Monday, March 16, 2015

What are the big ideas students should understand about measurement?


From: Van de Walle, John A. & Lovin LouAnn H. ; Teaching Student Centered Mathematics
Grades 3-5; Pearson Education Inc. 2006.



• Measurement is about comparisons of an object's attribute with a unit that has the same attribute. Ex. An object's length is compared to units of length, an object's area to units of area, time to units of time, etc.

• Meaningful measurement and estimation of measurements depend on personal familiarity with the unit of measurement being used. (It has to make sense).

•Estimation of measures and the development of personal benchmarks for frequently used units of measure help students become more familiar with units. Developing personal benchmarks help prevent errors in measurement and help students make sense of the action of measuring.

• Measurement instruments are devices that replace the need for actual measurement units. It is important to understand how measurement instruments (rules, scales, thermometers, etc) work so that they can be used correctly and meaningfully.

•Area and Volume formulas provide a method of measuring these attributes by using only measures of length.

•Area, perimeter and volume are related to each other, tho not precisely or by formula. For example, as the shapes of regions or three-dimensional objects change, but maintain the same areas or volumes, there is a predictable effect on the perimeter and surface areas.


Students should learn that when measuring something, there are three steps:

1. Decide on the attribute to be measured
2. Select a unit that has that attribute
3. Compare the units by filling, covering, matching or some other method, with the attribute of the object being measured.

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