A small percent of high school students are performing above satisfactory on end-of-course assessments, especially in Algebra 1 and Geometry. This is indicative that mathematics instruction may need to improve. One innovation in mathematics instruction is the incorporation of storying as an instructional strategy, as there is considerable research…

Although research and policy documents provide recommendations to inform secondary mathematics teacher preparation, no single study has addressed the "big ideas" of courses in multiple programs and how those big ideas may be interpreted through the lens of recent research and policy documents. To answer this need, we focused on big ideas…

The research this report belongs to aims at exploring the functional reasoning of high-school students from a covariation approach and proposing a framework to describe and predict the student's responses to modeling tasks in Dynamic Geometrical Situations. Items were designed for the students to build/construct the corresponding function guided…

To improve students' mathematics achievement, their errors should be treated as an opportunity to stimulate conceptual and procedural understanding. Using a teaching scenario, this study investigated 40 high school teachers' analyses of and responses to a student error(s) in solving a quadratic equation by using the factoring method. The teachers'…

We present a case of one teacher's engagement in project-based learning for algebra I students. This teacher was a member of a cohort of mathematics teachers and career technical educators who participated in a two-week intensive summer institute investigating autonomous vehicles. During the academic year, the follow up support for these educators…

Following national trends in both mathematics placement and developmental mathematics coursework progression, this study investigates alternative placement options that remove a developmental mathematics barrier for as many students as possible by providing alternative placement pathways. By allowing students to be placed directly into the…

In this paper, we introduce a technology-enhanced pedagogical sequence for supporting lower secondary school students' sense-making of the concept of volume in a non-procedural and non-formula-driven way. Specifically, we illustrate a novel approach of using dynamic geometric environment (DGE) to introduce the meaning of volume and then deriving…

This study induced the students to be more active and able to design discovery activities so that they can communicate the material's concepts well. Students can use their activities to find a solution to problems with inquiry-based learning materials that were supplemented with a guided note-taking model. For this reason, a valid, practical, and…

The present study investigates the understanding of the equals sign among middle school students. The study data were gathered from a total of 433 middle school students (111 in the fifth grade, 106 in the sixth grade, 95 in the seventh grade and 121 in the eighth grade) using a ten-item equals sign test developed by the researcher. The study…

At the start of the COVID-19 pandemic, the majority of secondary instruction in the United States transitioned to an online environment. In many parts of the country, online schooling continued for upwards of two years. Many experts have hypothesized an "academic slide"--a reduction in student learning--following this period of online…

Reform movements in mathematics education advocate that mathematical argumentation play a central role in all classrooms. However, research shows that mathematics teachers at all grade level find it challenging to support argumentation in mathematics classrooms. This study examines the role of teachers' mathematical knowledge in teachers' support…

Children and adult learners benefit from viewing hand gestures at instruction across domains (Cook, Duffy, & Fenn, 2013; Huang, Kim, & Christianson, 2019; Ping & Goldin-Meadow, 2008). Within the domain of mathematical learning, gesture at instruction has been shown to benefit children and adults in laboratory and classroom settings…

This pilot study examined the promise of a Tier 2 sixth grade intervention program for students at-risk for difficulties in mathematics. The study utilized a quasi-experimental design. The final sample included 112 students in treatment (Promoting Algebra Readiness) and 86 students in control (standard district practice) conditions. The Promoting…

This case study offers a recounting and analysis of the experiences of one urban educator, in a public high school mathematics classroom setting, working to integrate critical mathematics curricula and pedagogy with youth and in collaboration with a community organization. This project helps to unveil complexities that teachers may experience when…

This pilot study examined the promise of a Tier 2 Grade 6 intervention program for students at risk for difficulties in mathematics. The study utilized a quasi-experimental design. The final sample included 112 students in treatment (Promoting Algebra Readiness) and 86 students in control (standard district practice) conditions. The Promoting…