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,
Mactutor, mathematicians, mathematicians research soccer,
Encyclopedia of mathematics and society,
Science in Context,
Mathematical Sciences Databases---JSTOR
Beauty of Mathematics, http://vimeo.com/77330591
scientific truth, Flat earth headline
Film by Kaitlyn Colucci,
Final Exam Research Presentations,
research for final project
class stats & what is mathematics lab
Thur 11/29 Test 3
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
Work on study guide
1. Birthday simulation
2. Statistics Detective Lab
3. Sell your stock
Clickers for regression lab,
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 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
start with 1:42
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
Can We Predict the Future? Stocks, Class Data, and Raw Egg Regressions
Thur Nov 16
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): Here's Good News... SAT scores are declining at a slower rate.
Review the biased MRT instructions and relate to stereotype vulnerability.
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.
protect!. If there are any eggcidents, clean up and I need the mesh back.
Case studies: College Success analyze studies
Tues Nov 14
Study: 70% of Facebook users only read the headline of science stories before commenting,
percentage who only read headlines
Book connections to the articles
Predicting the future! Put equation of line on the board,
review the regression slide
election between Bush and Gore and Pat Buchanan's impact in Florida, butterly ballot
Excel hours without sleep and midterm errors,
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?
1969 Vietnam draft
[2:39-5:00] December 30, 003. Roger Mudd.
scatterplot, line of best fit,
and boxplots 195,
A truly unbiased military draft, methodology
Project 3, rubric, full criteria
Create a video
Mon Nov 13 Gallup Poll
Thur Nov 9
articles on the
impact of young voters in the 2008 Presidential election
Clicker questions on elections,
Book connections to the articles, Create a video
probability of appalachian state football winning
Tues Nov 7
Review mean, median, boxplots, and
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)
Begin inferences and regression.
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
Mon Nov 6
1. Stock Purchase
2. Representations of Data Lab
Thur Nov 2
Clicker questions on the homework
measures of central tendency and boxplots
Worst graph intro,
Media Literacy Week. p. 663 #15 or 18
Project 3, rubric,
real-life applications of boxplots
Last Week Tonight with John Oliver - Misleading Food Labeling [5:12]
Tues Oct 31
measures of central tendency
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.
Height box plots.
Armspan bar chart.
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
Mon Oct 30 Collecting data:
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
Thur Oct 26 Test 2
Tues Oct 24
Compare #4 with a neighbor. Take questions on the others.
Mention hw for Monday.
themes, Test 2
Mon Oct 23
Car Purchases: Decisions, Decisions (Part 2)
Thur Oct 19
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
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
Tues Oct 17
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):
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.
Mon Oct 16
Condo and Car Purchases: Decisions, Decisions (Part 1) lab
Tues Oct 10
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.
Mon Oct 9 Use lab time to work on Project 2 or review lump sum
Thur Oct 5
Philosophy of derivation
of periodic payment
Jane - Traveled Early and then Saved. Joan - Saved Early and then
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.
Tues Oct 3
Clicker questions for lump sum #5-7
What about $100 deposited every month into an account for 25 years, compounded monthly at 5%?
Work towards periodic payment understanding and compare the philosophy to the lump sum formula derivation and to
Clicker questions for lump and
Mon Oct 2
Benjamin Franklin's Will: Lab
Thur Sep 28
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.
Tues Sep 26
clickers on the
history and ethics of charging interest #1-3.
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:
Start with B2=.08, C2=1
Goal Seek: Data/What-If Analysis/Goal Seek/Set cell... a1, 2000, c2...
Mon Sep 25
equations, fractions, percentages, interest and course average % lab
Thur Sep 21 Test 1
Tues Sep 19
Review the Universe Lab
and clicker questions
Geometric visualization, algebraic, and statistical perspectives related to Down with Fractions
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
themes and study guide.
advice from previous students
Take questions on test 1
Mon Sep 18
The Geometry of Our Universe Lab
Thur Sep 14
Discuss the Jeff Weeks video.
Truth via reproducibility and consensus.
Experiment: Rob Kirschner's Supernovae results related to whether
brightness=1/distance2. Distant supernovae dimmer than expected.
Critiques: Experimental error, no perfect model, not necessarily
exploding at the same brightness, convenience sample
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
Discuss equations in this segment.
Down with Fractions. Geometric visualization, algebraic, and statistical perspectives.
Tues Sep 12
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
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?
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
Mon Sep 11
2D Universes Lab
Thur Sep 6
Collect and begin going over the first 4 questions from Project 1.
Diverse perspective and local to global issues. The role of chance and probability in knowing the truth. 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 and extrapolation.
Tues Sep 5
Clicker questions on dimensions and 2-D universes
Selections from PBS Life by the Numbers [~32 min]
books in my office for research project 1, rubric
Thur Aug 31
applications of hyperbolic geometry
Difference of hyperbolic geometry and spherical geometry:
Sphere with Angels and Devils, 1942.
Surface with Fish. 1958
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 and Klein bottle Tic-Tac-Toe to the left and right (same board), and above and below (reflected board).
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?
Where is North?
Tues Aug 29
Questions or comments on the homework.
Clicker questions and other
activities on angle sum, parallels, and Pythagorean theorem. Local
Pythagorean theorem and
Image of Pythagorean theorem
Clicker questions for lab 1
Mon Aug 28
Activities and ASULearn Mathematical Experiences reflection survey
Thur Aug 24
Clicker question on round earth.
Press the On/Off (power) button on their iClicker remote until the blue Power light begins flashing (about 2 seconds). Press the new two-letter code AA.
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 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.
Folding a Euclidean
angle sum and Walking an angle sum
Quotes from Escher
on how he does mathematics and where it comes from.
Tues Aug 22
Overview of the course including the
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)
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:
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