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vi | |
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vii | |
Vignettes |
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viii | |
Foreword |
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ix | |
Preface |
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xi | |
Purpose |
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xiii | |
Audience |
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xiii | |
Organization of the Document |
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xiv | |
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1 | (4) |
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Assumptions about Mathematics Teacher Preparation |
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1 | (3) |
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A Well-Prepared Beginning Teacher of Mathematics |
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4 | (1) |
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Chapter 2 Candidate Knowledge, Skills, And Dispositions |
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5 | (20) |
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Organization of This Chapter |
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5 | (2) |
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What Should Well-Prepared Beginning Teachers of Mathematics Know and Be Able to Do, and What Dispositions Should They Develop? |
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7 | (17) |
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Standard C.1 Mathematics Concepts, Practices, and Curriculum |
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8 | (4) |
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Standard C.2 Pedagogical Knowledge and Practices for Teaching Mathematics |
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12 | (6) |
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Standard C.3 Students as Learners of Mathematics |
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18 | (3) |
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Standard C.4 Social Contexts of Mathematics Teaching and Learning |
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21 | (3) |
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24 | (1) |
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Chapter 3 Program Characteristics To Develop Candidate Knowledge, Skills, And Dispositions |
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25 | (20) |
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Organization of this Chapter |
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25 | (18) |
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Standard P.1 Partnerships |
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27 | (2) |
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Standard P.2 Opportunities to Learn Mathematics |
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29 | (4) |
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Standard P.3 Opportunities to Learn to Teach Mathematics |
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33 | (4) |
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Standard P.4 Opportunities to Learn in Clinical Settings |
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37 | (4) |
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Standard P.5 Recruitment and Retention of Teacher Candidates |
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41 | (2) |
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43 | (2) |
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Chapter 4 Elaborations Of The Standards For The Preparation Of Early Childhood Teachers Of Mathematics |
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45 | (28) |
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Part 1 Elaborations of the Knowledge, Skills, and Dispositions Needed by Well-Prepared Beginning Early Childhood Teachers of Mathematics |
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48 | (20) |
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EC.1 Deep Understanding of Early Mathematics |
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48 | (4) |
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EC.2 Positive Attitudes Toward Mathematics and Productive Dispositions Toward Teaching |
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52 | (2) |
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EC.3 Mathematics Learning Trajectories: Paths for Excellence and Equity |
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54 | (4) |
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EC.4 Tools, Tasks, and Talk as Essential Pedagogies for Meaningful Mathematics |
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58 | (3) |
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EC.5 Understanding Young Children's Mathematical Thinking Informs Teaching |
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61 | (2) |
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EC.6 Collaboration With Families Enhances Children's Mathematical Development |
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63 | (1) |
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EC.7 Seeing Mathematics Through Children's Eyes |
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64 | (2) |
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EC.8 Creating Positive Early Childhood Learning Environments |
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66 | (2) |
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Part 2 Elaborations of the Characteristics Needed by Effective Programs Preparing Early Childhood Teachers of Mathematics |
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68 | (4) |
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EC.9 Mathematics Content Preparation of Early Childhood Teachers |
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69 | (1) |
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EC.10 Mathematics Methods Experiences for Early Childhood Teachers |
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70 | (1) |
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EC.11 Clinical Experiences in Mathematics for Early Childhood Teachers |
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71 | (1) |
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72 | (1) |
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Chapter 5 Elaborations Of The Standards For The Preparation Of Upper Elementary Grades Teachers Of Mathematics |
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73 | (20) |
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Part 1 Elaborations of the Knowledge, Skills, and Dispositions Needed by Well-Prepared Beginning Teachers of Mathematics in the Upper Elementary Grades |
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75 | (14) |
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UE.1 Mathematics Concepts and Connections to Mathematical Practices |
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75 | (7) |
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UE.2 Pedagogical Knowledge and Teaching Practices |
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82 | (2) |
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UE.3 Tools to Build Student Understanding |
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84 | (1) |
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UE.4 Assessment to Promote Learning and Improve Instruction |
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85 | (1) |
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UE.5 Students' Sense Making |
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86 | (1) |
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UE.6 Ethical Advocates for Students |
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87 | (2) |
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Part 2 Elaborations of the Characteristics Needed by Effective Programs Preparing Mathematics Teachers for Upper Elementary Grades |
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89 | (3) |
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UE.7 Mathematical Content Preparation of Teachers of Mathematics in the Upper Elementary Grades |
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89 | (1) |
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UE.8 Mathematics Methods Coursework for Upper Elementary Teachers of Mathematics |
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90 | (1) |
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UE.9 Clinical Experiences for Upper Elementary Teachers of Mathematics |
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91 | (1) |
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92 | (1) |
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Chapter 6 Elaborations Of The Standards For The Preparation Of Middle Level Teachers Of Mathematics |
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93 | (24) |
