A Foundational Study in the Pedagogy of Arithmetic

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ISBN 13 :
Total Pages : 360 pages
Book Rating : 4.:/5 (3 download)

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Book Synopsis A Foundational Study in the Pedagogy of Arithmetic by : Henry Budd Howell

Download or read book A Foundational Study in the Pedagogy of Arithmetic written by Henry Budd Howell and published by . This book was released on 1914 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Foundational Study in the Pedagogy of Arithmetic (Classic Reprint)

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Publisher : Forgotten Books
ISBN 13 : 9781331313625
Total Pages : 354 pages
Book Rating : 4.3/5 (136 download)

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Book Synopsis A Foundational Study in the Pedagogy of Arithmetic (Classic Reprint) by : Henry Budd Howell

Download or read book A Foundational Study in the Pedagogy of Arithmetic (Classic Reprint) written by Henry Budd Howell and published by Forgotten Books. This book was released on 2015-07-13 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from A Foundational Study in the Pedagogy of Arithmetic The problem of arithmetical teaching has been attacked in the past from many avenues of approach. Several interesting treatises, written from almost every point of view except from the insights gained by careful first-hand study of cases and experimental trial of adults and children, have appeared. While these have been suggestive and valuable according to their lights, manifestly they are makeshifts awaiting more thoroughgoing and systematic attempts to render available to teachers and students of education the scholarly investigations that have been going on for the past decade or more and that have been entombed for the most part in the libraries of our universities. Many of these need popularizing and to an extent rewriting, since, unfortunately, our best investigators are not always our best expositors. If the author has succeeded in summarizing and organizing to some extent these widely scattered studies into the genesis, psychology, statistics, and didactics of number in a manner to make them readable and interesting as well as more concisely contributory to the kind of material which he feels must be the subject-matter of the prolegomena to any future arithmetical didactic, he wall feel duly rewarded. In all of this work as well as in the original work of part two, heartfelt acknowledgment of the helpfulness and guidance of Assistant Professor Paul R. Radosavljevich, of the faculty of the School of Pedagogy of New York University, is hereby made; also to Professor Robert McDougall and especially to Dean Balliet of this School for encouragement and counsel. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

FOUNDATIONAL STUDY IN THE PEDA

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ISBN 13 : 9781362542124
Total Pages : 356 pages
Book Rating : 4.5/5 (421 download)

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Book Synopsis FOUNDATIONAL STUDY IN THE PEDA by : Henry Budd Howell

Download or read book FOUNDATIONAL STUDY IN THE PEDA written by Henry Budd Howell and published by . This book was released on 2016-08-26 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Foundational Study in the Pedagogy of Arithmetic

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Author :
Publisher :
ISBN 13 :
Total Pages : 360 pages
Book Rating : 4.:/5 (958 download)

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Book Synopsis A Foundational Study in the Pedagogy of Arithmetic by : Henry Budd Howell

Download or read book A Foundational Study in the Pedagogy of Arithmetic written by Henry Budd Howell and published by . This book was released on 2009 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Teaching of Arithmetic (Classic Reprint)

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Publisher : Forgotten Books
ISBN 13 : 9780484021586
Total Pages : 212 pages
Book Rating : 4.0/5 (215 download)

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Book Synopsis The Teaching of Arithmetic (Classic Reprint) by : David Eugene Smith

Download or read book The Teaching of Arithmetic (Classic Reprint) written by David Eugene Smith and published by Forgotten Books. This book was released on 2017-12-18 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from The Teaching of Arithmetic This work has been prepared with a view to the needs of Teachers' Reading Circles and of those who are giving in struction or supervising the work in arithmetic in the elemen tary schools. The effort has been made to free it from the more difficult technicalities of mathematics as far as possible, and from that phraseology of the world of pedagogy that renders educational problems unnecessarily difficult. It is the author's desire to place before the large body of teachers of arithmetic, rather than the few who are interested in the technicalities of experiment, a brief silmmary of the develop ment of the science and of the reasons for teaching it; a statement of the subject matter that may properly be selected for school purposes, and the arrangement of this matter in a course of study; a consideration of a few of the technical features of arithmetic; and a discussion of the work of the several school years. He feels it quite unnecessary, however, to repeat at length the simple explanations and devices that are found in any good textbook, believing that the teacher will usually find it advantageous in such matters to follow the book that she is using. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

A Study of Mathematical Education Including the Teaching of Arithmetic (Classic Reprint)

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Publisher : Forgotten Books
ISBN 13 : 9780428764548
Total Pages : 426 pages
Book Rating : 4.7/5 (645 download)

