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The Nature of Mathematics – 13th Edition

Individual Research Projects

Individual Research Projects Section 11.2

September 29, 2015July 16, 2015 by elaine

Project 11.5

Karen says that she has heard something about APR rates but doesn’t really know what the term means. Wayne says he thinks it has something to do with the prime rate, but he isn’t sure what. Write a … See the whole entry

Categories Chapter 11, Individual Research Projects Tags Annual percentage rate (APR)

Individual Research Projects Section 11.1

September 29, 2015July 16, 2015 by elaine

Project 11.1

Conduct a survey of banks, savings and loan companies, and credit unions in your area. Prepare a report on the different types of savings accounts available and the interest rates they pay. Include methods of payment as well … See the whole entry

Categories Chapter 11, Individual Research Projects Tags Fibonacci sequence, Interest

Individual Research Projects Section 10.3

September 29, 2015July 15, 2015 by elaine

Project 10.3

Write a paper using population analysis.

To get you started, select five U.S. cities of different sizes. Find the population of these cites in 1980, 1990, 2000, and 2010.

  1. Which city seems to have the greatest growth rate
… See the whole entry
Categories Chapter 10, Individual Research Projects Tags Logarithm

Individual Research Project Section 10.2

September 29, 2015July 15, 2015 by elaine

Project 10.2

Write an essay on earthquakes. In particular, discuss the Richter scale for measuring earthquakes. What is its relationship to logarithms?… See the whole entry

Categories Chapter 10, Individual Research Projects Tags Earthquake, Richter

Individual Research Project Section 10.1

May 21, 2024July 15, 2015 by elaine

Project 10.1

Historical Quest
Write an essay on John Napier. Include what he is famous for today, and what he considered to be his crowning achievement. Also Include a discussion of “Napier’s bones.”

Reference:
https://www.17centurymaths.com/contents/napier/jimsnewstuff/Napiers%20Bones/NapiersBones.html… See the whole entry

Categories Chapter 10, Individual Research Projects Tags Napier

Individual Research Projects Section 9.3

September 29, 2015July 14, 2015 by elaine

Project 9.5

Prepare a classroom demonstration of topology by drawing geometric figures on a piece of rubber inner tube. Demonstrate to the class various ways in which these figures can be distorted.

Project 9.6


The problem shown in the News … See the whole entry

Categories Chapter 09, Individual Research Projects Tags Fractals, Topology, Tree diagram

Individual Research Projects Section 9.2

September 29, 2015July 14, 2015 by elaine

Project 9.3

The German artist Albrech Durer (1471-1528) is not only a Renaissance artist, but also somewhat of a mathematician. Do some research on the mathematics of Durer.

Project 9.4 Celebrate the Millennium

a. Consider the product (1)(2)(3) … (1,998)(1,999)(2,000).  … See the whole entry

Categories Chapter 09, Individual Research Projects Tags Durer

Individual Research Projects Section 9.1

September 29, 2015July 14, 2015 by elaine

Project 9.1

In 1928 Frank Ramsey, an English mathematician, showed that there are patterns implicit in any large structure. The accompanying diagram (which resembles the aestheometric design of Projects 7.2 and 7.3) typifies the problems that Ramsey theory addresses.

89
“How … See the whole entry

Categories Chapter 09, Individual Research Projects Tags Aestheometry, Ramsey theory

Individual Research Projects Section 8.4

September 29, 2015July 14, 2015 by elaine

Project 8.5

Construct models for the regular polyhedra.

References:

H.S.M. Coxeter, Introduction to Geometry (New York: Wiley, 1961).

Jean Pederson, “Plaited Platonic Puzzles,” Two-Year College Mathematics Journal, Fall 1973, pp. 23-27.

Max Sobel and Evan Maletsky, Teaching … See the whole entry

Categories Chapter 08, Individual Research Projects Tags Polyhedra, Radiolaria

Individual Research Projects Section 8.2

September 29, 2015July 14, 2015 by elaine

Project 8.2 A 51-Star Flag

  Recently there has been talk of Puerto Rico becoming the 51st state. If that happens, we will need to have a flag with 51 stars. Design a flag with 51 stars discussing the pros and … See the whole entry

Categories Chapter 08, Individual Research Projects Tags Pythagorean pentad, Pythagorean quartets
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