The universities and faculties which educate teachers of mathematics for teaching pupils/students of any age group from pre-school age to higher education carefully monitor and compare valuable results of this research, detect the areas in which the mathematical achievements of pupils should be improved at the national level and propose the ways…

The teacher's guide for Unit 10 of this SMSG series covers the chapter on problem solving and the chapter on solution sets of mathematical sentences. The overall purpose for each of the chapters is described, the prerequisite knowledge needed by students is specified, the mathematical development of each chapter is detailed, behavioral objectives…

Strategies for problem solving are discussed in the first chapter in Unit 10 of this SMSG series. The second chapter covers the following algebra topics: solving simple equations and inequalities, simplifying expressions, solving fractional equations and solving inequalities involving fractions, factors whose product is zero, and factoring. See SE…

Identifying the larger (L), smaller (S) and difference (D) of two real numbers, and then selecting the appropriate relationship between L, D, and S can help students solve algebra word problems. (SD)

The possibility of preparing a set of word problems of a predicted level of difficulty based on six variables (for multiplication, division, recall, conversions, operations, and number of words in the problem statement) and on regression equations developed in previous work was investigated. Four problem sets were used in grades four through six,…

Suggestions are provided for activities involving the construction of mathematical models to solve "real-life" problems. (SD)

After describing desirable characteristics of a student's first encounter with proof, and listing skills prerequisite for the proposed lesson (knowledge of some operational systems), the author describes in detail an introductory session in which students prove consequences of commutativity and associativity for a system supposedly encountered on…

This is unit eleven 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 coordinate geometry and problem analysis. (MP)

Students were presented with the problem of finding all magic squares of order three. (SD)

The famous birthday problem is discussed and activities which can be used with it as an introduction to probability are examined. (SD)

After arguing that secondary students are often inept at solving word problems, and that this may be caused by their disinterest in the problems typically presented, the author presents eleven problems she considers to be more relevant to student interests. (SD)

Arguing that operations research is not as difficult and forbidding as its reputation implies, and that many problems lend themselves to analysis using common sense, the author provides examples which might be used in a secondary school classroom. (SD)

The teaching of non-numerical flow charting to all pupils is advocated as a means of preparing students for decision making. Several sample problems are provided. (SD)

The materials in this Enrichment Student Project (ESP) are designed especially for the low achiever student in mathematics. The booklet is a self contained unit consisting of four elements--a mathematical puzzle, a set of instructions, response sheets, and a suitable container for keeping the unit together. ESP is a motivational idea aimed at…

Tables of life expectancy can provide data for use in a great variety of problems related to probability theory. (SD)