Mathematical flexibility is thought to be a critical component of mathematical proficiency, and the term "mathematical flexibility" has been used by teachers, researchers, and policy makers for more than 2 decades. Although there seems to be consensus on the importance of mathematical flexibility as a construct, the way it is defined and…

Within elementary science reform, time is a crucial consideration, yet conceptions of time in education research are undertheorized. To address this gap, we use sociological literature to identify three conceptions of time that help us understand and interpret leaders' and teachers' sensemaking and decision making about time in their efforts to…

Teachers and caregivers use children's books (i.e., trade books) to support mathematics learning in school and home settings; shared book reading offers a unique opportunity to support students' understanding of operations and schema development. No prior studies have examined the representations of addition, subtraction, multiplication, and…

This study explores how three widely used US kindergarten mathematics textbooks, each written to align with the Common Core State Standards for Mathematics (CCSSM), vary in terms of content coverage, instructional grouping, and use of representational strategies. Results show that all textbooks (i) primarily emphasize math practices related to…

In mathematics, the keyword strategy involves identifying a keyword and using that keyword to determine the operation needed to find a word problem's solution. We analyzed 747 high-stakes released items across grades 3, 4, 5, 6, 7, and 8. Of these, 57 items did not involve written text. Of the 690 text-based items, we classified 69% as directive…

In this study, we decomposed the broad practice of deciphering multiple solution strategies. We conducted interviews with 11 preservice elementary teachers, in which we asked teachers to decipher students' standard and nonstandard strategies to multiplication and division problems. We examined what teachers said and did--what we refer to as…

In this study, we decomposed the broad practice of deciphering multiple solution strategies. We conducted interviews with 11 preservice elementary teachers, in which we asked teachers to decipher students' standard and nonstandard strategies to multiplication and division problems. We examined what teachers said and did--what we refer to as…

The inclusion of the arts into science, technology, engineering, the arts, and mathematics (STEAM) has recently gained much national attention. The purpose of this qualitative study was to conduct a thematic analysis of student STEAM survey open responses to provide the field with an examination of grades 3-5 elementary students' perceptions of…

The efficacy of conjoint behavioral consultation (CBC), a family-school partnership intervention, for teachers' practices and process skills was evaluated. Participants were 152 teachers of grades K-3 in 45 Midwest rural schools randomly assigned to treatment or control conditions. Treatment group teachers participated in an 8- to 10-week CBC…

This research analyzed how fractions are taught in the fourth grade of elementary school in Flanders. Analysis centered on the presence of five features of instruction recommended by research on teaching and learning fractions (i.e., multiple solution pathways, linking representations, estimation and justification of the solution, collaboration,…

The purpose of this study was to better understand how students with learning disabilities, including those who struggle specifically with mathematics, engage with fraction computation. In particular, we examined error patterns, the influence of like and unlike denominators on these patterns, and correct solution methods. Although skill-related…

A descriptive, holistic, multiple-case methodology was applied to examine the nature of participation in discourse of two low- and two high-achieving grade 6 students while solving mathematical tasks in a standards-based classroom. Data collected via classroom observations and student interviews were analyzed through a multiple-cycle coding…

This study explored a group of elementary teachers' ("n" = 35) learning to construct high-quality lesson plans that foster student understanding of fundamental mathematical ideas. The conceptual framework for this study was gleaned from the recently released Institute of Education Sciences (IES) recommendations, including (a)…

This study compared the effects of delivering a supplemental, small-group tutoring intervention on the mathematics outcomes of third-grade students at risk for mathematics difficulties (MD) who were randomly assigned to either a schema-based instruction (SBI) or control group. SBI emphasized the underlying mathematical structure of additive…

We report the development of a multiple-choice instrument that measures the mathematical knowledge needed for teaching arithmetic with fractions, decimals, and proportions. In particular, the instrument emphasizes the knowledge needed to reason about such arithmetic when numbers are embedded in problem situations. We administered our instrument to…