Math
310 Fall 2010
Instructor:
David
Klein
Office:
127 Santa Susana Hall (formerly: Faculty Office Building)
Email: david.klein@csun.edu
Phone: 818 677-7792
Website: www.csun.edu/~vcmth00m
Office hours: MW 3 - 3:45 p.m.
&
by appointment
Goals
Math 310 follows Math
210
and is a second semester course
that focuses on
elementary school mathematics. The main goal is to enable you to gain
a solid
knowledge of geometry and learn the probability and statistics you will
need to be an effective teacher. Additional goals of the course are to
teach
you: (i) how to present the material in the
simplest,
clearest way, (ii) the appropriate sequential order for developing
mathematics
skills, (iii) what elementary school students will find difficult and
what errors
they
are likely to make, and (iv) how each topic helps advance the
mathematical level
of the students.
Textbooks
These books will also be useful
after you begin your teaching career.
Materials
You will need a
ruler to measure inches and centimeters, a protractor, a triangle
(called a "set square"), and a compass.
Grading
Policy
There will be 2 in-class exams, each
worth 100 points, and a
final exam worth 200 points. In addition,
there will be some quizzes based on homework
assignments, each worth 30 points. Missed exams and quizzes will count
as 0 points. Only under unusual circumstances
(such as
illness with a doctor's written excuse) will make-ups be allowed
or averaging
of other grades permitted.
Participation in class will be evaluated subjectively. Attendance
is mandatory. Positive
contributions include sincere questions and comments. Disruptive
behavior that interferes with instruction will contribute negatively
to your final grade. Since
this is a course for preparing future teachers in the classroom,
developing a professional attitude is important.
Professional attitude includes being engaged in the class, and able to
work with others in a positive and constructive manner.
Homework
Homework
will
be assigned daily in class, but not collected. However,
quizzes will include exact assigned homework problems.
It is important to attempt all assigned problems. Do not let yourself
get
behind the
class! As in
most math
courses, the material progressively
builds upon itself. If you do not understand a particular topic ask in
class or during office hours.
Calculators:
Calculators will
not be allowed for any exams or quizzes.
Dates of Exams and Quizzes
Dates of in-class Exams and Quizzes will be announced in class and
posted here...
Quiz 1: Wed. Sept. 15 on
Chap. 1 and Sect. 2.1
Quiz 2: Wed. Sept. 29 on
Sect. 2.2 through Sect. 3.1
Quiz 3: Mon. Nov. 14 on
Chapters 5 and 6.
Exam 1: Wed. Oct. 20 on
Chapters 1 through 4
Exam 2: Mon. Dec. 6 from
Chapters 5 through 9
Final Exam Date: Dec. 11,
2010 11:30 a.m. - 1:30 p.m., in Sierra Hall 102
Some References and Tools for the
Course
"High
Achievement in Mathematics: Lessons from Three Los Angeles Elementary
Schools"
Solving Algebra and Other Story
Problems with Simple Diagrams: a Method Demonstrated in
Grade 4–6 Texts Used in Singapore by Sybilla Beckmann
Videos
and explanations of Compass and Straightedge constructions
Student
Practice
Problems for grades 1 to 8 (Algebra I) California Math Standards
Overhead
Slides
from The
Winning Equation An inservice program for Grade 4-7 teachers
Student behavior, academic
dishonesty,
university policies
Please arrive on time and avoid leaving early. No text
messaging. Cell phones and computers should be turned off during
class.
