STEAM ELECTIVE – A PBL Experience
Name of Unit:
ELA and Logical Reasoning
Van Gombos / Noecker
Day of Instruction:
8/31 – 9/21 – 11/2 – 12/7 – 2/1 – 2/22 – 3/15 – 4/26
Project Idea – Summary of the issue, challenge, investigation, scenario or problem:
In 1887 Lewis Carroll (of Alice in Wonderland fame) wrote The Game of Logic. Ten years later he wrote the seminal (seriously awesome) text Symbolic Logic which remains required reading for advanced mathematicians today. In this text he played with something called syllogisms.
A syllogism can relate to anything if it's constructed as an argument in which if X is Y; and if Y is Z; then X must be Z. This kind of reasoning is called deductive; two premises support a logical conclusion. Deductive reasoning is used in expository, persuasive, and argumentative writing. Deductive reasoning is a tool used by Arthur Conan Doyle’s famous Sherlock Holmes character who is extremely popular again.
Here's an example of a syllogism:
Clue 1: Only someone with proper training should fly airplanes.
Clue 2: Charles Lindbergh has the proper training.
THEREFORE, Charles Lindbergh should be allowed to fly an airplane.
For those of you who love to do Sudoku as much as I do, you will recognize the syllogisms in the puzzle:
Clue 1: Number 1 must be in row 1, 2 or 3
Clue 2: Number 1 must be in column A, B, or C
Clue 3: Number 1 is in columns B and C
Clue 4: Number 1 is in row 2 and 3
THEREFORE - Number 1 is in row 1 column A
The game aspect of this kind of thinking is clear. You will solve mystery crimes using
- syllogisms in multiple logic puzzles
- critical reading in text
- deductive clues from witnesses and maps
Each puzzle will have a clear expert sleuth. As each puzzle is solved, the solution is used as the clue for the next puzzle. At the conclusion of the mystery crime the winner will be given a prize!!!
Who done it?
1.How do I use an if/then, deductive reasoning model to solve a problem?
2.How do I organize my thinking in order to come to a reasoned logical conclusion that can be proved?