Using Coarsened Exact Matching (CEM), this analysis examined the impact of Zearn Math across 7,116 matched pairs of students in 31 Louisiana parishes. Students who completed an average of 3+ Zearn Math lessons per week during the 2021-2022 school year were compared to similarly matched peers who completed less than 1 lesson per week. Findings…

This study involved empirical investigation of a moves-based conceptualization of teacher practices of planning, enacting, and reflecting on formative assessment (FA) in mathematics classrooms in a high-needs school district in California. A qualitative case study of six middle school mathematics teachers' practices of "posing"…

Ever-growing expectations exist for educators to use assessments to collect, analyze, and interpret data, but how, if at all, are these processes affecting instruction? This descriptive case study of one team of second grade teachers offers an analysis of the links between teachers' use of data within their collaborative team meetings and…

Background/Context: Discussion is central to mathematics teaching and learning, as well as to mathematics as an academic discipline. Studies have shown that facilitating discussions is complex work that is not easily done or learned. To make such complex aspects of the work of teaching learnable by beginners, recent research has focused on…

The purpose of this dissertation is to demonstrate one iterate of a process for developing a measurement instrument for student knowledge within educational interventions. Student mathematical knowledge is framed within Cognitively Guided Instruction (CGI) and its tenets. That is, the construct underlying the measurement instrument corresponded…

This guidance report focuses on the teaching of mathematics to pupils in Key Stages 2 and 3. It is not intended to provide a comprehensive guide to mathematics teaching. We have made recommendations where there are research findings that schools can use to make a significant difference to pupils' learning, and have focused on the questions that…

This book identifies and examines two big ideas and related essential understandings for teaching multiplication and division in grades 3-5. Big Idea 1 captures the notion that multiplication is usefully defined as a scalar operation. Problem situations modeled by multiplication have an element that represents the scalar and an element that…

This book offers easy-to-use classroom strategies for middle and high school Mathematics and Science classrooms. They demonstrate how teaching, learning, and assessment are inseparable and seamless. Each strategy will engage your students in activity and reflection, consuming little class time, costing nothing, and uniting the three dimensions of…

Funded by The Bill & Melinda Gates Foundation, the Literacy Design Collaborative (LDC) and Math Design Collaborative (MDC) offer a set of instructional and formative assessment tools in literacy and math, which were developed to help educators better prepare all students to meet the Common Core State Standards (CCSS) and succeed beyond high…

In the generative classroom, teachers provide well-designed learning environments that result in the combination, recombination, and reorganization of repertoires such that new untaught repertoires are likely to occur. One component that can contribute to such generativity is Precision Teaching (PT), a frequency building instructional…

This research study examined the development of 43 preservice elementary school teachers' conceptual understanding of place value after participating in a research-based constructivist unit of instruction in place value. The preservice teachers were enrolled in one of three terms of an elementary mathematics methods course in a private midwestern…

Based on the results of a generalizability study of measures of teacher knowledge for teaching mathematics developed at the National Center for Research on Evaluation, Standards, and Student Testing at the University of California, Los Angeles, this article provides evidence that teachers are better at drawing reasonable inferences about student…

The No Child Left Behind Act resulted in increased school-level implementation of assessment-based school interventions that aim to improve student performance. Diagnostic assessments are included among these interventions, designed to help teachers use evidence about student performance to modify and differentiate instruction and improve student…

Now entering into its 20th year of data collection, Trends in International Mathematics and Science Study, (TIMSS) is an international assessment of mathematics and science at the fourth and eighth grades. TIMSS 2015 is the most recent in the TIMSS series, which began with the first assessments in 1995 and has continued every four years--1999,…

No Child Left Behind legislation developed goals for every student to be proficient in each academic subject by 2014. California's students are far from meeting this goal, especially in mathematics. One Southern Californian school district, renamed Green Valley Unified School District for anonymity, began using Cognitively Guided Instruction…