Three moderately/mildly retarded adults were trained in adaptive community skills. Treatment involved instructions, performance feedback, social reinforcement, in-vivo modeling, self-evaluation, and social and tangible reinforcement. Rapid and dramatic improvements occurred soon after treatment began. Skills generalized to other shopping…

The use of a variety of models to develop number concepts is advocated. Four models are discussed, with illustrations: the cardinal number of a set, Cuisenaire rods, the number line, and the Papy Minicomputer. (MNS)

Using manipulative materials and pictures is considered valuable, but the need to use models appropriate for individual children is stressed. Suggestions for using well-structured physical space are given. (MNS)

Three activities and patterns involving the addition table are described, each involving pentagons. (MNS)

The importance of teaching computational estimation is discussed, with note of its increased significance because of widespread use of calculators and the need to develop number sense. The reason for its failure to be taught is traced to the multiplicity of methods, and some detailed suggestions are therefore presented. (MNS)

The use of real (professional) bingo sheets for a math bingo game is described. The game can be adapted to many levels of learning for a variety of concepts by using different calls. A sample of these calls is given. (MNS)

Programing a microcomputer to solve problems in whole-number arithmetic, rather than using the built-in operations of the computer, is described. Not only useful, it also enhances important mathematical concepts and is adaptable to a range of student abilities. (MNS)

Research on the usefulness of calculators in mathematics instruction is cited, and some activities using calculators to develop skills with reading numbers, counting, basic facts, multiplication and division, problem solving, estimation, percentages, decimals, patterns, probability, and games are described. (MNS)

Presents background information and the listing for a LOGO computer program which investigates an ancient mathematical riddle (related to the square root of seventeen). The simulation, written for Apple II microcomputers, can be easily adapted to other microcomputers. (JN)

The pre-math computer program for preschool children that is described is divided into subprograms representing different basic numerical concepts--discrimination, recognition, and recall--and presents research design used to test the program's effectiveness with Head Start preschool children. Results indicate the program was ineffective…

Factorials are discussed, with note of the enormous size on n! even for modest values of n. A recreational problem to determine the number of zeros at the end of numbers such as 10,000! is given, with a computer program. (MNS)

Patterns of addends are investigated. The activity is related to Dienes' learning theory. (DT)

Designs on a circular geoboard lead to an investigation of factors, primes, relative primes, and modular arithmetics. (DT)

A form is presented for helping students calculate the greatest common factor and least common denominator of two numbers. (DT)

In this paper we report on a case study of a university student (third year of Mathematics course). She was engaged in proving a statement of elementary number theory. We asked her to write the thoughts that accompanied her solving process. She was collaborative and her protocol is suitable to study the interrelation between affect and cognition.…