Elementary school students often exhibit a variety of conceptions associated with algebraic thinking that their teachers fail to recognize or understand. It is crucial that elementary school teachers possess knowledge of the variety of student conceptions and also have abilities to address varying states of conceptions. Otherwise, students who are…

The purpose of this research study was to understand how mathematics majors make sense of similar matrices, a linear algebra topic that is rich in internal and external connections, in a series of in-depth qualitative interviews in a technology-assisted (MATLAB) learning environment. The study was also an attempt to develop a cognitive theory in…

We present a short-term class project used in an introductory linear algebra course, designed to engage students in matrix algebra. In this activity, students responded to a survey of their pop culture tastes. Using the survey responses, they worked to design a series of matching algorithms, using matrices, with the goal of matching the students…

Rich mathematical modeling activities are crucial to giving students agency and making mathematics meaningful. Proportional reasoning and transitional algebraic reasoning are the primary topics in the prealgebra curriculum, so a need exists for meaningful modeling activities using proportional reasoning in addition to geometric modeling. In…

This dissertation study aims to understand the instructional interactions that foster students' generalizing. By analyzing video recorded lessons from 13 different Grade 3 classrooms in which an early algebra intervention is being implemented, activities related to generalizing and students' generalizing activities were identified, and the nature…

The study endeavored to determine if teaching test-taking strategies had an impact on the students' performance on the ACT science subsection exam. Students received test-taking strategies instruction for the ACT science subsection exam. Students were administered a pre-and post-test, confidence survey, and strategies ranking list. The study also…

This report examines the outcomes of the in-class summer programs operated in Miami-Dade County Public Schools (M-DCPS). The Summer Programs, offered to provide supplemental instruction for students in need of remediation, are comprised of Literacy for Rising 3rd Grade Students, Algebra I End-of-Course (EOC) remediation, and Course Recovery. Not…

The traditional technique for converting repeating decimals to common fractions can be found in nearly every algebra textbook that has been published, as well as in many precalculus texts. However, students generally encounter repeating decimal numerals earlier than high school when they study rational numbers in prealgebra classes. Therefore, how…

The current research around the Fibonacci's and Lucas' sequence evidences the scientific vigor of both mathematical models that continue to inspire and provide numerous specializations and generalizations, especially from the sixties. One of the current of research and investigations around the Generalized Sequence of Lucas, involves it's…

Teachers' negative experiences can be detrimental to how they teach math because their beliefs about mathematics affect how they see themselves, their instructional practices, and the level of appropriate mathematics activities offered in their classrooms. Research has shown that there are many classrooms where appropriate activities are happening…

The literature shows that the integration of technological tools, like "GeoGebra," has the potential to improve the teaching and learning of mathematics. The aim of this study was to see whether "GeoGebra" could be used to address identified, systematic misconceptions that National Certificate Vocational (NCV) students hold…

Professional development schools (PDS), a specific type of school-university partnership, offer distinctive learning environments for teachers by encouraging innovation and modeling best instructional practices. In PDS partnerships, opportunities abound for teachers to assume learning-focused leadership roles such as team lead, instructional…

Many students with Learning Disabilities (LD) experience low motivation and confidence in algebra as a result of the content challenges and the lack of mathematics success they have experienced previously (Kortering, de Bettencourt, & Braziel, 2005). The combination of multiple content deficits, an ongoing lack of success, and low motivation…

The utilization of mathematical software offers numerous points of interest to students, which are fundamentals in the teaching-learning process in the four corners of the classroom. The study determined the effects of Mathcad as an instructional and a computational tool in teaching College Algebra to the Education students in the University of…

Scholars propose that contextual problems can be used to ground students' understanding of mathematical ideas, and recent curricular trends have resulted in a plethora of resources that introduce and develop new mathematical ideas through contextual problems (CPs). Given the tension between this approach and the traditional role of CPs as…