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Part 1 Elaborations of the Knowledge, Skills, and Dispositions Needed by Well-Prepared Beginning Teachers of Mathematics at the Middle Level |
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95 | (15) |
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ML.1 Essential Understandings of Mathematics Concepts and Practices |
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95 | (7) |
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ML.2 Content Progressions for Middle Level Learners |
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102 | (1) |
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ML.3 Strategies to Support Early Adolescents |
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103 | (1) |
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ML.4 Meaningful and Interdisciplinary Contexts |
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104 | (2) |
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ML.5 Mathematical Practices of Middle Level Learners |
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106 | (1) |
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ML.6 Respond to the Needs of Early Adolescents |
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107 | (2) |
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ML.7 Equitable Structures and Systems in Middle Schools |
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109 | (1) |
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Part 2 Elaborations of the Characteristics Needed by Effective Programs Preparing Middle level Teachers |
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110 | (6) |
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ML.8 Mathematics Content Preparation for Teachers of Mathematics at the Middle Level |
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111 | (2) |
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ML.9 Pedagogical Preparation for Middle Level Teachers of Mathematics |
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113 | (1) |
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ML.10 Clinical Experiences in Middle Level Settings |
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114 | (2) |
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116 | (1) |
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Chapter 7 Elaborations Of The Standards For The Preparation Of High School Teachers Of Mathematics |
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117 | (30) |
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Part 1 Elaborations of the Knowledge, Skills, and Dispositions Needed by Well-Prepared Beginning High School Mathematics Teachers |
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120 | (13) |
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HS.1 Essential Understandings of Mathematics Concepts and Practices in High School Mathematics |
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122 | (3) |
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HS.2 Use of Tools and Technology to Teach High School Mathematics |
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125 | (2) |
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HS.3 Supporting Each and Every Student's Opportunity to Learn Mathematics |
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127 | (3) |
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HS.4 Cultivating Positive Mathematical Identities in Each and Every Student |
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130 | (3) |
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Part 2 Elaborations of the Characteristics Needed by Effective Programs Preparing High School Mathematics Teachers |
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133 | (11) |
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HS.5 Effective Programs to Support Preparation of Teachers of Mathematics at the High School Level |
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133 | (1) |
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HS.6 Partnerships to Support Preparation of Teachers of Mathematics at the High School Level |
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134 | (2) |
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HS.7 Mathematical Content Preparation of Teachers of Mathematics at the High School Level |
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136 | (2) |
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HS.8 Ethics and Values for Teaching Mathematics at the High School Level |
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138 | (3) |
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HS.9 Mathematics Methods Experiences for Teachers of Mathematics at the High School Level |
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141 | (1) |
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HS.10 Clinical Experiences for Teachers of Mathematics at the High School Level |
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142 | (2) |
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144 | (1) |
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Potential Pathways for Preparing High School Mathematics Teachers |
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145 | (2) |
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Chapter 8 Assessing Mathematics Teacher Preparation |
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147 | (16) |
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Features of Effective Assessments Used in Mathematics Teacher Preparation |
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151 | (5) |
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Recommendation AF.1 Focus on Mathematics Teaching in Assessments |
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151 | (1) |
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Recommendation AF.2 Promote Equity and Access in Assessments |
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152 | (1) |
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Recommendation AF.3 Embody Openness in Assessments |
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152 | (1) |
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Recommendation AF.4 Support Valid Inferences and Action Based on Assessments |
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152 | (3) |
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Recommendation AF.5 Embody Coherence and Sustainability in Assessments |
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155 | (1) |
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Assessing Quality of Mathematics Teacher Candidates |
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156 | (2) |
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Recommendation AC.1 Assessment of Mathematical Knowledge Relevant to Teaching |
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156 | (1) |
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Recommendation AC.2 Assessment of Mathematics Teaching Practice |
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157 | (1) |
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Recommendation AC.3 Assessment of Dispositions |
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157 | (1) |
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Assessing Quality of Mathematics Teacher Preparation Programs |
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158 | (4) |
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Recommendation AP.1 Assessment of Stakeholder Engagement |
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158 | (1) |
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Recommendation AP.2 Assessment of Program Curriculum and Instruction |
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159 | (1) |
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Recommendation AP.3 Assessment of Effective Clinical Experiences |
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159 | (1) |
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Recommendation AP.4 Assessment of Recruitment and Retention |
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160 | (2) |
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162 | (1) |
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Chapter 9 Enacting Effective Preparation Of Teachers Of Mathematics |
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163 | (6) |
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Improving the Preparation of Teachers of Mathematics |
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163 | (1) |
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Process for Supporting Improvement of Mathematics Teacher Preparation |
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164 | (2) |
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166 | (1) |
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167 | (2) |
References |
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169 | |