In 2010, State College Area School District (SCASD) in Pennsylvania, USA, agreed to help develop a virtual international classroom exchange called the Schoolwires Greenleaf program. The program's project-based curriculum paired U.S. students with Chinese learners to collaborate, foster global citizenship, and prepare students for the digital work…

In this paper different type of mathematical explanations are presented in relation to the mathematical problem of probabilities Monty Hall (card version) and the computational tool Latent Semantic Analyses (LSA) is used. At the moment the results in the literature about this computational tool to study texts show that this technique is…

Terms to be familiar with before you start to solve the test: growth factor signaling, epidermal growth factor, tyrosine protein kinase, tyrosine phosphorylation, ubiquitin, monoubiquitination, polyubiquitination, site-directed mutagenesis, transfection, expression vector, cDNA, immunoprecipitation, SDS-polyacrylamide gel electrophoresis, Western…

Memory serves critical functions in everyday life but is also prone to error. This article examines adaptive constructive processes, which play a functional role in memory and cognition but can also produce distortions, errors, and illusions. The article describes several types of memory errors that are produced by adaptive constructive processes…

How many rods does it take to brace a square in the plane? Once Martin Gardner's network of readers got their hands on it, it turned out to be fewer than Raphael Robinson, who originally posed the problem, thought. And who could have predicted the stunning solutions found subsequently for various generalizations of the problem?

We describe the calculation of the distribution of the sum of signed ranks and develop an exact recursive algorithm for the distribution as well as an approximation of the distribution using the normal. The results have applications to the non-parametric Wilcoxon signed-rank test.

Collaborative evaluation is an approach that offers, among others, many advantages in terms of access to information, quality of information gathered, opportunities for creative problem-solving, and receptivity to findings. In the last decade, collaborative evaluation has grown in popularity along with similar participatory, empowerment, and…

The Local Control Funding Formula (LCFF) has introduced positive and much-needed change to California's approach to K-12 education funding by allocating resources according to student need and freeing districts to make decisions that address local priorities. For all of LCFF's advantages, however, the Local Control Accountability Plans (LCAPs) in…

In this article Debbie Verzosa and Joanne Mulligan suggest a new approach to addressing the difficulties that NESB students encounter when solving word problems.

Newton's second law is one of the cornerstones of the introductory physics curriculum, but it can still trouble a large number of students well after its introduction, hobbling their ability to apply the concept to problem solving and to related concepts, such as momentum, circular motion, and orbits. While there are several possibilities for…

Ratio, rate, and proportion are central ideas in the Common Core State Standards (CCSS) for middle-grades mathematics (CCSSI 2010). These ideas closely connect to themes in earlier grades (pattern building, multiplicative reasoning, rational number concepts) and are the foundation for understanding linear functions as well as many high school…

Symmetry properties of molecules are generally introduced in second-year or third-year-level inorganic or physical chemistry courses. Students generally adapt readily to understanding and applying the operations of rotation (C[subscript n]), reflection (s), and inversion (i). However, the two-step operation of improper rotation-reflection…

The WHAT'S UP? strategy is a type of interactive writing between a student with social, emotional, and/or behavioral challenges and an adult. The written exchange serves as a technique for involving a student in "talking" about what can be better and engaging the student in a problem-solving process. The strategy encompasses…

This article was presented as the 23rd Delphine Hanna Lecture and focused on reflections on leadership roles and qualities of excellent administrators. The three roles of administrators are to manage, solve problems, and develop a vision. Quality leaders know that it is not the message that is delivered, but how the message makes the recipient…

In this article, authors Jordan T. Hede and Jonathan D. Bostic present a classroom activity that challenges upper elementary students' understanding of area beyond a memorized formula and explores the meaning behind students using A = l × w to solve rectangular area problems. This activity will deepen students' understanding of the area…