clicker (final project ideas: sacred geometry, spiritual numeracy)

Discuss how to research mathematical connections and people for a number of class interests, including equations, geometry, algebra, finance, statistics, probability, Mactutor, mathematicians, mathematicians research soccer, Encyclopedia of mathematics and society, Science in Context, Mathematical Sciences Databases---JSTOR

Beauty of Mathematics, http://vimeo.com/77330591 [1:41]

mathematical breakthroughs, scientific truth, Flat earth headline

Film by Kaitlyn Colucci, Final Exam Research Presentations, rubric.

Course evaluations

research for final project

Review. 2016 presidential election, pre- and post-election views

What is Mathematics slides. Final Exam Research Presentations, rubric, What are some topics you might be interested in?

Real-World Problems Being Solved by Mathematicians

Math It's Everywhere [1:04].

Work on study guide

1. Birthday simulation

2. Statistics Detective Lab

3. Sell your stock

Clickers for regression lab, predictors

Clickers review

Probability and Randomness in Games, Business, and Life I The Great Courses up until 4:00. [notice the connections to the first two sections]

probability slides and birthday comic, birthday simulation--try the number of people in our class.

What are some factors that may invalidate independency?

Which would you choose? David Blackwell and controversy of Friend or Foe Prisoner's Dilemna, Tragedy of the Commons

TEDxBlackRockCity - Spencer Greenberg - Improve Your Life With Probability start with 1:42

Benford's Law where the first digit in many real-life sources of data is not equally distributed, and approximates a logarithmic trend (where 1 occurs about 30% of the time while 9 less than 5% of the time) in data such as street addresses, stock prices, population numbers, death rates, etc... Identity theft, fraudulent election in Iran faked economic data, cooked accounting books.

The 2016 presidential election

GE experiment

Here is a second application of all we've been reading and discussing. Critique the following article (pros and cons). Informal bullet points are fine here: Exposure to letters A or F can affect test performance

Look at succeeding in mathematics (Circle lots of As):

Regression line Average GPA = .539 + .00362 (Verbal SAT) [600, 800], a 4.0 GPA? SAT scores to college GPA [An Investigation of the Fit of Linear Regression Models to Data from an SAT Validity Study By Jennifer L. Kobrin, Sandip Sinharay, Shelby J. Haberman, and Michael Chajewski]

Discuss correlations versus causations on why birds fly south during colder weather

Bradford-Hill criteria, including the controversy of 1994

Does volume predict high? Discuss lab on Monday. jump, experiment, protect!. If there are any eggcidents, clean up and I need the mesh back.

Begin Birthday

Case studies: College Success analyze studies

Review confidence interval and #6, Study: 70% of Facebook users only read the headline of science stories before commenting, percentage who only read headlines

probability continued

Book connections to the articles

Predicting the future! Put equation of line on the board, review the regression slide

2000 election between Bush and Gore and Pat Buchanan's impact in Florida, butterly ballot

Excel hours without sleep and midterm errors, pdf, extrapolation

November 11 is Veterans Day.

Would you have been drafted for Vietnam in the 1969 draft?

Is there anyone in the class with the same birthday?

Begin the 1969 Vietnam draft [2:39-5:00] December 30, 003. Roger Mudd. data, scatterplot, line of best fit, and boxplots 195, Starr, A truly unbiased military draft, methodology

Project 3, rubric, full criteria

Create a video

clicker questions

probability

HIV testing

articles on the impact of young voters in the 2008 Presidential election

Clicker questions on elections, Project 3, Book connections to the articles, Create a video

probability of appalachian state football winning

Review mean, median, boxplots, and confidence intervals.

Clicker review of mean, median, boxplot and confidence intervals.

Music choices and compatibility issues (measuring "difference" in music tastes via looking at vertical distance between points--least squares) music 1, music 2.

Begin inferences and regression.

