The project team for the National Monitoring Study of Student Achievement (NMSSA) has recently begun writing reports focussed on how insights generated by the study can be used to promote learning and teaching. The reports are written primarily for teachers. This short article introduces the reports with a special emphasis on the mathematics and…

Learning progressions (LPs) are novel models for the development of assessments in science education, that often use a scale to categorize students' levels of reasoning. Pictorial representations are important in chemistry teaching and learning, and also in LPs, but the differences between pictorial and verbal items in chemistry LPs is unclear. In…

Purpose: When using embedded, student-centered assessment tools for maker education, understanding the characteristics of a body of evidence can help teachers guide the assessment process. This study aims to examine assessment artifacts from a makerspace program and present a set of qualities that emerged, which researchers and maker educators can…

Century Analytics, Inc. conducted a rigorous evaluation of Edmentum's Exact Path to estimate the impact of Exact Path use on student achievement in reading in kindergarten through Grade 3. Exact Path is an online educational tool designed to support individualized student instruction. This study's quasi-experimental design (QED), analyses, and…

Century Analytics, Inc. conducted a rigorous evaluation of Edmentum's Exact Path to estimate the impact of Exact Path use on student achievement in mathematics in kindergarten through Grade 8. Exact Path is an online educational tool designed to support individualized student instruction. This study's quasi-experimental design (QED), analyses, and…

Assessments associated with learning progressions are designed to provide diagnostic information about the level and nature of student understanding. Valid interpretations of such diagnoses are only possible when students consistently express the ideas associated with a single learning progression level. Latent class analysis was employed to…

How do you refute the erroneous claim that all ratios are fractions? This book goes beyond a simple introduction to ratios, proportions, and proportional reasoning. It will help broaden and deepen your mathematical understanding of one of the most challenging topics for students--and teachers--to grasp. It will help you engage your students,…

This book describes and illustrates learning paths for the mathematical concepts and skills of each grade 8 Focal Point as presented in Curriculum Focal Points for Prekindergarten through Grade 8 Mathematics. It includes representational supports for teaching and learning that can facilitate understanding, stimulate productive discussions about…

As a university instructor and a language arts middle school teacher, the authors have been working collaboratively for the last three years. This article describes their collaborative efforts, including what they have learned about their students and about the process of learning through the work they have done together. To introduce their…

This document contains the second volume of the proceedings of the 30th Annual Conference of the International Group for the Psychology of Mathematics Education. Conference presentations are centered around the theme "Mathematics at the Centre." This volume features 60 research reports by presenters with last names beginning between Abr…