The mathematics of cryptology is discussed. Methods for deciphering a code and for ciphering schemes are detailed. (DT)

The mathematics involved in a practical application of matrices and vectors to the field of computer graphics where three-dimensional objects are moved and displayed is explained. (DT)

Not all of mathematics can be taught in formal textbooks. Just as an English course can be enlivened by selections from literature, a mathematics course can gain depth and interest from special readings. This volume can be read in conjunction with the SMSG First Course in Algebra or Intermediate Mathematics. It introduces the subject of number…

This supplement was written for students who are especially good in mathematics and who have a lively interest in the subject. It is suggested that the supplement be read with pencil and paper in hand. All questions should be considered and answered, if possible, when they occur. A casual reading of the supplement is, in most cases, unprofitable.…

Described is a study concerned with the mode of presentation of printed mathematical word problems. Tenth grade students were given twenty word problems to solve, presented in one of three ways: (1) prose only, (2) prose with an accurate picture included, or (3) prose with a distorted picture. Experimental results showed that the group with an…

The purpose of this report was to test the hypothesis that extra-scope transfer depends on the extent to which a statement of strategy may be viewed as a restriction of a more general strategy. Sixty-six high school students were taught a restricted statement of one of three strategies of varying generality. Twenty-two of these students served as…

This report describes an experimental study conducted in two New York state high schools for the purpose of determining the feasibility of using electronic calculators to improve mathematics instruction. The study was also concerned with determining whether or not curriculum-related materials can be developed to make the electronic calculator a…

This study is concerned with certain aspects of approximation theory which can be introduced into the mathematics curriculum at the secondary school level. The investigation examines existing literature in mathematics which relates to this subject in an effort to determine what is available in the way of mathematical concepts pertinent to this…

This bulletin contains: (1) a summary and conclusions of a study of mathematics curricula in Europe and Japan, and (2) a description of beginning efforts to evaluate the Secondary School Mathematics Curriculum Improvement Study (SSMCIS) project. Some of the conclusions of the European and Japanese study are: (1) the study of Euclidean synthetic…

Presented are more than 300 problems of varying difficulty along with answers and solutions. These problems were initially given to participants in mathematics contests among high school students. With each problem a time factor is included as well as a percentage of participants who successfully solved that problem. (CT)

GRADES OR AGES: Grade 12. SUBJECT MATTER: Mathematics. ORGANIZATION AND PHYSICAL APPEARANCE: The subject matter is presented in four columns: major areas, significant outcomes, observations and suggestions, and films and references. The topics include: sets-relations-functions, circular functions, graphs of circular functions, inverses of circular…