Written work, due Tuesday, November 19th, in class:
Chapter 8: 3, 4, 7, 18, 19, 20
Chapter 9: 3, 4, 5
WeBWorK – none
OpenLab – none
Project – Initial Draft of paper due in class next Thursday, 11/21 (feedback will be sent by email to group members).
Final Draft of paper due in class on Thursday 12/5.
Group Presentations on Thursday, 12/5.
In his essay A Mathematician’s Lament, Paul Lockhart says “A good problem is something you don’t know how to solve.” This is quite different from most of the “problems” that appear in our mathematics education. In the past weeks, you’ve all spent some time individually and in groups working on such problems, in the context of graph theory (“Bridges and Walking Tours”).
As a group, write an account of your experiences working on your puzzle/problem. You should include the following elements:
I will be meeting with each group next Tuesday, November 14th, in class. Please be in touch with your other group members before then! Be prepared to discuss your progress so far – at the very least, you should be able to describe how you are dividing up the work of the paper among your group.
The first draft of this assignment is due in class on Thursday, November 21. Each group should submit one paper, of no less than 1500 words. You may decide as a group how to divide up the work. Be aware that you will be asked at a later time to describe your own specific contributions as well as those of each group member.
The final draft of this assignment is due in class on Tuesday, December 5.
REGARDING SEMESTER PROJECT: As you may recall from the Course Description, the semester project is worth 10% of your overall grade. The project consists of a number of interrelated activities (many of which have already been completed) – complete details can be found on the Project Overview & Deliverables page. The group paper assigned here forms a significant portion of the project.
Group 1: Song Yu, Randy, Aurkaw
A diagram is solvable when a diagram has a greater than or equal to a number of vertices with an even number of adjacent lines than the number of vertices with an odd number of adjacent lines. And a line graph is solvable by choosing either of the endpoints of a line.
Group 2: Youshmanie, Dylan:
A puzzle is solvable with a bit string where the length is the total number of points and the elements are the amount of bridges connected to each point in descending order then the pattern is solvable for any other puzzle with the same bit string.
Assignment. Your goal for today is to refine the conjecture you decided on during your last class meeting. Some things to consider:
GROUP CONJECTURES SUBMITTED AT END OF CLASS TODAY:
Written work – Due Tuesday, November 12, in class:
Chapter 7: 5, 6, 7, 9, 12
WeBWorK – none
OpenLab – none
Project – First draft of your group paper is due in class on Thursday, 11/21.
EXAM #3 will take place on Tuesday, 11/26 (right before Thanksgiving break).
Sorry! See you in class.
Hi everyone,
Your Midsemester Grades (including your grades for Exam #2) are posted on the OpenLab Gradebook (Dashboard / OpenLab Gradebook). You will see that your grades for Exam #2 as well as your current Homework, OpenLab, and Project grades have been posted.
Your Midsemester grade is based on the following work completed so far:
Homework 30%, OpenLab 25%, Exams 45%
Midterm grade key:P: passing/satisfactory progress; likely to complete course requirements.U: failing/unsatisfactory progress; not likely to complete course requirements.BL: borderline; barely passing or just below passing; there is a reasonable expectation that the student will pass the courseSA: stopped attending; for students who were attending (at least once) and have now have stopped attending your class.WN grade: Student never attended. Do not assign this grade. This information was based on the “ verification of attendance” (VOA) roster you submitted at the 3rd week of the semester.
Let me know if you have any questions.
Regards,
Prof. Reitz
Your assignment for the coming week+ is to try to prove the conjecture that your group created in class on Thursday, 10/24. You may need to refine/expand your conjecture first (let’s discuss this in class). You must spend at least 90 minutes working on this. Trying to prove something can consist of many different activities, such as the following (you do NOT have to do all of these things – you can choose how to spend your time – they are provided for inspiration only).
As you work, keep track of what you are doing, thinking, and feeling (this is metacognition – an idea that discussed way back in OpenLab #2). What did you do during the time you spent? Did you create any puzzles? Did you solve puzzles? Did you change your mind about whether the conjecture is true or false? Did you have any new ideas about how to prove the conjecture? Did you have any ideas that you gave up on? How did you feel as you worked – were you frustrated/confused/happy/depressed? Why? Did your mood change along the way?
Assignment (Due Thursday, 11/7): Submit a journal of your efforts in the comments below. Your response should be at least 300 words. Describe what you did during the 90 minutes you worked, and express in some way what you were thinking and feeling during the process. Your response can include puzzles (use sketchtoy.com) or other work you did along the way.
Extra Credit. Respond to a fellow student’s comment. Did you do similar things? Different things? Do you have any suggestions for them? Be kind.
Group 1: Song Yu, Randy, Aurkaw
Group 2: Youshmanie, Dylan
Written work, Due Tuesday, November 5th, in class:
From last week: Chapter 4: 27, 28, Chapter 5: 29, 31
Chapter 6 p.116: 3, 4, 5, 8, 9
WeBWorK – none
OpenLab – OpenLab #6 due Thursday, November 7th
NOTE: As a component of OpenLab #5, each person should bring to class a conjecture or question about the Bridges and Walking Tours game.
Group Activity (30 min). Get into your groups, arrange your chairs in a circle, and take 30 minutes to complete the following:
1. Each person should share their conjecture with the group. For each conjecture, the group should decide if they think it is true or false (or don’t know). The group should record their conclusion for each conjecture.
2. Choose one conjecture (or create a new one) to focus on as a group. Your goal for the next few weeks will be to try to prove or disprove this conjecture. Come up with several ideas about how you might prove it.
Group work due after 30 minutes: Each group will hand in a sheet of paper with the names of the group members, the date, and the following:
– Each member’s conjecture, along with a brief description of what the group thinks – is it true or false?
– Be sure to clearly indicate which of the conjectures the group has chosen to work on – or, if you have created a new conjecture to work on as a group, include that as well.
– Two different ideas about how you might try to prove the chosen conjecture.
Reflection: To be completed individually after group work is complete, and submitted on paper with your names and the date. Take 5 minutes to write on the following prompt:
Briefly reflect on the process of working in a group by responding to each of these points:
1. Describe something you learned.
2. Describe something you contributed to the group.
3. How did today’s work change your understanding of the “bridges and walking tours” game?
Written work, Due Tuesday, October 29, in class: Chapter 5: 1, 4, 9
GCD Problems: Because of the exam, these problems will not be due until Tuesday, November 5:
Chapter 4 p.101: 27, 28
Chapter 5 p.110: 29, 31
WeBWorK – none
OpenLab – none
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