High school math projects center on solving real-world examples in a wide variety of situations that require a creative skill set. Creativity in high school mathematics takes place in a subtle form. In contrast, creativity presents itself conspicuously in art. Therefore, this paper will explore the utilization of polynomial equations in drawing…

English learners with disabilities graduate from high school at lower rates than non-disabled, non-minority peers. These students face complex learning and performance challenges because of their learning disabilities and lack of English proficiency. The qualitative research question addressed how ten adult alternative high school English learners…

Providing students with opportunities to build, and test and revise ideas, can help them develop critical thinking and problem-solving skills. In this article, the authors describe how core measurement and geometry concepts were embedded within a "Model It!" task. They replicate an industry-based, interdisciplinary problem, but only…

An understanding of the equal sign is a fundamental concept for early algebra. While literature claimed that Chinese students commonly master the relational understanding of the equal sign in the elementary school, these claims are under-researched. This study used the Mathematics Equivalence Assessment with 237 Chinese Grade 5 students. The…

This keynote address explores the history and role of college math requirements with a focus on ensuring math courses serve to expand students' horizons, rather than serve as gatekeepers. It discusses the advent of general education math courses, which brought more students into math departments, which ultimately contributed to broadening the…

Using learning objectives to guide course design is often considered an educational best practice, but little research exists that explores how students use them over time and across courses. We surveyed students on their use and perceived value of learning objectives as the semester progressed across four science, technology, engineering, and…

Mathematical problem posing, or authoring mathematical tasks, can allow students to integrate their interests and experiences into the classroom. Little research has explored different designs for scaffolding or facets of posed problem quality, particularly when problem posing is based on students' interests. We created an environment that enabled…

Productive engagement in fractional reasoning is essential for abstracting fundamental algebraic concepts vital to college and career success. Yet, data suggest students with learning disabilities (LDs), in particular, display pervasive shortfalls in learning and mastering fraction content. We argue that shortfalls in understanding are in fact…

We use the Survey of Thermodynamic Processes and First and Second Laws-Long, a research-based survey instrument with 78 items at the level of introductory physics, to investigate introductory and advanced students' difficulties with internal energy, work, and heat transfer. We present analysis of data from 12 different introductory and advanced…

To meet statewide graduation requirements and receive a diploma, Pennsylvania high school students now need to demonstrate career or postsecondary preparedness through graduation requirements outlined in Pennsylvania's Act 158, which went into effect starting with the Class of 2023. Two of the five graduation pathways--the Keystone proficiency and…

This study explored the potential connections between secondary in-service (ISTs) and preservice (PSTs) mathematics teachers' anticipations and their noticing of student thinking in technology-mediated learning environments, a topic with limited prior research. Specifically, the study examined how teachers (ISTs and PSTs) anticipate student…

Metacognitive information has been shown to be related to performance in learning tasks. We investigated feelings of difficulty (FOD) in the context of university-level mathematics and asked whether and to what extent they predict performance. To this end, we conducted an experiment with 90 students and six experienced lecturers. We carefully…

The gold-standard evaluation of an educational technology product is a randomized study comparing students randomized to use a computer-based learning platform (CBLP) to students assigned to a "business as usual" condition, such as pencil-and-paper work, and estimating average treatment effects. However, not everyone uses the same CBLP…

This study compares the costs of a school-based online credit recovery model to more traditional teacher-directed credit recovery using rigorous cost analysis methods. Findings indicate that differences in the comprehensive costs for online and teacher-directed credit recovery classes are small. However, cost differences across the two models of…

This article describes how the authors developed the activity Speaqual to enable their students to "speak" about the "equal" sign and foster communication of their reasoning. The article explains how to play Speaqual and how the students were thoroughly engaged in a friendly competition, centralizing algebraic concepts and…