Young Mathematicians at Work: Constructing ...
Outline of content

Young Mathematicians at Work: Constructing Number Sense, Addition, and Subtraction
Fosnot, Catherine Twomey; & Dolk, Maarten. (2001).

 

1. "Mathematics" or "Mathematizing"?
2. The Landscape of Learning
3. Number Sense on the Horizon
4. Place Value on the Horizon
5. Developing Mathematical Models
6. Addition and Subtraction Facts on the Horizon
7. Algorithms Versus Number Sense
8. Developing Efficient Computation with Minilessons
9. Assessment
10. Teachers as Mathematicians

Young Mathematicians at Work: Constructing Multiplication and Division
Fosnot, Catherine Twomey; & Dolk, Maarten. (2001).

1. Mathematizing  - describes and illustrates what it means to do and learn mathematics
2. The landscape of learning - provides strategies to help teachers turn their classrooms into math workshops that encourage and reflect mathematizing
3. Developing multiplication strategies and big ideas - examines several ways to engage and support children as they construct important strategies and big ideas related to multiplication
4. Connection division to multiplication - takes a close look at the strategies and big ideas related to division
5. Multiplication strategies - defines modeling and provides examples of how learners construct models with a discussion of the importance of context
6. Algorithms versus number sense - discusses what it means to calculate using number sense and whether or not algorithms should still be the goal of computation instruction
7. Developing Efficient Computation with Minilessons
8. Assessment  - describes how to strengthen performance and portfolio assessment
9. Landmark ideas, strategies, models - emphasizes teachers as learners by encouraging them to see themselves as mathematicians.

 

Young Mathematicians at Work: Constructing Fractions, Decimals, and Percents
Fosnot, Catherine Twomey; & Dolk, Maarten. (2002).

1. Mathematizing - describes and illustrates what it means to do and learn mathematics.
2. The landscape of learning - contrasts word problems with true problematic situations which support and enhance investigation and inquiry.
3. Equivalence on the Horizon - provides strategies to help teachers turn their classrooms into math workshops.
4. Developing big ideas and strategies - explores the cultural and historical development of fractions, decimals, and their equivalents and the ways in which children develop similar ideas and strategies.
5. Developing mathematical models  - defines and gives examples of modeling, noting the importance of context.
6. Algorithms vs. number sense  - discusses calculation using number sense and the role of algorithms in computation instruction.
7. Developing efficient computation with minilessons 
8. Assessment  - describes how to strengthen performance and portfolio assessment.
9. Landmark ideas, strategies, models - focuses on teachers as learners by encouraging them to see themselves as mathematicians.

Dr. Robert Sweetland's Notes ©