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Use, Mis-Use, and Missed Use of Quantitative Reasoning in Student Writing Nathan D. Grawe Carleton College With support from the US Department of Education’s.

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Presentation on theme: "Use, Mis-Use, and Missed Use of Quantitative Reasoning in Student Writing Nathan D. Grawe Carleton College With support from the US Department of Education’s."— Presentation transcript:

1 Use, Mis-Use, and Missed Use of Quantitative Reasoning in Student Writing Nathan D. Grawe Carleton College With support from the US Department of Education’s Fund for the Improvement of Post-Secondary Education, the National Science Foundation, and the WM Keck Foundation.

2 What is QR?

3 The habit of mind to consider the power and limitations of numerical evidence to address problems in public, professional, and personal life.

4 What is QR? Four facets of QR: 1) QR requires a basic skill set

5 What is QR? Four facets of QR: 1) QR requires a basic skill set 2) QR demands application in context

6 What is QR? Four facets of QR: 1) QR requires a basic skill set 2) QR demands application in context 3) QR involves communication

7 What is QR? Four facets of QR: 1) QR requires a basic skill set 2) QR demands application in context 3) QR involves communication “Deploying numbers skillfully is as important to communication as deploying verbs.” -Max Frankel, The New York Times Magazine

8 What is QR? Four facets of QR: 1) QR requires a basic skill set 2) QR demands application in context 3) QR involves communication “Numbers [are] the principal language of public argument.” -BBC Program More or Less

9 What is QR? Four facets of QR: 1) QR requires a basic skill set 2) QR demands application in context 3) QR involves communication 4) QR is a habit of mind “[QR] is not a discipline but a way of thinking….” -Lynn Steen Achieving Quantitative Literacy

10 What is QR? “…sophisticated reasoning with elementary mathematics more than elementary reasoning with sophisticated mathematics.” -Lynn Steen Achieving Quantitative Literacy

11 10 Foundational Questions

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20 Fact: Those who work with computers earn 15-20% more than others.

21 10 Foundational Questions Other interesting returns: Calculator = 12.8% Telephone = 11.4% Pencil/Pen = 11.2% Work while sitting = 10.1%

22 10 Foundational Questions

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26 Carleton’s QuIRK Initiative Situate QR in the context of argument Situate QR in the context of argument Look for evidence of QR proficiency in student papers Look for evidence of QR proficiency in student papers

27 Carleton’s QuIRK Initiative Situate QR in the context of argument Situate QR in the context of argument Look for evidence of QR proficiency in student papers Look for evidence of QR proficiency in student papers So what are our students doing with QR? So what are our students doing with QR?

28 Our Population: The College Writing Portfolio Sophomore Writing Portfolio 3-5 papers plus reflective essay written in 2 of the 4 college divisions -observation-analysis-interpretation -documented sources -thesis-driven argument

29 Two Types of QR Use in Student Papers Central Use: Use of numbers to address a central question, issue, or theme

30 Two Types of QR Use in Student Papers Central Use: Use of numbers to address a central question, issue, or theme Peripheral Use: Use of numbers to provide useful detail, enrich descriptions, present background, or establish frames of reference

31 Two Types of QR Use in Student Papers The importance of the periphery: “Even for works that are not inherently quantitative, one or two numeric facts can help convey the importance or context of your topic.” -Jane Miller -Jane Miller The Chicago Guide to Writing About Numbers

32 Evidence from Student Writing Excerpt #: 1 Title: “Modeling the Implicit Learning of Language Acquisition” Thesis: Even if people aren’t aware of the systems undergirding our language, they implicitly learn the system through experience.

33 Evidence from Student Writing Excerpt #: 1 Discussion includes: Critical analysis of effect size Critical analysis of effect size Information on central tendency (mean and mode) Information on central tendency (mean and mode) Information on extreme scores Information on extreme scores

34 Evidence from Student Writing Excerpt #: 2 Title: Untitled Thesis: An analysis of the student’s own time allocation informs a particularly theoretical understanding of the sociological conception of “affluence.”

