Overview
The Bachelor of Art in Mathematics with a Preliminary Single Subject Credential provides a rigorous education that prepares candidates for a career as a teacher of Mathematics at the middle and secondary school levels. The program stresses foundation in mathematics and its application. This program prepares candidates for professional work as single subject teachers in a changing cultural and economic environment. Candidates are required to complete all required coursework as well as the Basic Skills requirement and CSET to receive a credential.
Requirements
To receive a Bachelor of Art in Mathematics with a Single Subject Teaching Credential, candidates must complete at least 180 quarter units as articulated below, 45 of which must be completed in residence at National University and 76.5 of which must be completed at the upper-division level. In the absence of transfer credit, additional general electives may be necessary to satisfy total units for the degree. The following courses are specific degree requirements. Students should refer to the section on undergraduate admission procedures for specific information on admission and evaluation.
Program Outcomes
Upon completion of the Bachelor of Arts in Mathematics with a Preliminary Single Subject Credential, students will:
· experience, master, and apply skills and knowledge in problem solving;
· use language and mathematical symbols to communicate mathematical ideas;
· demonstrate a variety of reasoning skills;
· investigate the connections and interplay among various mathematical topics and their applications that cover range of phenomena across appropriate disciplines;
· use current technology tools, such as computers, calculators, graphing utilities, video, and interactive programs that is appropriate for the research and study in mathematics;
· understand the classic and modern algebra as a fundamental language through which mathematics is communicated;
· develop fundamental knowledge of geometry;
· model real world problems with a variety of algebraic and transcendental functions in order to translate between the tabular, symbolic, and graphical representation of functions;
· understand the beauty of pure number theory, including such advanced topics as diophantine equations, number-theoretic functions, quadratic reciprocity, primitive roots, and continued fractions;
· use advanced statistics and probability concepts and methods to analyze and study different real-world problems;
· demonstrate application of educational technology to meet the needs of all learners including those with special needs and linguistically and culturally diverse students;
· demonstrate knowledge of adolescent development in order to explain how to support growth in cognitive, social, physical, and emotional domains;
· utilize different teaching strategies to accomplish educational goals;
· demonstrate a thorough understanding of the learning needs of students to create positive learning environments that ensure healthy human growth;
· demonstrate understanding through use of systematic observations, documentation, and other effective assessment strategies in a responsible manner to facilitate and account for learning, and to support positive growth;
· design, implement, and evaluate standards-based lesson plans for learning and achievement in content areas;
· consider students' knowledge when designing, implementing, and assessing curriculum to promote developmentally appropriate learning outcomes for all children;
· adhere to professional standards and ethics.
General Education Requirements
(81 quarter units)
The General Education requirements are listed below.
AREA A: English Communication
(15 quarter units required)
AREA B: Mathematical Concepts and Quantitative Reasoning.
(13.5 -15 quarter units required)
MTH 210 Introduction to Probability and Statistics
(Prerequisite: Placement Evaluation)
MTH 215 College Algebra and Trigonometry
(Prerequisite: Placement Evaluation)
or
MTH 216A College Algebra and Trigonometry I
(Prerequisite: placement evaluation)
and
MTH216 B College Algebra and Trigonometry II
(Prerequisite placement evaluation)
MTH 220 Calculus I
(Prerequisites: MTH 215 or MTH 216 A/B, or placement equivalent)
AREA C: Information Literacy and Technology
(4.5 quarter units required)
AREA D: Arts and Humanities
(13.5 quarter units required)
AREA E: Social and Behavioral Sciences
(13.5 quarter units required)
AREA F: Physical and Biological Sciences
(10.5 quarter units required with 1 lab)
AREA G: Modern Language
(9 quarter units required)
See the General Catalog for Modern Language requirement
Preparation for the Major
(5 courses; 19.5 quarter units)
MTH 221 Calculus II
(Prerequisites: MTH 220)
MTH 222 Calculus III
(Prerequisites: MTH 221)
MTH 223 Calculus IV
(Prerequisites: MTH 222)
TED 320 Introduction to Teaching as a Profession (1.5 quarter units) (includes 30 hours of field experience)
ENG 350 Fundamentals of Linguistics
(Prerequisites: ENG 100/101)
Passage of Basic Skills requirement and completion of TED 320 is required before taking any other TED courses required for the major.
