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Comprehending math : adapting reading strategies to teach mathematics, K-6

Author: Arthur A Hyde
Publisher: Portsmouth, NH : Heinemann, ©2006.
Edition/Format:   Print book : EnglishView all editions and formats
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Arthur A Hyde
ISBN: 032500949X 9780325009490
OCLC Number: 69020893
Description: xv, 200 pages : illustrations ; 24 cm
Contents: Introduction: braiding mathematics, language, and thinking. Three key pieces --
Death, taxes, and mathematics --
A little foreshadowing --
Reading comprehension --
Reading comprehension strategies --
Mathematical thinking and problem solving --
How do all these ideas fit together? --
1. Asking Questions. Inquiring minds want to know --
Asking questions of themselves, the text, and the author --
Second graders use the KWC --
Debriefing the activity --
Frontloading to understand the problem --
How the K and C work together --
Surfacing prior knowledge --
Using real-life problems: interrogate the author --
Points to ponder --
Considerations in planning for problem solving --
Situation --
Big ideas, enduring understandings, and essential concepts --
Authentic experiences --
2. Making connections. The nature and function of concepts --
Schema theory, the foundation of reading comprehension --
Humans are pattern-seeking creatures --
Building connections in Mathematics --
Local concept development --
Working in one context --
Handling multiple contexts --
Points to ponder --
Considerations in planning for problem solving --
Cognitive processes in the context --
Grouping structures to encourage the social construction of meaning --
The Braid Model of Problem Solving --
3. Visualization. Visualizing while reading --
Three types of visualization in mathematics --
Spatial thinking, or visualizing spatial relationships/ orientations --
Twenty-four shapes --
Creating sensory images/visualizing the situation --
Revisiting the two spies with a different representation --
Visualizing and translating between two representations --
Creating representations --
Using multiple representations to connect concepts and procedures --
Considerations in planning for problem solving --
Language representations --
Other representations --
The Braid Model of Problem Solving --
4. Inferring and predicting. Inferring, an essential process in understanding modes of language --
Inferring, predicting, and reasoning in mathematics --
Third Graders' interpretations --
Mathematics, the science of patterns --
Basic skills --
Numbers and computation in Asian languages --
Repeat business --
Inferring the meaning of operations --
Inference and prediction in probability --
Considerations in planning for problem solving patterns --
The Braid Method of Problem Solving. 5. Determining importance. --
Analyzing text --
Math story problems as a genre --
Applying the KWC to this genre --
Analyzing mathematical attributes --
Are there alternatives to the traditional genre? --
Mathematical model --
An experimental probability game as an example of model building --
Getting familiar with the game --
Playing the first game --
More games, more data --
Compare to a different probability situation --
Analyzing a hand --
Calculating the probability --
Do I have a suit for you --
What a fair game would look like --
6. Synthesizing. The challenge --
Inside our heads --
Synthesis in mathematics --
What's the number? --
Figuring out numbers and number relationships --
Mary and her sisters --
Writing reasoning, reflections, and synthesis is mathematics --
Journaling --
Synthesizing mathematical ideas with chocolate --
7. The power of braiding. Planning for problem solving --
Teaching math content through problem solving --
Future directions of problem solving.
Responsibility: Arthur Hyde ; foreword by Ellin Keene.
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