Discuss the themes from project 4

Liz Colman and Education

Discuss the final research presentations

1. Sell your stock.

2. On the front board, mark off whether you gained or lost money by adding them to the relevant gain/loss columns (one mark per group).

3. Success in Math video

4. Class discussion on the videos, what is mathematics homework from Thursday and Andrew Wiles.

5. On ASULearn take the Anonymous Advice for Next Semester survey.

-what mathematics is

-what it has to offer and why it is useful

-the diverse ways that people succeed in it and impact it

-local to global theme

-truth and consequenses theme

Take questions on Project 4 or the Research Presentations

David Blackwell

Andrew Wiles and

1. Purchase your Stock

2. Statistics Detective Review

In the egg bungee experiment the similarity of the rubber bands led to an almost constant slope for the change in distance dropped / change in rubber bands.

a) Agree

b) Disagree

In the egg bungee experiment my group used less than the number of rubber bands that the line predicted for 200 cm:

a) True

b) False

If your stock market r

a) Yes

b) No

As a researcher, was it ethical to remove the points that I eliminated and keep the remaining points?

a) Yes

b) No

Predicting height and solving a crime

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

Discuss the Bradford-Hill_criteria

Case studies: College Success

David Blackwell

Mathematical breakthroughs and revolutions

Liz Colman and Education

Regarding the themes of

Collecting and Presenting Data

Predictors

Boxplots

Unintended Consequences

discuss the hw readings in that context

Continue looking at the theme of success and impacts in mathematics:

Circle an A.

GE experiment

Turn in the letters A or F reading homework and HDYK 3.4 #15, but answer the following question before you do so:

How many different items were you able to find in the books that related to

a) 0

b) 1-4

c) 5-9

d) 10-14

e) 15 or over

Discuss

Interpret the negative slope of the best fit line in this context.

a) As the policeman has more experience he gives out more tickets

b) As the policeman has more experience he gives out less tickets

The r

a) There is a typo in the book - the actual r

b) The mathematics of the r

c) Other

Go over the lab and iclicker question on all data and stock graph. Stock over all time that you sketched by hand on the lab:

a) lost money

b) gained money

c) stayed about the same

Over the time period of the stock graph, the highs:

a) lost money

b) gained money

c) stayed about the same

In the hw reading on the unintended consequences of HIV testing the entire population in the

a) the large numbers of HIV negative people can have false positives and make what seems like an accurate test percentage-wise problematic

b) A positive result becomes relatively meaningless because one only has a small chance of actually having HIV

c) Testing the entire US population leads to the (unintented) problems

d) More than one, but not all of the above

e) a, b and c

How many different items were you able to find in the books that related to the 2 articles on the 2008 McCain and Obama election?

a) 0

b) 1-4

c) 5-9

d) 10-14

e) 15 or over

Which author did you find most credible?

a) The Straight-Ticket Youth Vote, by Patrick Ruffini

b) Young voters not essential to Obama triumph by Tom Curry

c) They were both equally credible

With regard to the 2008 election between McCain and Obama, which of the following are true

1. Both articles claimed that younger voters were essential in North Carolina and Indiana.

2. The exit poll data may not be representative.

3. The authors disagreed about the impact of young voters in Florida and Ohio.

a) Only 1

b) Only 2

c) Only 3

d) Only two of the three statements are true

e) All three of the statements are true

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

Begin 3.4 #11.

Anthropology study: width/length of 20 beaded rectangles used in Shoshani leather handicrafts and the relationship to 1/golden mean.

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

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

Nielsen ratings.

Who is the best network?

a) ABC

b) CBS

c) NBC

Here's good news, we are the best network... (for each network)

Nielsen ratings using a scale balancing idea for CBS (the middle graph).

a) Mean is higher than the median

b) Mean is lower than the median

c) Mean equals the median

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.

