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Elementary Number Theory by Jones%2c Gareth A.%2c 1946

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1Elementary Number Theory: A Computer Approach

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2An Introductory In Elementary Number Theory

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INTRODUCTION TO NUMBER THEORY

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3Seminar In Analysis- Applications To Number Theory - The Elementary Proof Of The Prime Number Theorem- An Historical Perspective

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The study of the distribution of prime numbers has fascinated mathematicians since antiquity. It is only in modern times, however, that a precise asymptotic law for the number of primes in arbitrarily long intervals has been obtained.

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4Problem Solving In Mathematics; Elementary Number Theory And Arithmetic

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150 p. 19 cm

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5The Whole Truth About Whole Numbers : An Elementary Introduction To Number Theory

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150 p. 19 cm

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6Mathematical Gems From Elementary Combinatorics, Number Theory, And Geometry

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150 p. 19 cm

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7ERIC ED444851: Applying Insights From Research On Learning: Teaching Number Theory For Preservice Elementary Teachers.

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Elementary number theory is a standard topic in the mathematical preparation of preservice elementary teachers. To understand elementary number theory, a student must be comfortable with the representation of natural numbers as the product of primes. This paper discusses methods for accomplishing this goal in a mathematics course. It also considers the role of measurement (quotitive) division in justifying divisibility results and demonstrates one way that this connection can be exploited to strengthen student understanding of multiplication and division. The appendix contains three worksheets for students to complete. (ASK)

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8Elementary Introduction To Number Theory

Elementary number theory is a standard topic in the mathematical preparation of preservice elementary teachers. To understand elementary number theory, a student must be comfortable with the representation of natural numbers as the product of primes. This paper discusses methods for accomplishing this goal in a mathematics course. It also considers the role of measurement (quotitive) division in justifying divisibility results and demonstrates one way that this connection can be exploited to strengthen student understanding of multiplication and division. The appendix contains three worksheets for students to complete. (ASK)

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9Elementary Number Theory

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Includes index

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10A Simple Relation Between Elementary Number-Theory And Elementary Projective Geometry

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"A Simple Relation Between Elementary Number-Theory and Elementary Projective Geometry" is an article from The American Mathematical Monthly, Volume 24 . View more articles from The American Mathematical Monthly . View this article on JSTOR . View this article's JSTOR metadata . You may also retrieve all of this items metadata in JSON at the following URL: https://archive.org/metadata/jstor-2973553

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11An Elementary Treatise On Astronomy. In Two Parts. The First Containing, A Clear And Compendious View Of The Theory; The Second, A Number Of Practical Problems. To Which Are Added, Solar, Lunar, And Other Astronomical Tables

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Book digitized by Google from the library of Harvard University and uploaded to the Internet Archive by user tpb.

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12Piaget, Children, And Number : Applying Piaget's Theory To The Teaching Of Elementary Number

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Book digitized by Google from the library of Harvard University and uploaded to the Internet Archive by user tpb.

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13On Euclid's Algorithm And Elementary Number Theory

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Algorithms can be used to prove and to discover new theorems. This paper shows how algorithmic skills in general, and the notion of invariance in particular, can be used to derive many results from Euclid's algorithm. We illustrate how to use the algorithm as a verification interface (i.e., how to verify theorems) and as a construction interface (i.e., how to investigate and derive new theorems). The theorems that we verify are well-known and most of them are included in standard number theory books. The new results concern distributivity properties of the greatest common divisor and a new algorithm for efficiently enumerating the positive rationals in two different ways. One way is known and is due to Moshe Newman. The second is new and corresponds to a deforestation of the Stern-Brocot tree of rationals. We show that both enumerations stem from the same simple algorithm. In this way, we construct a Stern-Brocot enumeration algorithm with the same time and space complexity as Newman's algorithm. A short review of the original papers by Stern and Brocot is also included.

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14An Elementary (number Theory) Proof Of Touchard's Congruence

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Let B_n denote the nth Bell number. We use well-known recursive expressions for B_n to give a generalizing recursion that can be used to prove Touchard's congruence.

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15An Introductory In Elementary Number Theory

Number theory (its not my writings)

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16Some Conjectures In Elementary Number Theory

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We announce a number of conjectures associated with and arising from a study of primes and irrationals in $\mathbb{R}$. All are supported by numerical verification to the extent possible.

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17Elementary Number Theory

We announce a number of conjectures associated with and arising from a study of primes and irrationals in $\mathbb{R}$. All are supported by numerical verification to the extent possible.

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18Elementary Number Theory

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We announce a number of conjectures associated with and arising from a study of primes and irrationals in $\mathbb{R}$. All are supported by numerical verification to the extent possible.

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19Elementary Topics In Number Theory, Algebra, And Probability

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We announce a number of conjectures associated with and arising from a study of primes and irrationals in $\mathbb{R}$. All are supported by numerical verification to the extent possible.

