The process of assessing students is a fundamental part of teaching and learning mathematics. The assessment practices a teacher chooses are shaped by their values while also being shaped by the context of the school, district, state, and country where the teaching takes place. This can result in gaps between teachers' values and practices. In…

Literature typically describes mathematization, the process of transforming a real-world situation into a mathematical model, in terms of desirable actions and behaviors students exhibit. We attended to STEM undergraduate students' quantitative reasoning as they derived equations. Analysis of the meanings they held for arithmetic operations (+, -,…

As a field, we have a limited understanding of what teachers do, what motivates them, and how they learn (Kennedy, 2016). Here, we develop a grounded framework of inquiry-based teaching in mathematics classrooms by beginning with primary evidence of teachers teaching. We seek to articulate an evidence-based account of teachers' functional (rather…

The number line is a model that is used to measure, count, order and even operate, which requires a symbolic interpretation. Then, we investigate the conceptions of 72 in service secondary teachers, when they manage the model of the number line associated with order, spatial location and the relative position between numbers and marks. In a…

Asynchronous, online mathematics teacher professional development (PD) was designed to align with research on teacher professional learning as well as to support Communities of Inquiry (e.g., Garrison et al., 2000). The intervention included two actively facilitated formats and a structured independent condition, where facilitation was integrated…

This study, which is part of a larger project that aims to make online math more accessible to students with visual impairments (VI), examines the text quality of math assessment items for students with VI who use screen readers. Using data from about 29.5 million students taking standard versions of the MAP Growth math assessment, and 48,845…

This study investigates differential effectiveness of teacher behaviour in relation to classroom composition by searching for the extent to which teachers exhibit the same teaching skills when they teach mathematics in different classrooms within a school year. Twenty-six teachers who taught mathematics in more than one classroom of the same age…

This paper explores how student performance across the full set of multiple modular assessments of individual standards, which we refer to as mini-assessments, from a large scale, operational program of interim assessment can be summarized using Bayesian networks. We follow a completely data-driven approach in which no constraints are imposed to…

The purpose of this paper is to integrate mathematical modeling and ecology by presenting an activity involving an authentic environmental problem, which is called "Pine Processionary Caterpillars Invasion." Adopting Mathematical Modeling and Education for Climate Action (EfCA) approaches, it was aimed to encourage pre-service teachers…

This longitudinal quantitative study determined the impact of a summer mathematics academy for early learners on their number sense and how their number sense compared to that of their peers who did not attend the academy. The Texas Early Mathematics Inventory -- Progress Monitoring (TEMI-PM) was used to measure students' number sense. Results…

This study used a modified mathematical knowledge for teaching (MKT) framework to compare the "common content knowledge" (CCK) of two groups of purposively selected pre-service primary mathematics teachers (n = 86) in relation to spatial visualization. Specifically, thirty-five pre-service teachers (n[subscript 1] = 35) with a pure…

This article presents activities focused on developing some essential Year 1-3 fraction understandings (i.e., joining/composing, decomposing/ partitioning) while aligning these activities to the Australian Curriculum content strands and content descriptions. Additionally, the authors describe the materials/resources needed, the key vocabulary…

Mathematics education is seen as a right for all children, and important to ensure a prosperous future. However, in Australia and other nations, rural students and students from low socioeconomic backgrounds both perform less well in mathematics and are less likely to pursue advanced mathematics. This paper presents a case study of a low…

Early mathematics achievement is a significant predictor of future math learning. Current research shows that teachers lack knowledge in teaching methods for children with autism spectrum disorder (ASD). Specifically, research focusing on teaching mathematics in ASD is limited. A competency-based education (CBE) mathematics intervention was…

This study investigates the quality of tasks containing the use of dynamic geometry software (DGS) in the middle (5th-8th grade) and secondary school (9th-12th grade) mathematics textbooks in terms of mathematical and technological aspects. The DGS-related tasks in twenty-seven Turkish mathematics textbooks, approved by the Ministry of National…