Work in teacher noticing has captured to what extent teachers notice students' thinking on paper and pencil tasks and technology tasks, yet no one study has considered how the same group of teachers notices across task types. This study used Jacobs et al.'s (Journal for Research in Mathematics Education, 2010, 41(2), pp: 169-202.) professional…

The study discussed here aims to describe students' understandings of the definition of a mathematical function, which was achieved through a pilot case study of clinical interviews with four participants -- two ninth graders and two twelfth graders. The participants were recruited from the same urban public high school in the northeast of the…

For the first time in 32 years, the national average scale score in mathematics dropped by seven points across the country in grades four and eight, according to the latest results of the National Assessment on Educational Progress (NAEP). The 2022 results in mathematics were staggering, in which "math performance fell for the first time in…

This study investigated in-service teachers' conceptualization of the pure imaginary number, within the Cartesian form, "a" + "ib" where "a" and "b" are real numbers and "i" is the imaginary unit. As part of a larger design-based research study, in which a professional development (PD) program was…

Informed by a cultural understanding of human sense-making, the mathematical identities of Grades 7-12 learners, teachers, and conventional curricula are explored. Due to a clash of values between mathematics and the humanities, a majority of learners do not achieve their mathematical potential. This frustrates both these learners and their…

The persistence of a 120 year-old mathematics curriculum despite dramatic changes in society (Dossey et al., 2016; NCTM, 2018) and the failure of the US mathematics education system to achieve many of its stated aims, especially for students from traditionally marginalized populations (Attridge & Inglis, 2013; Carnevale & Desrochers,…

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…

In Ireland, Initial Teacher Education [ITE] standards require all teachers to possess an adequate level of numeracy themselves in order to teach for numeracy learning across the school curriculum. This paper reports on a study that investigated 204 pre-service post-primary teachers' numeracy capabilities. Analysis of questionnaire data from…

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 study evaluates the Mythematix prototype, an innovative adaptive e-learning system designed specifically to enhance secondary school students' understanding and proficiency in mathematics. Utilizing a mixed-methods approach, it combines qualitative and quantitative research methodologies to thoroughly assess students' perceptions and…

The National Academy of Education (NAEd) Civic Reasoning and Discourse project aims to support civic reasoning and discourse in the schools by helping teachers across disciplines to prepare youth in the United States to examine and discuss complex issues in ways that are thoughtful, developmentally appropriate, and respectful of others' opinions…

Over the last 20 years, many methods have been proposed to use process data (e.g., response time) to detect changes in engagement during the test-taking process. However, many of these methods were developed and evaluated in highly similar testing contexts: 30 or more single-select multiple-choice items presented in a linear, fixed sequence in…

Summer Ventures in Science and Mathematics is a four-week summer enrichment program where high school students study a variety of STEM topics. This article explores how participation in the Mathematical Evolution course affected students' skills in research, communication, and scientific reasoning and changes in self-efficacy towards STEM. Data…

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…

The aim of this study is to develop a descriptive framework for teacher educators to assist teachers to plan and realize modelling implementations in their classrooms and for researchers to describe and analyse how modelling is implemented. The planning process and implementations of 12 middle and high school mathematics teachers who conducted…