This is a listing of the Masters level mathematics courses offered by the department. For information on when one of these courses might be offered, please contact the Department of STEM Education & Teacher Development. .

**MTE 501 Math Methods for Elementary School Teachers **

The use of current techniques and materials in teaching mathematics in grades K-5 using an integrated approach of pedagogy and content. Special attention will be given to new information technologies, reform-based teaching practices and problem-solving and reasoning. General mathematical concepts are aligned with the academic standards of the Massachusetts curriculum frameworks.

**MTE 502 Math Methods for Middle School Teachers **

The use of current techniques and materials in teaching mathematics in grades 5-9. Using an integrated approach of pedagogy and content special attention will be given to new information technologies, reform-based teaching practices and problem-solving and reasoning. General mathematical concepts are aligned with the academic standards of the Massachusetts curriculum frameworks.

**MTE 503 Math Methods for High School Teachers **

The use of current techniques and materials in teaching mathematics in grades 9-12. Using an integrated approach of pedagogy and content special attention will be given to new information technologies, reform-based teaching practices and problem-solving and reasoning. General mathematical concepts are aligned with the academic standards of the Massachusetts curriculum frameworks.

**MTE 504 Algebraic Thinking for Elementary School Educators **

The course is designed to explore how elementary grades mathematics, typically arithmetic, can be transformed to include algebraic reasoning. In particular, the course examines how to build opportunities for students to generalize patterns and relationships and support that thinking through conjecture and justification. The course will also attend to the forms of classroom practice that can support children's algebraic thinking, how children represent their thinking, and how their representations evolve into more formal ways of thinking involving algebraic notation.

**MTE 505 Algebraic Thinking for Middle School Educators **

Algebraic Structures for Teachers examines the many forms of algebraic reasoning and their conceptual underpinnings, the fundamental shift in the place of algebra in school mathematics and the potential unifying role of abstract and general algebraic structures at the middle school level.

**MTE 506 Algebraic Thinking for High School Educators **

Algebraic Structures for Teachers examines the many forms of algebraic reasoning and their conceptual underpinnings, the fundamental shift in the place of algebra in school mathematics and the potential unifying role of abstract and general algebraic structures at the high school level.

**MTE 507 Connected Mathematics in the Middle Grades **

Drawing deep conceptual links across the middle grades. Investigate how mathematical ideas connect across the grades and build on fundamental concepts from elementary through to high school grades and further. Examine reform-based curriculum (e.g. CMP2) to evaluate best practices in implementing new forms of teaching grades 6-8. Concepts are aligned with the middle mathematics standards of the Massachusetts curriculum frameworks.

**MTE 508 Geometry in Secondary Grades **

Survey new types of geometry made possible by dynamic computer graphics as well as topics that help students deepen their understanding of the key ideas of Euclidean and Non-Euclidean geometries. The focus will be on the connections and deep structural themes unifying these areas, and on using geometry to gain a deeper understanding of middle school and high-school geometries.

**MTE 509 Discrete Mathematics in the Secondary Grades **

Topics in Discrete Mathematics, including combinatorics, logic and set theory, algorithms, linear algebra, relations and functions, elements of number theory, and chaos/fractals. The focus will be on the connections and deep structural themes unifying these areas, and on using discrete math to gain a deeper understanding of middle school and high-school algebra and calculus. Concepts are aligned with the middle and high school mathematics standards of the Massachusetts curriculum frameworks.

**MTE 510 Statistics & Probability in the Secondary Grades **

Examining the statistical methods used in science and everyday life and addresses the problem of pedagogy and statistical misconceptions. The course also examines the modern educational technology and software used in data analysis. Mathematical concepts are aligned with the middle and high school mathematic standards of the Massachusetts curriculum frameworks.

**MTE 511 Technology in Mathematics Education **

Relevant contemporary mathematics investigated through new innovative technologies in an inquiry-based classroom. Explore topics from algebra, Euclidean and other geometries, and data analysis. Re-conceptualize your understanding and knowledge of mathematical concepts through the latest affordances of dynamic mathematical software and hardware. Create new learning opportunities and examine how to implement these into mainstream curriculum.

