This study sought to investigate whether there were performance differences between the children who engaged with the Ignite by Hatch™ educational gaming system using the English- or Spanish-language versions of the games. Differential item functioning methods (DIF) were employed to investigate these differences. Specifically, DIF analyses can…

In this paper, we explore how students' algebraic noticing's and explanations changed across a two-year period with the introduction of designed instructional material. The data in this report is drawn from n=53 Year 7-8 students' responses to a free-response assessment task across two different years. Analysis focused on how students noticed and…

I report the results of an analysis of an episode of elementary school second language mathematics classroom talk focused on the classification of geometric forms, drawing on a dialogic, sources of meaning perspective. The episode was selected because participants make use of a variety of features of language, including vocabulary, gestures and…

We report on a series of task-based interviews in which nine mathematicians were asked to evaluate a series of six mathematical arguments, purportedly produced either by fellow mathematicians or undergraduate students. In this paper, we attend to the role of context in mathematicians' responses, leading to four themes in expectations when…

Curriculum-based measurement (CBM) has conventionally included accuracy criteria with recommended fluency thresholds for instructional decision-making. Some scholars have argued for the use of accuracy to directly determine instructional need (e.g., Szadokierski et al., 2017). However, accuracy and fluency have not been directly examined to…

This manuscript proposes the use of the "I notice, I wonder" routine in college mathematics classrooms to address issues of diversity, equity, and inclusion. Examples are given of prompts that incorporate meaningful conversations about real-world issues affecting our students or about issues of inclusion, access, and representation in…

This study explores high school students' and their mathematics teachers' mathematical discourses on the equal sign and variables in the classroom context. The participants in this case study were ninth graders and their mathematics teachers. The data were analyzed in terms of participants' routines, specifically ritual and explorative routines in…

Objective: In Spring 2020 when COVID-19 hit, community colleges moved almost all classes online. This disruption impacts recent math reforms, including contextualization, raising concerns about sustained faculty and institutional leadership commitment. This study investigated how community college faculty teaching contextualized math courses…

In this paper we consider how the integration of mobile technology apps into classroom practice can form an alternative pedagogical medium that influences the learning process in mathematics. We give an account of one aspect of a research project that examined the use of tablets and apps in primary school mathematics programmes and report teacher…

The current study aims to determine the effect of teaching a mechanic neuro-computerized course through virtual learning environments (VLE) to develop computational thinking among mathematics pre-service teachers. The neuro-computerized virtual learning environments (NCVLE) model was designed to be used to teach the mechanics course to third-year…

This study examines the perceptions of first-year, mathematics graduate teaching assistants (GTAs) participating in a six-week summer course designed to deepen their knowledge of collegiate mathematics teaching practices before being assigned to instruct undergraduate students in the subsequent fall semester. Through hybrid deductive-inductive…

Internationally, mathematics education reform has been directed toward characterizing educational goals that go beyond topic/content/skill descriptions and develop students' problem solving. The Revised Bloom's Taxonomy and MATH (Mathematical Assessment Task Hierarchy) Taxonomy characterize such goals. University entrance examinations have been…

Numbers and languages are present around the world. While mathematics is deemed as universal, communities around the world have developed mathematical practices that align with their specific context and needs. Rooted in an Indigenous epistemological framework, this manuscript presents a dialogue among four co-researchers and teachers retelling…

This is an exploratory study considering instructional methods in mathematics education. The study examined misconceptions arising from selected assignments undertaken by sixty-five students. The students were attending a calculus mathematical course unit on limits of functions, in different academic areas offered at selected tertiary institutions…

The purpose of this study is to explore the effectiveness of the parallel classroom model in comparison to a support facilitation model. Using district-level assessments in geometry, this study assessed student performance when students were taught the same content with the same rigor, where one classroom uses differentiation strategies and…