Quantitative Literacy ?Quantitative Reasoning

1. Quantitative Literacy?Quantitative Reasoning William L. Briggs University of Colorado at Denver SIAM Teachers Day July, 2004 wbriggs@math.cudenver.edu http://www-math.cudenver.edu/~wbriggs

2. Mathematics Enrollments in 2-Year Colleges

3. Quantitative Literacy an aggregate of skills, knowledge, beliefs, dispositions, habits of mind, communication capabilities, and problem solving skills that people need in order to engage effectively in quantitative situations arising in life and work. International Life Skills Survey

4. Quantitative Literacy confidence in mathematics, cultural appreciation, interpreting data, logical thinking, making decisions, mathematics in context, number sense, practical skills, prerequisite knowledge, symbol sense. Lynn Steen

5. Quantitative Literacy Beyond arithmetic and geometry, quantitative literacy also requires logic, data analysis, and probability.... It enables individuals to analyze evidence, to read graphs, to understand logical arguments, to detect logical fallacies, to understand evidence, and to evaluate risks. Quantitative literacy means knowing how to reason and how to think. Gina Kolata

6. Mathematics for ... ? College Core requirements Natural and social sciences courses Pre-service teachers. ? Careers Broad cross-disciplinary critical thinking Real world problem solving Explanation and presentation ? Life Personal issues: finance, taxes, investments, gambling Citizenship issues: economy, health, environment, voting

7. Applied Math Map Business Management Social Sciences Arts and Music Economics Political Science Mathematics Statistics Medicine Public Health Physics Chemistry Engineering Biology Ecology Computer Science Artificial Intelligence

8. Content Areas 1. Critical thinking, logic, problem solving Informal fallacies Formal fallacies Argument analysis Organized, multi-step thinking

9. Content Areas 2. Number sense and estimation Number perspective Numbers in the news Units Uses and abuses of percentages

10. Content Areas 3.Statistical reasoning and probability Surveys and statistical studies Interpreting graphs Causality Data analysis

11. Content Areas 4. Linear and exponential growth ?? a. The price of movies increases at a rate of $0.75 per year. ?? b. The cost of living increases at a rate of 3% per year.

12. Content Areas 5. Everything else Financial matters Mathematics and the arts Graph (network) theory Voting Apportionment Federal budget Energy

13. Multiple example slides here

14. Annie Dillard From The Wreck of Time, by Annie Dillard One tenth of the land on earth is tundra. At any time, it is raining on only 5 percent of the planet?s surface. Lightning strikes the planet about a hundred times every second. The insects outweigh us. Our chickens outnumber us four to one. One fifth of us are Muslims. One fifth of us live in China. And every seventh person is a Chinese peasant. Almost one tenth of us live within range of an active volcano. More than 2 percent of us are mentally retarded. We humans drink tea ? over a billion cups a day. Among us we speak 10,000 languages.

15. Annie Dillard Annie Dillard, The Wreck of Time Every 110 hours a million more humans arrive on the planet than die into the planet. A hundred million of us are children who live on the streets. Over a hundred million of us live in countries where we have no citizenship. Twenty-three million of us are refugees.? Sixteen million of us live in Cairo. Nearly a thousand of us a day commit suicide.

16. Annie Dillard Annie Dillard, The Wreck of Time HEAD-SPINNING NUMBERS CAUSE MIND TO GO SLACK, the Hartford Courant says. But our minds must not go slack. How can we think straight if our minds go slack? We agree that we want to think straight.