Adaptive tutoring systems often model student knowledge in ways that break away from a "one size fits all" approach to learning. Nonetheless, the strengths of these systems can often be limited, as knowledge representations are not easily interpreted by teachers, which make these systems difficult to integrate into pedagogical practices.…

The objective of this action research project was to better understand the impact of flipped learning on fourth grade math students in a socioeconomically disadvantaged setting. A flipped instructional model was implemented with the group of students enrolled in the researcher's class. Data was collected in the form of classroom observations,…

This study involved empirical investigation of a moves-based conceptualization of teacher practices of planning, enacting, and reflecting on formative assessment (FA) in mathematics classrooms in a high-needs school district in California. A qualitative case study of six middle school mathematics teachers' practices of "posing"…

This study explored the relationship between math anxiety and perceived self-efficacy for teaching mathematics in preschool teachers. Perceptions of and attributions for the teachers' perceived math anxiety and perceived self-efficacy for teaching mathematics were also explored. The study employed a mixed-method design consisting of both…

This mixed-methods study couples large-scale analyses of student course-taking with case study data to explore what blocks the gate to enrollment in and successful completion of secondary math courses for students ever classified as English learners (ever ELs). Initial quantitative findings indicate that half of all students across six California…

Lesson study, a teacher-led vehicle for inquiring into teacher practice through creating, enacting, and reflecting on collaboratively designed research lessons, has been shown to improve mathematics teacher practice in the United States, such as improving knowledge about mathematics, changing teacher practice, and developing communities of…

This article explores how place matters in public school reform efforts intended to promote more equitable opportunities and outcomes. Qualitative case studies of three California middle schools' eighth grade math reforms and the resulting opportunities for Latino English learners are presented, using the conceptual frameworks of critical human…

Despite increases in overall academic achievement, African American males continue to struggle in the area of mathematics. Data from the National Assessment of Educational Progress (NAEP) indicates that eighth grade African American males had the lowest levels of mathematics success of all subgroups in 2013, with only 13% performing at or above…

Students' development of conceptual understandings is a central goal of mathematics education (CCSS-Mathematics, 2010). Such a challenging, yet ambiguous, goal cannot be achieved without empowering teachers with the knowledge and tools critical for their ability to adequately convey the content, and assess and interpret students' performance. This…

Design-Based Implementation Research is the process of engaging "learning scientists, policy researchers, and practitioners in a model of collaborative, iterative, and systematic research and development" designed to address persistent problems of teaching and learning. Addressing persistent problems of teaching and learning requires…

Flipped learning is gaining traction in K-12 for enhancing students' problem-solving skills at an early age; however, there is relatively little large-scale research showing its effectiveness in promoting better learning outcomes in higher education, especially in mathematics classes. In this study, we examined the data compiled from both…

Minority students at risk for math difficulties (MD) struggle with word problems for various reasons beyond procedural or calculation challenges. As a result, these students require support in reading and language development in addition to math. The purpose of this study was to assess the effectiveness of a math comprehension strategy based on a…

The Dynabook research project was a collaborative effort aimed at developing and evaluating a new interactive Web-based resource for use in teacher education to improve how teachers learn to teach middle-school mathematics. This paper describes the outcomes of research during a three-year project to develop and evaluate the effectiveness of the…

This article reports on students' problem-solving approaches across three representations--number lines, coordinate planes, and function graphs--the axes of which conventional mathematics treats in terms of consistent geometric and numeric coordinations. I consider these representations to be a part of a "hierarchical representational…

The Common Core State Standards in Mathematics (CCSSM) represent a major attempt in a long line of attempts to reform the American Education system surrounding Mathematics. These standards aim to establish a nationwide set of curriculum, seeking to ensure equity for all students in the U.S.A. Some of the standards included are new to all teachers…