By Margaret Schwan Smith, Edward A. Silver, Mary Kay Stein, Melissa Boston, Marjorie A. Henningsen, Amy F. Hillen

ISBN-10: 0807745294

ISBN-13: 9780807745298

Supporting scholars improve an knowing of significant mathematical rules is a continual problem for academics. during this booklet, certainly one of a three-volume set, recognized arithmetic educators Margaret Smith, Edward A. Silver, and Mary Kay Stein supply academics of arithmetic the aid they should increase their guideline. They concentrate on how you can interact higher effortless, heart university, and highschool scholars in pondering, reasoning, and challenge fixing to construct their arithmetic knowing and talent. The content material concentration of quantity One is rational numbers and proportionality. utilizing fabrics that have been constructed less than the NSF-funded COMET (Cases of arithmetic to augment instructing) software, each one quantity within the set beneficial properties: * instances from city, center tuition study rooms with ethnically, racially, and linguistically various scholar populations. each one case illustrates an educational episode within the lecture room of a instructor who's imposing standards-based guideline. * The teachersÂ’ point of view, together with their ideas and activities as they have interaction with scholars and with key features of mathematical content material. * Cognitively tough arithmetic actions which are outfitted round samples of genuine lecture room perform. * Facilitation chapters to assist specialist builders "teach" the instances, together with particular directions for facilitating discussions and proposals for connecting the guidelines offered within the situations to a teacherÂ’s personal perform. As a whole set, this source presents a foundation on which to construct a entire specialist improvement application to enhance arithmetic guide and scholar studying.

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**Extra resources for Using Cases to Transform Mathematics Teaching and Learning – Volume 1 – Improving Instruction in Rational Numbers and Proportionality (Ways of Knowing in Science and Mathematics)**

**Sample text**

9. The students moaned at the large number. I told them to make sure that they read the problem carefully before beginning their work and that we would talk about it first thing next class period. 9. The Third Candy Jar Problem Assigned for Homework 3. Suppose you had a candy jar with the same ratio of Jolly Ranchers to Jawbreakers (5 to 13), but it contained 720 candies. How many of each kind of candy would you have? Friday’s Class 36. The students arrived the next morning with lots of different ways of attacking the problem.

Once I noticed that most groups had completed Problem 2, I asked for a volunteer to share his or her solution and method with the class. Devon, who had been pretty quiet throughout the class, had an interesting solution to the problem. ) I was pleased to see him volunteer to share his solution and invited him to the overhead. 9a, Devon explained: “First I broke the rectangle into four parts. 9b). 9c). I then asked Devon what percent of the grid was shaded. He said that he wasn’t sure. I asked him to think about what he already knew.

I asked her to explain how she got her answer and she said that she had “divided the bottom into the top” using a calculator, got a decimal, and moved the decimal point over two places to obtain the percent. 425. Natalie used the overhead calculator to demonstrate the procedure of dividing 34 by 80. (The calculator resides on the overhead cart and students routinely use it as needed while working at the overhead. ) Natalie’s calculation seemed to satisfy Charles, but it did not satisfy me. I wanted students to make sense out of the decimal and percent values, not just use a procedure that had no connection to the diagram and, more important, no meaning to them.

### Using Cases to Transform Mathematics Teaching and Learning – Volume 1 – Improving Instruction in Rational Numbers and Proportionality (Ways of Knowing in Science and Mathematics) by Margaret Schwan Smith, Edward A. Silver, Mary Kay Stein, Melissa Boston, Marjorie A. Henningsen, Amy F. Hillen

by Kenneth

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