Math for Elementary Teachers
MATH 810T
3
The integers. The Euclidean algorithm, the Fundamental Theorem of Arithmetics, and the integers mod n. Polynomials with coefficients in a field. The division algorithm, the Euclidean algorithm, the unique factorization theorem, and its applications. Polynomials whose coefficients are rational, real or complex. Polynomial interpolation. The habits of mind of a mathematical thinker. The conceptual underpinnings of school algebra.
Functions for High School Teachers (pre-calculus...
MATH 811T
3
Functions for High School Teachers (pre-calculus content)
Course examines mathematics underlying pre-calculus material through problem solving. Connections to other topics in mathematics, including algebra, geometry and advanced mathematics are highlighted.
Geometry for Geometry Teachers
MATH 812T
3
Course examines mathematics underlying high school geometry through problem solving. Topics include Spherical, Euclidean and Hyperbolic geometry, introduction to Neutral geometry, Platonic and Archimedean solids and projective geometry.
Capstone Course - Mathematics for Teachers I
MATH 807
3
Analysis of the connections between college mathematics and high school algebra and precalculus.
Capstone Course - Mathematics for Teachers II
MATH 808
3
Analysis of the connections between college mathematics and high school algebra and geometry.
Mathematical Modeling for High School Teachers
MATH 809
3
This course is designed around a series of projects in which students create mathematical models to examine the mathematics underlying several socially-relevant questions. Not open to MA or MS students in Mathematics. This course is for students seeking a mathematics major under the Education Option and for students in CEHS who are seeking their secondary mathematics teaching certificate.
Experimentation, Conjecture & Reasoning
MATH 804T
3
Problem solving, reasoning and proof, and communicating mathematics. Development of problem solving skills through the extensive resources of the American Mathematics Competitions. Concepts of logical reasoning in the context of geometry, number patterns, probability and statistics.
Discrete Math for Secondary Teachers
MATH 805T
3
Concepts of discrete mathematics, as opposed to continuous mathematics, which extend in directions beyond, but related to, topics covered in middle-level curricula. Problems which build upon middle-level mathematics experiences. Logic, mathematical reasoning, induction, recursion, combinatorics, matrices, and graph theory.
Number Theory & Cryptography for Secondary...
MATH 806T
3
Number Theory & Cryptography for Secondary Teachers
Basic number theory results and the RSA cryptography algorithm. Primes, properties of congruences, divisibility tests, linear Diophantine equations, linear congruences, the Chinese Remainder Theorem, Wilson’s Theorem, Fermat’s Little Theorem, Euler’s Theorem, and Euler’s phi-function. Mathematical reasoning and integers’ connections to the middle school curriculum.
Cognition and Motivation
EDPS 991
3
This course is designed to provide mathematics and science teachers with a framework for thinking about how human cognition, motivation and self-regulation influence students and instructional practices. More specifically, this course emphasizes core concepts in educational psychology.
Experimentation, Conjecture & Reasoning
MATH 804T
3
Problem solving, reasoning and proof, and communicating mathematics. Development of problem solving skills through the extensive resources of the American Mathematics Competitions. Concepts of logical reasoning in the context of geometry, number patterns, probability and statistics.
Discrete Math for Secondary Teachers
MATH 805T
3
Concepts of discrete mathematics, as opposed to continuous mathematics, which extend in directions beyond, but related to, topics covered in middle-level curricula. Problems which build upon middle-level mathematics experiences. Logic, mathematical reasoning, induction, recursion, combinatorics, matrices, and graph theory.
Number Theory & Cryptography for Secondary...
MATH 806T
3
Number Theory & Cryptography for Secondary Teachers
Basic number theory results and the RSA cryptography algorithm. Primes, properties of congruences, divisibility tests, linear Diophantine equations, linear congruences, the Chinese Remainder Theorem, Wilson’s Theorem, Fermat’s Little Theorem, Euler’s Theorem, and Euler’s phi-function. Mathematical reasoning and integers’ connections to the middle school curriculum.
Using Math to Understand Our World
MATH 807T
3
The mathematics underlying several socially-relevant questions from a variety of academic disciplines. Construct mathematical models of the problems and study them using concepts developed from algebra, linear and exponential functions, statistics and probability. Original documentation, such as government data, reports and research papers, in order to provide a sense of the role mathematics plays in society, both past and present.
Concepts of Calculus
MATH 808T
3
The processes of differentiation and integration, their applications and the relationship between the two processes. Rates of change, slopes of tangent lines, limits, derivatives, extrema, derivatives of products and quotients, anti-derivatives, areas, integrals, and the Fundamental Theorem of Calculus. Connections to concepts in the middle level curriculum.
Capstone Course - Mathematics for Teachers I
MATH 807
3
Analysis of the connections between college mathematics and high school algebra and precalculus.
Capstone Course - Mathematics for Teachers II
MATH 808
3
Analysis of the connections between college mathematics and high school algebra and geometry.
Mathematical Modeling for High School Teachers
MATH 809
3
This course is designed around a series of projects in which students create mathematical models to examine the mathematics underlying several socially-relevant questions. Not open to MA or MS students in Mathematics. This course is for students seeking a mathematics major under the Education Option and for students in CEHS who are seeking their secondary mathematics teaching certificate.
Statistics for High School Teachers
STAT 812T
3
Develops and equips high school teachers with the statistical knowledge they need for teaching. Statistics is a key component in the secondary mathematics curriculum, and statistics is included in the Common Core State Standards for Mathematics, the National Council of Teachers of Mathematics (NCTM) Standards, as well as the Nebraska State Standards. This course seeks to develop a deeper understanding of the statistical concepts that high school teachers will be expected to convey to their students. The course will also prepare secondary teachers to teach AP Statistics.
Prerequisite: A valid secondary mathematics teacher certificate or permission. Not open to MA or MS students in mathematics or statistics.
Inquiry into Teaching and Learning
TEAC 800
3
Contemporary educational research from multiple theoretical perspectives (available online every fall): One of two introductory survey courses providing the necessary groundwork for further graduate study at the master level. This course has two aims: 1) To become more familiar with basic principles of contemporary educational research which will enable participants to become better consumers of that research, and 2) To begin to understand what this research suggests about educational practice, teaching, and teachers.
Curriculum Inquiry
TEAC 801
3
The relationship between curriculum theory and/or research to educational practices.
Integrating Geometry Teaching & Learning
TEAC 892
1-3
Aspects of education not covered elsewhere in the curriculum.
Integrating Mathematics Teaching & Learning...
TEAC 892
1-3
Integrating Mathematics Teaching & Learning (pre-calculus content)
Aspects of education not covered elsewhere in the curriculum.
Teacher Learning about Reasoning &...
TEAC 892
1-3
Teacher Learning about Reasoning & Sensemaking in Secondary Classrooms
Aspects of education not covered elsewhere in the curriculum.
Teaching High School Statistics
TEAC 892
1-3
Aspects of education not covered elsewhere in the curriculum.
Trends and Issues in Mathematics Teaching &...
TEAC 949A
1-3
Trends and Issues in Mathematics Teaching & Learning
Critical analysis of literature and research on teaching, learning, and schooling.