Mathematical Concepts for Elementary Teachers II -- Math 300 -- Fall 2004
Class Meeting Time: Section 1 - Tuesday/Thursday 2:20 - 3:45 Serra Hall 211
Instructor: Dr. Lynn McGrath
Office: Serra Hall 171 G
Email: lmcgrath@sandiego.edu
Phone: 619-260-7955
Office Hours: Mon. 1:00 - 2:30, Tues. 4:00-5:30, Wed. 9:00 - 10:00, Thur. 10:30 - 11:30 , and by appointment (to set up an
appointment you must email me your request).
Required Texts: A Problem Solving Approach to Mathematics for Elementary Teachers, Billstein, Libeskind, and Lott , Eight Edition.
Required Supplies: Compass and ruler.
Course Web Site: http://www.sandiego.edu/~lmcgrath/COURSES/mth300.html
Purpose of the Course:
Math 300 is a
content course
designed to improve, broaden and deepen your proficiency,
appreciation and understanding of mathematics. Issues such as "the mathematics kids need to know" and "the methods
for teaching elementary school mathematics" will be addressed in your mathematics methods course.
As future teachers you will be responsible for the mathematical education of children. One of the most important
gifts you can give children is to help them grow as discoverers, inventors, and users of mathematics in order to better
understand the world. Children can become powerful mathematical thinkers if the learning environment is structured so
that children's work in mathematics more closely resembles the work of mathematicians in the field. Since doing
mathematics often involves ill-defined situations and complex problems, young mathematicians must develop persistence
and flexibility, build on one another's ideas, and communicate and justify their findings. In order for you, the teacher, to
help children develop these life-long skills, you too must be successful, confident problem-solvers with a deep
understanding of fundamental mathematics.
There will be almost no lecturing in this course. To help you develop your intuitive reasoning and problem-
solving skills, we will spend most of our class time working on problems in small groups.An
important part of learning to solve problems is the willingness to struggle with a problem even after you get stuck, and
this is one of the first things you will face this semester. You may be surprised by how much you can do if you just keep
at it!
Goals for the Course:
By the end of the course, you will:
Learn to value mathematics
Become confident in your ability to do mathematics
Become mathematical problem solvers
Learn to communicate mathematics
Learn to reason mathematically
Course Expectations
What I expect from you:
You will think of yourself as a future teacher, and will act in a professional and ethical manner as befits
the teaching profession. There are people who like mathematics and people who don't like mathematics. Regardless,
mathematics is a subject that is taught every day in the elementary school, so teachers must have a positive
attitude towards mathematics.
You will take the responsibility for your own learning. You will strive to make sense of mathematics. You will not
settle for rules or formulas unless those rules and formulas are fully understood.
You will work actively with your peers, sharing, taking and giving.
You are expected to have mathematical skills from previous coursework and you are responsible for exhibiting those
skills before you can receive a passing grade in this course. The prerequisite skills requred for this course will not
be taught in class. However, I am available for help during office hours.
What you can expect from me:
Respect and encouragement. I respect your decision to continue your education. I assume you are here because
you want to be, just as I am. We share a common desire to grow as teachers and learners. You can expect our time
together to be productive.
I will provide the learning environment and opportunities for you to improve, broaden and deepen your understanding
and appreciation of mathematics. I will provide the support necessary for you to succeed in this course, both in and out of
class. I am available during my office hours and by appointment, as well as via email.
Attendance Policy
You may miss up to two classes (excused or not) without penalty; after that is affects your grade. Arriving late or leaving
early counts as half an absence.
Earning Points
Problem Solving Presentations.............................................................10%
Homework and Quizzes......................................................................20%
Exam 1 (Tuesday, Oct. 5 )...............................................................17.5%
Exam 2 (Tuesday, Nov. 9 )...............................................................17.5%
Final Exam (Thursday, Dec. 16 - 11:00-1:00)...............................................25%
Community Service Learning and Class Participation ............................................... 10%
Problem Solving Presentations
You will do problem solving presentations this semester. On each Thursday, group activities posing a mathematical problem will be
administered in class. Each member of your group must be prepared to present the problem in class on Tuesday. I will choose a student at
random from each group to present.
At each presentation the following will hold.
Each presenter will complete:
a presentation of a mathematical problem
a written self-reflection on the presentation
a written explanation of their solution to the problem
set up a 15 minute feedback session with the faculty/faculty group
Each viewer of the presentations will complete:
a written evaluation of peer presentations
Presentation Guideline will be provided in class.
Homework Homework will be assigned at each class and collected
during the following class. All work turned in for a grade must be neatly and clearly written up
to receive any credit. You are allowed one late homework. It must be submitted
with a late homework voucher. Once you have used your late homework voucher,
no late homework will be accepted under any
circumstances.
Quizzes Quizzes will be administered upon my discretion.
Exams There will be 2 in class exams in the course. The dates are given
above.
Cheating Please be aware of the academic integrity policy of
this University. Cheating and plagiarism are serious offenses and will be
treated seriously. Although I encourage you to study together, unless
specifically designated as a group assignment all work you hand in should be
your own.
Accommodations Any student with a documented disability needing
academic adjustments or accommodations is requested to speak with me during
the first two weeks of class. All discussions will remain confidential.
A student attempting to access Disability Services for the first time should begin by contacting the Director of Disability
Services and/or the Learning Disabilities Specialist in Serra Hall, Room 300 (619/260-4655).
It is the student's responsibility to schedule an "intake" meeting with the Director as soon as possible.
call Disability Services at: 619-260-4699.
Community Service Learning Component: Family Math Night:
Our class will be holding a Family Math Night for Longfellow Elementary
School families
on November 15, 2004 from 5:00-8:00pm. Dinner will be provided. You are required to attend Family Math Night (this is part of your Community Service).
Each group of 2 students will develop a "worthwhile mathematical task" appropriate for elementary school
children and their parents. Our goals for the school are to provide positive mathematics experiences for the families, to
engage children and their parents in mathematical thinking, to give children an opportunity to see that their parents value
mathematics and to help students discover the fun of doing mathematics, reinforcing their positive attitudes.
Benefits for you:
Make connections between the mathematics you are learning and mathematics that sparks an interest in elementary
school children and their families.
Recognize the need for a deeper understanding of mathematics.
Experience working with elementary school children and their parents.
Develop and experience worthwhile mathematical activities.
Your tasks:
Develop the activity and present it at the Family Math Night.
A report including a description of the development process of your "worthwhile mathematical task," your experience
during the math family night, lessons learned, and your reflections. I will give more details.
Tutoring :
This semester you have an opportunity to provide a service to our community and gain valuable
experience as a Mathematics tutor for a child in elementary school. The Community Service Learning office
at USD provides transportation to the school.
Benefits for you:
Make connections between the mathematics you are learning and that taught in elementary school.
Reinforce your understanding: If you can verbalize and explain a concept to someone else, you really understand the
concept.
Tutors feel great satisfaction when they help others become successful.
Participating in this activity can be a nice addition to a job application, resume�,school application, etc.
Being a role model for an elementary school child. You will hopefully have the chance to work with your child's
family at math family night.
Your commitment:
Spend at least 10 hours of tutoring (one hour per week)
Learn about your child's mathematical thinking and share your insights with the class.
Turn in a reflection journal, I will provide the format for the journal.
For the tutors: You will need to get proof that you have had a TB test in the past year.