Learning progressions (LPs) have seen a growing interest in recent years due to their potential benefits in the development of formative assessments for classroom use. Using an LP as the backbone of an assessment can yield diagnostic classifications of students that can guide instruction and remediation. In operationalizing an LP, assessment items…

To succeed in mathematics middle-years' students must move from additive to multiplicative thinking and from arithmetic calculations to generalised algebraic strategies. If we ask the right questions this progression can be monitored and prompted through fraction tasks. Students' solution strategies for fraction tasks vary from a dependence on…

This memo includes results of data collection from the second cohort of Collaborative Partnership to Teach Mathematical Reasoning Through Computer Programming (CPR2) teachers from classroom implementation of CPR2 in fall 2021. Findings are included for the student pre-assessment, Student Computer Science Attitude Survey, and Learning Mathematics…

We report on a teaching experiment with pre-service teachers (PSTs) intended to support their understanding of the validity of mathematical arguments, and their ability to formulate mathematical arguments by conducting case analysis. PSTs used Toulmin's framework (1958/2003) and engaged in collective argumentation while solving crypto-arithmetic…

Although numerous studies have investigated how technology affects academic achievement, very few have focused on the purpose of the use of technology in mathematics education. This current study examines how student teachers (STs) benefit from GeoGebra as one of the Dynamic Geometry Software (DGS) while solving continuity problems. In order to…

On average, Florida students earn only half of the points possible in the statistics content area of the state's annual mathematics assessment. Leaders in Broward County Public Schools, a large, diverse, urban school district, viewed changes to statistics curriculum and instruction as one way to address this issue. This study randomly assigned 40…

Broward County Public Schools (BCPS) has identified low student achievement in statistics in the middle grades as a critical concern. It has also expressed concern that statistics instruction does not meet the level of cognitive complexity described in the state curriculum standards. This randomized controlled trial in 40 BCPS middle schools…

Blended learning models can help teachers leverage the power of technology to customize student learning and differentiate instruction for students at varying achievement levels. Research on the effectiveness of blended learning in K-12 education has largely relied on case studies, and findings suggest differences in achievement outcomes based on…

Engaging in argumentation can lead to an increase in the development of critical-thinking skills, not to mention academic achievement, emotional maturity, and academic and communication skills. If argumentation is such an effective format for developing rigorous academic ideas, how might it be used in discussion-oriented classrooms to engage…

Mandates to improve curriculum and instruction have failed to produce mathematically proficient students, with 40-60% needing remedial coursework in college, despite incorporation of technology. The SAMR (Substitution, Augmentation, Modification, Redefinition) model redirects technological focus away from specific technologies to how technology is…

Drawing upon task-based learning designs from second language acquisition, we critique how mathematics education has primarily conceived of tasks as problems to be solved. We extend the notion of communicative gaps (e.g., opinion and information) into a framework that considers the flows of information that tasks structure and facilitate. We then…

South Lee Middle School is a small, rural school with approximately 270 students located in north Mississippi. The central issue of concern at South Lee Middle School was low levels of student academic growth in mathematics according to state assessments. An informal preliminary analysis identified root causes of this concern as a lack of…

Proportionality can be considered among the most important mathematical notions in the middle school math curriculum (grades 5 to 8). It is the capstone of elementary arithmetic, number, and measurement concepts, and at the same time one of the most elementary understandings one needs for more advanced mathematics. Understanding proportionality is…

This study aims to identify effective affective states and behaviors of middle-school students' online mathematics learning in predicting their choices to study science, technology, engineering, and mathematics (STEM) in higher education based on a "positive-affect-to-success hypothesis." The dataset (591 students and 316,974 actions)…

This paper focuses on investigating whether the contents of 6th grade math lesson in the digital education platform (EBA) used in distance education in Turkey during the COVID-19 pandemic period are appropriate to the critical thinking standards. The contents of the math lesson, which are in the digital education platform (EBA) in 2020-2021…