Experiences and suggestions from a teacher using computers in a grade five-six classroom are given. (MNS)

Some strategies for avoiding misconceptions about the greatest common factor and the least common multiple are presented. Several alternative methods for computing each are given. (MNS)

An activity for generating approximations of pi is described. (MK)

Three short essays provide teaching suggestions for lessons on base two, order of operations, and ratios used to motivate a number of mathematical ideas. (MK)

When the words "problem" and "answers" are used in connection with computational exercises, students think they are solving problems. Distinguishing between computational forms and problems is illustrated with a variety of topics. (MNS)

Work with microcomputers should be included in the preservice teacher education program. Broadening students' horizons by making them aware of the scope and diversity of worthwhile uses of computers, questions to help them become discriminating, and modeling positive attitudes are each discussed. (MNS)

Diagnostic teaching is described and discussed. Different types of errors are explained and examples of errors and their possible diagnoses are given. (MK)

Ideas for teaching the concepts of percentage, recognition of patterns in percentages, percentage as a special ratio, ways of finding percentages, and fractional percentages are presented. (MNS)

Activities for selecting, naming, matching, recording, and reproducing fractions are presented, using a variety of illustrations and materials. (MNS)

Diagnosis of student errors in mathematics is discussed and 12 guidelines for effective diagnostic procedures are presented. (MK)

A general discussion of teaching the gifted is presented, a short description of work done with the mathematically gifted junior high students at Johns Hopkins University is given, and specific suggestions for teaching the gifted are outlined. (MK)

Questions about teaching rational numbers are discussed, dealing with when to teach the meaning of fractions and of decimals, when and how to teach computation with fractions and with decimals, and other issues. (MNS)

Division of fractions and division of decimals, both troublesome, are discussed in relation to helping students learn well and retain what they have learned. A strong conceptual base, mastery of related concepts and skills, and meaningful development are stressed. (MNS)

Children need more than activities to help them see that the relationship expressed in a formula is true. Giving them the underlying principles will contribute to better comprehension, retention, and transfer. (MNS)

Since problem solving is recommended as the focus of school mathematics, it should be given emphasis in programs for teacher preparation. A course should focus on strategies for solving problems, rather than simply using problem-solving techniques as other content is studied. (MNS)