An activity is described which can be used to introduce students to the general divisibility test for nine. (JP)

An activity is presented that involves an unusual multiplicative operation on natural numbers. Described are interesting properties that students may discover when using the new operation. (JP)

As one in a series of test item collections developed by the Assessment and Evaluation Unit of the Directorate of Studies, items of value from previous tests are made available to teachers for the construction of pretests or posttests, reference tests for inter-class comparisons and general assignments. The collection was reviewed for content…

THIS DOCUMENT IS A TEACHING GUIDE TO AID IN THE USE OF CUISENAIRE MATERIALS TO PRESENT FUNDAMENTAL MATHEMATICAL CONCEPTS TO ELEMENTARY SCHOOL CHILDREN. CONCEPTS OF AND EXERCISES IN COUNTING, NUMBERING, ADDING, DIVIDING, SUBTRACTING, AND MULTIPLYING ARE EMPHASIZED. IN ADDITION, CONCEPTS OF FRACTIONS, DISTRIBUTIVE PROPERTIES OF NUMBERS, RECTANGULAR…

This is one in a series of manuals for teachers using SMSG high school supplementary materials. The pamphlet includes commentaries on the sections of the student's booklet, answers to the exercises, and sample test questions. Topics covered include history of numerals, the decimal system, expanded numerals and exponential notation, numerals in…

This is one in a series of manuals for teachers using SMSG high school supplementary materials. The pamphlet includes commentaries on the sections of the student's booklet, answers to the exercises, and sample test questions. Topics covered include addition, multiplication, operations, closure, identity element, mathematical systems, mathematical…

This is one in a series of manuals for teachers using SMSG high school supplementary materials. The pamphlet includes commentaries on the sections of the student's booklet, answers to the exercises, and sample test questions. Topics covered include addition and multiplication in terms of absolute value, graphs of absolute value in the Cartesian…

This booklet consists of three units selected from the SMSG text materials for grade 4, "Mathematics for the Elementary School." These three units were selected as being necessary for students about to undertake the grade 5 SMSG text materials. Chapter topics include concept of sets, sets of points, and concept of fractional numbers. (MP)

This is part one of a two-part SMSG elementary school text for third-grade students. The development of mathematical ideas in the text is grounded in appropriate experiences with things from the physical world and the immediate environment. Chapter topics include: (1) sets of points; (2) addition and subtraction; (3) describing points and numbers;…

This is unit twelve 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 rigid motions and coordinates, squares and rectangles, and square roots and real numbers.…

This is part two of a two-part SMSG elementary school text for fourth-grade students. The content is aimed at the development of some of the fundamental concepts of mathematics such as number, numeration, the operations of arithmetic, and intuitive geometry. Chapter topics include properties and techniques of addition and subtraction, techniques…

PRODUCED AS PART OF A PROJECT FOR THE IMPROVEMENT OF CLASSROOM TEACHING, THIS BOOK DISCUSSES THE BASIC CONCEPTS AND OPERATIONS OF ARITHMETIC WHICH ARE TAUGHT TO ELEMENTARY SCHOOL STUDENTS. THE CONCEPT OF A SET IS USED THROUGHOUT AS A BASIS FOR EXPLANATION, AND THE DISCUSSION STRESSES WAYS BY WHICH STUDENTS CAN BE BROUGHT TO UNDERSTAND THE…