Prior researchers (Anderson et al. 1994; Ballard & Johnson 2004; Hoag & Benedict 2010) have shown that different math abilities do not equally correlate with success in economics, yet no research has specifically compared algebra and geometry skills as predictors of economics success. In the first essay, I find that students' standardized…

This paper reports on a research project that investigated the effects of a flipped instructional approach on student attitudes and achievement in a lower division university-level Finite Mathematics course. The project employed a mixed-methods design that included content exams, an attitude survey, open-ended student responses, observations, and…

Introduction: The present study evaluated the feasibility of using an iPad application or "app" for algebra-readiness mathematics, with accompanying braille materials and accessible graphics, when used in authentic educational settings. Methods: Twenty-nine students with visual impairments in grades 4-11 used the materials under the…

This study presents findings from three cohorts of students--the classes of 2003, 2004, and 2005, in the School District of Philadelphia--that were admitted to the district's career and technical education (CTE) schools through a randomized lottery process. This study takes advantage of this so-called "'natural experiment' to compare high…

This article reports results from a study investigating the impact of a sustained, comprehensive early algebra intervention in third grade. Participants included 106 students; 39 received the early algebra intervention, and 67 received their district's regularly planned mathematics instruction. We share and discuss students' responses to a written…

We report on two large studies conducted in advanced algebra classrooms in the US, which evaluated the effect of replacing traditional algebra 2 curriculum with an integrated suite of dynamic interactive software, wireless networks and technology-enhanced curriculum on student learning. The first study was a cluster randomized trial and the second…

How can children's natural perceptuo-motor skills be harnessed for teaching and learning mathematical structure? We address this question in the case of the integers. Existing research suggests that adult mental representations of integers recruit perceptuo-motor functionalities involving symmetry. Building on these findings, we designed a…

College algebra fulfills general education requirements at many colleges in the United States. The study reported here investigated differences in mathematics achievement between undergraduates in college algebra classes using one of two homework methods: "WeBWorK," an open-source system for web-based homework, or traditional…

Students' struggles with algebra are well documented. Prior to the introduction of functions, mathematics is typically focused on applying a set of arithmetic operations to compute an answer. The introduction of functions, however, marks the point at which mathematics begins to focus on building up abstractions as a way to solve complex problems.…

Introduction: The present study evaluated the feasibility of using an iPad application or "app" for algebra-readiness mathematics, with accompanying braille materials and accessible graphics, when used in authentic educational settings. Methods: Twenty-nine students with visual impairments in grades 4-11 used the materials under the…

The theme of this year's conference is "Critical Responses to Enduring Challenges in Mathematics Education." The theme of this year's conference invites mathematics education scholars to reflect upon and critically respond to enduring challenges in teaching and learning mathematics for all students. To ignite discussion within the field,…

The Advancement Via Individual Determination (AVID) program was developed to increase the number of secondary students who participate in rigorous academic courses, to accelerate student learning, and to improve student performance. The AVID program in the Houston Independent School District (HISD) targets students who (1) are in the academic…

Research evidence suggests that summer breaks contribute to income-based achievement and opportunity gaps for children and youth. However, summertime can also be used to provide programs that support an array of goals for children and youth, including improved academic achievement, physical health, mental health, social and emotional well-being,…

One goal of an undergraduate education in mathematics is to help students develop a productive disposition towards mathematics. A way of conceiving of this is as helping mathematical novices transition to more expert-like perceptions of mathematics. This conceptualization creates a need for a way to characterize students' perceptions of…

This paper discusses the results of a three-year mixed methods study into the effectiveness of a mathematics education unit. This was written for both pre-service primary education students and re-training in-service teachers, to prepare them for the teaching of pre-algebra and early algebra. The unit was taught rom 2013 to 2015 inclusively in a…