Science and Mathematics Education Commons^™

A Quantitative Reasoning Approach To Algebra Using Inquiry-Based Learning, Victor I. Piercey

Numeracy

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 …

Motivation For Mathematics: The Development And Initial Validation Of An Abbreviated Instrument, Kenneth Lee Butler

USF Tampa Graduate Theses and Dissertations

This study outlines the development and initial validation of an abbreviated instrument intended to measure motivation for mathematics of university students in developmental algebra courses. I look across many of the predominant theories on motivation with the aim of representing several of these theories as latent constructs in a single instrument that is short enough to be administered in a reasonable amount of time, but inclusive enough that it could incorporate subscales representing multiple distinct latent factors. This study answers a call by researchers expressing a need to investigate relationships between disparate theories on motivation and is a response to …

The Influence Of Types Of Homework On Opportunity To Learn And Students' Mathematics Achievement: Examples From The University Of Chicago School Mathematics Project, Yiting Yu

USF Tampa Graduate Theses and Dissertations

ABSTRACT

Public views on assigning students mathematics homework have been controversial. Although homework is designed for students to complete during non-school hours (Cooper, 1989), many see homework as excessive pressure on students. Most research placed their focus on the influence of the time spent on homework or the amount of homework on student achievement. Few studies have addressed the impact of types of mathematics homework. The purpose of this study is to examine the role of homework types in influencing opportunity to learn (OTL) on student achievement.

This quantitative study used subsets of a large existing dataset collected by University …

Relationships Between The Algebraic Performance Of Students In Subject-Specific And Integrated Course Pathways, Derrick Saddler

USF Tampa Graduate Theses and Dissertations

The purpose of this study was to compare the algebraic performance gains of high school students who enroll in an integrated mathematics course pathway (i.e., Integrated Mathematics I-II-III) to the algebraic performance gains of high school students who enroll in a subject-specific course pathway (i.e., Algebra I-Geometry-Algebra II). Several studies have been performed in which researchers examined relationships between mathematics outcomes and the course-taking patterns of high school students enrolled in subject-specific course pathways. However, there is little extant research in which researchers have investigated effects of content organization on students' learning and achievement. Therefore, this study addresses calls for …

Faculty Viewpoints On Teaching Quantway®, Heather Howington, Thomas Hartfield, Cinnamon Hillyard

Numeracy

Quantway is a quantitative reasoning-based pathway for developmental math that has been developed as an alternative to the traditional remedial algebra sequence. To explore the experiences of faculty involved with Quantway, we interviewed eight individuals who have taught the course in the past year to survey their attitudes and opinions about students in their classes, the materials and pedagogies in use, and the collegial interaction of networked faculty. Faculty were selected with the intention of gathering a broad set of opinions resulting from differences of location, experience, and other factors. In this paper, we summarize those interviews by identifying common …

Parts Of The Whole: An Algebra Lesson, Dorothy Wallace

Numeracy

This column draws on research of Eon Harper to demonstrate how an understanding of his proposed stages of algebra acquisition would inform a systemic overhaul of algebra education. Harper's stages also explain why students may pass a series of algebra courses yet still be unable to make sense of calculus, as well as offering insight on what aspects of algebra support quantitative literacy.