• Tues Dec 4
    Discuss how to research mathematical connections and people for a number of class interests, including equations, geometry, algebra, 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]
    What is Mathematics: Matheamtical Breakthroughs Final Exam Research Presentations, rubric.
    mathematical breakthroughs, Flat earth headline,
    Handout to sign---goes to Administrative assistants. I won't get them back until after your grades are in.
    Choose something to work on. It could be (optional) revisions due by this Thursday or research on the final project due next Wednesday by our presentation sessions starting at 2 in 302. I'm happy to help you.

  • Mon Dec 3
    1. If you didn't complete CourseEval already, do so now
    2. Take the anonymous ASULearn survey
    3. Read through the Final Exam Research Presentations and write down any questions
    4. Choose something to work on. It could be (optional) revisions due by this Thursday or research on the final project for the presentation sessions due next Wednesday 12/12 starting at 2pm in 302. I'm happy to help!
  • Thur Nov 29 Exam 3

  • Tues Nov 27
    probability and statistics problem solving
    Bradford-Hill criteria, DNA evidence vs epidemological evidence
    Confounding issues
    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, partial sample test, or ASULearn Review Questions for Test 3

  • Mon Nov 26
    1. Detective lab.
    2. You can work on the following here with my help or leave to work on it later: study guide with partial sample test or ASULearn Review Questions for Test 3. If you have one, bring with you tomorrow a laptop, tablet, phone, or similar, that you could connect to the internet. We'll be doing a number of activities tomorrow, including CourseEval.
  • Tues Nov 20
    Review lab including confidence intervals and where it is not statistically valid for Gallup to make the statements it did in the title or elsewhere about the population (where they are possibly invalidated by taking into account the margin of error), such as Desire to Migrate Rises in North Africa and In U.S., Water Pollution Worries Highest Since 2001
    clicker review of readings on deciding public policy
    analyzing probability and chance in HIV testing
    2 independent tests
    multiple regressions
    stereotype vulnerability
    CourseEval---we'll devote class time to filling these out after break

  • Mon Nov 19 Gallup poll lab
  • Thur Nov 15
    1. Answer the clicker review of confidence intervals and bring your responses with you to lab on Monday.
    2. 2016 presidential election
    3. probability of Appalachian State winning football games
    4. deciding public policy
    5. If time remains, work on selecting a Gallup poll which also has a Survey Methods section that includes a margin of sampling error % or ASULearn homework for next week.

  • Tues Nov 13
    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].
    November 11 is Veterans Day. Would you have been drafted for Vietnam in the 1969? 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, A truly unbiased military draft, methodology
    Confidence Intervals and Margin of Error
    Clicker review of box plots and correlations

  • Mon Nov 12 Correlation Lab
  • Thur Nov 8
    Stumbling through data clickers
    David Blackwell, John Nash, Florence Nightingale, Gallup and Silver
    Worst graph intro,   worst graphs   cover
    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.
    Back to country data. Does rating for Democratic Republic of the Congo predict the rating for Ethiopia?
    Excel hours without sleep and midterm errors, pdf, extrapolation
    Discuss lab on Monday. jump, experiment, protect!. If there are any eggcidents, clean up and I need the mesh back.
    2000 election between Bush and Gore and Pat Buchanan's impact in Florida, butterly ballot

  • Tues Nov 6
    Media Literacy Week
    NSF: importance of "harnessing the data... at the local, state, national, and international levels to help unleash the power of data in the service of science and society"
    TEDxBlackRockCity - Spencer Greenberg - Improve Your Life With Probability start with 1:42
    probability and statistics problem solving
    ethical standards, confounding variables, and bias clickers
    Duke falsification. reproducibility, consensus and random sampling if possible
    Country data from ASULearn
    mean and median and in the country data.
    Florence Nightingale and visualization of data,   boxplots and in the country data
    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?).