35 Evidence from Student Writing Excerpt #: 2 Where are the numbers?! Where is the richness of analysis that such a dataset affords?

36 Evidence from Student Writing Excerpt #: 3 Title: Untitled Thesis: A synthesis of 3 alternative views on poverty provides a more complete picture than any 1 perspective alone.

37 Evidence from Student Writing Excerpt #: 3 Student recognizes the utility of numerical claims—but doesn’t see the power of the actual numbers. “extremes of the very wealthy, the very poor…” “highly industrialized…” “patterns of distribution…that we have never seen”

38 Evidence from Student Writing Excerpt #: 4 Title: “Les Banlieues d’Islam” Thesis: French Muslims struggle to find an acceptable identity. A new “Euro-Islam” may address these complex political and social challenges.

39 Evidence from Student Writing Excerpt #: 4 Uses of data: Counts Counts Ratios Ratios Percentages Percentages

40 References ABC News. February 21, 2007. “Do Libras Live Longer?” (http://abcnews.go.com/Technology/story?id=2890150&page=1) ABC News. February 21, 2007. “Do Libras Live Longer?” (http://abcnews.go.com/Technology/story?id=2890150&page=1) Bialik, Carl. November 2006. “The Numbers Guy: Grading the Pollsters.” Wall Street Journal (http://www.mason- dixon.com/public/index.cfm?FuseAction=PressOffice.Article&ContentRecord_id=f1e66ca1- 1372-fa49-99bd-58f6c5a4e505). Bialik, Carl. November 2006. “The Numbers Guy: Grading the Pollsters.” Wall Street Journal (http://www.mason- dixon.com/public/index.cfm?FuseAction=PressOffice.Article&ContentRecord_id=f1e66ca1- 1372-fa49-99bd-58f6c5a4e505). Brakke, David F. 2003. "Addressing Societal and Workforce Needs," in Quantitative Literacy: Why Numeracy Matters for Schools and Colleges, Bernard L. Madison and Lynn Arthur Steen, eds. Princeton, NJ: National Council on Education and the Disciplines. Brakke, David F. 2003. "Addressing Societal and Workforce Needs," in Quantitative Literacy: Why Numeracy Matters for Schools and Colleges, Bernard L. Madison and Lynn Arthur Steen, eds. Princeton, NJ: National Council on Education and the Disciplines. De Lange, Jan. 2001. "Mathematics for Literacy" in Mathematics and Democracy: The Case for Quantitative Literacy, Lynn Arthur Steen, ed. Princeton, NJ: National Council on Education and the Disciplines. De Lange, Jan. 2001. "Mathematics for Literacy" in Mathematics and Democracy: The Case for Quantitative Literacy, Lynn Arthur Steen, ed. Princeton, NJ: National Council on Education and the Disciplines. Fishman, Charles. 2006. The Wal-Mart Effect. New York: The Penguin Press. Fishman, Charles. 2006. The Wal-Mart Effect. New York: The Penguin Press. Frankel, Max. 1995. “Word and Image; Innumercy,” New York Times, March 5. Frankel, Max. 1995. “Word and Image; Innumercy,” New York Times, March 5. Hughes Hallett, Deborah J. 2001. "The Role of Mathematics Courses in the Development of Quantitative Literacy" in Mathematics and Democracy: The Case for Quantitative Literacy, Lynn Arthur Steen, ed. Princeton, NJ: National Council on Education and the Disciplines. Hughes Hallett, Deborah J. 2001. "The Role of Mathematics Courses in the Development of Quantitative Literacy" in Mathematics and Democracy: The Case for Quantitative Literacy, Lynn Arthur Steen, ed. Princeton, NJ: National Council on Education and the Disciplines. Miller, Jane E. 2004. The Chicago Guide to Writing about Numbers. Chicago: University of Chicago Press. Miller, Jane E. 2004. The Chicago Guide to Writing about Numbers. Chicago: University of Chicago Press. More or Less, British Broadcasting Corporation radio program. Retrieved April 27, 2007, from http://news.bbc.co.uk/2/hi/programmes/more_or_less/1628489.stm. More or Less, British Broadcasting Corporation radio program. Retrieved April 27, 2007, from http://news.bbc.co.uk/2/hi/programmes/more_or_less/1628489.stm.

