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Understanding Linear Measurement

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FiguRe 4<br />

the foot task offers the chance for conceptual development.<br />

University of chicago School mathematics project 2007. “teacher’s lesson Guide, Grade 1.” Everyday Mathematics.<br />

chicago, il: Wright Group/mcGraw-hill, p. 288. reprinted with permission.<br />

such as, “I like how the red button and the pink<br />

erasers look together; can I use them both to<br />

measure the length at the same time? Why, or<br />

why not?” Some students may not realize that<br />

to ensure units are the same length, they must<br />

also be rigid. Consider furnishing a rubber<br />

band for students to measure a length. Ask,<br />

“Could I use this to get an accurate measure<br />

of length? Why, or why not?”<br />

2. Does the task offer an opportunity for<br />

students to think about why units cannot<br />

have gaps or overlaps?<br />

When a task prompts students to tile units,<br />

consider including an erroneous example<br />

on the board (such as Josef’s work in the<br />

Buttons task) and asking students to explain<br />

why such a method will not give an accurate<br />

measurement. When a task prompts students<br />

to iterate a unit of length (such as in the Foot<br />

task), consider having them trace the units<br />

before moving them, so they leave a record of<br />

where the units were placed along the span.<br />

FiguRe 5<br />

tasks like one-inch Squares give students a chance to link<br />

their work with discrete length units (nonstandard and<br />

standard) to the marks on rulers.<br />

charles, randall, Warren crown, and francis fennell 2008. “teacher’s Guide, Grade 1.” Mathematics, michigan ed.<br />

Glenview, il: Scott-foresman/Addison Wesley, p. 371B. reprinted with permission.<br />

www.nctm.org teaching children mathematics • November 2011 257

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