Elementary and Mid. School Mathematics -Field . Guide / Edition 7

Elementary and Mid. School Mathematics -Field . Guide / Edition 7

by Jennifer M. Bay-Williams
     
 

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ISBN-10: 0205583164

ISBN-13: 2900205583163

Pub. Date: 02/06/2009

Publisher: Pearson

The Field Experience Guide is for field experiences, practicums, and/or student teaching experiences at the elementary and middle school levels. This guide contains three parts. Part I, Menu of Field Experiences, provides tasks for preservice teachers to do in the field. Part II, Resources for Teaching, provides three types of activities: Expanded Lessons,

Overview

The Field Experience Guide is for field experiences, practicums, and/or student teaching experiences at the elementary and middle school levels. This guide contains three parts. Part I, Menu of Field Experiences, provides tasks for preservice teachers to do in the field. Part II, Resources for Teaching, provides three types of activities: Expanded Lessons, Mathematics Activities, and Balanced Assessment Tasks. Part III, Black Line Masters, features reproducibles, along with suggestions regarding the use and construction of many of these materials.

Every chapter in Part I includes field-based tasks that align to the National Council for Accreditation of Teacher Education (NCATE) standards; National Council of Teachers of Mathematics (NCTM) standards; and the textbook Elementary and Middle School Mathematics: Teaching Developmentally Seventh Edition by John A. Van de Walle, Karen S. Karp, and Jennifer M. Bay-Williams. For example, Chapter 6, "Teaching Mathematics Equitably to All Children," includes a menu of field experiences that provide evidence that you can meet the needs of diverse learners. New rubrics are provided in each chapter to help you and your professor assess your progress on the topic of that particular chapter.

Part II features fully updated, reformatted, and revised Expanded Lessons. Increased attention is given to assessment and to questioning in these new lessons. In addition to these 25 effective lessons, Part II has a collection of problem-based tasks that can be developed into engaging lessons. Finally, three balanced assessment tasks are provided, which can be used as a lesson or an assessment of student learning. The lessons and activities in Part II can be used to complete the field experiences in Part I.

Enjoy this collection of experiences as they support you in your journey towards being an effective teacher of mathematics.

Product Details

ISBN-13:
2900205583163
Publisher:
Pearson
Publication date:
02/06/2009
Edition description:
Older Edition
Pages:
264

Table of Contents

Part II Resources Organized by Content vii

NCATE Standards ix

Design of Field Experience Guide x

PART I Menu of Field Experiences 1

Field Experience Cover Sheet 2

Field Experience Activity Log 3

CHAPTER 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 12

CHAPTER 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 21

CHAPTER 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 33

CHAPTER 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 46

CHAPTER 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 54

CHAPTER 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 61

CHAPTER 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 74

CHAPTER 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 86

PART 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 139

CHAPTER 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 163

CHAPTER 11 Balanced Assessment Activities 165

11.1 Magic Age Rings 167

11.2 Grocery Store 171

11.3 Bolts and Nuts! 174

PART 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 × 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 × 10 Square) 201

Hundreds Chart 202

Four Small Hundreds Charts 203

Circular Fraction Pieces 24—26 204

10 × 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

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