This article describes a technology-based and hands-on instructional intervention designed to advance middle school students' understandings of fractions. This problem-solving experience is based on the principles of Enhanced Anchored Instruction (EAI) and proved instructionally worthwhile and motivating to teachers and students in both inclusive …

The NCTM calls for the use of rich tasks that encourage students to apply their own reasoning to problem situations. When students work through algebraic generalization tasks, their reasoning often elicits a variety of strategies (Lannin 2003; Stacey 1989; Swafford and Langrall 2000). Challenges for teachers include facilitating student awareness…

A WebQuest is an inquiry-based lesson plan that uses the Internet. This article explains what a WebQuest is, shows how to create one, and provides an example. When engaged in a WebQuest, students use technology to experience cooperative learning and discovery learning while honing their research, writing, and presentation skills. It has been found…

Public education has been criticized for under-achieving schools and one key phrase for long-term school success is "school leadership." Taken comprehensively, leadership emphasizes the importance of where the leader stands at times of decision, challenge, and conflict. "The Art of War," written by Sun Tzu, a Chinese military strategist more than…

This article explains the need for comprehensive education in problem solving in primary and secondary schools. The article then describes strategies for providing comprehensive education in problem solving. These strategies include embedding problem solving training in classes across the curriculum and making minor adjustments to current efforts…

This newsletter summarizes an IES practice guide titled "Organizing Instruction and Study to Improve Student Learning," which aims to supplement and inform teachers' instincts and experiences by identifying research-based instructional strategies that teachers of all content areas can use to improve student learning. The practice guide makes seven…

In this paper, an attempt is made to determine if peer collaboration increases student achievement in teaching elementary mathematics. Empirical evidence and philosophical problems with constructivist epistemology are considered. Two things are argued: first, it is reasonable to think, for elementary mathematics, peers collaboration is useful…

The boundary element method provides an excellent platform for learning and teaching a computational method for solving problems in physical and engineering science. However, it is often left out in many undergraduate courses as its implementation is deemed to be difficult. This is partly due to the perception that coding the method requires…

Smart change is a simple yet powerful means to help administrators, faculty, staff, and stakeholders better understand the issues surrounding change initiatives at their institutions. A comparison of three approaches to change: routine, strategic, and transformative provides the foundation for improved planning by focusing on the targeted change…

This article shows how to use six parameters describing the International Space Station's orbit to predict when and in what part of the sky observers can look for the station as it passes over their location. The method requires only a good background in trigonometry and some familiarity with elementary vector and matrix operations. An included…

Although the term "risk-taking" often has negative connotations, the reality is that the willingness to engage in some risky activities provides opportunities to learn new skills, try new behaviours and ultimately reach our potential. Challenge and risk, in particular during outdoor play, allows children to test the limits of their…

Mathematical software packages such as Polymath, MATLAB, and Mathcad are currently widely used for engineering problem solving. Applications of several of these packages to typical chemical engineering problems have been demonstrated by Cutlip, et al. The main characteristic of these packages is that they provide a "problem-solving environment…

This paper describes the use of quantities in video games by young people as part of a broader effort to understand thinking and learning across naturally occurring contexts of activity. Our approach to investigating the use of quantities in game play is ethnographic; we have followed eight children over a six-month period as they play their own…

This article allows students to apply their knowledge and experience of area and volume to find the volume of Norris Lake, a large reservoir lake in Tennessee. Students have the opportunity to demonstrate their skills in using maps and scales as well as to incorporate the use of technology in developing the solution. This project satisfied the…

This article illustrates the kinds of mathematical discussions that should occur with students in classrooms. The authors use a sample from professional development to show discussions that focus on the relationships of events within a problem that led to each representation, the connections between the ways participants chose to represent those…