Algebraic thinking and strategy flexibility are essential to advanced mathematical thinking. Early algebra instruction uses 'missing-operand' problems (e.g., x - 7 = 2) solvable via two typical strategies: (1) direct retrieval of arithmetic facts (e.g., 9 - 7 = 2) and (2) performance of the inverse operation (e.g., 2 + 7 = 9). The current study…

The goal of the paper is to understand to what degree the student success depends on teaching practices and materials, and to what degree it is due to differences in background, including prior knowledge, skills, preparation, abilities, etc. We analyzed the existing research on outcomes of the SAT and ACT in the United States and the Unified…

Despite progress toward gender equity, troubling disparities in mathematical problem-solving performance and related outcomes persist. To investigate why, we build on recurrent findings in previous studies to introduce a new construct, "bold problem solving," which involves approaching mathematics problems in inventive ways. We introduce…

When the author was first charged with getting a group of students to understand the correlation coefficient, he did not anticipate the topic would challenge his own understanding, let alone cause him to eventually question the very nature of mathematics itself. On the surface, the idea seemed straightforward, one that millions of students across…

Spearman concluded that performance on any test of mental ability could be explained by several cognitive factors organized hierarchically as one general factor and several subordinate specific factors (Spearman, 1904, 1927). The general factor accounted for the significant amount of inter-correlation between all ability tests for any one…

Decades after the 1954 "Brown v. Board of Education of Topeka" unanimous decision to desegregate schools, the ideology of Black people having equal educational opportunities has not been realized; Black people continue to lag in educational attainment. However, the inequalities in life experiences between Black and White people limit the…

This report examines the implementation of Summer 305, an enhanced summer program that operated from June 14 through August 5 during the summer of 2022 at 113 sites in Miami-Dade County Public Schools (M-DCPS). Twenty program offerings were provided to accelerate learning recovery, develop foundational skills, and address social and emotional…

In 2009 President Barack Obama signed into law the American Recovery and Reinvestment Act (Dragoset, et al., 2017). The Recovery Act served as the financial umbrella which helped to allocate $3 billion to fund School Improvement Grants to support states and school districts in championing original, innovative programs as well as to hire staff to…

Objectives: This study examines the effectiveness of interventions in first-year math courses in higher education. Our goal is to investigate the efficacy of a supplemental support requirement on the passing rates of students in their first-year math courses. Method: We gathered and analyzed data on 3,249 students using descriptive statistics and…

The purpose of this study was to assess the effect of flipping the classroom on final exam scores in a terminal general education college mathematics course for a diverse student population. We employed a quasiexperimental design. Seven instructors collectively taught 13 sections of each pedagogy (flipped/traditional). Six hundred thirty-two…

This quantitative research study considered three academic factors, seven student-level variables, and four success measures across ten years of academic data related to undergraduate remedial mathematics beginning with the 2009-2010 academic year and ending with the 2018-2019 academic year. Secondary data was used to determine if there was a…

Large foundational courses delivered in lecture halls are disadvantaged in eliciting participation from all students and maintaining engagement throughout the class session. We introduced a question-driven method facilitated by an audience response system, namely TopHat™, that allows the instructor to engage students in solving Calculus problems…

The Advanced Placement® (AP®) Program offers high school students the opportunity to take rigorous coursework in high school and receive college credit for AP Exam scores that meet or exceed the requirements of their attending institution. Students receiving AP credit are typically exempted from an introductory level course or series of courses…

This executive summary provides a brief overview of results from the full evaluation report, describing program outcomes for students in APIE's Middle School Math and College Readiness Coaching Programs in the 2017-2018 school year. [For the full report, see ED626455.]

The purpose of this quantitative study was to examine the ability of standardized test scores to predict the performance of students in first-year mathematics courses, and the extent to which these tests displayed differential validity among various subgroups. Using discriminant analysis, it was established that the following percentages of…