The importance of including statistics and probability concepts in elementary mathematics instruction is discussed. Examples of student-centered classroom activities that introduce statistics are suggested, and six ideas central to statistics and probability are stated. (FG)

The material provides secondary students with opportunities to count deductively, collect data, look for patterns, check and modify patterns after obtaining further data, establish patterns, and check validity. Worksheet masters suitable for classroom duplication are included. Students should have certain prior experience with models of regular…

Repeating decimals are used as a source for geometric patterns. Ways for generating patterns focus on dividing a circle into certain numbers of equal parts and interpreting the decimal expansions of certain fractions in terms of connecting sequences of points. Suggestions for possible expansions are given. (MP)

What often catches student interest and provides needed motivation for learning is the remarkable patterns and unexpected, interesting ideas that fill mathematics. It is felt mathematics should be taught as an enchanting and multifaceted art as well as a tool and a science. (MP)

Specific books which can be used as a supplement to traditional mathematics materials are reviewed. Topic categories are: Position, Geometric Concepts, Measurement, Size, Time, Money, Numeral Names and Counting, Ordinal Numbers, Concepts of Quantity, and Arithmetic Concepts. (MP)

Details of teacher-developed lessons in banking are extensively profiled. (MP)

An attempt to make problem solving a real part of the mathematics program in a second-grade classroom is described. It is felt that teachers can aid children in establishing attitudes of willingness to take risks and tackle unfamiliar tasks by focusing early on problem solving as a process. (MP)

Efforts directed to emphasizing problem solving and using the immediate environment to create problem situations are described. Teachers are urged to incorporate problem-solving activities in their instruction. (MP)

Suggests several ways to humanize middle school mathematics: telling anecdotes about famous mathematicians, capitalizing on student insights, taking the fear out of making mistakes, and using a variety of learning experiences. (Author/SJL)

Mathematical problems associated with computing the proper apportionment of Representatives to the United States Congress are reviewed. (MP)

Focus is on curriculum content and classroom organization. Other aspects discussed include the goals of a gifted mathematics program, student evaluation, teacher attitudes and characteristics, and the use of calculators and microcomputers. (DLS)

The author describes a dialogue with his three-year-old daughter about numbers. He discusses aspects of mathematics education and how his views about how students acquire mathematical knowledge have changed. (MP)

Several types of problems designed to provide opportunities for mathematically able students to do original and analytic thinking at grades 3 and 4 while reinforcing numeration and computation skills are presented. (MP)

The use of exponentiation as a starting point for an open-ended exploration of real number ideas is presented. (MP)