CURS 4240U Lecture Notes - Cardinality
Document Summary
Tracy walker: teaches estimation, groupings of 10 to get 100, then 1000, ages 5-9, spatial reasoning --> thinking about how one number can be big or small. Depending on size, arrangement and use of the objects being counted: comparing 1000 hairs to 1000 people, 1000 pennies --> how tall someone is --> how heavy someone would be with 1000 pennies vs. nickels. One-on-one correspondence --> using tagging strategies: have to move objects around to touch them. Cardinality --> understanding that the last number in 1-2-3--3, is how many there are, and not just mere memorization. Conservation of numbers --> quantity: knowing that 10 cubes squished up are the same amount stretched out. Abstraction --> size: five elephants vs. five mice. They"ll think 5 elephants are more --> can"t distinguish between them: which has more --> don"t use bigger --> it refers to size rather than amount.
