Come back together and discuss project 3 and the lab. Liz Colman and Education

David Blackwell.

Andrew Wiles and

Case studies: College Success 3, 5, 6

Success in mathematics reading

Discuss mathematical breakthroughs and revolutions.

David Blackwell.

Andrew Wiles and

Class Statistics and What is Mathematics lab

Finish

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

2. Purchase your stock

3. Statistics Detective Review

4. If finished before we come back together, then review the class highlights page and take notes for project 4.

Come back together. 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

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

Case studies: College Success 3, 5, 6

Take questions on the studyguide, ASULearnquestions or any other material.

a) lost money

b) gained money

c) stayed about the same

Elections continued: 2000 election between Bush and Gore

Discuss the hw readings

Finish 3.4 #11.

Look at succeeding in mathematics:

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

If finished with the lab early, then begin working on project 3.

Back to the classroom. 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

GE experiment

Discuss correlations versus causations

Discuss the Bradford-Hill_criteria

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

Continue 3.4 #11.

Nielsen ratings.

a) ABC

b) CBS

c) NBC

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

Search google news for "box plot"

Search google scholar for "box plot" and boxplot

Google images for boxplot

Boxplot and baseball

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

With regard to the 1936 Landon and Roosevelt election

a) The sample size was not large enough

b) The sample size was not diverse enough

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

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

a) 0

b) 1-4

c) 5-9

d) 10-14

e) 15 or over

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.

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

clicker questions

Go over the hw readings.

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

Begin 3.4 #11.

Finish the statistics of nature

Discuss the hw readings and mention project 3.

Discuss the measures of centers homework and share from

a) mean

b) median

c) mode

Histogram of the ASULearn random number from 1 to 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 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. Distance from home bar chart. Armspan bar chart. Height box plots.

1. Stock Graph

2. ASULearn anonymous data collection.

3. Work on hw for tomorrow if you are finished before we come back together

4. statistics of nature

1. Finish #8 on Condo and Car Purchases: Decisions, Decisions (Part 2)

2. 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.

Credit cards and finance charges

Review via clickers:

a) lump sum

b) periodic payment

c) loan payment

d) combination

e) other

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

statistics of nature

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)

Together, go over the condo/car lab part 1: 1, 4, 7, and 9-13 via the clickers.

Student loan statement.

Look at debt hw and You Try It 3.4 page 30.

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

Richard Feynman quotation:

a) 17.5%

b) 24%

c) 117.5%

d) 455%

e) none of the above

Student loan statement.

Credit cards and finance charges.

2: If finished early, then go through the class highlights page and begin to collect items for Project 4

Take the 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).

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

Review the lump sum equation via clicker questions

Discuss clicker questions #2.

Compare the philosophy to the lump sum formula derivation and to Jeff Weeks.

Search google news for lottery winner lump.

Continue lottery questions.

Picture of Excel work, Excel work file. Picture of Excel solutions, Excel solution file. Discuss real-life rates.

Jane and Joan on ASULearn. If you are finished early, then continue working on Project 2 (see the main calendar page)

Review the Jane and Joan extra credit.

Review the Pythagorean Theorem from the test.

Quotes on taxation. Local to global taxes. Review the Lump sum philosophy.

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.

Benjamin Franklin's Will - Part 1 (Lab)

If finished before we come back together, Choose a city - Boston or Philly. As you read through the following links, take notes on or copy any info into a Word processor that relates to your city (directly or indirectly):

Benjamin Franklin's Will - News Article Web Readings

If time remains, 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

http://video.google.com/googleplayer.swf?docid=4537231419795681197 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?

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

Plimpton Cuneiform 322 and interpreting data

Usury is Piracy

Go over the Universe lab

Portal and Futurama: I, Roommate.

Discuss test 1 and the study guide.

Discuss the homework reading interview with Jeff Weeks.

Mention Project 4.

My own research as part of a theme of success in mathematics for Project 4.

Discuss percentages and the prevalence of equations in and outside of mathematics. Review the equations in this segment.

Reflect on equations in the context of "what is mathematics" and as a way to connect from the geometry segment to finance.

Discuss each of the hw readings, including Gauss' experiment and MAP data (WMAP) and the Planck Probe.

The Shape of Space Video - this 11-minute animated video produced by The Geometry Center introduces the two-dimensional space of flatland, looks at possible shapes for flatland from the perspective of three dimensions, and represents those shapes of space in two dimensions. Then the animation uses the same kind of representation to look at possible shapes for three-dimensional space. Viewers are taken on a ride across the boundless three-dimensional surface of a three-torus and a four-dimensional Klein bottle. As viewers see these imaginary universes from inside the spaceship, they experience the illusion of seeing copies of the universes.

Universe lab

If time remains before we come back together, take a try of the ASULearn practice quiz.

Use tape to make an equator. Begin going over Project 1 and the global questions from Project.

What does our universe look like, how do we know, and how do we represent it? 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: testing2.mov [32 min]

Lab Clicker questions

In the Poincare disc computer model of hyperbolic geometry, which is like Escher's

a) The Pythagorean theorem holds

b) They Pythagorean theorem fails since a

c) They Pythagorean theorem fails since a

d) The Pythagorean theorem is sometimes satisfied but other times violated

e) There is no way to determine whether it holds

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.

2-D universe lab If finished before we come back together, work on project 1.

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

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

3) Are

Where is North? Register the i-clicker. Review Euclidean geometry including angle sum and the Pythagorean theorem. Escher's space and perspective geometry, including angle sum and the Pythagorean theorem.

Escher's space and Poincare's disk model of hyperbolic geometry.

Escher drawing

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

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.

Advice from last semester. 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?

Lab work in 205:

1) ASULearn Mathematical Experiences Reflection

2) Perspective lab Activities

3) Are

If time remains before we come back together, then work on homework for tomorrow. Review the activities.