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Course Criteria
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3.00 Credits
Add+VantageMRr (AVMR): Math Recoveryr Strategies for Elementary Classrooms 1 includes dynamic, diagnostic, individual assessments in number words and numerals, structuring numbers, and addition and subtraction strategies. The assessment, data collecting, and teaching tools accelerate the educator's ability to recognize the students' current levels of numeracy understanding to make data-driven instructional decisions. Specific assessments & strategies for students receiving special education services will be taught and co-teaching between the general education and special education teachers will be modeled.
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3.00 Credits
This course is an exploration of Combinatorics using enumerative and algebraic techniques. Topics include, but are not limited to: permutations, sets and subsets, multisets, the twelve-fold way, generating functions, recurrence relations, the principle of inclusion and exclusion, applications of group theory to counting, combinatorial designs, and error correcting codes.
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3.00 Credits
This course is a comprehensive exploration of variation and proportion and its applications to the world around us. Students will begin by establishing strong skills in solving problems involving proportions. They will then develop the ability to view the worlds of science and engineering through the lens of proportions and variations and establish connections between different branches of mathematics. Finally, students will use their skills to develop methods to enhance understanding of the mathematical relationships that lead to variation, ratio, and proportion.
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2.00 Credits
Programming in R, technical writing using LaTeX, simulations of experiments using a variety of instructional technology, examination of formative assessment tools, and research instructional principles related to the use of computers and technology resources.
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3.00 Credits
This course is an exploration of the beginnings of topology. The majority of the course will focus on point-set topology and the very end will discuss some topics of Algebraic topology. We will discuss topologies, bases, separation axioms, separable spaces, second countable spaces, compactness, functions and continuity, quotient spaces, connected spaces, metric spaces, and the classification of two-manifolds.
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3.00 Credits
This is a graduate topical course in mathematics that may be repeated when topics changes.
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1.00 Credits
Mathematics Continuing Education Workshop
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3.00 Credits
This course is designed to examine mathematics teaching methods at the college level. Students will distinguish different expectations between high school mathematics courses and college level mathematics courses. Current research on mathematical mindsets will be investigated on how they can be applied to college level course work.
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3.00 Credits
This course focuses on mastering effective strategies for solving a wide array of mathematical problems. The course will present a framework for mathematical problem solving that includes training in a variety of problem solving heuristics, learning metacognition and self-monitoring skills, and developing a sound mathematical epistemology that supports effective problem solving. Class participants will be expected to complete problem sets that allow them to learn and practice effective mathematical problem solving in the context of actually solving problems over time periods ranging from a few days to one (or more) weeks.
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4.00 Credits
This course offers a wide range of probability and statistical concepts, concentrating on specific statistical techniques used in science and industry. It provides students with practical ability to choose, generate, analyze, and interpret appropriately, descriptive and inferential statistics. There is an extensive breadth of coverage ranging from elementary methods to such advanced methods as multiple regression and nonparametric analysis. Topics include: Measures of location and variability, probability theory, random variables, common families of distributions, point and interval estimations, hypothesis testing, confidence intervals, chi-square tests, nonparametric statistics, analysis of variance, regression, and correlation.
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