Mathematics

Mathematical knowledge for teaching (MKT) is a professional knowledge crucial for effective mathematics instruction, encompassing both content knowledge (CK) and pedagogical content knowledge (PCK). The purpose of this study is to investigate the hierarchical structure of PCK for fractions by seeking further evidence for the PCK-Fractions assessment. The PCK-Fractions measure is designed to examine the effectiveness of teacher education program and field experiences in facilitating preservice teachers’ (PSTs) PCK for children’s fraction reasoning in grades 4–6.

Young children are naturally interested in light and shadows, thus providing a meaningful context to introduce preschool science investigations. As children explore how shadows are made and change, they also have opportunities to develop math skills, specifically visual spatial awareness. In this article, we describe a set of light and shadows activities. Through these playful hands-on and digital app investigations, children explore how shadows are made and change.

Quantitative measures in mathematics education have informed policies and practices for over a century. Thus, it is critical that such measures in mathematics education have sufficient validity evidence to improve mathematics experiences for students. This article provides a systematic review of the validity evidence related to measures used in elementary mathematics education. The review includes measures that focus on elementary students as the unit of analyses and attends to validity as defined by current conceptions of measurement.

Quantitative measures in mathematics education have informed policies and practices for over a century. Thus, it is critical that such measures in mathematics education have sufficient validity evidence to improve mathematics experiences for students. This article provides a systematic review of the validity evidence related to measures used in elementary mathematics education. The review includes measures that focus on elementary students as the unit of analyses and attends to validity as defined by current conceptions of measurement.

In this article, we explore demands and tensions involved when schools implement ambitious mathematics teaching (AMT). Following a description of a framework that distinguishes between internal and external demands, we characterize the tension between these in terms of alignment, balance, and buffering, which collectively speak to coherence. We then describe AMT and how it represents a departure from traditional mathematics instruction found in most countries.

This paper describes an innovative mathematics learning partnership that engages teachers and parents of multilingual children ages 7–10 from schools in underserved communities. At the center of this transformative work is the use of two complementary approaches to advancing equity in education– funds of knowledge and positioning theory. While both theories have been applied in mathematics education, they have not been integrated in a parent-teacher partnership program aimed at enhancing collaboration between multilingual families and teachers.

This paper describes an innovative mathematics learning partnership that engages teachers and parents of multilingual children ages 7–10 from schools in underserved communities. At the center of this transformative work is the use of two complementary approaches to advancing equity in education– funds of knowledge and positioning theory. While both theories have been applied in mathematics education, they have not been integrated in a parent-teacher partnership program aimed at enhancing collaboration between multilingual families and teachers.

This paper describes an innovative mathematics learning partnership that engages teachers and parents of multilingual children ages 7–10 from schools in underserved communities. At the center of this transformative work is the use of two complementary approaches to advancing equity in education– funds of knowledge and positioning theory. While both theories have been applied in mathematics education, they have not been integrated in a parent-teacher partnership program aimed at enhancing collaboration between multilingual families and teachers.

There is widespread agreement about the importance of accounting for the extent to which educational systems advance student learning. Yet, the forms and formats of accountable assessments often ill serve students and teachers; the summative judgements of student performance that are typically employed to indicate proficiencies on benchmarks of student learning commonly fail to capture student performance in ways that are specific and actionable for teachers. Timing is another key barrier to the utility of summative assessment.

Extended reality (XR) is increasingly used to support preservice and inservice teacher training. Its use in teacher education has shown promise in improving future educators’ engagement, self-confidence, and noticing skills. Despite this evidence, the field lacks innovative measures to assess outcomes such as those offered through biometric data collection. This article addresses this gap by presenting the findings of a study involving 18 PSTs, who watched a 360 video of an elementary classroom while their heart rate data was gathered.