A Study Of Mathematical Education Including The Teaching Of Arithmetic Classic Reprint

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

Author : Benchara Branford
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.

A Study of Mathematical Education: Including the Teaching of Arithmetic (1908)

Author : Benchara Branford
Publisher :
ISBN 13 : 9781436592161
Total Pages : 404 pages
Book Rating : 4.5/5 (921 download)

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Book Synopsis A Study of Mathematical Education: Including the Teaching of Arithmetic (1908) by : Benchara Branford

Download or read book A Study of Mathematical Education: Including the Teaching of Arithmetic (1908) written by Benchara Branford and published by . This book was released on 2008-06-01 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work.

The Teaching of Arithmetic (Classic Reprint)

Author : David Eugene Smith
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

Author : Benchara Branford
Publisher : Palala Press
ISBN 13 : 9781346739533
Total Pages : 426 pages
Book Rating : 4.7/5 (395 download)

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Book Synopsis A Study of Mathematical Education, Including the Teaching of Arithmetic by : Benchara Branford

Download or read book A Study of Mathematical Education, Including the Teaching of Arithmetic written by Benchara Branford and published by Palala Press. This book was released on 2015-11-18 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

The Teaching of Arithmetic

Author : Paul Klapper
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.

A Study of Mathematical Education Including the Teaching of Arithmetic

Author : Branford Benchara
Publisher : Palala Press
ISBN 13 : 9781355440116
Total Pages : 458 pages
Book Rating : 4.4/5 (41 download)

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Book Synopsis A Study of Mathematical Education Including the Teaching of Arithmetic by : Branford Benchara

Download or read book A Study of Mathematical Education Including the Teaching of Arithmetic written by Branford Benchara and published by Palala Press. This book was released on 2016-05-04 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

The Mathematical Education of Teachers

Author : Conference Board of the Mathematical Sciences
Publisher : American Mathematical Soc.
ISBN 13 : 9780821828991
Total Pages : 164 pages
Book Rating : 4.8/5 (289 download)

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Book Synopsis The Mathematical Education of Teachers by : Conference Board of the Mathematical Sciences

Download or read book The Mathematical Education of Teachers written by Conference Board of the Mathematical Sciences and published by American Mathematical Soc.. This book was released on 2001 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now is a time of great interest in mathematics education. Student performance, curriculum, and teacher education are the subjects of much scrutiny and debate. Studies on the mathematical knowledge of prospective and practicing U. S. teachers suggest ways to improve their mathematical educations. It is often assumed that because the topics covered in K-12 mathematics are so basic, they should be easy to teach. However, research in mathematics education has shown that to teach well,substantial mathematical understanding is necessary--even to teach whole-number arithmetic. Prospective teachers need a solid understanding of mathematics so that they can teach it as a coherent, reasoned activity and communicate its elegance and power. This volume gathers and reports current thinkingon curriculum and policy issues affecting the mathematical education of teachers. It considers two general themes: (1) the intellectual substance in school mathematics; and (2) the special nature of the mathematical knowledge needed for teaching. The underlying study was funded by a grant from the U.S. Department of Education. The mathematical knowledge needed for teaching is quite different from that required by students pursuing other mathematics-related professions. Material here is gearedtoward stimulating efforts on individual campuses to improve programs for prospective teachers. This report contains general recommendations for all grades and extensive discussions of the specific mathematical knowledge required for teaching elementary, middle, and high-school grades, respectively.It is also designed to marshal efforts in the mathematical sciences community to back important national initiatives to improve mathematics education and to expand professional development opportunities. The book will be an important resource for mathematics faculty and other parties involved in the mathematical education of teachers. Information for our distributors: This series is published in cooperation with the Mathematical Association of America.

