Archive for July, 2008

Geoboard Geometry

Sometimes geoboards are left on the shelf because we don’t know what to do with them. They can be powerful tools for students to study, length, area and perimeter. (But remember to be careful with the perimeter part because the length of one unit is only measured on the horizontal or vertical, not the diagonal.) […]

Posted in Topics: Area, Geoboards, Geometry, Math, Perimeter, Polygons, Quick Takes, Triangles

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What’s Happening With Hubble?

The Hubble Space Telescope has revolutionized the study of astronomy since its launch in 1990 and has sent a steady stream of striking images of space back to Earth from its orbit. It has:
Precisely measured the age of the universe
Found evidence of dark energy
Took images of distant galaxies in the young universe
Captured the “best […]

Posted in Topics: Electromagnetic Spectrum, Quick Takes, Science, Space Exploration, Space Sciences

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Factors

Factors and their multiples are so important to students’ work with fractions and number theory. These concepts come under the National Council of Teachers of Mathematics (NCTM) Number and Operations Standard for the middle grades. The resources here are all hands-on, if only virtually. Important to their success is the classroom talk that the resources […]

Posted in Topics: Factors, Math, Number and Operations, Quick Takes

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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

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The Relationship Between Science and Technology

Middle school students struggle with differentiating between science and technology. “Engineers, architects, and others who engage in design and technology use scientific knowledge to solve practical problems. [Emphasis added] They also usually have to take human values and limitations into account.” This quote comes from Benchmarks Online, a publication of the American Association for the […]

Posted in Topics: Engineering, Quick Takes, Science, Science and Technology, Scientific Method

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Action with Fractions!

Really understanding what fractions are, how they fit on the number line, and how to operate with them - add, subtract, multiply, divide - is central to learning decimals and percentages. According to the NCTM Principles and Standards, students in the middle grades should be expected to acquire a deeper understanding of fractions, decimals, and […]

Posted in Topics: Fractions, Math, Number and Operations, Quick Takes

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Earth Science Week, October 12-18, 2008

Now in its eleventh year, Earth Science Week is designed to promote awareness of the importance of the earth sciences. The theme of Earth Science Week 2008 is “No Child Left Inside.” Being held October 12-18, Earth Science Week 2008 will encourage young people to learn about the geosciences by getting away from the television, […]

Posted in Topics: Earth Sciences, Environmental Issues, Geology, History and Nature of Science, Plate Tectonics, Quick Takes, Science

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Seeing Math Through Fractals

Why take class time to investigate fractals? Granted, they are geometric figures and worthy of study for that reason alone. Moreover, their use in art and other areas connects mathematics to the world outside the textbook, as recommended by the NCTM Connections Standard. But a study of fractals also opens discussion of algorithm, dimension, and […]

Posted in Topics: Fractals, Geometry, Math, Quick Takes

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World Ocean Day

The Ocean Project, a network of aquariums, science museums, and conservation organizations, has designated June 8 as World Ocean Day. The network’s web site offers resources for these institutions to use in making the public aware of the significance of the ocean. In the resources below, you’ll find background information and lesson plans to help […]

Posted in Topics: Animals, Earth Sciences, Ecology, Environmental Issues, Life Sciences, Oceans, Plants, Quick Takes, Science

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Graphs: An Algebra Basic

Algebra can be hard to visualize. Learning to show relationships between symbolic expressions and their graphs opens an avenue to really seeing algebraic patterns. According to the NCTM Standards, at the middle school students move from plotting points to exploring the graphs of lines, including slope and intercept.
An Introduction to the Coordinate Plane
This is a […]

Posted in Topics: Algebra, Graphs, Math, Quick Takes

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