Math
210A: Concepts of Elementary School
Mathematics I
Semester: Spring 2009
Instructor:
Jill Kitzmiller
Telephone:
619- 594 – 5711(SDSU)
Office:
H-208 Office Hours: T/Th 5:10 – 5:30 or 6:50- 7:20 by appointment
E-Mail:
jkitzmil@sdccd.edu
Web site:
http://faculty.palomar.edu/jkitzmiller/
Book and supplies: Reconceptualizing
Mathematics:
Preliminary Edition by Sowder and Instructional packet for Math 210A (available at KB books), and calculator (if desired, but not allowed for use on
tests). Manipulatives will be supplied for class work, you may choose to
purchase/make versions for your own use.
Website:
Please bookmark the website above for use throughout the semester. The
website contains information relevant to this course, including copies of the
syllabus and schedule and problem logs. Also there are copies of my handouts not included in
your packet. If you are absent for any reason, please print your own
copies of any handouts missed. Exam keys will also be posted after each
exam is graded. The main page of the website also contains an
article on how the brain learns mathematics, which may be informative/helpful
for yourself or your students.
Course Description: This course is a study of the mathematical concepts needed for teaching
elementary school mathematics with emphasis on number and function. This course
promotes an appreciation of the importance of logical thinking and applications
of mathematics in problem solving and critical thinking.
It studies the basic computational skills, but also requires the
understanding and explanation of the basic mathematical concepts and the
connections between them. It is designed especially for students preparing for
credentials in elementary education. Analytical
reading and problem solving are required for success in this course.
Teaching elementary school
children is a great responsibility. You will be shaping
the citizens of the future. Hence it is vital that you be prepared for
this very rewarding, though challenging
position. To ensure you have the necessary background and materials to
successfully teach mathematics in your
classroom, the Math Department at
Mesa
College
has developed the curriculum for Math 210A,
210B, and 212. Note that the courses are entitled
“Concepts of Elementary School Mathematics” not “Elementary School Mathematics”.
Students are expected to be proficient in the arithmetic of real
numbers (including fractions, decimals, and percents) as well as basic
geometry and geometric formulas before they begin these classes. The
instructors will be facilitators of your learning by encouraging you to explore
the ‘why’ behind the many rules and algorithms you have learned.
Unlike previous math courses, the student
is expected to struggle with concepts so as to reach a
deeper understanding and be able to make connections between concepts.
The student will be expected to communicate
this deeper understanding both verbally and
with written explanations including the use of diagrams and sketches. The high
expectations for the student are intended to prepare you for the
elementary classroom. Completions of the
minimum requirements for the course will not ensure
an A.
Student
Learning Outcomes:
Upon successful
completion of the course the student will be able to:
1.
Analyze the structure and operations of various place-value systems.
2. Analyze the structure and operations of integers.
3. Model rational fractions and decimal fractions using manipulatives and their
arithmetic operations.
4. Explain the place of decimals, percents and irrational numbers in the real
number system and use them to solve problems.
5. Use the properties of the different number systems and their relationship to
standard and non-standard algorithms in solving
problems.
6. Categorize different number patterns, including linear and quadratic, and
represent them with various methods.
7. Solve non-traditional word problems and explain your reasoning8. Apply number
theory concepts to solve problems.
Prerequisite: MATH
096 with a grade of "C" or better, or equivalent. or Assessment Skill
Level M50
Advisory: ENGL
101 with a grade of "C" or better, or equivalent
Attendance Requirements:
It is the student’s responsibility
to add, drop, or withdraw from this class before the appropriate deadlines.
You may (or may not) be dropped by the instructor for non-attendance if
you miss two consecutive class meetings or more than 3 class periods.
If you decide to withdraw from this class, please let me know as a
courtesy. Check the course catalog for drop
deadlines. If you fail to withdraw
from this course before the deadline, you will be assigned a final grade in the
course (even if you stop coming). Regular class attendance is necessary
for success in this course. You are
responsible for all material covered in class during your absence.
Behavior:
You will be asked to leave the
class for one or two class meetings if you exhibit behavior that prohibits or
impedes any member of this class from pursuing any class assignment, objective or
learning opportunity within the classroom. Please be courteous of others, try to be on time, turn off your cell
phone, ipod, computer, or other electronic devices (no headphones in
class), and avoid talking during lectures. It is
assumed that each student will do his/her own work.
If a student is caught cheating on a test, that student will receive a
“0” grade on that exam and the score will not be dropped
Academic
Accommodation:
Any student who may need academic accommodation should discuss the
situation with me during the first week of class.
Incomplete:
To receive a final grade of incomplete, you must be passing the class and be
unable to take the final exam.
Evaluation:
Please
refer to the attached tentative schedule for details on important dates such as
dates of tests, assignment due dates and the sections that will be covered
in the text and the worksheets that will be needed for class each day. The
following is the list of requirements, ways to earn points, and breakdown of the
final course grade.
- There will
be a skills test (no calculator allowed) that all students must pass to pass the course.
There will be no points for passing the skills test.
It must be passed with 80% correct before the end of the semester.
There will be one opportunity to take the test during class, if you
do not pass it at that time, you must make arrangements with me to take it
before or after class. There is a sample
skills test attached.
- There will
be worksheets from the instructional packet, as well as some handed out by
me in class, that we will do together in class.
Any work assigned, but not completed in class is considered homework.
Any additional problems assigned in class or from the text, or any reading assigned in
class is also considered homework. There is a suggested homework list
to study from included for each exam (see
attached sheet). It
is strongly recommended that you complete all homework and reading assigned
in class. I will be reviewing
many of the answers to the homework in class.
Most of the
problems on the list are items we will have done in class.
Many exam problems are similar to homework problems. There are no points given for
class work or homework.
- There will
be 5 tests worth 75 points each. The
lowest test score will be dropped. Because
of this, there are no make-up tests. If you receive a 90% (67.5
points) or greater on all
five tests, you will be exempt from the final (as long as the
portfolio is turned in and all other requirements are met).
- There will
be 5 problem logs worth 20 points each.
These are non-traditional problems that will require detailed
explanations. The log problems are
listed on the website. You may work
together on solving problem logs, but each person must write up and turn in
their own work. A problem log
that is turned in late will be penalized 5 points off per class meeting
late. No problem log will be
accepted after graded work is returned in class.
(See attached sheet for details and schedule for due dates).
- There will
be a portfolio due at the end of the semester worth 50 points.
This will include examples of your work and reflections on what you
have learned during the semester. (See
attached sheet for details and schedule for due date).
- There will
be one comprehensive final exam worth 75 points.
Students taking the final must receive a minimum
grade of 60% on the final to pass the course.
- This gives
a total of 525 points possible. The
grade breakdown is as follows:
473
– 525 = A 420 – 472 = B
368 – 419 = C 315 – 367 = D
314 or below = F (or below 45 points on final)
Attendance, class participation and a subjective instructor’s
interpretation of work may be used in assigning a final grade to borderline
cases.