Alternate IV Plan

Competency

MATH 3a. Demonstrate the capacity to learn mathematics independently.

MATH 3b. Demonstrate the capacity to construct proofs and logical arguments usingan axiomatic approach to verify hypotheses in mathematics.

MATH 3c. Demonstrate the capacity to communicate about mathematics andmathematics education in both written and oral ways that includes informal andprofessional formats.

MATH 3f. Provide current examples of mathematical practices and notation withinvarious cultures.

MATH 3g. Trace the historical development of mathematics topics includingcontributions by major world cultures.

MATH 3h. Provide examples of how mathematics is practiced in various fields, suchas engineering, nursing, carpentry, and the arts.

MATH 3j. Demonstrate knowledge of history of mathematics education.

MATH 3l. Articulate the power of mathematics as an academic discipline, a tool forquantitative reasoning, and a gateway to many career choices.

MATH 4. In the subject area of numbers and numeration, the candidate shall have theability to:

MATH 4a. Demonstrate an understanding of the axiomatic development of the realand complex number systems.

MATH 4b. Demonstrate a capacity to use models to explore and explain relationshipsamong fractions, decimals, percents, ratios, and proportions.

MATH 4c. Use estimation strategies and mental computation techniques to judge thereasonableness of answers and to approximate solutions.

MATH 4d. Use physical materials and models to explore and explain operations andproperties of real numbers and their subsets.

MATH 4e. Demonstrate a capacity to apply the concepts of proportional reasoning.

MATH 6. In the subject area of algebra, the candidate shall have the ability to:

MATH 6a. Use functions and algorithms from analytic geometry and trigonometry tosolve problems and to demonstrate connections between various representationssuch as the connection between functional relationships expressed symbolically, in atable, and graphically.

MATH 6b. Articulate the meaning of functions both formally and informally includingbut not limited to exponential, polynomial, periodic step, absolute value, root, andtrigonometric; and iterations such as equivalences.

MATH 6c. Understand and apply the major concepts of linear and abstract algebraand connect these concepts to secondary mathematics.

Where Met:

Masters: Logic, Proofs, and Axiomatic Structures

Masters: History of Math Foundations

Masters: Visual Group Theory

Completion of Masters.