Classics in Mathematics Education Research

Author : Thomas P. Carpenter
Publisher : National Council of Teachers of English
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Classics in Mathematics Education Research by : Thomas P. Carpenter

Download or read book Classics in Mathematics Education Research written by Thomas P. Carpenter and published by National Council of Teachers of English. This book was released on 2004 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Udvalgte artikler fra bøger og tidsskrifter fra perioden 1947-1996

Mathematics Education for a New Era

Author : Keith Devlin
Publisher : CRC Press
ISBN 13 : 1439867712
Total Pages : 220 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Mathematics Education for a New Era by : Keith Devlin

Download or read book Mathematics Education for a New Era written by Keith Devlin and published by CRC Press. This book was released on 2011-02-25 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stanford mathematician and NPR Math Guy Keith Devlin explains why, fun aside, video games are the ideal medium to teach middle-school math. Aimed primarily at teachers and education researchers, but also of interest to game developers who want to produce videogames for mathematics education, Mathematics Education for a New Era: Video Games as a Med

A Study of Mathematical Educationincluding the Teaching of Arithmetic

Author : Benchara. Bronford
Publisher :
ISBN 13 : 9781354733301
Total Pages : 412 pages
Book Rating : 4.7/5 (333 download)

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Book Synopsis A Study of Mathematical Educationincluding the Teaching of Arithmetic by : Benchara. Bronford

Download or read book A Study of Mathematical Educationincluding the Teaching of Arithmetic written by Benchara. Bronford and published by . This book was released on 2016-04-27 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt:

On the Study and Difficulties of Mathematics (Classic Reprint)

Author : Augustus De Morgan
Publisher : Forgotten Books
ISBN 13 : 9780331890808
Total Pages : 304 pages
Book Rating : 4.8/5 (98 download)

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Book Synopsis On the Study and Difficulties of Mathematics (Classic Reprint) by : Augustus De Morgan

Download or read book On the Study and Difficulties of Mathematics (Classic Reprint) written by Augustus De Morgan and published by Forgotten Books. This book was released on 2017-11-25 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bringing to life the joys and difficulties of mathematics this book is a must read for anyone with a love of puzzles, a head for figures or who is considering further study of mathematics. On the Study and Difficulties of Mathematics is a book written by accomplished mathematician Augustus De Morgan. Now republished by Forgotten Books, De Morgan discusses many different branches of the subject in some detail. He doesn't shy away from complexity but is always entertaining. One purpose of De Morgan's book is to serve as a guide for students of mathematics in selecting the most appropriate course of study as well as to identify the most challenging mental concepts a devoted learner will face. "No person commences the study of mathematics without soon discovering that it is of a very different nature from those to which he has been accustomed," states De Morgan in his introduction. The book is divided into chapters, each of which is devoted to a different mathematical concept. From the elementary rules of arithmetic, to the study of algebra, to geometrical reasoning, De Morgan touches on all of the concepts a math learner must master in order to find success in the field. While a brilliant mathematician in his own right, De Morgan's greatest skill may have been as a teacher. On the Study and Difficulties of Mathematics is a well written treatise that is concise in its explanations but broad in its scope while remaining interesting even for the layman. On the Study and Difficulties of Mathematics is an exceptional book. Serious students of mathematics would be wise to read De Morgan's work and will certainly be better mathematicians for it. 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 Elementary Mathematics (Classic Reprint)

Author : David Eugene Smith
Publisher : Forgotten Books
ISBN 13 : 9780484237390
Total Pages : 334 pages
Book Rating : 4.2/5 (373 download)

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

Download or read book The Teaching of Elementary Mathematics (Classic Reprint) written by David Eugene Smith and published by Forgotten Books. This book was released on 2017-12-20 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from The Teaching of Elementary Mathematics If this work shall help, even in a small way, to open a wider field, or to offer a better point of view, to some one just entering the profession, the author will feel repaid for his labors. 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 Educational Significance of Sixteenth Century Arithmetic From the Point of View of the Present Time (Classic Reprint)

Author : Lambert Lincoln Jackson
Publisher : Forgotten Books
ISBN 13 : 9780484565332
Total Pages : 238 pages
Book Rating : 4.5/5 (653 download)

