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The number systems and operations of arithmetic : an explanation of the fundamental principles of mathematics which underlie the understanding and use of arithmetic, designed for in-service training of elementary school teachers and pre-service training of elementary school teacher candidates /
The Number Systems and Operations of Arithmetic was written for the single purpose of explaining to elementary school teachers (both in-service and in-training) the nature of those basic principles of mathematics which form the foundations and structural framework of arithmetic, and how the familiar...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Oxford :
Pergamon Press,
1966.
|
| Edición: | First edition. |
| Colección: | Commonwealth and international library of science and technology, engineering, and liberal studies. Mathematics division.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000Ia 4500 | ||
|---|---|---|---|
| 001 | SCIDIR_ocn898771856 | ||
| 003 | OCoLC | ||
| 005 | 20231120111846.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 141227s1966 enk o 000 0 eng d | ||
| 040 | |a EBLCP |b eng |e pn |c EBLCP |d N$T |d OCLCQ |d N$T |d E7B |d OCLCF |d DEBSZ |d YDXCP |d DEBBG |d OCLCQ |d MERUC |d OCLCQ |d OPELS |d OCLCQ |d VLY |d OCLCO |d OCLCQ |d OCLCO | ||
| 019 | |a 893977160 | ||
| 020 | |a 9781483137094 |q (electronic bk.) | ||
| 020 | |a 1483137090 |q (electronic bk.) | ||
| 020 | |a 9780080114064 | ||
| 020 | |a 0080114067 | ||
| 035 | |a (OCoLC)898771856 |z (OCoLC)893977160 | ||
| 050 | 4 | |a QA248.3 |b .K55 1966 | |
| 072 | 7 | |a MAT |x 000000 |2 bisacsh | |
| 082 | 0 | 4 | |a 511.1 |2 23 |
| 100 | 1 | |a Klose, Orval M. | |
| 245 | 1 | 4 | |a The number systems and operations of arithmetic : |b an explanation of the fundamental principles of mathematics which underlie the understanding and use of arithmetic, designed for in-service training of elementary school teachers and pre-service training of elementary school teacher candidates / |c Orval M. Klose. |
| 250 | |a First edition. | ||
| 260 | |a Oxford : |b Pergamon Press, |c 1966. | ||
| 300 | |a 1 online resource (280 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a The Commonwealth and international library. Mathematics division. | |
| 588 | 0 | |a Online resource; title from PDF title page (EBSCO, viewed February 2, 2015). | |
| 520 | |a The Number Systems and Operations of Arithmetic was written for the single purpose of explaining to elementary school teachers (both in-service and in-training) the nature of those basic principles of mathematics which form the foundations and structural framework of arithmetic, and how the familiar formal algorithms of arithmetic stem from these structural principles. | ||
| 505 | 0 | |a Front Cover; The Number Systems and Operations of Arithmetic; Copyright Page; Table of Contents; PREFACE; PART I: The Number Systems; CHAPTER 1.1. THE ORIGIN OF NUMERICAL THINKING; 1.1.1. The Set Concept in Human Affairs; 1.1.2. The Natural Number Concept; 1.1.3. The Counting Process; CHAPTER 1.2. THE NATURAL OPERATIONS WITH THE NATURAL NUMBERS; 1.2.1. Addition Considered as Extended Counting; 1.2.2. Multiplication Considered as a Special Case of Extended Addition; 1.2.3. Exponentiation Considered as a Special Case of Extended Multiplication; 1.2.4. Binary Operations | |
| 505 | 8 | |a CHAPTER 1.3. THE NATURAL LAWS FOR THE NATURAL OPERATIONS1.3.1. The Closure Laws; 1.3.2. The Commutative Laws; 1.3.3. The Associative Laws; 1.3.4. The Distributive Law; 1.3.5. Identity Elements; 1.3.6. Use of Sentences in Describing Natural Laws and Other Relations; CHAPTER 1.4. THE INVERSE OPERATIONS AND CONVERGENCE; THE NUMBER SYSTEMS GENERATED BY THESE OPERATIONS; 1.4.1. The Nature of an Inverse Operation; 1.4.2. Subtraction; the Integers; 1.4.3. Division; the Rational Numbers; 1.4.4. Convergence; the Real Numbers; 1.4.5. Root Extraction and the Determination of Logarithms | |
| 505 | 8 | |a The Complex Numbers1.4.6. Graphical Comparison of the Number Systems; CHAPTER 1.5. CLASSIFICATION OF THE NUMBER SYSTEMS AS ABSTRACT SYSTEMS; 1.5.1. Inverse Elements; 1.5.2. Abstract Systems; 1.5.3. Examples of Groups; 1.5.4. Examples of Fields; CHAPTER 1.6. SUMMARY; 1.6.1. Summary of the Summary; PART II: Computational Algorithms; CHAPTER 2.1. COMPUTATION WITH THE NATURAL NUMBERS; 2.1.1. The Addition Algorithm; 2.1.2. The Multiplication Algorithm; 2.1.3. The Subtraction Algorithm; 2.1.4. The Division Algorithm; 2.1.5. Adaptation from Natural Numbers to Integers | |
| 505 | 8 | |a 2.1.6. Algorithms for Greatest Common Divisor2.1.7. Algorithm for Least Common Multiple; 2.1.8. Algorithms for Change of Base; CHAPTER 2.2. COMPUTATION WITH RATIONAL NUMBERS; 2.2.1. Multiplication; 2.2.2. Addition; 2.2.3. Subtraction; 2.2.4. Division; CHAPTER 2.3. COMPUTATION WITH REAL NUMBERS; DECIMAL REPRESENTATION; 2.3.1. Addition; 2.3.2. Multiplication; 2.3.3. Subtraction; 2.3.4. Division; 2.3.5. Remarks on Precise Computation with Irrational Numbers; 2.3.6. Square Root Extraction; 2.3.7. Rounding Off; Significant Digits; CHAPTER 2.4. COMPUTATION WITH THE COMPLEX NUMBERS | |
| 505 | 8 | |a 2.4.1. Numerical Computation2.4.2. Graphical Representation of Complex Sums, Differences, Products, Quotients, Powers and Roots; INDEX; ELEMENTARY VECTORS; MODERN MATHEMATICS IN SECONDARYSCHOOLS | |
| 650 | 0 | |a Arithmetic |x Foundations. | |
| 650 | 6 | |a Arithm�etique |x Fondements. |0 (CaQQLa)201-0000823 | |
| 650 | 7 | |a MATHEMATICS |x General. |2 bisacsh | |
| 650 | 7 | |a Arithmetic |x Foundations |2 fast |0 (OCoLC)fst00814493 | |
| 776 | 0 | 8 | |i Erscheint auch als: |n Druck-Ausgabe |a Klose, Orval M. The Number Systems and Operations of Arithmetic . |t An Explanation of the Fundamental Principles of Mathematics Which Underlie the Understanding and Use of Arithmetic, Designed for In-Service Training of Elementary School Teachers Candidates Service Training of Elementary School Teacher Candidates |
| 830 | 0 | |a Commonwealth and international library of science and technology, engineering, and liberal studies. |p Mathematics division. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780080114064 |z Texto completo |