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Author : Levi Leonard Conant
Publisher : Unknown
Page : 238 pages
File Size : 55,9 Mb
Release : 1896
Category : Number concept
ISBN : HARVARD:HNYICM
Author : Levi Leonard Conant
Publisher : Unknown
Page : 236 pages
File Size : 48,5 Mb
Release : 1896
Category : Number concept
ISBN : UOM:39015063588944
Author : Charles J. Brainerd
Publisher : New York ; Toronto : Praeger
Page : 248 pages
File Size : 40,9 Mb
Release : 1979
Category : Mathematics
ISBN : UOM:39015002567454
Author : Karen C. Fuson
Publisher : Springer Science & Business Media
Page : 448 pages
File Size : 44,6 Mb
Release : 2012-12-06
Category : Psychology
ISBN : 9781461237549
For some time now, the study of cognitive development has been far and away the most active discipline within developmental psychology. Although there would be much disagreement as to the exact proportion of papers published in developmental journals that could be considered cognitive, 50% seems like a conservative estimate. Hence, a series of scholary books to be devoted to work in cognitive development is especially appropriate at this time. The Springer Series in Cognitive Development contains two basic types of books, namely, edited collections of original chapters by several authors, and original volumes written by one author or a small group of authors. The flagship for the Springer Series is a serial publication of the "advances" type, carrying the subtitle Progress in Cognitive Development Research. Volumes in the Progress sequence are strongly thematic, in that each is limited to some well-defined domain of cognitive developmental research (e. g. , logical and mathematical development, semantic development). All Progress volumes are edited collections. Editors of such books, upon consultation with the Series Editor, may elect to have their works published either as contributions to the Progress sequence or as separate volumes. All books written by one author or a small group of authors will be published as separate volumes within the series. is being used in the selec A fairly broad definition of cognitive development tion of books for this series.
Author : Levi Leonard Conant
Publisher : BoD – Books on Demand
Page : 210 pages
File Size : 52,9 Mb
Release : 2018-09-20
Category : Fiction
ISBN : 9783734023729
Reproduction of the original: The Number Concept by Levi Leonard Conant
Author : Levi L. Conant
Publisher : Good Press
Page : 172 pages
File Size : 54,7 Mb
Release : 2019-11-20
Category : Fiction
ISBN : EAN:4057664180209
'The Number Concept: Its Origin and Development' is a non-fiction book written by Levi L. Conant. This book is a treasure trove of fascinating insights and cultural perspectives, delving deep into the intricacies of numeracy across various civilizations. From illuminating historical reference tables to captivating explorations of the words used for each number, this book offers a wealth of knowledge that is sure to both educate and enthrall. It is a must-read for anyone with an interest in the cultural significance of numbers and their place in history.
Author : Ernesto Bayona
Publisher : Page Publishing Inc
Page : 26 pages
File Size : 52,9 Mb
Release : 2022-11-11
Category : Education
ISBN : 9781662491092
This project is based on developing a true calculation method that correctly defines the axioms that establish the concept of number, solving the division by zero, and the mathematical definitions that allow its implementation.
Author : Richard Samuels,Eric Snyder
Publisher : Cambridge University Press
Page : 179 pages
File Size : 48,5 Mb
Release : 2024-02-29
Category : Philosophy
ISBN : 9781009059473
This Element, written for researchers and students in philosophy and the behavioral sciences, reviews and critically assesses extant work on number concepts in developmental psychology and cognitive science. It has four main aims. First, it characterizes the core commitments of mainstream number cognition research, including the commitment to representationalism, the hypothesis that there exist certain number-specific cognitive systems, and the key milestones in the development of number cognition. Second, it provides a taxonomy of influential views within mainstream number cognition research, along with the central challenges these views face. Third, it identifies and critically assesses a series of core philosophical assumptions often adopted by number cognition researchers. Finally, the Element articulates and defends a novel version of pluralism about number concepts.
