What is Mathematics segment

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

Math Cuffed: Is math binding or freeing?

Down with fractions by Dennis Deturck, and Beauty and mathematics.

Beauty of Mathematics

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

Math It's Everywhere [1:04].

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, including equations, geometry, algebra, statistics, mathematicians research soccer, mathematicians and Mactutor final research presentations

I'll follow this up by messaging you about some mathematical connections to your topic on the ASULearn Forum!

Formal evaluations.

What is Mathematics segment

What good is math? What is mathematics really like? What is the process of a mathematician like? How does their work contribute to society in general?

Discuss what you found on David Blackwell and Andrew Wiles

Real-World Problems Being Solved by Mathematicians

Utility of Mathematics adapted from Angelo Mingarelli, and connections to Thomas Banchoff from the beginning of the semester

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

Why are we taking math in schools? Should we be taking less of it or changing the focus? Is math binding or freeing?

Clicker questions on QL at Appalachian and Liz Coleman

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

Math Cuffed: Is math binding or freeing?

Review the slides about the

Review the What is Mathematics segment.

Share a quote from the hw along with the person (try to share something different than what came before).

Clicker questions on homework readings and discussion.

Andrew Wiles and

What is Mathematics intro lab

An even broader context: Liz Coleman on General Education TED talk

Mauna Loa Observatory on the island of Hawaii has been measuring the concentration of carbon dioxide (CO2) in earth's atmosphere since the 1950's. The observatory is 3,400 meters, or 11,000 feet, above sea level. The undisturbed air, remote location, and minimal influences of vegetation and human activity are well-suited for monitoring atmosphere components, including those that may cause to climate change. The observatory is part of the National Oceanic and Atmospheric Administration (NOAA).

http://www.esrl.noaa.gov/gmd/obop/mlo/

and regression Predicting height and solving a crime. Critical analysis and connections.

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

Big Data and consensus via visualization! David McCandless: The beauty of data visualization [12:06] from 2010. data detective.

Case studies: College Success #6

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

Prisoner's Dilemna, Tragedy of the Commons

1. Go to ASULearn Dr. Sarah's Math 1010 Glossary/Wiki (Testing)

Browse by category

Choose

Read through the entries for

2. Statistics Detective Review

3. Purchase your stock

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

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.

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):

applications of statistics to our lives hw readings #5-8

Clickers for regression lab

Project 3, rubric, full criteria

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 data, scatterplot, line of best fit, and boxplots 195, 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 for the contest, work on homework for tomorrow.

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

Predicting the future! Put equation of line on the board.

Linear Equations Instructional Rap Video from 2:20 myth: m from monter (french) to climb.

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 #1-4

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

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

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

Project 3

doodling in math class.

Difficult to count, like stars in the universe. Sampling versus census.

Golden mean analysis

Worst graph intro, worst graphs cover.

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

Clicker questions on measures of center

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.

David deposits $500 at the end of each quarter into an account paying 6.5% interest compounded quarterly for 7 years. He then changes his deposit to $725 each quarter for 5 more years at the same rate. What will the amount on deposit be after the entire 12 years?

Which formula(s) applies here.

a) lump sum

b) periodic payment

c) loan payment

d) combinations of lump sum and periodic payment

e) other

Discuss project 4. The people mentioned in the finance segment... Ben Franklin, Warren Buffett (google warren buffett America and see BofA), John Oliver. Truth is in algebra and in details, in lending practices, John Oliver exposing truth.

Equations in this segment.

End of material for test 2. Take any questions.

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?)

Statistics and quantifying equations in the context of "what is mathematics" and the prevalence of equations in and outside of mathematics. Ranking, observing (census or sample) and representing equations.

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

2. Go to ASULearn Dr. Sarah's Math 1010 Glossary/Wiki (Testing)

Browse by category

Choose Personal Finance from the drop down menu

Read through the first 2 finance entries (

Collect hw. Review the condo and car lab 1, 4, 7, 8 and 9-13

a) Option 1 Smaller Loan

b) Option 2 Lower Rate

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

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...

Credit ratings, stores selling their credit cards by their employees, risk and interest rate, credit vs debit cards... Truth in algebra versus real-life. truth: numerous conclusions made from the same measurements that depend on something we cannot measure because it occurs in the future

Discuss hw for Monday and Tuesday

Connections between finance and geometry of the earth and universe:

Plimpton Cuneiform 322 and interpreting data

Richard Feynman quotation:

Truth in a picture/space versus algebraic, and the commonality of equations.

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

2. Look at my forum posting to you on ASULearn and ask me any questions.

3. If time remains, you can use that to work on hw for tomorrow (to turn in) here or at home.

Clicker questions on loans

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 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

Philosophy and derivation of loans

Clicker loan #1

Student loan statement

Excel file

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]

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 sample beginning or the hw. Hand out the rubric. Everyone turns in this homework

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%? 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 #1-4

Review the lump sum philosophy

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)

Start with B2=.08, C2=1

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

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

Economic pearl harbor: snuck up, devastating, costly, motivated us to join the war-call to reform

problems with American's keeping their money under their mattress

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 guess and check.

Quotes on taxation. Local to global taxes.

Begin finance.

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

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

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 8% 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

Plimpton Cuneiform 322 and interpreting data

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.

1. Stock Graph and Data Collection

2. ASULearn: Anonymous Class Data Collection

3. Statistics of Nature

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

local to global theme, truth and consequenses theme.

Review the Universe Lab and clicker question

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 Didn't get to:

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

1. Geometry of our Universe Lab

2. Read over the ASULearn Glossary/Wiki entry on truth and consequences in geometry

Clicker questions

Mention ASULearn glossary, review questions, hw for next week

Scholarship of Teaching

Discuss the Jeff Weeks Interview.

A spherical universe: 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

NASA and flat universe

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

Hyperbolic universes: Hyperbolic Icosahedral

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

Dimension-shadows of higher dimensions? Experiment: Is the Universe a 2D Hologram?

Davide Cervone's Cube Projections

Local to global, light rays, string theory

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

Geometry of the universe?

Discuss and share responses: notes

Discuss the Jeff Weeks Interview.

A spherical universe: 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

A flat universe: Portal trailer and Futurama: I, Roommate.

https://www.youtube.com/watch?v=jFT1pxHmSWA

Hyperbolic universes: Hyperbolic Icosahedral

Experiments:

Gauss and Lobachevsky's measuring the angle sum

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

Discuss the density equation WMAP and Planck launches.

Clicker questions on 4.6 Gauss and Lobachevsky's measuring the angle sum

Review project 1

Discuss the last 3 questions: Project 1

[~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

Clicker questions on dimensions and 2-D universes

Collect and begin going over the first 4 questions from Project 1. Diverse perspective 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?

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.

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.

Watch an excerpt from

Discuss Project 1.

Lab 2 clicker question

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).

Euclidean, Escher (hyperbolic) and perspective drawing clicker questions and other activities: Euclidean, Escher (hyperbolic) and perspective drawing. Walking a hyperbolic angle sum on the crochet model of hyperbolic geometry, which is less than 180 degrees. Local (close to Euclidean geometry) to global (geometry is very different) perspectives. Pythagorean theorem water demo.

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.

Discuss the lab (and 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).

Walking and folding a Euclidean angle sum

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 -> 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