This study is on the importance of reading in mathematics. The hypothesis is that reading word problems affects the outcome of problem solving. Students, 44 fourth-graders in two different math classes taught by the same teacher, were given computation problems and other students received the same computation problems within a story problem. The…

The purpose of this project was to examine the levels of achievement and metacognition in expressing mathematics understanding and problem solving processes by students in a second grade classroom when the students used writing in daily mathematics learning according to their scores on a mathematical problem solving assessment and individual…

The organization of a project on the topic of communications is detailed, and examples of some of the workcards used with the project are provided. Two open'' problems along with some student responses are also included. For the first article in this series, see Volume 1 Number 7 pp9-10, November 1972. (DT)

An activity is described in which students write programs for each other using the Logo programing language. A program developed by two fifth graders is discussed. (MNS)

Suggestions are given for helping mathematically gifted, creative, and talented students by grouping, organizing for enrichment, and using mathematics to challenge. Specific activities are included. (MNS)

Deciding, with outline maps, what highway exits to use to reach various towns most speedily is the problem presented. The simulation is geometric, focusing on loci. (MNS)

The approach is to fill positions in a star shape with values from a set so that the sum of each line is equal to the sum of every other line. There are four values in each of five lines. Related problems based on other shapes are noted. (MP)

Activities used with seventh and eighth grade students in Western Australia are described. The instructor guides pupils towards experimental solutions and encourages discovery of solutions for similar and more general problems. Investigations include study and construction of polygons, polyhedra, and one and two-sided surfaces. Commercial kits are…

The author shares 12 problems he has found effective in stimulating the imagination of students. (MNS)

Geometrical probability deals with probability on infinite sample spaces where each outcome of an experiment is equally likely to occur. Geometry which identifies sample space regions and event subregions leads to a method of finding a desired probability. A collection of problems with solutions is presented. (MP)

The proof is given that, if three equilateral triangles are constructed on the sides of a right triangle, then the sum of the areas on the sides equals the area on the hypotenuse. This is based on one of the hundreds of proofs that exist for the Pythogorean theorem. (MP)