A project to tempt students to pose questions, state hypotheses, measure, estimate, compute, and evaluate their answers in terms of a problem they can see and manipulate is described. Selecting landmarks, collecting data, developing a blueprint, interior decoration, and fabrication are among the points discussed. (MNS)

The role that food-preparation activities could play in developing understanding of mathematical ideas by middle school students is discussed. Measurement, computation, language, attitudes, and problem solving are addressed. (MNS)

Presents a collection of problems focusing on: (1) squares in arithmetic and number theory; (2) squares in geometry; (3) topics blending arithmetic and geometric aspects of squares; and (4) squares and Logo. A sample student worksheet (with answers) is included. (JN)

Suggested is the presentation of problems for which student teams are to write computer programs which will reveal the results of guesses at the answer by users of the program. Illustrative problems and programs are included. (MNS)

Discusses the development of visual thinking in students. Also presents a strategy that incorporates visualization exercises within the framework of traditional mathematics. The technique appears successful for students studying geometry, fractions, and problem solving. Visualization abilities increase understanding and therefore give students…

Studied for three years were eight Swedish classes with pupils aged 10-12 using calculators whenever they could be of use, along with experimental textbooks. The experimental classes were as competent as control classes in mental arithmetic and calculations with simple algorithms, and had better understanding of numbers and problem solving. (MNS)

Investigated was how girls and boys who were discrepant in their spatial and verbal performance used spatial visualization skills in solving word problems and fraction problems. It was concluded that low spatial visualization skill may be more debilitating to girls' mathematical problem solving than to boys'. (MNS)

Determined if providing feedback to students had any impact on the correlation between performance in physics and a test of simple, mechanistic mathematics skills. Also determined if students who drop out of the physics course demonstrated any identifiable difference in performance on tests involving a variety of reasoning and problem-solving…

A brief overview is given of the part of meteorology which deals with the circulation of the atmosphere. This is followed by eight illustrative application problems for mathematics classes. (MNS)

A program for a number of guessing logic games, written in APPLESOFT, is first given. Then four computer-related terms are defined. (MNS)

This second part of a two-part article highlights some mathematics involved in the study of meteorology. Examples are given of the application of mathematics to the study of the atmosphere, with three problems discussed. (MNS)

Describes a new theoretical model of the learning process produced by the computer's strict reliance on procedure and its unique methods for managing data. The implications of this model for mathematics learning are illustrated through an experimental paradigm comparing the problem-solving skills of an expert and a novice. (MBR)

Arguing that computers can be used to improve not only the delivery of undergraduate mathematics courses, but also their content, the author discusses several broad areas in which computers might improve the undergraduate curriculum. (SD)

Using this four CD-ROM disc set, teachers can have their very own math problem solving mentor as a leading expert in Singapore Math guides them through a lively presentation, working through math problems and explaining how Singapore has become the world's leading method in math. The expert's explanation of how to use Singapore's model-drawing…

The purpose of this paper is to offer a framework for categorizing and describing the different types of processes that undergraduates use to construct proofs. Based on 176 observations of undergraduates constructing proofs collected over several studies, I describe three qualitatively different ways that undergraduates use to construct proofs. In…