Mathematics and the elementary teacher:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Philadelphia [u.a.]
Saunders
1976
|
| Ausgabe: | 3. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 405 S. Ill., graph. Darst. |
| ISBN: | 0721626971 |
Internformat
MARC
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| 100 | 1 | |a Copeland, Richard W. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Mathematics and the elementary teacher |c Richard W. Copeland |
| 250 | |a 3. ed. | ||
| 264 | 1 | |a Philadelphia [u.a.] |b Saunders |c 1976 | |
| 300 | |a XI, 405 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Mathematics |x Study and teaching (Elementary) | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002097875&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
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Datensatz im Suchindex
| _version_ | 1804117674075095041 |
|---|---|
| adam_text | Contents
Chapter 1
MATHEMATICS IN THE ELEMENTARY SCHOOL TODAY 1
The Psychology of Understanding Mathematics-1 •
Arithmetic-1 • Geometry-2 • Algebra-3 • The
Structure of the Number System-3 • Precision of Ex-
pression-4 • Summary-5 • Individual Term Projects-6
Chapter 2
COGNITIVE DEVELOPMENT AND LEARNING
MATHEMATICS 9
The Piaget Model-10
Chapter 3
CONTRASTING PSYCHOLOGIES OF LEARNING RELATED
TO MATHEMATICS 21
A Basis for the Teacher s Role-21 • Contrasting Ob-
jectives-23 • A Contrast in Philosophy-25 • Readiness
and Acceleration-25 • Training Research on Accelera-
tion-25 • Transfer of Training-28 • Learning and
Development-28 • The Developing vs. the Programmed
Teacher-29
Chapter 4
SETS AND LOGICAL CLASSIFICATION 31
Basic Mathematical and Psychological Structures-31 •
Sets and Classification-32 • Stages in Ability to
vii
Classify-33 • Classification Activities for Children-48 •
Logical Classification Games-48
Chapter 5
ORDERING AND SERIATION 51
A Research Study on Seriation-54 • Summary of
Development in Ability to Seriate-55 • Serial and
Ordinal Correspondence-56 • Relating Ordinal Numbers
to Cardinal Numbers (Ordinal and Cardinal Correspond¬
ence)-^ • Sets On Which No Relation Such As Length
Has Been Imposed-61 • Learning To Write Number
Symbols or Numerals-62 • The Number Line-65
Chapter 6
CARDINAL NUMBER 67
The Relation of Logical Classification and Number As
Developmental Processes-67 • Conservation of Num-
ber-68 • Socialization To Number-70 • Testing for
Conservation-71 • Steps in Understanding Number-74 •
Place Value, Addition, and Base Ten-76 • Set Termin¬
ology and Notation-81
Chapter 7
UNDERSTANDING PLACE VALUE 85
Egyptian System of Numeration-85 • The Roman
System of Numeration-88 • The Mayan System of
Numeration-91 • The Hindu-Arabic System of Numera-
tion-94 • Numbers and Numerals-95 • Expanded
Notation and Zero As An Exponent-97 • Bases Other
Than Ten-99
Chapter 8
ADDITION AND SUBTRACTION OF WHOLE NUMBERS 107
Addition As An Operation-107 • Introducing Children
to Addition-110 • Learning the Basic Addition
Facts-113 • The Commutative Property of Addition-119
• The Associative Property of Addition-121 • Adding
Numbers Symbolized with Two or More Digits-125 •
Mathematical Basis for the Algorism of Column Addi-
tion-131 • Subtracting Numbers Expressed with Two or
More Digits-132 • Subtraction Algorisms-136 • The
Additive-Equal Addition Method-137 • The Comple¬
mentary Method-137 • Addition and Subtraction in a
Nondecimal Base-139
Chapter 9
MULTIPLICATION 147
Multiplication As Related to Addition-147 • Readiness
for Multiplication-148 • Learning the Basic Multiplica¬
tion Facts (0 x 0 to 9 x 9)-148 • Multiplication As a
Cartesian Product-154 • Properties of Multiplication of
Whole Numbers-159 • Introducing the Algorism for
Multiplication to Children-163 • Multiplication in
