Archive for the 'Measurement' Category

Around a Circle: Measuring a Geometric Figure

Your textbook has many, many problems on finding the measurements of a circle, so I looked for problems that are off the beaten track. The result is an unusual set of applications to the circle, therefore challenging but intriguing, I think, for middle school classes. Let your colleagues know of your own ideas  and comments […]

Posted in Topics: Area, Circumference, Geometry, Math, Measurement, Pi, Problem Solving, Quick Takes

Add a Comment »

Math Students Collaborating Nationwide, Even Worldwide!

There are middle school projects that gain impact through collaboration with students outside your own classroom, such as estimating the average amount of water used per person per day. This problem takes on deeper relevance when averages are compared to those of classrooms around the country and the world. Other projects, such as finding the circumference […]

Posted in Topics: Data, Data Analysis, Instruction, Integrating Technology, Math, Measurement, Process Skills (Mathematics), Quick Takes, Real Data, Statistics

Add a Comment »

Measuring a Solid

Many students never really understand volume or surface area, although they can memorize the formulas and even apply them on tests. These resources have been selected with an eye to helping students enter into the concepts of volume and surface area through practical problems, hands-on experiences, and applets they can manipulate to actually see how […]

Posted in Topics: 3-D Shapes, Area, Geometry, Math, Measurement, Process Skills (Mathematics), Quick Takes, Volume

Add or View Comments (3) »

Close Encounters with Ratios

Understanding ratio and proportion, one of NCTM’s Focal Points for grade 7, presents a real challenge for all levels of middle school. Here are classroom-friendly ways to explore the topic from several angles. Each involves visuals or hands-on activities that bring students into close contact with the abstract concept of ratio. Let other teachers hear your ideas […]

Posted in Topics: Area, Arithmetic, Instruction, Math, Measurement, Number and Operations, Pi, Process Skills (Mathematics), Quick Takes, Ratio, Scale, Volume

Add a Comment »

Connecting Classrooms, Sharing Real Data

This article first appeared in Beyond Penguins and Polar Bears online magazine April 1, 2008. The article has been modified to include middle school math and science examples. All versions of this article are licensed under a Creative Commons License.
————————————————————————-
Collaborative and real-time data projects engage students in collecting and sharing local data; communicating […]

Posted in Topics: Data, Data Analysis, Integrating Technology, Math, Measurement, Personal and Social Issues, Process Skills (Mathematics), Quick Takes, Real Data, Science

Add or View Comments (4) »

Making Math Visual

The abstract concepts of mathematics, usually expressed through symbols and un-common vocabulary, can frustrate the visual learners in your middle school classroom. Here is where the computer can become a powerful teaching tool. Such commonplace but abstract concepts as fractional equivalence and the “size” of large numbers can be made visual through technology. Students can interact […]

Posted in Topics: 3-D Shapes, Algebra, Fractals, Fractions, Geometry, Instruction, Integrating Technology, Math, Measurement, Process Skills (Mathematics), Pythagorean Theorem, Quick Takes

Add a Comment »

History to Enrich Mathematics Learning!

Although the NCTM Standards do not have student expectations for learning mathematics history, exposure to this history can help students see real-world connections in mathematics.
Approximating Pi
Mathematics and science owe a great deal to Archimedes, including a way to approximate pi. Here is historical information along with an applet to approximate pi using the perimeter […]

Posted in Topics: Geometry, History of Mathematics, Math, Measurement, Pi, Probability, Pythagoras, Quick Takes, Ratio

View or Add Comment (1) »

Hands-On Measuring

Students need active learning experiences to understand measurement concepts and develop important skills. These resources provide opportunities for students to problem solve with hands-on and virtual measurements in real-world and online environments.
Fit by Design or Design to Fit
This applied mathematics lesson features hands-on activities supporting the NCTM Measurement Standard, and can be used to introduce […]

Posted in Topics: 3-D Shapes, Area, Data, Geometry, Math, Measurement, National Standards, Perimeter, Process Skills (Mathematics), Pythagorean Theorem, Quick Takes, Real Data, Reasoning, Scale, Triangles, Volume

Add a Comment »

Speaking in Math Terms

“Words! Words! Words!” sang Eliza Doolittle in the musical My Fair Lady. “I’m so sick of words!” But students have to master the vocabulary of mathematics. This is especially difficult for those learning a new language even as they struggle with new mathematics vocabulary. The first two resources deal with mathematical terms themselves, while the […]

Posted in Topics: Algebra, Data, Fractions, Geometry, Math, Measurement, Multicultural Approaches, Number and Operations, Quick Takes

View or Add Comment (1) »

Linear Measurement

Sure middle schoolers know how to measure length! But if students need a little more experience with linear measurement, here are challenging resources that put linear measurement into a practical context, or can be used for review before introducing a new measurement topic.
Big Tree: Have You Ever Seen a Tree Big Enough to Drive […]

Posted in Topics: Math, Measurement, Perimeter, Process Skills (Mathematics), Quick Takes

Add or View Comments (3) »