Author : Levi Leonard Conant
Publisher : Unknown
Page : 107 pages
File Size : 44,7 Mb
Release : 2021-10-18
Category : Electronic
ISBN : 9798499021675
Among the speculative questions which arise in connection with the study of arithmetic from a historical standpoint, the origin of number is one that has provoked much lively discussion, and has led to a great amount of learned research among the primitive and savage languages of the human race. A few simple considerations will, however, show that such research must necessarily leave this question entirely unsettled, and will indicate clearly that it is, from the very nature of things, a question to which no definite and final answer can be given. Among the barbarous tribes whose languages have been studied, even in a most cursory manner, none have ever been discovered which did not show some familiarity with the number concept. The knowledge thus indicated has often proved to be most limited; not extending beyond the numbers 1 and 2, or 1, 2, and 3. Examples of this poverty of number knowledge are found among the forest tribes of Brazil, the native races of Australia and elsewhere, and they are considered in some detail in the next chapter. At first thought it seems quite inconceivable that any human being should be destitute of the power of counting beyond 2. But such is the case; and in a few instances languages have been found to be absolutely destitute of pure numeral words. The Chiquitos of Bolivia had no real numerals whatever,1 but expressed their idea for "one" by the word etama, meaning alone. The Tacanas of the same country have no numerals except those borrowed from Spanish, or from Aymara or Peno, languages with which they have long been in contact.2 A few other South American languages are almost equally destitute of numeral words. But even here, rudimentary as the number sense undoubtedly is, it is not wholly lacking; and some indirect expression, or some form of circumlocution, shows a conception of the difference between one and two, or at least, between one and many. These facts must of necessity deter the mathematician from seeking to push his investigation too far back toward the very origin of number. Philosophers have endeavoured to establish certain propositions concerning this subject, but, as might have been expected, have failed to reach any common ground of agreement. Whewell has maintained that "such propositions as that two and three make five are necessary truths, containing in them an element of certainty beyond that which mere experience can give." Mill, on the other hand, argues that any such statement merely expresses a truth derived from early and constant experience; and in this view he is heartily supported by Tylor.3 But why this question should provoke controversy, it is difficult for the mathematician to understand. Either view would seem to be correct, according to the standpoint from which the question is approached. We know of no language in which the suggestion of number does not appear, and we must admit that the words which give expression to the number sense would be among the early words to be formed in any language. They express ideas which are, at first, wholly concrete, which are of the greatest possible simplicity, and which seem in many ways to be clearly understood, even by the higher orders of the brute creation. The origin of number would in itself, then, appear to lie beyond the proper limits of inquiry; and the primitive conception of number to be fundamental with human thought.
Author : Levi L Conant
Publisher : Unknown
Page : 166 pages
File Size : 44,7 Mb
Release : 2020-03-21
Category : Electronic
ISBN : 9798628994849
Among the speculative questions which arise in connection with the study of arithmetic from a historical standpoint, the origin of number is one that has provoked much lively discussion, and has led to a great amount of learned research among the primitive and savage languages of the human race. A few simple considerations will, however, show that such research must necessarily leave this question entirely unsettled, and will indicate clearly that it is, from the very nature of things, a question to which no definite and final answer can be given.Among the barbarous tribes whose languages have been studied, even in a most cursory manner, none have ever been discovered which did not show some familiarity with the number concept. The knowledge thus indicated has often proved to be most limited; not extending beyond the numbers 1 and 2, or 1, 2, and 3. Examples of this poverty of number knowledge are found among the forest tribes of Brazil, the native races of Australia and elsewhere, and they are considered in some detail in the next chapter. At first thought it seems quite inconceivable that any human being should be destitute of the power of counting beyond 2. But such is the case; and in a few instances languages have been found to be absolutely destitute of pure numeral words.
Author : Levi L Conant
Publisher : Unknown
Page : 166 pages
File Size : 53,7 Mb
Release : 2020-03-21
Category : Electronic
ISBN : 9798628994856
Among the speculative questions which arise in connection with the study of arithmetic from a historical standpoint, the origin of number is one that has provoked much lively discussion, and has led to a great amount of learned research among the primitive and savage languages of the human race. A few simple considerations will, however, show that such research must necessarily leave this question entirely unsettled, and will indicate clearly that it is, from the very nature of things, a question to which no definite and final answer can be given.Among the barbarous tribes whose languages have been studied, even in a most cursory manner, none have ever been discovered which did not show some familiarity with the number concept. The knowledge thus indicated has often proved to be most limited; not extending beyond the numbers 1 and 2, or 1, 2, and 3. Examples of this poverty of number knowledge are found among the forest tribes of Brazil, the native races of Australia and elsewhere, and they are considered in some detail in the next chapter. At first thought it seems quite inconceivable that any human being should be destitute of the power of counting beyond 2. But such is the case; and in a few instances languages have been found to be absolutely destitute of pure numeral words.
