sign in

Username Password

Forget Password ? ? Click Here

Don't Have An Account ? Create One

sign up

name Username Email Mobile Password

To contact us, you can contact us via the following mobile numbers by calling and WhatsApp


+989115682731 Connect To WhatsApp
+989917784643 Connect To WhatsApp
EnglishEnglish SpanishSpanish PortuguesePortuguese FrenchFrench GermanGerman ChineseChinese

Unlimited Access

For Registered Users

Secure Payment

100% Secure Payment

Easy Returns

10 Days Returns

24/7 Support

Call Us Anytime

Learning mathematics in elementary and middle school.: a learner-centred approach 2010;2011 book

Learning mathematics in elementary and middle school.: a learner-centred approach

Details Of The Book

Learning mathematics in elementary and middle school.: a learner-centred approach

edition: 5th ed. / 
Authors: , , ,   
serie:  
ISBN : 0132420996, 9780132420990 
publisher: Allyn and Bacon, Pearson Education [distributor] 
publish year: 2010;2011 
pages: 481 
language: English 
ebook format : PDF (It will be converted to PDF, EPUB OR AZW3 if requested by the user) 
file size: 16 MB 

price : $13.5 18 With 25% OFF



Your Rating For This Book (Minimum 1 And Maximum 5):

User Ratings For This Book:       


You can Download Learning mathematics in elementary and middle school.: a learner-centred approach Book After Make Payment, According to the customer's request, this book can be converted into PDF, EPUB, AZW3 and DJVU formats.


