I was asked to write an outline for a "year 4" course. The idea was to help students who did poorly in their first three years of high school, but still hope to attend a two-year college.
After consulting some two-year-college faculty, I set out to select and sequence what I consider to be highlights of secondary school math. Obviously, since this had to fit into one year, I couldn't cover everything that was suggested, or even everything I would like to cover. Still, I hope that what I created will be useful, not just for the intended audience, but also for people who want to teach this material (or some of it) in other contexts.
- The philosophy underlying the course is presented in the introduction. It includes:
- - An acknowledgment of the existence of technology
- - A tool-rich approach, to reach more students and deepen understanding
- - Spiral sequencing, to extend exposure and build in review
The outline consists of 15 units. Each unit is presented as a list of concepts, followed by a list of suggested activities. All the activities suggested are available for free on the Web, and in fact most are on this website.
Download Mathematics Overview here
for your non-commercial use.