We apply Carroll's model of school learning, which theorizes about the relationship between time and learning, to motivate the design of a large, first-year, university mathematics course, where students have the choice to attend lectures and/or watch online videos. The theoretical model informs how the course and resources are designed in order…

We report a novel survey that narrows the gap between information about teachers' knowledge of fraction arithmetic provided, on the one hand, by measures practical to administer at scale and, on the other, by close analysis of moment-to-moment cognition. In particular, the survey measured components that would support reasoning directly with…

Increasing the number of students choosing a STEM (science, technology, engineering, and mathematics) career is a national educational priority. One way thought to increase interest in STEM is with advanced STEM courses in high school, especially Advanced Placement (AP) courses. Using data from 15,847 college undergraduates, we investigated the…

This study examined the relationship between students' (N = 229) concepts of size and scale and students' achievement in science and mathematics over a 3-year period. Size and scale are considered one of the big ideas in science that permeates disparate science and mathematics content areas, yet little is known about the relationship between…

Recent multiplication with regrouping research shows that the combination of the concrete-representational-abstract (CRA) sequence and the Strategic Instruction Model (SIM) has been effective in several studies. More evidence is needed to demonstrate CRA-SIM's effectiveness across settings and students. Therefore, the purpose of this study was to…

Secondary schools are implementing response to intervention (RtI) for mathematics but with limited research or guidelines. This study addresses the shortage of research regarding RtI in mathematics for secondary schools through the exploration of the effect of a Tier 2 math lab on the mathematical performance of seventh-grade students across one…

In the Arab region, several assessments are available to evaluate student skills in mathematical computations. However, none of them uses formative evaluation to guide universal screening of struggling learners or students with learning disability (LD). The current study aimed to develop mathematical computation curriculum-based measurement…

In this study, a description is provided for the development of two undergraduate students' geometric reasoning about the derivative of a complex-valued function with the aid of "Geometer's Sketchpad" ("GSP") during an interview sequence designed to help them characterize the derivative geometrically. Specifically, a particular…

The purpose of this study was to examine kindergarten children's motivation choice after successfully completing a mathematical task. Three succeeding measurements took place in two-week intervals. In each measurement a different choice dyad was presented to participating children. After the successful completion of a mathematical activity,…

Can instructional quality be measured using TIMSS items on how often certain instructional practices are used in the mathematics classroom? We focused on three instructional practices that have been the topics of longstanding debates in the educational literature: memorizing formulas, listening to the teacher, and relating mathematics to daily…

The purpose of this study is to determine the effects of metacognitive strategies and content-specific feedback on student achievement in high school mathematics. Participants consisted of a convenience sample of students in honors geometry. An analysis of variance with repeated measures was employed to address the research questions. For both the…

Understanding fractions has been a pervasively difficult skill for struggling math learners, yet it is essential for success in secondary level mathematics skills. The present systematic review examined the evidence base of fraction interventions for elementary level students identified as struggling math learners. Twelve studies met inclusion…

The purpose of this study was to examine middle school students' proportional reasoning, solution strategies and difficulties in real life contexts in the domain of geometry and measurement. The underlying reasons of the difficulties were investigated as well. Mixed research design was adopted for the aims of the study by collecting data through…

The purpose of this study was to investigate the psychometric characteristics of the Math Anxiety Scale (MANX; Erol 1989, Unpublished master thesis, Bogazici University) with data collected from 952 middle school students in Turkey. The Rasch Rating Scale model was used to examine the MANX at the item level. The results revealed that although the…

The desire to understand our questioning practices as relational led us to use collaborative self-study to construct images of our questioning practice within our mathematics teacher education practices. In a prior exploration of written feedback we had begun to consider how our practices supported relationships with preservice teachers. As a…