Clicker questions # 3-5.

Data 1 [1:16] start at :15

Data [2:04]

Math It's Everywhere [1:04].

Smarter Math Builds Equations for a Smarter Planet. [:32]

Mathematics and Religion (final project ideas: sacred geometry, spiritual numeracy)

Beauty of Mathematics

http://vimeo.com/77330591 [1:41]

Survey clicker questions

Pants research and reflection.

Discuss mathematical breakthroughs and revolutions: changing the world.

Share the final research presentations topic (name, major(s), concentrations/minors, research project idea, and whether you prefer to go 1st, 2nd or have no preference).

Discuss how to research mathematical connections and people for a number of class interests. final research presentations

Formal evaluations.

Real-World Problems Being Solved by Mathematicians.

Clicker questions # 1 and 2

Why make Liberal Arts Majors take Math in College? video. Liberal arts.

Ted talk: Liz Coleman on General Education.

Discuss the final research presentations.

What good is math? Why are we taking it in schools?

Math Cuffed: Is math binding or freeing?.

Share a quote from the hw along with the person (try to share something different than what came before). Questions on the last 2 major assignments? Clicker questions on homework readings and discussion.

Our species needs, and deserves, a citizenry with minds wide awake and a basic understanding of how the world works--Carl Sagan

What kind of world are we making? What kind of world should we be making? What kind of world can we be making?

Utility of Mathematics and connections to Thomas Banchoff from the beginning of the semester

Andrew Wiles and

1. Review the slides about the

2. Sell your stock (using the original purchase price)

3. Meeting Quantitative Needs (to turn in)

4. You may work on hw for tomorrow (or either of the last 2 projects) here or elsewhere (I am happy to help!).

Take questions on test 3 study guide, ASULearn review or anything else.

David Blackwell and controversy of Friend or Foe http://vimeo.com/59756719

David McCandless: The beauty of data visualization [12:06] [started but didn't finish]

Case studies: College Success #6 Consquences by Linda Gorman

1. Statistics Detective Review Lab

2. Purchase your stock

3. Ask me any statistics questions

Discuss the Bradford-Hill criteria

a) yes and I strongly feel so

b) yes

c) no

d) no and I strongly feel so

The Cigarette Controversy

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

Predicting height and solving a crime

David Blackwell and controversy of Friend or Foe http://vimeo.com/59756719

David McCandless: The beauty of data visualization [12:05]

Case studies: College Success #6

applications of statistics to our lives hw readings#1, 2 and 7

Clickers for regression lab

Project 3

Begin the 1969 Vietnam draft data, scatterplot, line of best fit, and boxplots via Starr

GE experiment

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

1. Can We Predict the Future? Stocks, Class Data, and Raw Egg Regressions

2. If finished before we come back together, work on project 3

Project 3

2008 Obama and McCain election

Put equation of line on the board.

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

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

3.4 #11

Does volume predict high.

applications of statistics to our lives hw readings #3-6

Review the Representations of Data Lab via clicker questions and by #22

Clicker questions on elections Book connections to the articles

John Oliver and food labels: John Oliver on Misleading Labeling of Food Products [5:12]

Project 3

Review doodling in math class.

Golden mean analysis

Worst graph intro, worst graphs cover.

Mathematical model for Ebola---predicting the future

Clicker questions on the hw readings Discuss the hw readings and mention project 3.

Clicker questions on measures of center

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. experiment and Excel analyses. 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?)

Discuss

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.

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.

Armspan bar chart.

Height box plots.

1. Stock Graph and Data Collection

2. ASULearn Anonymous Class Data Collection

3. Statistics of Nature

a) lump sum

b) periodic payment

c) loan payment

d) combination of lump sum and periodic payment

e) other

and 10. Take any questions on test 2.

Mention upcoming needed for lab in 2015: Find the stock symbols of a few companies that are actively traded and that you are interested in "buying" - for example, you might search

http://finance.yahoo.com/lookup for stocks with certain names

or www.google.com for

"stock symbol" "COMPANY NAME"

where COMPANY NAME is the name of the company that you are interested in.

stock graph

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: Spirals, Fibonacci, and Being a Plant [2 of 3]

1. Condo and Car Purchases: Decisions, Decisions (Part 2)

2. Review the lump sum, periodic payment and loan payment formulas, as well as how to calculate total interest in all three cases and the first month's interest in the case of a loan, and ask me any questions before you leave. Note the hw for tomorrow.

