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 Dec 3** Hand back and go over test 3.
What is Mathematics

**Tues Dec 4** Collect personal reflection. Go over the
review lab. Take questions on the final project. Present final project
abstracts. Evaluations.

**Mon Nov 26**
Sound
of the Big Bang,
Statistics Detective review.
Read through all the remaining links on the main web page.
If time remains, then choose something to work on.

**Tues Nov 27**
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 Nov 29** Test 3

**Mon Nov 19** Use the syllabus
and your grades on WebCT to estimate your course average
[assume that you will receive a 14/15 on your final project]. Show
Dr. Sarah and then
send a posting on WebCT that includes your participation grade [out of 20 -
most people will have a 16 here],
your test
average [convert this to a grade out of 35], your project average
[convert this to a grade out of 30], your final average as it stands now,
and feedback from you on group work effectiveness [if you feel you deserve
the same 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).]
Case studies on success.
If time remains before we come back together,
work on homework for tomorrow (see the main web page).

**Tues Nov 20**
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 12**
Heart of Math Interactive Histogram.
December, 1969 Vietnam Draft, data.
Part 1
Part 2

**Tues Nov 13**
Name history.
True that double true icebreaker using yarn. Hold one end of the ball of
yarn. Throw to someone, saying their name, and ask two questions, holding
onto the yarn, one related to mathematics and the other related
to something else. When the person answers the questions, if there are
others in the class who agree with them, say "true that". If you
strongly agree, say "true that/double true". Everyone continues to hold
onto the yarn as it is thrown to other people who have not had it yet - the
questions can change.
Take questions on the Ben Franklin project.

**Thur Nov 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...

**Mon Nov 5** Measures of
Center If time remains before the class discussion,
work on upcoming homework or class projects.

**Tues Nov 6**
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 8**
Collect hw.
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.
Go over the Ben Franklin criteria.
Linear Regression worksheet and HDYK 3.4 #15 parts b) and c).

**Mon Oct 29**
Go over Web Problem. Then work on the
Condo lab. If time remains,
work on homework for Tuesday.

**Tues Oct 30**
Collect homework.
Finish the Condo lab and work on
8.5x11 sheet with writing on both sides. Do the Interview Activity.
Go over work and take questions on the WebCT quiz, etc.

**Thur Nov 1** Test 2

**Mon Oct 22**
Collecting Data
Mathematics in the brain.

**Tues Oct 23**
Loan payment formula.
Student loan statements.
Condo work.

**
Thur Oct 25**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 15** 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 Oct 16**
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.
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 Oct 18**
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 8**
Frank Morgan (195?-) - Jennifer, Katie, and Rachel

Ingrid Daubechies (1954-) - Casey, Kuldeep, and Matt

Dr. Sarah (1969-) - Kristi and Zach

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.

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.

**Tues Oct 9**
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 142 years compounding monthly versus annually.
Each student comes up with their own formula.
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.
Group Juggle. Reflect and relate to information coming in during
finance and stats.

**Mon Oct 1**

Leonardo da Vinci (1452-1519) - Liz and Samantha

Carl Friedrich Gauss (1777-1855) - Ron and Trey

Sophie Germain (1776-1831) - Ashley, Jerome, and Kendra

Florence Nightingale (1820-1910) - Alex and Sabrina

Gauss and Non-Euclidean geometry
Sophie Germain primes and Decoding the Message p. 95
Heart of Matheamtics.
DodgeBall
worksheet

**Tues Oct 2**

Georg Cantor (1845-1918) - Andrew and Brooke

Root 66.
p. 110 Heart of Mathematics.
Apu and pi. Review DodgeBall and use it for the
Cantor worksheet. p. 162
Heart of Mathematics.

Albert Einstein (1879-1955) - Heather, Kristen, and Sarah

Einstein's
Explanation,
Einstein Exhibit.

**Thur Oct 4**

Mary Ellen Rudin (1924-) - Josh and Tiffany

Topology

Fern Hunt (194?-) - Anita, Anna, and Jessie

Visualizing
DNA
Campylobacter jejuni
E. Coli

Stephen Hawking (1942-) - Josh and Graham

Quote,
Stephen
Hawking's Universe

If time remains, group juggle.

**Mon Sep 24**
Hand back tests.
Mention mathematician paper references,
web reference
posting on
WebCT, and Powerpoint tips.
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,
work on homework for Tuesday or Thursday.

**Tues Sep 25** Go over test. Share a web researched quote about
what mathematics is and the person's name. Andrew Wiles
worksheet. Work on
the Dodge Ball worksheet.

**Thur Sep 27**
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.
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 Sep 17** Class discussion about the homework readings.
Geometry of the universe.
Take a try of WebCT quiz 2. If time remains, work on the
study guide.

**Tues Sep 18**
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.
Copyright statement.
**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 20** Test 1

**Mon Sep 10** Share something from
the homework readings or last class.
Mention the Computer Information Sheet.
Try to download
Torus Games.
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. Take a try of WebCT quiz 1. Hand back Project 2 and discuss
Project 3.

**Tues Sep 11**
Class discussion on homework readings.
Discuss the torus tiling view and the
Klein tiling view.
Hand out the Jeff Weeks worksheet.
Prepare to share something you found interesting from the text, and why
you chose what you did, and complete the activities.
Then examine study guide for test 1
to work on during class.

**Thur Sep 13**
Class discussion on homework readings and hyperbolic homework. Go over the
remainder of the questions on
project 2.
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
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. Mention
PowerPoint Tips and other
digital presentation options. If time remains, do Who Am I?

**Tues Sep 4** Collect geometry reports and begin going over
answers to the earth questions.

**Thur Sep 6** Research for a quote about mathematics and
on mathematicians.

**Mon Aug 27**
Share something from the readings on perspective drawing or the round
earth or that you learned last week. Meet our IA Zachary Beam as he
shares some of his responses to Project 1.
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. IRB form.
If time remains, then work on Project 1.

**Tues Aug 28**
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

**Thur Aug 30**
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.
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.

**Tues Aug 21**
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. If time remains, then
time to work on project 1.

**Thur Aug 23**
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. Discuss whether mathematics arises from nature
or whether we impose our mathematical discoveries onto nature.
Choose a random number between 1 and 10. Discuss and relate to where
mathematics comes from. Advice from previous students about success in
class via learning evaluations.