Department of Mathematics

Syllabus
**0833.600 Problems in Mathematics Education I**

CATALOG DESCRIPTION:

**0833.600 Problems in Mathematics Education I
3 s.h.**

(Prerequisite: Official admission to graduate program and approval
of the Program Advisor)

Students investigate recent developments and relevant research in mathematics
education. The student identifies a problem, develops a proposal for investigating
the problem as a project, and begins to develop a finished report of the
project. The project may be either local or national in scope but must
deal with a problem in mathematics or computer science education.

**OBJECTIVES:**

Students in this course will become familiar with current developments
in mathematics education through their readings and discussions. Students
will synthesize and analyze readings for their peers in the course. Each
student will originate and plan a research project in mathematics education,
identifying resources needed for the project and developing the tools,
techniques, and skills necessary for the project.

**CONTENT:**

**1. Goals & Objectives for Mathematics Education**

1.1 NCTM __Curriculum & Evaluation Standards__

1.2 State curriculum frameworks/core proficiencies

1.3 MAA documents

**2. Nature of Mathematics**

**3. Methods of Research**

**4. Psychological Foundations of Mathematics Education**

**5. Teaching Practices and Teachers' Beliefs and Knowledge**

**6. Mathematics in Grades K-8**

6.1 Rational numbers, ratio, and proportion

6.2 Problem solving

6.3 Estimation and number sense

**7. High School Mathematics**

7.1 Algebra

7.2 Geometry

7.3 Probability & Statistics

7.4 Discrete Mathematics

7.5 Advanced Mathematics

**8. Technology**

8.1 Calculators

8.2 Graphing calculators

8.3 Computers

**9. Affect**

**10. Gender, Race, Ethnicity & Language**

**11. Assessment**

11.1 State testing programs

11.2 Alternative assessment techniques

*Required texts:*

National Council of Teachers of Mathematics. (2000). *PRINCIPLES AND
STANDARDS FOR SCHOOL MATHEMATICS. *Reston, VA: National Council of Teachers
of Mathematics.

Owens, D.T. (Ed.)(1993). Research ideas for the classroom: Middle grades mathematics. New York: Macmillan Publishing Company.

Rosenstein, J.G. Caldwell, J.H., & Crown, W.D.(1996). New Jersey Mathematics Curriculum Frameworks.

New Jersey State Department of Education. (1998). Directory of test specifications and sample items for the Grade Eight Proficiency Assessment (GEPA) and the High School Proficiency Assessment (HSPA) in mathematics. Trenton, NJ: Author.

Wilson, P.S. (Ed.)(1993). Research ideas for the classroom: High school mathematics. New York: Macmillan Publishing Company.

Publication Manual of the American Psychological Association (APA) (buy
at any bookstore)

**Suggested texts:**

Fullan, M.G. (1982). *THE MEANING OF EDUCATIONAL CHANGE.* New York:
Teachers College Press.

Grouws, D.H. (Ed). (1992).* HANDBOOK OF RESEARCH ON MATHEMATICS TEACHING
AND LEARNING. *New York: Macmillan Publishing Co.

Hiebert, J. (Ed). (1986). *CONCEPTUAL AND PROCEDURAL KNOWLEDGE: THE
CASE OF MATHEMATICS. *Hillsdale, NJ: Lawrence Erlbaum Associates.

National Council of Teachers of Mathematics. (1989). *CURRICULUM AND
EVALUATION STANDARDS FOR SCHOOL MATHEMATICS. *Reston, VA: National Council
of Teachers of Mathematics.

National Council of Teachers of Mathematics. (1991). *PROFESSIONAL
STANDARDS FOR TEACHING MATHEMATICS. *Reston, VA: National Council of
Teachers of Mathematics.

National Council of Teachers of Mathematics. (1999). *1998-99HANDBOOK:NCTM
GOALS, LEADERS ,AND POSITIONS.* Reston, VA: National Council of Teachers
of Mathematics.

National Research Council. (1990). *RESHAPING SCHOOL MATHEMATICS:
A PHILOSOPHY AND FRAMEWORK FOR CURRICULUM. *Washington, DC: National
Academy Press.

Shumway, R.D. (Ed.) (1980). *RESEARCH IN MATHEMATICS EDUCATION. *Reston,
VA: National Council of Teachers of Mathematics.

Stenmark, J. (1991). *MATHEMATICS ASSESSMENT: MYTHS, MODELS, GOOD
QUESTIONS, AND PRACTICAL SUGGESTIONS. *Reston, VA: National Council
of Teachers of Mathematics.