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## Details

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. |

More information: |

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by megansmith16 updated 2011-03-20