This study focuses on symbolic notations and its impact on students' achievement in Algebra. The main reason for this study rests on the observation from personal and professional experiences on students' increasing hatred for Algebra. One hundred and fifty (150) Senior Secondary School Students (SSS) from Ojo Local Education District, Ojo, Lagos,…

This study describes the mathematical construction of a real-life model by means of parametric equations, as well as the two- and three-dimensional visualization of the model using the software GeoGebra. The model was initially considered as "determining the parametric equation of the curve formed on a plane by the point of a pen, positioned…

Scores on state standards-based assessments are readily available and may be an appropriate alternative to traditional placement tests for assigning or accepting students into particular courses. Many community colleges do not require test scores for admissions purposes but do require some kind of placement scores for first-year English and math…

This study examined changes over time in implicit theories of intelligence and their relationships to help-seeking and academic performance. College algebra students completed questionnaires during the second week of classes and 2 weeks before the end of the semester (ns = 159 and 145, respectively; 61 students completed questionnaires at both…

Learning communities can strengthen early undergraduates' learning, but planning them can be daunting for instructors. Learning communities usually rely on integrative assignments that encourage interdisciplinary analysis. This article reports on our experiences using microloans as an interdisciplinary assignment in a learning community that…

Designers of interactive learning environments with a focus on word problem solving usually have to compromise between the amount of resolution paths that a user is allowed to follow and the quality of the feedback provided. We have built an intelligent tutoring system (ITS) that is able to both track the user's actions and provide adequate…

This paper describes the design of a mathematical microworld to tackle the persistent difficulties that secondary school students have with the idea of algebraic generalization, which is a key stumbling block in secondary-school mathematics classrooms. Our focus is to characterize algebraic ways of thinking and to design both affordances of the…

School systems continue to explore different ways to improve student achievement to meet the high expectations of preparing our students for a global community and market. For many years, educators have explored the use of time as an avenue for change to improve student scores on state end-of-course assessments. The purpose of this causal…

"Carnegie Learning Curricula and Cognitive Tutor"®, published by Carnegie Learning, is a secondary math curricula that offers textbooks and interactive software to provide individualized, self-paced instruction based on student needs. The program includes pre-Algebra, Algebra I, Algebra II, and Geometry, as well as a three-course series…

This study explored the development of early functional thinking in fifteen Kindergarten to Grade 2 students. As part of a teaching intervention that emphasized the co-variation between position numbers and number of items in each position of linear growing patterns, students were given a pre and post interview assessment to document their ability…

Exponential functions are important topic in school algebra and in higher mathematics, but research on students' thinking suggests that understanding exponential growth remains an instructional challenge. This paper reports the results of a small-scale teaching experiment with students who explored exponential functions in the context of two…

We report on some results from a multiyear development of new techniques and materials for teaching linear algebra. Our goals were to (a) to create a professional learning community across STEM disciplines, (b) to combine expertise in content and pedagogy in designing effective instructional practice, and (c) to use learning theories to support…

This study investigated the ways in which four K-12 teachers, following professional development in blended learning, designed the online portion of their blended learning courses and how these online components were ultimately enacted with students. Specifically, the study investigates what kind of content, resources, or activities were developed…

This study investigated the effects of applying mathematical modeling on revising students' preconception of the process of optimizing area enclosed by a string of a fixed length. A group of 28 high school pre-calculus students were immersed in modeling activity that included direct measurements, data collecting, and formulating algebraic…

This paper explores student interactions from the Virtual Math Teams-With-GeoGebra Project, a computer-supported collaborative learning environment that allows individuals to interact, collaborate, and discuss user-created dynamic mathematics objects. Previous studies of virtual math teams have focused on the coconstruction of a joint problem…