This article describes the two types of reasoning in fraction conceptions that students often use, "gap" and "missing piece," and one that the authors aspire their students to reach, "residual." Each of these types of reasoning are underpinned by a different conception of fractions. Students who use "gap…

Area models are an important strategy for representing and solving multiplication problems under the Common Core State Standards for Mathematics (NGA Center and CCSSO 2010). The hands-on task presented in this article, featuring differentiation and open-ended learning, sets up students to discover area models for themselves. Organized around…

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 article, fourth graders investigate the physical and behavioral adaptations of crayfish. Because crayfish are native to the area and many students have experience observing them in local streams, the author decided to use these organisms to explore the relationship between the structure of their various body parts and how those structures…

Natural disasters often receive massive media attention. The headlines can engage students to think mathematically and scientifically about the world around them. 'Principles and Standards for School Mathematics' explicitly encourages instruction where students "recognize and apply mathematics in contexts outside of mathematics" (NCTM…

The fifth-grade curriculum presents many opportunities to use students' prior mathematical knowledge as a way to bridge new and more difficult mathematical ideas. In this article, the authors document an area tiling task given to fifth-grade students to connect aspects of area measurement covered in earlier grades to grade-level standards such as:…

The twenty-first century has seen an increased call to train students to craft mathematical arguments. The third of the Common Core's (CCSS) Standards for Mathematical Practice (SMP 3) (CCSSI 2010) calls for all mathematically proficient students to "construct viable arguments" to support the truth of their ideas and to "critique…

The article uses vignettes to illustrate a small group of of grade 5 students who worked on different types of temperature problems (Wessman-Enzinger and Tobias 2015). The Common Core State Standards for Mathematics (CCSSM) recommends including contexts, such as temperature, paired with the introduction to integers in grade 6 and integer…

Recent trends highlight the connection between engagement in physical activity and cognitive function. This is a key point to consider when designing physical education curricula and the activities that are included. By exposing students to material in a variety of ways students' interest can be sparked, yielding greater learning and understanding…

This article describes a novel program for third through fifth grade called "What is the PE Password?" that teaches vocabulary words and concepts without sacrificing activity time in order to support Common Core learning.

Watching a debate can help people understand multiple points of view. At the conclusion of a debate, a consensus might occur after a deep analysis and discussion of the issues. Most students will participate in a class debate at some point in their schooling, but chances are that debate will not take place in math class. What could there be to…

The purpose of this article is to explore how teachers can use biography breaks to address the National Council of the Social Studies C3 inquiry framework and in the process meet requirements of the Common Core State Standards. We begin by illustrating and explaining biography breaks. Then we introduce the C3 framework and explain as well as…

Since the 2001 passage of the No Child Left Behind Act (NCLB), test-based accountability has been an organizing principle--perhaps "the" organizing principle--of efforts to improve American schools. But lately, accountability has been under fire from many critics, including Common Core opponents and those calling for more multifaceted…

Comprehending expository reading material is a challenge for many students. Research has shown that students' expository reading comprehension can improve with the help of text structure instruction. The purpose of this article is to present teachers with a framework for effectively implementing text structure instruction in their classrooms.…

Science teaching continues to move away from teaching science as merely a body of facts and figures to be memorized to a process of exploring and drawing conclusions. The Next Generation Science Standards (NGSS) emphasize eight science and engineering practices that ask students to apply scientific and engineering reasoning and explanation. This…