Describes a fourth-generation ISD (instructional systems development) model, an integrative problem solving system that dynamically adjusts the authoring activities of instructional development by direct reference to a specific learning problem or need. Includes case studies that illustrate the three model components: situational evaluation,…

Discusses a program that offers students a phenomenon-oriented environment expressed in the fundamental concepts and language of chemical engineering such as mass and energy balancing, phase equilibria, reaction stoichiometry and rate, modes of heat, and species transport. (CCM)

Discusses the use of electronic mail within the general resolution and management of administrative problems and emphasizes the need for careful attention to problem definition and clarity of language. Presents a research-based five-step model for the effective use of electronic mail based on experiences at the University of Nebraska at Omaha.…

Explains modeling as a teaching approach and presents two examples of modeling, one example of poor modeling and one example of good modeling. (YDS)

While there is agreement that creativity is central to teaching, learning and curriculum in higher education, what is meant by creativity is not always clear. The term is often employed uncritically, in the singular, and is reified. Where creativity is used with specificity, this is often over-determined, so that the term remains limited to…

Discusses a real-world problem-solving lesson that emerged when a high school math teacher used a motion detector with a CBL and graphing calculator to obtain the bounce data of a ping-pong ball. Describes the lesson in which students collect bad data then fill in the missing parabolas that result using critical components of parabolas and…

As teachers and researchers belonging to two sister French engineering schools, we are convinced that the processes of value creation and management are essential in today's teaching of industrial engineering and project managers. We believe that such processes may be embedded in a three-part curriculum composed of value management and innovation…

This article discusses divisibility tests for any prime number.

We discuss a research-based theoretical framework based on affect as an internal representational system. Key ideas include the concepts of meta-affect and affective structures, and the constructs of mathematical intimacy and mathematical integrity. We understand these as fundamental to powerful mathematical problem solving, and deserving of…

In this book, Bob Hogan and Char Forsten introduce American mathematics educators to the model drawing process adapted from the much-acclaimed Singapore approach. They explain what model drawing is and why it's such an effective problem-solving tool. They show exactly how teachers can guide their students through the process, tell which key points…

This article describes the formation of a pedagogy-focused online discussion group for middle school mathematics teachers. Advice is offered for those seeking to establish similar conversations among their colleagues.

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.)

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…