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 28 Hand back test 3. Review lab on
What is Mathematics?
Tues Apr 29
Collect personal reflection. Go over the review lab. Take questions on
the final project. Present final project abstracts. DXC? Evaluations.
Mon Apr 21 Sound of the Big Bang,
Statistics Detective review.
Use the syllabus
to give yourself a participation grade [out of 20 -
many people will have a 16 here, but it depends on your absences,
discussion during class, hw that received checks instead of grades,
whether you were prepared for each class, etc]
and message that to Dr. Sarah on ASULearn
along with feedback on group work effectiveness [if you feel you deserve
grades as your partners, just say so. If not, please explain why you deserve
a higher or lower grade and specify which project(s) this relates to and the
name(s) of your partner(s).]
Read through all the remaining links on the main web page. If time remains,
then choose something to work on.
Tues Apr 22 Take questions for the statistics test.
Share from the statistics in the media project.
Thur Apr 24 Test 3
Mon Apr 14
Heart of Math Interactive Histogram. Part 1 Part 2. Work on
hw readings for Thursday or Project 5 for Monday.
Tues Apr 15
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...
Thur Apr 17
Share from Heart of Mathematics readings. Review literary digest poll on Roosevelt/Landon election from 1937. Discuss linear regressions of Buchanan 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 7
Representations of Data
Tues Apr 9
Give numbers and then use the random
number sequence generator.
Discuss Measures of Centers homework. Share from Chapter 3 Section 1 of
How Do You Know. Skits on
classroom success and related
studies. Discuss ethics of
data. We wish for many studies repeated by many people to attempt to
isolate hidden, underlying issues.
How should we personally and as a society respond (locally, globally) to
statistical studies such as those that are environmental, like tuna fishing,
Thur Apr 11
Collect hw. Finish skits and classwork from Tuesday.
Review music choices and compatibility issues (measuring "difference"
in music tastes via looking at vertical distance between points)
Review Vietnam Draft info.
Linear regression via does Volume predict High in stock market.
Then do How Do You Know p. 185# 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
How Do You Know 3.4 #15 parts b) and c).
Mon Mar 31
Check your course average on ASULearn [Participation and the Final
Project have just been estimated from last semester's class average, so yours
may be lower or higher. Accommodations for extenuating circumstances
have not been included in this average]. Look at extra credit
opportunities on the main webpage.
Mathematics in the brain.
Tues Apr 1
Give each person a few minutes to come up with 1 truth and 1 lie, like
[I play the violin. I was born in Charlotte, NC].
Use the random
number sequence generator
to call on students to come to the front of the room. Student gives name,
and their statements, and the class decides. Relate to statistics.
Stock bar graph and median, mean,
and standard deviation.
A bar chart of armspan containing mismeasurements, and discuss what happens
when they are removed. Pie charts.
Take questions on Ben F.
Thur Apr 3
Hand out Portions of the Class Data.
Review bar chart from Tuesday including
how you can tell whether the mean will be above or below the median.
Random number from 1 to 10:
poll and histogram. Excel analyses,
including the observed value, the value expected if the data was
equally distributed, the chi-square test and the p-value (are the
observations statistically significant or can the differences
be ascribed to random variations of chance?).
Music choices and compatibility issues (measuring "difference" in
music tastes via looking at vertical distance between points)
December, 1969 Vietnam Draft, data,
introduction to scatterplot, line of best fit, and boxplots.
Starr [relate to
the theme of shifting viewpoint, like Andrew Wiles].
Boxplot of height separated by gender that
includes outliers (ie how the boxplot changes with the outlier is removed).
Thur Mar 27 Test 2
Mon Mar 17 Collect homework. Then work on the
Condo lab. If time remains,
1) Real-life rates homework for Tuesday
2) ASULearn Anonymous Class Data Collection
3) Stock market homework.
4) ASULearn Material Review Questions
Tues Mar 18
Go over credit card statement and payday lender info. Go over ways to build
good credit. additional class work
Thur Mar 20
Have students put up solutions to the How Do You Know problems.
Intro to statistics via GE Study
and line up by thumb size activity.
Go over 4-6 on class work, and compare
to table 2 and table 3 on the condo lab. Review for finance test.
Mon Mar 3
Mention upcoming anonymous class data collection on ASULearn.
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 before we come back together,
work on homework on the main webpage.
Tues Mar 4
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
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.
Thur Mar 6
Loan payment formula.
Student loan statements. Discuss currency and debt in NC, the US, and the
world. Condo work.
Mon Feb 25
Danica McKeller (1975 - ) by Danielle, Gabriela, Morgan, and Sarah
Magnetised Iron Bar
Terrence Tao (1975 - ) by Cody, Kerry, and Sean
Heart of Mathematics
infinitely many primes, Arbitrarily Long Professions of Primes,
Finish up the thematic issues of the mathematician segment.
Discuss simple interest,
different interest bearing accounts, and taxes.
cuneiform babylonian interest
Plimpton Cuneiform 322 and interpreting data
usury interest Babylonian
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.
Tues Feb 26
Discuss 142 years compounding monthly versus
annually. Each student comes up with their own formula. Discuss what
you would do if you had $1 million to spend in 24 hours and the ethics of
spending. 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?
