IMAP CD-ROM: Integrating Mathematics and Pedagogy to Illustrate Children's Reasoning

IMAP videos are designed to be used with prospective elementary school teachers enrolled in mathematics courses or in mathematics methods courses, with practicing teachers, or with graduate students. The mathematics content of the clips is early number, place value, and rational number. Some clips show children in Grades 1–5 solving problems; others show problem solving in classrooms. A few clips were designed to illustrate interviewing children to assess their mathematical thinking. The CD is accompanied by a video guide containing suggestions for using each video clip and reflection questions. IMAP videos are available in MyMathLab, or 25 video clips are available on this CD.

CLIP 1: Strategies. Time: 2:56, Grade: 1

Three strategies for solving a missing-addend problem

CLIP 2: Dillon. Time: 10:00, Grade: 2

Story problems of seven types

CLIP 3: Gretchen. Time: 5:42, Grade: 2

One child with three approaches for 70 - 23

CLIP 4: Andrew. Time: 1:11, Grade: 2

Invented strategy for 47 - 39

CLIP 5: Zenaida. Time: 1:23, Grade: 3

12 tens in 120; 3 tens, 32 ones in 32; 316 ones in 316

CLIP 6: Javier. Time: 1:54, Grade: 5

6 x 12; 12 x 12, using number sense

CLIP 7: Talecia. Time 7:21, Grade: 3

Child confused about 10 hundred versus 110 in interview by 2 PSTs

CLIP 8: Decimal Assessments. Time: 5:19, Grade: 3, 5

Adding decimal numbers without understanding

CLIP 9: Megan & Donna. Time: 2:31, Grade: 5

Appending zeros to compare decimals; representing decimal numbers with blocks

CLIP 10: Brooke. Time: 1:26, Grade: 5

Using pictures to solve 4 - .7

CLIP 11: Ally. Time: 7:08, Grade: 5

Fraction assessment

CLIP 12: Jacky. Time: 3:25, Grade 5

1/7 > 2/7, less "out of" the whole; clip from Children's Mathematical Thinking Experience

CLIP 13: June/Rachel. Time: 6:21, Grade: 5

Conceptual/procedural

CLIP 14: Felisha Grade 4. Time 2:29, Grade: 4

Role of the unit

CLIP 15: Felisha Grade 2. Time: 1:39, Grade: 2

Making sense of fractions

CLIP 16: Elliot. Time: 1:29, Grade: 6

Role of the unit in 1 1/2 ÷ 1/3

CLIP 17: Grade 1 Class. Time: 7:24, Grade: 1

Sharing of story-problem solutions, whole class

CLIP 18: Grade 2 Class. Time: 14:43, Grade: 2

Small group solving problems with 10s

CLIP 19: Grade 3-4 Class. Time: 4:52, Grade: 3-4

192,000: 19,200 tens/1,920 hundreds

CLIP 20: Stephanie Intro. Time: 1:27, Grade: 1

Interview introduction

CLIP 21: Nicole Intro. Time: 3:41, Grade: 2

Interview Introduction

CLIP 22: Nicole 2. Time 1:17, Grade: 2

Using blocks to model a problem

CLIP 23: Nicole 3. Time: 1:00, Grade: 2

Sharing context for 15 ÷ 3 and 18 ÷ 3

CLIP 24: Richard. Time: 8:13, Grade 2

Interviewing issues, wait time, tools

CLIP 25: Melissa. Time: 0:54, Grade: 5

Correct answer, no sense

The children in these video clips are typical children found in schools all over the county and the strategies they use and the ways they think are common.

• Video Clips-  Each clip provides a glimpse into a child's mathematical thinking--one problem, one misconception, one mathematical triumph at a time. These 25 video clips have been categorized into five important categories:
  • Early Number, Place Value, Rational Numbers, Classroom Lessons, and Interviewing.
• View - from this module you can watch the video clip you selected from the Video Clip Menu. This screen also provides access to:
  • The Clip Info section helps contextualize each clip, providing background information about the classroom, grade level, problem, and the child herself.
  • The live transcript allows you to follow along more closely.
  • Questions to consider before and after viewing help you to get the most from each clip in terms of yoru own learning about student thinking and about good mathematics teaching.
• Applets - These programs will help you refresh your own mathematical understanding.
• Notepad - This feature allows you to take notes as you view clips and consider the questions posed about each clip.
• Resources - The resources include a video guide, background information for some of the clips, important "what if" questions to ask yourself about the clips, specific interview questions for different topics, and selected references.