|
|
|
Young Mathematicians at Work Constructing Fractions, Decimals, and Percents
Catherine Twomey Fosnot, City College of New York, Maarten Dolk, Freudenthal Institute, The Netherlands
ISBN 978-0-325-00355-9 / 0-325-00355-6 / 2002 / 192pp / Paperback
Imprint: Heinemann Availability: In Stock Grade Level: 5-8
|
|
In our efforts to reform mathematics education, we've learned a tremendous amount about young students' strategies and the ways they construct knowledge, without fully understanding how to support such development over time. The Dutch do. So, funded by the National Science Foundation and ExxonMobil, Mathematics in the City was begun, a collaborative inservice project that pooled the best thinking from both countries. In Young Mathematicians at Work, Catherine Fosnot and Maarten Dolk reveal what they learned after several years of intensive study in numerous urban classrooms.
In this third volume in a series of three, Fosnot and Dolk focus on how children in grades 5-8 construct their knowledge of fractions, decimals, and percents. Their book:
- describes and illustrates what it means to do and learn mathematics.
- contrasts word problems with true problematic situations which support and enhance investigation and inquiry.
- provides strategies to help teachers turn their classrooms into math workshops.
- explores the cultural and historical development of fractions, decimals, and their equivalents and the ways in which children develop similar ideas and strategies.
- defines and gives examples of modeling, noting the importance of context.
- discusses calculation using number sense and the role of algorithms in computation instruction.
- describes how to strengthen performance and portfolio assessment.
- focuses on teachers as learners by encouraging them to see themselves as mathematicians.
|
|
Table of Contents
| 1. |
"Mathematics" or "Mathematizing"? |
| 2. |
The Landscape of Learning |
| 3. |
Equivalence on the Horizon |
| 4. |
Developing Part/Whole Big Ideas and Strategies |
| 5. |
Developing Mathematical Models |
| 6. |
Algorithms Versus Number Sense |
| 7. |
Developing Efficient Computation with Minilessons |
| 8. |
Assessment |
| 9. |
Teachers as Mathematicians |
|
|
Available from
Catherine Twomey Fosnot
Books
- Minilessons for Extending Addition and Subtraction: A Yearlong Resource (Paperback)
- Minilessons for Extending Multiplication and Division: A Yearlong Resource (Paperback)
- Minilessons for Operations with Fractions, Decimals, and Percents: A Yearlong Resource (Paperback)
- Minilessons for Early Addition and Subtraction: A Yearlong Resource (Paperback)
- Minilessons for Early Multiplication and Division: A Yearlong Resource (Paperback)
- Games for Early Number Sense: A Yearlong Resource (Paperback)
- Contexts for Learning Mathematics Teacher Pack 2-3 (Books)
- Contexts for Learning Mathematics Teacher Pack 3-4 (Books and Posters)
- Contexts for Learning Mathematics Teacher Pack 4-5 (Books and Posters)
- Contexts for Learning Mathematics Teacher Pack 5-6 (Books and Posters)
- Contexts for Learning Mathematics Teacher Pack 1-2 (Books and Posters)
- The Teachers' Lounge: Place Value and Division (Paperback)
- Field Trips and Fund-Raisers: Introducing Fractions (Paperback)
- The California Frog-Jumping Contest: Algebra (Paperback)
- Best Buys, Ratios, and Rates: Addition and Subtraction of Fractions (Paperback)
- The Mystery of the Meter: Decimals (Paperback)
- Exploring Parks and Playgrounds: Multiplication and Division of Fractions (Paperback)
- Ages and Timelines: Subtraction on the Open Number Line (Paperback)
- Trades, Jumps, and Stops: Early Algebra (Paperback)
- Groceries, Stamps, and Measuring Strips: Early Multiplication (Paperback)
- The Big Dinner: Multiplication with the Ratio Table (Paperback)
- Muffles' Truffles: Multiplication and Division with the Array (Paperback)
