In our Math Lit class, we are taking the Final Exam today. Seems natural to talk about how the first semester went.
As you would expect, the first time through presents some challenges; we already know of several things to change for next time. In general, the high use of small groups did what we wanted and got students directly involved with the material. Naturally, this process uses quite a bit of class time. My major change for next time will be an adjustment to the balance between group work and whole-class work. When we are developing new concepts, I will keep the focus on group work; when we are more into rules and procedures, I will blend more whole-class work. This is mostly an issue of practicality, as we ran out of time on most class days.
The Math Lit course is more about understanding than a traditional course, and this is a good thing for our students. However, students have a harder time judging ‘did I get that’ when the focus is more on understanding. To help them, I will be doing more daily assessments. Obviously, this takes class time — which was a problem already.
One specific observation that I did not expect to see — students needed a symbolic rule for slope. They generally understood that we were looking at a rate of change, but the concepts (rise and run) did not communicate what comparison to make; the ‘(y2-y1)/(x2-x1)’ statement cleared up problems they were having with two things — which values go on top, and keeping the order consistent.
Related to that is another problem — since we saw both linear and exponential models (which both involve two parameters), there remains a bit of confusion about how to write each model. We still emphasize linear more than exponential, but I can see students mis-match the parameters between and within models.
The single biggest problem? Getting students to do online homework! When I could see that students were not doing any homework in the first two weeks, I started checking homework everyday. The assignment in the book was generally done (though not always including a comparison with the answer key). The online homework had a rate less than 10% for the class of being done — and this is with one of the better online systems. In talking to students, internet access was the single biggest problem (though this perhaps was a polite excuse, better than ‘I did not want to do it’); they reported that they could not get online at home, and the usual work/school schedule made it difficult to get to a library or computer lab. I can not solve the access problem; however, I will apply some additional motivation for them to keep up with the homework.
One of the pleasant surprises is how well ‘dimensional analysis’ went. The first two times students ran into this, they really did not get it (in small groups, and whole class discussion the same day). After a quiz and another whole class discussion, most students understood enough to do 3 to 5 step conversions in this style, with work that looks reasonably good.
Overall, the Math Lit class is off to a good start. The focus on understanding and the use of small groups resulted in a good attitude about learning for most students. With some adjustments to class procedures and more assessments, the class will work well next time. [Yes, the outcomes this time were not that good; partially, this is due to a system error in registration which allowed some non-qualified students to be enrolled.] I am making some changes to the daily schedule, along with the group/whole class shifts and more assessments.
Math Lit is a productive approach for students learning mathematics with understanding. I am hoping that you will look into developing such a course at your college.
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