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 enhance an figuring out of vital mathematical principles is a continual problem for academics. during this e-book, considered one of a three-volume set, recognized arithmetic educators Margaret Smith, Edward A. Silver, and Mary Kay Stein supply academics of arithmetic the help they should increase their guideline. They concentrate on how one can have interaction higher trouble-free, center institution, and highschool scholars in pondering, reasoning, and challenge fixing to construct their arithmetic knowing and skillability. 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, every one quantity within the set positive aspects: * instances from city, center university school rooms with ethnically, racially, and linguistically various scholar populations. each one case illustrates an academic episode within the school room of a instructor who's imposing standards-based guideline. * The teachersÂ’ viewpoint, together with their techniques and activities as they have interaction with scholars and with key features of mathematical content material. * Cognitively difficult arithmetic actions which are outfitted round samples of real school room perform. * Facilitation chapters to aid expert builders "teach" the circumstances, together with particular directions for facilitating discussions and proposals for connecting the guidelines offered within the situations to a teacherÂ’s personal perform. As an entire set, this source offers a foundation on which to construct a complete expert improvement software to enhance arithmetic guide and pupil studying.
Read Online or Download Using Cases to Transform Mathematics Teaching and Learning – Volume 1 – Improving Instruction in Rational Numbers and Proportionality (Ways of Knowing in Science and Mathematics) PDF
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Additional info 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
T. (1994). A conceptual model for solving percent problems. Mathematics Teaching in the Middle School, 1, 20–25. The authors describe how 10 × 10 grids can be used to help students conceptualize percent. , a 10 × 10 grid) and 1% as represented by one small square that is one-hundredth of the unit square. Several examples of percent problems that can be solved using a 10 × 10 grid are provided. Lamon, S. (1999). Teaching fractions and ratios for understanding: Essential content knowledge and instructional strategies for teachers.
You may want to note points of agreement and disagreement and identify issues that you wish to investigate. You may wish to extend your analysis of the case by considering the questions in the next section. Alternatively, you can skip the next section and proceed directly to the “Connecting to Your Own Practice” section, in which you are encouraged to relate the analysis of the ideas and issues raised in the case to your own teaching practice. EXTENDING YOUR ANALYSIS OF THE CASE The questions listed in this section are intended to help you focus on particular aspects of the case related to teacher decision-making and student thinking.
40. 05. 45. 45% or that the unit whole was only one small square. 45% of the whole for us. 45 percent would be a piece that was less than half of one square. ” I thanked Denise for her explanation. 45%. I was happy to have an opportunity to revisit this distinction since this is often confusing to students. I glanced at the clock and noted that the bell was going to ring any second. I told students that for homework they were to complete the Connecting Fractions, Decimals, and Percents—The Case of Randy Harris remaining problems in Set A without using Method 1.
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
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