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…

Three studies concerning mathematics courses taught in nontraditional modalities at Chandler-Gilbert Community College (CGCC) during a pandemic provide a glimpse into students' self-efficacy in nontraditional modalities. The first article is a descriptive study related to teaching a hybrid modality algebra course during the pandemic. Best…

Adolescents' (n = 342, 169 boys) general algebra and algebra word problems performance were assessed in 9th grade as were intelligence, academic achievement, working memory, and spatial abilities in prior grades. The adolescents reported on their academic attitudes and anxiety and their teachers reported on their in-class attentive behavior in 7th…

The problem addressed by this study was that Title 1 high school Mathematics teachers are limiting technology integration in the classroom by using traditional teaching practices that decrease academic achievement, student engagement, and classroom climate. The purpose of this qualitative case study was to explore how Title 1 urban high school…

Given math's importance, states are adopting a range of K12 policies to improve math outcomes. As these and other policies unfold, policymakers need to monitor intended outcomes and ultimately gauge impact. They need answers to basic questions: Are more students taking and passing algebra and advanced math? Are performance gaps changing between…

Pre-symbolic algebra has been advocated for as a mathematics topic elementary students should experience to better prepare them for middle and high school algebra. However, most elementary pre-service teachers have little to no experience with pre-symbolic algebra. The study reported here analysed the struggles that ten elementary pre-service…

Children need support in the early elementary grades to construct a deep, formal understanding of foundational prealgebraic concepts. In this article, the authors share recommendations for teaching one such foundational concept--mathematical equivalence. First, they define mathematical equivalence and discuss research supporting the benefits of…