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20An Elementary Treatise On Astronomy : In Two Parts, The First Containing A Clear And Compendious View Of The Theory, The Second, A Number Of Practical Problems, To Which Are Added Solar, Lunar, And Other Astronomical Tables

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357, 98 p., 7 leaves of plates : 23 cm

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21Instructor's Manual To Accompany: Elementary Introduction To Number Theory

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357, 98 p., 7 leaves of plates : 23 cm

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22250 Problems In Elementary Number Theory

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357, 98 p., 7 leaves of plates : 23 cm

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23Elementary Number Theory

Prepare

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24A Guide To Elementary Number Theory

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25Elementary Number Theory

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26Elementary Number Theory : A Problem Oriented Approach

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Includes bibliographical references (pages 357-368) and index

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27Elementary Number Theory; An Algebraic Approach

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28Elementary Number Theory

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29Elementary Number Theory

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30Elementary Topics In Number Theory, Algebra And Probability

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31Elementary Methods In Number Theory

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32Elementary Number Theory

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33Number Theory : An Elementary Introduction Through Diophantine Problems

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34Equations And Inequalities : Elementary Problems And Theorems In Algebra And Number Theory

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35Elementary Number Theory, 2nd Edition

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36Elementary Number Theory And Its Applications

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37Elementary Introduction To Number Theory

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38Elementary Number Theory

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39David M Burton Elementary Number Theory Mcgraw Hill Education 2010 ( 1)

Elementary Number Theory, David M Burton, Tata-McGraw Hill Edition, 6th edition, 2015.

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40ERIC ED053924: Number Theory In The Elementary School.

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The paper presents reasons for teaching topics from number theory to elementary school students: (1) it can help reveal why numbers "act" in a certain way when added, multiplied, etc., (2) it offers drill material in new areas of mathematics, (3) it can develop interest - as mathematical enrichment, (4) it offers opportunities for students to develop ideas of inductive and deductive reasoning, (5) it offers patterns which can be discovered, (6) it offers unsolved problems of mathematics, and (7) it lays a foundation for future work in algebra. Examples from number theory discussed include history, number patterns, prime numbers, unsolved problems, and divisibility rules. (JC)

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41Elementary Number Theory: A Computer Approach

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The paper presents reasons for teaching topics from number theory to elementary school students: (1) it can help reveal why numbers "act" in a certain way when added, multiplied, etc., (2) it offers drill material in new areas of mathematics, (3) it can develop interest - as mathematical enrichment, (4) it offers opportunities for students to develop ideas of inductive and deductive reasoning, (5) it offers patterns which can be discovered, (6) it offers unsolved problems of mathematics, and (7) it lays a foundation for future work in algebra. Examples from number theory discussed include history, number patterns, prime numbers, unsolved problems, and divisibility rules. (JC)

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42Elementary Number Theory Underwood Dudley ( 2008)

Elementary Number Theory, Underwood Dudley, Dover publications, 2nd edition, 2008.

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43Elementary Number Theory

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Elementary Number Theory, Underwood Dudley, Dover publications, 2nd edition, 2008.

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44Lectures On Elementary Number Theory. --

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ix, 146 p. : 24 cm. --

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45Elementary Introduction To Number Theory

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ix, 146 p. : 24 cm. --

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46ERIC ED033848: [Experimental Course In Elementary Number Theory, Cambridge Conference On School Mathematics Feasibility Study No. 35.]

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In the winter of 1965, an experimental course in Elementary Number Theory was presented to a 6th grade class in the Hosmer School, Watertown, Massachusetts. Prior to the introduction of the present material, students had been exposed in class to such topics from the University of Illinois Arithmetic Project as lattices, number lines, frame equations, and linear affine transformations. The present materials are concerned with such mathematical concepts as (1) fundamental operations involving integers, (2) division of integers which included remainders, factorization, and the Sieve of Eratosthenes, and (3) number systems in bases 2, 7, 10, and 12. Teacher and student materials that were used for a period of 14 weeks are included. [Not available in hardcopy due to marginal legibility of original document.] (RP)

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47Number Theory For Elementary School Teachers

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In the winter of 1965, an experimental course in Elementary Number Theory was presented to a 6th grade class in the Hosmer School, Watertown, Massachusetts. Prior to the introduction of the present material, students had been exposed in class to such topics from the University of Illinois Arithmetic Project as lattices, number lines, frame equations, and linear affine transformations. The present materials are concerned with such mathematical concepts as (1) fundamental operations involving integers, (2) division of integers which included remainders, factorization, and the Sieve of Eratosthenes, and (3) number systems in bases 2, 7, 10, and 12. Teacher and student materials that were used for a period of 14 weeks are included. [Not available in hardcopy due to marginal legibility of original document.] (RP)

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48ERIC ED100704: Applications Of Piagetian Theory To The Teaching Of Elementary Number Concepts: A Theory-into-Practice Approach.

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After a brief description of three Piagetian stages (pre-operational, transition to concrete operations, and concrete operations), the author identifies 12 key statements from Piaget's writings. These statements, together with related implications for teaching elementary school mathematics, methods of diagnosing stage acquisition, and examples are presented in chart form. (SD)

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49Elementary Introduction To Number Theory

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After a brief description of three Piagetian stages (pre-operational, transition to concrete operations, and concrete operations), the author identifies 12 key statements from Piaget's writings. These statements, together with related implications for teaching elementary school mathematics, methods of diagnosing stage acquisition, and examples are presented in chart form. (SD)

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50Elementary Number Theory And Its Applications

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After a brief description of three Piagetian stages (pre-operational, transition to concrete operations, and concrete operations), the author identifies 12 key statements from Piaget's writings. These statements, together with related implications for teaching elementary school mathematics, methods of diagnosing stage acquisition, and examples are presented in chart form. (SD)

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