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# Field Experience Guide for Elementary and Middle School Mathematics : Teaching Developmentally

**by**VAN DE WALLE & WILLIAMS

7th

### 9780205583164

0205583164

Nonspecific Binding

1/1/2010

PEARSON

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## Summary

TheField Experience Guide,a supplement toElementary and Middle School Mathematics,is for observation, practicum, and student teaching experiences at the elementary and middle school levels. The guidebook contains three parts: Part I provides tasks for preservice teachers to do in the field; Part II provides three types of activities: Expanded Lessons, Mathematics Activities, and Balanced Assessment Tasks. Part III of this guide contains a full set of reproducible Blackline Masters referenced in the 7th edition ofElementary and Middle School Mathematicsas well as additional Blackline Masters for use with the Expanded Lessons in Part II. We hope this Field Experience Guide Connections section will help you better integrate information from the text with your work in schools.

## Table of Contents

Part II Resources Organized by Content | p. vii |

NCATE Standards | p. ix |

Design of Field Experience Guide | p. x |

Menu of Field Experiences | p. 1 |

Field Experience Cover Sheet | p. 2 |

Field Experience Activity Log | p. 3 |

Professional and Pedagogical Knowledge: Classroom Environment | p. 4 |

Standards Alignment 4 o Rubric | p. 5 |

Observation: Physical Environment | p. 6 |

Observation: NCTM Professional Teaching Standards | p. 7 |

Teacher Interview: An Environment for Learning | p. 8 |

Student Interview: Attitudes and Environment | p. 9 |

Teaching: Establishing Your Environment | p. 10 |

Project: Assessing School Environment | p. 12 |

Professional and Pedagogical Knowledge: Planning | p. 13 |

Standards Alignment 13 o Rubric | p. 14 |

Teacher Interview: Selecting Goals and Objectives | p. 15 |

Observation: Evidence of Higher-Level Thinking | p. 16 |

Teaching: Mathematics Task Analysis | p. 17 |

Teaching: Worthwhile Task Evaluation | p. 18 |

Teaching: Planning a Problem-Based Lesson | p. 19 |

Teaching: Using Children's Literature in Math Teaching | p. 21 |

Content Knowledge | p. 23 |

Standards Alignment 23 o Rubric | p. 25 |

Observation: Conceptual and Procedural Knowledge | p. 26 |

Observation: Mathematical Proficiency | p. 27 |

Teacher Interview: Selecting a Worthwhile Task | p. 28 |

Student Interview: Conceptual and Procedural Knowledge | p. 29 |

Teaching: Create a Web of Ideas | p. 31 |

Teaching: Design (and Teach) a Lesson | p. 32 |

Reflection: Student Understanding | p. 33 |

Pedagogical Content Knowledge: Instruction | p. 34 |

Standards Alignment 34 o Rubric | p. 35 |

Observation: The Process Standards | p. 36 |

Observation: Classroom Discourse | p. 38 |

Observation: Cooperative Groups | p. 39 |

Teacher Interview: Teaching for Understanding | p. 41 |

Student Interview: Learning Mathematics Developmentally | p. 42 |

Teaching: Teaching a Small Group | p. 43 |

Teaching: Teaching a Standards-Based Lesson | p. 44 |

Reflection: Reflecting on Teaching and Learning | p. 45 |

Feedback on Teaching | p. 46 |

Pedagogical Content Knowledge: Technology | p. 47 |

Standards Alignment 47 o Rubric | p. 48 |

Project: Learning Online | p. 49 |

Project: Evaluating Mathematics Software or Websites | p. 50 |

Teaching: Using the Calculator to Support Learning | p. 51 |

Teaching: Develop a Calculator Learning Center | p. 52 |

Reflection: Reactions to Learning with Technology | p. 54 |

Dispositions | p. 55 |

Standards Alignment 55 o Rubric | p. 56 |

Teacher Interview: Communicating with Parents | p. 57 |

Parent Interview: What Is Important to You? | p. 59 |

Teaching: Prepare a Family Math Take-Home Activity | p. 60 |

Reflection: Professional Growth | p. 61 |

Student Learning | p. 62 |

Standards Alignment 62 o Rubric | p. 63 |

Classroom Observation: Assessing to Inform Instruction | p. 64 |

Diagnostic Interview: Assessing for Understanding | p. 65 |

Student Observation and Interview: Learning Through Problems | p. 69 |

