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Child Psychologist

Real-Life Activities

Real-Life Math -- Solution

You are a child psychologist who is assessing and helping Melissa, who is having difficulty grasping math concepts. You create a series of math questions for her to answer so that you can evaluate her work. First you have to solve the questions yourself:

  1. If you have a 2-cup measuring cup, would it hold the shortening, the butter, the milk and the cherry juice for both recipes?

    1/2 cup shortening
    1/3 cup butter
    3/4 cup milk
    1/4 cup cherry juice

    In order to figure this question out, you have to create a common denominator for the measurements. A common denominator for 2, 3 and 4 is 12.

    1/2 cup shortening
    denominator: 2 x 6 = 12
    numerator: 1 x 6 = 6
    fraction: 6/12
    1/3 cup butter
    denominator: 3 x 4 = 12
    numerator: 1 x 4 = 4
    fraction: 4/12
    3/4 cup milk
    denominator: 4 x 3 = 12
    numerator: 3 x 3 = 9
    fraction: 9/12
    1/4 cup cherry juice
    denominator: 4 x 3 = 12
    numerator: 1 x 3 = 12
    fraction: 3/12
    Add the fractions:
    6/12 + 4/12 + 9/12 + 3/12 = 22/12

    You know that 1 cup equals 12/12, and 2 cups equals 24/12. So yes, the ingredients will fit in a 2-cup measuring cup.

  2. How much would spill over the 2-cup mark? If the answer is negative, find out how much would be left below the 2-cup mark.
    Subtract the amount of ingredients from the 24/12
    24/12 - 22/12 = 2/12

    There will still be 2/12 (1/6) cups worth of room in the measuring cup.

"We don't use calculus in psychology, but we do use mathematical concepts and algebraic equations," says psychologist David Day. "And, absolutely, numeracy is important in university.

"You need to learn statistics as a psychologist, which is an application of math," Day adds. "So you don't need to know the math, but you need to know statistics, so... it helps to have some math in your background. But even if you don't have math in your background, don't be math phobic. Don't fear the math."


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