Here is a portfolio extract from the almost 60 students in the course. These are available for evaluation of many kinds.
Date: Tue, 19 Oct 93 03:43 From: ____ ____ <_____@orion.oac.uci.edu>Professor Fried, Here is what I have learned from purchasing a modem. I did not know how a modem worked or that there is a big computer and that my computer is just a terminal contacting this big main frame. There are only 36 lines available and you have access to so many things like Melvyl and AntPac. Also I haven't really figured out how Emacs works because someone told me that you could compile a Fortran Program in Emacs since it is hooked to a main frame or something---I don't really understand. Also, there are so many different commands to use. I get frustrated easily because I think I cannot figure out how to do something though I may have the handouts in front of me. I always felt it is something I don't know and completely over my head. ... It took many explanations to get me to see the picture. That is what I have the most trouble with: seeing it, visualizing it, and understanding. I don't know what I would do without my study Partner. I don't see how other people have no trouble while I struggle. I always wonder if I missed something all these years I have been in school or I have learned the wrong way because everything has to be systematic plug and chug for me to understand.
[MY REPLY] Dear _____, Your description of struggling with math is touching. Yesterday, one of my themes suggested we would use these projects to raise the esteem of students. ... Since we must try to do away with plug and chug, I've had to analyze carefully what could help us do that. Projects seem crucial for it. You have already gone further than you expected because of CAMP and your own growing initiative. ... Sincerely, Mike
When they first came on e-mail students told me their fears and specific background deficiencies. Thus, this period resulted in the creation of interesting data in their cumulative portfolios. Many days in the middle of the quarter I received 20--30 e-mail messages from students. Processing these and collating them into individual formatted portfolios would have been impossible without sophisticated shell programs.We designed the questionnaire to reveal how much initiative they were willing to take. I declared I would help each of them find a project using this questionnaire.
A crucial step for handling such a large group: dividing the project types into subareas. Each subarea had between eight and fourteen students in it. Here are the items that advertised what projects had to offer to students.
By the end of Part I, before the midterm, we had the students in project teams. Further, we divided these teams into five areas. Each area had a meeting with me to discuss specific possibilities for projects in their area. To continue the interaction and relate it to the class, each team wrote a Project Proposal: due three weeks from the start of the project period. This is an exact outline of the project that details what they proposed to do in their project. This was worth 50 points toward their grade; the final project report was worth 100 points. The pre-question form and their growing portfolios included considerable data about their backgrounds, aspirations and abilities. It was my job to create from this a project of which they could take ownership. This was tough, but with few exceptions we had this finished by the end of the sixth week, after the midterm.
Process for starting the project: ``Use an e-mail communication to arrange to see me.'' My personal and questionnaire response to their communication provided ways for them to relate to Categories of interest below:
By the sixth week the class was accustomed to e-mail. Still, there was a need for extra support to explain the five areas of project types. My student assistant, a computer knowledgeable friend of his, and Kathryn Kjaer, the head of the Physical Sciences Library, ran general help sessions. These included discussions of relating Vector Calculus to engineering courses, how to use AntPac and Melvyl, help on word processors, sending files by modem and use of Mathematica. My job at that stage was to handle the intensive concerns of the few who thought their projects weren't working at all. At the end of the term students submitted a final report on their findings. This use of technology encouraged some students to pursue research projects.
The instructor types key_eval, which puts a list of question titles on the screen in a menu. From it the instructor can choose any question. Then, key_eval will place the complete question at the top of the screen followed by a menu showing student responses to the question. This is the fundamental simplification in grading: having all answers to a given question appear together on the screen in a menu. The instructor can grade one question in a displayed batch. Improved efficiency comes from being able to develop key_eval to add responses and a grade to selected subsets having similar responses. The grader's responses and marks come from a command line; there is no need to move around files seeking the right place to place these. On completion of grading the question, key_eval fits each student's answer, with graded responses, back into the whole evaluative instrument.
key_eval can post several statistics on the grades: total grades or grade on any one question for each of the students; and class average on all or any specific question.
