Presents the opinion that the learning environment of recitation classes can be vastly improved if instructors pay attention to some basic learning principles. Summarizes these learning principles and presents a specific example of their application. (GS)

A list of heuristics for elementary school children is provided. Two examples which are viewed to demonstrate the conscientious and creative use of problem-solving strategies by fourth graders are detailed. Suggestions for teachers on how to help pupils develop their problem-solving abilities are included. (MP)

Calculators are seen to shift the student focus in problem-solving situations from "how to do it" to "what to do," by keeping computation from standing in the way when pupils write or solve problems. (MP)

Incorporating problem solving as an integral part of mathematics programs in the classroom is discussed. The teacher's focus is seen as stretching pupil thinking. (MP)

Students' misconceptions in mathematics and how teaching may be directed to diagnose and eliminate these misconceptions are discussed. Four main types of misconceptions during problem-solving are noted. It is also noted that the basic mathematical processes of generalizing, representing, and explaining are used in selected student self-help…

The use of mathematical modelling as a systematic framework for solving word problems is presented. Applications for typical elementary algebra and calculus problems are featured. (MP)

This paper answers several frequently asked questions about constructivism, including how to define it, how to plan the curriculum, how to assess student understanding, what to do with the information, where to begin, how students work in a constructivist classroom, and why constructivism is important. (SM)

All contemporary learning theorists agree on the advantages of involving students in authentic problem-solving activities in both in-school and out-of-school contexts. Approaches which use real-world problems as learning tools fit well with: (1) the strategy-based, performance model advanced by information processors; (2) the impasse or…

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)

Two aspects of instructional practice in mathematics are discussed: the process of developing instructional activities and the importance of engaging students in mathematical discussion. The National Council of Teachers of Mathematics (NCTM) Standards are evaluated based on this discussion. (CW)

Reviews current research in the application of the Neo-Piagetian theory of Pascual-Leone and shows how it provides the science teacher new implements. Hypothesizes that the role of the environment and creativity, if emphasized adequately, can help make science instruction more effective. (Contains 45 references.) (PR)

Problem-solving activities of one form or another are encouraged at all times, with problem-solving lessons recommended at least every 10 to 12 days throughout the year. A number of ways to carry out such a heavy schedule are outlined. (MP)

An approach to problem solving broader than the traditional one most often used by instructors is described and recommended. Implementation of these ideas has the potential of increasing problem solving ability of students while promoting a fuller appreciation of the value of the process. (MP)

The roles and uses of symbols in mathematical thinking are discussed. The thinking process is further subdivided into specialization, generalization, and reasoning. (MP)