Courses - MTED Graduate Level
500. Advanced Perspectives of Concepts Foundational to Algebra for Teachers (3)
Prerequisite: Multiple Subjects Credential, or consent of instructor.
Analytic investigation of foundational algebra concepts using representations, reasoning and proof, and problem solving. Topics include: number theory, properties of real numbers, proportional reasoning, algebra, discrete mathematics, and functions.
This course will not count toward any M.S. degree options in the Department of Mathematics and Statistics. Letter grade only (A-F). (Lecture 3 hrs).
511. Mathematics Teaching and Learning (3)
Prerequisite: Consent of instructor.
Theories of mathematics teaching and learning. Key issues in mathematics and mathematics education. Historical development and contemporary views of various theoretical perspectives for teaching and learning mathematics, including the roles of standards and various mathematics and education organizations.
Letter grade only (A-F). (Lecture and Discussion, 3 hrs.)
512. Curriculum and Assessment in Mathematics (3)
Prerequisite: MTED 511 or consent of instructor.
Theories of mathematics curriculum and forms of assessment. Introduces major philosophies, issues, resources, and technologies pertaining to curricula and assessment of mathematics. Relevant histories and contemporary practices of design and implementation of curriculum and assessment of mathematics.
Letter grade only (A-F). (Lecture and Discussion, 3 hrs.)
540. Algebra in the School Curriculum (3)
Prerequisite: MTED 511; prerequisite or corequisite: MTED 512 or consent of instructor.
Issues/topics concerning algebraic learning using curricular standards. Examining texts, curricula, algebraic thinking, and teaching research. Common errors and possible remedies, algebra for mathematizing situations. Relationship of K-12 algebra curriculum to modern algebra and its structures. Fundamental theorem of algebra.
Letter grade only (A-F). (Lecture and Discussion, 3 hrs.)
550. Geometry and Measurement in the School Curriculum (3)
Prerequisite: MTED 511; prerequisite or corequisite: MTED 512 or consent of instructor.
Content, curriculum, standards, and research in learning and teaching geometry, spatial sense and measurement in K-12. Justification and proof, applications and abstraction, tools and technology in geometry teaching and learning. Current issues in teaching and learning of geometry and measurement.
Letter grade only (A-F). (Lecture and Discussion, 3 hrs.)
560. Analysis in the Secondary Curriculum (3)
Prerequisites: MTED 511 and MATH 361A; prerequisite or corequisite: MTED 512 or consent of instructor.
Fundamental concepts of calculus, functions, mappings, related topics and proofs in real and complex analysis, relating mathematics analysis to secondary curriculum. Issues and techniques in teaching and learning of mathematical analysis. Examination of mathematics education research and mathematics frameworks.
Letter grade only (A-F). (Lecture and Discussion, 3 hrs.)
580. Probability and Statistics in the School
Curriculum (3)
Prerequisite: MTED 511; prerequisite or corequisite: MTED 512 or consent of instructor.
Content, curriculum, and research in learning and teaching probability and statistics in K-12 schools. Includes role of applications, abstraction, tools and technology in probability and statistics teaching and learning.
Letter grade only (A-F). (Lecture and Discussion, 3 hrs.)
590. Special Topics in Mathematics Education (1-3)
Prerequisite: Consent of instructor.
Advanced study of special topics in the field of mathematics education.
May be repeated for a total of six units with different topics. Letter grade only (A-F). (Seminar 1-3 hrs.)
697. Directed Studies in Mathematics Education (1-6)
Prerequisites: MTED 511, MTED 512; EDP 520; Advancement to Candidacy; consent of instructor.
Research project in mathematics education.
Letter grade only (A-F).
698. Thesis in Mathematics Education (1-6)
Prerequisites: MTED 511, MTED 512; EDP 520; Advancement to Candidacy; consent of instructor.
Research in mathematics education culminating in a formal report.
Letter grade only (A-F).