**MTE 512 Mathematical Challenges **

Developing understanding of student mathematical learning and needs through the completion of mathematical challenges. Each week a new challenge will be set with hints offered at various times. Each challenge will not have a straightforward solution, and the class is expected to develop personal insights into the nature of their mathematical behavior and relate these reflections to practice. An email discussion list and website will facilitate continued inquiry and sharing of ideas outside of class.

**MTE 513 Topics in Middle School Mathematics Education **

Individual and/or group study under supervision of a faculty member in an area of middle school mathematics for teachers that is not otherwise part of graduate course offerings.

**MTE 514 Topics in High School Mathematics Education **

Individual and/or group study under the supervision of a faculty member in an area of high school mathematics for teachers that is not otherwise part of graduate course offerings.

**MTE 515 Interdisciplinary Colloquium Series for Secondary Math Educators **

Presentations made in the Kaput Center's Interdisciplinary Colloquium Series provide a wide variety of perspectives on foundational issues in educational research. Over the course of one year a coherent synthesis of themes presented in these talks and the related scholarly work of each speaker will be developed.

**MTE 516 Topics in Elementary School Mathematics Education**

Exploration of an area of elementary school mathematics relevant for teachers. The course is an individualized opportunity for an individual or group of students to engage in inquiry about a mathematics education topic of interest that is not otherwise part of the graduate course offerings. This course is supervised by a faculty member.

**MTE 519 Calculus For Teachers**

This course focuses on deep understanding of learning and teaching main calculus concepts and mainly focuses on functions, limits, continuity, derivative, and integral. Particular attention will be given to the connections among and conceptual obstacles related to these concepts. The course provides opportunities to enhance content and pedagogical knowledge of the concepts of functional analysis.

**MTE 520 Advanced Mathematical Thinking I **

Deepen your understanding of core mathematical ideas that structure modern day school and undergraduate mathematics. Using a historical approach, mathematical topics across the curriculum will be introduced to offer a longitudinal K-16 educational perspective. Common strategies that students use and concepts that are challenging are explicitly presented.

**MTE 521 Advanced Mathematical Thinking II **

Deepen your understanding of core mathematical ideas that structure modern day school and undergraduate mathematics. Using a historical approach, mathematical topics across the curriculum will be introduced to offer a longitudinal K-16 educational perspective. Common strategies that students use and concepts that are challenging are explicitly presented.

**MTE 522 Number Concepts for Elementary Teachers**

Focus on development of a rich and coherent understanding of teaching and learning K-5 number sense topics. The course focuses on number concepts including place value, basic operations, number systems, properties, and representations for reasoning about problems. It also provides participants opportunities to develop habits of mathematical thinking, use logical reasoning, and engage in real mathematics. Algebraic concepts included as appropriate.

**MTE 523 Geometry & Measurement for Elementary Teachers**

Focuses on development of a rich and coherent understanding of teaching and learning K-5 geometry and measurement topics. Topics include properties and measurement of 2D and 3D objects, angles, lines, constructions, transformations, and similarity. It also provides participants opportunities to develop habits of mathematical thinking, use logical reasoning, particularly deductive logic and proof, as well as engage in real mathematics.

**MTE 530 Proportional Reasoning for Middle School Teachers**

Focuses on key elements of proportional reasoning as outlined by national and state standards. Teachers will deepen their understanding of proportional relationships as well as learn to reason proportionally with representations and other approaches. Topics will include ratios, direct proportions, inverse proportions, rates, and similarity. Relationships between ratios and fractions will be considered.

**MTE 595 Independent Study **

Study under the supervision of a faculty member in an area not otherwise part of the discipline's course offerings. Conditions and hours to be arranged.

**MTE 596 Directed Study**

Study under the supervision of a faculty member in an area covered in a regular course not currently being offered. Conditions and hours to be arranged.

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