The basic notions of combinatorics, including systematic listing and permutations, are important topics of mathematics that are recommended to be learned eventually from elementary schools. However, there is little research in mathematics education regarding elementary students' combinatorial strategies. The purpose of this research is to…

Cover, Copy, Compare (CCC) has been shown to be an effective intervention at improving single-digit multiplication fluency within the academic intervention literature. The application of the three-term contingency trial embedded within CCC provides the intervention with several key components of evidence-based interventions. Given that teachers…

Benchmarking is an important strategy for comparing the size of fractions. In addition, knowing whether a given fraction is greater or less than a particular benchmark (e.g., one-half) can support students with accurately locating the fraction on a number line. This article offers a game-based activity that engages students in discussions around…

The maturation of multiplicative thinking is key to student progress in middle school as rational number, ratio, and proportion concepts are encountered. But many students arrive from the intermediate grades and falter in developing this essential disposition. Elementary students have historically learned multiplication and division as operation…

The purpose of this research has been to generate learning environments that surrounded second and third grade students with bi-directional counting experiences, leading them to discover and come to an understanding of opposite numbers. While engaged in games and bi-directional activities, these young students eagerly counted, by jumping frogs…

"The Zeroing in on Number and Operations" series, which aligns with the Common Core State Standards and the NCTM Standards and Focal Points, features easy-to-use tools for teaching key concepts in number and operations and for addressing common misconceptions. Sharing the insights they've gained in decades of mathematics teaching and research,…

A hundreds chart is a simple 10 x 10 grid with the numbers 1-100. Here, the author discusses several activities for different grade levels using the hundreds chart. The activities are: (1) Chart tour (Grades K-2); (2) Mystery number (Grades 1-3); (3) Missing numbers (Grades 1-3); (4) Multiple patterns (Grades 3-5); and (5) Least common multiples…