This booklet was designed as a reference for teachers and students of physics on various types of data. Included are: (1) formulas for various constants involved in the study of gravity, electricity, magnetism, atomic physics, particles, and trigonometry; (2) a chart containing values of trigometric functions; (3) equations used in the study of…

This preapprenticeship preparation curriculum consists of 13 learning modules. Covered in the modules are the following: the nature and scope of apprenticeships, a pretest to assess students' mathematical skills, the General Aptitude Test Battery, interviews for an apprenticeship program, whole numbers, common fractions, decimal fractions,…

Discusses various representations of a curve and the relationships between them. Describes mathematical exercises which use Logo to derive a turtle procedure for graphically representing a cycloid. Provides a proof of the trigonometric series formula to show equality. (RT)

Presents three teaching ideas involving (1) results of participation in the annual American Statistical Association's poster contest for students in grades K-12; (2) a variation on an annuity problem in which the contribution each year is increased by a given percentage; and (3) concrete activities to help students understand the meaning of radian…

Discussed is the place and teaching of trigonometry in a NCTM Standards-based mathematics curriculum. Presented is how these standards can be implemented in a technology-rich environment that encourages reasoning, communication, problem solving, and confidence building. Examples focus on functions, graphical sense, modeling, and identities. (KR)

The quadratic function can be modeled in real life by a suspension bridge that supports a uniform weight. This activity uses concrete models and computer generated graphs to discover the mathematical model of the shape of the main cable of a suspension bridge. (MDH)

Uses conic sections, trigonometric functions, and polar coordinates to solve the problem of determining the shape of a baseball outfield fence, given the distances along the foul lines and to straightaway center field. Graphing programs and calculators are utilized to plot different solutions. (MDH)

Examples of composite functions present students with intriguing questions that they can explore using calculators and computers, geometric and algebraic methods, and approximation techniques. Student-centered activities allow students to make discoveries about functions. (MLN)

Presents activities which use graphing calculators to explore parametric equations of spirals, circles, and polygons. (MKR)

Describes three pieces of practical work (hands-on activities) which have been successful in Scottish secondary schools. Activities involve geotiles, working with percentages, and activities for higher mathematics. (PK)

Suggested are features which should be considered before selecting a specific interactive graphics package. Features that allow for accurate estimates of roots of functions and solutions to systems of equations are illustrated. Six graphics packages are compared including display, tabular options, misleading graphics, printing options, functions…

Presents a teaching model as an activity to introduce preservice secondary mathematics teachers to the law of cosines. The activity is student-centered in which students construct figures; measure angles and segments; calculate areas; investigate relationships; and communicate their results. (MDH)

The practice of students going to the boards to work problems has been a tradition in undergraduate education for over two hundred years. A study was conducted to determine what instructional techniques enabled students to better learn fundamental concepts in mathematics. This study identifies board work as a highly effective instructional…

This paper discusses the competency space approach to diagnosing misconceptions, skill, and knowledge acquisition. In some approaches that combine misconceptions, skill, and knowledge acquisition, the latent ability theta is used more or less as an insignificant element, but in the competency space approach, a multidimensional latent space is…

Designed to serve as a supplement for high school level mathematics, this publication contains activities which aim to enhance mathematical knowledge and skills and to assist students in understanding aerospace technology and its achievements. This volume updates an earlier supplement that was published in 1972. Problems are grouped into chapters…