The Department of Mathematics and Computer Science at Adelphi University engaged in a year-long program revision of its mathematics major, which was initiated by a longitudinal study and the publication of the 2015 Curriculum Guide by the MAA's Committee on Undergraduate Programs in Mathematics. This paper stands as a short story, so to speak, of…

The purpose of this work is to explore alternative geometric pedagogical perspectives concerning justifications to 'fast' multiplication algorithms in a way that fosters opportunities for skill and understanding within younger, or less algebraically inclined, learners. Drawing on a visual strategy to justify these algorithms creates pedagogical…

Productive failure has shown positive effects on conceptual and transfer measures, but no clear effects on procedural measures. It is therefore an open question whether, and to what extent, productive failure methods may be used to enhance the learning of procedural skills. A typical productive failure study focuses on a single, complex concept;…

The researcher conducted a qualitative case study of two sessions of a preservice teacher tutoring a student with a learning disability on Algebra 1 content. In this study, the focus was the tutor's use of gestures overlaid on the students' offloaded work on paper to help the student make sense of the problems. The student also demonstrated how…

This study aims to find out the dominant factors that cause students' difficulties in learning abstract algebra. The factors investigated in this study focused on attitude, motivation, prior knowledge, lecturer performance, learning methods, as well as teaching materials. This study is a descriptive research using a survey method. We involved 30…

The appropriateness of guess and check as a problem-solving strategy has been debated. This qualitative study examines the use of guess and check by middle-grades students to solve linear systems of equations. Students' reasoning is examined within the number sequences framework, which is based in part on students' units coordination. Only…

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…