# University of Vermont

## 2011-12 Online Catalogue

### Courses in Mathematics for Educators (MAED)

- MAED 205 - Math as a Second Language
- Deep conceptual understanding of the operations of arithmetic and interrelationships among arithmetic, algebra, and geometry; applications to the K-8 classroom. Prerequisite: Teacher license.
- Credits: 3.00
- MAED 210 - Functions/Algebra for Teaching
- Functions, graphs, inverse functions, linear functions, straight lines, linear equations and inequalities, and applications; applications to the K-8 classroom. Prerequisite: MAED 205.
- Credits: 3.00
- MAED 215 - Trig/Algebra for Teachers II
- Similar triangles, trigonometric functions, applications to measurement, periodic phenomena; quadratic functions; applications to the K-8 classroom. Prerequisites: MAED 205 and MAED 210.
- Credits: 3.00
- MAED 220 - Measure/Probabil for Teachers
- Measurement (length, area and volume), probability, application to problem solving, and the ways in which these concepts develop across the K-12 curriculum. Prerequisites: MAED 205, MAED 210, and MAED 215.
- Credits: 3.00
- MAED 225 - Number Theory for Teachers
- Division algorithm, prime numbers, fundamental theorem of arithmetic, factors and multiples, number bases, arithmetic progressions; emphasis on how number theory is taught in grades K-8. Prerequisites: MAED 205, MAED 210, and MAED 215.
- Credits: 3.00
- MAED 230 - Alg/Geom for Teachers III
- Exponents, compound interest, exponential functions, logarithms, the base e, growth and decay, research in mathematics education and K-8 curriculum projects. Prerequisites: MAED 205, MAED 210, and MAED 215.
- Credits: 3.00
- MAED 235 - Calculus for Teachers I
- Limits, instantaneous change, differentiation, optimization, applications to the K-8 classroom, and K-8 curriculum projects. Prerequisites: MAED 205, MAED 210, MAED 215, MAED 220, and MAED 230.
- Credits: 3.00
- MAED 240 - Calculus for Teachers II
- Continued study of calculus and its relationship to the K-8 curriculum. Topics include infinite series, calculating area, the definite integral, Fundamental Theorem of Calculus. Prerequisite: MAED 235.
- Credits: 3.00
- MAED 295 - Advanced Special Topics
- See Schedule of Courses for specific title.
- Credits: 1.00 to 18.00
- MAED 300 - Statistics & Research I
- Introduction to statistics with emphasis on research in K-8 education. Representing and summarizing data, measures of relationship between variables, inference from sample data to population. Prerequisites: MAED 205, MAED 210, and MAED 215.
- Credits: 3.00
- MAED 305 - Statistics & Research II
- Error bars in graphs, margins of error in surveys, and confidence intervals; interpret and critique educational research studies; analysis of school assessment data activities. Prerequisite: MAED 300.
- Credits: 3.00
- MAED 310 - Statistics & Research III
- Regression, chi-square analysis, design of research studies, reading of research on K-8 instructional practice, design action research project. Pre/co-requisites: MAED 305, or Prerequisite: MAED 305.
- Credits: 3.00
- MAED 315 - Capstone VMI Experience
- This course concludes the VMI's school-based-research component. Teachers synthesize their coursework and field experiences and revisit key mathematical concepts from arithmetic through calculus. Prerequisite: 30 hours MAED courses.
- Credits: 3.00