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Book Synopsis A Study of Mathematical Education Including the Teaching of Arithmetic (Classic Reprint) by : Benchara Branford

Download or read book A Study of Mathematical Education Including the Teaching of Arithmetic (Classic Reprint) written by Benchara Branford and published by Forgotten Books. This book was released on 2018-01-11 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from A Study of Mathematical Education Including the Teaching of Arithmetic This study is based upon twenty years' experience Of school and college education ranging through all grades, including the very elements of counting and form in the kindergarten, the mathematics appropriate to the school, and the standard required Of students for an Honours Degree in our universities. Conclusions based on class-teaching and those arrived at by experiment and by a private study Of the individual have served both to correct and to supplement each other. The substance of the present volume has also formed the introductory part Of a course of lectures on the teaching of mathematics, which, for many years, I have given in various institutions to classes of teachers from almost all types and grades Of schools, elementary as well as secondary and tertiary. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

The Teaching of Primary Arithmetic

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Publisher : Forgotten Books
ISBN 13 : 9780332789996
Total Pages : 144 pages
Book Rating : 4.7/5 (899 download)

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Book Synopsis The Teaching of Primary Arithmetic by : Henry Suzzallo

Download or read book The Teaching of Primary Arithmetic written by Henry Suzzallo and published by Forgotten Books. This book was released on 2018-04-29 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from The Teaching of Primary Arithmetic: A Critical Study of Recent Tendencies in Method The evolution of the teaching of primary arith metic extends over a period of about two hundred years, although numerous sporadic efforts at teaching the science of number to young child ren had been made long before the founding of the Francke Institute at Halle. During the eighteenth century not much progress was made until there was established the Philanthropin at Dessau, and perhaps it would be more just to speak of primary arithmetic as having its real be ginning in this institution at about the time that our country was establishing its independent ex istence. It is, however, to Pestalozzi, at the be ginning oi the nineteenth century, that we usually and rightly assign the first sympathetic movement in this direction, and it is the period from that time to the present that has seen the real evolution of the teaching of arithmetic to children in the first school years. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

The Teaching of Arithmetic

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Publisher : Forgotten Books
ISBN 13 : 9781528479806
Total Pages : 400 pages
Book Rating : 4.4/5 (798 download)

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Book Synopsis The Teaching of Arithmetic by : Paul Klapper

Download or read book The Teaching of Arithmetic written by Paul Klapper and published by Forgotten Books. This book was released on 2017-09-17 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from The Teaching of Arithmetic: A Manual for Teachers A. The Practical Values. B. The Traditional Values, which include 1. The Disciplinary Values. 2. The Pleasure Values. 3. The Cultural Value. 4. The Preparatory Value. An analysis of each of these values now presents itself for study. The Practical Values of Arithmetic. - The utilitarian value of arithmetic has long served to explain its traditional place in the elementary school curriculum. The mere routine activities of daily life demand a mastery of certain number facts and number processes. In addition, a care fully selected curriculum in arithmetic helps to give children an insight into social activities that would otherwise be unknown to them. It is necessary that children understand the meaning of averages and the modes of computing them; that they know the meaning of common mathematical symbols, of percentages of increases and decreases, of rates of taxation, of interest, of insurance - in a word, the common business practices of social life. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Knowing and Teaching Elementary Mathematics

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Publisher : Routledge
ISBN 13 : 1135149496
Total Pages : 290 pages
Book Rating : 4.1/5 (351 download)

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Book Synopsis Knowing and Teaching Elementary Mathematics by : Liping Ma

Download or read book Knowing and Teaching Elementary Mathematics written by Liping Ma and published by Routledge. This book was released on 2010-03-26 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies of teachers in the U.S. often document insufficient subject matter knowledge in mathematics. Yet, these studies give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education. Knowing and Teaching Elementary Mathematics describes the nature and development of the knowledge that elementary teachers need to become accomplished mathematics teachers, and suggests why such knowledge seems more common in China than in the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts. The anniversary edition of this bestselling volume includes the original studies that compare U.S and Chinese elementary school teachers’ mathematical understanding and offers a powerful framework for grasping the mathematical content necessary to understand and develop the thinking of school children. Highlighting notable changes in the field and the author’s work, this new edition includes an updated preface, introduction, and key journal articles that frame and contextualize this seminal work.

