A glyph--short for hieroglyphic--is a form of picture writing that conveys information. This book uses 10 glyphs to teach math concepts that are linked to the new NCTM Standards. There are four key parts to each glyph: (1) a legend (or survey questions); (2) directions for the teacher that tell students what to draw, color, or write based on…

This document is concerned with developing an understanding of problem solving by providing tasks to help students with their problem solving strategies. These tasks were used by Vermont teachers during the pilot years of the High School Mathematics Assessment and were selected by attendees of the June, 1995 Research Scoring meeting. Tasks are…

The entry, attack, and review/extension stages of problem solving are discussed. A project for children aged 9-13 was developed; some student reactions to problem solving are included. (MNS)

A problem that is seen to allow room for student discovery and exploration is detailed. A discussion starts with an examination of the generation of a general equation for the sum of a set of consecutive integers, and leads to an exploration of more complex sums. (MP)

The concept and use of proof in mathematics are examined. Uses and purposes of proofs are listed and described. (MP)

The method used at airports in determining the cloud height at night is presented. Several problems, the equation used, and a simple design of an alidade (an instrument that shows cloud heights directly) are also included. (MP)

A learning pattern designed to help students cut down the amount of memorization needed in learning the basic multiplication facts is suggested and reviewed. (MP)

Mathematical activities suitable for reproduction as worksheets are suggested. These activities are adaptations of the classic tower puzzle and are intended to help students discover patterns, make generalizations, and use the strategy of solving simpler problems in order to solve a more difficult one. (MK)

A study done with seventh and eighth graders to determine aspects of their knowledge about surface area and volume is described. Results indicate analogy in problem solving may be an appropriate strategy for seventh- and eighth-grade students. (MK)

Factors suggested as accounting for poor problem solving are inadequate programs for teaching problem solving, choice of operation, and the number of problems. (MP)

Four procedures used by children for deriving answers to unknown subtraction facts are described. They are counting forward, counting backward, derivation, and bridging. (MP)

A description is given of materials produced by the Schools Council Project on Statistical Education. (MK)

Presents a quilting problem that engages students at many levels, has multiple possible solution paths, lends itself to a variety of representations, and connects many mathematical ideas. (KHR)

Explores profiles of mathematical competencies in upper secondary students within six countries: (1) Austria; (2) France; (3) Germany; (4) Sweden; (5) Switzerland; and (6) the United States. Explains that results from the Third International Mathematics and Science Study (TIMSS) test were in line with expectations about cultural and instructional…

Presented is a problem involving a real-life situation involving simple ideas, computation, and a proof. A variety of other situations in which this type of problem may be applied are discussed. (CW)