Advising Guide Master of Arts in Education in Mathematics Education Elementary Concentration All six courses from the Graduate Certificate in Elementary Mathematics Education (MATE 6058, 6059, 6060, 6061, 6062, and 6063) are used in the MAEd in Mathematics Education (Elementary Concentration). COURSES COURSE TITLE TERM(S) OFFERED TERM TAKEN Core Requirements (15 sh) EDUC 6001 Introduction to Differences in Human Learning in Schools (3) MATE 6062 Geometry and Spatial Visualization: K-5 Assessment (3) MATE 6063 Mathematical Modeling: K–5 Leadership (3) MATE 6211 Research in Mathematics Education (3) MATE 6400 Capstone Project in Mathematics Education (3) Fall, Spring, Summer Fall 2013 Fall 2014 Fall 2014 Fall 2015 Spring 2014 Fall 2015 Spring 2014 Spring 2015 Mathematics for K-6 Teachers (12 sh) MATE 6058 Number Systems and Operations: K-5 Mathematical Tasks (3) Fall 2013 Spring 2014 MATE 6059 Rational Numbers and Operations: K-5 Learning Trajectories (3) Spring 2014 MATE 6060 Data Analysis and Measurement: K-5 Classroom Interactions (3) Summer 1 2013 Spring 2015 MATE 6061 Algebraic Reasoning: K-5 Discourse and Questioning (3) Summer 1 2014 Mathematics for K-12 Teachers (9 sh) MATE 6331 Reasoning with Number and Algebra (3) Spring 2014 Fall 2015 Or MATE 6371 Or Teaching and Learning of Algebra (3) Summer 2 2014 MATE 6341 Teaching and Learning of Geometry (3) Fall 2014 MATE 6351 Data Analysis and Probability in the Middle Grades (3) Fall 2013 Spring 2015 NOTE: Upon completing the MAEd in Mathematics (Elementary Concentration), graduates will add M-level Middle Grades Mathematics license. This requires passing the Middle Grades Mathematics Praxis II Test (0069). The K-12 mathematics courses prepare for this test by providing algebra, geometry, and data analysis content at the middle grades level. Course Catalog Descriptions Education Core Courses EDUC 6001. Introduction to Differences in Human Learning in Schools (3) Examines race, ethnicity, socioeconomic class, gender, sexual preference, and exceptionality relative to historical, philosophical, social, cultural, political, and legal issues in schools. MATE 6062. Geometry and Spatial Visualization: K-5 Assessment (3) P: MATE 6058. Geometric concept development along with formative and summative assessment strategies of students’ geometric thinking; attention also given to geometric content knowledge and diagnosis of student errors. MATE 6063. Mathematical Modeling: K–5 Leadership (3) P: MATE 6058, 6059, 6060, 6061, 6062. Generating mathematical representations and making explicit connections between concepts. Pedagogy designed to equip elementary teachers to become mathematics teacher-leaders in school settings; attention also given to topics integrated within mathematical strands. MATE 6200. Mathematics Assessment for the Classroom Teacher (3) Formerly MATH 6200 P: Consent of instructor. Theory, methods, and techniques of assessment for improving mathematics learning. Requires assessment and intervention project adapted to local classroom setting. MATE 6206. Leadership in Mathematics Education (3) Formerly MATH 6206 P: Admission to MAEd program; consent of instructor. Mathematics content and information necessary for service as leader in public school mathematics education. MATE 6211. Research in Mathematics Education (3) Formerly MATH 6211 Readings, reports, and syntheses of research literature on teaching and learning K-12 mathematics. Projects based on this literature. MATE 6400. Capstone Project in Mathematics Education (3) Research project, portfolio modeled on the National Board Professional Teaching Standards, or equivalent project. K-6 Mathematics Electives MATE 6058. Number Systems and Operations: K-5 Mathematical Tasks (3) P: Teacher licensure. Analysis and construction of effective mathematical tasks in teaching number systems and operations at the K-5 level; attention also given to the expansion of content knowledge. MATE 6059. Rational Numbers and Operations: K-5 Learning Trajectories (3) P: MATE 6058. Focus on rational number concepts through learning trajectories at the K-5 level; attention also given to problem solving and content knowledge. MATE 6060. Data Analysis and Measurement: K-5 Classroom Interactions (3) P: MATE 6058. Focus on statistical literacy of elementary teachers and the teaching of data analysis and measurement to K-5 students; attention also given to learning methods which facilitate appropriate classroom interactions. MATE 6061. Algebraic Reasoning: K-5 Discourse and Questioning (3) P: MATE 6058. Focus on the early algebra concepts of functional thinking and generalized arithmetic in relationship to pedagogical practices centered on questioning in the mathematics classroom. K-12 Mathematics Electives MATE 6331. Reasoning with Number and Algebra (3) Rational numbers, proportional reasoning, and linear relations as tools to explore mathematical relationships in grades 6-8. MATE 6341. Teaching and Learning of Geometry (3) Analysis of middle school student work using the van Hiele model to examine relationships of shape, size, symmetry, and transformations in 2- and 3-dimensional space. MATE 6351. Data Analysis and Probability in the Middle Grades (3) Data analysis, probability concepts, and pedagogical issues for middle grade teachers. MATE 6361. Measurement Across the Curriculum (3) Key issues in teaching and learning measurement as it supports other mathematical strands. MATE 6371. Teaching and Learning of Algebra (3) Current mathematical learning theory and research as it pertains to algebra taught from a problem-solving, student-centered perspective.