This study explored how mathematics content and methods courses for preservice elementary and middle school teachers could be improved through the integration of a set of instructional materials based on the National Assessment of Educational Progress (NAEP). A set of eight instructional modules was developed and tested. The study involved 7…

This collective case study analyzes the use of manipulatives in math lessons developed and taught by 4 groups of elementary teachers (K-8) involved in lesson study as part of a professional development program. The study found that in three of four lessons studied manipulative use was turned into an end in and of itself, rather than a tool, and…

Many fundamental geometric figures can not be constructed on the familiar square geoboard (e.g., equilateral triangle, regular hexagon). Activities which can be used with an isometric geoboard for study of these figures are catalogued. (SD)

Students in nine classes were randomly assigned to treatment groups receiving (1) written comments on their homework papers or (2) no comments. In two of the classes, the students receiving comments showed achievement superior to that of the others. In the remainder of the classes there was no difference. (SD)

After discussing the objectives and value of career education program, the author describes and lists career related mathematics units for elementary and secondary students. (SD)

Use of the Business and Office Career Education Curriculum (BO-CEC) in elementary and junior high schools is described. (SD)

Using the methods described, pattern representation of operations in modular systems can be developed. (SD)

The introduction of prime numbers in the intermediate grades should be handled with care or the concept will appear arbitrary, artificial, and unreal to the pupils. The approach suggested here is in the form of a game-like activity. A knowledge of multiplication and factors is a prerequisite. (BB)

Encourages elementary and secondary school mathematics teachers to foster skill development in approximation, estimation, interpolution and orders of magnitude. (CP)

Instructional strategies related to the teaching of measurement scales are provided. Examples of nominal, ordinal, interval and ratio scales are included. (CP)

The construction of a measurement device to determine elevation is described. Activities for use with the device for upper elementary and secondary students are included. (CP)

Instructional techniques are given for the use of calculators in (1) finding prime numbers, (2) solving trigonometric equations, and (3) solving polynomial equations. (CP)

Discusses the importance of the use of models in modern science. Suggests that models can make a significant contribution to the teaching of science and mathematics. Explains that representative models, analogue models, logical models, and theoretical models are most commonly used models in science and mathematics. (TW)

Promotes the use of computers in teaching not only to solve problems but also to help students be better at analyzing problems and developing procedures for their solution. Outlines several problems where a computer-assisted analysis can help give students a thorough understanding of the topic. (TW)