The Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) outlines ambitious goals for fraction learning, starting in third grade, that include the use of the number line model. Understanding and constructing fractions on a number line are particularly complex tasks. The current work of the authors centers on ways to successfully…

Based on a study with six elementary school teachers and 115 students in grades 3, 4, and 5, this article discusses ways that teachers might support an understanding of variable as students explore pattern-finding activities. The practices emerged from interviews with teachers and a yearlong observation of teaching algebraic thinking during an…

By the third grade, students must make the transition from learning to read to reading to learn. If they do not, they cannot do their coursework. Each year, as the grade level demands go up, students tend to fall further behind and become outsiders inside the classroom. K-3 Reading is a program that implements the mastery of reading for third…

Algorithms and representations have been an important aspect of the work of mathematics, especially for understanding concepts and communicating ideas about concepts and mathematical relationships. They have played a key role in various mathematics standards documents, including the Common Core State Standards for Mathematics. However, there have…

Preservice teachers often hold deficit views about the students they will teach and their communities. These limiting beliefs can result in lower expectations of and poor outcomes for the students, and need to be addressed in all areas of teacher education, including mathematics courses. The assignment described in this manuscript provides an…

Communication is a critical skill for students to possess in preparation for college and their future careers. One way for students to communicate their ideas in all content areas is through writing. The English language arts portion of the Common Core State Standards (CCSSI 2010a) specifically states that students need to understand perspectives…

Children understand the natural world in ways that make sense to them before they learn any science in school. This column provides ideas and techniques to enhance science teaching. This month's issue helps students connect scientifically correct ideas to what makes sense to them.

Not only is science perceived by some as a hard-to-teach subject, but there are certain topics that all teachers regard as notoriously hard to teach. While their natural inclination may be to eliminate some of the details, teachers have to be careful not to water down the curriculum. How do they share the complexity of the natural world without…

Teaching economics to elementary aged children can be a challenge for classroom teachers. Using popular children's literature is an engaging and fun way to involve students in learning important economic lessons while integrating the content with language arts standards. This article will describe how to use children's books to teach economic…

As children develop misconceptions about animals they believe are dangerous, they also adopt attitudes that are difficult to change. Changing these attitudes is challenging for teachers. One animal that is easy to find but difficult for children to understand is a spider. As with most wild animals, they are difficult to teach about because…

Playing games in the mathematics classroom has seemingly become unfashionable. Is it that games suddenly are regarded as "lacking in purpose"? Maybe games are seen as incompatible with the "lesson plan and objectives"? Or is it that games and learning are not two words that are expected to appear in the same sentence? Prepare for the mythology…

With the implementation of Response to Intervention (RtI) throughout the United States and the strong evidence that validates the use of RtI as a way of supporting struggling students, teachers need ways to understand and reach tier 2 students within their classrooms. One approach to gaining a better understanding of students' misconceptions is…

As beginning teachers start to recognize the complexity of teaching mathematics in elementary school classrooms and how their new vision for teaching mathematics creates new challenges, they experience discomfort--a healthy awareness that much is to be learned. Brousseau (1997) notes that changes in the roles that are implicitly assigned to the…

Although most elementary students have had experiences with magnets, they generally have misconceptions about magnetism (Driver et al. 1994; Burgoon, Heddle, and Duran 2010). For example, students may think magnets can attract all metals or that larger magnets are stronger than smaller magnets. Students often confuse magnets with magnetic…

"Focus in Grade 2: Teaching with Curriculum Focal Points" describes and illustrates learning paths for the mathematical concepts and skills of each grade 2 Focal Point as presented in 'Curriculum Focal Points for Prekindergarten through Grade 8 Mathematics". It includes representational supports for teaching and learning that can facilitate…