One danger of integrating inquiry-based problem-solving activities into mathematics lessons is that different strategies could be accepted without in-depth discussions on the cogency and efficiency of the strategies. To overcome this issue, Japanese teachers typically go through a series of lesson-study-based teacher learning sessions and learn…

Earthquakes, lightning, and history-changing ideas are classic examples of powerful, unpredictable forces of nature. These sorts of phenomena have been difficult to explain and predict, an often frustrating fact as humans try to understand and control the significant influences in our lives. Historically, such phenomena have been attributed to…

Mitochondria are surrounded by two membranes (outer and inner mitochondrial membrane) that separate two mitochondrial compartments (intermembrane space and matrix). Hundreds of proteins are distributed among these submitochondrial components. A simple biochemical/immunological procedure is described in this test to determine the localization of…

A simple nonstiff linear initial-value problem is used to demonstrate the amplification of round-off error in the course of using a second-order Runge-Kutta method. This amplification is understood in terms of an appropriate expression for the global error. An implicit method is then used to show how the roundoff error may actually be suppressed.…

Extending a recent paper by Derek Holton, we show how to represent the algorithm for the Frog Problem diagrammatically. This diagrammatic representation suggests a simpler proof of the symmetrical case (equal numbers of frogs of each colour) by allowing the even and odd cases to be treated together. It also provides a proof in the asymmetrical…

Parents and caregivers can maximize children's engagement with educational television programming by co-viewing and discussing concepts and issues during and following episodes, and parents and caregivers can poach ideas and processes from these programs and apply them to their own interactions with children. School librarians might also consider…

Case-based instruction (CBI) offers a promising method for promoting problem-solving skills in learners. However, during CBI, the instructor shoulders major responsibility for shaping the learning that takes place. Research indicates that the facilitation techniques used during case discussions influence what gets covered, and to what extent,…

In light of the U.S. Senate's designation of March 15, 2016 as "National Speech and Debate Education Day" (S. Res. 398, 2016), it only seems fitting that "Communication Education" devote a special section to the role of speech and debate in civic education. Speech and debate have been at the heart of the communication…

Many youth do not pursue engineering because they do not see how it connects to their lives and interests. Concerned about this problem, the National Research Council (2012) suggested ways that teachers can make engineering more relevant and accessible to youth who have not traditionally pursued careers in this field. According to the National…

This article presents two innovative tools--the Mathematics-Literacy Planning Framework and Mathematics-Literacy Implementation Checklist--which are designed to help instructional coaches and specialists support teachers to meet the challenges of the mathematics-literacy integration goals of the Common Core. Developed with teacher input, these…

At the centennial annual meeting of the "Association of American Colleges & Universities" (AAC&U) in January 2015, there was an announcement to participants of the release of the "LEAP Challenge." The key concept at the center of the LEAP Challenge is that all college students need to prepare to contribute in a world…

Recent studies have shown that strengths in spatial skills are a key to success in STEM (science, technology, engineering, and mathematics) careers. However, these skills are undervalued in our educational system and thus seldom incorporated in classroom teaching. As a first step towards changing the current practices, we worked with a group of…

There has been a spike in negative comments about mathematics and standards since the implementation of the Common Core State Standards. Regardless of whether the comments are fueled by social media or traditional media, educators need to be armed with strategies for helping parents understand, navigate, and embrace the Common Core's mathematics…

This paper discusses a classroom experience in which a group of prospective secondary mathematics teachers were asked to create, cooperatively (in class) and individually, problems related to Viviani's problem using a problem-posing framework. When appropriate, students used Sketchpad to explore the problem to better understand its attributes…

With the implementation of the National Council of Teachers of Mathematics recommendations and the adoption of the Common Core State Standards for Mathematics, modeling has moved to the forefront of K-12 education. Modeling activities not only reinforce purposeful problem-solving skills, they also connect the mathematics students learn in school…