A formative pilot study of a fractions intervention was conducted to address the intervention's potential for improving fifth-grade struggling students' knowledge of fractions, and to identify any logistical or instructional design issues, before scaling up for a randomized control trial. In the first section, we provide details of the formative…

This study employed content analysis to examine 3 popular middle-grades mathematics curricula in the USA on the support they provide for teachers to implement concepts associated with variables in school mathematics. The results indicate that each of the 3 curricula provides some type of support for teachers, but in a varied amount and quality.…

This project tested the effects of adding instruction of trios of children in patterning, mathematics, early literacy, or social studies to ongoing instruction in kindergartens. Children were randomly assigned to trios which were randomly assigned to one of four kinds of instruction. A quarter of the trios received patterning instruction with a…

Recent findings have suggested that adults' and children's approximate number system (ANS) acuity may be malleable through training, but research on ANS acuity has largely been conducted with adults and children who are from middle- to high-income homes. We conducted 2 experiments to test the malleability of ANS acuity in preschool-aged children…

This paper reports results from a study investigating the efficacy of a proportional problem-solving intervention, schema-based instruction (SBI), in seventh grade. Participants included 806 students with mathematical difficulties in problem solving (MD-PS) from an initial pool of 1,999 seventh grade students in a larger study. Teachers and their…

This brief is directed to researchers and adds to the research base about instructional practices that are related to student achievement. Additional evidence on these relationships can suggest specific hypotheses for the future study of such instructional practices, which, in turn, will provide research evidence that could inform professional…

In 2010, the Texas Assessment of Knowledge and Skills (TAKS) began its seventh year of testing (Texas Education Agency, 2009a). High stakes testing is a reality. This study considered the impact on mathematics achievement based on the mathematics program students were receiving during their middle school years. The purpose of this study was to…

This appendix provides the details that underlie the analyses reported in the evaluation brief, "After Two Years, Three Elementary Math Curricula Outperform a Fourth." The details are organized in six sections: Study Curricula and Design (Section A), Data Collection (Section B), Construction of the Analysis File (Section C), Curriculum…

In this Appendix, we provide details about the data used for the current study, the curricula used in the classrooms from which data were collected, and the current study's methodological approach. (Contains 14 tables and 5 footnotes.)[For full report, see ED544189.]

In this study, the authors examined the effects of two supplemental interventions on the mathematics achievement of low-performing intermediate-grade students. A conceptually based intervention designed to reteach fundamental mathematics was evaluated along with an intervention designed to provide extended time in the context of the core…

Four experiments examined children's understanding of the inverse relationship between the number of parts into which a quantity is divided and the size of each part. Found that children tended to judge that bigger shares resulted from sharing with more recipients. Seven-year olds performed correctly on a simplified equal-sharing task. Five-year…

A yearlong experimental study showed positive effects of a professional development project that involved 19 urban elementary schools, 180 teachers, and 3735 students from one of the lowest performing school districts in California. Algebraic reasoning as generalized arithmetic and the study of relations was used as the centerpiece for work with…

The effects of feedback to assist elementary school students classified as either normally achieving (NA) or with a mathematics learning disability (MLD) in acquiring the fact series of 0 to 9 for the operations of addition, subtraction, multiplication, and division were examined in Study 1. The acquisition of each fact series was facilitated by…

This study attempted to determine which teaching method, mainly manipulatives or the standard curriculum, best allowed the students to learn first grade math concepts. The manipulatives consisted of objects such as unifix cubes, personal chalkboards, work mats, and various other articles, which allowed the students to see the math that they were…

Reports on the results of the reform curriculum of the University of Chicago School Mathematics Project's elementary curriculum, Everyday Mathematics, for third-grade students. Results included the fact that only 2% of UCSMP students failed to meet state goals. UCSMP students also scored well in all mathematical areas including number skills and…