Presents a series of five activities that introduce division of fractions through real-world situations. Discusses problems related to resurfacing a highway, painting dividing stripes on a highway, covering one area A with another area B, looking for patterns, and maximizing the result of a division problem. Includes reproducible worksheets. (MDH)

Presents an account of the historical evolution of the definition of variable and the way the concept is currently treated in textbooks. Shares activities to promote student discussion on the use of variables as constants, as quantities that vary, and as parameters. Provides a reproducible worksheet. (MDH)

This article is concerned with the learning of mathematics before the commencement of formal schooling. Describes the experiences of two students from four main sets of data: formal and informal measures of mathematics achievement, the learning environment in the home, and observations during teacher-led sessions concerned with mathematical…

Discusses how a single problem can be utilized to discuss mathematical skills and concepts at several different levels. Presents a problem involving fractions examined at the following four levels according to the abilities of the students: (1) finding solutions; (2) identifying methods for finding solutions; (3) exploring similar examples; and…

Discussed is the process of translating situations involving changing quantities into mathematical relationships. This process, called dynamical modeling, allows students to learn new mathematics while sharpening their algebraic skills. A description of dynamical systems, problem-solving methods, a graphical analysis, and available classroom…

Discusses how children's books can engage students in communicating mathematical ideas. Describes situations in which teachers use literature as a stimulus for thinking, listening, writing, speaking, and reading about mathematics. (12 references) (MDH)

The fair test is predominately used by primary teachers participating in a science-education project with King's College London. Debates whether this level of use of fair test investigations is appropriate. (DDR)

Considers college student apprehension when encountering new information technologies, CD-ROMs in particular, and proposes a variety of active learning exercises. Topics include information proliferation, library anxiety, computer anxiety, active learning, learning styles, problem solving, indexing exercises, search strategy worksheets,…

Explains that authentic teaching and assessment enable students to utilize their prior knowledge, recent learning, and critical thinking and problem-solving skills in real-world contexts. Describes examples of authentic teaching and assessment that use the "Voluntary National Content Standards in Economics" as a framework for economics…

Much of traditional schooling in America is built around systems of compliance and control, characteristics which stifle the creative and entrepreneurial instincts of the children who are subjected to these tactics. This article explores a different approach to education, one that involves capturing the interest of the student through the use of…

The Field Trip to the Moon program uses an inquiry-based learning approach that fosters team building and introduces students to careers in science and engineering. The program components include a DVD and classroom investigations. The compelling DVD (not included here) provides essential information about Earth and the Moon. The hands-on…

Many of the most talented authors and artists of the past and present have shared their thoughts and their gifts with young children through picture books. Many picture books allow young children to explore important ideas and to stretch their minds far beyond rote memorization. Young children absorb knowledge at a very rapid pace. In an age of…

Research is only beginning to show the benefits of the effective use of manipulatives with students who have disabilities. This article highlights how teachers can incorporate three manipulative instructional strategies to help students with high-incidence disabilities.

This guide contains activities that emphasize hands-on involvement, prediction, data collection and interpretation, teamwork, and problem solving. It begins with background information on the history of rocketry, scientific principles, and practical rocketry. Following the background sections are a series of activities that demonstrate the basic…

"Investigations in Math and Science AB" is an annual science elective for students in grades 7-12 in Los Angeles Unified School District. Section 1 of this guide provides teachers with a discussion of the course content, including the course description, representative objectives, required instructional units, and enrichment activities.…