Secondary Teacher Certification (M.Ed.)
Mathematics Endorsement Course Requirements
Applicants to the UW Bothell Secondary Teacher Certification M.Ed. who plan to earn an endorsement in Math must have completed coursework in the following areas prior to starting the fieldwork portion of the program. Courses must have been completed with a minimum grade of 2.5.
Please note: it is not necessary to have completed an entire course in the content area. One course may cover multiple content areas if content was addressed in depth.
The following list contains examples of course content that meet the requirements for each subject area. Applicants may have completed courses with equivalent content.
Calculus - 3 courses
Examples of course content:
- Calculus I: Develops modern calculus by
investigating the questions, problems, and ideas that motivated its discovery
and practice. Studies the real number system and functions defined on it,
focusing on limits, area and tangent calculations, properties and applications
of the derivative, and the notion of continuity.
- Calculus II: Focuses on the historical
emergence of modern calculus, the Fundamental Theorem, area, volume, and area
length calculations, properties and applications of the integral, infinite
series, Taylor and Fourier expansions, and the Weierstrass definition of limit.
Emphasizes problem-solving and mathematical thinking.
Geometry - 2 courses
Example of course content:
- Geometry: Concepts
of geometry from multiple approaches; discovery, formal and informal reasoning,
transformations, coordinates, exploration using computers and models. Topics
selected from Euclidean plane and space geometry, spherical geometry,
non-Euclidean geometries, fractal geometry.
Algebra - 2 course
Examples of course content:
- Linear Algebra with Applications: Introduction
to linear algebra (i.e., concepts, tools, and operations related to matrices
and vectors) with emphasis on interdisciplinary applications. Provides an
introduction to the mathematical concepts, arguments, and proofs that occur in
linear algebra.
- Matrix Algebra with Applications: Systems
of linear equations, vector spaces, matrices, subspaces, orthogonality, least
squares, eigenvalues, eigenvectors, applications.
Probability and Statistics - 2 courses
Examples of course content:
- Elements of Statistical Methods: Elementary concepts of probability and sampling, binomial and normal distributions. Basic concepts of hypothesis testing, estimation, and confidence intervals; t-tests and chi-square tests. Linear regression theory and the analysis of variance.
- Probability: Sample spaces; basic axioms of probability; combinatorial probability; conditional probability and independence; binomial, Poisson, and normal distributions.
Discrete Mathematics - 3 courses
Examples of course content:
- Discrete Math with Applications: Graph theory including Euler circuits, Hamiltonian circuits, traveling salesman, minimal spanning trees, critical path analysis; scheduling and bin packing including list processing algorithms, critical path scheduling; matrices including operations and inverses, matrix models, linear programming; logic and set theory including set notation, Boolean algebra; and game theory.
- Matrix Algebra with Application: Systems of linear equations, vector spaces, matrices, subspaces, orthogonality, least squares, eigenvalues, eigenvectors, applications.
- Discrete Mathematics Modeling: Introduction to methods of discrete mathematics, including topics from
graph theory, network flows, and combinatorics. Emphasis on these tools
to formulate models and solve problems arising in variety of
applications, such as computer science, biology, and management
science.
Logic and Problem Solving - 1 course
Example of course content:
- Introduction to Logic: Provides a thorough study of the formal conditions of valid
argumentation. Covers translations, truth tables, and natural deduction
using propositional (sentential) and predicate logic.
History of Math/Foundations of Math - 1 course
Examples of course content:
- History of Mathematics: Survey of the development of mathematics from its earliest beginnings through the first half of the twentieth century.
- Introduction to Mathematical Reasoning: Mathematical arguments and the writing of proofs in an elementary setting. Elementary set theory, elementary examples of functions and operations on functions, the principle of induction, counting elementary number theory, elementary combinatorics, recurrence relations.
- Mathmatics Across the Curriculum: Examines mathematical theories and concepts within their historical and cultural contexts.
Physics - 2 courses
Example of course content:
- General Physics: Basic principles of physics. Includes topics such as: kinematics, vectors, dynamics, work and energy, momentum, rotational motion, harmonic motion, fluids, heat, thermodynamics, electricity, and magnetism.
