Fundamental Math Concepts for Teachers I

Math 105 (call number 25963)

Autumn Quarter, 2010

Instructor: Sergei Chmutov

Classes: Monday, Wedsday 5:30-7:35 p.m. at O-101.

Carmen: https://carmen.osu.edu

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 is the first course in the three-course sequence of Math 105, 106 and 107. Math 105 focuses on concepts of number systems and operations. The goal of this course is to prepare you to become teachers of elementary and middle school students. Knowing the mathematics for yourself is not the same as knowing the math for teaching. To that end, we emphasize explanations of mathematical ideas. To make this point very clear: Full credit will NOT be given for correct mathematical answers without an explanation that is clear and complete.
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 lecture and recitation. 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.

Overall Grading Scheme:
Attendance & Participation 10%
Homework: 17.5%
Quizzes: 17.5%
Midterm exam: 25%
Final exam: 30%
Final quarter grades will be determined according to the scheme.
A A- B+ B B- C+ C C- D+ D
90 87 83 80 77 73 70 67 63 60

Exams and quizzes: There will be one midterm and one final exams. Most Wednesdays there will be a 15-minute quiz (10 points) on material taken from the homework and activities completed in lecture and recitation since the previous quiz. Activities listed on the syllabus but not completed in class should be finished outside of class on quizzes, you will be responsible for all the material in the assigned activity.

TENTATIVE EXAMINATION SCHEDULE:
MIDTERM Wednesday, October 27. FINAL EXAM Monday, December 6, 6:00-7:48 pm

Homework:
There will be weekly homework assignments. Homework assignments will receive a score out of 15 points: you will receive 5 points for completing all of the problems (less if you do not) and ONE randomly selected problem will be graded on the 10-point scale. The graded problem will be assessed on both the quality of your explanation and the correctness of your solution.

Tentative daily schedule

Handouts

Shepherd's Necklace
A Place of Value      A Place of Value (continuation)
Modeling Integers      Modeling Integers (continuation)
See Carmen for other handouts

Homeworks

HW#1 (Due Wednesday, September 29, before class).
Write up #2a, 2b of "A Place of Value", 1.1: #3, 7

HW#2 (Due Wednesday, October 6, before class).
1.2: #1 , 2.1: #8, 9, 13, 15, 19 , 2.4: #5,7 .

HW#3 (Due Wednesday, October 13, before class).
1.2: #3, 7, 8f, 11d, 1.4: #1, 2.4: #16, 19, 21, 24, 2.5: #3, 14, 15, 17.

HW#4 (Due Wednesday, October 20, before class).
1.3: #3, 12, 2.6: #4, 8, 10, 11, 15, 18 (solve with pictures).

HW#5 (Due Wednesday, October 27, before class).
3.1: #1ab, 2, 4a, 3.2: #9, 10, 3.3: #4, ,5, 13, 3.4: #7, 12, 13.

HW#6 (Due Wednesday, November 3, before class).
3.5: #1, 4.1: #1, 2, 7, 4.2: #2, 4.3: #1, 8, 10, 14.

HW#7 (Due Wednesday, November 10, before class).
4.4: #5, 7, 10, 16, 4.5: #3, 14, 15, 4.6: #10, 13, 5.1: #1, 4, 7, 14.

HW#8 (Due Wednesday, November 17, before class).
5.2: #3, 11, 5.3: #1, 5.4: #3(a,b), 4, 6.1: #1, 6, 6.2: #1, 5.

HW#9 (Due Wednesday, November 24, before class).
6.3: #3, 8, 24, 25, 6.4: #2, 4, 10, 6.5: #4, 11, 14, 6.6: #3, 6.