- The Box Factory: Extending Multiplication with the Array (Paperback)
- The T-Shirt Factory: Place Value, Addition, and Subtraction (Paperback)
- Organizing and Collecting: The Number System (Paperback)
- The Double-Decker Bus: Early Addition and Subtraction (Paperback)
- Bunk Beds and Apple Boxes: Early Number Sense (Paperback)
- Beads and Shoes, Making Twos: Extending Number Sense (Paperback)
- Contexts for Learning Mathematics : 3-level Bundle (Product Bundle)
- Contexts for Learning Mathematics, Level 3: Investigating Fractions, Decimals, and Percents (Books + CD-ROM)
- Contexts for Learning Mathematics Level 3 Posters (Posters)
- Contexts for Learning Mathematics, Level 2: Investigating Multiplication and Division (Books + CD-ROM)
- Contexts for Learning Mathematics Level 2 Posters (Posters)
- Contexts for Learning Mathematics, Level 1: Investigating Number Sense, Addition, and Subtraction (Books + CD-ROM)
- Contexts for Learning Mathematics Level 1 Read-Alouds (Paperback)
- YMAW Minilessons for Operations with Fractions, Decimals, and Percents, Grades 5-8 (Resource Package) (Paperback + CD)
- YMAW Exploring Playgrounds, Grades 5-8 (Resource Package): A Context for Multiplication of Fractions (Resource Package)
- YMAW Fostering Children's Mathematical Development, Grades 5-8 (Resource Package): The Landscape of Learning (Resource Package)
- Minilessons for Operations with Fractions, Decimals, and Percents, Grades 5-8 (CD) (CD)
- Exploring Playgrounds, Grades 5-8 (CD): A Context for Multiplication of Fractions (CD)
- Fostering Children's Mathematical Development, Grades 5-8 (CD): The Landscape of Learning (CD)
- Working with the Ratio Table, Grades 5-8 (Resource Package): Mathematical Models (Paperback)
- Sharing Submarine Sandwiches, Grades 5-8 (Resource Package): A Context for Fractions (Paperback + CD)
- Sharing Submarine Sandwiches, Grades 5-8 (CD): A Context for Fractions (CD)
- Working with the Ratio Table, Grades 5-8 (CD): Mathematical Models (CD)
- Young Mathematicians at Work, Grades 3-5: Professional Development Materials Pack (Other)
- Fostering Children's Mathematical Development, Grades 3-5 (CD): The Landscape of Learning (CD-ROM)
- Working with the Array, Grades 3-5 (CD): Mathematical Models (CD-ROM)
- Working with the Array, Grades 3-5 (Resource Package): Mathematical Models (Paperback + CD)
- Fostering Children's Mathematical Development, Grades 3-5 (Resource Package): The Landscape of Learning (Paperback + CD)
- Young Mathematicians at Work, PreK-3: Professional Development Materials Facilitator's Pack (Resource Package)
- Multiplication and Division Minilessons, Grades 3-5 (Resource Package) (Paperback + CD-ROM)
- Exploring Soda Machines, Grades 3-5 (Resource Package): A Context for Division (Paperback + CD-ROM)
- Turkey Investigations, Grades 3-5 (Resource Package): A Context for Multiplication (Paperback + CD-ROM)
- Multiplication and Division Minilessons, Grades 3-5 (CDs) (CD-ROM)
- Turkey Investigations, Grades 3-5 (CD): A Context for Multiplication (CD-ROM)
- Exploring Soda Machines, Grades 3-5 (CD): A Context for Division (CD-ROM)
- Addition and Subtraction Minilessons, Grades PreK-3 (Resource Package) (Paperback + CD-ROM)
- Exploring Ages, PreK-3 (Resource Package): The Role of Context (Paperback + CD-ROM)
- Addition and Subtraction Minilessons, Grades PreK-3 (CD) (CD-ROM)
- Exploring Ages, PreK-3 (CD): The Role of Context (CD-ROM)
- Taking Inventory, PreK-3 (CD): The Role of Context (CD-ROM)
- Working with the Number Line, PreK-3 (CD): Mathematical Models (cd-rom)
- Fostering Children's Mathematical Development, Grades PreK-3 (CD): The Landscape of Learning (cd-rom)
- Fostering Children's Mathematical Development, Grades PreK-3 (Resource Package): The Landscape of Learning (paperback + cd rom)
- Taking Inventory, PreK-3 (Resource Package): The Role of Context (paperback + cd rom)
