Authentic practice in pedagogical approaches is essential for preparing teachers to design effective learning experiences that foster student engagement during this digital era. There is an opportunity to explore novel and effective designs of virtual experiences that may augment or better prepare preservice teachers for field placements in…

In this paper I analyze a problem solving event in a secondary mathematics classroom. As the event unfolds, the teachers, including me, understand the event as involving interactions that were not related to learning. By adopting an expansive view of learning, I advance a different interpretation, that the interactions tell a story of student…

The widely used Draw a Scientist Test was revised to focus on statistics and 110 Elementary Statistics students were asked to draw a statistician. In addition, to better understand students' drawings and have some relative comparison, 173 College Algebra students were asked to draw a mathematician. A detailed analysis of students' images and…

The term engagement appears in teacher effectiveness models as well as state and federal legislation, including the most recent reauthorization of the Elementary and Secondary Schools Act of 1965 (ESEA), known as the Every Student Succeeds Act (ESSA), enacted in 2015. Legislators and administrators have charged teachers with engaging all students…

New educational technologies that utilize students' interaction data and visualizations provide a means to expand our understanding of learning processes. In this study, we apply two advanced and novel data visualization techniques, called the "Indivisualizer" and a "Sankey diagram," to explore how middle school students (N =…

New educational technologies that utilize students' interaction data and visualizations provide a means to expand our understanding of learning processes. In this study, we apply two advanced and novel data visualization techniques, called the "Indivisualizer" and a "Sankey diagram," to explore how middle school students (N =…

Evidence-based instructional strategies in mathematics provide critical support related to academic achievement for students with disabilities. Data from national achievement assessments suggest that students with disabilities' academic growth in mathematics stagnates at the secondary level. Given that the majority of previously researched…

This mixed methods experimental study examined the impacts of the Early College High School model on students' college readiness in mathematics measured by their success in college preparatory mathematics courses in the 9th through 11th grades, and disaggregated for academically prepared and underprepared students. This study looked at the…

This extensively updated teaching resource provides over 100 engaging, full-color visuals with explanations of how they can be used to stimulate mathematics learning, to explain mathematical concepts, and to assess students' mathematical understanding in grades K-8. Readers are provided with a strong mathematical background, downloadable copies of…

This edited volume gathers contributions from international scholars focusing on social media's role and impact on mathematics education. Social media's integration into pedagogical strategies (from social networking sites to video-sharing platforms) offers the opportunity to enhance learning by fostering connectivity and engagement among…

As states and districts seek to elevate learning and prepare more students for work in the digital future, they have not only a unique opportunity, but also an urgent imperative, to redesign high school math. This report examines an array of education policies that exert considerable influence on the math students learn and when they learn it,…

The extent to which differences were present for African American girls as a function of their economic status in their performance on the Texas state-mandated Algebra I End-of-Course exam was examined. Specifically addressed was the extent to which African American girls differed in their performance on three Grade Level performance standards:…

This qualitative case study explored perceptions of learning support and student success, particularly for students of color who had enrolled in a college algebra course. The purpose of this study was primarily to include student voices in the conversations about student success. The study uses a qualitative case study approach in two ways: (1) to…

Making connections within and between different aspects of mathematics is recognised as fundamental to learning mathematics with understanding. However, exactly what these connections are and how they serve the goal of learning mathematics is rarely made explicit in curriculum documents with the result that mathematics tends to be presented as a…

The authors describe working with partner disciplines during the process of updating mathematics courses for the general education quantitative literacy requirement. The conversations resulted in significant changes to the business calculus course and a rich listing of applications to be incorporated into the college algebra course from technical…