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Book Synopsis The Educational Significance of Sixteenth Century Arithmetic From the Point of View of the Present Time (Classic Reprint) by : Lambert Lincoln Jackson

Download or read book The Educational Significance of Sixteenth Century Arithmetic From the Point of View of the Present Time (Classic Reprint) written by Lambert Lincoln Jackson and published by Forgotten Books. This book was released on 2017-12-23 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Educational Significance of Sixteenth Century Arithmetic: From the Point of View of the Present Time is a history text written by Dr. Lambert Lincoln Jackson. The work is an examination of the early teaching of arithmetic in the United States. Jackson's book is about the impact of sixteenth century teaching methods and how they influenced later understandings and approaches to the pedagogy of arithmetic. This is an academic text, presented as a dissertation by the author. The work is divided into two parts, part one presenting the results of Jackson's research into historical teaching methods of arithmetic, and part two using these findings to examine the impact of sixteenth century teaching methods on the teaching of arithmetic in the late 1800s and early 1900s. As with any academic text, a detailed bibliography is presented to accompany the work. The Educationa Significance of Sixteenth Century Arithmetic is a thoroughly researched examination of its topic. Jackson acknowledges in the preface that little work had been done on the history of sixteenth century arithmetic teaching methods, and so this dissertation thus serves a dual purpose: not only to create a detailed history, but also to analyze its implications. Jackson is a skilled academic with a mind for critical thinking. Students and scholars of educational history will surely find The Educational Significance of Six Sixteenth Century Arithmetic: From the Point of View of the Present Time to be a fascinating read. Jackson created the first detailed history of the subject matter, and it is one that remains relevant to this day. While this work may not be ideal for light reading, it is certainly an important piece of research. 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

Author : John Charles Stone
Publisher : Wentworth Press
ISBN 13 : 9780526016716
Total Pages : 270 pages
Book Rating : 4.0/5 (167 download)

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Book Synopsis The Teaching of Arithmetic by : John Charles Stone

Download or read book The Teaching of Arithmetic written by John Charles Stone and published by Wentworth Press. This book was released on 2019-02-27 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

The Place of the Elementary Calculus in the Senior High-School Mathematics

Author : Noah Bryan Rosenberger
Publisher : Forgotten Books
ISBN 13 : 9781334017971
Total Pages : 96 pages
Book Rating : 4.0/5 (179 download)

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Book Synopsis The Place of the Elementary Calculus in the Senior High-School Mathematics by : Noah Bryan Rosenberger

Download or read book The Place of the Elementary Calculus in the Senior High-School Mathematics written by Noah Bryan Rosenberger and published by Forgotten Books. This book was released on 2016-10-20 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from The Place of the Elementary Calculus in the Senior High-School Mathematics: And Suggestions for a Modern Presentation of the Subject Even a little less than a decade ago, the trained teacher of high school mathematics had the pleasure of teaching real mathematics as found in such subjects as trigonometry, solid and plane geometry, and advanced and elementary algebra. It is doubtless true that this kind of work was inclining too much toward formalism and that the needs of the learner were not being given sufficient attention. The strong reaction against formalism in general in education during the decade just past made the position of any genuine mathematics in our high schools very precarious. This threatened elimination of all real mathematics in our high schools was viewed with regret by those of us who had had the pleasure of starting many a pupil with a vigorous mind upon his mathematical way; and a number of prom inent educators who are especially interested in the teaching of mathematics have been working toward a readjustment of the mathematics curriculum so that it will fit into and fulfill its mission in the changed conditions as found in our schools to-day. The following study is the author's contribution toward this attempted readjustment. The kind of mathematics that should be taught in the first six school years has been definitely settled; the main points of the work in mathematics that should be included in the junior high-school period have been agreed upon; and the author hopes that his study will be of some value in helping us to formulate the content of the mathematics curriculum of the senior high school. 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)

Author : Joseph Ray
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 Textbook on the Teaching of Arithmetic (Classic Reprint)

Author : Alva Walker Stamper
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.