By Steven Leinwand

ISBN-10: 0325026564

ISBN-13: 9780325026565

elevating scholars' math success doesn't suggest ripping up your making plans e-book and beginning over. In obtainable arithmetic Steven Leinwand (author of good arithmetic) indicates how small shifts within the sturdy educating you already do could make a massive distinction in scholar studying. available arithmetic is Leinwand's newest very important publication for math lecturers. In it he makes a speciality of the an important factor of lecture room guide. He scours the learn and visits powerful study rooms for sensible examples of small alterations on your instructing that result in deeper pupil studying in math. a few of his 10 classroom-tested educating shifts could shock you and others will validate your considering. yet them all will enhance your scholars' functionality. completely functional and ever-aware of the boundaries of lecturers' time, Leinwand provides every little thing you want to placed his common sense rules to take advantage of instantly. His huge making plans suggestion may help you streamline your instructing to get extra from every thing you do. school room examples from each grade point version instructing language and tutorial strikes. And his feedback for pro studying support raise your effectiveness in the course of the energy of collaboration. Steven Leinwand stocks your precedence: elevating the mathematical knowing and fulfillment of each one in all your scholars. learn obtainable arithmetic, attempt his 10 feedback on your perform, and observe how minor shifts on your educating can positioned pupil studying into excessive equipment.

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**Extra info for Accessible Mathematics: Ten Instructional Shifts That Raise Student Achievement**

**Example text**

What is the greatest number of sandwiches that Tom can buy? a. b. c. d. 5 8 11 18 This multiple-choice item is clearly designed to assess a student’s ability to identify the correct operation to solve a simple one-step word problem and, in this case, correctly ﬁnd a quotient. Note that to best assess this objective, the distracters represent, in rounded form, the quotient, difference, sum, and product of the two numbers in the problem. Note too that an ounce of number sense—at $2 each, I can buy only 5 sandwiches—is all that is needed to answer the problem correctly.

How do you know? What else can you tell me about those numbers? How else can we express that number? Is there still another way? About how much would that be? How did you get that? More speciﬁcally: • Given a problem with 1534, 4933, and 588, you can ask: Which is the greatest and which is least? About how much is the sum? How did you get that? Which number is different from the other two? In what ways? • Given a table with 221 , 5, and 11 2 , you can ask the same questions and then ask: What’s the sum?

In fact, every number that emerges during a math class presents a golden opportunity to strengthen number sense. I’ve been known to announce that as of this morning my age is 28,935,285 and then ask students to guess what the unit of time must be. Is it days? Hours? Minutes? Seconds? 25 ϫ 24 hours/day ϭ 464,598 hours 464,598 ϫ 60 minutes/hour ϭ 27,875,880 minutes 27,875,880 ϫ 60 seconds/minute ϭ 1,672,552,800 seconds And then the fun (and the real teaching) begins with questions and the ensuing discussion: • So what is the correct unit for the 28,935,285 that represents my actual age?

### Accessible Mathematics: Ten Instructional Shifts That Raise Student Achievement by Steven Leinwand

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