Background/Context: As part of a national movement to eliminate a global tracking system that disproportionately assigned underserved students to low-level math classes, the Chicago Public Schools (CPS) mandated academic algebra for all students entering high school in 1997. The results were disappointing: low-skill students experienced elevated…

We conducted a quantitative analysis to determine how the prerequisite path of students taking calculus I impacts their grade performance. We began by investigating the performance of students that took college algebra and trigonometry versus those that took pre-calculus ahead of their credit-bearing calculus I attempt. We concluded that there was…

Mathematical aptitude in the United States has been a concern over the past few decades, not only from an international perspective but from a student proficiency perspective. This phenomenon is also further negatively impacted due to COVID-19 associated learning loss. Correspondingly, there are calls for students to develop entrepreneurial skills…

The purpose of this resource is to help math teachers unpack, understand, and implement the current math content and practice standards. It describes the progressions of learning within each course and provides content supports that include broad ideas about effective instruction as well as practical instructional strategies. Math teachers,…

The authors describe their approach to teaching a course on finite fields and combinatorial applications, including block designs and error-correcting codes, using a hybrid of lectures and active learning. Under the discussed classroom model, there are two lecture days and two discovery-based discussion days each week. Discussions center around…

Many tertiary institutions with mathematics programmes offer introduction to proof courses to ease mathematics students' transition from primarily calculation-based courses like Calculus and differential equations to proof-centred courses like real analysis and number theory. However, unlike most tertiary mathematics courses, whose mathematical…

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 School of Engineering of the Polytechnic of Porto (ISEP) has embraced the DrIVE-MATH project, since September 2017. Active-learning (AL) techniques were implemented in several Math courses, namely Linear Algebra and Analytic Geometry, Probability and Statistics, Statistical Models, Computational Mathematics, and Differential and Integral…

The Evaluating the Quality of Instruction in Post-secondary Mathematics (EQIPM) is a 14-item instrument that uses videos of teaching to investigate the quality of instruction in college algebra courses taught at community colleges. We hypothesize that quality of instruction can be characterized along three distinct factors, the interactions…

This report uses Spring 2022 data from nationally representative surveys of principals and math teachers in kindergarten through grade 12 (K-12) to explore students' opportunities to prepare for and take advanced math. The authors found that small high schools, high schools in rural areas, and high schools that predominantly serve students from…

A faculty development workshop, focused on incorporating universal learning strategies into developmental mathematics courses, was created and utilized in a developmental mathematics department at an open-enrollment, mid-western university to ascertain the best methods for dissemination of essential learning strategies to developmental math…

We describe the design and implementation of lessons in undergraduate abstract algebra that integrate applications to teaching high school mathematics. Each lesson consists of a pre-activity, class activity, homework set, assessment questions and detailed instructor notes. The included applications intend to bridge advanced mathematics concepts to…

This brief utilizes data from the U.S. Trends in International Mathematics and Science Study of 2011 (TIMSS) to investigate the extent to which teacher reports of content coverage in eighth grade algebra classes vary according to school racial/ethnic composition. The analytic sample is comprised of eighth grade algebra classrooms in 111 schools…

We describe here lessons learned in designing an early algebra curriculum to measure early algebra's impact on children's algebra readiness for middle grades. The curriculum was developed to supplement regular mathematics instruction in Grades K-5. Lessons learned centered around the importance of several key factors, including using conceptual…

Informed by Gagne's belief in the necessity of prerequisite knowledge for new learning, and Bruner's Spiral Curriculum Theory, the objective of this case study was to explore the postsecondary pathway from remedial mathematics, through one gateway mathematics course, and into the quantitative literacy requirements of various non-STEM programs of…