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ED 4258 |
CURRICULUM & INSTRUCTION IN MATHEMATICS - J/I
instructor: Dr. Medhat Rahim
contact: 807-343-8053, BL-1028
Office Hrs: Tues 4-5pm, Wed 1:30-2:30pm
email: medhat.rahim@lakeheadu.ca
Website: http://www.lakeheadu.ca/~mrahimwww/
(Please include this in your bookmarks and look for announcements)
OVERVIEW: Enrichment: Mathematics, the Man-Made Universe
Mathematics and the ways it is taught have continued to evolve, influenced both by specialized scholarship and general changes
in society. This course reflects these developments as well as changes in my own perspective. For example, a special emphasis is
focused on probability that reflects the increased interest of teachers and students in examining those topics through which
Mathematics can be applied to problems faced by society or by the individual.
Mathematics, on the other hand, is completely the work of human. Each theorem, each proof, is the product of the human mind.
In this sense, mathematics is concrete, whereas the world is abstract.
This course exploits that concreteness to introduce the general reader to mathematics. The "general reader" might be either a university or high school students, whatever his special interest might be, or an inquisitive adult. This course is designed to give students in many fields an appreciation of the beauty, extent, and validity of Mathematics. This course is neither too advanced nor too specialized.
TEXTS REQUIRED
No specific text is required.
Notes for this course will be distributed as we progress
Rahim, M.H. (1996). Mathematics for teachers 1: Visualization and informal reasoning (Revised ed.). Unicorn Academic Press. [This text
is out of print; there will be copies in Education Library for copying.]
TENTATIVE COURSE OUTLINE
F A L L
| Week 1 | Questions on weighing | materials given in class |
| Week 2 | Polygons & polygonal regions | PT 1 [Rahim], pp. 1-14 |
| Week 3 | Questions on weighing with exercises. | PT 2 [ Rahim], pp. 15-33 |
| Week 4 | Challenge: Primes
Symmetry |
PT 2/3 [Rahim], pp, 34-45 |
| Week 5 | Primes - continue and exercises
Shape transforms of polygons: Investigative activities |
Notes in class
PT 4 [Rahim], pp. 45-58 |
| Week 6 | The fundamental theory of arithmatic
Hands-on activities |
Notes in class
PT 4 [Rahim], pp, 60-67 |
| Week 7 | FIRST MIDTERM TEST in the class session of the week | |
| Week 8 | Computer session (Terrapin Logo): further practices in the lab
Area vs perimeter activities |
PT 4 [Rahim], pp. 69-79 |
| Week 9 | Representation of numbers | Notes in class |
| Week 10 | Introduction to statistics & probability: Chance | Notes in class |
W I N T E R
| Week 1 | Chance: continues and exercises
Area vs perimeter activities |
Notes in class
PT 4 [Rahim], pp. 69-79 |
| Week 2 | Rationals and Irrationals
Area vs perimeter activities |
Notes in class
PT 4 [Rahim], pp. 69-79 |
| Week 3 | Tiling and Tasselation
Hands-on activities |
Notes in class
PT 4 [Rahim], pp. 81-90 |
| Week 4 | Construction by straightedge and compass
Hands-on activities |
Notes in class
PT 4 [Rahim], pp. 94-104 |
| Week 5 | Types of numbers
The area concept's activities |
Notes in class
PT 4 [Rahim], pp. 94-104 |
| Week 6 | SECOND MIDTERM TEST -- During the class period | |
| Week 7 | a general view | Notes in class |
| Week 8 | Review
FINAL QUIZ (Take home quiz) |
Notes in class
will be given well in advance |
| Week 9 | REVIEW | |
This timetable would be adjusted as we progress.
NOTE
ASSIGNMENT
Teachers are expected to be well prepared for their mathematics teaching activities. And for you, as a potential teacher of mathematics, it is essential to know and understand both the mathematical content and the methodology. The major assignment for this course in addition to the reading assignment, is to review all mathematics for grades 4-10 as prescribed for Ontario schools. Any Canadian school mathematics series for those grades dated from the mid-seventies up to now is a suitable source. How well you have done your assignment will be determined during the 7th week (First Midterm Test) and the 6th week (Second Midterm Test) [in addition to the assignments, at most 3, attendance, contribution to assistance, organization of your notes, and journal reflection]. Note that there are several mathematics series for these grades reserved for you at the Education Library.
TEST/EXAMINATIONS/ASSESSMENT
1. Test on first half of the assignment
DATE: 7th week in the class period
There will be no mark for skipping the test; REWRITE FOR ILLNESS ONLY.
CONTENT: All class notes
DURATION: 90 minutes
There will be NO Christmas examination.
2. Test on the second half of the assignment
DATE: 6th week during the class period
There will be no mark for skipping the test; REWRITE FOR ILLNESS ONLY.
CONTENT: All class notes
DURATION: 90 minutes
3. Assignment: There will be 2 assignments (30 marks in total) one for each term, Fall and Winter. Details will be given in class.
EVALUATION OF FINAL MARK
| First half of assignment -- test | 20% |
| Second half of assignment -- test | 20% |
| Attendance/organization of notebooks | 10% |
| Assignments | 30% |
| Participation and Assistance | 5% |
| Journal/Reflection (weekly) as time allows | 5% |
| Final Quiz (take home) | 10% |
|
Total |
100% |
INCOMPLETE STANDING
Incomplete Standing indicates that a student has not passed a course, but that the instructor is
prepared to insert a grade upon the completion of required course work or the writing of an
examination. The privilege of deferring part of the work in this way will be granted only when, in
the opinion of the instructor and his/her department/school, the incomplete work is a separable
part of the course. Where a grade of Incomplete is recommended by the instructor and approved
by the chair/director of the department/school concerned and the Dean of the Faculty, the
designation "Inc" shall be temporarily entered on the student's record by the Registrar. If a student
wishes to clear a grade of Incomplete from his[her] record, he [she] must make application to the
Registrar within one month after the publication of the grades for the course, and pay the required
fee. (Lakehead University Calendar)
IMPORTANT FOR ALL TO REMEMBER
1. Important to know that this is a tentative schedule and there could be a change here or there as we progress through the subject.
2. Every one of you should know that I am always ready for help, advice, and suggestions. Should you experience difficulties,
do not hesitate to come and talk to me at once. Don't let things accumulate. I may be able to give you advice, a plan or
to help. I feel I am here to guide you for a successful year of your endeavour to build a decent future for yourself and for Canada!
GOOD LUCK!