Some Important Links for MATH 510 Summer 2005

MATH 510 Mathematical Reasoning Home Page

http://faculty.salisbury.edu/~dccathcart/MathReasoning/CourseAbstract.html

MATH 510 Mathematical Reasoning Tentative Syllabus

http://faculty.salisbury.edu/~dccathcart/MathReasoning/ReasoningSyllabusSumm05.html

Tentative Day-by-Day Schedule for Summer 2005

http://faculty.salisbury.edu/~dccathcart/MathReasoning/Schedule05.html

MATH 510 Assignments for Summer 2005

http://faculty.salisbury.edu/~dccathcart/MathReasoning/ReasoningAssignments05.html

Lesson Plan Format for MATH 510 Lessons

http://faculty.salisbury.edu/~dccathcart/MathReasoning/LessonPlanFormat.html

Resource Links for MATH 510

http://faculty.salisbury.edu/~dccathcart/MathReasoning/ReasoningLinks.html

Day 1 Links:

Sample Write-up for Example Problem – Number of Games in a Round-Robin Tournament

http:/faculty.salisbury.edu/~dccathcart/MathReasoning/Tournament.pdf

Shapes & Handshakes - http://www.colorado.edu/education/DMP/activities/iteration_recursion/amsact05.html

Counting Squares –

http://faculty.salisbury.edu/~dccathcart/MathReasoning/SampleLessons/CountSquares/CSLesson.html

Day 2 Links:

Polya’s Problem Solving Process -

http://faculty.salisbury.edu/~dccathcart/MathReasoning/Polya.html

Counting Triangles -

http://faculty.salisbury.edu/~dccathcart/MathReasoning/ClassSessions/session_2.pdf

Figurate Numbers

http://faculty.salisbury.edu/~dccathcart/MathReasoning/ClassSessions/FigurateNumbers.pdf

Day 3 Links:

Surface Area of Cuisenaire Rods

http://faculty.salisbury.edu/~dccathcart/MathReasoning/ClassSessions/CRodActivity.pdf

Peg Game

http://faculty.salisbury.edu/~dccathcart/MATH230/ClassSessions/Shuttle.pdf

Difference Equations

http://faculty.salisbury.edu/~dccathcart/MathReasoning/ClassSessions/DifferenceEquations.pdf

Day 4 Links:

Counting Triangles = Some More Tips

http://faculty.salisbury.edu/~dccathcart/MathReasoning/ClassSessions/TriangleCountTips.pdf

Third Differences – Difference Table

http://faculty.salisbury.edu/~dccathcart/MathReasoning/ClassSessions/ThirdDiff.pdf

Linear, Quadratic, or Cubic? -

http://www.colorado.edu/education/DMP/activities/iteration_recursion/jplact05.html

Two Graph Theory Problems

http://faculty.salisbury.edu/~dccathcart/MathReasoning/ClassSessions/GraphProbs.pdf

Day 5 Links:

Two Graph Theory Problems

http://faculty.salisbury.edu/~dccathcart/MathReasoning/ClassSessions/GraphProbs.pdf

Graph Theory Tutorials

http://www.utm.edu/departments/math/graph/

Tower of Hanoi

http://www.cut-the-knot.org/recurrence/hanoi.shtml

Logic Puzzles

http://www.ex.ac.uk/cimt/mepres/book7/bk7i1/bk7_1i1.htm

Day 6 Links:

Cannibals-Missionary Exercise

http://faculty.salisbury.edu/~dccathcart/MathReasoning/ClassSessions/cannimission.pdf

Logic Unit for Middle School

http://www.nsa.gov/teachers/ms/intdis23.pdf

On-Line Logic Unit

http://people.hofstra.edu/faculty/Stefan_Waner/RealWorld/logic/logicintro.html

Koch Snowflake

http://faculty.salisbury.edu/~dccathcart/MathReasoning/ClassSessions/Koch.pdf

Day 7 Links:

Valid Reasoning

http://faculty.salisbury.edu/~dccathcart/Math210/DiscreteSessions/session6.pdf

On-Line Logic Unit

http://people.hofstra.edu/faculty/Stefan_Waner/RealWorld/logic/logicintro.html

A Proof by Contradiction

http://faculty.salisbury.edu/~dccathcart/MathReasoning/ClassSessions/root5.pdf