Download or read book First Lessons in Arithmetic Io the Inductive Plan written by William J. Milne and published by Createspace Independent Publishing Platform. This book was released on 2016-10-10 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the Preface. This book is designed to teach the principles of Arithmetical Science as far as they are involved in the elementary processes, and to secure a reasonable degree of accuracy and rapidity in expressing numbers and computing results. The pupils for whose use this book is intended cannot be expected, at the outset, to explain processes, give definitions, or assign reasons, though their notions of all of them may be quite correct; much less should they be expected to grasp the principles of a science by committing to memory statements which are the deductions and generalizations of persons entirely familiar with the subjects treated. And, therefore, this work has been prepared upon the inductive and objective methods, so that the pupil may obtain his knowledge of arithmetic from actual work with numbers, rather than from the stereotyped statements of the book. The true method of awakening in the child a clear idea of numbers is through a perception of objects, or by pictures or other representations of them. After he has become familiar with things and their names, the name will signify to him all that he needs to know about the objects so far as number is concerned; and it is no longer necessary that the objects should be present before him. The necessity, too, of associating the same numbers with such a variety of things, causes him at length to cease to regard them in connection with any particular thing, or as anything more than abstractions. In harmony with these laws of the development and growth of mind, this work presents at first the idea of number connected with visual representations of objects; afterward, when the pupils become familiar with the objects, concrete examples are given without illustration, and these are immediately followed by exercises upon abstract numbers, so that the pupil may become familiar with the various combinations that may be formed. The first lessons are devoted to instruction in counting, reading, and writing numbers up to twenty. Immediately following these, are lessons upon Addition, in which abundant practice is given in combining numbers. The fundamental processes of Subtraction, Multiplication and Division, are treated upon a plan similar to that exemplified in Addition, including besides, numerous examples combining two or more of the previous processes. The lessons on Fractions are so simple and yet so thorough, that the pupil is enabled to read, write, add, subtract, multiply, and divide fractions when the processes are not very complex. The work on Written Arithmetic, which follows, is believed to be simple, thorough, and practical; and the brief and practical treatment of the various classes of denominate numbers in common use, makes the work quite comprehensive within its scope. With the hope that the features of this book will commend it to all intelligent persons, and that instruction in the rudiments of arithmetic may be rendered more interesting and effective through its agency, it is confidently offered to the public.
Download or read book First Lessons in Arithmetic on the Inductive Plan written by William James Milne and published by . This book was released on 1878 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book FIRST LESSONS IN ARITHMETIC ON THE INDUCTIVE PLAN written by WILLIAM J. MILNE and published by . This book was released on 2018 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book First Lessons in Mental and Written Arithmetic Upon the Inductive Plan written by Orlando Blanchard and published by . This book was released on 1854 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book First Lessons in Arithmetic on the Inductive Plan written by William James Milne and published by . This book was released on 1906 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book First Lessons in Arithmetic on the Inductive Plan written by William J Milne and published by . This book was released on 2019-08-03 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the Preface.This book is designed to teach the principles of Arithmetical Science as far as they are involved in the elementary processes, and to secure a reasonable degree of accuracy and rapidity in expressing numbers and computing results.The pupils for whose use this book is intended cannot be expected, at the outset, to explain processes, give definitions, or assign reasons, though their notions of all of them may be quite correct; much less should they be expected to grasp the principles of a science by committing to memory statements which are the deductions and generalizations of persons entirely familiar with the subjects treated. And, therefore, this work has been prepared upon the inductive and objective methods, so that the pupil may obtain his knowledge of arithmetic from actual work with numbers, rather than from the stereotyped statements of the book.The true method of awakening in the child a clear idea of numbers is through a perception of objects, or by pictures or other representations of them. After he has become familiar with things and their names, the name will signify to him all that he needs to know about the objects so far as number is concerned; and it is no longer necessary that the objects should be present before him. The necessity, too, of associating the same numbers with such a variety of things, causes him at length to cease to regard them in connection with any particular thing, or as anything more than abstractions.In harmony with these laws of the development and growth of mind, this work presents at first the idea of number connected with visual representations of objects; afterward, when the pupils become familiar with the objects, concrete examples are given without illustration, and these are immediately followed by exercises upon abstract numbers, so that the pupil may become familiar with the various combinations that may be formed.The first lessons are devoted to instruction in counting, reading, and writing numbers up to twenty. Immediately following these, are lessons upon Addition, in which abundant practice is given in combining numbers. The fundamental processes of Subtraction, Multiplication and Division, are treated upon a plan similar to that exemplified in Addition, including besides, numerous examples combining two or more of the previous processes. The lessons on Fractions are so simple and yet so thorough, that the pupil is enabled to read, write, add, subtract, multiply, and divide fractions when the processes are not very complex. The work on Written Arithmetic, which follows, is believed to be simple, thorough, and practical; and the brief and practical treatment of the various classes of denominate numbers in common use, makes the work quite comprehensive within its scope.With the hope that the features of this book will commend it to all intelligent persons, and that instruction in the rudiments of arithmetic may be rendered more interesting and effective through its agency, it is confidently offered to the public.
Download or read book A Mental Arithmetic Upon the Inductive Plan written by Benjamin Greenleaf and published by . This book was released on 1857 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Colburn s First Lessons written by Warren Colburn and published by . This book was released on 1826 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Mental Arithmetic Upon the Inductive Plan written by Benjamin Greenleaf and published by . This book was released on 1859 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Greenleaf s New Primary Arithmetic written by Benjamin Greenleaf and published by . This book was released on 1862 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Intellectual Arithmetic Upon the Inductive Method of Instruction written by Warren Colburn and published by . This book was released on 1836 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Colburn s First Lessons written by Warren Colburn and published by . This book was released on 1837 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Practical Arithmetic on the Inductive Plan written by William James Milne and published by . This book was released on 1877 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Intellectual Arithmetic written by Warren Colburn and published by . This book was released on 1863 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Progressive Intellectual Arithmetic on the Inductive Plan written by Horatio Nelson Robinson and published by . This book was released on 1861 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Spiral Plan of Teaching Arithmetic written by John Henry Walsh and published by . This book was released on 1893 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Metamathematics of First Order Arithmetic written by Petr Hájek and published by Cambridge University Press. This book was released on 2017-03-02 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the third publication in the Perspectives in Logic series, is a much-needed monograph on the metamathematics of first-order arithmetic. The authors pay particular attention to subsystems (fragments) of Peano arithmetic and give the reader a deeper understanding of the role of the axiom schema of induction and of the phenomenon of incompleteness. The reader is only assumed to know the basics of mathematical logic, which are reviewed in the preliminaries. Part I develops parts of mathematics and logic in various fragments. Part II is devoted to incompleteness. Finally, Part III studies systems that have the induction schema restricted to bounded formulas (bounded arithmetic).
