What is Logic?
In the United States, formal training in logic is often limited to writing formal proofs in high school geometry classes. Yet, logic can easily be introduced to younger students through fun games and puzzles. Logic through Binary Puzzles The key to teaching students logic through games and puzzles is to train them to consistently explain “why” they are able to make each of their moves. I train them to precede each move with a statement in the form of: “I know ________________ because ______________________.” Students are not allowed to make moves if they “think” something is true or if something “could” be true. I always start with Binary Puzzles because the rules are very simple. Each puzzle is a square array with some cells containing 1s or 0s. The goal is to fill in the empty cells using the following rules: In order to discuss our example puzzle, we will label each column and row so we can easily identify each cell. So in the example below, there is a 1 in cell Aa and a 0 in cell Bd. Notice how this statement is supported by one of the rules. Look at the updated puzzle. What other cells can you find based on the rules of the puzzle? You should be able to make the following statements:
Update the puzzle for each of these statements then use the additional information to try to fill in more spaces. Based on this updated puzzle you should be able to make the following statements:
“I know that cells Db and Ef contain 1s BECAUSE rule #2 says that each column must have the same number of 1s as 0s and there are already three 0s in those columns.” “I know that cell Dd contains a 0 BECAUSE rule #2 says that each column must have the same number of 1s as 0s and there are already three 1s in column d.” After filling in these cells, you should be able to easily finish the puzzle. Review each rule to make sure that your puzzle is correct:
Did you like this puzzle? Download more binary puzzles! (Set B) Binary Puzzles (6 x 6)
$1.00
Binary Puzzles are the perfect introduction to logic. Students only need to know how to count to three to complete these logic puzzles! Each puzzle is a square array with cells containing 1s and 0s. Fill in the empty cells using the following rules:
Each puzzle pack contains 20 puzzles and step-by-step directions. (Set A) Binary Puzzles (6 x 6)
$1.00
Binary Puzzles are the perfect introduction to logic. Students only need to know how to count to three to complete these logic puzzles! Each puzzle is a square array with cells containing 1s and 0s. Fill in the empty cells using the following rules:
Each puzzle pack contains 20 puzzles and step-by-step directions. (Set A) Binary Puzzles (8 x 8)
$1.00
Binary Puzzles are the perfect introduction to logic. Students only need to know how to count to three to complete these logic puzzles! Each puzzle is a square array with cells containing 1s and 0s. Fill in the empty cells using the following rules:
Each puzzle pack contains 9 puzzles and step-by-step directions. (Set B) Binary Puzzles (8 x 8)
$1.00
Binary Puzzles are the perfect introduction to logic. Students only need to know how to count to three to complete these logic puzzles! Each puzzle is a square array with cells containing 1s and 0s. Fill in the empty cells using the following rules:
Each puzzle pack contains 9 "8x8" puzzles and step-by-step directions. (Set A) Binary Puzzles (10 x 10)
$1.00
Binary Puzzles are the perfect introduction to logic. Students only need to know how to count to three to complete these logic puzzles! Each puzzle is a square array with cells containing 1s and 0s. Fill in the empty cells using the following rules:
Each puzzle pack contains 5 "10x10" puzzles and step-by-step directions. (Set B) Binary Puzzles (10 x 10)
$1.00
Binary Puzzles are the perfect introduction to logic. Students only need to know how to count to three to complete these logic puzzles! Each puzzle is a square array with cells containing 1s and 0s. Fill in the empty cells using the following rules:
Each puzzle pack contains 5 "10x10" puzzles and step-by-step directions. |
Rita VoitRita Voit is the founder of HEROES Academy for the Gifted. Archives
August 2018
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