Foundations to Algebraic Mastery

Abstract

Realizing that Algebra 1 is a gatekeeper to not only higher mathematics but STEM careers in general, it is imperative that our students master the content matter. Our Nation’s report card shows we are not progressing in this area. To assist in algebraic mastery, this paper describes and provides concrete examples of four research-based pedagogical elements that can aid in student success: (a) basic skill development, (b) computational ease, (c) step-by-step scaffolding, and (d) the extensive use of the Explain-Practice-Assess (EPA) Strategy. Basic skill development assures that all students begin with the requisite background, providing equal opportunity for success, which can promote student engagement. By eliminating unnecessary computational complexity, students are more likely to participate and persevere in problem-solving. The step-by-step scaffolding meets the students where they are and incrementally brings them to mastery, with new material taught in digestible bites. The EPA strategy provides a mean to move students through a topic at an appropriate pace—not moved too quickly; students are given the time necessary to conceptually understand the concepts taught. The four elements described herein serve as a guide to help Algebra I teachers attain success for all students.