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For Example: Try This In an empty room are a candle, some matches, and a box of tacks. The goal is to have the lit candle about five feet off the ground. You’ve tried melting some of the wax on the bottom of the candle and sticking it to the wall, but it wasn’t effective. How can you get the lit candle five feet off the ground without having to hold it there?
If we’re so bad at thinking, How do we get through the day?
Why are many people fascinated by the problem on the left, but very few will work on the one of the right? Fill the 9 X 9 Grid so each column and row contain the digits 1-9 Prove that the midpoint of the hypotenuse of a right triangle is equidistant from the vertices of the triangle
How Thinking Works Environment WORKING MEMORY (site of awareness and thinking) LONG TERM MEMORY (factual knowledge and procedural knowledge?
For Example: 18 x 7 LONG TERM MEMORY Environment WORKING MEMORY (rules, board with current position, etc) Multiply 8 and 7 Retrieve the fact that 8x7=56 from long term memory Remember that 6 is part of the solution, then carry 5 Multiply 7 and 1 Retrieve fact: 7x1=7 Add carried 5 to 7 Retrieve 5+7=12 Put 12 down, append the 6 Answer: 126
Successful thinking relies on: Information from the environment Facts in the long-term memory Procedures in long-term memory And the amount of space in the working memory. If any of these factors is inadequate, thinking will likely fail.
Background Information Daniel Willingham is a cognitive scientist who explores some key questions about education. This presentation deals with the question “Why don’t students like school?” – Chapter 1 in the book. All images are part of the creative commons and used accordingly.