Please be aware of the University's Student Conduct Code available at:
http://www.csun.edu/a&r/soc/studentconduct.html
Free Tutoring
Free tutoring for
Math 310 students is available in the Math Tutoring
Center in Live Oak 1319 (a new location), during
the following
times:
Tutoring
Specifically for Math 210/310
| Mon & Thurs |
10:00-12 |
Tues
|
10:30-1:30, 2-3:30 |
Wed
|
10:30-3:00 |
General Math Tutoring (incl Math 310)
| Mon - Thurs |
10:00-5:30 |
| Friday |
10:00-3:00 |
Homework Assignments and
Solutions:
It may help with some of these problems to read examples of
Teacher Solutions here: Solving
Algebra and Other Story
Problems with Simple Diagrams: a Method Demonstrated in Grade 4–6 Texts
Used in Singapore
Read pages v to x at the beginning of the textbook
Read Sect. 1.1 and do problems: 1 - 4, 7, 8 Section 1.1 solutions
Read Sect. 1.2 and do problems: 2, 3, 4, 6, 7, 10-14 Section 1.2 solutions
Read Sect. 1.3 and do problems: 1bc, 2-5, 6bcd, 7, 8abc, 9-12 Section 1.3 solutions
Read Sect. 1.4 and do problems: 1, 4, 5, 6, 8, 9, 10 Section 1.4 solutions
Read Sect. 2.1 and do problems: 1- 14 Section
2.1 solutions
Read Sect. 2.2 and do problems: 3 - 8 Section
2.2 solutions
Read Sect. 2.3 and do problems: 1-3, 5, 6, 7 Section
2.3 solutions
Read Sect. 2.4 and do problems: 1-4, 6, 7, 9-11 Section 2.4 solutions
Read Sect. 2.5 and do problems: 4-8 Section
2.5 solutions
For help see: Videos
and explanations of Compass and Straightedge constructions
Read Sect. 3.1 and do problems: 1-6 Section
3.1 solutions
Read Sect. 3.2 and do problems: 3-7, 8 (3f, 4d, 4i, 4j) Section 3.2 solutions
Read Sect. 3.3 and do problems: 2-9 Section
3.3 solutions
Read Sect. 4.1 and do problems: 1-10 Section
4.1 solutions
Read Sect. 4.2 and do problems: 3, 6, 7, 8, 9, 11 Section 4.2 solutions
Read Sect. 4.3 and do problems: 1-10 Section
4.3 solutions
Read Sect. 4.4 and do problems: 3-8 Section
4.4 solutions
Read Sect. 5.1 and do problems: 3 - 7, 10, 11 Section 5.1 solutions
Read Sect. 5.2 and do problems: 2-5, 8, 9, 11 Section 5.2 solutions
Read Sect. 5.3 and do problems: 1, 2, 4, 6, 7, 9, 11, 12, 14 Section 5.3 and 5.3b solutions
Read Sect. 6.1 and do problems: 2 - 5, 6adef, 7ab, 8, 9, 10, 12 Section 6.1 solutions
Read Sect. 6.2 and do problems: 2abc, 4, 5, 8, 10, 11, 13, 15 Section 6.2 solutions
Read Sect. 6.3 and do problems: 1, 2a, 3, 4, 5, 7 - 11, 13, 14, 16 Section 6.3 solutions
Read Sect. 7.1 and do problems: 1, 3 - 10, 12, 13, 14 Section 7.1 solutions
Read Sect. 7.2 and do problems: 1 - 5, 8, 9 Section 7.2 solutions
Read Sect. 7.3 and do problems: 6, 8, 11, 12, 14, 17 Section 7.3 solutions
Read Sect. 8.1 and do problems: 3 (Prob 17
a,b,c,d,g,j), 4, 5, 7 - 10 (Extra area
problem practice: Exercise 2) Section
8.1 solutions
Read Sect. 8.2 and do problems: 2-7 Section
8.2 solutions
Read Sect. 8.3 and do problems: 2, 3, 5, 6, 8, 10 Section 8.3 solutions
Read Sect. 9.1 and do problems: 6-10, 11ab Section 9.1 solutions
Read Sect. 9.2 and do problems: 1-5, 7, 8 Section 9.2a, Section9.2b,
Section 9.2c solutions
Read Sect. 9.3 and do problems: 2-7, 9. 11, 12, 14, 15, 16 Section 9.3 solutions
(leave your answers in terms of pi so that a calculator is not
necessary)
Read Sect. 9.4 and do problems: 1-10 Section
9.4 solutions
Read Sect. 9.5 and do problems: 1-5, 9-11 Section
9.5 solutions
Read Sect. 10.1 and do problems: 1be, 3a, 5(probs. 2, 4 only) Section 10.1 solutions
Read Sect. 10.2 and do problems: 3ab, 6, 7, 8, 9a, 11 (Group B in Prob
9 only), 12 Section 10.2 solutions
Read Sect. 10.3 and do problems: 1-4, 6, 8, 10, 11, 12, 15 Section 10.3 solutions
Optional:
Read Sect. 10.4 and do problems: 2-5 Section
10.4 solutions
Sample Final Exam Problems:
Solutions are posted here by section:
Solutions
Sections A & B
Solutions Section C
Solutions Sections D & E
Solutions Section F
Solutions Section G
Alternate Solutions Section G
Solutions Section H
Solutions Section I
Solutions Section J
Solutions Section K
Solutions Section L
A Proof for #1
Solutions Section M
Solutions Section N