Review the Condo lab questions: 1, 4, 7, 8 and 9-13

a) Option 1

b) Option 2

Student loan statement: credit cards finance charges=monthly interest=interest paid that month

Richard Feynman quotation:

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...

Introduce the theme of unintended consequences

Discuss project 4. The people mentioned in the finance segment... Equations in this segment.

Mention upcoming needed for lab in 2015: Find the stock symbols of a few companies that are actively traded and that you are interested in "buying" - for example, you might search

http://finance.yahoo.com/lookup for stocks with certain names

or www.google.com for

"stock symbol" "COMPANY NAME"

where COMPANY NAME is the name of the company that you are interested in.

stock graph

1. Car Loan Practice Problem on ASULearn. Keep track of your calculations on a sheet of paper (if you scroll over an answer box after you submit it, you will receive feedback and hints, and you can resubmit the correct answers online).

2. Condo and Car Purchases: Decisions, Decisions (Part 1) lab.

Answer question 2 on the Condo and Car Purchases: Decisions, Decisions (Part 1) lab: Excel formulas in B3, D2, D3, C6, D6, and E6.

Modify the Excel amortization table - 58.18, 4795, .08/12, 120 months in B3 and D3. Rounding so change B3 to 58.18 exact, but the interest is still $2,186.60 rather than the $2,185.97 on the Student loan statement.

Scroll down to month 120

month # End of Month Payment Interest Paid that Month Principal Paid that Month Loan Balance

120 $58.18 $0.38 $57.80 ($0.63)

120*58.18-.63 [total paid - overbalance last month]

Clicker questions on loans #2 and 3

Second 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

Introduce the theme of unintended consequences:

Stop at 15:28 (Rich Guy's Car): https://www.youtube.com/watch?v=PDylgzybWAw

Review lump, total interest, periodic payment, total interest formulas for 3.2% compounded monthly for 20 years, with principal and total savings left as unknown variables.

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

pension decisions

Philosophy and derivation of loans

Clicker questions on loans #1

Student loan statement.

Philosophy of derivation of periodic payment

Take questions on Ben Franklin project or the hw. Hand out the rubric.

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

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.

Clicker questions for lump sum #4-5

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 Jeff Weeks.

Transparencies from class

Clicker questions for lump and periodic

Clicker questions for lump sum #1 and 2

Review the lump sum philosophy.

Goal Seek: Data/What-If Analysis/Goal Seek/Set cell...

Discuss other possibilities for unknowns in lump sum - the amount put in, the rate, or the number of times compounding per year. Lisa's Thrifty Savers savings account from Bart the Fink.

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

Quotes on taxation. Local to global taxes.

Plimpton Cuneiform 322 and interpreting data

Clicker questions for lump sum #3 and #6

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 Jeff Weeks.

Transparencies from class

Clicker questions for lump and periodic

Begin finance.

History and ethics of charging interest for the use of land, animals, money, even betrothal.

Historically multiples of 1/100 were common in taxation and computations. The decimal version came much later.

Usury is Piracy [

Historically, animals, land and other property was lent out, and a part of the growth of the living animals, crop, etc, where given back to the lender. We have evidence of stone tablets that charging interest for the use of money dates back to at least the ancient Babylonian times. In numerous religions over time, including Christianity, Judaism and Islam, there were 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... In 1304, interest rates in Nuremberg were 220%. Interest rates have also been capped in history.

Discuss 142 years compounding monthly versus annually.

Lump Sum Philosophy

Real-life bank situation. Past student was told that her c.d. will be compounded monthly at 8% for 8 months, and is told that this 8% will apply each and every month (ie is the monthly rate). Let's say that she put in $1000. How much would her c.d. be worth at the end of 8 months?

(a) 1000(1+.08)

(b) 1000(1+.08/8)

(c) 1000(1+.08/12)

(d) 1000(1+.08/12)

(e) none of the above

What did the bank really mean?

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 using todays rate and seeing how long it will take to double our money using her rate, and then today's rate:

=1000*(1+B2/12)^(C2*12) Goal Seek: Data/What-If Analysis/Goal Seek/Set cell...

Continue equations in the context of "what is mathematics" and the prevalence of equations in and outside of mathematics. Highlight percentages, fractions and decimals.

History and ethics of charging interest for the use of land, animals, money.

