Responding constructively to unexpected events during a lesson is a particularly challenging facet of teaching. This study aimed to investigate how a secondary school mathematics teacher responded to learners' unexpected or unplanned offers in the teaching of algebra. A total of three sequential lessons were video recorded and the quality of the…

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 program focused on improving mathematics content and pedagogy for fifth-grade teachers, including regular classroom teachers and exceptional education teachers, as they implemented the Common Core State Standards (CCSS) for Mathematics. Concentrating work with a single grade allowed for tightening breadth while increasing depth of content.…

Science, technology, engineering and math (STEM) oriented schools are being formed to provide 21st century learning opportunities for students. After going through an exhaustive evaluation period schools are being recognized as STEM schools. The number of these schools is increasing every year. Education agencies provide professional development…

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…

Introductory mathematics courses at postsecondary institutions simultaneously function as gateways and gatekeepers to degrees and careers in Science, Technology, Engineering, and Mathematics (STEM) for historically minoritized and marginalized students. While these courses provide access to higher education, they also thwart student STEM pathways…

This study evaluated the effects of the "Super Solvers" Tier II fraction intervention program on the algebra and fraction skills of secondary students with mathematics learning disabilities and consistent low achievement in mathematics. A quasi-experimental group design was used to evaluate the performance of the treatment and control…

The purpose of this quantitative, causal-comparative study was to determine if and to what extent there was a statistically significant difference in students' Algebra I or Algebra II AzMERIT standardized proficiency rates in non-charter public high schools that implement digital curriculum compared versus those that implement traditional…

Abstract algebra has been identified as an important course for preservice secondary mathematics teachers because much of the abstract algebra content is connected to, and thus relevant for, secondary mathematics teaching (Wasserman et al., 2017). However, many preservice teachers do not recognize the usefulness of an undergraduate abstract…

Tensor calculus is critical in the study of the vector calculus of the surface of a body. Indeed, tensor calculus is a natural step-up for vector calculus. This paper presents some pitfalls of a traditional course in vector calculus in transitioning to tensor calculus. We show how a deeper emphasis on traditional topics such as the Jacobian can…

Projectile motion is a constant theme in introductory-physics courses. It is often used to illustrate the application of differential and integral calculus. While most of the problems used for this purpose, such as maximizing the range, are kept at a fairly elementary level, some, such as determining the safe domain, involve not so elementary…

Imagine a math classroom that recognizes the power of mathematics and uses it as a tool to understand the world so that the mathematics can enjoin a larger conversation. What is it like to live on a minimum wage? How is wealth distributed throughout the country or world? When will a country first experience a shortage of food? Mathematics…

As states and districts seek to elevate learning and prepare more students for work in the digital future, they have not only a unique opportunity, but also an urgent imperative, to redesign high school math. This report examines an array of education policies that exert considerable influence on the math students learn and when they learn it,…

The extent to which differences were present for African American girls as a function of their economic status in their performance on the Texas state-mandated Algebra I End-of-Course exam was examined. Specifically addressed was the extent to which African American girls differed in their performance on three Grade Level performance standards:…