An approach is illustrated that introduces selected models of addition and subtraction to students who have previously learned a model for either operation. (JT)

Finding patterns in the relationship between the number of sides in a polygon and the total number of diagonals is used as vehicle to discuss discovery learning. (DT)

Teaching by learning activities is contrasted with teaching by objectives. Four types of learning activities are identified. (JT)

Four specific problems are presented, discussed, and extended to illustrate how diverse instructional strategies, materials, and resources can be used to develop problem-solving skills. (MP)

A series of activities that focus on the process of measuring are presented. The material is designed to help children develop a concept of measurement by leading them through the processes used in establishing formal measurement systems over the centuries. (MP)

A lesson using Logo was found to be effective when working with concepts of division. It emphasizes relationships between arithmetic and geometry in a novel way, and has been used with students in grades two and four. (MNS)

A useful approach for developing insights and discovering patterns is to examine numbers in relation to the number of their divisors. A teaching procedure for this approach is presented, with questions, answers, and homework suggestions. (MNS)

The use of pictures created by students as aids in the learning of mathematical concepts and the problem solving process is promoted. (MP)