Topics in Mathematics for Elementary Teachers

Math 107 (call number 20691)

Winter Quarter, 2011

Instructor: Sergei Chmutov

Classes: Monday, Wedsday, Friday 10:40--12:00 at BF-239.


TEXTS: Mathematics for Elementary Teachers (3rd edition) and Activities Manual, by Sybilla Beckmann (These are packaged together. The ISBN for the package is: 0321654277).

Course Description and Expectations: This course is the third in a sequence of courses (Math 105, 106 and 107) with the goal of preparing you to teach. The goal is not only to prepare you to explain new mathematical content (Number Theory, Algebra, Sequences and Series, Functions, Counting, and Probability, Number Theory), but to help you further develop your abilities to speak and write clearly about mathematics. As you begin teaching, you will discover (as we all do) deficiencies in your own understanding that will require learning on your own. A goal of this course is to help you learn how to learn. As an added benefit, your experiences in this course may help you begin to reflect on how people learn mathematics.
Attendance and participation is critical to your success in this class. Each class will consist of doing an activity in a small group and discussing it with the whole class. You are expected to participate actively in all phases, so please bring the Activities Manual to each class. Explaining your thinking verbally in small and large groups will prepare you to explain mathematics with your students. It will also help you clarify your own ideas and/or questions.
Reading is crucial because we do not teach using the traditional lecture format. Reading assignments are designed to provide the explanation and summary of material that are not provided in class. You are expected to complete all reading assignments. You will find the Practice Problems and their solutions particularly helpful.

Homework: There will be daily assignments. Your solutions will not be collected. I encourage you to work with your classmates on the assignments.

Tests and quizzes: Every Friday will be a test or a quiz. On quiz you may use any material in you own handwriting, including class notes and assignment solutions.
There will be two midterms and one final exams. You may use your calculator. You may not use your text, notes, or solutions to assignments. Except for extraordinary reasons, you must take the examinations at the scheduled times.

MIDTERM I Friday, January 28. MIDTERM II Friday, February 18.
FINAL EXAM Monday, March 14, 6:00-7:48 pm

TOTAL POINTS POSSIBLE: Each quiz will be graded out of 50 points. The lowest grade will be dropped and the average of the remaining quiz scores will be the total quiz grade.

Quizzes 50 Midterms 2x100 Final exam 150 TOTAL 400

A A- B+ B B- C+ C C- D+ D
90 87 83 80 77 73 70 67 63 60

Tentative daily schedule


HW#1     Sec.8.1, p.317 (Sec.12.1, p.653): #2, 5, 7, 8
HW#2     Sec.8.2, p.323 (Sec.12.2, p.659): #1, 2, 4, 7, 8
HW#3     Sec.8.2, p.324 (Sec.12.2, p.660): #15, 17, 19
HW#4     Sec.8.3, p.330 (Sec.12.3, p.667): #1, 2, 3
HW#5     Sec.8.3, p.330 (Sec.12.3, p.667): #5, 6, 7
HW#6     Sec.8.4, p.334 (Sec.12.4, p.672): #6, 7, 9, 11
HW#7     Sec.8.5, p.338 (Sec.12.5, p.676): #10, 11, 12, 13
HW#8     Sec.8.6, p.349 (Sec.12.6, p.688): #1, 3, 4, 5

HW#9     Sec.9.1, p.363: #1, 2, 17, 18 (Sec.13.1, p.708: #1, 2, 25, 26)
HW#10     Sec.9.2, p.373: #8, 9, 14, 15
HW#11     Sec.9.4, p.386: #8, 14, 22, 25 (Sec.13.2, p.728: #15, 21, 29, 32)
HW#12     Sec.9.5, p.394 (Sec.13.3, p.740): #2, 6, 10, 13
HW#13     Sec.9.6, p.401: #2, 3, 5, 7 (Sec.13.4, p.750: #3, 4, 6, 8)

HW#14     Sec.16.1, p.678: #1, 3, 4, 5 (Sec.15.1, p.839: #1 ,---, 3, 4)
HW#15     Sec.16.2, p.684: #1, 4, 5, 6
HW#16     Sec.16.3, p.690: #1, 2, 3, 4 (Sec.15.1, p.840: #9 , 10, 11, 12)