The Foundations of Higher Arithmetic (Classic Reprint)

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Publisher : Forgotten Books
ISBN 13 : 9780666793713
Total Pages : 218 pages
Book Rating : 4.7/5 (937 download)

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Book Synopsis The Foundations of Higher Arithmetic (Classic Reprint) by : B. F. Sisk

Download or read book The Foundations of Higher Arithmetic (Classic Reprint) written by B. F. Sisk and published by Forgotten Books. This book was released on 2018-03-03 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from The Foundations of Higher Arithmetic This work is an outgrowth of the author's experience in teaching arithmetic to advanced classes in high schools and in normals, and ha 3 been prepared especially to meet the needs of such class as. In most of the high schools, pupils are required to review arithmetic after having had instruction in algebra and geometry. At this stage of advancement they are able to appreciate a scientific treatment of the subject and to make an intensive study of the same. The sequence of topics is in accordance with the logical development of the subject. The first eight chapters may properly be considered pure arithmetic, since they deal primarily with the nature and laws of pure numbers. The remaining four chapters may be considered applied arith metic, since they deal with. Numbers as applied to the business affairs of life. A pupil's skill in applied arith metic depends in a large measure upon his knowledge of pure arithmetic. Few rules have been given, but the fundamental princi ples have been prominently set forth, and model solutions, which serve to lead the pupil step by step through the process of reasoning and thereby compel him to think. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

A Manual of Arithmetic for Teachers

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Publisher :
ISBN 13 : 9781332766277
Total Pages : 176 pages
Book Rating : 4.7/5 (662 download)

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Book Synopsis A Manual of Arithmetic for Teachers by : Edison Oberholtzer

Download or read book A Manual of Arithmetic for Teachers written by Edison Oberholtzer and published by . This book was released on 2016-06-25 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Principles and Methods of Teaching Arithmetic (Classic Reprint)

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ISBN 13 : 9781331298854
Total Pages : 352 pages
Book Rating : 4.2/5 (988 download)

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Book Synopsis Principles and Methods of Teaching Arithmetic (Classic Reprint) by : James Robert Overman

Download or read book Principles and Methods of Teaching Arithmetic (Classic Reprint) written by James Robert Overman and published by . This book was released on 2015-07-13 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Principles and Methods of Teaching Arithmetic This book, as its title indicates, is a discussion of principles and methods of teaching arithmetic. A complete study of methods of teaching any subject involves two things (a) A study of guiding principles, and (b) A study of the details of method - of possible methods of presenting the various parts of the subject. The best place to study the details of method is in connection with a review of subject matter, but such a study should be preceded or accompanied by a study of general principles. It is the purpose of this book to do three things (a) To give a clear conception of the ends to be accomplished through the work in arithmetic (b) To analyze the teaching of arithmetic into the different kinds or types of teaching that occur in the subject and to give an understanding of guiding principles and a knowledge of possible methods of procedure, tools and devices to be used in each of these types; and (c) To make clear, by means of numerous illustrations and lesson plans, how these general principles and methods of procedure apply to the teaching of the particular subject of arithmetic. The material of this book has all been developed and used in the author's classes during the last six years, and is presented here in book form in. the hope that it may contribute something toward improving and standardizing the teaching of arithmetic. It is believed that this book will be found suitable for use as a text for normal schools and teachers' reading circles. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Special Method in Arithmetic (Classic Reprint)

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Publisher : Forgotten Books
ISBN 13 : 9780484180658
Total Pages : 238 pages
Book Rating : 4.1/5 (86 download)

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Book Synopsis Special Method in Arithmetic (Classic Reprint) by : Charles A. Mcmurry

Download or read book Special Method in Arithmetic (Classic Reprint) written by Charles A. Mcmurry and published by Forgotten Books. This book was released on 2018-05-04 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Special Method in Arithmetic IT is our purpose in this volume to make plain to teachers in elementary schools the purpose of teach ing arithmetic, to outline fully a course of study based upon this controlling idea, and to discuss and illustrate the method of handling some of the chief topics. It is strictly a teacher's book, and not designed for use by children. It has been generally felt that arithmetic stands aloof from other studies, but the attempt is made here to show a very intimate and important relation to the other studies, one vital in fact to the proper plan and treatment of the whole subject. This volume is one in a series of special methods, as follows: Reading of English Classics, Primary Reading and Story Work, Geography, History, Ele mentary Science, Language, and Manual Arts. The course of study for the eight grades based on the plans worked out in these eight volumes is now in press and will appear in two volumes. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Teaching Arithmetic

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Publisher : Forgotten Books
ISBN 13 : 9780364156735
Total Pages : 214 pages
Book Rating : 4.1/5 (567 download)

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Book Synopsis Teaching Arithmetic by : Middlesex A. Bailey

