This book's activities probe rational and irrational numbers and investigate properties of integers and complex numbers. They explore numbers and operations embedded in physical objects and show how simple problems can lead to sophisticated considerations. Students examine the usefulness of irrational numbers in designing musical scales and of…

This book is about playing with mathematics, teaching: (1) How to multiply and divide large numbers mentally; (2) Making addition and subtraction easy; (3) Tricks for understanding fractions and decimals; and (4) How to quickly check answers for each calculation. Described as a foolproof way to do multiplication, division, factoring estimating,…

Arithmetic is the science of numbers, and also the art of computation. This textbook presents mental and written arithmetic through simple numbers. [This book was written by the Brothers of the Christian Schools and published by De La Salle Institute.]

There is offered in this book a year's work in numbers for those boys and girls who know one to ten thoroughly. The book is designed for the children themselves. The practical use of this text in various schools for several years gives evidence by its success that as soon as children can read they should have arithmetics in their hands. [Cover…

This textbook provides the foundation for a course in mathematics covering arithmetic, algebra, geometry, conic sections, and arithmetic of infinites. An appendix on practical gauging is included, as well as a supplement containing the history of logarithms. [This edition was corrected and improved by Samuel Clark.]

This textbook is an introductory mathematics course. It is a treatise of arithmetic, containing all the practical parts thereof; both in whole numbers, vulgar fractions, and decimals; likewise the theory of numbers, and their principal properties, demonstrated in a plain and easy manner.

This arithmetic textbook uses small concrete numbers to lead pupils to understanding numbers' properties and relations. This work is intended as a connecting link between the Primary and Written Arithmetics of the Author. It presents a mental analysis of Arithmetic adapted to the younger pupils by its easy gradations, and to advanced pupils by its…

This textbook is a course in mental arithmetic that is essentially based on the object-lesson plan. It is believed that the pupil in the primary school can more readily acquire a familiarity with numbers from the use of objects and pictures than from an uninterrupted drill on the tables. It also includes suggestions for teachers how to use the…

Teaching suggestions for graphing the function y=sin 1/x and the greatest integer function are given. (MK)

This book is for boys and girls 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 fractions. This book is both to be read and to be studied. It calls for oral recitation and…

The focus is on number sense in which students use the language, concepts, and operations of mathematics to find the desired numbers on a hundred chart. Worksheets for levels one-two, three-four, five-six, and seven-eight are included. (MNS)

Four worksheets are provided for developing decimal concepts. For levels 1-2, dollars and cents is the focus; for levels 4-5, tenths and hundredths; for levels 5-7, comparing and ordering decimals; and for levels 6-8, estimating with decimals. Teaching suggestions are included. (MNS)

Four activities and four manipulative materials for teaching place value are discussed. (MP)

One teacher's approach to the development of number sense while using calculators is outlined. The relationship between number sense and calculation is discussed. Teaching strategies and two worksheets used in this approach are presented. (CW)

Students are given a computational rule to follow for the first set of problems and must then discover the rule for the second set. Four worksheets for grades 1-8 are included. (MNS)