A Common Core expectation of high school mathematics students is to analyze functions using different representations. One type of function to be analyzed is piecewise-defined functions. The author has found most approaches to the study of piecewise functions to be abstract, disconnected from any context, and difficult for students to understand.…

There's a lot to love about this newly expanded book in the Picture-Perfect Science series: You can combine STEM and reading through appealing lessons that are just right for your second-grade students. Also, reading comprehension strategies are embedded in all 12 of the ready-to-teach lessons, 11 of which are updated and one brand-new. The goal…

Emphasis in teaching and learning statistics has shifted from memorizing formulas and procedures to investigating situations, creating models, and using data to understand problems. The Common Core State Standards for Mathematics (CCSSM) (NGA Center and CCSSO 2010) Grade 8 Statistics and Probability content standards drive this point home.…

Elementary teachers often avoid the struggle of matching a science activity to a specific standard by using a lesson planning process known as Understanding by Design (UBD) (Wiggins and McTighe 2005). A main tenet of the UBD model involves starting at the end rather than at the beginning of the planning process. By starting at the end and visiting…

Financial skills, like mathematical ones, must be built on a firm foundation. Whether one is putting money in a piggy bank or a 401(k), and purchasing a toy car or a real one, everyone needs the understanding of financial issues and math skills necessary for making sound decisions. The elementary classroom is the perfect place to introduce…

Mathematical modeling, a practice standard in the Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010), is a process by which students develop and use mathematics as a tool to make sense of the world around them. Students investigate a real-world situation by asking mathematical questions; along the way, they need to decide how to use…

To support elementary school students in finding a solution to an engineering problem, the authors developed a series of five lessons using the 5E Instructional Model (Bybee 2014). The lessons align with the "Next Generation Science Standards" and the "Common Core State Standards" and integrate the teaching and learning of…

"Mathematical Thinking: From Assessment Items to Challenging Tasks" is a compilation of 36 problem-based lessons that encourage students to engage in productive struggle and deep thinking. Its 36 full-length lessons for grades 2-8 are each inspired by an actual test item from the National Assessment of Educational Progress (NAEP).…

The Common Core State Standards (CCSS) and other state standards have challenged teachers to rethink how they plan units and design their assignments within constraints of time and increasingly diverse classrooms. This article describes the author's efforts to create a coherent, useable set of tools to make his teaching at the unit and daily…

As high school students make more and more important decisions, their need for financial literacy increases significantly. To succeed in life, they need both an understanding of financial issues and the math skills to make financially sound choices. With all the requirements and standards to be met in high schools today, how can teachers find room…

To an outside observer, there is nothing really novel about whiteboarding. An observer passing a classroom would see students using dry-erase markers to write and sketch their ideas on large, dry-erase-type boards. However, like so many things in education, the subtleties that an outside observer might not notice are the precise things that make…

The authors of this article collaborated with fourth-grade teachers from two schools to support implementation of a research-based fraction and decimal curriculum (Rational Number Project: Fraction Operations and Initial Decimal Ideas). Through this study, they identified five indicators of rich conceptual understanding of decimals, which are…

Many teachers who educate students with significant intellectual disabilities struggle with the requirements for teaching academics linked to the Extended Common Core State Standards (ECCSS, 2010) while also balancing the need to teach functional skills. This article provides a practical way of creating thematic units that focuses on functional…

Part One of this article ("Technology and Engineering Teacher," 75(4), December/January, 2016) presented a process that science, math, engineering, and technology teachers could use to collaborate and design integrated STEM courses. A conceptual framework was discussed that could provide a premise that educators interested in delivery of…

Risko and Vogt provide a unique and progressive approach for engaging the professional learning of teachers of literacy, reading specialists, literacy coaches and instructional leaders, content specialists, and administrators. Their deliberate use of Professional Learning signals the importance of educators engaging in authentic and inquiry-based…