Refining and Expanding the Geometry Pedagogical Improvement Cycle (GeoPIC): A Conceptual Contribution to Competency-Based Geometry Instruction

Abstract

This conceptual paper refines and expands the Geometry Pedagogical Improvement Cycle (GeoPIC), a framework designed to improve the teaching and learning of geometry. Rooted in the Van Hiele Theory of Geometric Thinking, GeoPIC was initially developed to integrate the strengths of both Conventional Van Hiele Phased Instruction and its technology enhanced variant while addressing their contextual limitations. Building on prior empirical findings, the paper deepens the framework’s theoretical foundations, clarifies its six instructional phases, and illustrates how it aligns with the principles of Competency-Based Curriculum (CBC). Additionally, it offers brief, practical classroom scenarios to illustrate the application of each phase. The refined framework provides a dynamic, adaptive, and learner-centered instructional approach that facilitates progression through Van Hiele levels while accommodating diverse classroom contexts.