MAED - Mathematics Education

Prerequisite: Permission of the instructor. Topics may include research in instructional strategies, classroom management, assessment techniques, lesson planning, multicultural and gender issues, and beliefs and student learning in mathematics education.

Part one of numbers and operations, algebra, functions and graphs, geometry, measurement, probability, statistics, and discrete mathematics concept development. Strategies of problem solving will be used and discussed in the context of various topics.

Part two of numbers and operations, algebra, functions and graphs, geometry, measurement, probability, statistics, and discrete mathematics concept development. Strategies of problem solving will be used and discussed in the context of various topics.

Prerequisite: Permission of the instructor. Topics include pre-algebra concepts, linear and quadratic equations, inequalities, applications of algebra to real-life situations.

Prerequisite: Permission of the instructor. Topics include an intuitive development of non-metric geometry concepts, symmetry, motions in geometry, similarity and congruence. Intuitive development of real number measurements in perimeter, area and volume.

Prerequisite: Permission of the instructor. This course is designed to acquaint the student with the theory of probability and apply this to statistical theory. Topics include descriptive statistics, random variables, probability distributions, sampling distributions, confidence interval estimation, hypothesis testing, simple linear regression and correlation.

Prerequisite: Permission of the instructor. Topics include graph theory, linear programming, game theory, and related topics as well as applications.

Prerequisite: Approval of the instructor. Selected readings of books and articles in the mathematics education literature.

Prerequisite: Approval of the instructor. Selected topics in mathematics education not available in other departmental courses.

This course is required for all Early Childhood Teachers who seek the K-5 Mathematics Endorsement. In addition, this course may satisfy requirements for students in the MAT and EDS programs. It is designed to expose teachers to a variety of problem solving strategies to foster their in-depth understanding of numbers and operations, cross-disciplinary thinking, number sense, knowledge on how children develop number sense, and ability to communicate appropriately. This course begins with pre-number concepts and moves through place value and multiplicative relationships, providing candidates with a strong foundation of the base 10 system, conceptual understanding of many commonly used mathematical algorithms, an analysis of students' invented strategies, and a conceptual understanding of fractions and operations with fractions. Application of their mathematical understanding will be assessed within the context of authentic residency.

This course is required for all Early Childhood Teachers who seek the K-5 Mathematics Endorsement. In addition, this course may satisfy requirements for students in the MAT and EDS programs. This course will concentrate on solving problems related to the study of algebra, data analysis, and probability. Students will engage in systematically collecting, organizing, describing, and analyzing data using surveys, tables, charts, and graphs; making valid inferences, decisions, and arguments based on data; and using counting techniques, experimental probability, or theoretical probability as appropriate to represent and solve problems involving uncertainty. In addition, generalizations from arithmetic and from patterns in all of mathematics, meaningful use of symbols, structure in the number system, functions, mathematical modeling, and topics in number theory will be explored and developed through algebraic reasoning.

Prerequisite: Permission of Instructor. This course is designed for students who teach at the elementary school level. This focuses on an intuitive development of geometric ideas including point set Euclidean geometry, measurement, and transformational geometry. A student may not receive credit for both MAED 5510 and MAED 6040.