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" Comprehending math : "
Arthur Hyde ; foreword by Ellin Keene.
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BL
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| Record Number
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952036
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| Doc. No
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b706406
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| Main Entry
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Hyde, Arthur A.
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| Title & Author
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Comprehending math : : adapting reading strategies to teach mathematics, K-6 /\ Arthur Hyde ; foreword by Ellin Keene.
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| Publication Statement
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Portsmouth, NH :: Heinemann,, ©2006.
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| Page. NO
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xv, 200 pages :: illustrations ;; 24 cm
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| ISBN
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032500949X
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: 9780325009490
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| Bibliographies/Indexes
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Includes bibliographical references (pages 187-189) and index.
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| Contents
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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.
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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.
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| Subject
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Mathematics-- Study and teaching (Elementary)
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Reading (Elementary)
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Reading comprehension.
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Mathematics-- Study and teaching (Elementary)
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Reading (Elementary)
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Reading comprehension.
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| Dewey Classification
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372.7
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| LC Classification
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QA20.R43H93 2006
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