Syndetics cover image
Image from Syndetics

Comprehending math : adapting reading strategies to teach mathematics, K-6 / Arthur Hyde ; foreword by Ellin Keene.

By: Material type: TextTextPublication details: Portsmouth, NH : Heinemann, ©2006.Description: xv, 200 pages : illustrations ; 24 cmContent type:
  • text
  • still image
Media type:
  • unmediated
Carrier type:
  • volume
ISBN:
  • 032500949X
  • 9780325009490
Subject(s):
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.
Holdings
Item type Home library Collection Call number Materials specified Status Date due Barcode Item holds
Children's Book Children's Book Main Library Parent/Teacher Resource Collection-Children's 372.7 H993 Available 33111009289683
Total holds: 0

Enhanced descriptions from Syndetics:

For those who devour Comprehending Math as I did, their teaching will be clearer, bolder, more connected. And for the ultimate beneficiaries, they will have a chance to understand just how integrally our world is connected.
Ellin Oliver Keene, author of Mosaic of Thought

No matter the content area, students need to develop clear ways of thinking about and understanding what they learn. But this kind of conceptual thinking seems more difficult in math than in language arts and social studies. Fortunately we now know how to help kids understand more about mathematics than ever before, and in Comprehending Math you'll find out that much of math's conceptual difficulty can be alleviated by adapting what we have learned from research on language and cognition.

In Comprehending Math Arthur Hyde (coauthor of the popular Best Practice ) shows you how to adapt some of your favorite and most effective reading comprehension strategies to help your students with important mathematical concepts. Emphasizing problem solving, Hyde and his colleagues demonstrate how to build into your practice math-based variations of:

K - W - L visualizing asking questions inferring predicting making connections determining importance synthesizing

He then presents a practical way to "braid" together reading comprehension, math problemsolving, and thinking to improve math teaching and learning. Elaborating on this braided model of approach to problem solving, he shows how it can support planning as well as instruction.

Comprehending Math is based on current cognitive research and features more than three dozen examples that range from traditional story problems to open-ended or extended-response problems and mathematical tasks. It gives you step-by-step ideas for instruction and smart, specific advice on planning strategy-based teaching.

Help students do math and get it at the same time. Read Comprehending Math , use its adaptations of familiar language arts strategies, and discover how deeply students can understand math concepts and how well they can use that knowledge to solve problems.

Includes bibliographical references (pages 187-189) and index.

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.

Powered by Koha