Page 316 - Keys to College Success
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Math Is a Life Tool

               You use aspects of quantitative thinking—thinking with numbers—every day, includ-
               ing arithmetic calculations for your checking account, geometrical thinking
               for how to pack items into the trunk of your car, figuring ratios for
               allowable deductions on a tax return, and so on. When you are com-
               fortable with basic quantitative skills such as the following, you can
               face any numerical life challenge that comes your way.

               Arithmetic.  Many everyday tasks, especially those involving money,
               require arithmetic (numerical computations such as addition, subtraction,
               multiplication, and division, plus the use of fractions and percentages). You are
               using arithmetic when you calculate how much tuition you can cover in a semester
               or figure out what to tip in a restaurant. You also use arithmetic when you examine
               ingredient percentages on food labels in the effort to improve your health.

               Algebra.  A knowledge of algebra—a generalization of arithmetic in which letters rep-
               resenting unknown quantities are combined, often with other numbers, into equations
               according to mathematical rules—is needed almost as frequently as arithmetic. Algebra
               involves determining an unknown value using known values.You use algebra when you
               figure the interest on a loan or compute what an item costs when the store offers 20%
               off the price.

               Geometry.  The most common uses of geometry—the mathematics of the properties,
               measurement, and relationships of points, lines, angles, surfaces, and solids—occur in
               determining areas and volumes. Figuring out how much flooring, carpet, or wallpa-
               per you need for a room requires the ability to calculate the size of the area being
               covered. You also use  geometric principles without even thinking about it when, for
               example, you determine how closely you can pass a car or pack a suitcase so that it
               can close.

               Probability and statistics.  A knowledge of basic probability (the study of the chance
               that a given event will occur) and statistics (collection, analysis, and interpretation of               Mathematical and Financial Literacy
               numerical data) is needed for understanding the relevance and importance of the over-
               whelming amount of statistical information you encounter. For example, a woman’s
               knowledge of probability can help her determine her risk of getting breast cancer; a
               student’s  understanding  of  statistics  can  help  him  analyze  his  chances  of  getting
               accepted at a particular graduate school.
               Sciences.  Biology, anatomy, and other sciences directly related to the human body can
               help you to better manage your health through a greater understanding of how your
               body works. Chemistry can help you figure out how to substitute ingredients in a rec-
               ipe or become aware of possible interactions between medications you are taking.


               Math Is a Problem-Solving Training Ground
               Math and science are relevant to any academic subject because they promote problem
               solving and thinking skill. When your brain moves from mathematical questions to
               solutions, you build the kind of critical thinking necessary to think through any type of
               problem, from reconciling different perspectives in a philosophy course to examining
               the causes of a historical event.
                   Statistics is one particularly useful area when it comes to building universally appli-
               cable problem-solving and decision-making abilities. “Statistical reasoning supports deci-
               sion making under conditions of uncertainty, an inescapable condition of modern life. This
               is math that will help . . . students understand the world around them, and it’s math they
               can use right now,” says the president and senior partner of the Carnegie Foundation. 1


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