A Quantitative Reasoning Approach to Algebra Using Inquiry-Based Learning

Abstract

In this paper, I share a hybrid quantitative reasoning/algebra two-course sequence that challenges the common assumption that quantitative literacy and reasoning are less rigorous mathematics alternatives to algebra and illustrates that a quantitative reasoning framework can be used to teach traditional algebra. The presentation is made in two parts. In the first part, which is somewhat philosophical and theoretical, I explain my personal perspective of what I mean by "algebra" and "doing algebra. " I contend that algebra is a form of communication whose value is precision, which allows us to perform algebraic manipulations in the form of simplification and solving moves. A quantitative reasoning approach to traditional algebraic manipulations rests on intentional and purposeful use of simplification and solving moves within contextual situations. In part 2, I describe a 6-week instructional module intended for undergraduate business students that was delivered to students who had placed into beginning algebra. The perspective described in part 1 heavily informed the design of this module. The course materials, which involve the use of Excel in multiple authentic contexts, are built around the use of inquiry-based learning. Upon completion of this module, the percentage of students who successfully complete model problems in an assessment is in the same range as surveyed students in precalculus and calculus, approximately two "grade levels" ahead of their placement.

Concluding Thoughts

“…Yet, strangely, and as we indicated in Chap. 2, ML for thematic map seems largely taken for granted beyond studies on the relatively low-level "skill" of how different thematic map symbols may be perceived (Wiegand 2006;Phillips 2013).…”

Quantitative Literacy and Reasoning of Freshman Students with Different Senior High School Academic Background Pursuing STEM-Related Programs

“…Recently though, a few educators have started teaching mathematics courses such as Algebra using quantitative reasoning as an approach. Contextualized problems were powerful for students learning algebraic manipulations (Piercey, 2017).…”