PS-I learning approaches with an initial problem-solving phase (PS) followed by an instruction phase (I) can be optimised by providing adaptive (individualised) instruction that builds on students' problem-solving products. A computer-based implementation of both phases offers the possibility of adaptivity at the transition from the…

One possible way of looking at the limit concept, from the learner's point of view, is proposed; it can easily be built up gradually with little risk of conscious or subconscious conflicts of concepts perceived to be closely related. (MN)

Discussed are the difficulties that entering college freshmen seem to have with mathematics, particularly with fractional forms. A success-oriented program is suggested in which all students are successful. To obtain this goal, a number of alternative routes are discussed such as presenting decimals before fractional forms and the use of the…

The purpose of this study was to determine differences in achievement of fifth-grade students in 16 classes taught two of four mathematical algorithms by one of four instructional strategies. Computational skills and ability to extend the algorithm were tested. The instructional strategies were: pattern, algebraic, pattern followed by…

Procedures using calculators are described for determining the recurring sequence of digits in the decimal representation of numbers of the form 1/n. (MN)

Described is a bingo-like game for classroom drill with fractions and their equivalents. (RS)

Outlines a pattern for multiplication of fractions which facilitates the solution of a large class of problems. Beginning with the rate pair motion, a sequence of interrelated ideas are suggested that should help develop ability in problem solving in both relatively common and in more technical situations. (BR)

The use of the hundred chart is discussed as an effective means of teaching the concepts of least common multiple and greatest common factor. (MP)