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MATH 133: CONCEPTS OF MATHEMATICS

ABSTRACT: There is no question that technology has invaded our everyday lives. By the time students come to college, they have extensive experience with computers. Where are they getting that experience and what experience is it? They are proficient at playing computer games, they are experienced in word processing, they are knowledgeable about email and lately the Web. They do not know how to write a computer program, work with a spreadsheet, nor evaluate software. We plan to expose the students in the math education course to precisely those three areas: structured programming using Logo, manipulation of data in Excel, and evaluation of math educational software.


Please note that where there are attachments listed, they will be provided on request.

Goals:

The Massachusetts Department of Education has expressed concern that our elementary school teachers are not knowledgeable about technology and consequently are not exposing their students to it in the classroom. My goal is to expose Concepts of Math students to different types of technology, types of technology that they, as future elementary school teachers, may expose to their students.

Strategies:

Project 1: "The Twelve Days of Christmas" - Microsoft Excel (see 3 attachments) Using that popular Christmas song, students working in groups of four were asked to complete a spreadsheet to figure out the total number of gifts given and the cost of all the gifts. Data entry, formula formation, relative and absolute addressing were shown in class previous to assigning this project.

Assessment of Project 1: The grades on the projects all fell in the A and B range. However, I tested their knowledge of relative and absolute addressing on an exam.

Out of 40 students, 32 correctly answered the question on relative addressing and 11 correctly answered the question on absolute addressing. Having taught spreadsheets in the past, I know that absolute addressing is a difficult concept to understand. However, I introduced spreadsheets in only one class period, so I am not totally surprised. What does surprise me is how few students know about spreadsheets and their uses, including computer science geeks.

Project 2: Structured Programming using Logomation - a Logo-type computer language (see 1 attachment) In addition to getting a feel for geometric shapes, students learned how to write programs to draw those shapes. Procedures and functions were stressed. Working in groups of 4, students were asked to do two programs.

Assessment of Project 2: The group project grades ranged from 96 to 79 with a median grade of 85. On the Final Exam, each student was asked to write a program worth 8 points.

Here is the breakdown of the 39 grades on this problem.
   
Pts. received Number of students
8 7
7 5
6 3
5 2
4 2
3 2
2 1
0 10


Not particularly good grades. It seems that in the groups, only one knowledgeable student was needed to write the programs and the others didn't take the assignment seriously enough. Next time, I stress that all students are responsible for learning how to program.

Project 3: Evaluation of Children's Math Software (see 2 attachments) Each student was asked to evaluate two software packages: KidsMath 1.1 and Math Blaster Mystery. The Software Review Sheet I used was based on an evaluation sheet that Kathy Ebert-Zawasky developed. (Thank you Kathy.)

Assessment of Project 3: Although I asked the students to word process the reviews, spelling was atrocious. The reviews were ok with a handful of students giving very astute comments, particularly on the questions: "Will children from minority groups be as likely to benefit from its use?" and "Is there a question that isn't asked on this questionnaire that should be asked?". Next time I will spend time setting the stage for these evaluations, perhaps 'they are being asked to review these software packages for the Wheaton Wire'. Software packages may change from year to year.

Overall Assessment:

Generally, I was pleased with the projects and will probably do them again the next time I teach the course. As with everything, I wish I had more time to show the technology in the classroom but this course is a math course and is probably the only math course they will have in college. I would love to teach this course as a year-long course with more math and more technology but until Wheaton or the State requires our future elementary school teachers to take two semesters of math, this is all I get.

Dissemination:

There are no immediate plans to disseminate these projects beyond Wheaton. However, I can offer my assistance to Wheaton faculty who want to teach spreadsheets, computer programming, or software evaluation.


Last updated on 1/26/99; 2:38:00 PM
Send questions about this page to: Rochelle Leibowitz
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