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EMAIL SUBMISSION OF READING ASSIGNMENTS IN CALCULUS I AND II

Very few calculus students have any experience reading a mathematics text before the material is discussed in class. In order to help students develop this skill, I gave specific reading assignments for most class meetings which included several basic questions that they should be able to answer after completing the . The students emailed me their responses before class, which gave me valuable insight to the students level of understanding before class. The student response rate to the assignments was very good, and most students indicated on supplemental evaluations that the reading assignments were a worthwhile part of the course.


Report

Pedagogical Goals

In my calculus courses, I emphasize that mathematics is a liberal art and that the students should be reading, writing and discussing mathematics.

One problem I have repeatedly faced is structuring my courses so that reading the text is a meaningful part of the course. In particular, I have had a very difficult time getting the students to complete the reading before the class meetings. I have fairly modest expectations for the reading assignments: I want the students to be familiar with the terminology and have a rough idea of the the basic concepts from the section. Since very few of my students have experience reading a math book, I want to give well-defined goals for each reading assignment and reward the students' efforts. In addition, I want to keep any grading of the assignments manageable.

Strategy

This fall, I gave reading assignments for nearly every class meeting in Calculus I and II similar to ones I had assigned last spring in Calculus I. I placed the assignments on the course web page (which can be found from my homepage at http://acunix.wheatonma.edu/tratliff). Each assignment indicates which parts of the reading should be emphasized, which can be skipped, and contains two or three questions that the students should be able to answer after they have completed the assignment. The students emailed their answers to the questions to me before each class. The messages had a specific subject lines so that I could filter them into a separate folder. The students were sent an automatic reply that their message had been received. I read the assignments before class, which gave me valuable information on the students' preparation for class. I selected several of the best answers each day and saved them on a temporary web page. Since the classes met in Science Center A102 (which has a computer display capabilities), I was able to display these responses during class, giving the students immediate feedback on their level of understanding. The assignments were graded as either a 1 or 0, and they counted for a total of 5% of the final grade.

Assessment

As in the spring, I am very pleased with the student participation:

# of Assignments

Mean

Calculus I

28

21.6

19 of 32 with 24 or greater

Calculus II

25

20.0

8 of 12 with 21 or more


This translates into 24 out of 32 students, on average, completing in assignment in Calculus I and 9 out of 12 students in Calculus II completing each assignment. I am extremely happy to have between two thirds and three quarters of the students spend some time with their calculus text *before* class.

I administered supplemental evaluations at the end of the semester to find out the students' impression of the assignments. The four questions I asked were:

1. On average, how much time did you spend on each reading assignment?

0-15 min /15-30 min / 30-45 min / 45-60 min / More than an hour

Please check the most appropriate response to each of the following statements:

Strongly disagree / Disagree / Agree / Strongly agree

2. The reading assignments were helpful in understanding the course material.

3. The reading assignments were useful in preparation for the class meetings.

4. The reading questions were helpful in focusing my reading.

The responses were:

1.

Calc I

Calc II

0-15

7

3

15-30

18

9

30-45

4

0

45-60

0

0

60

0

0

SD

D

A

SA

SD

D

A

SA

2.

0

3

17

9

1

1

10

0

3.

0

2

16

11

1

0

9

2

4.

0

3

18

8

1

0

7

4


These responses are very encouraging to me.

Dissemination

I had an article based on my experiences last spring titled ``How I (Finally) Got My Calculus I Students to Read the Text'' appear in the Innovative Teaching Exchange at MAA Online, the electronic resource for the Mathematical Association of America (www.maa.org). I also gave a talk with the same title at the Spring Meeting of the Northeastern Section of the MAA at Merrimack College, June 7, 1997. After I give similar assignments in Calculus II this spring and gather more data, I plan on writing a more thorough account that can be submitted to one of several different pedagogical journals, such as PRIMUS (Problems, Resources, and Issues in Mathematics Undergraduate Studies).


Last updated on 12/06/00;
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Thomas Ratliffe
or contact Wheaton College.