Author : Georgina Kucherik and Mary Bain
Publisher : Rainbow Horizons Publishing
Page : 14 pages
File Size : 54,6 Mb
Release : 2021-06-04
Category : Education
ISBN : 9781773440866
This package contains 10 black and white prints of the number concepts from 1-10. Canadian animals have been used to represent the number concepts.
Author : Levi L Conant
Publisher : Unknown
Page : 166 pages
File Size : 50,8 Mb
Release : 2020-03-21
Category : Electronic
ISBN : 9798628994818
Among the speculative questions which arise in connection with the study of arithmetic from a historical standpoint, the origin of number is one that has provoked much lively discussion, and has led to a great amount of learned research among the primitive and savage languages of the human race. A few simple considerations will, however, show that such research must necessarily leave this question entirely unsettled, and will indicate clearly that it is, from the very nature of things, a question to which no definite and final answer can be given.Among the barbarous tribes whose languages have been studied, even in a most cursory manner, none have ever been discovered which did not show some familiarity with the number concept. The knowledge thus indicated has often proved to be most limited; not extending beyond the numbers 1 and 2, or 1, 2, and 3. Examples of this poverty of number knowledge are found among the forest tribes of Brazil, the native races of Australia and elsewhere, and they are considered in some detail in the next chapter. At first thought it seems quite inconceivable that any human being should be destitute of the power of counting beyond 2. But such is the case; and in a few instances languages have been found to be absolutely destitute of pure numeral words.
Author : Levi Leonard Conant
Publisher : Createspace Independent Publishing Platform
Page : 226 pages
File Size : 50,8 Mb
Release : 2017-09-20
Category : Electronic
ISBN : 1976591988
This is a book which though small bears evidence of a wonderful amount of research and labor. The author, Professor Conant, has drawn from every possible source to give the reader information upon the origin of number, the use ol numerals, the terms used in mathematics, in the weights and measures, and in every conceivable direction where number comes into use. At first sight the book seems to be dry, or, to say the least, adapted only to the comprehension of those to whom mathematics is a delight or a necessity; but as one looks over the pages very interesting matter is revealed and there is an immense amount of information written in a very attractive style. --The Buffalo Commercial . Prof. L. L. Conant, of the Worcester Polytechnic Institute, in his opening chapter on "Counting'' in his just published work on " The Number Concept, Its Origin and Development," says: "Among the speculative questions which arise in connection with the study of arithmetic from a historical standpoint the origin of number is one that has provoked the most lively discussion and has led to a great amount of learned research among the primitive and savage languages of the human race. Prof. Conant can find no trace in the history of even the most barbarous tribes where there is not at least some familiarity with the number concept. This knowledge is in some cases extremely limited. Among some of the forest tribes of Brazil and the native races of Australia the knowledge of numbers does not go beyond 1 and 2, or 1, 2 and 3, but there is the knowledge all the same. There is at least the concept even in the lowest condition of savagery of a difference between one and two, or at least between one and many. Some idea of the scope of this most interesting work may be had from the chapter titles, Counting, Number System Limits, Origin of Number Words, Miscellaneous Number Bases, The Quinary System, and the Vigesimal System. The work shows great research and Prof. Conant has drawn as far as possible upon original resources. He has also taken great care in the selection of his authorities, and makes his work an attractive one even to those who have little or no interest in mathematics. --The Boston Daily Advertiser.
Author : Garret Sobczyk
Publisher : Springer Science & Business Media
Page : 373 pages
File Size : 54,5 Mb
Release : 2012-10-26
Category : Mathematics
ISBN : 9780817683856
The first book of its kind, New Foundations in Mathematics: The Geometric Concept of Number uses geometric algebra to present an innovative approach to elementary and advanced mathematics. Geometric algebra offers a simple and robust means of expressing a wide range of ideas in mathematics, physics, and engineering. In particular, geometric algebra extends the real number system to include the concept of direction, which underpins much of modern mathematics and physics. Much of the material presented has been developed from undergraduate courses taught by the author over the years in linear algebra, theory of numbers, advanced calculus and vector calculus, numerical analysis, modern abstract algebra, and differential geometry. The principal aim of this book is to present these ideas in a freshly coherent and accessible manner. New Foundations in Mathematics will be of interest to undergraduate and graduate students of mathematics and physics who are looking for a unified treatment of many important geometric ideas arising in these subjects at all levels. The material can also serve as a supplemental textbook in some or all of the areas mentioned above and as a reference book for professionals who apply mathematics to engineering and computational areas of mathematics and physics.