Site map

About the creation of this MATtours site

Navigation window

The site is organized around 15 launch problems.

Choosing a problem from the drop-down menu at the top the the Navigation window gives you the Navigation window for that launch problem.

Click on the headings in the Navigation window to investigate the problem.

Graph theory

• Sly Spy—Spanning trees
  
• Robot Ttracks—Planar graphs
  
• Lining Streets—Eulerian graphs
  
• Knight's Tour—Hamiltonian graphs
  
• One Way, Which Way—Directed graphs
  
• Pedestrian Path—Weighted graphs
  
• Planning a Dance—Critical Path Method

Combinatorics

• School IDs—Fundamental Counting Principle and permutations
• Sitting Around—Counting with repetition
• Ice Cream—Combinations
• Drawing Spoons—Mixtures of counting techniques
• Bad Hair, Bad Pair—Inclusion, exclusion

Recursion

• Modeling Moose—Recursive functions
• Strange Strain Farm—Numerical recursive patterns
• Collection Connection—Geometric/graph-theory recursive patterns

• Gallery of graphs and algorithms, a collection of graphs that can be imported into the GrafPad^TM and algorithms that can be imported into the Stepper^TM.

• Teaching, suggestions for teaching this material to high school students

  Launch problem
  Model the problem
  Explore and conceptualize
  Summarize
  Generalize and abstract
  Critique

• Mathematical investigations, a description of the process of investigating a problem

  A problem
  Analysis
  Critique

• Glossary