41 References (Cont.) National Council on Education and the Disciplines. 2001. Mathematics and Democracy: The Case for Quantitative Literacy. Washington DC: Mathematical Association of America. National Council on Education and the Disciplines. 2001. Mathematics and Democracy: The Case for Quantitative Literacy. Washington DC: Mathematical Association of America. Newsweek. November 21, 2005. “How to Beat the Big Energy Chill.” (http://www.newsweek.com/id/51208) Newsweek. November 21, 2005. “How to Beat the Big Energy Chill.” (http://www.newsweek.com/id/51208) Newsweek. August 6, 2007. “When Medical Studies Collide: Contradictory Reports? Meta- Analysis May Make Things More Confusing.” Newsweek. August 6, 2007. “When Medical Studies Collide: Contradictory Reports? Meta- Analysis May Make Things More Confusing.” Nurnberg, H. George; Paula L. Hensley; Julia R. Heiman; Harry A. Croft; Charles Debattista; and Susan Paine. 2008. “Sildenafil Treatment of Women with Antidepressant-Associated Sexual Dysfunction.” Journal of the American Medical Association, 300(4): 395-404. Nurnberg, H. George; Paula L. Hensley; Julia R. Heiman; Harry A. Croft; Charles Debattista; and Susan Paine. 2008. “Sildenafil Treatment of Women with Antidepressant-Associated Sexual Dysfunction.” Journal of the American Medical Association, 300(4): 395-404. (http://www.businessweek.com/magazine/content/07_32/b4045052.htm) (http://www.businessweek.com/magazine/content/07_32/b4045052.htm) Reuters. November 26, 2007. “New Poll Shows Clinton Trails Top 2008 Republicans.” (http://www.reuters.com/article/politicsNews/idUSN2645320920071126) Reuters. November 26, 2007. “New Poll Shows Clinton Trails Top 2008 Republicans.” (http://www.reuters.com/article/politicsNews/idUSN2645320920071126) Shafer, Jack. 2005. “Weasel Words Rip My Flesh! Spotting a Bogus Trend Story on Page One of Today’s New York Times,” Slate, September 20. Shafer, Jack. 2005. “Weasel Words Rip My Flesh! Spotting a Bogus Trend Story on Page One of Today’s New York Times,” Slate, September 20. Steen, Lynn Arthur. 2004. Achieving Quantitative Literacy: An Urgent Challenge for Higher Education. Washington, DC: Mathematical Association of America. Steen, Lynn Arthur. 2004. Achieving Quantitative Literacy: An Urgent Challenge for Higher Education. Washington, DC: Mathematical Association of America. Story, Louise. September 20, 2005. “Many Women at Elite Colleges Set Career Path the Motherhood.” New York Times. Story, Louise. September 20, 2005. “Many Women at Elite Colleges Set Career Path the Motherhood.” New York Times. Wallis, Claudia. 2007. “Is the Autism Epidemic a Myth,” Time, January 12. Wallis, Claudia. 2007. “Is the Autism Epidemic a Myth,” Time, January 12. WCCO. 2007. “Report: Indians Denied Home Loans More Often,” December 30. WCCO. 2007. “Report: Indians Denied Home Loans More Often,” December 30. Wiggins, Grant. 2001. "'Get Real!': Assessing for Quantitative Literacy" in Mathematics and Democracy: The Case for Quantitative Literacy, Lynn Arthur Steen, ed. Princeton, NJ: National Council on Education and the Disciplines. Wiggins, Grant. 2001. "'Get Real!': Assessing for Quantitative Literacy" in Mathematics and Democracy: The Case for Quantitative Literacy, Lynn Arthur Steen, ed. Princeton, NJ: National Council on Education and the Disciplines.


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