We analyze the process of constructing a definition within the theoretical framework of "Abstraction in Context." Pairs of students were engaged in a task designed to engender a need for a definition of a tangent to a graph at a given point, and lead to constructing a definition following that need. The results of our analysis point to…

How students' rigid perceptions of mathematics persist over years has been a conundrum. Students not only think that only one solution exists for a mathematical task (Schoenfeld 1985) but also rigidly fuse mathematical concepts with specific tasks. Students deserve to learn a variety of mathematical strategies to flexibly deploy at will. Teaching…

The motivation behind this examination is to present the theoretical structure of Modeling Activities, which is believed to be a vital device for mathematics instruction. Modeling activities are defined as activities to figure out complex problems faced in real life situations that require the creation of a mathematical model as a product. In…

Instruction geared toward priming the underlying problem structures was suggested as an evidence-based practice for students with a learning disability. Schema-based instruction is one intervention aligned with this principle. We extended prior work by: (1) using a teacher as the implementer; (2) providing teacher flexibility in intervention…

In many educational systems, textbooks are a leading factor for daily instructional practices, and consequently may affect educational outcomes. Whereas in many countries textbook assessment is a common practice in light of evaluating and improving educational effectiveness, in other countries these practices are absent, mainly under the realm of…

Although it is common for researchers to assess implementation fidelity (IF) within the context of math intervention, IF assessments are often restricted to intervention adherence. Further, the degree to which IF influences observed outcomes is commonly ignored. The current study examined the relationship between three aspects of IF and the math…

Many school psychologists work in schools that have low proficiency rates on the year-end test of mathematics, which is concerning because math proficiency is a powerful indicator of long-term academic success. Addressing math instructional problems is not easy work. One reason the authors examine is that the work is so challenging for school…

One of the most intransigent problems in mathematics education is the culturally-influenced divide between classroom practice and educational research. This paper describes our explicit attempt to bridge that divide by translating research on instructional practices linked to improving students' mathematics achievement into a brief guide outlining…

Cognitive Load Theory's Four Component Instructional Design (4C/ID) Model has been used in mathematics education but not confirmed as an instructional theory. Using the Factors Influencing College Success in Mathematics (FICSMath) project and confirmatory factor equation modeling, we empirically validated the model and created the 4C/IDMath Model.…

This action research study examined the effects of review games using Kahoot! on students' quiz scores as well as student engagement. The study was conducted in a high school geometry classroom at Tiyan High School (THS) in Barrigada, Guam. This study consisted of a sample size of 42 students in the 10th through the 12th grade. The data collected…

Calculus is typically one of the first college courses encountered by science, technology, engineering, and mathematics (STEM) majors. Calculus often presents major challenges affecting STEM student persistence, particularly for students from groups historically underrepresented in STEM. For life sciences majors, calculus courses may not offer…

In this article, we analyze symbolic and non-symbolic numerical abilities of parents in order to understand whether these are predictors of children's numerical skills, considering basic symbolic, non-symbolic, and formal math skills (i.e., written calculation). A battery of cognitive and math tasks was administered to a sample of 83 children with…

As higher education institutions focus on increasing mathematics success, it is important to consider the experiences and needs of structurally disadvantaged identities. In this article, an asset-based framework was used to examine how eight first-generation, low-income, Students of Color perceive their mathematics placement experience. Although…

in this paper we focus on the link between the use of dynamic geometry software and student understanding for the solution of systems of linear equations from an instrumental genesis perspective. Three task-based interviews were conducted with an undergraduate linear algebra student majoring in mathematics education and proficient in using dynamic…

This study examines the effect of the flipped learning approach on academic achievement based on science and mathematics education fields with the meta-analysis method. For this purpose, including the different uses of the flipped learning approach in the literature; "Science Education & Academic Success & Flipped Classroom,"…