Cardinal infinities, the superrational numbers, and intuitions of infinity in limiting processes are discussed. (MP)

A method of teaching multiplication facts to remedial students using fingers and an alternate geometric proof developed by students are suggested. (MK)

A system of area measurement developed for the isometric geoboard is used to justify some relationships that are often proved using square units of area. (Author/MK)

The processes and perceptions of pupils in the mathematical processing of proofs are examined in clinical interviews of secondary school pupils. Analysis of the data led to the identification of clusters of characteristic response types. (MP)

This research study shows that it is possible to advance the use of proportional reasoning of many secondary school students by means of a well-designed teaching program. (MP)

An example is discussed in which a drill exercise, initially involving whole number addition, can be used to develop concepts in equations of many variables. (MP)

Presented is a study that underscores the extent to which students do not understand the use or meaning of letters in equations. (MP)

The probability and statistics portion of an optional comprehensive mathematics sequence offered at the secondary level in New York public schools is presented. (MP)

A method for approaching the value of pi using a transparent sheet of parallel lines is discussed. (MP)

The author argues against some topics included in the standard high school mathematics curriculum, including traditional algebraic word problems, trinomial factoring, complicated fractional expressions, and some geometric theorems and proofs. (MP)

The effects of nonexamples on the acquisition of the geometrical concept of semiregular polyhedra were examined. Results favored the treatments containing both examples and nonexamples. (TG).

Use of computer programs as tools for instruction on statistics is presented. A program for TRS-80 Level II BASIC is included. (MP)

An alternative application of logarithms in the high school algebra curriculum that is not undermined by the existence and widespread availability of calculators is presented. The importance and use of linear relationships are underscored in the proposed lessons. (MP)

An unusual algorithm for approximating square roots is presented and investigated using techniques common in algebra. The material is presented as a tool to interest high school students in the logic behind mathematics. (MP)

Four problems are presented and solutions using a calculator are illustrated. (MK)