Habermas' construct of rationality is a tool adapted from social sciences into mathematics education to identify the difficulties in the proving process and to plan the teaching of proof for reducing these difficulties. According to Habermas, people engaged in an activity/action are considered to "act rationally" if they choose and use…

The use of student-centered practices is influenced by several factors (Peterson et al., 1989). Specifically self-efficacy has been shown to influence teachers' self-reported teaching practices (Hadley & Dorward, 2011; Peterson et al., 1989; Skaalvik & Skaalvik, 2007). The purpose of this study was to determine possible relationships among…

Multiplication fluency math interventions are utilized in elementary schools, but a dearth in scholarship exists on the effects of these interventions on fifth grade math students' performance and final grades. This scholarship gap may have an adverse effect on informing administrators and educators on best practices in helping fifth grade math…

The results of this study revealed students' solution strategies progressed from inefficient strategies e.g., counting on fingers to more efficient strategies with mathematical connections. These findings should enable educators to gain more insight to use Number Talks to help student develop computational fluency with numbers.

This study applies Indigenous Oral Research Methods to amplify the voice and story of math educators working within Indigenous communities. Publicly posted podcast interviews with five participants of the Fire Circles Professional Development were used to disseminate their experiences and views of professional development programs that they had…

Over the last several centuries, mathematicians have developed sophisticated symbol systems to represent ideas often imperceptible to their five senses. Although conventional definitions exist for these notations, individuals attribute their personalized meanings to these symbols during their mathematical activities. In some instances, students…

In this report we show an investigation of how high-school students learn strategies to find intermediate numbers in an interval to understand the property of numerical density. Research has shown that some high-school students have difficulty in understanding this property. To mitigate this difficulty, we proposed a Hypothetical Learning…

In this study, I present how eight U.S. college calculus instructors with different patterns of inquiry practices used instructional situations to frame instructional tasks for introducing derivatives graphically to students. During four interviews, the instructors proposed up to eight tasks for introducing derivatives physically, graphically,…

The purpose of this action research study was to develop and implement common formative assessments for mathematics teachers to inform instructional practices. To address the purpose of this action research study, the following research questions guided this study: 1. How can the district instructional leadership team support professional learning…

The typical collegiate introductory statistics course poses significant challenges for students. Many do not fully comprehend key course skills, and it is common for students to exit the class with a neutral or negative attitude toward statistics. To measure the impact of using relevant contextual examples as an instructional strategy during a…

The typical collegiate introductory statistics course poses significant challenges for students. Many do not fully comprehend key course skills, and it is common for students to exit the class with a neutral or negative attitude toward statistics. To measure the impact of using relevant contextual examples as an instructional strategy during a…

Exploring non-Euclidean geometries is a common way for College Geometry instructors to highlight subtleties in Euclidean geometry. The concept of congruence, going undefined or informally defined in multiple axiomatic systems, is particularly susceptible to conflation with the idea of "same measure." Taxicab geometry provides a context…

When students are learning to use math in physics, one of the most important ideas they need to learn is that equations are not just calculational tools; they represent relationships between physical variables that change together (co-vary). How much a change in one variable or parameter is associated with a change in another depends on how they…

Even though students in the United States have varying access to an equitable education, education is commonly regarded as the greatest equalizer. The achievement gap impacts students such as African Americans, Hispanics, and other minorities. Addressing the achievement gap in mathematics and other content areas has grown more crucial as the…

To help alleviate the alarming performance of students in Mathematics, teachers are encouraged to devise different strategies to address the challenges of students in dealing with mathematics. This may include crafting learning materials such as Self-Directing Learning material. This kind of learning material is crucial in developing students'…