Mathematics Requirements
(11 courses; 49.5 quarter units)
MTH 311 Topics from Geometry
(Prerequisites: MTH 215 or MTH 216 A/B or placement evaluation)
MTH 325 Discrete Structures and Logic Design
(Prerequisites: MTH 215 or MTH 216 A/B, or placement evaluation)
or
CSC 331 Discrete Structures and Logic
(Prerequisite: CSC 252, CSC 310)
MTH 411 Number Theory
(Prerequisites: MTH 215 or MTH 216 A /B or 301 or placement evaluation)
MTH 435 Linear Algebra
(Prerequisites: MTH 325 and MTH 220)
MTH 416 Algebraic Structures
(Prerequisites: MTH 325 and MTH 435)
MTH 417 Foundation of Geometry
(Prerequisites: MTH 215 or MTH 216A/B and MTH 311)
MTH 418 Statistical Analysis
(Prerequisites: MTH 210 and MTH 220)
MTH 412 History of Mathematics
(Prerequisites: MTH 215, MTH 216A/B, or MTH 301)
MTH 410 Computer Technology in the Mathematics Classroom
(Prerequisites: MTH 215 or MTH 216 A/B or MTH 301)
MTH 460 Problem Solving Strategies
(Prerequisites: MTH 416 or MTH 417)
MTH 461 Methods of Teaching of Math
(Prerequisites: MTH 311, MTH 325, MTH 412, MTH 460)
Education Theory and Methodology Requirements
(7 courses; 31.5 quarter units)
All Teacher Education coursework has a field experience component. Students must maintain a 3.0 GPA within all TED coursework. Grades of "D" or "F" are not acceptable.
TED 300 Fundamentals of Education
(Prerequisites: Admission to the Teacher Education program, ENG 100/101, TED 320)
TED 310 Development and Learning
(Prerequisites: Admission to the Teacher Education program, ENG 100/101, TED 320)
TED 330B Reading and Language Arts Methods – Secondary
(Prerequisites: Admission to the Teacher Education program, ENG 100/101, TED 320, TED 300 and TED 310)
TED 340 Reading in the Content Area
(Prerequisites: Admission to the Teacher Education program, ENG 100/101, TED 320, TED 300 and TED 310)
TED 420 Diversity in Teaching and Learning
(Prerequisites: ENG 100/101, TED 320)
TED 430 Instructional Strategies for Students with Special Needs
(Prerequisites: ENG 100/101, TED 320)
TED 440 Classroom Leadership and Assessment Seminar
(Prerequisites: ENG 100/101, TED 320)
Student Teaching Requirements
(5 courses; 21 quarter units)
(Prerequisites: ALL MAJOR coursework must be completed satisfactorily including the GPA requirement for TED courses.)
Students must pass CSET prior to beginning student teaching. TED 470 and 465 A, B, C, and D are field experience courses receiving an Honors, Satisfactory or Unsatisfactory grade and are not factored into the cumulative GPA.
TED 465A Student Teaching I
Completion of all upper-division course requirements, including all TED coursework.)
TED 465B Student Teaching II
Completion of all upper-division course requirements, including all TED coursework.)
TED 465C Student Teaching III
Completion of all upper-division course requirements, including all TED coursework.)
TED 465D Student Teaching IV
Completion of all upper-division course requirements, including all TED coursework.)
TED 470 Student Teaching Seminar and e-Portfolio Assessment (3 quarter units)
(Must be taken concurrently with TED 465 A-D.)
Credentialing Requirement
Additional course for satisfying SB 2042 and CTC for California Teaching Credential
(1 course; 4.5 quarter units)
*Students must have senior standing to enroll in this class. The following course is graduate level. The grade earned must be a "B" or better. This course will not transfer to any graduate level program (at National University or elsewhere).
HEDX 1201X Health Education for Teachers