Because of the COVID-19 pandemic, as of this writing, 21 states and three U.S. territories have ordered or recommended school building closures for the rest of the academic year, with closures impacting at least 124,000 U.S. public and private schools and affecting at least 55.1 million students. In addition, districts in nearly all other states…

A method of teaching multiplication facts to remedial students using fingers and an alternate geometric proof developed by students are suggested. (MK)

Practical tips on the teaching of various secondary mathematics topics are given. Topics include geometric concepts related to circles, mathematical properties and procedures illustrated with a scrabble game, and the limit concept and infinity. (MK)

Included are nine brief notes on various aspects of infinity. These are an attempt to stimulate and organize the thinking of teachers and others who acknowledge the role notions of infinity play in mathematics and in children's thinking. (MK)

Presented are suggestions for teaching metric conversion and the properties of quadrilaterals. (MK)

Archimedes' shoemaker's knife problem is interesting in its own right and also allows the demonstration of heuristic teaching ideas and a different method of doing a routine construction. The focus in the article is on the thought processes involved and questions asked when attempting proofs with the problem. (MNS)

A didactic principle of operative concept formation is described and explained. It is argued that this principle meets current demands for practical geometric activities with concrete forms and for the exploration of the primordial relation between geometry and reality. (MK)

How geometry can play an important role in the teaching and learning of mathematics is discussed. The past roles of geometry in the Australian curriculum, possible approaches to teaching geometry, and the role of geometry today are each discussed, with some suggestions for teaching brighter students. (MNS)

Mnemonic devices to aid in the teaching of perimeter and circumference are suggested. (MK)

The primary aim of this guide is to aid teachers in planning and preparing a senior high school mathematics course for students preparing for college work. It is divided into separate one-semester courses of seven chapters each. The first-semester course consists of a traditional approach to the introduction of trigonometry and trigonometric…

The importance of spatial ability in facilitating curricular goals in science and mathematics is stressed. Suggestions are given about materials and activities to use and an instrument for assessing visual perception is illustrated. (MNS)

The lessons and test which comprise this document were used in two experiments concerning the effects of discovery and expository modes of presentation on retention and transfer. The methodology and results of the experiments are briefly summarized. Eight lessons are included: (1) two introductory lessons; (2) three lessons in the expository mode,…

A program of mathematics instruction for grade one is provided in this curriculum guide. The teaching goal of each lesson is stated in the Purpose section. Visual aids and manipulative materials useful in developing each lesson are suggested and additional teaching aids are listed. Suggestions for teaching the lessons are separated into three…

This guide is designed to aid the teacher in planning and teaching an eighth-grade mathematics course which should strengthen the student's understanding of the basic structure of mathematics through experience with and appreciation of abstract concepts. Thirteen units outlined are entitled: Numeration Systems; Natural Numbers and Zero; Integers;…