Teaching: Assessing Student Understanding with Rubrics | p. 70 |

Teaching: Creating and Using Rubrics | p. 71 |

Teaching: Using Anecdotal Notes to Assess Students | p. 72 |

Teaching: Using a Checklist to Assess Students | p. 74 |

Diversity | p. 76 |

Standards Alignment 76 o Rubric | p. 77 |

Observation: One Child's Experience | p. 78 |

Teacher Interview: Student Diversity | p. 80 |

Teacher Interview: Environment and Students | p. 81 |

Teaching: Lesson Adaptations | p. 82 |

Teaching: Sheltering a Lesson for English Language Learners | p. 84 |

Reflection: Meeting the Needs of Individuals | p. 86 |

Resources for Teaching | p. 89 |

Expanded Lessons | p. 91 |

Exploring Subtraction Strategies | p. 93 |

Close, Far, and in Between | p. 95 |

Two More Than/ Two Less Than | p. 97 |

Learning about Division | p. 99 |

Estimating Groups of Tens and Ones | p. 101 |

Dot-Paper Equivalences | p. 103 |

Multiplication of Fractions | p. 105 |

Friendly Fractions to Decimals | p. 107 |

Division of Fractions Using the Partition Concept | p. 109 |

How Close Is Close? | p. 111 |

Comparing Ratios | p. 113 |

One Up and One Down 115iv | |

Predict How Many | p. 117 |

Create a Journey Story | p. 119 |

Crooked Paths | p. 121 |

Fixed Areas | p. 123 |

Shape Sorts | p. 125 |

Diagonal Strips | p. 127 |

Triangle Midsegments | p. 129 |

Using Data to Answer a Question | p. 131 |

Create a Game | p. 133 |

Bar Graphs to Circle Graphs | p. 135 |

Testing Bag Designs | p. 137 |

Toying with Measures | p. 139 |

Mathematics Activities | p. 141 |

The Find! | p. 143 |

Odd or Even? | p. 145 |

Factor Quest | p. 147 |

Interference | p. 149 |

Target Number | p. 151 |

Fraction Find | p. 153 |

Illustrating Ratios | p. 155 |

Building Bridges | p. 157 |

Compensation Decision | p. 159 |

Solving the Mystery | p. 161 |

Cover All | p. 163 |

Balanced Assessment Activities | p. 165 |

Magic Age Rings | p. 167 |

Grocery Store | p. 171 |

Bolts and Nuts! | p. 174 |

Blackline Masters | p. 179 |

Suggestions for Use and Construction of Materials | p. 179 |

More-or-Less Cards | p. 181 |

Number Cards | p. 182 |

Dot Cards 3-8 | p. 183 |

Five-Frame | p. 189 |

Ten-Frame | p. 190 |

Double Ten-Frame | p. 191 |

10 × 10 Multiplication Array | p. 192 |

Missing-Part Worksheet | p. 193 |

Base-Ten Materials Grid | p. 194 |

Little Ten-Frames 15-16 | p. 195 |

Place-Value Mat (with Ten-Frames) | p. 197 |

Base-Ten Grid Paper | p. 198 |

Addition and Subtraction Recording Charts | p. 199 |

Multiplication and Division Recording Charts | p. 200 |

Blank Hundreds Chart (10 × 10 Square) | p. 201 |

Hundreds Chart | p. 202 |

Four Small Hundreds Charts | p. 203 |

Circular Fraction Pieces 24-26 | p. 204 |

10 × 10 Grids | p. 207 |

Rational Number Wheel | p. 208 |

10,000 Grid | p. 209 |

Look-Alike Rectangles | p. 210 |

Look-Alike Rectangles Recording Sheet | p. 211 |

Degrees and Wedges | p. 212 |

Clock Faces | p. 213 |

2-cm Square Grid | p. 214 |

1-cm Square Grid | p. 215 |

0.5-cm Square Grid | p. 216 |

1-cm Square Dot Grid | p. 217 |

2-cm Isometric Grid | p. 218 |

1-cm Isometric Dot Grid | p. 219 |

1-cm Square/Diagonal Grid | p. 220 |

Assorted Shapes 42-47 | p. 221 |

Coordinate Grid | p. 228 |

Geoboard Pattern | p. 229 |

Geoboard Recording Sheets | p. 230 |

Tangrams and Mosaic Puzzle | p. 231 |

Motion Man 54-53 | p. 232 |

Property Lists for Quadrilaterals 54-57 | p. 234 |

Assorted Triangles | p. 238 |

Woozle Cards | p. 239 |

Design a Bag | p. 240 |

What Are the Chances? | p. 241 |

at Collections | p. 242 |

2 More Than | p. 243 |

2 Less Than | p. 244 |

How Long? | p. 245 |

Fraction Names | p. 246 |

Solving Problems Involving Fractions | p. 247 |

It's a Matter of Rates | p. 248 |

Predict How Many 69-70 | p. 249 |

Create a Journey Story | p. 251 |

Crooked Paths | p. 252 |

Rectangles Made with 36 Tiles | p. 253 |

Fixed Area Recording Sheet | p. 254 |

Properties of Quadrilateral Diagonals | p. 255 |

Toy Purchases | p. 256 |

Toying with Measures | p. 257 |

Table of Contents provided by Publisher. All Rights Reserved. |