Compilation of Rules and Regulations of the State of Georgia › Department 505 - PROFESSIONAL STANDARDS COMMISSION › Chapter 505-3 - EDUCATOR PREPARATION RULES › Rule 505-3-.27 - Mathematics Education Program

Current through Rules and Regulations filed through
			 June 27, 2024
(1)
Purpose.
This rule states field-specific content standards for
			 approving programs that prepare individuals to teach Mathematics in grades
			 6-12, and supplements requirements in GaPSC Rule
			 505-3-.01 REQUIREMENTS AND STANDARDS
			 FOR APPROVING EDUCATOR PREPARATION PROVIDERS AND EDUCATOR PREPARATION PROGRAMS
			 and in GaPSC Rule
			 505-3-.03 FOUNDATIONS OF READING,
			 LITERACY, AND LANGUAGE.
(2)
Requirements.
(a) To receive
			 approval, a GaPSC-approved educator preparation provider shall offer an
			 educator preparation program described in program planning forms, catalogs, and
			 syllabi addressing the following standards adapted from the standards published
			 in 2020 by the National Council of Teachers of Mathematics (NCTM) and the
			 National Standards for Personal Financial Education published in 2021 by the
			 Council for Economic Education and Jump Start.
1.
Knowing and Understanding
			 Mathematics
. Candidates demonstrate and apply understandings of
			 major mathematics concepts, procedures, knowledge, and applications within and
			 among mathematical domains of Number; Algebra and Functions; Calculus;
			 Statistics and Probability; Geometry, Trigonometry, and Measurement.
(i) Essential Concepts in Number. Candidates
			 demonstrate and apply understandings of major mathematics concepts, procedures,
			 knowledge, and applications of number including flexibly applying procedures,
			 using real and rational numbers in contexts, developing solution strategies,
			 and evaluating the correctness of conclusions. Major mathematical concepts in
			 Number include number theory; ratio, rate, and proportion; and structure,
			 relationships, operations, and representations.
(ii) Essential Concepts in Algebra and
			 Functions. Candidates demonstrate and apply understandings of major mathematics
			 concepts, procedures, knowledge, and applications of algebra and functions
			 including how mathematics can be used systematically to represent patterns and
			 relationships including proportional reasoning, to analyze change, and to model
			 everyday events and problems of life and society. Essential Concepts in Algebra
			 and Functions include algebra that connects mathematical structure to symbolic,
			 graphical, and tabular descriptions; connecting algebra to functions; and
			 developing families of functions as a fundamental concept of mathematics.
			 Additional Concepts should include algebra from a more theoretical approach,
			 including relationships between structures (e.g., groups, rings, and fields) as
			 well as formal structures for number systems and numerical and symbolic
			 calculations.
(iii) Essential
			 Concepts in Calculus. Candidates demonstrate and apply understandings of major
			 mathematics concepts, procedures, knowledge, and applications of calculus,
			 including the mathematical study of the calculation of instantaneous rates of
			 change and the summation of infinitely many small factors to determine some
			 whole. Essential Concepts in Calculus include limits, continuity, the
			 Fundamental Theorem of Calculus, and the meaning and techniques of
			 differentiation and integration.
(iv) Essential Concepts in Statistics and
			 Probability. Candidates demonstrate and apply understandings of statistical
			 thinking and the major concepts, procedures, knowledge, and applications of
			 statistics and probability including how statistical problem solving and
			 decision making depend on understanding, explaining, and quantifying the
			 variability in a set of data to make decisions. They understand the role of
			 randomization and chance in determining the probability of events. Essential
			 Concepts in Statistics and Probability include quantitative literacy,
			 visualizing and summarizing data, statistical inference, probability, and
			 applied problems.
(v) Essential
			 Concepts in Geometry, Trigonometry, and Measurement. Candidates demonstrate and
			 apply understandings of major mathematics concepts, procedures, knowledge, and
			 applications of geometry, including using visual representations for numerical
			 functions and relations, data and statistics, and networks, to provide a lens
			 for solving problems in the physical world. Essential Concepts in Geometry,
			 Trigonometry, and Measurement include transformations, geometric arguments,
			 reasoning and proof, applied problems, and non-Euclidean geometries.