A series of problem solving situations designed around a hypothetical birdhouse factory is explored. The original material is designed around solving systems of equations, but the approach used is designed to be easily modifiable to incorporate other mathematical content. (MP)

Outlines two experiments by which several different mathematical topics can be integrated into the unifying theme of oscillating pendulums, as part of a secondary school Algebra II and Trigonometry class. (CS)

The construction and use of monochords is presented as a means of presenting students with an unusual and stimulating path to learn about the relationships of music and mathematics. Knowledge related to ratios, logarithms, and application of algebra is noted to be part of this relationship. (MP)

An approach to using the method of least squares, a scheme for computing the best-fitting line directly from a set of points, is detailed. The material first looks at fitting a numerical value to a set of numbers. This provides tools for solving the line-fitting problem. (MP)

This study investigated students' understanding of two mathematical relations as measured by conservation tasks. Thirty students were interviewed, half each at the middle and high school levels. The results suggest that the ability to conserve equation or function varies among pupils of different ages, sexes, and mathematical backgrounds. (MP)

A technique is illustrated for solving relative motion problems using a maneuvering board and vector algebra. The technique can be used to visually illustrate properties of vector algebra in a non-theoretical context. (MP)

Comparison of seven levels of student-teacher compatibility with student achievement found a positive significant relationship between total compatibility and compatibility in the personal need for inclusion with student achievement. Limited evidence was also found for a relationship between achievement and pupil-teacher compatibility in the…

By providing an example problem in solving sets of nonlinear algebraic equations, the advantages and disadvantages of two methods for its solution, the tearing approach v the Newton-Raphson approach, are elucidated. (CS)

There were 120 pupils in years 1 to 5 from two schools which were interviewed using specially prepared tasks to study the variety of interpretations given to letters by adolescents. Results indicate that two distinct conceptual understandings of the role played by a letter in relation to geometrical data exist in pupil's thinking. (Author/TG)

Approaches to teaching verbal problems that are interesting and useful are reviewed. Four basic difficulties in teaching problem solving are also covered. (MP)

A description is given of an Algebra II-Chemistry I combined high school class being taught in an attempt to coordinate chemistry topics with related mathematics topics. (MP)

This paper discusses the process of investigating a mathematical situation, making conjectures, formulating an equation, then using mathematical induction to show the result is valid. Several examples appropriate for secondary school level are given. (DT)

Examples are given of computer programs which teach the concept of function (including domain of the function, a change of argument, and composition of functions). (DT)

Specific procedures are outlined for teaching first-year algebra in such a way that students are given a reasonable voice in how and what they are taught and are allowed to learn at varying rates and from different materials. (DT)

Annual records of the one-mile sun can be used to introduce a variety of statistical ideas including the scatter diagram, theoretical vs. observed values, and normal equations. (SD)