The National Council of Teachers of Mathematics (2000) recommends that students at all grade levels be provided with instructional programs that enable them to "create and use representations to organize, record, and communicate mathematical ideas; select, apply, and translate among mathematical representations to solve problems; and use…

This article describes several methods from discrete mathematics used to simulate and solve an interesting problem occurring at a holiday gift exchange. What is the probability that two people will select each other's names in a random drawing, and how does this result vary with the total number of participants? (Contains 5 figures.)

In an era in which time is more compressed than it has ever been before, the life cycle of any innovation is extremely brief, and an unexpected, bold idea that is quickly put to work in the sphere of virtual reality can result in a "super-breakthrough" in the world of new industrial technologies. In order to accomplish cutting-edge…

In this article, the authors discusses Visualization in Technology Education (VisTE). VisTE units are designed to enhance students' knowledge in science, develop good visual and presentation skills, understand emerging technologies, and most of all help with the integration of standards that promote technological literacy. Technological changes…

Many students believe that math is something one learns about, but they do not understand that it is a tool for learning about other concepts. Mathematics is a language used to describe the relationship between objects, events, and time. Learning math requires that a student interacts with a system of symbols just as a person interacts with…

Many students who enter colleges and universities seem to be focused on memorizing and regurgitating information rather than on developing critical thinking and problem solving skills. Mentoring is crucial to help these students transition from the current approach to one that will be successful in college. Successful mentoring requires a…

A typical form of thinking to approach problem solutions humanly is thinking in analogous structures. Therefore school, especially mathematical lessons should help to form and to develop corresponding heuristic abilities of the pupils. In the contribution, a summary of possibilities of mathematics lessons regarding this shall particularly be…

In this article, the author presents an innovative approach to teaching multiplication facts for children in middle school or younger. After introducing the dangers of some contradictions that persist, relating a brief summary of related research and guidelines regarding math facts and their relation to strategic approaches to more complex math,…

The purpose of this article is to provide an overview of research-based interventions that incorporate self-regulation strategies to improve mathematics performance of students with learning disabilities (LD). Self-regulation is a metacognitive function essential to academic success. Students with LD are notoriously poor at self-regulation and…

One issue that all teachers at all proficiency levels deal with in teaching music--whether in individual or group settings--is how to effectively solve problems encountered during lessons or rehearsals. What differentiates novice teachers from master teachers is the skill and efficiency with which they solve these problems. The seemingly…

The field of education is experiencing a rapid shift as internet-enabled distance learning becomes more widespread. Often, traditional classroom teaching pedagogical techniques can be ill-suited to the online environment. While a traditional entry-level class might see a student attrition rate of 5-10%, the same teaching pedagogy in an online…

This guide is designed to support the development of mathematics proficiency for youth in short-term juvenile correctional facilities. Mathematics proficiency includes mastery and fluency in foundational numeracy; an understanding of complex, grade-appropriate concepts and procedures; and application of those competencies to solve relevant,…

This paper describes a project that underscores the critical role of this nation's museums and libraries in helping citizens build such 21st century skills as information, communications and technology literacy, critical thinking, problem solving, creativity, civic literacy, and global awareness. Recognizing that every individual requires these…

Education is a fundamental right for all children which must be guaranteed in every nation. Unfortunately, children with disabilities have been marginalized in many countries preventing them from accessing an appropriate education. Although some countries have legislation that guarantees educational rights to children with disabilities, some of…

The increased popularity of lesson study in the United States--an approach to professional development initiated in Japan more than a century ago--is due in large part to findings from the 1995 Trends in International Mathematics and Science Study (TIMSS) video study and the subsequent book, "The Teaching Gap" (Stigler and Hiebert 1999). "Lesson…