This qualitative case study explored an elementary foundations mathematics course and the mathematics vocabulary elementary pre-service teachers (PSTs) encounter at various stages in their preparation as mediated by curriculum, standards, and assessment materials. Guided by the theoretical lens of a constructivism-informed conceptual framework,…

Competency in mathematics is needed to respond to the vast employment opportunities available in the STEM sectors. These employment opportunities all require basic foundational mathematics skills, yet there is a shortfall of mathematics abilities due, in-part, to mathematics anxiety. Mathematics anxiety can surface as fear and avoidance of…

Unfavorable test-taking behaviors, such as speededness and disengagement, have long been a validity concern for large-scale low-stakes assessments. Understanding the presence and extent of such behaviors is important for ensuring the validity of inferences based on test scores. This study examined test-taking behaviors using item response time…

This article focuses on using simulations of practice in teacher education. We studied preservice teachers' engagement with a popular simulations platform, which creates "mixed-reality simulations" of five digital avatars controlled by a single live interactor. Because simulations are only an approximation of real practice, our…

In this article, we describe the development of a survey intended to assess teachers' perceptions on teaching mathematics to African American students. Research on productive and unproductive mindsets that affect teachers' ways of being in the classroom guided the design of the survey. We share results from three-survey administrations with two…

Mathematical objects are the outcomes of human discourse and come to life through the process of objectification. Primary and concrete discursive objects (d-objects) play an important role in this process, forming different realizations through the objectification process. In the present study, we analyze the written discourses about the…

Purpose: The purpose of the article is to identify, describe and explain what and how new mathematics teachers learn when participating in a lesson-study induction programme, by networking theories. Design/methodology/approach: To explore this phenomenon, the author combines the two theoretical frameworks, Patterns of Participation and the…

We examined widely used popular calculus textbooks to explore opportunities to learn the limit concept. Definitions, worked problems, and exercise problems were coded to examine if these tasks allow students to use informal thinking to coordinate domain and range processes to understand the infinite process of limit. Results revealed many exercise…

When the COVID-19 pandemic began, many universities switched to fully online teaching. This unexpected switching to online teaching was challenging for both teachers and students, and restrictions that were put in place because of pandemic made this challenge even greater. However, new ways of teaching might also open new opportunities for…

We present a free student-facing tool for creating 3D plots and smartphone-based virtual reality (VR) visualizations for STEM courses. Visualizations are created through an in-browser interface using simple plotting commands. Then QR codes are generated, which can be interpreted with a free smartphone app, requiring only an inexpensive Google…

Young children have informal knowledge of fractions before learning about fraction symbols in school. In the current study, we followed 103 children in the Mid-Atlantic United States from the fall to the spring of first grade to characterize the development of individual differences in early informal fraction knowledge, as well as its relation to…

A major affordance of one-on-one mathematics coaching is its potential to provide individualized, contextualized support for mathematics teachers' learning. Coaches can adjust their work to individual teachers by focusing on instructional improvement goals that take account of teachers' current knowledge, practice, and classroom contexts. It is,…

Summer numeracy interventions have become standard educational practice across a range of jurisdictions, but there is a paucity of evaluations of those interventions across international settings. We employ a quasi-experimental evaluation of voluntary summer numeracy programs for 569 attendees and 2,193 comparison students in grades 1-3, conducted…

A recent review of literature in topic of rate of change mostly highlighted students and teachers' difficulties in handling conceptual questions. This initiated the researcher to investigate the Malaysian pre-service mathematics teacher's subject matter knowledge in rate of change through a case study design. A task-based interview was conducted…

The topic of inequalities is one of the fundamental subject areas for the development of mathematical knowledge. Although there is a considerable body of research focused on one-variable inequalities, studies that investigate students' performance on two-variable inequalities are scarce. With this in mind, the aim of this study is twofold: first,…