## Chapter 1 Individual Research Projects

### Project 1.1

Find some puzzles, tricks, or magic stunts that are based on mathematics. Write a paper describing the tricks and also indicate why they work.

References:

William Schaaf,
A Bibliography of Recreational MathematicsSee the whole entry

## Individual Research Project Section 17.4

### Individual Research Project 17.4

Compare and contrast the apportionment paradoxes. Which one of these do you find the most disturbing, and why? Which one of these do you find the least disturbing, and why?… See the whole entry

## Individual Research Project Section 17.3

### Project 17.3

Compare and contrast the different apportionment plans. Which one do you think is best? Support your position with examples and facts.… See the whole entry

## Individual Research Project Section 17.2

### Project 17.2

Compare and contrast the voting paradoxes. Which one do you find the most disturbing, and why? Which do you find the least disturbing, and why?… See the whole entry

## Individual Research Project Section 17.1

### Project 17.1

Research how voting is conducted for the following events. Use the terminology of this chapter, not the terminology used in the original sources.

1. Heisman Trophy Award
2. Selecting an Olympic host city
4. The Nobel Prizes
5. The
See the whole entry

## Individual Research Projects Section 16.5

### Project 16.3 What In the World?

“I think I’m going crazy, Bill,” said George.  “I can’t figure out a good rating system for the state league.  I’ve got over a hundred teams and I need to come up with a … See the whole entry

## Individual Research Project Section 16.2

### Project 16.2

Five identical containers (shoe boxes, paper cups, etc.) must be prepared for this problem, with contents as follows:

There are five boxes containing red and white items (such as marbles, poker chips, or colored slips of paper).

 Box
See the whole entry

## Individual Research Project Section16.1

### Project 16.1 Historical Quest

In the Boston Museum of Fine arts is a display of carefully made stone cubes found in the ruins of Mohenjo-Daro of the Indus. The stones are a set of weights that exhibit the binary pattern, … See the whole entry

## Individual Research Projects Section 15.4

### Project 15.4

Ships at sea locate their positions using the Long Range Navigation system known as LORAN. In this system, a master station sends signals that can be received by ships at sea. To fix the position of a particular … See the whole entry

## Individual Research Projects Section 15.3

### Project 15.2

The population in California was 33,871,648 in January 2000, and 37,253,856 in January 2014. Predict California’s population in the year 2020.

### Project 15.3

The population in Sebastopol, California was 7,774 in January 2000, and 7,598 in January 2013. … See the whole entry