
Elementary Mathematics Education Theory
Description
Book Introduction
The authors hope that this book will serve as a guide for prospective elementary teachers and elementary school teachers in their research and practice of elementary mathematics education, and they have attempted to introduce the main topics of elementary mathematics education.
There may be various perspectives on elementary mathematics education, and setting its focus is another matter of opinion.
Depending on the authors' perspective, some topics are partially deepened and others are weakened.
Although there are still shortcomings and regrets throughout this book, I hope that by seeking readers' warm advice, this book will be of some help in creating a deeper and more innovative elementary mathematics education.
There may be various perspectives on elementary mathematics education, and setting its focus is another matter of opinion.
Depending on the authors' perspective, some topics are partially deepened and others are weakened.
Although there are still shortcomings and regrets throughout this book, I hope that by seeking readers' warm advice, this book will be of some help in creating a deeper and more innovative elementary mathematics education.
- You can preview some of the book's contents.
Preview
index
Part 1: The Flow of Mathematics Education
Chapter 1: Changes and Trends in Mathematics Education
01 Math Education Reform Movement 4
02 Modernization of Mathematics Education Movement 6
03 American Mathematics Curriculum Standards 11
Chapter 2: Changes in Elementary School Mathematics and Curriculum
01 1st Curriculum 25
02 Second Curriculum 27
03 3rd Curriculum 28
04 4th Curriculum 30
05 5th Curriculum 32
06 6th Curriculum 33
07 7th Curriculum 35
08 2007 Revised Curriculum 38
09 2009 Revised Curriculum 41
10 2015 Revised Curriculum 44
11 2022 Revised Curriculum 47
Part 2: Mathematics Education Foundations
Chapter 3: Behaviorism and Mathematics Learning
01 Pavlov's Classical Conditioning 61
02 Thorndike's Law of Effect 64
03 Skinner's Operant Conditioning 69
04 Ganet's Learning Hierarchy 77
Chapter 4: Mathematical Structure and Mathematical Learning
01 Gestalt Psychology and Wertheimer 83
02 Bruner's Psychology of Mathematical Learning 88
03 Dean's Math Concepts Learning 93
04 Skemp's Psychology of Mathematical Learning 99
Chapter 5: Mathematical Structure and Mathematical Learning
01 Piaget and Operational Constructivism 107
02 Vygotsky and Social Constructivism 118
Chapter 6: Realistic Mathematics Education
01 Mathematical Painting 130
02 Principles of Mathematical Teaching and Learning 135
03 Mathematical Painting Class 141
04 Van Hill's Geomatics Learning Level Theory 146
Part 3: Teaching and Learning of Elementary Mathematics
Chapter 7 Mathematical Problem Solving
01 Perspectives on Mathematical Problem Solving 160
02 Mathematical Problem Solving Presented in the Mathematics Curriculum 164
03 Mathematical Problem Solving Process 166
04 Mathematical Problem Solving Methods 170
05 Creating a Problem 179
Chapter 8 Mathematical Reasoning
01 The Importance of Mathematical Reasoning 186
02 Map of Mathematical Reasoning 197
Chapter 9 Mathematical Communication
01 The Importance of Communication 210
02 Types of Mathematical Communication 217
03 Map of Mathematical Communication 221
Chapter 10 Mathematical Connectivity
01 Emphasis on mathematical connectivity 245
02 Map of Mathematical Connectivity 254
Chapter 11: Mathematics Education and Teaching and Learning
01 Mathematical Aids in Mathematics Education 270
02 Use of Mathematical Tools 276
Chapter 12: Engineering Tools and Mathematics Teaching and Learning
01 Calculator 304
02 Algiomas 307
03 Smart! Math Exploration Team 313
04 Easy Statistics and Tonggrami 317
Chapter 13: Basic Mathematics Education
01 Basic Academic Skills 324
02 Mathematical Ability to Ensure Basic Academic Ability 332
