MA 453 Syllabus

Mathematics Department
Indiana University of Pennsylvania
Indiana, PA 151701



Course Number:		MA 453

Course Title:		Seminar in Teaching Geometry

Credits:		1 semester hour

Prerequisites:		Education majors only

Textbook:		Learning and Teaching Geometry, K-12
			Lindquist
			NCTM

Revised:		January 1995

Catalog Description:

Seminars are designed for pre-student teacher. Students in each class will gain insights into the problems in teaching each topic and become aware of the materials available and methods of instruction geared to the special type of student. Education majo rs only

Suggested Seminar Outcomes:

1. Communication of geometric ideas, concepts, and procedure in written, oral and pictorial form at different levels of formality, using mathematical reasoning to pose, explore, and validate conjectures and arguments.

2. The development of confidence, flexibility, perseverance, and inventiveness and the ability to pose questions and tasks that elicit, engage, and challenge student's thinking.

3. The development of a knowledge about different curricular designs appropriate to the teaching of geometry.

Suggested Topics:

The following is a list of topics from which the instructor might choose, depending on the interests of both instructor and students. It is not intended to be a exhaustive list and certainly time will not permit that all suggested topics be covered. Not

e:  Numbers in paratheses refer to article numbers in text.

A.	The van Hiele Model of Geometric Thought (1)
B.	Continuing Dilemmas in School Geometry:  Performance and Curriculum (2,4,5)
C.	Methods of Proof
D.	Problem Solving in Geometry
E.	Using LOGO in Teaching Geometry
F.	Using the Geometric Supposer
G.	Questions Frequently Asked in the Geometry Classroom
H.	Geometric Constructions and Their Proofs
I.	Conic Sections (14)
J.	Uses and Applications of Geometry (9,16)
K.	Probability in High School Geometry (15)
L.	Geometric Counting Problems (18)
M.	Geometry for Calculus Readiness (17)
N.	Non-Euclidean Geometry

Suggested Student Activities:

	A.	Presentation of a geometry lab activity to the class
	B.	Construction of models of polyhedra (13)
	C.	Completion of discovery activity packets in the learning and use of Logo

Evaluation:

Procedure will vary each semester according to what activites are elected. Instructor will indicate at the begining of the course the evaluation procedure which will be used.


Reference Materials:

Bassler and Kolb.  (1971).   Learning to Teach Secondary School Mathematics.  Intext Educational Publishers.

Crouse and Sloyer. (1987)  Mathematical Questions from the Classroom.  Janson Publications.

Cooney, T. J. (Ed.) (1990).  Teaching and Learning Mathematics in the 1990s.  Reston, VA: NCTM.

Crouse and Sloyer, Mathematical Questions from the Classroom Prindle, Weber, & Schmidt, Inc.

Davidson, N. (Ed.) (1990) Cooperative Learning in Mathematics:  A Handbook for Teachers.  Reading, MA: Addison-Wesley.

Mager, R. (1984).  Preparing Instructional Objectives.  Belmont, CA: Pitman Learning, Inc.

National Council of Teachers of Mathematics.  Addenda Series for Grades 5-8 and Grades 9-12.  Reston, VA: NCTM

National Council of Teachers of Mathematics.  Mathematics Teacher (MT).    Reston, VA: NCTM

National Council of Teachers of Mathematics.  Mathematics Teaching in the Middle School (MTMS).    Reston, VA: NCTM

National Council of Teachers of Mathematics.  (1993)  Assessment Standards for School Mathematics (Working Draft).  Reston, VA: NCTM.

National Council of Teachers of Mathematics.  (1991). Professional Standards for Teaching Mathematics.  Reston, VA:  NCTM.

National Council of Teachers of Mathematics.  (1989).  Curriculum and Evaluation Standards for Teaching Mathematics.  Reston, VA: NCTM.

Pennsylvania Department of Education (1994)  Mathematics Curriculum Framework.  Harrisburg, PA: PDE.

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Maintained by Charles Lamb <clamb@iup.edu>
Last Modified on Monday, 13-Aug-2001 16:53:18 EDT