# In-Class Group Project Activity 10/29/15 – Refine Your Group Conjecture

Assignment.  Your goal for today is to refine the conjecture you decided on during your last class meeting.  Some things to consider:

• Specificity: The conjecture should be stated clearly.  It should include all information necessary to be understood by someone who is familiar with graph theory terms (vertex, edges, paths) and familiar with the assignment (walking tours).  A reader should be able to tell from the statement whether a conjecture applies to a given drawing or not.
• Generality: Your conjecture should apply to more than just a single specific graph (it can apply to a collection of similar graphs, for example, as long as you describe exactly what types of graphs you are considering).
• Drawing: You can create a drawing to accompany your conjecture, but your conjecture should be understandable without the picture.
• You can revise your conjecture as a group if you wish – but try to come up with something similar.
• You can extend your conjecture to include more types of graphs.

# Group 4 Conjecture

Group 4: Daniela, Ryan, Yuyu, Fuzail

# Group 3 Conjecture

Group 3: Xiong, Abdelmajid,Sarah, Mei

# Group 2 Conjecture

Group 2: Deborah,Josiel, Sanaya, Irania

# Group 1 Conjecture

Group 1: Samuel, Kenny, Rahat, Justin

# OpenLab #6: Lockhart’s Lament

In 2002, a mathematician named Paul Lockhart wrote an essay called “A Mathematician’s Lament,” a passionate criticism of mathematics education in America.  It has become widely known among mathematicians and mathematics educators – not everyone agrees with everything he says (though many do), but everyone seems to have something to say about “Lockhart’s Lament,” as it is called.  For this week’s assignment, you will read a short excerpt (three pages) from his essay and respond to the prompts below.

Assignment (Due Thursday, 10/15/14). Your assignment has three parts:

First, read the section titled “Mathematics and Culture” (pages 3-5) in Lockhart’s essay, (click here).  If you’re interested, I encourage you to read more, starting at the beginning – but this is not required.

Second, write a response to what you read and post it in the comments below.  Your response should be at least 300 words. Your response should represent your own thoughts and opinions on what you read, and can include responses to any or all of the following:

• What is one thing that you agree with in the reading? Explain why.
• What is one thing that you do not agree with? Explain.
• Choose one quote that you think stands out in the reading.  Give the quote, and explain why you chose it.
• Have you ever had an experience of mathematics as art?
• On page 5, Lockhart describes mathematics in schools today as “heartbreaking”.  What do you think he means?  Do you agree? How do your own math experiences in school compare to his description?