006.38A Grade Levels: 7-12.
006.38B Endorsement Type: Field.
006.38C Persons with this endorsement may
teach mathematics in grades 7 through 12.
006.38D Certification Endorsement
Requirements: This endorsement shall require a minimum of 30 semester hours of
mathematics.
006.38E Endorsement
Program Requirements: Nebraska teacher education institutions offering this
endorsement program must have on file, within the institution, a plan which
identifies the courses and the course completion requirements which the
institution utilizes to grant credit toward completion of this endorsement.
THE FOLLOWING ARE RECOMMENDED GUIDELINES FOR
INCLUSION AS PART OF THE INSTITUTION'S PLAN UNDER THIS
ENDORSEMENT.
Through the courses identified in its plan, the institution
should prepare prospective teachers to demonstrate the following
criteria:
A. Demonstrate knowledge and
understanding of and be able to teach the concepts, skills, and processes of
mathematics as defined in the Nebraska Content Standards for eighth and twelfth
grades.
B. Demonstrate an
understanding of and be able to apply the processes of mathematics, including
being able to:
1. Use problem-solving
approaches to investigate and understand mathematical content;
2. Formulate and solve problems from both
mathematics and everyday situations;
3. Communicate mathematical ideas orally and
in writing using everyday language, mathematical language, symbols, and
graphs;
4. Make mathematical
conjectures, evaluate arguments and validate mathematical thinking;
5. Examine relationships within
mathematics;
6. Connect mathematics
to other disciplines and real-world situations;
7. Use technology in exploration,
computation, graphing, and problem solving; and
8. Use instructional strategies based on
current research as well as national, state, and local standards relating to
mathematics instruction.
C. Demonstrate an understanding of and be
able to apply the concepts and principles of mathematics, including being able
to:
1. Apply concepts of number, number
theory, and number systems;
2.
Apply numerical computation and estimation techniques and extend them to
algebraic expressions;
3. Use
geometric concepts and relationships to describe and model mathematical ideas
and real-world constructs;
4. Use
both descriptive and inferential statistics to analyze data, make predictions,
and make decisions;
5. Demonstrate
an understanding of the concepts of theoretical and simulated probability and
apply them to real-world situations;
6. Use algebra to describe patterns,
relations, and functions and to model and solve problems;
7. Recognize the roles of axiomatic systems
and proofs in different branches of mathematics, such as algebra and
geometry;
8. Demonstrate an
understanding of the concepts of limit, continuity, differentiation, and
integration, and the techniques and applications of calculus;
9. Demonstrate an understanding of the
concepts and applications of discrete mathematics such as graph theory,
matrices, recurrence relations, linear programming, difference equations, and
combinatorics;
10. Use mathematical
modeling to solve problems from other fields such as natural sciences, social
sciences, business, and engineering;
11. Demonstrate an understanding of and be
able to apply the major concepts of geometry;
12. Demonstrate an understanding of and be
able to apply the major concepts of linear algebra;
13. Demonstrate an understanding of and be
able to apply the major concepts of abstract algebra; and
14. Demonstrate an understanding of the
historical development in mathematics that includes the contributions of
under-represented groups and diverse cultures.
D. The program for prospective teachers may
include the following course work: Pre-calculus, Calculus, Logic/Foundations,
Linear Algebra, College Geometry, Probability and Statistics, Discrete/Finite
Mathematics, History of Mathematics, Abstract Algebra, and Computer Programming
and Applications.
