"The Montessori Observer" is mailed four times each year, in March, May, September and November, to Society members throughout the world. The purpose is to provide news and information about the Society's work in Montessori education, and to extend awareness of Montessori principles throughout the world. This issue contains a feature…

In this 1967 booklet, influences of technology, the non-achiever and the culturally disadvantaged, and the revolt against formalism are discussed in relation to the modern mathematics curriculum. Some projects and school programs described include PLATO, the Nuffield Project, the Nova School Program, Advanced Placement Program, and teacher…

Included in this set of materials is a description of an instructional model for elementary school mathematics, a curriculum guide developed by the elementary school teachers of the California Area School District, scope and sequence guides, and a teachers manual. The instructional model includes the use of pretests, posttests, prerequisites and…

The first part of Course III focuses on matrix algebra, graphs and functions, and combinatorics. Topics studied include: matrices and transformations, the solution of systems of linear equations, matrix multiplication, matrix inversion and a field of 2 x 2 matrices. The section on graphs and functions considers regions of the plane and…

Illustrations of the misuse of the associative property in elementary school texts are given; the question is raised as to the appropriateness of stressing the commutative and associative properties at the elementary level. (DT)

This investigation attempted to determine how pupil attitudes toward mathematics might be changed by introducing the new Laidlaw Series in the Moscow Elementary School during the academic year of 1965-66. The Kansas Arithmetic Inventory for Elementary Pupils was administered as a pretest prior to the introduction of the new text and a post-test…

Part 2 of Course I includes a study of set theory, transformations of the plane; properties of lines, planes, line segments and angles; elementary number theory; and rational numbers. Decimal fractions, ratio and proportion, percent, and presenting data using graphs are also presented. (FL)

Reports on the development of a course in modern mathematics for elementary school teachers. The subject matter for the course is concentrated on whole numbers, integers, and rational numbers. Ideas of logic and set theory are brought into the discussion incidently as needed for developing the number systems. Part 1 of the course is a brief essay…

Describes problem areas which confront mathematics educators: how objectives have changed, the need for practical applications, teaching for examinations, changes in content, use of instructional materials, and public relations. (RS)

Compares achievement of eighth grade ability groups using two modern and one traditional mathematics textbooks. Concludes that learning of traditional concepts was not affected by materials; modern concepts and mathematical knowledge were learned best from modern programs. (JM)

This is Part 1 of the first course in a series which focuses on building fundamental mathematical structures. The arithmetic studied in elementary school along with modular arithmetic is examined and set notation and mappings of sets are presented. Mathematical group structures are introduced. Points and numbers are related both on a line and in a…

The second part of Course III includes a study of probability, polynomial, rational and circular functions, and informal space geometry. The chapter on probability presents such topics as probability measure, outcome sets and events, and overview of topics studied in Courses I and II. Chapters on functions include polynomial algebra concepts and…

Reports on the development of a sample course in modern mathematics for elementary teachers. The approach to the course was based on three methodological principles--(1) that emphasis should be placed on mathematics as an organization of (experimental and other) information and not primarily as a deductive system, (2) that it is important to use…

This pamphlet is designed for use as enrichment material for able junior and senior high school students who are interested in mathematics. No more than a clear understanding of basic arithmetic is expected. Students are introduced to ideas from number theory and modern algebra by learning mathematical ways of coding and decoding secret messages.…