We present an alternative method to that of Scott (D. Scott, "When is an ordinary differential equation separable?", "Amer. Math. Monthly" 92 (1985), pp. 422-423) to teach the students how to discover whether a differential equation y[prime] = f(x,y) is separable or not when the nonlinearity f(x, y) is not explicitly factorized. Our approach is…

Introductory business statistics students often receive little guidance on how to apply the methods they learn to further business objectives they may one day face. And those students may fail to see the continuity among the topics taught in an introductory course if they learn those methods outside a context that provides a unifying framework.…

As noted by researchers (Funk, Hagen, & Schimming, 1999; Squire, 2006; Williams, 2003), many youth today spend more time playing in digital worlds than reading, or watching TV or films. Though many people, parents and teachers, still take video games as mere entertainment, "gaming culture" (Sanford & Madill, 2007) and "game…

"In the three decades since the 1980 publication of An Agenda for Action, the National Council of Teachers of Mathematics (NCTM) has consistently advocated a coherent prekindergarten through grade 12 mathematics curriculum focused on mathematical problem solving" (NCTM, 2009, p. xi). Despite a call for secondary mathematics students to…

To better support students' conceptual understanding of algebra in the information age, we need an improved understanding of how students interpret connections between multiple representations using CAS as a representational toolkit. This research centers on the development of an analytic framework for categorizing students' connections between…

In Thailand, the Center for Research in Mathematics Education (CRME) has been implementing Japanese Lesson Study (LS) since 2002. An adaptive feature of this implementation was the incorporation of four phases of the Open Approach as a teaching approach within the three steps of the LS process. Four phases of this open approach are: 1) Posing…

Creative movement is an ideal way to help young children develop critical-thinking and problem-solving skills. Most young children are, by nature, extremely physical. They delight in exploring the world with their bodies and expressing their ideas and feelings through movement. During creative movement experiences, children learn to think before…

This paper describes a tutorial programme developed at the University of Western Australia (UWA) to enhance medical students' learning processes within problem-based learning contexts. The programme encourages students to use more effective learning approaches by scaffolding the development of effective problem-solving strategies, and by reducing…

The role of a teacher is different from that in traditional mathematics instruction when the implementation of a lesson is based on students' ideas. The author's experience teaching the same lesson (of the latter format) to two different classes of pre-service teachers in an elementary mathematics methods course is described. Since whole-class…

The close relationship between charged particles and electromagnetic fields has been well known since the 19th century, thanks to James Clerk Maxwell's brilliant unified theory of electricity and magnetism. Today, electromagnetism is recognized as an essential aspect of human activity and has consequently become a major component of senior…

Roughly one-fifth of America's public school students attend rural schools. Low mathematics achievement scores in these communities suggest that math instruction needs to focus on the skills and content necessary for twenty-first-century jobs in contexts that are meaningful to these populations. This article describes how one rural school worked…

Science, Technology, Engineering, and Mathematics (STEM) education has become a key focus in the U.S. government's public education agenda. Many STEM degrees require the successful completion of undergraduate introductory organic chemistry (O-Chem), which is notorious for its difficulty and high attrition rate. Concept Maps (CM) have been used as…

The Power Card strategy is a strength-based intervention to promote social skills of children with autism spectrum disorders (ASD) by capitalizing on their special interests. Although preliminary studies have shown that the Power Card strategy is a promising approach to teach social skills, additional research is needed. The purpose of this study…

Cognitive readiness (CR) and performance for operational time-critical environments are continuing points of focus for military and academic communities. In response to this need, we designed an open source interactive CR assessment application as a highly adaptive and efficient open source testing administration and analysis tool. It is capable…

In a collaborative effort between the our university's department of chemistry and the academic resource center, we designed a model for general chemistry recitation based on a problem manipulation method in which students actively assess the skills and knowledge used to answer a chemical problem and then manipulate the problem to create a new…