Math Education Course Descriptions
MTH 200 Statistical Methods I
This course is an introduction to descriptive statistics, including graphs, sampling distributions, measures of central tendency, probability theory, hypothesis testing through nonparametric tests, confidence intervals, correlation and regression. Statistical applications, hypothesis testing and the use of statistical software for graphing are emphasized. Prerequisite: MTH 125 or consent of instructor.
MTH 210 Calculus I
This course is an introduction to differential and integral calculus. Students will learn to calculate the rates of change of functions including trigonometric, exponential and logarithmic functions and how to solve initial value and optimization problems. Students will learn the Fundamental Theorem of Calculus and integration techniques. Prerequisite: MTH 135 or math placement.
MTH 225 Advanced Calculus for Scientists
A second course in calculus including concepts such as: L’Hopital’s Rule, applications of integration (volumes, center of mass, calculating work), improper integrals, Taylor Polynomials, solving first order ordinary differential equations, matrices and partial derivatives. Prerequisite: MTH 210.
MTH 250 Discrete Mathematics
This course introduces discrete methods of mathematical problem solving. Topics include set theory, sequences and mathematical induction, combinatorics, probability and graph theory. Prerequisite: MTH 210.
MTH 260 Introduction to Computer Programming
This course provides an introduction to a high-level computer language. Emphasis will be on learning the styles, techniques and methodologies necessary to design and develop readable and efficient programs. The course will also include statistical, business and biological programming applications. Prerequisites: MTH 125 or consent of instructor.
MTH 305 Multivariable Calculus
This first course in multivariate calculus includes vector functions and their derivatives, plane curves, parameterizations, surfaces, partial derivatives multiple integrals and multivariable optimization problems. Green’s Theorem, Divergence Theorem and Stokes’ Theorem will also be covered. Prerequisite: MTH 225.
MTH 315 Linear Algebra/Differential Eqns
This course will cover a more thorough introduction of linear algebra and ordinary differential equations. In the field of linear algebra, the course will cover matrix theory, matrix inverses, vector spaces and subspaces, eigenvalues, eigenvectors and linear transformations. In the field of differential equations, the course will cover second order linear equations with constant coefficients, method of undetermined coefficients, reduction of order, simple harmonic motion, Laplace transformations and systems of differential equations. Prerequisites: MTH 225
MTH 306 Foundations of Analysis
This is a first course in elementary real analysis, covering the theory of sequences and series, basic concepts such as the definitions of limits and continuity, the Mean Value Theorem and topics in introductory complex analysis. Prerequisite: MTH 210.
MTH 325 Introduction to Probability Theory
This course is an introduction to probability, including basic combinatorics and set theory, independence, conditional probability, random variables, specific discrete and continuous probability distributions, jointly distributed random variables, expectation, moments and moment generating functions, and various limit theorems. Prerequisite: MTH 210 or consent of instructor.
MTH 330 Modern Algebra
This course is an introduction to algebraic systems, including groups, rings and integral domains. Prerequisite: MTH 250 or MTH 315 or consent of instructor.
MTH 340 Modern Geometry
This axiomatic study of various geometries includes Euclidean geometry and hyperbolic geometry. Students will also study historical and philosophical implications of the development of non-Euclidean geometries. Prerequisite: MTH 210 or consent of instructor.
MTH 360 Secondary Mathematics Teaching Meth
This course covers the methods of teaching secondary and middle level mathematics education. An emphasis will be placed on methods unique to teaching mathematics, along with technologies to use in the mathematics classroom. Prerequisites: EDU201, Pre or Co-requisite: EDU356; junior standing or permission of instructor.
EDU 201 Foundations of Education
This course is an investigation of contemporary education in America and assists candidates in determining their career path, with a special emphasis on the tools and skills necessary to become an effective teacher. Observation experience in a school setting is required. This course is required for all education majors and is taken as the first in the sequence of education courses. EDU 201 is a prerequisite for all other education courses.
EDU 220 Technology for Teachers
This course provides a foundation for integrating technology into the classroom. A primary goal is the development of a mindset intent on exploring, identifying, engaging and applying current, emerging and future technologies in the teaching/learning process. Students enrolled in the course will consider the appropriate relationship of technology to standards and ethical issues. They will design and present technology-enhanced lessons and become skilled, confident users of digital and electronic resources.
EDU 310 Human Relations/Multiculturalism
This course provides candidates with knowledge in the areas of multiculturalism and human relations. Teacher candidates will understand the impact of a changing society on education and human relations. This course provides an understanding of cultural backgrounds and the influences of dehumanizing biases such as racism, sexism and classism and how they affect the lives of students in schools. A field experience is required for this course so there will be related expenses.
EDU 311 Educational Psychology
This course will examine theories of learning and how they may be applied to the classroom. It will include the study of cognitive development, motivation and learning, how knowledge is constructed, constructivism, individual differences in learning, and learning environments. Prerequisites: EDU 201. Non-education majors must have consent of the instructor.
