Mathematics Secondary Education, 8-12

PREREQUISITES

MATH 1124 – Precalculus – 4 credit hours

Explores algebraic, polynomial, exponential, logarithmic and trigonometric functions, and their inverses, graphs, matrices, vectors, conics, and applications. A graphic calculator is used. Note: This course is a prerequisite for MATH 2315 and MATH 2503. Prerequisite: MATH 1013 or placement. Course rotation: All semesters.

PSYC 1003 – Principles of Psychology – 3 credit hours

Introduction to the scientific study of human behavior. Fundamental facts, theories, concepts and principles of psychology are included. Course rotation: Fall and spring.

ACADEMIC MAJOR:  MATHEMATICS

MATH 2315 – Analytic Geometry & Calculus I – 5 credit hours

An introduction to analytic geometry, functions, limits, and continuity, the derivative and applications, the differential, integration and applications. Prerequisite: MATH 1124 or equivalent. Course rotation: All semesters.

MATH 2325 – Analytic Geometry & Calculus II – 5 credit hours

Presents topics including techniques of integration, indeterminate forms and improper integrals, infinite series, analytic geometry, plane curves and polar coordinates. Prerequisite: MATH 2315. Course rotation: Spring.

MATH 2503 – Discrete Mathematics – 3 credit hours

An introduction to the formal mathematical study of proof through topics that include Boolean algebra, set theory, combinatorics, relations, functions, and graph theory. Prerequisite: MATH 1124 or equivalent. Course rotation: Fall.

MATH 2713 – Introduction to Computational Science – 3 credit hours

Presents an introduction to the theory and application of computer programming. Basic control 195 structures and object-oriented constructs are explored. Also listed as CIS 2713. Prerequisite: MATH 1013 or a minimum ACT mathematics subscore of 26 or equivalent. Course rotation: Spring.

MATH 3003 – Linear Algebra – 3 credit hours

Concepts and topics include systems of linear equations, vector spaces, linear transformations, matrices, and determinants. Prerequisite: MATH 2315. Course rotation: Spring.

MATH 3113 – Geometry – 3 credit hours

Concepts and topics explored in this class include constructions, the axiomatic method, Euclidean geometry, finite geometries, transformational geometry, and other non-Euclidean geometries. Prerequisite: MATH 2315. Course rotation: Spring.

MATH 3153 – Mathematics for 7th to 12th Grade Teachers – 3 credit hours

For future mathematics teachers for grades 7-12, the course’s purpose is to provide depth of knowledge in the mathematics commonly taught in upper middle school and high school. Topics include number system operations, elementary number theory, functions, lines in the plane, quadratic and higher degree polynomials, trigonometry, and measurement. Available technology will be utilized when appropriate. Prerequisites: C or higher in MATH 2315 and EDUC 2123. Course rotation: Alternate spring.

MATH 3203 – Probability & Statistics – 3 credit hours

Concepts and topics explored in this class include a review of elementary properties of probabilities events, statistical densities and distributions, properties of random variables, expected values, law of large numbers, and sampling. Statistical software is used to complement the statistical methodology. Prerequisite/corequisite: MATH 3314 (C or higher if prerequisite) or instructor’s permission. Course rotation: Alternate fall.

MATH 3213 – Introduction to Abstract Mathematics – 3 credit hours

Discovery, communication, and rigorous proof of mathematical statements. The logic, language, and syntax of sets, functions, and axiomatic systems will be presented in various contexts and levels of abstraction. Topics include the algebra of sets, equivalence relations, injections and surjections, images and inverse images, mathematical induction, cardinality, and an axiomatic treatment of the real numbers. Prerequisites: C or higher in MATH 2315 and MATH 2503. Course rotation: Varies.

MATH 3314 – Calculus III – 4 credit hours

Concepts and topics explored include multivariable functions, partial derivatives, multiple integrals, and vector analysis. Prerequisite: MATH 2325. Course rotation: Fall.

MATH 3323 – Differential Equations – 3 credit hours

Concepts and topics explored in this class include first and second order ordinary differential equations, the Laplace transform, and matrix systems of ordinary differential equations. Prerequisite: C or higher in MATH 2325 or instructor’s permission. Course rotation: Alternate spring.

MATH 3333 – Engineering Mathematics – 3 credit hours

Topics that appear in the study of the physical sciences and in engineering. Topics can vary but will include theorems from vector calculus; complex variables; and partial differential equations. Particular emphasis is placed on the integration of technology into the mathematical process. Prerequisite: C or higher in MATH 2325 or instructor’s permission. Course rotation: Alternate spring.

MATH 4113 – Abstract Algebra I – 3 credit hours

A theoretical development of topics in modern algebra including groups, rings, and fields. Prerequisites: C or higher in MATH 3003 and MATH 3213. Course rotation: Varies.

MATH 4403 – Mathematical Modeling – 3 credit hours

Introduces the application and modeling processes of mathematics. Both deterministic and stochastic models are explored. The use of computer packages and algorithms will be incorporated into the solution process. Prerequisite/corequisite: MATH 3314 (C or higher if prerequisite) or instructor’s permission. Course rotation: Alternate fall.

MATH 4413 – Foundations of Analysis I – 3 credit hours

A theoretical development of topics in real analysis including sequences, limits, continuity, differentiability, Riemann integration, and infinite series. Prerequisites: C or higher in MATH 2325 and MATH 3213. Course rotation: Varies.

