Professional Development Courses

Math 505C:
Algebra for Elementary & Middle
School Teachers (3 units)
This course focuses on the transistion from arithmetic to algebraic
thinking, particularly in grades 5-8. The pedagogical appproach
emphasizes problem-solving, use of technology and hands-on materials,
communication, and strategies to work with English Language
Learners.

Math 505D:
Data Analysis and Probability for K-8 Teachers (3 units)
The course focuses on developing a deep understanding of key ideas of probability and data analysis in grades K-8. Students will collect, represent and analyze data to make predictions in real-world situations. Experimental and theoretical probability will be discussed.

Math 505E: Number and Operations for K-8 Teachers
(3 units)
This course focuses on K-8 concepts about number systems (e.g., whole numbers, integers, rational numbers)and number operations (meanings and algorithms). The pedagogical approach emphasizes explorations, use of hands-on materials and communication of problem-solving strategies.

Math 505F:
Geometry + Measurement for K-8 Teachers (3 units)
The course focuses on developing a deep understanding of key ideas of geometry and measurement in grades K-8 (e.g., shape, transformations, different measurements). Students will construct models and use hands-on materials and technology to engage in geometric problem-solving.

Math 507C: Problem Solving for
Secondary Math Teachers (3 units)
This course provides secondary teachers with the opportunity to explore open-ended problems in Mathematics. The teachers will be introduced to the algorithms, and the concepts that underlie the exploratory problems. They will write up their research and also present their findings to the class.

Math 507D: Modern Algebra for
Secondary Math Teachers (3 units)
This course introduces secondary teachers to the structure and the theory behind algebra. It includes an in-depth study of polynomials; their factors, roots, and coefficients.

Math 507E: Principles of Calculus for
Secondary School Teachers (3 units)
This course investigates the concepts underlying calculus. The most fundamental of these limits of functions. Numerical, algebraic, and graphical properties of functions are analyzed.

Math 507F: Probabibility and Statistics for
Secondary Math Teachers (3 units)
This course develops both statistical thinking that will
help in
analyzing data sets and drawing useful conclusions and combinatorial
principles that will help in understanding the concept of
probability.
Math 530: Second Course in Geometry (3 units)
Topics may include low-dimensional topology; map coloring in the plane,
network (graphs), polyhedra, two-dimensional surfaces and their
classification, map coloring on surfaces (Heawood's estimate, Ringel-Young
theory), knots and links or projective geometry. Graduate-level
requirements include more extensive problem sets or advanced
projects.

Math 596A: Topics in Mathematics (3 units)
The development and exchange of scholarly information, usually in a small group setting. The scope of work shall consist of research by course registrants, with the exchange of the results of such research through discussion, reports, and/or papers.

Math 596F: Topics in Mathematics for Elementary and Middle School Teachers (3 units)
This course will focus on connections across key areas in K-8 mathematics (e.g., algebra, geometry, numbers and operations, data analysis and probability). The pedagogical approach will emphasize problem solving, use of technology, communication and hands-on materials.

Math 596G: Research Tutorial Group (3 units)
Introduction to research interests of the faculty. Required in Spring of first year in PH.D program in Mathematics and in the following Fall. Content varies