What 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 Feb 28
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 periodic payment understanding and compare the philosophy
to the lump sum formula derivation and to Andrew Wiles and Fermat's Last
Theorem (philosophy slides).
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.
Mon Feb 18
Leonardo DaVinci (1452-1519) by Katy, Meg, and Steve,
Perspective Mona Lisa,
The Last Supper,
Florence Nightingale (1820-1910) by Elisabeth, Maggie, and Martha,
Srinivasa Ramanujan (1887-1920) by Lillian and Sommer,
Sum of Two Cubes
and Ramanujan's contributions
and prime numbers.
Tues Feb 19
David Blackwell (1919 - ) by Cara, Dana, Donlee, and Kelly
Friend or Foe
Mary Ellen Rudin (1924 - ) by Andrew, Joel, and Lauren Lilley
John Nash (1928 - ) by Allison, Lauren Fabri, and Rachel,
Thur Feb 21
Stephen Hawking (1942 - ) by Cat, Colleen, Deidra, and Sandi
Karen Uhlenbeck (1942 - ) by Arden, Ginny Kirk, and Kayla,
Slope of a Line, Slope = 0 equation, the idea of calculus,
Equations of Nature
Begin finance. How much money do you have with you?
Mon Feb 11
Hand back tests.
Mention Project 3.
The Proof A Nova video about
Princeton University Professor Andrew Wiles and Fermat's Last Theorem.
Fill out Andrew Wiles. Mathematician
choice. If time remains,
work on homework for Tuesday and Thursday.
Tues Feb 12
Share a web researched quote about
what mathematics is and the person's name. Andrew Wiles
worksheet. Work on Project 3.
Thur Feb 14
Go over test 1.
Carolyn Gordon PowerPoint and
Carolyn Gordon worksheet.
Dr. Sarah gives groups feedback about Project 3 as groups work on their
Mon Feb 4 Class discussion about the homework readings.
Universe lab. Take a try of
ASULearn Material Review Quiz [participation requires at least one try
of the quiz, but the specific grade is not used by Dr Sarah]. If
time remains, work on the
Tues Feb 5 Review activities. Play a section from
Flatland the Movie. Review the 4th
physical dimension and its applications, and some of the shapes that might
be the shape of the universe:
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.
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 12, and
the relationship to the
current mathematical attempts to classify the
hyperbolic possibilities, including the
Weeks example. Review
current attempts including
Curved Spaces. Group Juggle.
Take questions on the study guide.
If time remains, examine
Thur Feb 7 Test 1.
Mon Jan 28
Share something from
the homework readings or last class.
Try to download
Discuss Game: Tic-Tac-Toe, Options: Human vs. Human, Topology: Torus or Klein
Bottle. If that doesn't work, use
web version. 2D Universes and class discussion on worksheet. Work on project 2. Organize the class into
problems they are working on for discussions.
Tues Jan 29
Go over Project 2 problems,
1-7, and briefly discuss problems 8-11.
Thur Jan 31 Share from the readings.
Jeff Weeks worksheet.
I, Roommate from Futurama
My research and the relationship to the shape of the universe. Brief intro
to my own research and how it fits into these ideas, and my
mathematical style in a
digital presentation that is a model for the
Highlight the theme of diverse ways to succeed in mathematics and
"making the material your own."
Review the Pythagorean Theorem on the sphere by the Greenwaldian Theorem
in Bender's Big Score.
Tues Jan 22
Where is North?
Review Escher's space.
Discuss a computer model of Escher's space called hyperbolic geometry.
Sketchpad - Straight Lines in
Discuss the sum of the angles in a triangle as well as the
Pythagorean Theorem in Hyperbolic geometry via the
Discuss physical models of small pieces of hyperbolic space.
Extra credit crochet model of
hyperbolic geometry (for me to keep). Name history.
Discuss the problems in Project 2
Thur Jan 24
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. In addition, the class examines
how the mathematicians discuss doing mathematics and where it comes from.
Discuss the video. Hand back project 1 and go over the grading.
Go over Are the Simpsons 2-D or 3-D?
PacMan sequence from Futurama (Anthology of Interest II)
and a tiling view versus folding up the space (where PacMan would see his
back). If time remains,
review main web page including updated homework.
Mon Jan 14
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 prepare to share something to 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.
Meet our IAs Terrell Wilson and Andrew Wright as they
shares responses to Part 1 of
Tues Jan 15
Review and go over the syllabus. Picture permission form.
Escher and the sum of the angles of a triangle in his work:
Sun and Moon.
Worksheet on Escher.
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 previous students about success in
class via learning evaluations.
Thur Jan 17
Share something from the readings on perspective drawing or the round
earth or that you learned last week.
Go through Readings and
Activities on Perspective Drawing and Projective Geometry.
Be sure to fill in the paper copy of the
the material is presented.
Count number of letters in first name and pair up with someone who has the
same number of letters and find something you have in common.
Then share the names and the commonality.
Reflect on the relationship to class - start with a topic, look at it from
a mathematical viewpoint, find common patterns, and relate it back to
real-life. If time remains, then work on Project 1 in