Dr. Sarah's Math 1010 Class Highlights
### Dr. Sarah's Math 1010 Class Highlights

The following is NOT HOMEWORK unless you miss part or all of the class.
See the Main Class Web Page
for ALL homework and due dates.

**Thur Dec 7** Final project poster presentations.
0,
1,
2

**Mon Dec 5**
Review lab. Hand back test 3.

**Tues Dec 6** Collect personal reflection. Go over the
review lab. Take questions on the final project. Evaluations.

**Mon Nov 27**
Collect WebCT quiz questions (hw).
Sound
of the Big Bang, discussion of Ben Franklin project, discussion of
the recent statistics in the media project,
Statistics Detective review.
Read through the
Final Project and the
Study Guide. Choose something to work on.

**Tues Nov 28** Share from the statistics in the media project.
Go over WebCT quiz questions from Monday's homework.
Review for statistics test. If time remains, relate DXC quotes to personal
reflection.

**Thur Nov 30** Test 3

**Mon Nov 20**
Heart of Math Interactive Histogram.
Part 1
Part 2

**Tues Nov 21** Finish classwork from Thursday. Share from
Heart of Mathematics readings.
Review literary digest poll on Roosevelt/Landon election from 1937. Discuss
linear regressions of Buchanon votes in Palm Beach and the butterfly ballot
and highlight the problems with making predictions far away from your data.
Unintended consequences via raising airline prices. Discuss HIV testing
issues and unintended consequences of medical and policy decisions such as
testing everyone in the US for HIV.

**Mon Nov 13**
Go over test 2. Discuss Project 5 and Project 6
and Dr. Sarah reviews her answers for Part 2, and addresses Part 1 also, as
does our IA.
Go over the homework.
Search googlenews for histograms. Search for the history of histograms.
Search googlenews for boxplots. Search for the history of boxplots
and information about its creator. Search for a picture of the creator.
Search googlenews for regression. Search for the history of regression.
Search for information about its creator and a picture.
Search for information relating to Project 6 and one of these statisticians.
Students use the grading policy to compute their grades at
present in Excel. Web searches for Project 4.

**Tues Nov 14** Students are called on to share things from the
Heart of Math readings.
Music choices and compatibility issues (measuring "difference" in music tastes via looking at vertical distance between points)
music 1
music 2. Begin linear regression via does Volume predict High in stock market. Then do p. 211 # 11. Discuss the actual predictor value, the estimated predictor values from a graph or via a line fit by eye, and related issues. Linear Regression worksheet and HDYK 3.4 #15.

**Thur Nov 16** Begin modeling critiques for Project 5 via the
theme of success in mathematics:
Discuss the effect of teacher expectations on
students, ask students to share experiences where teacher
expectation affected them, and then discuss related quotes from NCTM.
Discuss biased MRT instructions and ask students to share their reactions
to them. Discuss the SAT and whether the SAT should predict college
scores. Discuss gender and multicultural issues on test taking, and discuss stereotype vulnerability via students reading selections from FairTest Examiner Stereotypes Lower Test Scores, and Claude Steele has Scores to Settle. In groups of 2 or 3: Discuss situations where text anxiety or performance anxiety have hindered you. Discuss whether you or someone you know have ever experienced something similar to stereotype vulnerability as part of some kind of group (for example, gender, race, math phobic, "good" or "bad" student...) where external expectations from someone else (teacher, society, parents, friends... ) affected your performance in one way or another. Groups share their experiences with the class. Relate to MRT test. Discuss things we would like to see to back up the articles.
Discuss Lawrence Summers comments and Carolyn Gordon's response.
Women in math stats and studies, Representations of mathematicians,
American Competitiveness, Leaving Boys Behind...

**Mon Nov 6**
Mean, Median, Mode lab

**Tues Nov 7**
Discuss homework.
Discuss bar charts including how you can tell whether the mean will be above or below the mean. Discuss standard deviation (distance from home, height, untimed MRT), a bar chart of armspan containing mismeasurements, and discuss what happens when they are removed. Histograms (distance from home with a class size of 100), pie charts (class year), "bad" graphs. Intro to Boxplots via a boxplot of height separated by gender, and the meaning of boxplots. Boxplot of distance from home and of height separated by gender that includes outliers (ie how the boxplot changes when the outlier is removed).

**Thur Nov 9**
Collect hw. Questions on Ben Franklin.
Time to meet with Dr. Sarah about Ben Franklin, work on that, or work on
the Heart of Math readings due on Tuesday.

**Mon Oct 30**
Go over Web Problem. Then work on the
Condo lab. If time remains,
work on homework for Tuesday.

**Tues Oct 31** Colect homework.
Finish the Condo lab
and then work on the study guide. Take questions on the WebCT quiz, etc.

