Download About Teaching Mathematics: A K-8 Resource, 3rd Edition by Marilyn Burns PDF

By Marilyn Burns

A compendium of greater than 240 classroom-tested classes, this crucial source is helping lecturers construct pupil figuring out and talents and know how youngsters most sensible examine math. during this 3rd variation, Marilyn Burns has thoroughly revised the 1st part to mirror what she has realized through the years from her lecture room event with scholars and her expert improvement event with academics. This part has additionally been increased to deal with those very important subject matters: educating math vocabulary, incorporating writing into math guide, linking overview and guideline, and utilizing kid's literature to educate key math techniques. In a wholly new part, Marilyn addresses quite a lot of questions she has bought through the years from effortless and center institution academics relating to lecture room administration and educational concerns.

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Extra resources for About Teaching Mathematics: A K-8 Resource, 3rd Edition

Example text

Problem-solving techniques do exist, but they are general approaches, not algorithms that can be routinely applied to specific problems. Although arithmetic is essential for solving many problems in life, it is not the only mathematical skill generally needed. Figuring how much floor covering is needed for a room requires applying both geometry and measurement skills. Deciding on the best place to put savings involves ideas in the areas of probability and statistics. Assembling a bicycle that arrives in a crate calls for the application of logical thinking skills.

The common misperception is that the yarn will be about the same length as the height of the can. There’s an element of surprise when that perception is proved to be incorrect. More than surprise, there is often a feeling of consternation, of being puzzled about what has been shown, often of uncomfortableness. It’s as if you thought you had more understanding about the relationship between the height and circumference of a soft drink can. The realization of a misperception produces mental confusion.

Young children shown a group of objects frequently claim there are a greater number when the objects are spread out, but older children no longer make this error. Younger children report what they perceive; older children have reached a level of mental maturity that allows them to understand that the number of objects does not change when the objects are repositioned. A child who does not see the contradiction between perception and reality is not in a state of disequilibrium. Physical experience The more experiences children have with physical objects in the environment, the more likely related understanding will develop.

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