Solving problems involving absolute value is one of the hardest topics for students learning in elementary algebra course. This is an important topic in student's mathematics life since absolute value functions are important example of a function which is continuous on the real line but not differentiable at the origin. A deep understanding of…

This research shares progressions in thinking about equations and the equal sign observed in ten students who took part in an early algebra classroom intervention across Kindergarten and first grade. We report on data from task-based interviews conducted prior to the intervention and at the conclusion of each school year that elicited students'…

This paper reports on one aspect of a bigger project: teachers' design of instructional materials. We found a number of design moves used by the teachers in our study. In this paper, we report three of them: Making things explicit, making connections, and resequencing practice examples. [This paper is the fourth in a symposium of four papers. For…

Research has shown the majority of students who have completed a university calculus course reason about the definite integral primarily in terms of prototypical imagery or in purely algorithmic and non-quantitative ways. This dissertation draws on the framework of Emergent Quantitative Models to identify how calculus students might develop a…

This dissertation study investigated the efficacy of a multi-component intervention package delivered via an online learning tool on math fluency for prerequisite algebra skills for three 6th-grade students. Students were referred by their math teacher due to concerns with academic performance. Target skills were individualized for each student…

This single case study investigated the implementation of a modularized mathematics course designed to eliminate the usage of remedial mathematics courses from post-secondary mathematics curricula. The literature review revealed that introductory college level mathematics success and student retention rates in post-secondary schools was…

The purpose of this case study was to examine one school district's 8th grade mathematics teachers' perceptions, analysis of, and use of their own students' formative interim data. Research has shown that teachers have difficulty with data literacy, and are not getting the trainings they need. Unfortunately, this may arise from the fact that a…

Given the well-documented relation between executive functioning (EF) and math skills in preschool, there is a surprising lack of evidence on early intervention approaches that have successfully, and consistently, impacted both EF and math skills. To confront this gap in the literature, Study 1 explored why an established EF intervention impacted…

We examined the math facts fluency growth of students receiving explicit timing practice in either a massed, short-distributed, or long-distributed fashion. In a repeated-measures group design, 50 mid-western 3rd grade students completed four one-minute math probes each day for 20 days. Hierarchical linear modeling revealed that students who…

Teaching effectiveness is a core issue in educational research; however, there is little consensus about the most important results of classroom teaching from an international perspective. The effectiveness of teaching has remained a 'black box' for a long time. In the secondary study described in this paper we used empirical data for Shanghai…

The positive effect of peer assessment and self-assessment strategies on learners' performance has been widely confirmed in experimental or quasi-experimental studies. However, whether peer and self-assessment within everyday mathematics teaching affect student learning and achievement, has rarely been studied. This study aimed to determine with…

Literacy ability is an individual's ability to reason, formulate, solve, and interpret mathematically to solve problems related to daily life. Executive function is a cognitive aspect that has a relation with mathematical literacy. One of some aspects that affects the low mathematical literacy ability is the aspect of executive function. This…

Music and math are related in that 1) they both rely on the basic understanding of numbers, proportions, intervals, measurements, and operations and 2) both require levels of abstract thinking and symbolic notation. Studies link music and math by examining, for example, how music may play a role in math performance. There are, however, few studies…

States and broad-access colleges are rapidly scaling corequisite coursework--a model where students concurrently enroll in college-level and developmental coursework--in response to dismal completion rates in traditional "developmental" sequences. At community colleges, evidence suggests that corequisite reforms can dramatically improve…

This article discusses the findings of a case study that explored the use of explanatory talk in mathematics teacher education lessons on how to teach the concept of place value. The Mathematics Discourse in Instruction framework guided the study, in particular the element of naming in explanatory talk. Three teacher educators' lessons on the…