The projects Xmath (Bringslid and Canessa, 2002) and dMath (Bringslid, de la Villa and Rodriguez, 2007) were supported by the European Commission in the so called Minerva Action (Xmath) and The Leonardo da Vinci programme (dMath). The Xmath eBook (Bringslid, 2006) includes algorithms into a wide range of undergraduate mathematical issues embedded…

Hypothesis testing is one of the more difficult concepts for students to master in a basic, undergraduate statistics course. Students often are puzzled as to why statisticians simply don't calculate the probability that a hypothesis is true. This article presents an exercise that forces students to lay out on their own a procedure for testing a…

In this article, the authors share an episode from an after-school program and focus on eight of the twenty-four urban, sixth-grade students who volunteered to work on mathematical problem solving. When students are given a supportive environment, open-ended tasks, and thoughtful teacher questioning, their reasoning can develop naturally. By…

Children born into poverty in the United States are at higher risk for a number of nonresilient outcomes. An extensive body of work examines and then confirms the qualities of resilient children, emphasizing the importance of four social-psychological characteristics--social competence, problem solving, autonomy, and sense of purpose--and three…

For over a decade, research studies of mathematics education in high-performing countries have pointed to the conclusion that the mathematics curriculum in the United States must become substantially more focused and coherent in order to improve mathematics achievement in this country. To deliver on the promise of common standards, the standards…

The ACT Against Violence Parents Raising Safe Kids program (ACT-PRSK) is an interactive violence prevention program developed by the American Psychological Association for parents of young children. The program teaches and supports parents in the areas of child development, roots and consequences of violence, anger management for adults and…

This article describes how to create an innovative learning (iLearning) organization. It begins by discussing the life cycle of knowledge in an organization, followed by a description of the theoretical foundation for iLearning. Next, the article presents an example of iLearning, followed by a description of the distributed nature of work, the…

I report on the findings from research and literature on (a) use of symbols in mathematics, (b) algebraic/trigonometric expressions, (c) solving equations, and (d) functions and calculus. From these, some insights and implications for teaching and learning are derived.

For teachers of a second language (L2), the role of grammar instruction in the classroom has been a perennial subject of debate and has undergone many changes over the years. For example, the once well-respected traditional methods that relied on extensive drilling and memorization of grammar evoked a backlash in the 1970s, which resulted in new…

Today's college graduates confront the first truly worldwide environmental challenge, that of balancing the carbon budget--the stocks and flow of carbon through the biosphere--to ameliorate the negative consequences of global climate change. Colleges and universities have an obligation to ensure that students are provided with the knowledge and…

Critical thinking is a learned skill that requires instruction and practice. Business education instructors at both the secondary and post-secondary levels can enhance students' critical thinking skills by (1) using instructional strategies that actively engage students in the learning process rather than relying on lecture and rote memorization,…

While most high school juniors in Howard County, Maryland, were quietly studying in their classrooms, students enrolled in the Energy, Power and Transportation Academy (EPT) of the Applications and Research Lab (ARL), in Ellicott City, were making a lot of noise, welding and cutting away to build an all-terrain wheelchair. The author was a part of…

Each year, more teachers learn about the successful intervention program known as Math Recovery (USMRC 2008; Wright 2003). The program uses Steffe's whole-number schemes to model, understand, and support children's development of whole-number reasoning. Readers are probably less familiar with Steffe's fraction schemes, which have proven similarly…

At United States Military Academy, a unit on biological modeling applications forms the culminating component of the first semester core mathematics course for freshmen. The course emphasizes the use of problem-solving strategies and modeling to solve complex and ill-defined problems. Topic areas include functions and their shapes, data fitting,…

This article talks about technological education in Ontario schools through their Broad-Based Technologies model. The philosophy that underlies the teaching of Broad-Based Technology is that students learn best by doing, with an emphasis on problem solving. The curriculum is an activity-based, project-driven approach to learning that provides…