This project endeavored to develop a high school course for use in the classroom and for use with a computer-controlled system of programed lessons. Many difficulties such as those in the display and control of figures were encountered in trying to organize and prepare the material for the computer. The conclusion reached was that the solution to…

This textbook is a part of a four-volume experimental series dealing with basic concepts and ideas in modern mathematics. It was the wish of the authors to present material which the students would understand, rather than memorize. Professional assistance was provided by Harvard University. The material is divided into four chapters: (1) sets of…

This unit describes an experience in informal geometry that is based on work with construction paper and milk cartons. The description is mostly of work actually carried out by children in the elementary grades involving such mathematical concepts as congruence, symmetry, the idea of a geometric transformation, and some basic notions of elementary…

This collection contains 233 objectives and related evaluation items for mathematics--grades four to six. The following categories are included - (1) sets, (2) numbers, numerals, and numeration systems, (3) operations and their properties, (4) measurement, (5) geometry, (6) relations, functions and graphs, (7) probability and statistics, (8)…

The booklet presents the minimum material for which students are responsible on the Tenth Year Regents examination of the state of New York. The syllabus is an attempt to integrate plane geometry with arithmetic, algebra and numerical trigonometry brought about by: (1) greater use of fractions and percents in mensuration problems; (2) use of…

Proposed curriculum topics for elementary school mathematics have been arranged in topic form. Six areas are covered: numbers and numeration, sets, whole numbers, fractions, problem solving, and geometry and measurement. The first section briefly explains the six areas and also includes a short discussion of teaching strategies, number sentences,…

Wallpaper is presented as a source for problems and activities involving geometry, statistics, measurement, and estimation. Sample questions and examples are discussed. (MP)

Complex numbers and trigonometry are used to prove that a given constructed line is equal to the length of one side of a regular pentagon inscribed in a unit circle. (MP)

A game for the HP-25 programable calculator is discussed. The objectives of the game are to introduce angle measurement and the rudiments of trigonometry. A program for the game is given. (MP)

It is shown that a unit segment can be constructed from a given line segment of length the square root of x if x is a surd. (MP)

Detailed instructions are given for the construction of a line segment of length cube root of two. A proof is also given. (MP)

A geoboard-related extremal problem dealing with both concave and convex polygons is discussed and a proof is given of the solution. (MP)

Questions which stimulate discovery learning are asked concerning polygons and curves drawn on an integral lattice. (DT)

A simple geometric construction giving acceptable approximations to the locations of twelve points for placing frets on a guitar is described both geometrically and analytically. (DT)

The place of Euclidean deductive geometry in the secondary school curriculum is considered and implications for mathematical education are highlighted. (MN)