Quantitative Literacy: Future Directions Aug 4, 2016 Schield: Q/L and - PDF document

Quantitative Literacy: Future Directions Aug 4, 2016 Schield: Q/L and Statistical Literacy Connecting Quantitative Literacy with Statistical Literacy — Quantitative Literacy at the Milo Schield: Lynn took a radical approach to Q/L Post-Secondary Level: Future Numeracy is largely an approach to thinking about issues that Directions in Research employs and enhances both statistics (the science of data) and mathematics (the science of patterns). MathFest 2016—Columbus, Ohio Yet unlike statistics, which is primarily about uncertainty, Organizer: Luke Tunstall, Michigan State University numeracy is often about the logic of certainty . And unlike Panelists: mathematics, which is primarily about the Platonic realm of • Semra Kilic-Bahi, Colby-Sawyer College abstract structures, numeracy often is anchored in data • Catherine Crockett, Point Loma Nazarene University • Gregory D. Foley, Ohio University derived from and attached to the empirical world .“ • Victor Piercey, Ferris State University • Milo Schield, Augsburg College Steen (2003) Quantitative Literacy Connecting Quantitative Literacy with Statistical Literacy — Connecting Quantitative Literacy with Statistical Literacy — Milo Schield: Dick saw statistics as central to Q/L. Milo Schield: What is relationship between Q/L & statistics? QL & Statistical Literacy need each other. "… a very large part of QL is statistics..." p.147 • QL > QR. QL: Connect math with numbers in the media "one way to garner administrative support [for QL across the Arguments for similarity or convergence: curriculum] and foster institutional change is to tie much of QL to • 2016 GAISE Update features multivariate thinking in Intro Stat course. the statistics curriculum, everywhere it is housed.“ p.149 • Statistics textbook authors & Big Data are focusing less on inference. " … statisticians would probably argue that QL is mainly statistics Arguments for separation or divergence • Causation is not a mathematical concept. while mathematicians and mathematics educators tend to argue that • Statistical confounder > a mathematical co-variate. QL is only partly statistics. p. 151 • Statistics are numbers in context. Numbers are statistics minus context. Richard Scheaffer in Steen (2003) Quantitative Literacy. Basic Issue: Does QL include (feature) data in context? Milo: What are your thoughts on the sufficiency of a statistics course Schield’s slides are available at: for satisfying a student’s quantitative general education requirement? Is www.StatLit.org/pdf/2016-Schield-MathFest-Slides.pdf it sufficient? Should it be required? Is a traditional research intro statistics course sufficient for quantitative Gen-Ed? No. Required in list? OK. Required exclusively? No Is a GAISE 2016 intro statistics course sufficient for quantitative Gen- Audio of Schield’s presentation (5 minutes) is available at: Ed? Maybe. Required in list? OK. Required exclusively? Maybe www.StatLit.org/audio/2016-Schield-MathFest-Audio.mp3 Is a Statistical Literacy intro statistics course sufficient for quantitative Gen-Ed? Yes. Required in list? OK. Required exclusively? Yes www.StatLit.org/pdf/2016 ‐ Schield ‐ MathFest ‐ Slides.pdf 1

Quantitative Literacy: Future Directions Aug 4, 2016 Schield: Q/L and Statistical Literacy Quantitative Literacy at the Post-Secondary Level: Future Directions in Research MathFest 2016—Columbus, Ohio Organizer: Luke Tunstall, Michigan State University Panelists: • Semra Kilic-Bahi, Colby-Sawyer College • Catherine Crockett, Point Loma Nazarene University • Gregory D. Foley, Ohio University • Victor Piercey, Ferris State University • Milo Schield, Augsburg College www.StatLit.org/pdf/2016 ‐ Schield ‐ MathFest ‐ Slides.pdf 1

Quantitative Literacy: Future Directions Aug 4, 2016 Schield: Q/L and Statistical Literacy Connecting Quantitative Literacy with Statistical Literacy — Milo Schield: Lynn took a radical approach to Q/L Numeracy is largely an approach to thinking about issues that employs and enhances both statistics (the science of data) and mathematics (the science of patterns). Yet unlike statistics, which is primarily about uncertainty, numeracy is often about the logic of certainty . And unlike mathematics, which is primarily about the Platonic realm of abstract structures, numeracy often is anchored in data derived from and attached to the empirical world .“ Steen (2003) Quantitative Literacy www.StatLit.org/pdf/2016 ‐ Schield ‐ MathFest ‐ Slides.pdf 2

Quantitative Literacy: Future Directions Aug 4, 2016 Schield: Q/L and Statistical Literacy Connecting Quantitative Literacy with Statistical Literacy — Milo Schield: Dick saw statistics as central to Q/L. "… a very large part of QL is statistics..." p.147 "one way to garner administrative support [for QL across the curriculum] and foster institutional change is to tie much of QL to the statistics curriculum, everywhere it is housed.“ p.149 " … statisticians would probably argue that QL is mainly statistics while mathematicians and mathematics educators tend to argue that QL is only partly statistics. p. 151 Richard Scheaffer in Steen (2003) Quantitative Literacy. www.StatLit.org/pdf/2016 ‐ Schield ‐ MathFest ‐ Slides.pdf 3

Quantitative Literacy: Future Directions Aug 4, 2016 Schield: Q/L and Statistical Literacy Connecting Quantitative Literacy with Statistical Literacy — Milo Schield: What is relationship between Q/L & statistics? QL & Statistical Literacy need each other. • QL > QR. QL: Connect math with numbers in the media Arguments for similarity or convergence: • 2016 GAISE Update features multivariate thinking in Intro Stat course. • Statistics textbook authors & Big Data are focusing less on inference. Arguments for separation or divergence • Causation is not a mathematical concept. • Statistical confounder > a mathematical co-variate. • Statistics are numbers in context. Numbers are statistics minus context. Basic Issue: Does QL include (feature) data in context? www.StatLit.org/pdf/2016 ‐ Schield ‐ MathFest ‐ Slides.pdf 4

Quantitative Literacy: Future Directions Aug 4, 2016 Schield: Q/L and Statistical Literacy Milo: What are your thoughts on the sufficiency of a statistics course for satisfying a student’s quantitative general education requirement? Is it sufficient? Should it be required? Is a traditional research intro statistics course sufficient for quantitative Gen-Ed? No. Required in list? OK. Required exclusively? No Is a GAISE 2016 intro statistics course sufficient for quantitative Gen- Ed? Maybe. Required in list? OK. Required exclusively? Maybe Is a Statistical Literacy intro statistics course sufficient for quantitative Gen-Ed? Yes. Required in list? OK. Required exclusively? Yes www.StatLit.org/pdf/2016 ‐ Schield ‐ MathFest ‐ Slides.pdf 5

Quantitative Literacy: Future Directions Aug 4, 2016 Schield: Q/L and Statistical Literacy Schield’s slides are available at: www.StatLit.org/pdf/2016-Schield-MathFest-Slides.pdf Audio of Schield’s presentation (5 minutes) is available at: www.StatLit.org/audio/2016-Schield-MathFest-Audio.mp3 www.StatLit.org/pdf/2016 ‐ Schield ‐ MathFest ‐ Slides.pdf 6