# Algebra level symbolic math

• ### Quote: Smith on Designing Experiments

If the experiments be quite simple the question may be without great importance; but when their requirements as to time or expenditure come into account the problem arises, how the observations should be chosen in order that a limited number of them may give the maximum amount of knowledge. is a quote by Danish Statistician Kirstine Smith (1878 - 1939). The quote appears in the introduction to her 1918 article on optimal experimental design in the journal Biometrika (the first such article in the literature).
• ### Song: Rho, Rho, Rho

A song to teach the idea the difference between the population and sample correlation. The lyrics are by Lawrence M Lesser, University of Texas at El Paso in collaboration with Dennis K Pearl, The Ohio State University. The song may be sung to the tune of the children's folk song "Row, Row, Row Your Boat" and like that song may be sung in rounds. Dr. Lesser sings the song in an accompanying MP3 audio file.
• ### Quote: Merrill on Big Data

I don't like the label big data", because that suggests the key measure is how many bits you have available to use. But who cares how much data you have? With too little data, you won't be able to make any conclusions that you trust. With loads of data you will find relationships that aren't real. ... Big data isn't about bits, it's about talent." This is a quote by ZestFinance.com CEO and former Google VP of Engineering Douglas Merrill (1970 -). The quote appeared in his May 1, 2012 blog at Forbes.com.
• ### Song: Totally Average Woman

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.

• ### Song: Correlation Song

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).

• ### Song: Mean

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.

• ### Joke: The Publishers

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.

• ### Poem: Very Able to Know Each Variable

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.
• ### Quote: Mintzberg on Theory

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.
• ### Quote: Mandelbrot on Probability

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