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The Nature of Mathematics – 13th Edition

Chapter 05

Video Links 5-3

August 11, 2015July 8, 2015 by elaine

Videos:
Adding Integers (time: 1:51)

Subtracting Integers (time: 2:08)

Multiplying Integers (time: 1:15)

Dividing Integers (time: 1:18)
… See the whole entry

Categories Chapter 05, Video Links Tags Addition of integers, Dividing integers, Multiplication of integers, Subtraction of integers

Video Links 5-2

August 11, 2015July 8, 2015 by elaine

Videos:
Sieve of Eratosthenes (time: 2:55)

Prime Numbers (time: 1:42)

Largest Prime (time: 1:14)
… See the whole entry

Categories Chapter 05, Video Links Tags Prime Numbers, sieve of Eratosthenes

Reference Topics 5-3

May 21, 2024July 8, 2015 by elaine

Download integer worksheets from this site:
http://worksheetplace.com/index.php?function=DisplayCategory&showCategory=Y&links=3&id=25&link1=40&link2=46&link3=25

Mrs. Glosser’s Math Goodies,TM
This site gives worksheets, exposition, and other practice, but would like to sell you a CD.
http://www.mathgoodies.com/lessons… See the whole entry

Categories Chapter 05, Reference Topics Tags Integer

Reference Topics 5-4

May 20, 2024July 8, 2015 by elaine

Rational Numbers
http://mathworld.wolfram.com/RationalNumber.html

Teaching module on rational numbers for prospective teachers.
http://jwilson.coe.uga.edu/Texts.Folder/Tirosh/Module.html

 … See the whole entry

Categories Chapter 05, Reference Topics Tags Rational Numbers

Reference Topics 5-5

July 23, 2017July 8, 2015 by elaine

A variety of proofs of the Pythagorean theorem are found at this site. There are also some interesting remarks concerning this theorem:
http://www.cut-the-knot.org/pythagoras/index.shtml

 

For those of you who think that irrational numbers can be written in some (yet unknown) … See the whole entry

Categories Chapter 05, Reference Topics Tags Irrational numbers, Pi, Pythagorean theorem

Reference Topics 5-6

September 6, 2016July 8, 2015 by elaine

The most famous real numbers that are not rational are the numbers pi and e. However there are many interesting constants in mathematics, as described at the following site:
http://sprott.physics.wisc.edu/pickover/trans.html

The number 0, the additive identity, is the subject … See the whole entry

Categories Chapter 05, Reference Topics Tags Pi, Rational Numbers, Zero

Reference Topics 5-7

May 21, 2024July 8, 2015 by elaine

Clock arithmetic and modular arithmetic
http://www.shodor.org/interactivate/discussions/morerem.html

This site gives a nice introduction to modular arithmetic.
http://betterexplained.com/articles/fun-with-modular-arithmetic/

Is there really such a thing as “infinity”?
http://www.math.toronto.edu/mathnet/plain/answers/infinity.html… See the whole entry

Categories Chapter 05, Reference Topics Tags Clock arithmetic, Infinity

Reference Topics 5-8

May 20, 2024July 8, 2015 by elaine

This site makes a transition from the modular arithmetic (of the last section) to writing secret codes (of this section). A Caesar cipher is a secret code in which each letter in the plain text is replaced by a letter … See the whole entry

Categories Chapter 05, Reference Topics Tags Caesar cipher, Cryptography, Decoding, Encoding

Reference Topics 5-1

May 21, 2024July 8, 2015 by elaine

This site (courtesy of Rita B. Sowell) provides practice with the basic properties. It is a bit elementary, but if you have having trouble remembering which property is which, this site might help.
http://www.math.com/school/subject2/lessons/S2U2L1GL.html

Vanishing Leprechaun (along with a solution).… See the whole entry

Categories Chapter 05, Reference Topics Tags Basic properties

History 5-8

May 19, 2024July 8, 2015 by elaine

This is one of the best all around sites that I have found. It is titled “The MacTutor History of Mathematics Archive.”
http://www-history.mcs.st-and.ac.uk/~history

This is an award-winning site that links to all sorts of mathematics information.
https://mathshistory.st-andrews.ac.uk/HistTopics/History_overview… See the whole entry

Categories Chapter 05, History
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