This article will describe two activities in which students conduct experiments with random numbers so they can see that having at least one repeated birthday in a group of 40 is not unusual. The first empirical approach was conducted by author Cauto in a secondary school methods course. The second empirical approach was used by author Flores with…

Utilizes the problem of determining the number of different ice cream cones and cups that can be made from a choice of 31 flavors to investigate the concepts of combinations and permutations. Provides a set of six related problems with their answers. (MDH)

Covers a project conducted by the Freudenthal Institute in which observation of student behavior supported the premise that the graphics calculator can stimulate the use of realistic contexts, the exploratory approach to mathematics, a more integrated view of mathematics, and more flexible behavior in problem solving. (AIM)

A variety of calculator activities is described for developing problem solving skills without getting involved in tedious computations. (JT)

The article includes a discussion of counting and counting strategies. In addition, there are eight problem sets appropriate for use with groups of different age and ability levels. Suggestions are given for finding variations of the problems. (PK)

Eleven questions, primarily dealing with the structure of the human body, are presented. In addition to a question on calculation of age in days, hours, minutes, and seconds, there are problems on the muscles, and the respiratory, circulatory, and skeletal systems. Answers to general questions are provided. (MP)

This booklet is a collection of 45 problems that have appeared in the Problem Department of the journal "School Science and Mathematics." The booklet is divided into four parts. The first part presents 20 cryptarithms, puzzles in which letters or symbols are substituted for the digits in an arithmetical calculation, that require knowledge of…

Emphasizes a real-world-problem situation using sine law and cosine law. Angles of elevation from two tracking stations located in the plane of the equator determine height of a satellite. Calculators or computers can be used. (LDR)

This book presents 129 problems selected from the calendar problem section of the "Mathematics Teacher" to supplement regular mathematics textbook offerings for middle grade teachers and students. The problems are categorized by six topics: (1) Numbers; (2) Computation; (3) "Oldies but Goodies"; (4) Offbeat and Unusual; (5)…

Applications of generalizations of both arithmetic and geometric progressions are presented. The first-order difference equation is used in solving seven examples from finance, business, and medicine. Detailed directions are included for each example. (KR)

This document provides a description of the competitions involved in the Mathematics Olympics held in the Springfield Public Schools (Missouri). It provides descriptions of the team events (which involved a scavenger hunt, computers, and computations) and the individual events (which involved applied geometry, calculators, conversion from ratio to…

Presents five activities focusing on mental computation and estimation for the K-3, 3-5, 4-6, and 6-8 grade levels that require the student, acting as a judge, to review solutions to problems and to pronounce and justify a verdict. Provides suggested materials, questions, possible extensions, answers, and worksheets for each activity. (MDH)

Promotes mathematics instruction that goes beyond computation and problem solving, attempting to make children the "posers of problems." Addresses differences in hemisphericity, processing, and learning styles, as well as maturation differences, sex differences, effects of stimulation, enriched environments, emotion, and the control of attention.…

Describes 4 activities for levels K-2, 3-5, 4-6, and 6-8 and a family activity that asks students to describe their community; use coordinates to represent the 4 voyages of Columbus; write a story based on a line graph of Lewis and Clark's expedition; determine serving sizes for astronauts in space; and investigate different modes of…