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1 | (12) |
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1.1 Why Does Elementary Teachers' Knowledge Matter? |
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1 | (2) |
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1.2 Purpose of the Study and Research Questions |
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3 | (1) |
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4 | (3) |
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1.3.1 Theoretical Orientation |
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4 | (2) |
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1.3.2 Conceptual Framework |
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6 | (1) |
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7 | (2) |
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1.5 Overview of the Chapters |
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9 | (4) |
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10 | (3) |
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2 A Pedagogical Overview of Relevant Literature |
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13 | (20) |
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13 | (1) |
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14 | (1) |
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2.3 History of Research on Teachers' Knowledge for Teaching Mathematics |
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15 | (5) |
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2.3.1 Research on Teachers' Knowledge for Teaching Mathematics |
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16 | (2) |
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2.3.2 Historical Context of Research on Teachers' Knowledge for Teaching Mathematics in South Korea |
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18 | (2) |
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2.4 Research on Teachers' Knowledge for Teaching Mathematics |
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20 | (6) |
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2.4.1 Shulman's Research on Teachers' Knowledge for Teaching |
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21 | (2) |
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2.4.2 Fennema and Franke's Research on Teachers' Knowledge for Teaching Mathematics |
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23 | (1) |
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2.4.3 Hill, Ball, and Schilling's Research on Teachers' Knowledge for Teaching Mathematics |
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24 | (2) |
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2.4.4 Mishra and Koehler's New Category of Teachers' Knowledge for Teaching |
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26 | (1) |
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2.5 Interpretive Summary and Critical Analysis |
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26 | (7) |
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28 | (5) |
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3 Methodological Approaches |
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33 | (16) |
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33 | (1) |
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34 | (2) |
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3.2.1 Multiple Case Studies Approach |
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34 | (1) |
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3.2.2 Sociolinguistic Tradition and Grounded Theory |
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34 | (2) |
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36 | (2) |
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38 | (4) |
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42 | (2) |
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42 | (1) |
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43 | (1) |
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43 | (1) |
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43 | (1) |
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44 | (5) |
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47 | (2) |
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4 Context of Elementary Mathematics Education in South Korea |
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49 | (14) |
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49 | (1) |
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4.2 The National Curriculum in South Korea |
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50 | (3) |
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4.3 The National Curriculum and Education Fever in South Korea |
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53 | (3) |
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4.4 The National Mathematics Curriculum at the Elementary Level in South Korea |
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56 | (3) |
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59 | (4) |
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60 | (3) |
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5 Knowledge for Teaching Mathematics Category I: Mathematics Curriculum Knowledge |
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63 | (14) |
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63 | (1) |
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5.2 Mathematics Curriculum Knowledge in Mathematics Instruction |
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64 | (10) |
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5.2.1 Using MCK When Developing an Instructional Process |
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64 | (7) |
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5.2.2 Using MCK When Teaching the Lesson in a Classroom |
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71 | (1) |
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5.2.3 Using MCK When Assessing Students' Work |
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72 | (2) |
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74 | (3) |
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75 | (2) |
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6 Knowledge for Teaching Mathematics Category II: Mathematics Learner Knowledge |
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77 | (22) |
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77 | (1) |
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6.2 Mathematics Learner Knowledge |
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78 | (6) |
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6.3 MLK in Mathematics Instruction |
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84 | (11) |
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6.3.1 Using MLK When Developing an Instructional Process |
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84 | (6) |
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6.3.2 Using MLK When Teaching the Lesson in a Classroom |
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90 | (1) |
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6.3.3 Using MLK When Assessing Students' Work |
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91 | (4) |
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95 | (4) |
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96 | (3) |
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7 Knowledge for Teaching Mathematics Category III: Fundamental Mathematics Conceptual Knowledge |
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99 | (20) |
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99 | (1) |
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7.2 Fundamental Mathematics Conceptual Knowledge |
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100 | (2) |
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7.3 Fundamental Mathematics Conceptual Knowledge in Mathematics Instruction |
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102 | (13) |
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7.3.1 Using FMCK When Developing an Instructional Process |
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103 | (5) |
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7.3.2 Using FMCK When Teaching the Lesson in a Classroom |
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108 | (6) |
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7.3.3 Using FMCK When Assessing Students' Work |
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114 | (1) |
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115 | (4) |
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117 | (2) |
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8 Knowledge for Teaching Mathematics Categories IV and V: Mathematics Pedagogical Content Knowledge and Mathematics Pedagogical Procedural Knowledge |
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119 | (18) |
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119 | (1) |
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8.2 The Nature of Categories of Knowledge for Teaching Mathematics |
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120 | (2) |
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8.3 The Relationship Among Categories of Knowledge for Teaching Mathematics |
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122 | (6) |
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8.4 Mathematics Pedagogical Content Knowledge |
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128 | (3) |
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8.5 Mathematics Pedagogical Procedural Knowledge |
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131 | (2) |
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8.6 The Structure of South Korean Elementary Teachers' Knowledge for Teaching Mathematics |
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133 | (2) |
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135 | (2) |
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136 | (1) |
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9 Summary, Conclusions, and Implications |
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137 | (12) |
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137 | (1) |
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137 | (3) |
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9.3 Discussion of Findings |
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140 | (3) |
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9.3.1 Mathematics Curriculum Knowledge |
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140 | (1) |
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9.3.2 Mathematics Learner Knowledge |
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141 | (1) |
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9.3.3 Fundamental Mathematics Conceptual Knowledge |
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142 | (1) |
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9.3.4 Mathematics Pedagogical Content Knowledge and Mathematics Pedagogical Procedural Knowledge |
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142 | (1) |
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9.4 Conclusions and Implications |
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143 | (3) |
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9.5 Limitations of this Study |
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146 | (1) |
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9.6 Recommendations for Future Research |
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146 | (1) |
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147 | (2) |
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147 | (2) |
Index |
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149 | |