03 Support for Basic Mathematical Ability 340
04 Teaching Basic Mathematical Ability 346
Chapter 14: Mathematics Gifted Education
01 Gifted Education 354
02 National Mathematics Gifted Education Program Standard 364
03 Selection of Mathematical Talents 373
04 Mathematics Gifted Education Program 376
Chapter 15: Mathematics and Assessment
01 Trends in Mathematics and Assessment 386
02 Understanding Mathematics and Assessment 398
03 Mathematics and Assessment Methods 406
04 Large-scale domestic and international mathematics assessment 416
Search 427
Chapter 1: Changes and Trends in Mathematics Education
01 Math Education Reform Movement 4
02 Modernization of Mathematics Education Movement 6
03 American Mathematics Curriculum Standards 11
Chapter 2: Changes in Elementary School Mathematics and Curriculum
01 1st Curriculum 25
02 Second Curriculum 27
03 3rd Curriculum 28
04 4th Curriculum 30
05 5th Curriculum 32
06 6th Curriculum 33
07 7th Curriculum 35
08 2007 Revised Curriculum 38
09 2009 Revised Curriculum 41
10 2015 Revised Curriculum 44
11 2022 Revised Curriculum 47
Part 2: Mathematics Education Foundations
Chapter 3: Behaviorism and Mathematics Learning
01 Pavlov's Classical Conditioning 61
02 Thorndike's Law of Effect 64
03 Skinner's Operant Conditioning 69
04 Ganet's Learning Hierarchy 77
Chapter 4: Mathematical Structure and Mathematical Learning
01 Gestalt Psychology and Wertheimer 83
02 Bruner's Psychology of Mathematical Learning 88
03 Dean's Math Concepts Learning 93
04 Skemp's Psychology of Mathematical Learning 99
Chapter 5: Mathematical Structure and Mathematical Learning
01 Piaget and Operational Constructivism 107
02 Vygotsky and Social Constructivism 118
Chapter 6: Realistic Mathematics Education
01 Mathematical Painting 130
02 Principles of Mathematical Teaching and Learning 135
03 Mathematical Painting Class 141
04 Van Hill's Geomatics Learning Level Theory 146
Part 3: Teaching and Learning of Elementary Mathematics
Chapter 7 Mathematical Problem Solving
01 Perspectives on Mathematical Problem Solving 160
02 Mathematical Problem Solving Presented in the Mathematics Curriculum 164
03 Mathematical Problem Solving Process 166
04 Mathematical Problem Solving Methods 170
05 Creating a Problem 179
Chapter 8 Mathematical Reasoning
01 The Importance of Mathematical Reasoning 186
02 Map of Mathematical Reasoning 197
Chapter 9 Mathematical Communication
01 The Importance of Communication 210
02 Types of Mathematical Communication 217
03 Map of Mathematical Communication 221
Chapter 10 Mathematical Connectivity
01 Emphasis on mathematical connectivity 245
02 Map of Mathematical Connectivity 254
Chapter 11: Mathematics Education and Teaching and Learning
01 Mathematical Aids in Mathematics Education 270
02 Use of Mathematical Tools 276
Chapter 12: Engineering Tools and Mathematics Teaching and Learning
01 Calculator 304
02 Algiomas 307
03 Smart! Math Exploration Team 313
04 Easy Statistics and Tonggrami 317
Chapter 13: Basic Mathematics Education
01 Basic Academic Skills 324
02 Mathematical Ability to Ensure Basic Academic Ability 332
03 Support for Basic Mathematical Ability 340
04 Teaching Basic Mathematical Ability 346
Chapter 14: Mathematics Gifted Education
01 Gifted Education 354
02 National Mathematics Gifted Education Program Standard 364
03 Selection of Mathematical Talents 373
04 Mathematics Gifted Education Program 376
Chapter 15: Mathematics and Assessment
01 Trends in Mathematics and Assessment 386
02 Understanding Mathematics and Assessment 398
03 Mathematics and Assessment Methods 406
04 Large-scale domestic and international mathematics assessment 416
Search 427
GOODS SPECIFICS
- Date of issue: February 21, 2025
- Page count, weight, size: 440 pages | 188*257*30mm
- ISBN13: 9791160737684
- ISBN10: 1160737681
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