Algebra level symbolic math

  • A fun song about the average by American humorist and singer-songwriter Carla Ulbrich. The song was a finalist in the novelty category of the 2018 USA Songwriting Competition.  The song is also available at www.theacousticguitarproject.com/artist/carla-ulbrich/ and more about the singer can be found at her website at www.carlau.com. For classroom use, you might ask which lines in "Totally Average Woman" refer to ways in which the woman in the song is at the mean, and which refer to ways in which she is at the median. Permission from singer is for free use for teaching in classroom and course websites with attribution. Commercial users must contact the copyright holder.

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  • A song to teach about the relationship between the slope of the regression line and the correlation. The lyric was authored by Lawrence Mark Lesser from the University of Texas at El Paso. The song may be sung to the tune of the English lullaby "Twinkle Twinkle Little Star" (Jane Taylor, 1806). Free for use in non-commercial teaching. This song is also part of an NSF-funded library of interactive songs that involved students creating responses to prompts that are then included in the lyrics (see www.causeweb.org/smiles for the interactive version of the song, a short reading covering the topic, and an assessment item).

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  • A song to teach about when the mean versus the median is better for describing a distribution. The lyric was authored by Lawrence Mark Lesser from The University of Texas at El Paso. The song may be sung to the tune of Taylor Swift's Grammy-winning 2010 hit "Mean". Free for use in non-commercial teaching.

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  • A joke to be used in teaching about the use of randomization in experiments or about the Pearson correlation coefficient. The idea for the joke came from Lawrence Mark Lesser of The University of Texas at El Paso in 2012.

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  • A poem to teach about various types of variables (categorical versus numerical versus summary statistics) and differentiating them from other concepts like the outcomes in the sample space or the sample size. The poem was composed by Lawrence Mark Lesser of The University of Texas at El Paso.
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  • No generalizing beyond the data, no theory. And no theory, no insight. And if no insight, why do research? is a quote by Canadian Professor of Management Studies Henry Mintzberg (1939 - ), McGill University. The quote appears in his 2005 paper "Developing Theory about the Development of Theory" that appeared in the edited volume "Great Minds in Management: The process of theory development" (K. Smith and M. Hutt, eds.), Oxford University Press.
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  • The theory of probability is the only mathematical tool available to help map the unknown and the uncontrollable. It is fortunate that this tool, while tricky, is extraordinarily powerful and convenient. is a quote by Polish-French-American mathematician and developer of fractal geometry Benoit B. Mandelbrot (1924 - 2010). The quote appears in his 1982 book "The Fractal Geometry of Nature" W.H. Freeman
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  • A song that reviews several statistical topics written by University of Texas at El Paso professor Lawrence M. Lesser. The song is a parody of "We Are the Champions" written by Freddy Mercury that was popularized by the British rock group Queen in their 1977 Album "ewe of the World."
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  • A song that might be used in pre-service courses for statistics teachers (or professional development workshops) to point out why using technology is preferred to training students to use Normal Probability Tables. The lyrics were composed by Robert Carver of Stonehill College. May be sung to the tune of the "Empty Chairs at Empty Tables" written by Schoenberg and Kretmer for the play Les Miserables. The lyrics won an honorable mention in the CAUSE 2013 A-Mu-sing contest. Musical accompaniment realization and vocals are by Joshua Lintz from University of Texas at El Paso.
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  • A cartoon for teaching about using the t-distribution for inference when the standard deviation is unknown. The cartoon was created by Karen Banks from University of Indiana using the software at www.bitstrips.com. The cartoon also won a prize in the CAUSE 2013 A-Mu-sing contest.
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