Mathematics Education: The Next Generation
I love learning. I love mathematics. But I have difficulty finding kindred spirits. What follows is a personal comment on this situation.
My mind is a consequence of my body and of the myriad experiences it has undergone since birth. A few days ago I read a detective novel, "The Bone Collector" by Jeffery Deaver. This was a result of two friends recommending it to me. I value such soft suggestions. The novel puts a premium on evidence and rational thought. Yesterday I read a small book by Lee Iaccoca, "Where Have All The Leaders Gone?". Provocative and inspiring. A plea for Americans to get up off their duffs and start getting angry at what is happening in their country. I am angry about the current state of mathematics education in my country. A promising start.
I began reading another book this morning, "The Canon" by Natalie Angier. It is a book about the nature of science, another topic that interests me. The first three chapters are about thinking scientifically, probabilities, and calibration. The remaining six chapters are about physics, chemistry, evolutionary biology, molecular biology, geology and astronomy. I would like to write a follow-up chapter on mathematics and mathematics education.
One of my favorite quotes is by Isaac Asimov, who began his compendium "Asimov's New Guide to Science" with the sentence, "Almost in the beginning was curiosity." Another quote, that I have seen in a number of mathematics papers, is "Mathematics is not a spectator sport".
To recap, here is a list of the seven points that together have combined to motivate me to begin writing:
1. I love learning.
2. I love mathematics.
3. "The Bone Collector"
4. "Where Have All the Leaders Gone?"
5. "The Canon"
6. 'Almost in the beginning was curiosity.'
7. 'Mathematics is not a spectator sport.'
The first two and the last two items are part of my daily make-up. The middle three are fortuitous books that somehow all led me to see connections among them and to inspire me to take up my mouse and begin typing.
Here are a few points that I want to cover:
check provincial guidelines across grade levels
Logo & Papert
Jacobs on billiard math
Goodman on symmetry
Mason on thinking
Wright on CMIT
Piaget on number
Iverson on APL
role of standardized tests on the curriculum
measurement and accountability
professionalism and (government, school boards, teachers, universities, Faculties of Education)
"The best scientists don't overreach or grandstand, at least not until they've retired into the armchair comforts of emeritus professorship, a time of life sometimes referred to as philosopause". [The Canon. p. 36]
suggestions:
- school & district centered professional development
- teacher centers
- local accountability (build on Iacocca's idea of evaluation of how well we are doing)
-take the major goal statements and ask each focus group (students, teachers, parents, administrators, education professors) to rate how well we are meeting each goal.
- examine documents on provincial achievement results
- create a new instrument that is based on a new sense of priorities
- compare the above three sources for consistency and discrepancy
- conduct a survey of each focus group on what they perceive as strengths and weaknesses of the present system as well as ask for suggestions on how to improve the situation
- use all of the above as a baseline and repeat the process each year while incorporating some form of revised curriculum
- exploration activities (process of mathematics)
- skill activities (arithmetic, algorithms, facts)
- role of technology
References
Angier, N. (2007). The Canon. Boston: Houghton Mifflin.
Asimov, I. (1984). Asimov's New Guide to Science. New York: Basic Books.
Deaver, J. (1997). The Bone Collector. New York: Pocket Books.
Iacocca, L. (2006). Where Have All the Leaders Gone? New York: Scribner.
Mason, J. (1985). Thinking Mathematically. Revised Edition. Wokingham, England: Addison-Wesley.
Web Sites
http://www.edc.gov.ab.ca/parents/handbooks/
http://www.wncp.ca/ |