- Working with the Number Line, Grades PreK-3 (Resource Package): Mathematical Models (paperback + cd rom)
- Young Mathematicians at Work: Constructing Fractions, Decimals, and Percents (Paperback)
- Young Mathematicians at Work: Constructing Multiplication and Division (Paperback)
- Young Mathematicians at Work: Constructing Number Sense, Addition, and Subtraction (Paperback)
- Contexts for Learning Mathematics Teacher Pack K-1 (Paperback)
Available from
Maarten Dolk
Books
- The Double-Decker Bus: Early Addition and Subtraction (Paperback)
- Organizing and Collecting: The Number System (Paperback)
- YMAW Minilessons for Operations with Fractions, Decimals, and Percents, Grades 5-8 (Resource Package) (Paperback + CD)
- YMAW Exploring Playgrounds, Grades 5-8 (Resource Package): A Context for Multiplication of Fractions (Resource Package)
- YMAW Fostering Children's Mathematical Development, Grades 5-8 (Resource Package): The Landscape of Learning (Resource Package)
- Minilessons for Operations with Fractions, Decimals, and Percents, Grades 5-8 (CD) (CD)
- Fostering Children's Mathematical Development, Grades 5-8 (CD): The Landscape of Learning (CD)
- Exploring Playgrounds, Grades 5-8 (CD): A Context for Multiplication of Fractions (CD)
- Working with the Ratio Table, Grades 5-8 (Resource Package): Mathematical Models (Paperback)
- Sharing Submarine Sandwiches, Grades 5-8 (Resource Package): A Context for Fractions (Paperback + CD)
- Working with the Ratio Table, Grades 5-8 (CD): Mathematical Models (CD)
- Sharing Submarine Sandwiches, Grades 5-8 (CD): A Context for Fractions (CD)
- Young Mathematicians at Work, Grades 3-5: Professional Development Materials Pack (Other)
- Fostering Children's Mathematical Development, Grades 3-5 (CD): The Landscape of Learning (CD-ROM)
- Working with the Array, Grades 3-5 (CD): Mathematical Models (CD-ROM)
- Fostering Children's Mathematical Development, Grades 3-5 (Resource Package): The Landscape of Learning (Paperback + CD)
- Working with the Array, Grades 3-5 (Resource Package): Mathematical Models (Paperback + CD)
- Young Mathematicians at Work, PreK-3: Professional Development Materials Facilitator's Pack (Resource Package)
- Multiplication and Division Minilessons, Grades 3-5 (Resource Package) (Paperback + CD-ROM)
- Turkey Investigations, Grades 3-5 (Resource Package): A Context for Multiplication (Paperback + CD-ROM)
- Exploring Soda Machines, Grades 3-5 (Resource Package): A Context for Division (Paperback + CD-ROM)
- Multiplication and Division Minilessons, Grades 3-5 (CDs) (CD-ROM)
- Turkey Investigations, Grades 3-5 (CD): A Context for Multiplication (CD-ROM)
- Exploring Soda Machines, Grades 3-5 (CD): A Context for Division (CD-ROM)
- Addition and Subtraction Minilessons, Grades PreK-3 (Resource Package) (Paperback + CD-ROM)
- Exploring Ages, PreK-3 (Resource Package): The Role of Context (Paperback + CD-ROM)
- Addition and Subtraction Minilessons, Grades PreK-3 (CD) (CD-ROM)
- Exploring Ages, PreK-3 (CD): The Role of Context (CD-ROM)
- Fostering Children's Mathematical Development, Grades PreK-3 (CD): The Landscape of Learning (cd-rom)
- Taking Inventory, PreK-3 (CD): The Role of Context (CD-ROM)
- Working with the Number Line, PreK-3 (CD): Mathematical Models (cd-rom)
- Working with the Number Line, Grades PreK-3 (Resource Package): Mathematical Models (paperback + cd rom)
- Fostering Children's Mathematical Development, Grades PreK-3 (Resource Package): The Landscape of Learning (paperback + cd rom)
- Taking Inventory, PreK-3 (Resource Package): The Role of Context (paperback + cd rom)
- Young Mathematicians at Work: Constructing Fractions, Decimals, and Percents (Paperback)
- Young Mathematicians at Work: Constructing Multiplication and Division (Paperback)
- Young Mathematicians at Work: Constructing Number Sense, Addition, and Subtraction (Paperback)
|
|
| You Might Also Be Interested In...
|
|
|
 |