TABLE OF CONTENTS
INTRODUCTION.......................................................................................................... I
TABLE OF CONTENTS............................................................................................ II-X
CHAPTER ONE
GREETINGS............................................................................................................... 1
PERSONAL INTRODUCTION & STRATEGIES ........................................................... 1-2
ENCOURAGING CONVERSATION .............................................................................. 2
APPEALING TO THE SPEAKER ................................................................................. 3
SPEAKING OUT IN CLASS....................................................................................... 3-4
CLOSING CONVERSATION ........................................................................................ 4
Exercise 1 &2................................................................................................. 5
CHAPTER TWO
MATHEMATIC EDUCATION......................................................................................... 6
1. Philosophy of Mathematics Education.......................................................... 6
2. The Nature of Mathematics and School Mathematics..................................... 6
3. The Value of Mathematics......................................................................... 6-7
4. The Nature of Students................................................................................ 7
5. The Aim of Mathematics Education.............................................................. 7
CHAPTER THREE
GRAMMAR ............................................................................................................... 8
Noun ............................................................................................................. 8
1. Common Nouns .......................................................................................... 8
2. Proper Nouns ............................................................................................. 9
Exercise 1 & 2 .............................................................................................. 10
MATH FOCUS .......................................................................................................... 10
How to say Numbers................................................................................ 11-12
Exercise 1 & 2.............................................................................................. 12
READING ................................................................................................................ 13
Place Value.................................................................................................. 13
Exercise....................................................................................................... 14
SPEAKING .............................................................................................................. 15
Talking About Numbers................................................................................. 15
Exercise....................................................................................................... 15
CHAPTER FOUR
GRAMMAR ............................................................................................................... 16
Pronoun....................................................................................................... 16
1... Subject Pronouns .................................................................................. 16
2... Object Pronouns................................................................................ 16-17
3... Possessive Adjective ........................................................................ 17-18
4... Possessive Pronouns............................................................................. 18
5... Reflexive Pronouns............................................................................ 18-19
6. . Demonstrative Pronouns ........................................................................ 19
7... Interrogative Pronouns............................................................................ 20
8... Indefinite Pronouns................................................................................. 21
Exercise 1.................................................................................................... 21
Exercise 2............................................................................................... 21-22
Exercise 3 ................................................................................................... 22
Exercise 4.................................................................................................... 22
Exercise 5.................................................................................................... 22
Exercise 6.................................................................................................... 22
MATH FOCUS........................................................................................................... 23
Square Symbols and Perfect Squares .......................................................... 23
Exercise ...................................................................................................... 24
READING................................................................................................................. 25
Squares and Square Roots........................................................................... 25
Exercise ...................................................................................................... 26 SPEAKING............................................................................................................... 27
Talking About Squares and Square Roots...................................................... 27
Exercise....................................................................................................... 27
CHAPTER FIVE
GRAMMAR............................................................................................................... 28
Adjectives.................................................................................................... 28
1. Kinds of Adjectives................................................................................... 28
2. The Order of Adjectives........................................................................ 28-29
3. Adjective Endings................................................................................ 29-30
4. Describing What Something Is Made Of..................................................... 30
5. Describing What Something Is Like............................................................ 30
6. The Comparison of Adjectives.............................................................. 30-32
7. Adjective Phrases..................................................................................... 32
Exercise ...................................................................................................... 32
. Exercise 2............................................................................................... 32-33
Exercise 3.................................................................................................... 33
Exercise 4.................................................................................................... 33
Exercise 5.................................................................................................... 33
MATH FOCUS........................................................................................................... 34
How to Say Fraction...................................................................................... 34
1. Multiplying Fractions.................................................................................. 34
2. Reciprocals.............................................................................................. 35
3. Dividing Fractions .................................................................................... 35
4. Adding and Subtracting Fractions with Like Denominators........................... 35
Exercise....................................................................................................... 35
READING................................................................................................................. 36
Fractions.................................................................................................. 36-37
Exercise....................................................................................................... 37
SPEAKING............................................................................................................... 38
Using Fraction for Daily Life........................................................................... 38
Exercise....................................................................................................... 38
CHAPTER SIX
GRAMMAR............................................................................................................... 39
Determiners.................................................................................................. 39
1. The Articles.............................................................................................. 39
2. Using Nouns without Articles...................................................................... 39
3. Demonstrative Determiners........................................................................ 40
4. Quantifying Determiners........................................................................ 40-41
5. Interrogative Determiners........................................................................... 41
6. Possessive Determiners........................................................................... 41
7. Numbers.................................................................................................. 41
8. Using Determiners Together...................................................................... 42
Exercise 1 & 2.............................................................................................. 42
MATH FOCUS........................................................................................................... 43
Decimal Numbers......................................................................................... 43
Exercise....................................................................................................... 43
READING................................................................................................................. 44
Decimals...................................................................................................... 44
Exercise....................................................................................................... 45
SPEAKING............................................................................................................... 46
Using Decimal for Prize................................................................................. 46
Exercise....................................................................................................... 46
CHAPTER SEVEN
Mathematic Glossaries.............................................................................. 47-53
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