This study examined "backward transfer," which we define as how students' ways of reasoning about previously encountered concepts are modified when learning about new concepts. We examined the backward transfer produced when students learned about quadratic functions. We were specifically interested in how backward transfer may vary for…

In this "Perspective on Practice," we describe an application of recommendations made in "Formative Assessment in Secondary ­Mathematics: Moving Theory to Recommendations for Evidence-Based Practice" (Kenney et al., 2022), which was recently published in this journal. The authors made recommendations for mathematics teacher…

The manuscript describes a community-based mathematical modeling task that was implemented in a Calculus I classroom to engage students in mathematical modeling. Twenty-five undergraduate students engaged in this activity. These students selected a context that they found interesting, posed questions, developed constraints, came up with solution…

Many researchers have debated potential differences between male and female students' mathematical performance. One important factor that can impact performance is perception of the content. The purpose of the study is to investigate factors that impact high-ability male and female students' perspectives of mathematics. Participants (n = 12;…

This study examines the perceptions of first-year, mathematics graduate teaching assistants (GTAs) participating in a six-week summer course designed to deepen their knowledge of collegiate mathematics teaching practices before being assigned to instruct undergraduate students in the subsequent fall semester. Through hybrid deductive-inductive…

In order to transform mathematics classrooms for students with disabilities, teachers must design based on learners at the margins. Universal Design for Learning (UDL) is a framework built on these principles (Meyer et al., 2014), but lacks a robust process through which educators can reimagine mathematics. We theorize that when educators merge…

Eleven high school students participated in a one-week STEM summer camp focused on designing and building parachutes to deliver fragile objects safely. Using the Engineering Design Process (EDP) as a framework, students explored how canopy size affects performance. They applied physics concepts such as terminal velocity, forces, and acceleration,…

We study an early effort amid the COVID-19 pandemic to develop new approaches to virtually serving students, supporting teachers, and promoting equity. This five-week, largely synchronous, summer program served 11,769 rising 4th-9th graders. "Mentor teachers" provided PD and videos of themselves teaching daily lessons to "partner…

The authors report on three students' argumentative knowledge construction in an asynchronous online graduate level geometry course designed for in-service secondary mathematics (ISM) teachers. Using Weinberger and Fischer's framework, they analyzed the ISM teachers' (a) geometry autobiography and (b) discussion board posts (both comments and…

Two studies were conducted to examine and compare the construct validity of scores on the Junior Metacognition Awareness Inventory (JMAI) and problem-solving interview protocols. Participants consisted of 183 middle and high school students attending a university summer program for academically talented youth. Study 1 results indicated that JMAI…

This research study examined the perceptions of 24 parents of rising 5th-grade students with mathematics learning difficulties as part of a 10-week summer mathematics tutoring experience. During the summer tutoring program, parents observed their children participating in mathematics learning experiences during one-to-one tutoring sessions. At the…

Researchers have confirmed that students' motivation is one of the most important factors educators can target to improve learning (Williams & Williams, 2011). This study explored the role which student's motivation played in the retention of first-time, full-time freshman (FTFTF) STEM majors at University (U) (blinded). Student motivational…

The Common Core State Standards Initiative stresses the importance of developing a geometric and algebraic understanding of complex numbers in their different forms (i.e., Cartesian, polar and exponential). Unfortunately, most high school textbooks do not offer such explanations much less exercises that encourage students to bridge geometric and…

This study investigated whether a four-week intensive professional development workshop for math teachers was effective in improving their knowledge and skills of mathematics concepts and technology, as well as improving their attitudes toward integrating technology into teaching math. Instruments for data collection included a pre- and post- test…

This mixed methods study examined the impacts of digital fabrication activities that were integrated into contextualized mathematics education. The study investigated the students' mathematics content knowledge and attitudes. Data analysis yielded two key findings regarding our intervention combined with the other mathematics activities resulted…