By Amy Shell-Gellasch

ISBN-10: 0883859769

ISBN-13: 9780883859766

Studying from the medieval grasp masons : a geometrical trip in the course of the labyrinth / Hugh McCague --
Dem bones ain't useless : Napier's bones within the lecture room / Joanne Peeples --
The towers of Hanoi / Amy Shell-Gellasch --
Rectangular protractors and the maths school room / Amy Ackerberg-Hastings --
Was Pythagoras chinese language? / David E. Zitarelli --
Geometric string types of descriptive geometry / Amy Shell-Gellasch, invoice Acheson --
The French Curve / Brian J. Lunday --
Area with out integration : make your personal planimeter / Robert L. Foote, Ed Sandifer --
Historical mechanisms for drawing curves / Daina Taimina --
Learning from the Roman land surveyors : a mathematical box workout / Hugh McCague --
Equating the sunlight : geometry, types, and functional computing in Greek astronomy / James Evans --
Sundials : an creation to the heritage, layout, and development / J.L. Berggren --
Why is a sq. sq. and a dice cubical? / Amy Shell-Gellasch --
The cycloid pendulum clock of Christiaan Huygens / Katherine Inouye Lau, Kim Plofker --
Build a brachistochrone and captivate your classification / V. Frederick Rickey --
Exhibiting mathematical items : making experience of your department's fabric tradition / Peggy Aldrich Kidwell, Amy Ackerberg-Hastings.

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Hands on history : a resource for teaching mathematics by Amy Shell-Gellasch PDF

Studying from the medieval grasp masons : a geometrical trip during the labyrinth / Hugh McCague --
Dem bones ain't useless : Napier's bones within the lecture room / Joanne Peeples --
The towers of Hanoi / Amy Shell-Gellasch --
Rectangular protractors and the maths school room / Amy Ackerberg-Hastings --
Was Pythagoras chinese language? / David E. Zitarelli --
Geometric string types of descriptive geometry / Amy Shell-Gellasch, invoice Acheson --
The French Curve / Brian J. Lunday --
Area with out integration : make your personal planimeter / Robert L. Foote, Ed Sandifer --
Historical mechanisms for drawing curves / Daina Taimina --
Learning from the Roman land surveyors : a mathematical box workout / Hugh McCague --
Equating the sunlight : geometry, types, and sensible computing in Greek astronomy / James Evans --
Sundials : an advent to the historical past, layout, and building / J. L. Berggren --
Why is a sq. sq. and a dice cubical? / Amy Shell-Gellasch --
The cycloid pendulum clock of Christiaan Huygens / Katherine Inouye Lau, Kim Plofker --
Build a brachistochrone and captivate your type / V. Frederick Rickey --
Exhibiting mathematical gadgets : making feel of your department's fabric tradition / Peggy Aldrich Kidwell, Amy Ackerberg-Hastings.

Additional info for Hands on history : a resource for teaching mathematics

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The former reflects a fundamentally geometric idea expressing a relationship among squares constructed on the sides of a right triangle. The latter is an arithmetic expression that 5 harkens back 4000 years to Babylon, whose mathematically adroit scien4 tists uncovered numerous arithmetic properties of right triangles. The most important one determined those triples of integers that could represent the lengths of the legs of right triangles. However, we are not concerned with 3 Figure 1 such arithmetical relationships here.

To make a set of these bones you will be marking on both sides of the tongue depressor, so your lines must be very accurate in order that everything will line up properly when using the bones to multiply or divide. I have made one line 1 1/16 inch down from the top and another 1 1/16 inch up from the bottom of the tongue depressor. The other eight lines are spaced 1/2 inch apart. The diagonal lines go from the lower left to the upper right in each of the nine rectangles. As you can see, one side of the tongue depressor seems to be “upside down” compared with the other side, and the “header” numbers (in this case 2 and 7) are nines-complements.

These are not two-sided bones, but strips could be glued together (or glued onto tongue depressors) if you want to make them twosided. How to Multiply and Divide Using Bones: Multiplying by a single digit number: To multiply 47,526 by 7, first find the bones labeled 4, 7, 5, 2, and 6, and lay them side by side to make the number 47526. Then count down to row 7: Figure 11. From the private collection of Joanne Peeples By adding the numbers in the parallelograms (the first and last numbers are in triangles), you can “read off” the answer.

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Hands on history : a resource for teaching mathematics by Amy Shell-Gellasch


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