Measurement

We present findings from an analysis of tests of teacher mathematical knowledge identified over a 20-year period of mathematics education literature. This analysis is part of a larger project aimed at developing a repository of instruments and their associated validity evidence for use in mathematics education. We report on how these tests are discussed in the literature, with a focus on validity arguments and evidence. A key finding is that these tests are often presented in ways that do not support their use by the mathematics education community.

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.

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.

Measuring and Visualizing Space in Elementary Mathematics Learning explores the development of elementary students’ understanding of the mathematics of measure, and demonstrates how measurement can serve as an anchor for supporting a deeper understanding of number operations and rational numbers.

Measurement is a critical component of mathematics education, but research on the learning and teaching of measurement is limited. We previously introduced, refined, and validated a developmental progression – the cognitive core of a learning trajectory – for length measurement in the early years. A complete learning trajectory includes instructional activities and pedagogical strategies, correlated with each level of the developmental progression. This study evaluated a portion of our learning trajectory, focusing on the instructional component.

The context for this study was an intervention that provided professional development (PD) for preschool (pre-K) and kindergarten (K) teachers and science engagement activities for families. The research sought to determine the impact of the intervention and the extent to which parent engagement adds to student learning. These presentation slides were prepared for the 2020 Annual International NARST Conference.

Classroom Learning Partner (CLP) tools allow students and teachers to create, annotate, and manipulate visual representations to solve math problems. The tools may be used for a number of mathematical purposes, but were mainly conceived to assist in creating visual representations for multiplication and division. The underlying model of multiplication and division assumed by the current set of tools involves a repetition of groups of the same size.

Classroom Learning Partner (CLP) tools allow students and teachers to create, annotate, and manipulate visual representations to solve math problems. The tools may be used for a number of mathematical purposes, but were mainly conceived to assist in creating visual representations for multiplication and division. The underlying model of multiplication and division assumed by the current set of tools involves a repetition of groups of the same size.