit cubes elevated correct volume calculation rates from 40 percent to 87 percent. The pedagogical sequence significantly increased active verbal participation, shifting classroom dynamics from 5 to 12 actively engaged students. Physical manipulation successfully eliminated common misconceptions regarding the distinction between surface area and spatial volume. Keywords: Solid Geometry, Unit Cubes, Concrete Aids, Elementary Mathematics, Mathematical Reasoning