Describes group sessions in which children constructed frameworks from cardboard strips and paper fasteners and used these to develop geometric concepts. Numerous illustrations are included. (MA)

Evidence on the decline in preparation of entering calculus students and the relationship to high school preparation is presented, focusing on the trend toward the de-emphasis of trigonometry and analytic geometry in favor of calculus. Data on students' perception of the adequacy of their preparation are also presented. (Author/MN)

A classroom activity is described where students hunt for classroom objects that are answers to locus problems. Sample problems are included. (MN)

Reviews methods of determining apparent dip and highlights the use of a device which consists of a nomogram printed on a protractor. Explains how the apparent-dip calculator-protractor can be constructed and outlines the steps for its operation. (ML)

Brief articles are included on dropping perpendiculars, working with rational exponents, and finding the square root with base 10 blocks. (MNS)

A mathematics learning hierarchy was developed, with examples of lateral and vertical transfer instructional treatments--achievement only, or achievement with understanding--were used with 177 eighth and ninth graders. The achievement with understanding treatment was better for lateral transfer for most students, and vertical transfer for the more…

The five levels of the van Hiele theory are described. Then interviewing tasks designed to be presented to students in kindergarten through college are presented. Finally, responses from 14 interviews are discussed, with implications for teaching geometry. Extensive references are included. (MNS)

The project described in this article grew from the observation that many geometry students are unable to see anything in a diagram beyond a static presentation. A computerized microworld called "Motions" is described, with illustrations. (MNS)

Presented are geometry activities which require only colored construction paper cut into simple shapes, paste or glue, and large sheets of newsprint or art paper on which to paste designs. The activities, which may be done alone or in groups, are varied in content and difficulty. (JN)

Proposed is that the present sequence of algebra followed by geometry leads to frustration. Students should be given the basic skills they need to survive in advanced mathematics and chemistry, with emphasis on percentage and ratio problems. (MNS)

These papers presented at a symposium describe how tenth grade students would be taught the slope of a line in geometry using three different approaches to teaching theory: behaviorism, Piagetian cognitive development, and information processing. Analyses of each approach focus on manner of learner cooperation and differing teacher role. (MBR)

Written for all teachers of young children, this book illustrates activities that promote early mathematics development for children ages three to five and "showcases" mathematics for the young child. The thirty-five activities in this book are distributed into five content areas: number and operations, geometry, algebra, measurement, and data…

A systematic series of studies by De Bock et al. revealed a strong, deep-rooted tendency among secondary school students to apply the proportional model in non-proportional problems involving lengths, areas and volumes of similar geometrical figures. In these studies, however, items were used involving direct measures for area and volume as well…

We explore how 13 year-olds construct meanings around the notion of curvature in their classroom while working with software that combines symbolic notation to construct geometrical figures with dynamic manipulation of variable. The ideas of curve as intrinsic dynamic construction, and curve as object with properties related to its positioning on…

This illustrated book examines everything having to do with the square. It begins with a basic definition of the square and continues by giving some examples of squares and other interesting historical information. Some ideas addressed include why cities are laid out in square blocks, how buildings are designed from squares and cubes, and how…