Functions defined on a unit square are considered, so that a basis may be established to carry over important features to the circular functions. (DT)

The problem of determining the number of squares having vertices at pegs on geoboard is considered. (DT)

Activities are suggested for investigating the mathematics underlying an optical illusion. (DT)

President Garfield's life is reviewed, and his proof of the Pythagorean theorem is presented. (DT)

Results are reported of an investigation to find out how well each of "everyday" words used in mathematics was understood by a group of 300 secondary-school pupils. Students showed a considerable lack of understanding of many of the words. (DT)

Some simple problems are studied with an emphasis on the questions of accuracy and error. (DT)

This textbook's goal is to train and develop the mind by means of the science of numbers. This work is designed both for primary and advanced classes. The first part is adapted to beginners, while the latter part is peculiarly fitted to give to the more advanced student that thorough mental drilling in the analysis of numbers, which furnishes the…

Fourteen mathematical questions which students have asked are listed; details of the procedures used by students in answering one of the questions are provided as a model for instructional techniques. (DT)

The author provides an example of obtaining the correct answer to a problem through a so-called nonsense solution. The conditions under which this incorrect method will yield a correct solution are examined. (JP)

Theorems concerning the probability of the appearance of certain digits in a numeral are stated and proved. (DT)