1. Research the web to find out how old the idea of charging interest is

2. Research the web to find one reason it makes sense to charge interest (for land, animals, money)

3. Research the web to find one reason it doesn't make sense to charge interest

4. Share what you found with your neighbors.

If you are finished before we come back together, work on hw for tomorrow.

Review the Universe Lab

Geometry of the Universe slides

Discuss equations in this segment.

Take questions on the quiz, course themes, or the study guide.

Test 1 study guide

Reflect on equations in the context of "what is mathematics" and the prevalence of equations in and outside of mathematics. Highlight percentages, fractions and decimals.

Scholarship of Teaching

Plimpton Cuneiform 322 and interpreting data

Usury is Piracy

Clicker question on heart of mathematics

Discuss the Jeff Weeks Interview. Visualizing a hypersphere-Jeff Weeks worksheet [Einstein based his theory of relativity off of Riemann's work on this space]

http://vimeo.com/73243719

https://www.youtube.com/watch?v=kNva9WpQXvM

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

Discuss the density equation WMAP and Planck launches.

http://www.youtube.com/watch?v=5u7hFQy9Mt0&feature=relate From 47:46 onwards.

Discuss the local to global theme in this segment (part d of the homework). and the connection to project 4

My own research as a part of the ways that people succeed and impact mathematics

Lab 2 clicker question

How many stars in the universe?

Review http://www.youtube.com/watch?v=Uzd484Mvm2k starting at about 4:11, including a 3-torus with only 96 stars

Shape and geometry of the universe?

Portal and Futurama: I, Roommate.

Gauss and Lobachevsky's measuring the angle sum

Dimensions of our universe. Experiment: Is the Universe a 2D Hologram?

Clicker questions on dimensions and 2-D universes

[~32 minutes] Selections cut from PBS Life by the Numbers: Seeing is Believing Video: Modern artists and mathematicians are trying to grapple with the 4th physical dimension. Mathematics helps define space and helps present visions of our world to us. Tom Banchoff as a mathematician. Shape of the World video: Viewers see how mathematics has become a tool to explore the heavens as the cosmos is charted.

Class concentrates on what our universe looks like, how we know, and how we represent it. Discuss the video, including Tom Banchoff, Rob Kirschner, and Jeff Weeks, Riemann and Einstein, high dimensions, experiments and representations. notes

Discuss and share responses

Davide Cervone's Cube Projections

Where is North?

Review research project 1 and books in my office for research project 1

discuss local (close to Euclidean geometry) to global (geometry is very different) perspectives

There are many real-life applications of hyperbolic geometry, such as

1. models of the internet that hope to reduce the load on routers,

2. building crystal structures to store more hydrogen or absorb more toxic metals

3. mapping the brain

4. mapping the universe

5. modeling Mercury's orbit.

6. art: Crochet model of hyperbolic geometry Reef Crochet reef.

Another 2-D universe: PacMan sequence from

Discuss what a 2-D creature would see if an orange passed through the plane of existence, including 2-D creature movements of the caterpillar turning into a 3-D movement butterfly

Introduce the Klein bottle along with the identifications of the square model.

Glass model - I have a much smaller model in my office.

Students create a tiling view of Klein bottle Tic-Tac-Toe to the left and right (same board), and above and below (reflected board).

Watch an excerpt from

Quotes from Escher on how he does mathematics and where it comes from. Discuss whether mathematics arises from nature or whether we impose our mathematical discoveries onto nature.

Clicker questions for lab 1

Where is North?

Difference of hyperbolic geometry and spherical geometry:

Sphere with Angels and Devils, 1942.

Sphere Surface with Fish. 1958

Books in my office for research project 1.

1. Lab on perspective

2. Take the ASULearn Mathematical Experiences reflection survey

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

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

Think of your favorite cartoon. What dimension is it?

a) 2-D

b) 3-D

c) both

d) neither

e) unsure

Are

http://www.youtube.com/watch?v=TKQ8Ilr6PgU

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

Sun and Moon.

Worksheet on Escher. (number 2). Quotes from Escher on how he does mathematics and where it comes from. Discuss whether mathematics arises from nature or whether we impose our mathematical discoveries onto nature.

Clicker review of Euclidean and Escher

Discuss

lifebynumbersintro.mow 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 -> industrial revolution, that perspective is learned - not innate, and that we must distort the work to give the illusion of depth.

Advice from last semester.

Julian Beever's pavement drawings:

Butterfly

Globe wrong view

Globe correct view

Accident