Using a cluster-randomized controlled trial research design, this study investigates the effect of the first year of a three-year teacher professional development program on grades 1 and 2 student achievement in mathematics. Although the findings reported in the present report do not meet the standard cutoff for statistical significance (e.g., 95%…

The Better Math Teaching Network offers a promising, practical model for teacher learning. Its practitioner members--who all teach at least one section of high school algebra and all joined voluntarily--are working with each other and a team of researchers to make their teaching more student-centered through an improvement science approach. With…

The Better Math Teaching Network (BMTN) is organized as a networked improvement community, which is a structured network of researchers and practitioners working together to address a common problem of practice, in this case, how to improve opportunities to increase student engagement in high school mathematics. During the 2017-18 school year, 41…

Contemporary state math standards emphasize that students must demonstrate an understanding of the mathematical ideas underlying the computations that have typically been the core of the elementary school math curriculum. The standards have put an increased emphasis on the study of fractions in upper elementary grades, which are the years during…

More than ever, students need to engage with mathematics concepts, think quantitatively and analytically, and communicate using mathematics. All these skills are central to a young person's preparedness to tackle problems that arise at work and in life beyond the classroom. But the reality is that many students are not familiar with basic…

This meta-analysis synthesizes experimental and quasi-experimental research on instruction that enhances the mathematics performance of K-12 students with learning disabilities. It reports the findings from this synthesis, discusses the implications for practice, and suggests next steps for research and professional development efforts in this…

The math achievement of third and fourth grade special education students has been identified as an area of concern within a public school located in a small rural town located on the east coast. The purpose of this action research study was to investigate whether or not the Touch Math strategy increased the math ability of third and fourth grade…

The author of this article, while recently working through some problem sets on determining volumes by triple integrals in cylindrical and spherical coordinate systems, realized that, although the textbook he was using included many interesting problems involving spheres, cylinders and cones and the increasingly complex solids that arose from the…

Some examples from different areas of mathematics are explored to give a working knowledge of the computer algebra system Maple. Perfect numbers and Mersenne primes, which have fascinated people for a very long time and continue to do so, are studied using Maple and some questions are posed that still await answers.

This article presents two classroom episodes in which students were exposed to the value of asking questions and to the different roles played by proof in mathematics. The conversation in the two episodes is outlined in the article. The setting was a classroom of fifteen good high-school students, who were studying calculus. These episodes…

Design and results of an investigation attempting to analyze and improve children's solution processes in elementary addition and subtraction problems are described. As background for the study, a conceptual model was developed based on previous research. One dimension of the model relates to the characteristics of the tasks (numerical versus word…

This mathematics textbook, developed for use with slow learners and learning disabled students in secondary school, contains 17 chapters. Among the topics covered are: number words; place value; rounding whole numbers; addition, subtraction, multiplication, and division of whole numbers; reducing fractions; mixed numbers; lowest common…

This volume includes the tests, questionnaires, letters, manuals, findings, and analyses associated with the field evaluation of "ThinkAbout," a series of 60 15-minute programs organized in 13 clusters and designed to strengthen the reasoning skills of fifth and sixth graders, and to review and reinforce language arts, mathematics, and…

The National Assessment of Educational Progress (NAEP), also known as "The Nation's Report Card," is a congressionally mandated survey of educational achievement of American students in a variety of curriculum areas and of changes in that achievement across time. Part 1 of this report consists of the results of NAEP's 1990 national…

In 1990, the National Assessment of Educational Progress (NAEP) included a Trial State Assessment (TSA); for the first time in the NAEP's history, voluntary state-by-state assessments (37 states, the District of Columbia, Guam, and the Virgin Islands) were made. The sample was designed to represent the 8th grade public school population in a state…