  • Mon Nov 5 Generating data relating to ourselves, nature around us, and global connections.
    1. ASULearn: Anonymous Class Data Collection
    2. Statistics of Nature
    3. ASULearn: Comparing and Ranking Countries
  • Thur Nov 1 Assign identifiers to those who didn't get them on Tuesday.
    Clickers on probability, The WORLD FACTBOOK
    Penny experiment
    Comparing and Ranking Countries

  • Tues Oct 30
    On the board, write the number of people who responded to your birthday survey and whether you found any shared birthdays.
    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 and statistics problem solving
    probability slides and birthday comic by Olivia Walch Picture credit: http://imogenquest.net/?p=415, birthday simulation--try the number of people in our class.
    What are some factors that may invalidate independency/confounding variables?
    Which would you choose? David Blackwell and controversy of Friend or Foe Prisoner's Dilemna, Tragedy of the Commons
    expected value
    identifiers for anonymous survey. ASULearn anonymous survey
    County. First digits, smallest, largest, median, mean, column chart, scale balancing. Benford's law, state demographer

  • Mon Oct 29
    1. Probability and Chance in Birthday and Global Populations
    2. Read through revisions and course grade
  • Thur Oct 25 Exam 2. Last day to drop.

  • Tues Oct 23
    debt-to-income ratio 35% and how it precipited the 2008 recession
    Compare #4 with a neighbor. Take questions on the others.
    Discuss hw in preparation for lab on Monday. Interwoven Connections: Statistics and Probability
    Where does the 1, -1, negative power come from in the formulations/derivations?
    themes. local to global in finance, risk in finance and lending, 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 like in the condo or lottery. necessary to analyze multiple perspectives to make decisions. people, exam review. Decisions, decisions: critical and creative thinking.

  • Mon Oct 22
    1. Car Purchases: Decisions, Decisions (Part 2)
    2. If time remains you may work on homework for tomorrow and exam review or you may leave.
  • Thur Oct 18
    amortization hw continued
    loan payments and amortization. Compare the average interest 3828.32/48 to the first months interest.
    credit card statement finance charges=monthly interest=interest paid that month.
    Connections between finance and geometry of the earth and universe via Richard Feynman quotation. U.S. National Debt Clock : Real Time.
    Credit ratings, stores selling their credit cards by their employees, risk and interest rate, credit vs debit cards.
    themes. 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.
    Discuss upcoming hw for before and after the exam. finance.yahoo.com to create a Berkshire Hathaway stock graph (BRKA versus BRK-A).

  • Tues Oct 16 Clicker loans
    Student loan statement
    Pay attention to the appearance of North Carolina here: Stop at 15:28 (Rich Guy's Car): https://www.youtube.com/watch?v=PDylgzybWAw.

  • Mon Oct 15 Condo and Car Purchases: Decisions, Decisions (Part 1)
  • Tues Oct 9
    Clicker lump and periodic
    loan payments and amortization, Excel file. Rounding so change B3 to 58.18 exact. Scroll down to month 120 to see the impact of rounding.

  • Mon Oct 8 Use lab time to work on Project 1. Read through Benjamin Franklin's Will - 7 News Article Web Readings and bring them into the Project.
  • Thur Oct 4 Take question on the Benjamin Franklin project or the homework.
    Jane - Traveled Early and then Saved. Joan - Saved Early and then Vacationed.
    pension decisions, America's Got Talent: "The prize, which totals $1,000,000, is payable in a financial annuity over forty years, or the contestant may choose to receive the present cash value of such annuity."
    Search google news for lottery winner lump.
    Begin the lottery questions
    Picture of Excel work, Excel work file. Picture of Excel solutions, Excel solution file.

  • Tues Oct 2 Clicker questions for lump sum #5-7
    Project 1, sample beginning, tables, rubric, and news articles on main webpage.
    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

  • Mon Oct 1 Benjamin Franklin's Will: Lab
  • Thur Sep 27 clickers on the history and ethics of charging interest #2-3.
    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. clickers on the history and ethics of charging interest #2-3.

