Math
310 Fall 2010
Instructor: Mary Rosen
Office: 408 Santa Susana Hall
(formerly: Faculty Office Building)
Email: mary.rosen@csun.edu
Phone: 818 677-7791
Website: www.csun.edu/~hcmth045
Office hours: T,Th 3:30 - 5:00
and 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, and a compass.
Expectations:
Classes
will be conducted primarily in the form of lectures. You are expected
to take complete notes, to participate
in class
activities, and to ask questions about what you do not understand.
Attendance
is mandatory.
Calculators:
Calculators will
not be allowed for any exams or quizzes.
Tutoring: In addition to
my office hours, free tutoring is available for Math 310 students in
the Math Tutoring Center. The center will be in a new location - LO1319 (Live Oak). The center
will open the second week of classes; days/times to be announced.
FINAL EXAM: Saturday, December
11, 11:30 - 1:30 (room to be announced)
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 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
Homework Assignments and
Solutions:
General instructions: Avoid
unnecessary writing. Make your answers short and clear.
Assignments
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 - 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 - 6, 8 - 10 Section 1.4 solutions
Read Sect. 2.1 and do problems: 1 - 6, 10, 12, 13 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 - 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 (with correction) 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; Solutions: Section 9.2a, Section 9.2b,
Section 9.2c
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, 10, 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
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