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Application Framework Increasing Pre-Calculus Engagement through Structured Tasks, Reasoning Development, And STEM Relevance

Mforchive Abdoulaye Bobga, Thomas Jerome Yeboah, Adeniyi Adebowale Apelehin, Samuel Darkey Ofori, Ruth Adesola Elumilade, Dennis Edache Abutu

Abstract

Pre-calculus serves as a critical gateway course for student success in science, technology, engineering, and mathematics disciplines; however, persistent challenges related to low engagement, abstract reasoning difficulties, and perceived lack of real-world relevance continue to hinder student outcomes. This review paper examines the application of structured instructional frameworks designed to increase pre-calculus engagement through task sequencing, mathematical reasoning development, and explicit STEM contextualization. Drawing on contemporary literature in mathematics education, cognitive science, and STEM pedagogy, the study synthesizes evidence on how well-designed tasks—ranging from procedural fluency exercises to inquiry-based and modeling-oriented activities—can scaffold conceptual understanding while sustaining learner motivation. Particular attention is given to reasoning- centered approaches that promote functional thinking, multiple representations, and justification practices as foundational competencies for calculus readiness. The review further explores instructional strategies that embed pre-calculus concepts within authentic STEM contexts, such as engineering design problems, data-driven modeling, and technology-enhanced simulations, thereby strengthening students’ perception of mathematical utility and career relevance. Additionally, the paper analyzes assessment-aligned task design and formative feedback mechanisms that support adaptive learning pathways. By integrating structured task design, reasoning development, and STEM relevance into a cohesive application framework, this review provides educators, curriculum designers, and policymakers with evidence-based guidance for improving pre-calculus instruction. The proposed framework aims to enhance engagement, deepen conceptual understanding, and strengthen students’ transition into calculus and STEM degree programs.

Keywords

Pre-Calculus EducationStudent EngagementMathematical ReasoningStructured Task DesignSTEM IntegrationCalculus Readiness. E- ISSN 2489-009X

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