**Thur Mar 23** Test 2

**Mon Oct 23**
Collecting Data
Mathematics in the brain.

**Tues Oct 24**
Loan payment formula.
Student loan statements.
Condo work.

**Thur Oct 26**
Go over credit card statement and payday lender info.
Go over ways to build good credit.
Finish condo work and then
work on HDYK Exercise Set 1.2 #9, 14, 21, 24 and Exercise Set 1.3 #8, 11
and be prepared to present them next week.

**Mon Oct 16** Intro to Goal Seek and Solver in
Excel via Lisa's Thrifty Savers
savings account from Bart
the Fink. Ben Franklin's Will -
Part 1. Work on the
Class Data Collection Sheet and the
Stock HW.

**Tues Oct 17**
Go over $37 problems and formulas. Go over
Jane and Joan extra credit (excel sheet)
by using goal seek to discuss
what interest rate would result in equal savings for them both.
Do problems by hand and/or
on Excel.
Picture of Excel work,
Excel work file,
Picture of Excel solutions,
Excel solution file.
Go over main class web page and Ben Franklin writing project.
Highlight the Dec 2002 $315 Powerball winner in Hurricane, West
Virginia who had a choice of 30 annual payments or one
lump sum payment of $170.5 million.

**Mon Oct 9**
cubes
Visualizing
DNA
Campylobacter jejuni
E. Coli
Compute the area of a square and cube with perimeter/circumference of 4pi.
Shape of Bubbles
Double Bubble
digital image
pollen
pollen 2
Yoda
JPG vs
wavelets create a digital image
Finish up the thematic issues of the mathematician segment.
If time remains, search for
real-life rates.
Collect information that you receive in
the mail, search on the web
and/or go to a bank
to find real interest rates on...

savings,
checking accounts,

cds (certificate of deposit),
credit card rates,

student loan rates,
house loan (mortgage) rates,

and car loan rates.

Write up your findings and be sure to include the source of each rate.

**Tues Oct 10**
Begin lump sum formula via compounding annually. Then compounding quarterly, and then the general lum sum formula. Compounding monthly. 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 if

-the bank will compound 8% each and every month (ie 96% per year!)

-the bank means that 8% is the annual rate.

Which did the bank really mean?
Discuss other possibilities for unknowns in the lump sum formula - the time length, the rate, or the number of times compounding per year, and set up the Simpsons thrifty saver account for Monday.

**Thur Oct 12**
Review lump sum formula and the philosophy we used to come up with it
and review how much we will end up with if
$100 is deposited into an account and left alone for 25 years,
compounded monthly at 5%.
Compare to $100 deposited every month into an account and left
alone for 25 years, compounded monthly at 5%.
Work towards the periodic payment formula and compare the philosophy
to the lump sum formula derivation.
Transparencies from class
$100 is deposited each month for 12 years into an account compounding
5% monthly. How much do we end up with?
We'll do an exercise to show that the number of digits we use does matter!
100 is deposited each month for 12 years
into an account compounding 5% monthly. What do we have at the end?
The interest rate is .05/12=.004166666... Each group of 3
used a different number of digits and rounding versus truncation methods
(ie .004,.0041, .0042,.00416, .00417,.004166, .004167, .0041666, .0041667
). The group helped each other with their calculators and made sure that
they all came up with the same answer.
We compared the final answers to show that we should **never round
until the final answer**. If time remains then work on
problems and then
Jane and Joan.

**Mon Oct 2**
One of Fuller's calculations
Living
Witch of Agnesi
Gauss and Non-Euclidean geometry
Sophie Germain primes and Decoding the Message
Review DodgeBall
worksheet and use it for the
Cantor worksheet.

**Tues Oct 3**
Finish up work from Monday.
Hand out
Sum of
Two Cubes for homework and discuss
Ramanujan's contributions
and prime numbers.
Erdos worksheet

**Thur Oct 5**
Collect and discuss Sum of Two Cubes worksheet. Finish up activities from
Tuesday.
Friend or
Foe, the Prisoner's Dilemna, and David Blackwell.
I asked for two volunteers without telling the class why, and then had them
play for money. At the same time,
I asked every person in the class to mark down friend or
foe, and then I did another round where I called
on the people myself (using their previous choice).
PowerPoint
Topology and Mary Ellen Rudin
Complex numbers, Evelyn Boyd Granville's Abstract, and
orbit
computations

**Mon Sep 25**
Powerpoint tips
Share something from the homework readings and
a web researched quote about what mathematics is.
Intro to video,
The
Proof A Nova video about
Princeton University Professor Andrew Wiles and *Fermat's Last Theorem*.
Fill out Andrew Wiles.

**Tues Sep 26**
Andrew Wiles worksheet. If time remains look at additional
extensions of the Pythagorean Theorem:
FLT
intro and Scarecrow's Theorem.