  • Tues Sep 25 clickers on the history and ethics of charging interest #1.
    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 #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:
    Start with B2=.rate from online, C2=time
    Goal Seek: Data/What-If Analysis/Goal Seek/Set cell... a1, 2000, c2...

  • Mon Sep 24 Exam 1
  • Thur Sep 20 Geometry of Our Universe Lab
    Discuss the Jeff Weeks video
    Geometry of the Universe
    Discuss equations in this segment.
    themes and study guide. advice from previous students
    Historically multiples of 1/100 were common in taxation and computations. The decimal version came much later [.01, 1%], % symbol and "out of 100". The Role of Probability and Chance in Financial Forecasting
    Discuss homework for Tuesday: practice percent, proportion, and growth, and Thursday Real-life rates around you and lump sum.

  • Thur Sep 13 - Tues Sep 18 The university has cancelled class.

  • Tues Sep 11 Earth and Universe

  • Mon Sep 10 2D Universes lab

  • Thur Sep 6 Discuss the earth problems from the earth and universe research including diverse perspectives and local to global issues. Begin to discuss the last 3 questions, which we will continue to go over. Dimensions of our universe. Experiment: Is the Universe a 2D Hologram? light rays, string theory, sampling estimates and the role of chance and probability in creating a good sample, as well as extrapolation.

  • Tues Sep 4
    earth and universe research and child's ball for Thursday.
    Random sequence generator,
    Clicker questions on dimensions and 2-D universes
    Selections from PBS Life by the Numbers [~29 min]
  • Thur Aug 30
    applications of hyperbolic geometry and review of intrinsically straight paths, parallels, sum of the angles of a triangle, and Pythagorean theorem
    Pythagorean connections to algebra and finance including Babylonians, Indian Vedic period, and Chinese work.
    Another surface: PacMan sequence from Futurama (Anthology of Interest II) and a tiling view versus folding up the space (where PacMan would see his back which would look like a piece of a circle or a flat line to him). Klein bottle identifications of the square and Glass model. Tiling view of Klein bottle Tic-Tac-Toe
    Watch an excerpt from Flatland: The Movie. What do you think spherius would say to the idea of a 4th dimension? What if a donut passes by Arthur square?
    ASULearn and earth and universe research

  • Tues Aug 28
    engage 1010.
    Clicker questions and other activities on angle sum, parallels, and Pythagorean theorem. Local to global.
    Pythagorean theorem and Image of Pythagorean theorem
    Clicker questions for lab 1 local to global mathematicians contributing from Belgium, Germany, England, Italy, the United States
    Where is North?

  • Mon Aug 27 Perspective Lab Activities

  • Thur Aug 23 Clicker question on round earth
    Discuss the lab (and reading) for Monday via Perspective Drawing and Projective Geometry.
    Discuss Excel. Define dimension as degrees of freedom of movement in space or efficient algebraic coordinates.
    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 The Simpsons 2D or 3D?
    Dutch graphic artist M.C. Escher and the mathematical clues he left in his work:
    Sun and Moon.  
    Worksheet on Escher.   (number 2).
    Walking an angle sum, Folding an angle sum
    Quotes from Escher on how he does mathematics and where it comes from.

  • Tues Aug 21 Overview of the course including the attendance policy. What kind of world are we making. What kind of world should we be making. What kind of world can we be making.
    Discuss How could we tell that the earth is round instead of flat without using any modern technology (ie if we were ancient Greeks)? Make a list of ideas on the board. Watch 10 minute video excerpts and prepare to share something to discuss: Life By the Numbers Shape of the World (maps of the earth) and Seeing is Believing (perspective)
    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:
    Globe wrong view
    Globe correct view
    I decided to get into 3D after seeing the effect of tiles being removed from the street, and later trying to recreate the sense of depth in a drawing. Once I realised you could make things go down, I realised you could make them appear to go up and I began experimenting.
    advice from previous students, engage in 1010
    Handouts: tentative calendar page, engage in 1010, video note sheet