Abstract Of The Book



Table Of Contents

Cover......Page 1
Contents......Page 6
CHAPTER 1 Teaching Mathematics: Influences and Directions......Page 24
The Diversity of Our World: Learner Influences......Page 25
Curriculum Guided by Standards......Page 27
Communication......Page 31
Reasoning and Proof......Page 32
Connections......Page 33
Equity......Page 34
Parent Involvement......Page 35
Conclusion......Page 36
Resources for Teachers......Page 37
CONNECTING WITH THE STANDARDS......Page 38
The Cognitive/Constructivist Approach......Page 40
Develop Understanding......Page 43
Encourage Communication......Page 44
Take Time to Motivate Children......Page 46
Provide Opportunities for Practice......Page 47
Understanding Individual Needs......Page 49
Preteaching Activities......Page 51
Sample Lesson: Solving Problems Involving Multidigit Addition......Page 55
The Process of Teaching......Page 57
Postteaching Activities......Page 58
The Activities......Page 59
In Practice......Page 60
Resources for Teachers......Page 61
CONNECTING WITH THE STANDARDS......Page 62
Problem Solving: An Integral Part of Mathematics Instruction......Page 63
Types of Problems......Page 64
Understanding the Problem......Page 65
Reflecting on the Problem......Page 66
Dramatizing or Modeling the Situation and Solution Process......Page 68
Drawing a Picture or Diagram......Page 69
Solving a Simpler Problem......Page 70
Working Backward......Page 72
Changing Your Point of View......Page 73
Selecting Appropriate Tasks and Materials......Page 74
Identifying Sources of Problems......Page 75
Clarifying the Teacher’s Role......Page 76
Changing the Difficulty of Problems......Page 78
Consider Children’s Preferences......Page 80
In Practice......Page 81
Resources for Teachers......Page 82
CONNECTING WITH THE STANDARDS......Page 83
What Is Assessment?......Page 84
Phases of Assessment......Page 85
Achievement Tests......Page 86
Examining Children’s Reasoning......Page 87
Assessing Attitudes toward Mathematics......Page 96
In Practice......Page 97
Resources for Teachers......Page 98
CONNECTING WITH THE STANDARDS......Page 99
ASSESSING MATHEMATICS UNDERSTANDING......Page 100
Prenumber Activities......Page 102
Examining Children’s Reasoning......Page 103
Ordinal Use of Numbers......Page 106
Rational Counting......Page 107
Counting All, Counting On......Page 108
Skip Counting......Page 109
Concrete Models......Page 110
Symbolic Representation of Numbers......Page 112
Number Relationships......Page 113
One Greater Than, One Less Than......Page 115
Part-Part-Whole Relationships......Page 116
Bidirectional Relationship of an Equation......Page 117
Conclusion......Page 119
Sample Lesson: A Lesson on What Is More?......Page 120
Resources for Teachers......Page 121
CONNECTING WITH THE STANDARDS......Page 122
ASSESSING MATHEMATICS UNDERSTANDING......Page 123
Positional or Place Value......Page 126
What Research Says about Place-Value Learning......Page 127
Grouping......Page 128
Communicating Mathematics......Page 129
Types of Place-Value Materials......Page 130
Developing Understanding of Two-Digit Numbers......Page 131
Introducing Base-Ten Blocks......Page 133
Introducing Nonproportional Materials......Page 134
Three-Digit Numbers......Page 137
Number Meanings: Oral Expressions......Page 138
Using Hundreds Charts......Page 139
Thinking and Writing about Numbers......Page 140
Examining Children’s Reasoning: Understanding Place Value......Page 141
Magnitude of Numbers......Page 142
Expanded Notation......Page 143
The Computer Rule for Rounding......Page 144
Consolidating Number Skills......Page 145
Conclusion......Page 146
Sample Lesson: A Lesson on Place Value: Making Groups of Ten......Page 147
Resources for Teachers......Page 148
CONNECTING WITH THE STANDARDS......Page 149
ASSESSING MATHEMATICS UNDERSTANDING......Page 150
A Model for Beginning with Word Problems......Page 152
Encoding and Decoding Word Problems......Page 153
Examining Children’s Reasoning: Linking to "Amazing Equations"......Page 154
Using Models to Solve Addition and Subtraction Problems......Page 157
Writing Number Sentences for Addition and Subtraction......Page 160
Making the Transition from Adding to Multiplying......Page 161
Introducing Children to Division......Page 162
Types of Division Word Problems......Page 164
Using Models to Solve Multiplication and Division Problems......Page 166
Another Word about Notation and Children’s Language......Page 168
Conclusion......Page 169
In Practice......Page 170
Resources for Teachers......Page 171
ASSESSING MATHEMATICS UNDERSTANDING......Page 172
What Are Basic Facts?......Page 175
Step 3: Using Consolidating Activities for Drill and Practice......Page 176
Thinking Strategies for Addition and Subtraction......Page 177
Mathematical Properties of Addition and Subtraction......Page 180
Fact Families for Addition and Subtraction......Page 181
Thinking Strategies for Multiplication and Division......Page 182
Mathematical Properties of Multiplication......Page 185
Consolidating Activities for Drill and Practice......Page 188
Using Games......Page 189
Conclusion......Page 190
Sample Lesson: A Lesson on Understanding the Commutative Property......Page 191
Resources for Teachers......Page 192
CONNECTING WITH THE STANDARDS......Page 193
ASSESSING MATHEMATICS UNDERSTANDING......Page 194
What Is Computation?......Page 196
Estimation......Page 197
Paper-and-Pencil Computation......Page 198
Prerequisites......Page 199
Important Considerations When Teaching Computational Procedures......Page 200
Posing Story Problems Set in Real-World Contexts......Page 201
Using Estimation and Mental Computation......Page 202
Developing Bridging Algorithms to Connect Problems, Models, Estimation, and Symbols......Page 204
Examining Student Work......Page 205
Using Models for Computation......Page 206
Using Estimation and Mental Computation......Page 207
Developing the Traditional Algorithm......Page 208
Examining Children’s Reasoning......Page 209
Developing Other Algorithms......Page 210
Examining Student Work......Page 211
Using Models for Computation......Page 212
Developing Bridging Algorithms to Connect Problems, Models, Estimation, and Symbols......Page 213
Developing the Traditional Algorithm......Page 215
Examining Children’s Reasoning......Page 216