**Thur Sep 28** Collect bullet points for mathematician project.
Begin finance by talking about interest. Discuss simple interest,
different interest bearing accounts, and taxes.

cuneiform babylonian interest

CUNEIFORM TABLET

Plimpton Cuneiform 322 and interpreting data

usury interest Babylonian
money

Usury is Piracy

Quotes on taxes.

Watch Homer get into tax trouble in Trouble with Trillions.
Search for Homer's paycheck and then
fill out a tax return together for Homer Simpson.
Discuss advice for Homer based on the segment.

**Mon Sep 18** Share something from the homework readings.
Take questions on the homework readings.
Geometry of the universe

**Tues Sep 19** Review:
Review the 4th physical dimension and its applications,
the hypercube via excerpts from
Davide Cervone's Selected Course Notes,
why the universe is not thought to be a hypercube,
and some of the shapes that might be the shape of the universe:
**Euclidean**
10 Euclidean possibilities, including Escher's
"Another World" and the Futurama video reference to
Escher's 1953 "Relativity" when Fry and Bender look for an apartment.
Complete the related
*Futurama* worksheet.
**Spherical**
a number of
the infinite but known spherical possibilities
via Davide Cervone's Spheres Sliced in 2D and 3D and
excerpts from Week's paper on Topological Lensing in Spherical Spaces
page 1,
page 12, and
the relationship to the
Spherical
Applet, and
**Hyperbolic**
current mathematical attempts to classify the
hyperbolic possibilities, including the
Weeks example.
The
differences between the geometries
and
current attempts
to determine the shape of the universe,
including
Cosmology
News. Take questions on
the study guide.

**Thur Sep 21** Test 1

**Mon Sep 11**
Share something from the homework readings.
Mention the Computer Information Sheet.
2D Universes. Class discussion
on worksheet.
Hand out Jeff Weeks worksheet due Thur
and the study guide for test 1.
Time to work on that worksheet or look at
mathematician
references
**Tues Sep 12**
Assign mathematicians.
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.
**Thur Sep 14** Share something from the homework readings or Jeff
Weeks worksheet. Continue to discuss the video.
Carolyn Gordon PowerPoint and
Carolyn Gordon worksheet.

**Mon Sep 4** Labor Day

**Tues Sep 5**
Collect geometry reports and begin going over answers to the geometry of the
earth questions. Hand out the differences sheet.

**Thur Sep 7**
Review class from Tuesday and continue going over project 2 questions.
Go over *Are the Simpsons 2-D or 3-D?* responses including the PacMan
sequence from *Futurama* (*Anthology of Interest II*)
and a tiling view versus
folding up the space. Brief intro to my own research and how it fits into
these ideas, and my mathematical style in a
powerpoint presentation that is
a model for the next segment. Highlight the theme of diverse
ways to succeed in mathematics and "making the material your own."
Discuss the mathematician segment.
If time remains, begin
the DodgeBall
worksheet and play a few games of
HEXI

**Mon Aug 28**
Introduction to Hyperbolic
Geometry
Share something from the readings on perspective drawing.
Go through Readings and
Activities on Perspective Drawing and Projective Geometry
Be sure to fill in the paper copy of the
worksheet as
the material is presented.
Watch Homer^{3} again and look for the use of perpective drawing.
Hand out Project 2.

**Tues Aug 29**
First review models of hyperbolic geometry.
Discuss some of the answers for
Project 2
as they relate to hyperbolic geometry.

Sketchpad Problem 1 and 2
Problem 1 and 2 Image,

Sketchpad Problem 3
Problem 3 Image

Sketchpad Problem 4
Problem 4
Image

Sketchpad Problem 5
Postulate
Problem 5
Image

Sketchpad Problem 7
Postulate
Problem 7
Image.

Divide up the problems.
Highlight creative web searching info - the importance of a "-"
a synonym like sphere, spherical, and quotes around phrases.

**Thur Aug 31** Partners conduct research for their group
report and report back to Dr. Sarah on the WebCT bulletin board.

**Tues Aug 22**
Fill out index sheets.
Introductions. Brief intro to the course and model a search on

history "liberal arts"

Begin geometry of our earth and universe.
Discuss *How could we tell that the earth is round instead of flat
without using any technology (ie if we were ancient Greeks)*?
Make a list of ideas on the board.
Watch video excerpts and 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.
Begin Project 1 with
Are *The Simpsons* 2-D or 3-D?.
Discuss course via the main web page,
Syllabus and Grading Policies,
and attendance policy. Mention office hours.

**Thur Aug 24**
Review.
Escher and the sum of the angles of a triangle in his work:
Sun and Moon.
Worksheet on Escher.
(number 2).
Quotes from Escher on how he does mathematics
and where it comes from. Class time to discuss Project 1.