Download or read book Teaching Arithmetic written by Middlesex A. Bailey and published by Forgotten Books. This book was released on 2018-03-08 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Teaching Arithmetic: A Handbook for Teachers and a Textbook for Normal and Training Schools There is a science of teaching arithmetic. The feeling of needs and the finding of means for their satisfaction is the law of advancement; logical division is the law of classifications and definitions; induction, deduction, and the complete method are the laws for the discovery of principles; experimentation and reasoning are the laws for the solution of simple problems; and the analysis of complex problems into simple problems is the law for the solution of problems in general. In Part I the author has endeavored to develop and state these laws. In Part II he has endeavored to illus trate their application; much has been omitted but enough has been given to suggest the rest. In Part III he has endeavored to give an idea of the advance in complexity from grade to grade in elementary schools and of what is required to secure primary and higher licenses for teaching arithmetic. As a handbook, this work should help the superintend ent to secure uniformity in his schools the principal to harmonize the work of the grades and the teacher to get a clear view of fundamental laws. As a textbook, this work should help the teacher in normal and training schools to supplement his lectures and prospective teachers In school and out of school to prepare for their chosen profession. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

A Textbook on the Teaching of Arithmetic (Classic Reprint)

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Publisher : Forgotten Books
ISBN 13 : 9781332608614
Total Pages : 296 pages
Book Rating : 4.6/5 (86 download)

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Book Synopsis A Textbook on the Teaching of Arithmetic (Classic Reprint) by : Alva Walker Stamper

Download or read book A Textbook on the Teaching of Arithmetic (Classic Reprint) written by Alva Walker Stamper and published by Forgotten Books. This book was released on 2016-06-20 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from A Textbook on the Teaching of Arithmetic IN planning the present book, the author has kept in mind three aspects of the teacher's preparation: the need of the perspective gained through a comprehen sion of the larger teaching problems concerned in the teaching of arithmetic, the need of a clear insight into the content of arithmetic, and the need of an understand ing of arithmetic method. The book exploits no new doctrine. It lays no claim to completeness. It has been prepared with the primary aim of supplying the practical needs of prospective teachers, or teachers new in the ser vice. On account of the efiort made to refresh the mind of the reader in the subject matter of arithmetic, the read ing frequently goes beyond the requirements of the grades, this being especially noticeable in the treatment of percen tage and in the solution of problems. If any dogmatism appears in the context, it is the result of efiorts to be clear and convincing. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Practical Arithmetic (Classic Reprint)

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Publisher : Forgotten Books
ISBN 13 : 9780266505624
Total Pages : 356 pages
Book Rating : 4.5/5 (56 download)

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Book Synopsis Practical Arithmetic (Classic Reprint) by : Joseph Ray

Download or read book Practical Arithmetic (Classic Reprint) written by Joseph Ray and published by Forgotten Books. This book was released on 2017-10-19 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Perfect for home or classroom use Practical Arithmetic is an effective mathematics textbook by Professor Joseph Ray. It includes all the essential fundamental mathematics, from addition to factors and compound interest. Ray's textbooks were primarily designed for use by teachers instructing courses in mathematics. While the books would also be appropriate for the independent learner, the focus is mainly on providing an instructor with a series of lessons to assign to students. Practical Arithmetic opens with a chapter on simple numbers, and contains lessons about notation and numeration, addition, subtraction, multiplication, and division. The second chapter examines compound numbers, and provides a series of real world case studies including the money of the United States, measuring beer, the measurement of time, and many more. Additional lessons presented throughout the text address mathematical principles such as factoring, fractions, interest, mensuration, and calculating percentage, amongst others. As with all of the titles authored by Joseph Ray, Practical Arithmetic is an effective instructor's guide. The information is presented in a logical fashion, and Ray clearly has a talent for explaining mathematical theories. Practical Arithmetic is a classic guidebook for teaching mathematics the book can serve as a good home study guide as well as a source of inspiration for classroom teachers. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

A Critical Summary of Research Relating to the Teaching of Arithmetic (Classic Reprint)

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Publisher : Forgotten Books
ISBN 13 : 9780365867982
Total Pages : 120 pages
Book Rating : 4.8/5 (679 download)

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Book Synopsis A Critical Summary of Research Relating to the Teaching of Arithmetic (Classic Reprint) by : Walter Scott Monroe

Download or read book A Critical Summary of Research Relating to the Teaching of Arithmetic (Classic Reprint) written by Walter Scott Monroe and published by Forgotten Books. This book was released on 2018-04-30 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from A Critical Summary of Research Relating to the Teaching of Arithmetic Buswell, G. T. Summary of Arithmetic Investigations, 1928, Elementary School Journal, -8, 737-47; May, June, 1929. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.