# Curriculum & Instruction

#### CURRICULUM & INSTRUCTION

Office of Student Services
3100 Gillham Hall, MS 914
Toledo, OH 43606
419-530-2495
419-530-2906
JHCOE-StuSvcs@UToledo.edu

Department of Curriculum and Instruction
2000 Gillham Hall, MS 924
Toledo, OH 43606
419-530-5371
CI@UToledo.edu

# College Credit Plus Course Descriptions

#### Master of Arts and Education in Mathematics

CI 6830 Curriculum Issues and Trends (3 hrs.)
Designed for educators, this course guides students in exploring core ideas to develop a framework for the study of teaching. Students investigate issues of what and how to teach in the content areas as well as explore the knowledge of expert content teachers. As a core graduate course in curriculum and instruction, students analyze and integrate ideas to form a theoretical framework and are guided in developing professional written work grounded in the literature. Topics include: Educative experiences, learning progressions, ambitious teaching, e-learning environments, and pedagogical content knowledge.

MATH 5820 Introduction to Real Analysis I (3 hrs.)
A rigorous treatment of the Calculus in one and several variables. Topics to include: the real number system; sequences and series; elementary metric space theory including compactness, connectedness and completeness; the Riemann Integral.

MATH 5680 Introduction to Theory of Probability (3 hrs.)
Probability spaces, random variables, probability distributions, moments and moment generating functions, limit theorems, transformations and sampling distributions.

TSOC 5300 Philosophy and Education (3 hrs.)
Exploring the nature of philosophic inquiry in education and examining competing traditions in the West, particularly in the United States. A distinction between education and schooling will be drawn.

MATH 5300 Linear Algebra I (3 hrs.)
Theory of vector spaces and linear transformations, including such topics as matrices, determinants, inner products, eigenvalues and eigenvectors, and rational and Jordan canonical forms.

MATH 5600 Applications of Statistics I (3 hrs.)
Basics of descriptive statistics, study designs and statistical inference. Properties of, and assumptions required for, inference for means, variances, and proportions from one and two-sample paired and unpaired studies. Introduction to ANOVA with multiple comparisons and multiple regression. Model assessment and diagnostics. Statistical software will be employed. Opportunities to apply procedures to real data. Emphasis placed on the foundations to approaches in introductory statistics.

EDP 5310 Issues and Innovations in Learning and Instruction (3 hrs.)
Reviews emergent theory, principles and research findings on cognition and learning and applies these concepts to developing instructional experiences and conditions for optimizing classroom learning and performance.

MATH 5830 Introduction to Real Analysis II (3 hrs.)
Differentiable functions on Rn; the Implicit and Inverse Function Theorems; sequences and series of continuous functions; Stone-Weierstrass Theorem; Arsela-Ascoli Theorem; introduction to measure theory; Lebesgue integration; the Lebesgue Dominated Convergence Theorem.

CI 6900 Master’s Research Seminar (3 hrs.)
Graduate seminar designed as a culminating experience in the master's programs in Curriculum and Instruction.  Participants critically examine the research and scholarhip in their specific field of interest.  Emphasis is placed on professional academic collaboration, peer review, constructive criticism. The final product of this seminar is an academic manuscript of publishable quality that contributes to the academic discourse in a particular body of scholarship.

RESM 5220 Applied Assessment for Improved Practice (3 hrs.)
This is an advanced course in classroom assessment with a focus on informed and applied evidence-based decision making. Key components are the analysis and reporting of results from assessment datasets, the creation of formative and summative assessment action plans based on analysis results, and the incorporation of 21st century technology tools to support assessment planning and instructional decisions.

MATH 5780 Advanced Calculus (3 hrs.)
Extrema for functions of one or more variables, Lagrange multipliers, indeterminate forms, inverse and implicit function theorems, uniform convergences, power series, transformations, Jacobians, multiple integrals.

MATH 5610 Applications of Statistics II (3 hrs.)
Statistical/biostatistical concepts and methods. Broad subject categories that may be included are study design, longitudinal data analysis, survival analysis, logistic regression, random and mixed effects models. Other topics applicable to current statistical consulting projects, or related to modern data analytics, may be introduced. Appropriate statistical software will be employed.

Last Updated: 11/28/17