"Media Clips" appears in every issue of "Mathematics Teacher," offering readers contemporary, authentic applications of quantitative reasoning based on print or electronic media. The theme of this issue's "Media Clip" revolves around four items relating to lumber. These items include: A Q&A published in the…

In October 2014, an interesting new app became freely available in the Apple Store®. It is called PhotoMath®: (1) Hold a phone or tablet up to a mathematics problem in a textbook; (2) The app shows the answer to the problem; and (3) Select Steps to see the step-by-step process for getting from the problem to the solution. The app works for simple…

For years the text of choice for developing excellence as a teacher of K-12 students with moderate and severe disabilities, this clearly written work has now been revised and updated. Chapters provide step-by-step procedures for designing standards-based individualized education plans and evaluating and enhancing student progress. Methods and…

Automated theorem proving (ATP) for Propositional Classical Logic is an algorithm to check the validity of a formula. It is a very well-known problem which is decidable but co-NP-complete. There are many algorithms for this problem. In this paper, an educationally oriented implementation of Semantic Tableaux method is described. The program has…

The "Connecting With Others" curriculum for grades 3 through 5 will help students learn to be sensitive to differences, resolve conflicts without resorting to violence, and learn tolerance and acceptance of others. Includes 30 lessons divided into five skill areas: Concept of Self and Others, Socialization, Problem Solving and Conflict…

Constructing viable arguments and reasoning abstractly is an essential part of the Common Core State Standards for Mathematics (CCSSI 2010). This article discusses the scenarios in which a mathematical task is impossible to accomplish, as well as how to approach impossible scenarios in the classroom. The concept of proof is introduced as the…

The power of 3D printing technology has grown exponentially in just the past few years--people around the world are using 3D printers to prepare food, create tailored clothing, build cars and homes, and advance the medical field in ways that never seemed possible. In classrooms across the nation, 3D printers have become increasingly common because…

Emperor penguins, the largest of all the penguin species, attain heights of nearly four feet and weigh up to 99 pounds. Many students are not motivated to learn mathematics when textbook examples contain largely nonexistent contexts or when the math is not used to solve significant problems found in real life. This article's project explores how…

"Invention through Form and Function Analogy" is an invention book for teachers and other leaders working with youth who are involving students in the invention process. The book consists of an introduction and set of nine learning cycle formatted lessons for teaching the principles of invention through the science and engineering design…

Creative thinking is important to scientists and engineers as they frame their work and engage in the practices of their fields. Elementary-age children need opportunities to think about and develop an idea from its inception through to its conclusion to expand their thinking and engage in scientific processes. Generating and expanding on ideas…

This column presents ideas and techniques to enhance your science teaching. This month's issue shares information about a unit promoting scientific literacy and the engineering design process. The integration of engineering with scientific practices in K-12 education can promote creativity, hands-on learning, and an improvement in students'…

Research has found that students, particularly those in middle school and high school, believe that their participation in mathematics classrooms includes listening to teachers explaining, working in textbooks, and solving exercise problems quickly (Franke, Kazemi, and Battey 2007). In this article, the authors describe a classroom vignette and…

Educating future scientists and citizens is more effective if students are guided to correctly apply what they learned in school to their daily lives. This experience-based work is focused on the study of a well-known commercial product: cat litter. This material offers different starting points for a critical examination. Questions related to…

What if you could challenge your second graders to design an outdoor STEM classroom with a butterfly garden, birdbath, and sundial? With this volume in the "STEM Road Map Curriculum Series," you can! "Investigating Environmental Changes" outlines a journey that will steer your students toward authentic problem solving while…

This article presents a science, technology, engineering, and mathematics (STEM) activity, building an air cannon, in a mathematics classroom. It describes an investigation grounded in STEM concepts that elementary and middle school teachers carried out to think about ways of implementing STEM activities into their instruction. This particular…