Nondecimal Bases-169
Chapter 10
DIVISION 174
Division As the Inverse of Multiplication-174 • Division
Applied to the Physical World-174 • Introducing the
Basic Division Facts-178 • Division by Zero-180 •
Introducing the Division Algorism-181 • Prime Numbers
and Division-190 • Division in Nondecimal Bases-192
Chapter 11
MATHEMATICAL APTITUDE, LANGUAGE, AND
EXPERIENCE 196
Aptitude for Mathematics-196 • The Language of
Mathematics-197 • The Role of Experience in Teach¬
ing-198 • Individualization or Socialization-200 •
Learning by Discovery and Invention-201 • The Role
of the Teacher-202
Chapter 12
MATHEMATICS AND THE EXCEPTIONAL CHILD 204
Methods of Teaching-204 • Categories of Exceptional
Children-205 • Referenees-216
Chapter 13
GEOMETRY FOR THE FIVE TO NINE YEAR OLD 217
Why Study Geometry ?-217 • Geometry for Children
Five to Nine-220 • Teaching Topological Concepts-226
• Teaching Projective Geometry (Perspective)-230 •
Activities for Children-230
Chapter 14
UNDERSTANDING TIME 233
Ordering or Succession-234 • Duration-234 •
Isochronism-235 • Synchronism-235 • The Con¬
struction of Time Units-238 • Proportions-238 •
Conclusion-239
Chapter 15
NONMETRIC GEOMETRY FOR THE NINE TO TWELVE
YEAR OLD 242
Euclidean Space-242 • Basic Euclidean Shapes-245 •
Polygons-247 • Geoboards-251 • The Golden
Rectangle-251 • Lines, Rays, Planes, and Angles-254 •
Symmetry-259 • The Tangram-262 • Constructions-
264 • Construction Activities for Children-265
Chapter 16
MEASUREMENT 269
Readiness for Learning Measurement-269 • Beginning
Activities in Measurement-274 • History of Measure-
ment-275 • The Metric System-279 • Introducing
Children to the Metric System-282 • Measurement
Activities with a Geoboard-291 • Other Measurement
Activities for Children-293
Chapter 17
FRACTIONAL NUMBERS 296
Readiness for Understanding Fractions-296 • Introduc¬
ing Fractional Numbers-297 • Renaming Fractional
Numbers-298 • Addition of Fractional Numbers-301 •
Subtraction of Fractional Numbers-309 • Multiplication
of Fractional Numbers-314 • Division of Fractional
Numbers-321 • Sample Activities for Children-327 •
Rational Numbers-330
Chapter 18
RATIONAL NUMBERS AS DECIMAL FRACTIONS AND
PER CENT 335
Origins of Decimal Notation-336 • Introducing Decimal
Fractions-337 • Introducing the Addition and Sub¬
traction of Decimal Fractions-339 • Multiplication of
Decimal Fractions-342 • Division of Decimal Fractions
-342 • Types of Decimal Fractions-344 • Expressing
a Decimal Fraction As a Common Fraction-345 •
Decimal Fractions and Scientific Notation-346 • Ratio
and Proportion-349 • Per Cent-350
Chapter 19
THE MATHEMATICS LABORATORY - AN INDIVIDUALIZED
APPROACH TO LEARNING 356
How To Begin a Math Laboratory-359 • Moral Be-
havior-364 • Materials and Their Use-365 • Learning
the Basic Addition and Multiplication Facts-366 •
Care of Materials-373 • Sample Assignments for
Children-378 • Exercises for Teachers-382
APPENDIX-Solutions to Exercises 383
INDEX 401
|
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| callnumber-sort | QA 3135.5 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SM 300 SM 670 |
| ctrlnum | (OCoLC)1733289 (DE-599)BVBBV003324153 |
| dewey-full | 372.7 |
| dewey-hundreds | 300 - Social sciences |
| dewey-ones | 372 - Primary education (Elementary education) |
| dewey-raw | 372.7 |
| dewey-search | 372.7 |
| dewey-sort | 3372.7 |
| dewey-tens | 370 - Education |
| discipline | Pädagogik Mathematik |
| edition | 3. ed. |
| format | Book |
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| spellingShingle | Copeland, Richard W. Mathematics and the elementary teacher Mathematik Mathematics Study and teaching (Elementary) |
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