Alabama Administrative Code › Title 290 - ALABAMA STATE BOARD OF EDUCATION › Chapter 290-3-3 - TEACHER EDUCATION - PROFESSIONAL SERVICES › Section 290-3-3-.26 - Mathematics (Grades 6-12)

Current through Register Vol. 42, No. 9, June 28, 2024
(1)
Rationale.
All secondary mathematics teachers should be prepared
			 with depth and breadth in the mathematical domains identified in Rule
			 290-3-3-.26(2)(a) and should know, understand, teach, and be able to
			 communicate their mathematical knowledge with the breadth of understanding
			 reflecting competencies for each of these domains. These standards are
			 consistent with the 2020 standards of the National Council of Teachers of
			 Mathematics (NCTM). The standards build upon the Alabama Core Teaching
			 Standards.
(2)
Program
			 Curriculum.
In addition to meeting Rules
			 290-3-3-.03(6)(a)1. -4.,
			 290-3-3-.03(6)(e)1.(i) -(iii)
			 and 2.(i)-(iii),
			 290-3-3-.04,
			 290-3-3-.05,
			 and
			 290-3-3-.14,
			 the teaching field shall require an academic major of at least 30 semester
			 hours of credit with at least 18 semester hours of upper-division credit.
			 Additional information is provided in the definition for academic major in Rule
			 290-3-3-.01(2).
(a)
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.
1. 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.
2. 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 relationship between structures (e.g., groups, rings, and fields) as
			 well as formal structures for number systems and numerical and symbolic
			 calculations.
3.
			 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.
4. 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.
5.
			 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.