Part II Resources Organized by Content viiNCATE Standards ixDesign of Field Experience Guide x PART I Menu of Field Experiences 1 Field Experience Cover Sheet 2 Field Experience Activity Log 3CHAPTER 1 Professional and Pedagogical Knowledge: Classroom Environment 4 Standards Alignment 4 * Rubric 5 1.1 Observation: Physical Environment 6 1.2 Observation: NCTM Professional Teaching Standards 7 1.3 Teacher Interview: An Environment for Learning 8 1.4 Student Interview: Attitudes and Environment 9 1.5 Teaching: Establishing Your Environment 10 1.6 Project: Assessing School Environment 12CHAPTER 2 Professional and Pedagogical Knowledge: Planning 13 Standards Alignment 13 * Rubric 14 2.1 Teacher Interview: Selecting Goals and Objectives 15 2.2 Observation: Evidence of Higher-Level Thinking 16 2.3 Teaching: Mathematics Task Analysis 17 2.4 Teaching: Worthwhile Task Evaluation 18 2.5 Teaching: Planning a Problem-Based Lesson 19 2.6 Teaching: Using Children's Literature in Math Teaching 21CHAPTER 3 Content Knowledge 23 Standards Alignment 23 * Rubric 25 3.1 Observation: Conceptual and Procedural Knowledge 26 3.2 Observation: Mathematical Proficiency 27 3.3 Teacher Interview: Selecting a Worthwhile Task 28 3.4 Student Interview: Conceptual and Procedural Knowledge 29 3.5 Teaching: Create a Web of Ideas 31 3.6 Teaching: Design (and Teach) a Lesson 32 3.7 Reflection: Student Understanding 33CHAPTER 4 Pedagogical Content Knowledge: Instruction 34 Standards Alignment 34 * Rubric 35 4.1 Observation: The Process Standards 36 4.2 Observation: Classroom Discourse 38 4.3 Observation: Cooperative Groups 39 4.4 Teacher Interview: Teaching for Understanding 41 4.5 Student Interview: Learning Mathematics Developmentally 42 4.6 Teaching: Teaching a Small Group 43 4.7 Teaching: Teaching a Standards-Based Lesson 44 4.8 Reflection: Reflecting on Teaching and Learning 45 4.9 Feedback on Teaching 46CHAPTER 5 Pedagogical Content Knowledge: Technology 47 Standards Alignment 47 * Rubric 48 5.1 Project: Learning Online 49 5.2 Project: Evaluating Mathematics Software or Websites 50 5.3 Teaching: Using the Calculator to Support Learning 51 5.4 Teaching: Develop a Calculator Learning Center 52 5.5 Reflection: Reactions to Learning with Technology 54CHAPTER 6 Dispositions 55 Standards Alignment 55 * Rubric 56 6.1 Teacher Interview: Communicating with Parents 57 6.2 Parent Interview: What Is Important to You? 59 6.3 Teaching: Prepare a Family Math Take-Home Activity 60 6.4 Reflection: Professional Growth 61CHAPTER 7 Student Learning 62 Standards Alignment 62 * Rubric 63 7.1 Classroom Observation: Assessing to Inform Instruction 64 7.2 Diagnostic Interview: Assessing for Understanding 65 7.3 Student Observation and Interview: Learning Through Problems 69 7.4 Teaching: Assessing Student Understanding with Rubrics 70 7.5 Teaching: Creating and Using Rubrics 71 7.6 Teaching: Using Anecdotal Notes to Assess Students 72 7.7 Teaching: Using a Checklist to Assess Students 74CHAPTER 8 Diversity 76 Standards Alignment 76 * Rubric 77 8.1 Observation: One Child's Experience 78 8.2 Teacher Interview: Student Diversity 80 8.3 Teacher Interview: Environment and Students 81 8.4 Teaching: Lesson Adaptations 82 8.5 Teaching: Sheltering a Lesson for English Language Learners 84 8.6 Reflection: Meeting the Needs of Individuals 86PART II Resources for Teaching 89 CHAPTER 9 Expanded Lessons 91 9.1 Exploring Subtraction Strategies 93 9.2 Close, Far, and in Between 95 9.3 Two More Than/ Two Less Than 97 9.4 Learning about Division 99 9.5 Estimating Groups of Tens and Ones 101 9.6 Dot-Paper Equivalences 103 9.7 Multiplication of Fractions 105 9.8 Friendly Fractions to Decimals 107 9.9 Division of Fractions Using the Partition Concept 109 9.10 How Close Is Close? 111 9.11 Comparing Ratios 113 9.12 One Up and One Down 115iv 9.13 Predict How Many 117 9.14 Create a Journey Story 119 9.15 Crooked Paths 121 9.16 Fixed Areas 123 9.17 Shape Sorts 125 9.18 Diagonal Strips 127 9.19 Triangle Midsegments 129 9.20 Using Data to Answer a Question 131 9.21 Create a Game 133 9.22 Bar Graphs to Circle Graphs 135 9.23 Testing Bag Designs 137 9.24 Toying with Measures 139CHAPTER 10 Mathematics Activities 141 10.1 The Find! 143 10.2 Odd or Even? 145 10.3 Factor Quest 147 10.4 Interference 149 10.5 Target Number 151 10.6 Fraction Find 153 10.7 Illustrating Ratios 155 10.8 Building Bridges 157 10.9 Compensation Decision 159 10.10 Solving the Mystery 161 10.11 Cover All 163CHAPTER 11 Balanced Assessment Activities 165 11.1 Magic Age Rings 167 11.2 Grocery Store 171 11.3 Bolts and Nuts! 174PART III Blackline Masters 179 Suggestions for Use and Construction of Materials 179 More-or-Less Cards 181 Number Cards 182 Dot Cards 3-8 183 Five-Frame 189 Ten-Frame 190 Double Ten-Frame 191 10 x 10 Multiplication Array 192 Missing-Part Worksheet 193 Base-Ten Materials Grid 194 Little Ten-Frames 15-16 195 Place-Value Mat (with Ten-Frames) 197 Base-Ten Grid Paper 198 Addition and Subtraction Recording Charts 199 Multiplication and Division Recording Charts 200 Blank Hundreds Chart (10 x 10 Square) 201 Hundreds Chart 202 Four Small Hundreds Charts 203 Circular Fraction Pieces 24-26 204 10 x 10 Grids 207 Rational Number Wheel 208 10,000 Grid 209 Look-Alike Rectangles 210 Look-Alike Rectangles Recording Sheet 211 Degrees and Wedges 212 Clock Faces 213 2-cm Square Grid 214 1-cm Square Grid 215 0.5-cm Square Grid 216 1-cm Square Dot Grid 217 2-cm Isometric Grid 218 1-cm Isometric Dot Grid 219 1-cm Square/Diagonal Grid 220 Assorted Shapes 42-47 221 Coordinate Grid 228 Geoboard Pattern 229 Geoboard Recording Sheets 230 Tangrams and Mosaic Puzzle 231 Motion Man 54-53 232 Property Lists for Quadrilaterals 54-57 234 Assorted Triangles 238 Woozle Cards 239 Design a Bag 240 What Are the Chances? 241 at Collections 242 2 More Than 243 2 Less Than 244 How Long? 245 Fraction Names 246 Solving Problems Involving Fractions 247 It's a Matter of Rates 248 Predict How Many 69-70 249 Create a Journey Story 251 Crooked Paths 252 Rectangles Made with 36 Tiles 253 Fixed Area Recording Sheet 254 Properties of Quadrilateral Diagonals 255 Toy Purchases 256 Toying with Measures 257