By Marilyn Burns
For a few years, Marilyn Burns has produced a e-newsletter for academics. every one e-newsletter comprises classroom-tested actions from academics around the nation. This compilation provides the newsletters' most sensible problem-solving classes for grades 1-6. the teachings span the strands of the mathematics curriculum and are illustrated with kid's paintings.
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Extra info for 50 problem-solving lessons: The best from 10 years of math solutions newsletters
After about 15 minutes, David called the class to attention. “Each pair will show the class 53 50 PROBLEM-SOLVING LESSONS David followed this lesson with an exploration of the ways to divide rectangles into 2 through 10 equal shares. ) one square that you divided,” he said. ” As each pair came to the front of the room, David drew a square on the board on which the two students showed their method. The children had to explain why the part they shaded was one-half of the square. David invited others in the class to ask questions and challenge the results if they disagreed.
One pair of students used a ruler successfully but in an unconventional way. They discovered that the length of a rectangle was exactly the same as five widths of a ruler and used that information to draw fifths! One pair divided their “cake” as shown below and felt satisfied that there were 16 equal pieces. The students divided their “cakes” in various ways. “Some are short and fat and some are long and skinny and it all evens out,” the two children explained to David.
Sarah and Amika had a particularly difficult time. Once they drew it, however, they were able to explain why what they shaded represented half. “See, this corner part is the same as this part,” Sarah explained as Amika pointed. ” The students used various ways to divide squares in half. Jeremy’s example raised the question of how to prove whether what was shaded really was half. He wasn’t sure how to explain it, but he was convinced that he was correct. Children made suggestions, and soon Jeremy was cutting up the square to compare areas.
50 problem-solving lessons: The best from 10 years of math solutions newsletters by Marilyn Burns
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