Non-symbolic math

  • February 9, 2010 T&L webinar presented by Hollylynne Lee (North Carolina State University) and Todd Lee (Elon University), and hosted by Jackie Miller (The Ohio State University). A model for probabilistic reasoning will be discussed that may support students' statistical reasoning. The development of the model and instructional implications are based on theoretical considerations and empirical results from work with middle grades students. Significant time for discussion is planned to get reactions to the model as well as to discuss aspects of probability that participants believe are foundational to building statistical literacy or reasoning.
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  • A sketch by Anastasia Mandel reinterpreting "Sunset, Eagle Cliff, New Hampshire" by Jasper Francis Cropsey (1867) with the statistical caption "Regression tree, still standing after the trials." This is part of a collection of sketches by Anastasia Mandel and their accompanying statistical captions written by Stan Lipovetsky and Igor Mandel that took first place in the cartoon & art category of the 2009 A-Mu-sing contest sponsored by CAUSE. The collection and their accompanying statistical captions discussed in the paper "How art helps to understand statistics" (Model Assisted Statistics and Applications, 2009) by Stan Lipovetsky and Igor Mandel in volume 4 pages 313-324. Free to use in classrooms and on course websites.
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  • A song parody by Steve Sodergren (a.k.a. Al G Bra: see www.reverbnation.com/algbra) that may be sung to the tune of "With or Without You" by U2. Can be used to stimulate conversation about confidence intervals and the typical use of 95% confidence in the media when it is not otherwise reported (i.e. being within plus or minus two standard deviations for intervals based on a normal sampling distribution). This song appears on Al G Bra's "Hotel Califormula" CD.
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  • A sketch by Anastasia Mandel reinterpreting "Red Square: Painterly Realism of a Peasant Woman in Two Dimensions" by Kazimir Severinovich Malevich (1915) with the statistical caption "R^2, or it might be a Russian square, used when there is a shortage of the Latin ones." This is part of a collection of sketches by Anastasia Mandel and their accompanying statistical captions written by Stan Lipovetsky and Igor Mandel that took first place in the cartoon & art category of the 2009 A-Mu-sing contest sponsored by CAUSE. The collection and their accompanying statistical captions discussed in the paper "How art helps to understand statistics" (Model Assisted Statistics and Applications, 2009) by Stan Lipovetsky and Igor Mandel in volume 4 pages 313-324. Free to use in classrooms and on course websites.
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  • A sketch by Anastasia Mandel reinterpreting "The Dead Poet Borne by a Centaur" by Gustave Moreau (c. 1890) with the statistical caption "Mixed model: a centaur may yield only mixed results." This is part of a collection of sketches by Anastasia Mandel and their accompanying statistical captions written by Stan Lipovetsky and Igor Mandel that took first place in the cartoon & art category of the 2009 A-Mu-sing contest sponsored by CAUSE. The collection and their accompanying statistical captions discussed in the paper "How art helps to understand statistics" (Model Assisted Statistics and Applications, 2009) by Stan Lipovetsky and Igor Mandel in volume 4 pages 313-324. Free to use in classrooms and on course websites.
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  • A movie frame given the statistical caption "Kolmogorov-Smirnov test: many think its still the best, especially for a non-parametric mood." This is part of a collection of statistical captions to accompany art work written by Stan Lipovetsky and Igor Mandel that took first place in the cartoon & art category of the 2009 A-Mu-sing contest sponsored by CAUSE. The collection and their accompanying statistical captions discussed in the paper "How art helps to understand statistics" (Model Assisted Statistics and Applications, 2009) by Stan Lipovetsky and Igor Mandel in volume 4 pages 313-324. The still shot came from the 1959 movie "Our Man in Havana" starring Alec Guinness and Ernie Kovacs. Free to use in classrooms and on course websites.
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  • An important idea in statistics is that the amount of data matters. We often teach this with formulas --- the standard error of the mean, the t-statistic, etc. --- in which the sample size appears in a denominator as √n. This is fine, so far as it goes, but it often fails to connect with a student's intuition. In this presentation, I'll describe a kinesthetic learning activity --- literally a random walk --- that helps drive home to students why more data is better and why the square-root arises naturally and can be understood by simple geometry. Students remember this activity and its lesson long after they have forgotten the formulas from their statistics class.
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  • Data is what distinguishes the dilettante from the artist. This is a quote by American author George Vincent Higgins (1939 - 1999). The quote was printed in "The Guardian" on June 17, 1988.
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  • ..the goal is to transform data into information, and information into insight is a quote by American businesswoman Carly Fiorina (1954 - ). The quote was from a December 6, 2004 speech to the Oracle OpenWorld meeting in San Francisco while she was the CEO of Hewlett Packard.
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  • An experiment is a question which science poses to Nature, and a measurement is the recording of Nature's answer. This is a quote by German Physicist Max Planck (1858 - 1947). The quote (translated into English in the book "Scientific Autobiography and Other Papers" page 110 (1949)
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