I. Number and Title of Course

MED 606 LOGO

A. The high response to a summer session seminar dealing with LOGO showed that the teachers of Western New York feel a great need for such a course.

B. Graduate students will be able to take this course as a regular elective in the department.

C. It will give pretend in service teachers an opportunity to learn the language of LOGO and see how it can be used to develop the mathematical thinking processes of their students.

D. It will provide an elective for other graduate programs that find the objectives of this course appropriate for their own majors.

A. To introduce students to the history of the development of the LOGO language.

B. To acquaint students with the research of educators who have investigated the use of LOGO in a variety of learning environments to study the effect of this computer language on the mathematical and analytical development of children.

To give students experience in the use of Turtle graphics themselves and in the planning of learning experiences for others.

D. To give students the skills in LOGO needed to carry out solutions of appropriate problems in mathematics and its applications.

E. To give students experience in using LOGO with lists including applications such as data files (class roster lists).

A. Introduction

1. History of LOGO

2. The role of LOGO in pre-college education

3. Starting up LOGO

4. Words and lists

5. The LOGO editor

6. Comparison of LOGO implementations

7. Workspace management. Files

8. Language characteristics of LOGO

9. Comparison of LOGO implementations

B. Turtle graphics

1. Basic Turtle commands

2. Interaction with the computer

3. Text and screen commands

4. Positional vs. coordinate geometry

5. Predicates, conditionals, and logical operators

6. Debugging. Trace. Error messages

7. Drawing program for young children

8. Extending the language.

9. Modular construction

10. Recursion. Iteration vs. recursion

11. Using color

C. Mathematics using LOGO

1. Operation

2. Parsing of arithmetic statements

3. Infix vs. prefix notation

4. Built in function

5. New function. Passing parameters

6. transcendental function. Taylor series representation

7. some numerical methods

D. LOGO and lists

1. Lists as data files. A class roster

2. Property lists

3. Game playing by computer

4. Introduction to data types

5. Symbolic addition and multiplication algorithm

6. Symbolic differentiation of polynomials

Abelson, Harold, Apple Logo, Peterborough, NH: BYTE McGraw?Hill, 1982.

Abelson and diSessa, Turtle Geometry, Cambridge, MA: MIT Press, 1981.

Abelson, Harold Lozo for the Apple II, Peterborough, NH: BYTE McGraw?Hill, 1982.

Ahl, David, ed. The Best of Creative Computing Vol. I  & Vo. 2 Morrestown, N. Jersey, 1976.

Allen, John R., et?al,Thinking About [TLC] LOGO New york; CBS College Publishing, 1983.

Bailey, Harold J. et, Apple LOGO: Activities for explaining Turtle graphics, 1984. Bowie, MD., Brady Communications Co.

Bitter, Gary G., Nancy Ralph Watson, Apple LOGO Primer Reston, VA: Reston Publishing Co. 1983.

Davidson, Lawrence J. Apple Logo: Reference Manual, Pt. Claire, Quebec: LOGO Computer Systems, Inc., 1982.

Horowits, Ellis J Fundamentals of Programming Languages, Rockville, Maryland: Computer Science Press, Inc., 1983.

Papert, Seymour Mindstorms : Children, Computers, and Powerful Ideas. New York: Basic Books Inc., 1980.

Poiret, James L., R. Clark Adams J Forty Easy Steps to Programming in BASIC and LOGO, Austin: Sterling Swift Publ. Co., 1983.

Sharp, Pamela, Turtlesteps, an Introduction to Apple LOGO and Terrapin LOGO, Bowie, MD: Brady, Communications 1984.

Solomon, Cynthia J., Apple Logo: Introduction to Programming through Turtle Graphics, Pt. Claire, Quebec: Logo Computer Systems, Inc., 1982.

Thornburg, David D.' "Pilot Turtle Geometry" Classroom Computers News March/April 1982.

Torgerson, Shirley (with MK. Kriley & J. Stone) Logo in the Classroom, Eugene, Oregon: International Council for Computers education, 1984.

Watt, Daniel, Learning With Logo NY: McGraw Hill Co., 1983.

"Special LOGO Issue" Classroom Computers News, Watertown, MD, April 1980.

A. Presentation by lectures, class discussion, classroom computer use, and demonstration.

B. Evaluation by examinations, Class participation, suitable papers, and projects related to the use of the computer.

VIII. Credit

3 credits: (3.0)

This course proposal was examined in accord with recommended procedures and was approved by the Department of Mathematics. _______________________Chair, Department of Mathematics

Mat. 606. LOGO

The history of the development of the LOGO Language, the use of LOGO in the ?secondary elementary schools. Turtle graphics 9 and the use of LOGO in problem solving. Also appropriate for teachers of subjects other than math and science.

Any mathematics faculty member with a knowledge of the LOGO language and its relationship to the learning of children. Several faculty members have this qualification.

The course requires a room that will hold 35 students. Most classes should be held in a computer facility that has a least one micro computer for each two students. Each computer should have its own monitor and disk drives and be suitable for use with the LOGO language. About four printers should be available for use on an as needed basis.

The room and the micro computers should be available for use of the students outside of class time for study and for working on class assignments. Personnel need to proctor this classroom laboratory outside of class time. The language of LOGO must be available on at least one computer housed in the Mathematics Department.