Determining the Reasonableness of Solutions......Page 217
Using Models for Computation......Page 218
Using Estimation and Mental Computation......Page 219
Developing the Traditional Algorithm......Page 220
Examining Student Work......Page 223
Determining the Reasonableness of Solutions......Page 224
Using Games......Page 225
Using Computer Software......Page 226
Conclusion......Page 227
Sample Lesson: A Lesson on Estimating Quotients......Page 228
Resources for Teachers......Page 229
CONNECTING WITH THE STANDARDS......Page 230
ASSESSING MATHEMATICS UNDERSTANDING......Page 231
What Do Children Know about Fractions?......Page 233
Understanding Sharing Situations......Page 235
Number Sense with Fractions......Page 236
Different Interpretations of Fractions......Page 238
Fraction Names......Page 245
Examining Children’s Reasoning: Meaning of the Unit......Page 246
Comparing and Ordering Fractions......Page 248
Relative Size of Fractions......Page 249
Improper Fractions and Mixed Numbers......Page 250
Dealing with Equivalent Fractions......Page 251
Renaming and Simplifying Fractions......Page 252
Conclusion......Page 254
Sample Lesson: A Lesson on Comparing Fractions......Page 255
Resources For Teachers......Page 256
CONNECTING WITH THE STANDARDS......Page 257
ASSESSING MATHEMATICS UNDERSTANDING......Page 258
What Do Children Know about Fractions?......Page 261
Developmental Activities......Page 262
Properties......Page 263
Developing Addition of Fractions......Page 264
Developing Subtraction of Fractions......Page 268
General Considerations......Page 269
Developing Multiplication of Fractions......Page 270
Developing Division of Fractions......Page 275
Considering Different Cases of Division of Fractions......Page 276
Conclusion......Page 279
Sample Lesson: A Lesson on Estimating Fraction Sums and Differences......Page 280
Resources for Teachers......Page 281
CONNECTING WITH THE STANDARDS......Page 282
ASSESSING MATHEMATICS UNDERSTANDING......Page 283
Instructional Strategies for Teaching Decimals......Page 285
Connections to Familiar Concepts......Page 287
Reading and Writing Decimals......Page 289
Base-Ten Blocks......Page 290
Decimal Squares......Page 291
Number Line......Page 292
Equivalent Decimals......Page 293
Ordering and Comparing Decimals......Page 294
Addition and Subtraction......Page 295
Multiplication......Page 296
Division......Page 300
Writing Fractions as Decimals......Page 301
Conclusion......Page 302
Sample Lesson: A Lesson on Comparing Decimals......Page 303
Resources for Teachers......Page 304
CONNECTING WITH THE STANDARDS......Page 305
ASSESSING MATHEMATICS UNDERSTANDING......Page 306
Ratio and Rational Number......Page 308
Proportional Reasoning......Page 309
Equal Ratios......Page 310
Cross Products......Page 311
Scale Drawings......Page 312
Number Sense......Page 313
Fraction and Decimal Equivalents......Page 314
Finding the Percent of a Number......Page 315
Other Procedures for Solving Percent Problems......Page 316
Everyday-Life Problem Settings......Page 317
Sample Lesson: A Lesson on Understanding Proportions......Page 318
Resources for Teachers......Page 319
CONNECTING WITH THE STANDARDS......Page 320
ASSESSING MATHEMATICS UNDERSTANDING......Page 321
Why Teach Geometry?......Page 324
The van Hiele Levels of Geometric Thought......Page 325
Comments on the Levels of Thought......Page 327
Learning about Topology......Page 328
Mazes and Networks......Page 329
Three-Dimensional Shapes......Page 330
Constructing Three-Dimensional Shapes......Page 333
Polygons......Page 336
Symmetry......Page 339
Congruence and Similarity......Page 341
Rigid Transformations......Page 342
Learning about Tessellations......Page 344
Learning about Fractals......Page 345
Tangram Puzzles......Page 346
Describing Figures......Page 348
Dissection Motion Operations......Page 349
Conclusion......Page 350
Sample Lesson: A Lesson on Solid Geometry......Page 351
Resources for Teachers......Page 352
CONNECTING WITH THE STANDARDS......Page 354
ASSESSING MATHEMATICS UNDERSTANDING......Page 355
Children’s Understanding of Measurement......Page 359
Instructional Sequence......Page 361
Length......Page 365
Area......Page 370
Volume......Page 373
Capacity......Page 375
Mass......Page 376
Time......Page 378
Temperature......Page 380
Angle......Page 381
Sample Lesson: A Lesson on Understanding Perimeter......Page 383
Links to the Internet......Page 384
Resources for Teachers......Page 385
CONNECTING WITH THE STANDARDS......Page 386
ASSESSING MATHEMATICS UNDERSTANDING......Page 387
What Do Children Know about Data Analysis and Probability?......Page 391
Early Experiences......Page 394
Coordinate Graphing......Page 400
Histograms, Line Plots, and Stem-and-Leaf Plots......Page 401
Central Tendency......Page 405
Variation......Page 408
Overview......Page 410
General Teaching Considerations......Page 411
Conclusion......Page 416
Sample Lesson: A Lesson on Understanding Probability......Page 417
Resources for Teachers......Page 418
ASSESSING MATHEMATICS UNDERSTANDING......Page 419
What Is Algebra?......Page 423
Introducing Integers......Page 425
Adding Integers......Page 426
Subtracting Integers......Page 427
Dividing Integers......Page 430
Repeating Patterns......Page 436
Growing Patterns......Page 437
Variables......Page 438
Misconceptions about Variables......Page 439
Understanding Expressions......Page 440
Simplifying Algebraic Expressions......Page 441
Understanding Algebraic Properties......Page 442
Understanding the Order of Operations......Page 443
Early Equations Development......Page 444
Modeling Algebraic Equations......Page 445
Real-World Settings for Algebraic Equations......Page 447
What Is a Function?......Page 448
Developing Function Concepts......Page 449
Function Machines and Tables......Page 451
Graphing Functions......Page 452
Formulas......Page 453
Instruction and Assessment Activities......Page 454
Conclusion......Page 455
Sample Lesson: A Lesson on Equality......Page 456
Resources for Teachers......Page 457
References......Page 458
A......Page 466
B......Page 467
C......Page 468
E......Page 470
G......Page 471
L......Page 472
M......Page 473
N......Page 474
P......Page 475
R......Page 477
S......Page 478
U......Page 480
Z......Page 481


First 10 Pages Of the book


Comments Of The Book