With regard to the 1936 Landon and Roosevelt election Literary Digest poll, which predicted the winner as Landon

a) The sample size was not large enough

b) The sample size was not diverse enough

c) Landon would have won - but Roosevelt's win was due to a last minute change in sentiment

d) I did not complete the homework reading

Finish Height box plots.

Mention google news for "box plot" or boxplot, google scholar [any time since 2013], including connections to the social sciences, medicine and sports and google images including the Michelson-Morley experiment 1887 led to the acceptance of special relativity...

Worst graph intro, worst graphs cover.

Discuss the homework readings in light of:

Collecting and Presenting Data

Boxplots

Predictors

Unintended Consequences

statistics of nature. If time remains: doodling in math class.

Discuss the literature review/connection component of proj 3 as related to the themes of

Collecting and Presenting Data

Boxplots

Predictors

Unintended Consequences

discuss the homework readings

How many different items were you able to find (take note/highlight) in the homework readings that related to the themes?

a) 0

b) 1-4

c) 5-9

d) 10-14

e) 15 or over

Discuss the measures of centers homework and share from

Typical waiting time at a doctor's office:

a) mean

b) median

c) mode

Hair color:

a) mean

b) median

c) mode

A realtor wants to advertise how inexpensive it is to live in an area:

a) mean

b) median

c) mode

Histogram of the ASULearn random number from 1 to 10 and unintended consequence of deductive knowledge seeming like magic [stock wiz reading too].

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?)

Distance from home bar chart. Armspan bar chart. Height box plots.

1. Show my your hw and begin working on below:

2. Stock Graph and Data Collection

3. ASULearn Anonymous Class Data Collection

4. Work on upcoming hw if you are finished before we come back together

Review via clickers: 1.2 #9, 14, 21, and 24 and 1.3 # 8 and 10

a) lump sum

b) periodic payment

c) loan payment

d) combination of lump sum and periodic payment

e) other

Answer questions on the study guide, ASULearn activities and go over the homework.

If we pay and extra $20 each month on a loan then we will pay

a) less total interest and I have a good reason why

b) less total interest but I am unsure of why

c) more total interest but I am unsure of why

d) more total interest and I have a good reason why

e) the same amount of interest

statistics of nature. If time remains: doodling in math class.

1. When the loan is set up so that there is a 0 balance in the Excel chart the last month, then we can calculate the total interest via:

a) monthly payment x # payments - original loan

b) add the montly interest for each and every month

c) original loan x monthly rate x #payments

d) exactly 2 of a, b, c are correct

e) a, b, c are all correct

2. If I pay extra each month on a loan, my total interest

a) goes up

b) goes down

c) remains the same

3. To calculate how much I pay in total we use

a) lump sum

b) periodic payment

c) loan payment

d) one of the above, depending on the problem context

e) none of the above

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

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

Begin statistics: statistics in the geometry segment and in finance

Mention upcoming hw: 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

In the derivation of the loan formula, we used:

a) x/(x-1) = 1/(1-1/x)

b) the bank earns interest on the lump sum amount while we pay it back via the periodic payment formula so that our payments plus resulting interest equals the lump sum amount plus interest.

c) neither a) nor b)

d) both a) and b)

Discuss local debt. Discuss debt in NC, the US, and the world.

Richard Feynman quotation:

Payday lender in Boone: What is the annual rate?

a) 17.5%

b) 24%

c) 117.5%

d) 455%

e) none of the above

Student loan statement: credit card and finance charges

Discuss good credit

1. Take the Car Loan Practice Problem on ASULearn. Keep track of your formulas with the numbers plugged in and reasoning 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)

Philosophy of loans

Student loan statement.

If time remains, begin Condo and Car Purchases: Decisions, Decisions (Part 1)

Look at the following statements:

1: Looked at the total for each compounding period

2: Looked at the future value of money

3: Found a common piece (1 + rate)

4: Multiplied by the common piece (1 + rate) to obtain a second, similar but shifted viewpoint equation, and then subtracted to significantly reduce the number of terms

5: Took a solution that originally had too many terms and reduced it to something manageable

In the derivation of the lump sum formula, we

a) All of the above

b)All but 4

c)All but 3

d)All but 2 and 4

e)All but 1 and 3

Jeff Weeks. 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.