Predicting height and solving a crime. SAT and GPA.

deciding public policy: price of a life

Review the Representations of Data Lab via clicker questions and by #20

1. Stock Purchase

2. Representations of Data Lab

Clicker questions on the homework

Review measures of central tendency and boxplots

Nielsen

Worst graph intro, worst graphs cover.

penny experiment

Media Literacy Week. p. 663 #15 or 18

Project 3, rubric, grade average

real-life applications of boxplots

confidence intervals

Last Week Tonight with John Oliver - Misleading Food Labeling [5:12]

Problem solving at the heart of mathematics: visualization, generalization, making decisions, Nightingale, Gallup, Silver

Distance from home bar chart.

Discuss bar chart of volume of stocks from lab including how you can tell whether the mean will be above or below the median using the idea of a scale balance.

box plots

Height box plots.

Armspan bar chart.

Psychic experiment. Histogram of the ASULearn random number from 1 to 10.

Truth and Consequences: Random number experiment. The expected value if equally distributed from adding the people in the class and dividing by 10. Discuss whether the human mind can provide a random number. Discuss sampling versus census. Discuss mathematical proof versus statistical significance and randomness. Discuss the expected value (sum/10) and briefly mention the chi test [(B2-C2)^2/C2, CHITEST(B2:B11,C2:C11)] and p-value (are the observations statistically significant or can the differences be ascribed to random variations of chance?).

Golden mean analysis

Connection between Escher and tiling in the geometry segment and the statistics of nature: the golden mean/phi and plants, flowers and pinecones: doodling in math class [6:13].

1. Stock Graph and Data Collection

2. ASULearn: Anonymous Class Data Collection

3. Statistics of Nature

4. Read through the exam 2 discussion forum posting on ASULearn

Compare #4 with a neighbor. Take questions on the others.

Mention hw for Monday.

themes, Test 2

credit card statement finance charges=monthly interest=interest paid that month. Credit ratings, stores selling their credit cards by their employees, risk and interest rate, credit vs debit cards.

Connections between finance and geometry of the earth and universe via Richard Feynman quotation. U.S. National Debt Clock : Real Time.

Discuss upcoming hw for before and after the exam. finance.yahoo.com to create a Berkshire Hathaway stock graph (BRKA versus BRK-A).

loan payments and amortization and themes.

Which option would you choose?

Student loan statement

Review prohibitions against charging interest on money to members of the community (usury), but was ok for strangers - lending was considered philanthropy and part of a giving back to the community... Payday lender in Boone clicker

Introduce the theme of unintended consequences and pay attention to the appearance of North Carolina here: Stop at 15:28 (Rich Guy's Car): https://www.youtube.com/watch?v=PDylgzybWAw. Truth is in algebra and in details of the derivations, in lending practices, John Oliver exposing truth, in real-life issues like lottery winners ending up worse financially after 5 years, or a high probability in ending up in the circle of debt in a payday loan. numerous conclusions made from the same measurements. risk in finance and lending.

Clicker review of lump and periodic combined

loan payments and amortization

Modify the Excel file 58.18, 4795, .08/12, 120 months in B3 and D3. Rounding so change B3 to 58.18 exact. Scroll down to month 120 to see the impact of rounding.

slides, Philosophy of derivation of periodic payment

Jane - Traveled Early and then Saved. Joan - Saved Early and then Vacationed.

http://www.huffingtonpost.com/mike-branch-cfp/should-you-say-yes-to-you_b_5889992.html

pension decisions

Take questions on Ben Franklin project or the hw.

Begin the lottery questions. Search google news for lottery winner lump.

Picture of Excel work, Excel work file. Picture of Excel solutions, Excel solution file.

Project 2, sample beginning

What about $100 deposited every month into an account for 25 years, compounded monthly at 5%? slides Work towards periodic payment understanding and compare the philosophy to the lump sum formula derivation and to Jeff Weeks.

Clicker questions for lump and periodic

$37 problems

Clicker questions for lump sum #1-4. Go over hw.

Review the lump sum philosophy

Charlie Rose - An exclusive conversation with Warren Buffett [first 54 seconds and then from 3:30-5:18].[DVD 4:11 - 5:48] Youtube first 1:27

Lisa's Thrifty Savers savings account from Bart the Fink: Excel can't solve the resulting lump sum equation for number of times compounding per year. constructing a solution versus empirical guess and check.

Quotes on taxation. Local to global taxes.

$37. Discuss lab and project.