/home/users/student/byerly:113=>sh exper Extracting exp_ques1 Extracting exp_ques2 ... Extracting exp_ques6 Extracting pre_exp_ques ... Extracting prog_exp_quesDear Robert,
Here is question 1.Six questions with chances to respond if the student doesn't like her first answers. When the questions are done, the program mails them back to me. Back at my machine:
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What days are OK for an extra class from 4-5? Type your answer and press <return>.
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Respond to Question 1 by typing. When done, press <return>.
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How can I help you improve with the guess and check problem solving strategy? Possible answer: Give you more time in class to try problems which we grade in class.
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Respond to Question 4 by typing. When done, press <return>.
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My feedback said some didn't really want to do a presentation, but since your grade last quarter was given for it, you felt you had to. Others clearly learned a lot from giving the presentation. Give some feedback where you stand on this. Honest, I won't get mad. Rather, I will try to find other ways to help involve you that don't necessarily put you in the position of making presentations.
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Respond to Question 6 by typing. When done, press <return>.
New mail for mfried@math.uci.edu has arrived: ---- Date: Wed, 18 May 94 02:03:06 PDT From: byerly (Robert Byerly) To: mfried@math.uci.edu Subject: exp_ques_responseA shell program mva automates moving this file to an appropriate directory for viewing along with others that have come in. I go to that directory with one command and then type gno to see this:
Do you want to look at responses to a specific question? y(es)/n(o) y Choose a number. 1. Show exp_ques <number> 2. Show responses to exp_ques <number> 3. Put output of responses to exp_ques <number> in a file. 4. See list of questions again.I ask to see the answers to number 4, here is what I get:
\%\%\%\%\%\%\%\%\%\%\%\%\%\%\%\%\%\%\%\%\%\%\%\%\%\%I can now respond to each of these or to them in groups. It is as if I pulled all their answers together from a bluebook and could respond to them collectively.
akoines: I would like a regular written exam that will be like the qualifying exam.alee: I realize any guess is better than no guess but I would feel more comfortable coming up with a guess that was somewhat on the mark. Ithink the in-class problems are very helpful, but I think they are more focused on checking rather than guessing. I have a hard time coming up with an educated guess when you ask a guess and check problem.
byerly: assign homework with hints on how to do the problems with guess and check
hly: There is no need to change because of the way the question is asked is at exactly the the level we are concentrate on and we are given sufficient time.
nunez: The guess and check strategy is something we all need to practice on our own, but I think a little more class time to practice this would be great.
rcollatz: Indeed, more guess and check opportunities in class would be welcome. Also, perhaps we might specifically devote some of the afternoon sessions to a few "practice" tests in which we would tackle problems of appropriate difficulty under pressure.
rmuir: give small problems in some organized manner, then give the solutions and explain how you got them. this could be done in class, or as take home problems. the book is full of topics but some are more important than others.
wprophet: I once had a basketball coach that told us over and over that practice does not make perfect; perfect practice makes perfect. I feel that we should practice this technique in simulated "game situations" to develop it.
Example: calc-reform@e-math.ams.com: Reform and Pedogogy: Reform of curriculum and pedagogy for calculus/elementary linear algebra
"The call for accountability of higher education has a simple translation. The Public wants to know if students are learning the right things and if faculty are working hard at the right activities (teaching rather than research). The Public wants assurance its investment in higher education is well spent.This article advocates using portfolio creation as a method for assessing the value of education offered at colleges. The goal should be to convey a story, supported by credible evidence, about what we do in our classrooms.
``As the number of television channels grows by the hundreds ... we have an extraordinary quantity of educational programs that could be put into the bandwidth at very little cost. ... They would simply be classrooms projected in their rough reality into the cyberspace. Because the cost of electronically transmitting education is so low and because the potential bandwidth will be so large and so sparsely occupied at the beginning, we would not need huge audiences to mike our new courses work. ... The technology exists through electronic mail on the Internet to support intense interactions between students and teachers about the academic substance of any course that is broadcast.''