Integrated Mathematics Education Course Descriptions
CIS 150 - Programming Fundamentals
3 Credits
Introduction to structured programming techniques, design, and style. Concepts of
modularity and elementary data structures are introduced. The laboratory component
of the course emphasizes the logical approach to problem solving through the analysis
of concrete examples and programming problems.
Prerequisite: MTH 102 or equivalent.
EDU 112 - Introduction to Teaching: Adolescence to Young Adult
13 Credits
This introduction to teaching includes supervised early experience of 60 hours in
grades 7-12 (AYA) or P-12 (Art) classroom. The exploratory contact with various school
activities is designed to help the student clarify the decision to become a member
of the teaching profession.
Not open to students with credit for EDU 115 and EDU 346A.
EDU 220 - Educational Psychology
3 Credits
A research based study of human growth and development as related to teaching and
learning. A study of language acquisition, multiple intelligence, learning styles,
student diversity and exceptionality, motivation and discipline, learning environments
and various forms of assessment/evaluation. Includes field experience of a minimum
of 10 hours.
Prerequisites: EDU 105 or 112 or equivalent.
EDU 314 - Content Area Reading
3 Credits
An examination of programs and methods in reading with a focus on theory and current
research in comprehension, the writing process, critical thinking and content area
reading. Emphasis is placed on reading to learn with meaning-based strategies that
help students construct meaning and expand thinking. Informal assessment of educational
materials for appropriate content reading levels and adaptation of content reading
materials is highlighted.
EDU 346 - Adolescent to Young Adult & Multi-Age Methods
3 Credits
A study and practice of the art and the science of teaching as informed by state standards
for teacher licensure including: secondary curricula, unit/lesson planning, instructional
strategies, learning environments, motivation, classroom management, collaboration,
student diversity and exceptionality, assessment/evaluation, the integration of technology
in teaching and learning, and professionalism. Includes a minimum of 30 hours of field
experience.
Prerequisite: Admission to the Education Division, EDU 220 or consent of the instructor/advisor.
May be a co-requisite with EDU 410. Please see EDU 410 course description for details.
EDU 379A - CORE: Principles of Education
3 Credits
Justice is part of our schools. Or, is it? This course in educational foundations
will develop from diverse perspectives an understanding of the historical, sociological,
and philosophical roots of education as they are impacted by justice and the question
“how shall we live.” Current educational issues and developments will structure the
course as we look at how education became an institution and why it must continue
to grow and change.
Prerequisite: CORE 179 or appropriate transfer status; ENG 102 or ENG 111. Not open
to students with credit in EDU 348A. This course fulfills the diversity, global, and
multicultural requirement.
EDU 410 - Assessment & Technology in Teaching & Learning
3 Credits
This course is designed to prepare undergraduate teacher candidates in all licensure
programs with the knowledge, skills, and dispositions to effectively integrate technology
in teaching for student learning and in designing assessment for student learning.
Candidates will understand and apply this knowledge during field experiences to fulfill
Ohio mandates for value added student growth measures, new innovative teacher assessment
measures (e.g. edTPA) and national legislative and judicial mandates (e.g. Higher
Education Opportunity Act, 2008; IDEA, 2004; NCLB, 2001) aligned with the professional,
local, state, and national standards including the common core standards.
Candidates will understand and apply the transformational concepts of universal design
for learning (UDL) principles and develop technological, pedagogical content knowledge
(TPACK) to teach the full spectrum of students in diverse classrooms in the 21st century.
Co-requisites:
- Adolescent and Young Adult and Multi-Age Program - one methods course from: EDU 346, EDU 353, 354, 355, MTH 352, ART 337;
- Middle Childhood Program - one methods course from: EDU 347, EDU 349a, EDU 349b, EDU 349c;
- Intervention Specialists Program - one methods course from: EDU 330, EDU 331, EDU 350, EDU 351;
- Early Childhood Program - two methods courses from: EDU 339, EDU 333a, EDU 333b, EDU
333c.
EDU 487 - Supervised Teaching: Adolescence to Young Adult or Multi-Age
12 Credits
Full-time, full-semester supervised student teaching in the student's area of licensure.
The student teacher assumes responsibility for the full teaching load of the cooperating
teacher including planning, teaching, evaluating and managing/disciplining, and teacher
duties.
Prerequisites: EDU 346 and Content Methods Course: EDU 353, EDU 354, EDU 355, MTH
352, or ART 337; and EDU 379A. Co-requisite: EDU 488 or equivalent.
EDU 488 - Teaching Seminar: Adolescent to Young Adult or Multi-Age
1 Credit
A discussion of various professional education topics and a sharing of teaching experiences
that assist the student in the transition from student to professional teacher. The
Program Completion Portfolio is prepared and presented during EDU 488.
Co-requisite: EDU 487.
MTH 240 - Calculus I
4 Credits
Topics include relations and functions, limits, continuity, derivatives, Mean Value
Theorem, extrema, curve sketching, related rates, differentiation of exponential,
logarithmic, and trigonometric functions, introduction to Integral Calculus, the fundamental
theorems of Calculus, elementary methods of integration, and applications.
The laboratory component of the course emphasizes mathematical modeling, problem solving,
and written/oral communication and will require the use of graphing calculators and
mathematical software.
