A method for generating Pythagorean triples is presented and demonstrated with several examples. Its relationship to another method is shown and several interesting related facts are proven. (LS)

A chart is described which gives children an opportunity to discover prime and composite numbers and which leads to discussions of the associative and commutative laws, multiplication by 1, and powers and exponents. (DT)

A workshop on the use of Cuisenaire rods with learning disabled children was held for 300 participants and included a demonstration-lecture, a discussion, and a question-and-answer period. (DB)

Activities used in a British infant school are described, as well as methods for teaching mathematics to young children. The influence of the Nuffield Project on mathematics instruction is also discussed. (JP)

This course is intended for students who have a thorough knowledge of college preparatory mathematics, including algebra, axiomatic geometry, trigonometry, and analytic geometry. This text, Part I, contains the first five chapters of the course and two appendices. Chapters included are: (1) Polynomial Functions; (2) The Derivative of a Polynomial…

This course is intended for students who have a thorough knowledge of college preparatory mathematics, including algebra, axiomatic geometry, trigonometry, and analytic geometry. This text, Part II, contains material designed to follow Part I. Chapters included in this text are: (6) Derivatives of Exponential and Related Functions; (7) Area and…

Study supported by Mental Health Research Grant 605-5-373.

This is unit thirteen of a fifteen-unit SMSG secondary school text for high school students. The text is devoted almost entirely to mathematical concepts which all citizens should know in order to function satisfactorily in our society. Chapter topics include approximations, solution sets of mathematical sentences, and quadratic functions. (MP)

This is part two of a three-part SMSG algebra text for high school students. The principle objective of the text is to help the student develop an understanding and appreciation of some of the algebraic structure exhibited by the real number system, and the use of this structure as a basis for the techniques of algebra. Chapter topics include…

This study was designed to test the effects of a sequence of 12 lessons on the ability of kindergarten and first-grade children to recognize and conserve numerousness. Two pretests were administered to the children in each grade level, the Lorge-Thorndike Intelligence Test (nonverbal) and a test of numerousness. One post-test, the test of…

Reported are the results of an exploratory study that analyzed appropriate mathematical or "pre-mathematical" experiences for very young children of nursery school, kindergarten, or first-grade age. Among alternative approaches are the approach via sets, the approach via real numbers, and the approach via the physical act of counting.…

This curriculum bulletin is the second part of "Mathematics--Pre-Kindergarten, Kindergarten, and Grade One." This is a developing curriculum program that incorporates the pre-kindergarten into the educational system and reorganizes mathematics materials in the early childhood years. The materials in this bulletin deal with numbers and operations…

In the winter of 1965, an experimental course in Elementary Number Theory was presented to a 6th grade class in the Hosmer School, Watertown, Massachusetts. Prior to the introduction of the present material, students had been exposed in class to such topics from the University of Illinois Arithmetic Project as lattices, number lines, frame…