Gardening is the theme for a series of worksheets that present a variety of problem-solving activities that emphasize the construction, use, and interpretation of diagrams, graphs, and tables. The material is designed for duplication for classroom use, and suggestions for ways of going further are provided with each activity. (MP)

The mathematics of an educational game commonly known as "Frogs" is analyzed to see different mathematical concepts imbedded in it. (MP)

Ways are identified in which typical textbook word problems can be used to better fulfill their role in the development of mathematical concepts and a sound instructional program of mathematical problem solving. (MP)

An extensive investigation of pupil understanding of fractions at the secondary education level showed the majority tended to avoid using fractions, could not generalize about them, and probably did not see them as an extension of the set of whole numbers. (MP)

Some methods of proof of traditional algebra problems using geometric methods are explored. The techniques used come from the original Greek approaches to these mathematical questions. (MP)

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

Number walks are suggested as reinforcement activities for newly learned concepts. Children walk along a display of mathematical tasks, responding to each as they walk along. (MP)

The introduction of certain topics in the theory of machines and languages into school and college mathematics courses in place of the more usual discussion of groups and formal logic is proposed. Examples of machines and languages and their interconnections suitable for such courses are outlined. (MP)

Points out how figurate numbers (numbers that can be represented by dots on particular geometrical polygonal arrays) can be used to permit upper elementary and secondary students to creatively search for patterns within and among series of figurate numbers. (RH) (RH)

A tool to aid elementary calculus students in the computation of unusual limits is reviewed. (MP)

The use of clocks in instruction in the elementary school classroom is reviewed. The use of nonstandard units of measure and conceptualizing the idea of time duration are two of the areas investigated. (MP)

An enrichment activity that uses student scribbles to teach special geometric concepts is presented. (MP)

The use of saltine crackers to illustrate whole numbers, decimal fractions, common fractions, percents, money, and other mathematical concepts is reviewed. (MP)

Several BASIC computer programs designed to illustrate concepts in probability are presented. The programs are geared for the Apple II computer, but most samples are adaptable to other systems. (MP)

Two responses to a prior report on significant figures and a discussion on outlining conventions for the accuracy of answers are included in this document. A clarification of the supposed error in the original report is noted at the beginning. (MP)