PROFESSIONAL PREPARATION: EDUCATION

EDUC 2123 – The Teaching Profession – 3 credit hours

Provides an overview of formalized schooling: influence of cultural background and socioeconomic status on child development and learning; teacher ethics; legal issues; student diversity; and curriculum. Includes a study of the historical movements of Western thought that have shaped contemporary educational theory and practice in the United States. Students will use technology to analyze the underlying philosophical themes revealed in the current structure and content of primary, middle level, and secondary education. Includes field hours. Course rotation: Fall and spring.

EDUC 2713 – Introduction to Educational Technology – 3 credit hours

Introduces the theory and practice of instructional technology from historical and pragmatic perspectives. Studies the context and rationale for technology infusion in education, the definition of instructional technology, and its development in practice, the history of the field and current trends and issues. Students develop competencies in educational technology appraisal, technologically mediated communication and research, and the selection, development and application of multimedia to instruction. Prerequisite or Corequisite: EDUC 2123. Course rotation: Fall and spring.

EDUC 3123 – Principles of Lifelong Learning – 3 credit hours

A study of psychology’s role in the understanding of human growth and development and its effect on learning. Students will become conversant with prevalent learning theories, experimental findings, and other data applicable to teaching and learning in the education profession. Students will integrate and apply the course knowledge base through case studies and application in P-12 educational settings. Includes field hours. Prerequisite: PSYC 1003 and admission to the teacher education program. Course rotation: Fall and spring.

EDUC 3143 – The Exceptional Learner – 3 credit hours

A study of the social, psychological, and physiological aspects of diverse student needs in the classroom that include learning disabilities, the gifted, and the visually, aurally, physically, emotionally, and neurologically challenged. A major focus of the course is differentiation of instruction and accommodating the needs of learners.  In the field hours, education candidates will work collaboratively with the classroom teacher and utilize technology in assisting student learning. Corequisite: PSYC 1003. Prerequisites: Admission to the teacher education program and EDUC 3403 or EDUC 3413. Course rotation: Fall and spring.

EDUC 3403 – Fundamentals of Secondary Education – 3 credit hours

Introduces the historical role and contemporary practices of P-12 education in U.S. society. Topics include: theories underlying educational curriculum and instruction, generic teaching methods, issues in student diversity, instructional technology, principles/ problems/materials/media, and techniques involved in instructional activities. Students use technology to develop competencies in standards-based lesson/unit planning and lesson presentation. Includes field hours. Prerequisite: EDUC 2123. Course rotation: Fall and spring.

EDUC 3523 – Reading & Writing in the Content Areas 5-9, 8-12 & P-12 – 3 credit hours

Establishes methods and techniques for incorporating literacy instruction, including digital media technology, in the content teaching of middle and high school teachers. Includes an overview of the reading and writing processes and discusses the application of literacy principles to the content areas. Literacy needs of diverse learners in closing the achievement gap is also addressed in order to prepare students for literacy requirements outlined in the Kentucky Academic Standards (KAS) and Career Readiness Standards. Includes field hours. Prerequisites: Admission to the teacher education program, EDUC 3403, and junior standing. Course rotation: Fall.

EDUC 4103 – Measurement & Assessment in Education – 3 credit hours

A pragmatic approach to the study of educational tests and measurement that explains essential psychometric concepts and their application in the classroom. Includes a thorough discussion of performance and portfolio assessments as well as how to assess special needs students. Uses technology, construction, selection, administration, interpretation, and utilization of evaluation techniques and instruments, including statistical interpretations. Includes field hours. Prerequisite: Admission to the teacher education program. Course rotation: Fall and spring.

EDUC 4433 – Curriculum & Methodology in Secondary Schools – 3 credit hours

An in-depth study of discipline-specific principles of secondary curriculum and instruction. Topics include theory and standards organizing disciplinary scope and sequence, preparation of activities, lessons and unit plans, micro-teaching, and the study and application of integrative principles and techniques. Students develop competencies in disciplinary curriculum design technology integration and expand repertoire of assessment and instructional strategies appropriate to their content area. Includes field hours. Prerequisites: Admission to the teacher education program, EDUC 3403, EDUC 3523, and second semester junior standing. Course rotation: Spring.

EDUC 4463 – Classroom Management 5-9 & 8-12 – 3 credit hours

Acquaints the student with classroom organization, discipline strategies, and classroom management techniques using technology designed as a culminating experience prior to student teaching that prepares students for effective classroom management in rural/small-school settings. Includes field hours. Prerequisites: Admission to the teacher education program, and EDUC 3403 or EDUC 3413, and last semester before student teaching. Course rotation: Fall and spring.

EDUC 4600 – Supervised Student Teaching – 12 credit hours

The student-teacher is expected to observe systematically expert teaching and to engage, under supervision, in the conduct of class sessions. The student-teacher also is expected to acquire skills in, and familiarity with, the co-curricular activities of a teacher and technology integration. Personal and group conferences and systematic supervision by faculty members are part of this requirement. Open only to students who have been approved for this part of the program. ($155 student teaching fee)  Corequisite: EDUC 4603. Course rotation: Fall and spring.

EDUC 4603 – Practicum – 3 credit hours

Taken during the student teaching semester using technology to study curriculum, methods, media, computer software materials, and instructional procedures in the content areas in secondary education with an emphasis on field experience. Corequisite: EDUC 4600. Course rotation: Fall and spring.