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

lump and periodic clicker questions

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

Lump sum philosophy.

Review the lump sum equation via clicker questions

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 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]. http://video.google.com/googleplayer.swf?docid=4537231419795681197 [DVD 4:11 - 5:48]

Quotes on taxation. Local to global taxes.

Usury is Piracy

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. 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...

Begin finance.

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

Plimpton Cuneiform 322 and interpreting data

Maddie's video. Discuss the Jeff Weeks interview. Take questions on the activities on the class highlights page. Discuss the local to global theme in this segment.

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

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. Review equations from the geometry segment.

Take questions or comments on the lab or readings. Begin going over the remaining universe Project 1 questions (local to global/universal) via:

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

From 47:46 onwards. Discuss the density equation WMAP and Planck launches.

Portal and Futurama: I, Roommate.

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

Gauss and Lobachevsky's measuring the angle sum

visualizing a hypersphere: Jeff Weeks worksheet [Einstein based his theory of relativity off of Riemann's work on this space]

Begin going over the first four questions from Project 1 - geometry of the earth.

Review

http://www.youtube.com/watch?v=Uzd484Mvm2k

starting at about 4:11, including a 3-torus with only 96 stars

Take any questions on the lab.

Pull up the Klein bottle section of the lab with the pictures.

Review the slinky model of 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).

[~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 to the notes

Turn in the notes before leaving.

In the weeks to come, we will see that there are many real-life applications of hyperbolic geometry, such as models of the internet that hope to reduce the load on routers, building crystal structures to store more hydrogen or absorb more toxic metals, mapping the brain, mapping the universe, and modeling Mercury's orbit.

Discuss physical models of small pieces of hyperbolic space. Crochet model of hyperbolic geometry Reef Crochet reef.

PacMan sequence from

Watch an excerpt 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,

Davide Cervone's Cube Projections.

Where is North?

Highlight some books from my office that are useful for research project 1.

Sphere questions:

Experiencing Geometry by Henderson

Geometry Theorems and Constructions by Berele and Goldman

The Heart of Mathematics by Burger and Starbird

Symmetry, Shape and Space by Kinsey and Moore

Universe questions:

Beyond the Third Dimension by Banchoff

Exploring the Shape of Space by Weeks

Geometry, Relativity and the Fourth Dimension by Rucker

The Heart of Mathematics by Burger and Starbird

Hyperspace by Kaku

The Math Book by Pickover

Shape of Space by Weeks

Symmetry, Shape and Space by Kinsey and Moore

First 3 questions on: Clicker review of Euclidean and Escher.

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.

Poincare's disk model of hyperbolic geometry.

Sphere with Angels and Devils, 1942. Sphere Surface with Fish. 1958

Discuss a computer model of Escher's space called hyperbolic geometry.

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

Register the

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

Of the following, what is the most compelling argument (to you) about ways we could know that the earth was round without modern technology?

a) The sun and moon are round so the earth should be (originally attributed to Pythagoras)

b) Ships disappearing on a clear day appear to sink

c) Stars change as we change latitude and overlaps flip when we pass over the equator

d) Directions of hurricanes change from Northern to Southern Hemisphere (Coriolis force)

e) On midsummers day at noon, Syene (Aswan) made no shadows, while Alexandria did (Eratosthenes used this to calculate the circumference of the earth)

Julian Beever's pavement drawings:

Butterfly

Globe wrong view

Globe correct view

Accident

Think of your favorite cartoon. Is it 2-dimensional or 3-dimensional?

a) 2-D

b) 3-D

c) unsure

Are

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

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.

Advice from last semester.

Julian Beever's pavement drawings:

Butterfly

Globe wrong view

Globe correct view

Accident

1. Perspective Lab Activities

2. Take the ASULearn Mathematical Experiences reflection