This unique volume surveys recent research on spatial visualization in mathematics in the fields of cognitive psychology and mathematics education. The general topic of spatial skill and mathematics has a long research tradition, but has been gaining attention in recent years, although much of this research happens in disconnected subfields. This…

The purpose of this article is to examine one possible extension of greatest common divisor (or highest common factor) from elementary number properties. The article may be of interest to teachers and students of the "Australian Curriculum: Mathematics," beginning with Years 7 and 8, as described in the content descriptions for Number…

This book contributes to a growing body of research relevant to efforts to make algebra an integral part of early mathematics instruction, an area of studies that has come to be known as Early Algebra. It provides both a rationale for promoting algebraic reasoning in the elementary school curriculum and empirical data to support it. The authors…

This manual is collection of examinations. The first part contains 150 examination papers, the questions for which have been selected mainly from the English, French, and German collections of problems. These papers may be divided into three groups. The first 50 papers are confined to the simple rules, fractions, and weights and measures; the next…

This book is intended for students who know the numbers from one to thirty thoroughly, who can count to one thousand, who know something of the multiplication tables of two, three, four, five, six, ten, and twelve, and who understand the simplest facts about ratio and fractions. The purpose of the textbook is to conform numbers in their facts and…

This textbook is for arithmetic students who can use numbers into the thousands in addition and subtraction, who know what ratio is and understand something about fractions, who know some facts of measures, and who have studied the multiplication tables. The book contains about a year's work, mostly in practice, partly in extension of knowledge.…

This textbook presents the divisions of arithmetic in their natural order. The fundamental operations upon integers, common fractions, decimals, denominate numbers, and numbers expressed by letters, are followed by their applications to business and to various employments. The pupil is taught to develop observation and thought power, rather than…

This arithmetic textbook for common schools and academies presents lessons arranged from least complex to most complex to prepare students for algebra study. Lessons include practical business applications, and the book has been adapted to serve the business community's needs while respecting the science of numbers.

This textbook is an arithmetic exercise book. It is the first in a series of five volumes and contains 45 exercises with problems to solve.

This textbook is an arithmetic exercise book. It is the second in a series of five volumes and contains 49 exercises with problems to solve. [For "Chambers's Practical Concentric Arithmetics: Book I," see ED623160.]

This textbook is an arithmetic exercise book. It is the third in a series of five volumes and contains 48 exercises with problems to solve. [For "Chambers's Practical Concentric Arithmetics: Book II," see ED623161.]

This textbook is an arithmetic exercise book. It is the fourth in a series of five volumes and contains 59 exercises with problems to solve. [For "Chambers's Practical Concentric Arithmetics: Book III," see ED623162.]

This textbook is an arithmetic exercise book. It is the fifth in a series of five volumes and contains 69 exercises with problems to solve. [For "Chambers's Practical Concentric Arithmetics: Book IV," see ED623163.]

It is not often that one can introduce primary school students to a problem at the forefront of mathematics research, and have any expectation of understanding; but with magic squares, one can do exactly that. Magic squares are an ideal tool for the effective illustration of many mathematical concepts. This paper assumes little prior knowledge on…

This textbook provides not only a mathematical basis, but also a scientific structure. Blackboard exercises are included, and great facility in comprehending the combinations and divisions of numbers will be acquired by this method.