Now in its fourth edition--with more than 50 new questions and a new chapter on financial literacy--this bestselling resource helps experienced and novice teachers effectively and efficiently differentiate mathematics instruction in K-grade 8. Math education expert Marian Small shows teachers how to get started and become expert at using two…

Instructional interactions that occur between teachers and students around foundational mathematics topics are critical for supporting mathematical proficiency among students with mathematics learning disabilities (MLD). This study investigated whether the initial mathematics skill of 880 kindergarten students at risk of MLD predicted the quantity…

Instructional interactions that occur between teachers and students around foundational mathematics topics are critical for supporting mathematical proficiency among students with mathematics learning disabilities (MLD). This study investigated whether the initial mathematics skill of 880 kindergarten students at risk for MLD predicted the…

The Common Core State Standards in Mathematics and Next Generation Science Standards encourage substantial shifts in teaching, but how to enact change is not specified. This mixed-methods exploratory study shows how different implementation supports were related to teachers' use of standards-aligned instructional practices in the Chicago Public…

Improving children's "number sense" has been a core component of recent mathematics curricular and instructional reforms (CCSS, 2010; NCTM, 2000, 2014) in the United States. Students with mature number sense make sense of numbers and operations, use reasoning to notice patterns, and flexibly select the most effective and efficient…

This study examined children's learning when they played 12 digital math games to understand how design features promoted children's awareness of the affordances in the games, and how this contributed to their learning. Elementary-aged children (N=193) played three digital math games during 60-minute interviews. We collected quantitative (pre-post…

There is little empirical research related to how elementary students develop computational thinking (CT) and how students apply CT in problem-solving. To address this gap in knowledge, this study made use of learning trajectories (LTs; hypothesized learning goals, progressions, and activities) in CT concept areas such as sequence, repetition,…

This book provides an introduction to what it means to be numerate, and how numeracy can best be developed and nurtured in children and in adults. It also presents a cohesive coverage of numeracy development from early childhood to adulthood. This book draws on international research and practice to provide a comprehensive overview on the topic.…

This article describes a modeling project the author did with his algebra, geometry, and applications students in grades 9, 10, and 11 as an enrichment and exploration of an extremely relevant real-world phenomenon and introduction to the adult profession of epidemiologist. With discussion and exploration, this project consumed two periods of 88…

Facilitating meaningful discourse directly supports what students should be able to do with respect to the third of the eight Standards for Mathematical Practice (SMP 3) in the Common Core State Standards for Mathematics (NGA Center and CCSSO 2010): "Construct viable arguments and critique the reasoning of others" (p. 6). Following best…

In this study, we examined and compared volume and volume-related lessons in two common core aligned U.S. textbook series and Korean elementary textbooks. Because of the importance of textbooks in the lesson enactment process, examining what textbooks offer to students and teachers is important. Since different parts of a textbook provide…

The benefits of content writing are widely recognized, yet there are still few studies that evaluate the benefits and challenges of mathematical writing (MW) for students. The National Council of Teachers of Mathematics and the Common Core State Standards for Mathematics have an emphasis on written communication of mathematical reasoning as an…

In conjunction with the Council of Chief State School Officers (CCSSO) and governors across the nation, the initial drafts of the Common Core State Standards (CCSS) were introduced in 2009 with the final draft being released in 2010. With a goal of eliminating stagnant academic progress, the Standards were written to outline precisely what…

The Common Core State Standards in Mathematics and Next Generation Science Standards encourage substantial shifts in teaching, but how to enact change is not specified. This mixed-methods exploratory study shows how different implementation supports were related to teachers' use of standards-aligned instructional practices in the Chicago Public…

For at least the past 40 years, the mathematics education community has attempted to characterize important learning goals for students that are not captured completely in specifications of mathematical content objectives. Mathematical processes such as problem solving, reasoning and representation have been prominent in these attempts. The most…