Math 522 Algebraic Thinking

T

Website: http://www.csudh.edu/math/mjones You will find the syllabus and course assignments on the
website.

Office: NSM A-120 phone: (310) 243-2410

Office Hours: M

M

T 8:

W

And by appointment

**Text and Materials**: *Fostering Algebraic Thinking*, by Mark
Driscoll, Heinemann, *Algebraic
Thinking*, Barbara Moses, ed., NCTM; a graphing calculator; graph paper.

**Course Description**: This course is designed for
you to learn algebraic thinking and research about the teaching of algebraic
thinking.

**Goals**: Students will understand

- The use of mathematical language as distinct from
everyday language
- Polynomials, especially linear and quadratic
polynomials, their algebra, and their applications
- Properties and operations with integers, rational
numbers, and real numbers
- The notion of function and the functions common
to introductory algebra
- Habits of mind and how they relate to success in
mathematics, especially
- Generalization
- Specialization
- Connecting multiple representations
- Problem-posing as a tool of algebraic thinking
- Current research in algebraic thinking and the
teaching of algebraic thinking

**Expected Outcomes**: Students will be able to

- Model teaching techniques to assist students in
deciphering the language of mathematics
- Explain operations with polynomials using the area
model
- Explain the effect of the coefficients of a
polynomial on its graph
- Pose and solve problems involving questions about
the behavior of polynomials
- Pose and solve problems involving properties of
numbers and number patterns
- Use multiple representations of functions
(including graphing calculators) to give multiple solution methods to
problems
- Create appropriate contexts which require a
specified function or type of function
- Utilize knowledge of current research to inform
teaching practice

**Assessment**:

You will be assessed in the
following categories:

Homework 98 points

Journal 42 points

Midterm 140 points

Final __220 points__

Total 500 points

*Homework*: You will be assigned homework problems
weekly, and homework will be due each Tuesday.
If you cannot be in class, have someone turn your homework in for you or
turn it in to my office on the day it is due.
Late homework is not accepted.
Full credit (7 points) is given if all work is completed and
correct. A score of 6 points is given to
work that is complete but not all correct.
A score of 5 points or fewer indicates that not all the homework was
done.

*Journal*: Each week will involve two journal
entries: One entry will be a reflection
on the week’s assigned reading, and the second will be an end-of-class
reflection. Journals will be collected
three times over the semester: September
21, November 2, and December 7.

The *Midterm* will be given on Tuesday, October 19 at the beginning of
class.

The* Final* will be held on Tuesday, December 14,

**Grading Scale**: A: 92%
or better, A-: 88-91%, B+: 84-87%, B:
81-83%, B-: 77-80%,

C+: 74-76%, C:
71-73%, C-: 68-70%, D: 65-67%, F 64% or below

**Make-up Policy**: I do not accept late or make-up work. If you experience a major emergency, special
arrangements may be made at my discretion.

**Academic integrity** is expected. I enforce
university policies on academic integrity.
In particular, cheating, fraud, plagiarism or other academic dishonesty
is unacceptable and will be cause for disciplinary action.