Truth in equations. Comic [actually Benjamin Franklin].

Discuss 142 years compounding monthly versus annually. Platonic equations. Latin Id quod inter est or "that which is between."

Lump Sum Philosophy

clickers on the history and ethics of charging interest #4 and 5

Discuss other possibilities for unknowns in lump sum - the time length, the rate, or the number of times compounding per year. Intro to Goal Seek and Solver in Excel via seeing how long it will take to double our money using her rate, and then today's rate:

=1000*(1+B2/12)^(C2*12)

Start with B2=.08, C2=1

Goal Seek: Data/What-If Analysis/Goal Seek/Set cell... a1, 2000, c2...

Review the Universe Lab and clicker questions

Geometric visualization, algebraic, and statistical perspectives related to

Historically multiples of 1/100 were common in taxation and computations. The decimal version came much later [.01, 1%], % symbol and "out of 100".

# stars will come up again in the finance segment. another connection between the two: Plimpton Cuneiform 322 and interpreting data engagement

themes and study guide. advice from previous students

Take questions on test 1

Discuss the Jeff Weeks video.

Truth via reproducibility and consensus.

Experiment: Rob Kirschner's Supernovae results related to whether brightness=1/distance

Geometry of the Universe

Experiment: Discuss the density equation WMAP and Planck launches. Critiques: difficulty agreeing on the meaning of the data, neutrino mass, dark energy, speed of light?

Clicker questions on last part of project 1

Discuss the Jeff Weeks interview

My scholarship

Discuss equations in this segment.

Klein bottle tic-tac-toe

Clicker questions on 4.6. Experiment 1: Gauss and Lobachevsky's measuring the angle sum. Critiques: Experimental error, light rays bend with gravity, triangles too small

Clicker review of some of project 1 and continue with the last 3 questions of Project 1.

Clicker question on 4.7

3-torus with only 96 stars and other ideas about the number of stars

A spherical universe: What sequence (over time) would we see if a hypersphere passed by us? Think about an analogue of a sphere passing by a 2-D creature's plane of existence. Hint: A sequence of spheres - how do they change? hypersphere visually, algebraically, in AI, biology, machine learning and statistics, and in Einstein's theory of relativity. hypersphere

NASA and flat universe. finite? Portal trailer and Futurama: I, Roommate. Escher. Experiment: Looking for repeated star patterns-Critiques: light takes times to reach us and changes the view, recognize?

Hyperbolic universes: Hyperbolic Icosahedral

Clicker questions on dimensions and 2-D universes

probability

Selections from PBS

books in my office for research project 1, rubric

applications of hyperbolic geometry

Difference of hyperbolic geometry and spherical geometry:

Sphere with Angels and Devils, 1942.

Sphere Surface with Fish. 1958

Another surface: PacMan sequence from

Klein bottle identifications of the square and Glass model. Tiling view and Klein bottle Tic-Tac-Toe to the left and right (same board), and above and below (reflected board).

Watch an excerpt from

Where is North?

Questions or comments on the homework.

Clicker questions and other activities on angle sum, parallels, and Pythagorean theorem. Local to global.

Clicker questions for lab 1

Take questions or comments on the syllabus or on project 1.

Discuss the lab (and reading) for Monday via Perspective Drawing and Projective Geometry. Discuss Excel.

Review geometry segment themes: What does a space look like, how do we know and how do we represent it?

clicker cartoon question, cartoons and dimensions

Are

Dutch graphic artist M.C. Escher and the mathematical clues he left in his work:

Sun and Moon.

Worksheet on Escher. (number 2).

Folding a Euclidean angle sum and Walking an angle sum

Quotes from Escher on how he does mathematics and where it comes from.

Discuss

lifebynumbersintro.mov notes. Highlight the questions of what our world looks like, how we know, and how we represent it. Highlight Danny Glover's discussion that the earth is finite but has no edges, that a flat map of the earth must contain some distortion, and Sam Edgerton's views that perspective led to the industrial revolution, that perspective is learned - not innate, and that we must distort the work to give the illusion of depth.

Julian Beever's pavement drawings:

Butterfly

Globe wrong view

Globe correct view

Accident

advice from previous students