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.

**Mon Apr 23** Review Lab
Hand back and go over test 3.

**Tues Apr 24** Collect personal reflection. Go over the review
lab. Take questions on the final project. Share final project
abstracts. DXC reflection. Evaluations.

**Mon Apr 16**
Sound
of the Big Bang, discussion of Ben Franklin project, discussion of
the recent statistics in the media project,
Statistics Detective review.
Read through all the remaining links on the main web page.
If time remains, then choose something to work on.

**Tues Apr 17**
Share from the statistics in the media project. Go over WebCT quiz questions
that are turned in as homework. Review for statistics test. If time
remains, relate DXC quotes to personal reflection.

**Thur Apr 19**
Test 3

**Thur Apr 12**
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 Apr 2** Heart of Math Interactive Regression Line
Regression Part 1
Regression Part 2

**Tues Apr 3** Go over homework. Time to work on projects.

**Thur Apr 5** 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 Mar 26**
Measures of Center

**Tues Mar 27**
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 Mar 29**
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.

**Mon Mar 19**
Go over Web Problem. Then work on the
Condo lab. If time remains,
work on homework for Tuesday.

**Tues Mar 20** Collect homework.
Finish the Condo lab and work on
8.5x11 sheet with writing on both sides.
Go over work and take questions on the WebCT quiz, etc.

**Thur Mar 22** Test 2

**Mon Mar 5**
Collecting Data
Mathematics in the brain.

**Tues Mar 6**
Loan payment formula.
Student loan statements.
Condo work.

**Thur Mar 8**
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 Feb 26** 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. If time remains, work on the
Class Data Collection Sheet and the
Stock HW.

**Tues Feb 27**
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. If time remains then work on
problems and then
Jane and Joan.

**Thur March 1**
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 Feb 19**
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, work on
Project 6

**Tues Feb 20**
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.

**Thur Feb 22**
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.

**Mon Feb 12**
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 Feb 13**
Finish up work from Monday.
Hand out
Sum of
Two Cubes for homework and discuss
Ramanujan's contributions
and prime numbers.
Erdos worksheet

**Thur Feb 15**
Discuss Sum of Two Cubes worksheet. Recent Results
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 Feb 5**
Hand back tests.
Mention mathematician web references and
Powerpoint tips.
Share a web researched quote about what mathematics is and the person's name.
Intro to video,
The
Proof A Nova video about
Princeton University Professor Andrew Wiles and *Fermat's Last Theorem*.
Fill out Andrew Wiles. If time
remains, look at the
mathematician web
references and the Powerpoint
tips

**Tues Feb 6** Go over test. Andrew Wiles
worksheet. Work on
the Dodge Ball worksheet

**Thur Feb 8**
Search for a picture for Jeff Weeks.
Demonstrate inserting a picture into PowerPoint, saving it as lastname.ppt
and uploading it to the WebCT bulletin board. Mention the addition of
one guideline.
Carolyn
Gordon PowerPoint and
Carolyn Gordon worksheet.
If time remains look at additional
extensions of the Pythagorean Theorem:
FLT
intro and Scarecrow's Theorem.

**Mon Jan 29** Class discussion about the homework readings.
Geometry of the universe

**Tues Jan 30**
Break up into 13 groups and divide up the mathematicians.
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 Feb 1** Test 1

**Mon Jan 22**
Share something from the homework readings
or the video from Thursday.
Mention the Computer Information Sheet.
2D Universes and class discussion
on worksheet.
Hand out Jeff Weeks worksheet due Thur
and the study guide for test 1.

**Tues Jan 23**
Collect geometry reports and begin going over answers to the earth
questions.

**Thur Jan 25** Review class from Tuesday. share
something from the homework readings or the
Jeff Weeks worksheet.
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 Jan 15** MLKJ Day

**Tues Jan 16**
Review Escher's space.
Discuss a computer model of Escher's space called hyperbolic geometry.

Sketchpad - Straight Lines in
Hyperbolic Geometry
Image.

Discuss Playfair's Postulate.

Sketchpad - Parallels in Hyperbolic
Geometry
Image

Discuss the sum of the angles in a triangle as well as the
Pythagorean Theorem in Hyperbolic geometry via the
hyperbolic worksheet.
Discuss physical models of small pieces of hyperbolic space.
Extra credit crochet model of
hyperbolic geometry (for me to keep).
Discuss the problems in
Project 2.
Share something from Project 1.
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 (where PacMan would see his
back). Review main web page including updated homework.
Mention learning evaluations again.
Discuss Watauga College.

**Thur Jan 18**
In groups, discuss what you would like to see
in a Watauga Math class - content, teaching and learning methods...
Groups share their ideas.
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.
Discuss the video. Hand back project 1 and go over the grading. Discuss
WebCT bulletin board posting for Monday and hw readings from main page.
If time remains, you can work on Project 2.

**Mon Jan 8**
Fill out index sheets.
Introductions. Brief intro to the course.
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. Perform a related web search.
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. Time to work on
Project 1.

**Tues Jan 9**
Review and go over the syllabus.
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. Advice from previous students about success in
class via learning evaluations. Class time to discuss Project 1.

**Thur Jan 11**
Share something from the readings on perspective drawing or that you
learned in the last class.
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.