EDU 335 American Indian Education
This course is designed for prospective and experienced teachers. Candidates will learn about the rich American Indian culture in South Dakota and its impact on the education of American Indian students. The study includes an examination of skills necessary for the effective teaching of American Indian children. The course is designed to meet the South Dakota certification requirement in American Indian studies and is required of all teacher education candidates. Out-of-town travel and additional related expenses are required for this class. Prerequisite: EDU 201. Non-education majors must have consent of the instructor.
EDU 412 Adolescent Learners’ Needs
This course will help prepare candidates to teach at the middle grade level. The course will develop an understanding of the middle school concept and the instructional strategies that support that concept. Field experience at the middle level will be required. Prerequisite: EDU 201.
EDU 424 Literacy Methods in Content Area
This course provides teacher candidates with a balance of theory and application regarding the skills needed to teach reading and writing in the content areas. Candidates will investigate, develop and apply strategies using a variety of scientifically researched reading, writing, listening and speaking methods to meet the literacy needs of all students. For elementary education majors, this course is part of the spring block experience. Courses include EDU 424, EDU 444 and EDU 465. Prerequisite: EDU 201. Corequisites for elementary education majors: EDU 444 and EDU 465. Corequisites for secondary education majors: EDU 465 or approval of education department chair
EDU 435 Curriculum Standards & Assessment
This course supports an educator’s ability to design and implement assessment practices that promote student learning by first improving instruction and then gauging its success. Emphasis is placed on constructing reliable and valid assessments; connecting classroom assessment to local, state and national standards, providing effective feedback and grading and understanding individual, classroom and cultural differences that impact assessment. Students will incorporate various assessment procedures in standards-based lessons they plan and teach during the course field experience. Prerequisites: EDU 201 Corequisites for elementary education majors: EDU 442 and EDU 443.
EDU 456 Secondary and Middle Level Methods
This course covers the methods of teaching secondary and middle level education and considers all the aspects and responsibilities that come with the job, including the decision-making process, establishing a classroom climate conducive to learning, motivating students, classroom management, linking curriculum and instruction, planning the instruction, instructional techniques and methods for promoting learning. A constructivist approach to teaching and learning is emphasized. A field experience is required. Prerequisite: EDU 201. Corequisites: EDU 435 or approval of the chair of the education department.
EDU 465 Classroom Management for the K-12
This course will involve the study of strategies for creating successful K–12 learning communities, planning for the school year, developing positive relationships with the students, working with families, establishing classroom procedures and rules, maintaining appropriate behavior, preventing, managing and responding to inappropriate behaviors, motivating students to learn and responding to inappropriate behaviors. Different practices of classroom management will be explored. School law, professional practice, and teacher ethics will also be covered. This course requires a field experience. This course is part of the spring practicum experience for elementary education majors. Courses include in the spring practicum for elementary education majors are: EDU 424, EDU 444 and EDU 465. Secondary education majors are strongly advised to take this course at the same time as EDU 424. Prerequisite: EDU 201. Corequisites for elementary education majors: EDU 424 and EDU 444. Corequisites for secondary education majors: EDU 424 or approval of department chair.
EDU 474 7-12 Student Teaching
Candidates are assigned to a school district and supervised by a certified teacher at the middle school/junior high level and/or at the secondary level for 70 days (14 full weeks). During this period, they will fulfill obligations and responsibilities similar to those of the cooperating teacher. This course is part of the professional semester and is taken with a two-credit seminar, which is part of the 16 hours for degree candidates. Candidates also meet during the professional semester for seminar requirements. This course is offered Credit/No Credit only. The DWU Student Teacher Handbook and seminar syllabus serve as the course syllabus. Prerequisites: Completion of all coursework required for graduation, 2.6 GPA, admission from the education department faculty and secondary discipline faculty, submission of passing scores on the required Praxis tests and approval for student teaching placement. Corequisite: EDU 475.
EDU 475 Seminar
Candidates are required to take this seminar during their student teaching experience. Candidates will research the following topics during this seminar: classroom climate, instructional pedagogy, assessment, resume writing and interviewing skills. Candidates are required to complete their electronic portfolio and an action research project during the seminar. Attendance is required in order to successfully complete the student teaching experience. Corequisite: EDU 470, EDU 472, EDU 474, or SPD 470.
PSY 237 Developmental Psychology
This course is a sequential study of the individual from conception to death. Students will study research regarding human physical, cognitive and social-emotional development, along with implications for parents, teachers and counselors.
SPD 206 Introduction to Exceptional Students
This course defines and examines the nature and needs of exceptional learners, including those with documented disabilities as well as giftedness and those with multicultural heritages. Special education foundations and legal mandates will be discussed. Appropriate accommodations and teaching methods designed to meet the needs of the range of students included in a typical classroom will be examined. The role of teachers, parents and other relevant personnel will be investigated in relation to programming for struggling learners. Students will research a specific educational challenge and complete observation hours in a school setting. Prerequisite: EDU 201 or Corequisite EDU 201 or instructor permission.
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