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800:222: Issues and Problems in Teaching Mathematics in the Middle Grades
2.00 Credits
University of Northern Iowa
Issues and problems related to current reform in mathematics, including planning curriculum, assessing student learning, managing instruction, and providing for individual needs. Examination of related literature. Prerequisite(s): 800:220. (Variable)
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800:222 - Issues and Problems in Teaching Mathematics in the Middle Grades
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800:236: Mathematics for the Middle Grades Teachers I
3.00 Credits
University of Northern Iowa
Integrated, historical, and cultural study of development and structure of quantity, data, and chance. Focus on mathematical ways of knowing and verification. (Variable)
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800:236 - Mathematics for the Middle Grades Teachers I
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800:237: Technology in Middle Grades Mathematics
2.00 Credits
University of Northern Iowa
Uses of technology in teaching and learning mathematics. Examination of research related to incorporating technology in the teaching of mathematics. (Variable)
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800:237 - Technology in Middle Grades Mathematics
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800:238: Mathematics for the Middle Grades Teacher II
3.00 Credits
University of Northern Iowa
Integrated, historical, and cultural study of development and structure of patterns, functions, relationships, and shapes. Focus on ways of knowing and verification. Prerequisite(s): 800:236. (Variable)
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800:238 - Mathematics for the Middle Grades Teacher II
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800:240: Abstract Algebra I
3.00 Credits
University of Northern Iowa
Groups: quotient groups, isomorphism theorems, products of groups, group actions, Sylow theorems, solvable and nilpotent groups. Rings and fields: quotient rings, rings of polynomials, integral domains, fields of fractions. Prerequisite(s): 800:162 or consent of instructor. (Offered Fall)
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800:240 - Abstract Algebra I
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800:241: Abstract Algebra II
3.00 Credits
University of Northern Iowa
Rings: arithmetic properties, prime and maximal ideals, Noetherian rings. Modules and vector spaces: linear transformations, free modules, finitely generated modules over PIDs, canonical forms. Fields: field extensions, Galois theory, solvability by radicals. Prerequisite(s): 800:240 ( Formerly 800:245) ( Offered Spring)
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800:241 - Abstract Algebra II
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800:243: Topics in Discrete Mathematics
3.00 Credits
University of Northern Iowa
Topics from combinatorics, graph theory, analysis and application of algorithms, recurrence relations, difference equations, linear programming, and mathematical induction. Applications of these topics in the secondary curriculum. Prerequisite(s): 800:143 or 800:160. (Variable)
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800:243 - Topics in Discrete Mathematics
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800:246: Topics in the History of Mathematics
3.00 Credits
University of Northern Iowa
Topics from history of algebra, analysis, arithmetic, geometry, number theory, probability, and topology as they appear in the development of Mesopotamian, Greek, Islamic, Indian, Chinese, and Western civilizations. May be repeated on different topic with consent of instructor. Prerequisite(s): 800:180 or 800:185. (Variable)
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800:246 - Topics in the History of Mathematics
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800:263: Topics in Mathematical Logic and Set Theory
3.00 Credits
University of Northern Iowa
Topics from the predicate calculus and first-order mathematical theories; the Godel completeness and incompleteness theorems; algebraic and many-valued logic; Boolean algebras, lattices, representation theorems, and models in set theory and mathematical logic; independence of the axioms of set theory (including the axiom of choice and the continuum hypothesis). May be repeated on different topic with consent of instructor. Prerequisite(s): 800:169 or 800:182, depending on the topic. (Variable)
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800:263 - Topics in Mathematical Logic and Set Theory
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800:266: Topics in Geometry
3.00 Credits
University of Northern Iowa
Topics from Euclidean and non-Euclidean geometry: convexity, polyhedra and polytopes, model-making, curves and surfaces, paper-folding, symmetry, history, circle inversion, and other topics at the discretion of the instructor. Prerequisite(s): consent of instructor. (Variable)
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800:266 - Topics in Geometry
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