Prerequisite: MTH 160 or placement.
MTH 241 - Calculus II
4 Credits
Topics include a continuation of Integral Calculus, integration techniques, integration
of exponential, logarithmic, trigonometric, inverse trigonometric, and hyperbolic
functions, applications of integration, indeterminate forms, improper integrals, parametric
curves, polar coordinates, series and sequences, and applications.
The laboratory component of the course emphasizes mathematical modeling, problem solving,
and written/oral communication and will require the use of graphing calculators and
mathematical software.
Prerequisite: MTH 240.
MTH 242 - Multivariable Calculus
4 Credits
Topics include vectors, functions of two or more variables, partial differentiation,
multiple integrals in rectangular, cylindrical, and spherical coordinate systems,
optimization, line integrals, vector fields, major theorems of vector calculus, and
applications.
Prerequisite: MTH 241.
MTH 270 - Mathematical Statistics
3 Credits
An introduction to the mathematical foundations of the study of statistics using calculus.
Topics include probability theory, probability distribution and densities, functions
of random variables, sampling distributions, hypothesis testing, estimation, regression,
and correlation analysis.
Prerequisite: MTH 241.
MTH 300 - Foundations in Mathematics
3 Credits
An introduction to abstract mathematics with an emphasis on writing mathematical proofs.
Topics include integers, natural, rational, and irrational numbers, complex numbers
and their properties. Special emphasis will be placed on concepts involving sets,
cardinality, functions and their properties. Proof techniques include direct proof,
proof by contradiction, proof by contrapositive, and mathematical induction.
Prerequisite: MTH 241.
MTH 345 - Discrete Structures & Objects
3 Credits
A proof-based introduction to the notions of discrete structures and the objects they
encompass. Foundational concepts may include combinatorics, probability, graph theory,
lattices, Boolean algebra, and algebraic structures. Applications introduced may include
coding theory and cryptography.
Prerequisite: MTH 300.
MTH 350 - Linear Algebra
3 Credits
Topics include computational and theoretical aspects of systems of linear equations,
matrix calculations (including inverses and determinants), vector spaces, linear transformations,
concepts of discrete mathematics (including graph theory and linear programming),
and applications.
Prerequisite: MTH 241.
MTH 352 - Mathematics Teaching Methods
3 Credits
This course focuses on the theories, methods, techniques, strategies, materials, technology,
and assessment procedures applicable to the teaching of mathematics in grades 7 -
12. Students will apply knowledge of major mathematics concepts, algorithms, procedures,
connections, and applications within and among mathematical content domains in order
to plan effective lessons and units which implement both state and national standards
for mathematics, and include the selection, implementation, and interpretation of
formative and summative assessments to monitor student learning and inform instruction.
The course will emphasize pertinent literature and classroom implementation of current
developments in mathematics curriculum and methodology, utilizing print and digital
resources from professional mathematics education organizations. Students will apply
mathematical content and pedagogical knowledge to select and determine the appropriate
use of instructional tools such as manipulatives and physical models, virtual environments,
spreadsheets, presentation tools, and mathematics-specific technologies (e.g., graphing
tools, interactive geometry software, computer algebra systems, and statistical packages).
Includes a minimum of 30 hours of field experience under the direction of a highly
qualified mathematics teacher and a university supervisor.
May be a co-requisite with EDU 410. See EDU 410 course description for details.
MTH 450 - Abstract Algebra
3 Credits
An introduction to the fundamental notions of modern algebra and their applications.
Topics include groups, rings, fields, and morphisms.
Prerequisite: MTH 440 or 460.
MTH 460 - Geometry
3 Credits
Topics include review of Euclidean Geometry and development of Hyperbolic geometry.
Special emphasis is placed on the underlying axiomatic systems and their historical
development. Analytic geometry, transformations, and some classic theorems of Euclidean
geometry will be discussed. Students are expected to utilize mathematical software.
Prerequisite: MTH 300.
MTH 479 - Capstone Seminar
3 Credits
This seminar will offer a capstone experience in the student’s own discipline within
mathematics and computer information systems, as well as a capstone experience in
the core curriculum. As a culminating experience in the discipline, this course will
require each student to engage in a discipline-specific project under the supervision
of a faculty member within the student’s own discipline. In addition, students will
be asked to ponder and discuss topics relevant to all scientific endeavors. Such topics
include, but are not limited to, nature of proof and research ethics.
As a capstone for the core curriculum, this seminar will provide a setting for students
to read and discuss texts which raise questions related to human nature, common good,
justice, ethics, scientific expertise, and search for knowledge in the contexts of
scientific research and technological development. Interdisciplinary communication
will be emphasized throughout the course.
Prerequisite: Completion of junior core seminar. This course does not fulfill the
mathematics general distribution requirement.
PHY 219 - General Physics I
4 Credits
A calculus-aided study of mechanics: translational and rotational motion, the laws
of conservation of energy and momentum, hydrostatics and hydrodynamics, and basic
thermodynamics; includes laboratory.
Prerequisite: MTH 240 or equivalent.
PHY 220 - General Physics II
4 Credits
A calculus-aided study of electricity and magnetism, optics, introductory modern physics,
and simple harmonic waves; includes laboratory.
Co-requisite: MTH 241.