N.H. Admin. Code § Ed 507.27

Current through Register No. 50, December 12, 2024

Section Ed 507.27 - Mathematics Teacher - Upper Level

(a) To be certified as an upper level mathematics teacher, the candidate shall:

(1) Obtain certification to teach pre-algebra through advanced placement math courses through one of the alternatives in Ed 505.01-Ed 505.05; and

(2) Meet the requirements of Ed 507.25 and Ed 507.27(c) below.

(b) For candidates seeking certification through an alternative 3, 4 or 5 pathway, pursuant to Ed 505.03, Ed 505.04, or Ed 505.05, the department of education shall assess the skills, competencies, and knowledge of candidates for certification as teachers in upper level mathematics by reviewing evidence, such as, but not limited to, college course work, documented professional experience, letters of recommendation, professional development hours or CEUs, and artifacts of professional practice.

(c) A candidate for certification as an upper level mathematics teacher shall have skills, competencies, and knowledge as follows:

(1) In the area of number and operations, the candidate shall have the ability to identify and illustrate the mathematics underlying the theory of groups, rings, and fields and the relationships among them;

(2) In the area of functions and algebra, the candidate shall have the ability to:

a. Understand and apply major concepts of:

1. Linear algebra, including vector spaces and matrices; and

2. Abstract algebra, including groups, rings, and fields;

b. Connect major concepts of linear and abstract algebra to the complex number system and other mathematical structures; and

c. Understand, identify, and apply arithmetic and geometric sequences, including partial sums of infinite arithmetic and geometric sequences, with connections to linear and exponential functions;

(3) In the area of calculus, the candidate shall have the ability to:

a. Demonstrate a conceptual understanding of and procedural facility with basic calculus concepts including limits, continuity, differentiation, and integration; and

b. Demonstrate an understanding of the basic concepts of multivariable calculus; and

(4) In the subject area of discrete mathematics, the candidate shall demonstrate a conceptual understanding of, and procedural facilitation of, the knowledge of the basic elements of discrete mathematics, including but not limited to:

a. Graph theory;

b. Propositional logic;

c. Mathematical induction;

d. Recurrence relations;

e. Finite differences;

f. Linear programming; and

g. Combinatorics.

N.H. Admin. Code § Ed 507.27

#7274 eff 7-1-00, EXPIRED: 7-1-08

New. #9525, eff 8-14-09

Amended by Volume XXXVIII Number 06, Filed February 8, 2018, Proposed by #12452, Effective 1/12/2018, Expires 1/12/2028.

Amended by Volume XXXVIII Number 37, Filed September 13, 2018, Proposed by #12603, Effective 8/9/2018, Expires 8/9/2028.