Department of Mathematics
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# MTT Courses

The Mathematics Department offers a sequence of MTT (Mathematics for Teachers) courses to bring teacher preparation programs at UMass Boston into compliance with the Guidelines for the Mathematical Preparation of Elementary Teachers released by the Massachusetts Department of Elementary and Secondary Education in July 2007.

Course Number and Title Credits Description Prerequisites Sample Materials
MTT 301
Math for Elementary Teachers I: Reasoning About Numbers and Quantities
3 This is one of two mathematics courses proposed for prospective elementary school teachers. The course provides elements of the mathematical content knowledge and pedagogical content knowledge needed to understand and teach mathematics in elementary school. For each mathematical topic the course provides multiple representations and multiple tools for understanding, communication and making connections within the mathematical content and among various ways of learning it. Relevant real life situations will be used to anchor the mathematical concepts and skills. The mathematical content of the course includes a historical perspective on numeration, the fundamental operations on the set of Whole Numbers, extending the Number System to Integers, Rational and Real numbers, addressing conventional and alternative ways of computing, exploring the complexities in understanding Ratios, Proportions and rates, son Number Theoretic concepts such as Primes, Composites, Factors, Divisibility and related computations. Math placement test A. Sample Materials
MTT 302
Math for Elementary Teachers II: Reasoning About Algebra, Geometry and Measurement
3 This is one of two mathematics course proposed for prospective elementary school teachers. The course provides elements of the mathematical content knowledge and pedagogical content knowledge needed to understand and teach mathematics in elementary school. For each mathematical topic the course provides multiple representations and multiple tools for understanding, communication and making connections within the mathematical content and among various ways of learning it. Relevant real life situations will be used to anchor the mathematical concepts and skills. The mathematical content of the course includes addressing Algebra as a symbolic language, as generalized arithmetic, as a study of structures and as a study of relationships among quantities. Graphing of linear and quadratic functions will anchor the study of change with a focus on the relationships among time, distance and rate. The study of Geometry will include 2 and 3 dimensional shapes and their characteristics, 2-dimensional symmetry, similarity and tessellations as well as rigid transformations. The study of Measurement will include basic concepts of measurement with standard and non standard units and the measurements of angles, lines, area, surface area and volume. The study of measurements will culminate in the development of formulas for the measurement of various 2 and 3 dimensional shapes. Math placement test A. Sample Materials
MTT 570
Foundations of Arithmetic for K-8 Teachers
3 The foundations of Arithmetic for K-8 teachers course for elementary and middle school teachers examines several domains. The main categories of the of the Common core and MA Frameworks will be addressed, including Algebraic Thinking, Number and Operations for both Base 10 and Fractions, Measurement, Geometry, and Probability. In addition, basic Number Theory topics will be examines, such as factors and multiples, and well as divisibility tests, at both practical and abstract levels. The course also examines concepts of proportional reasoning, place value, and elements of arithmetic that teachers need to be aware of when supporting students' conceptual understanding of algebra. This course will provide teachers with a deep, yet flexible understanding of the mathematical structures that form the foundation of K-8 mathematics.
MTT 580
Mathematics for the K-12 Curriculum
3 This course reviews and provides in-depth experiences with the mathematics commonly taught in schools, including emphasis on the interdependence and unity of algebra and geometry concepts that are currently part of the K-12 curriculum. More advanced than 300-level MTT courses, it is aimed at In-service teachers. Sample Materials
MTT 597
Special Topics
1-6 An advanced course offering intensive study of selected topics in this subject area. Department of Mathematics University of Massachusetts Boston Phone: 617-287-6460;   Fax: 617-287-6433 Information: math@umb.edu