Applied Mathematics with Elementary Education

Core Courses




ENG208 - The Structure of the English Language

This course focuses on essential elements of the structure of the English language: its phonology (sound structure), morphology (word structure), and syntax (sentence structure). Students draw on their own knowledge of language as they examine spoken English; they then study the relationship between spoken and written language. As students discuss issues pertinent to teachers and to writers, the relevance of linguistic analysis both to written language development and to writing practice is considered. Prerequisite: ENG 102.

The Structure of the English Language

MATH107 - College Geometry

This course is an introduction to the essentials of Euclidean geometry. Topics covered include: reasoning in mathematics, the relationship between algebra and geometry, analytic geometry, proofs and constructive triangles, circles, quadrilaterals, polygons, surfaces and solids, and historical notes about famous geometricians. Prerequisite: MATH 103 with a grade of C or better or demonstrated competency through placement testing.

College Geometry

MATH205 - Calculus I

This course is an introduction to limits, continuity, and methods of differentiation. Application to problems in business management and physical science is emphasized. Prerequisite: MATH 203 with a grade of C or better or demonstrated competency through placement testing. Restrictions: not open to students who have completed MATH 206, or any 300 level mathematics courses.

Calculus I

MATH206 - Calculus II

This is a continuation of Calculus I, covering integration, functions of several variables, partial differentiation, maxmin problems, derivatives and integrals of trigonometric functions and differential equations with applications to business, biological sciences, and physical sciences. Prerequisite: MATH 205 with a grade of C or better or demonstrated competency through placement testing. Restrictions: not open to students who have completed MATH 320, MATH 328, or MATH 330.

Calculus II

MATH208 - Statistics

This is an introductory course in descriptive and inferential statistics with an emphasis on applications in business and the social and biological sciences. Topics include: data analysis, and graphical methods of describing data, measures of central tendency and variability, probability, the normal distribution, sampling distributions, confidence intervals, hypothesis testing, correlation, and regression analysis. Prerequisites: MATH 104, MATH 109, or MATH 204 with a grade of C or better or demonstrated competency through placement testing and ENG 102.


MATH212 - Finite Mathematics

The focus of this course is to develop mathematical models and to demonstrate the utility of various mathematical techniques that are most applicable to the creation of computer algorithms. Topics include functions and models, linear regression, solving systems of linear equations using matrices, matrix algebra and Leontief Input-Output models, linear programming (graphical and simplex methods), principle of duality, estimated and theoretical probability and Markov Chains. Applications are derived from current real world data and require mastery of Microsoft Excel and graphing calculator technology. Prerequisite: MATH 206 with a grade of C or better.

Finite Mathematics

MATH320 - Differential Equations

This is an introduction to the many ways of solving various types of differential equations with emphasis on theory, methods of solution and applications. Topics include solutions of first, second and simple higher order differential equations, homogeneous and non-homogeneous equations, solutions of systems of differential equations using the theory of matrices, and determinants. Prerequisite: MATH 206 with a grade of B- or better.

Differential Equations

MATH325 - Linear Algebra

This is an introductory course in linear algebra blending the requirements of theory, problem solving, analytical thinking, computational techniques, and applications. Topics include in-depth treatment of matrix algebra, linear systems, vector spaces, linear transformations, determinants and computer methods, as well as applications and modeling of real phenomena in transportation systems, archaeology, economics, communications, demography, weather prediction, connectivity of networks, graph theory, and fractals. Prerequisite: MATH 206 with a grade of C or better.

Linear Algebra

PSYC101 - Psychological Perspectives

In this course, students learn to think like psychologists as they study classic and contemporary topics in human behavior, feeling, and thought. Students learn to apply psychological perspectives of thought, including biological, cognitive, sociocultural, humanistic, psychodynamic, and behaviorist, to better understand the human experience. Students will learn to use these perspectives to explore how individual behavior is influenced by and influences one’s biology, family, community and society. Topics may include human development, personality, psychopathology, human relationships, language, memory, perceptual processes, and intelligence, among others.

Psychological Perspectives
Elementary Education Requirements




ED109 - Invitation to Teaching

This course explores careers in teaching beginning with the unifying question: Why should I become a teacher? Students examine their motivations to become teachers while they learn about college and state requirements and expectations.

Invitation to Teaching

ED110 - Teaching & Learning in American Schools

This course provides students pursuing or considering initial teacher licensure with an overview of the teaching profession. Students study and discuss history and philosophies of education systems, as well as current trends and issues. Massachusetts professional standards and requirements for licensure are explored. This course is a prerequisite for all other ED courses. Twenty-five hours of observation and tutoring in varied school settings are required. This is a presentation-intensive course.

Teaching & Learning in American Schools

ED206 - Early Literacy Teaching & Learning

This course explores literacy development in the preschool and early elementary years, including transitions to reading and writing, role of phonemic awareness and phonics in emergent and early literacy, varied assessments to measure developing literacy, instructional strategies and materials to support young learners. 25 pre-practicum hours. This is a writing intensive course. Prerequisite: ED 110.

Early Literacy Teaching & Learning

ED208 - Elem Literacy Teaching & Learning

This course explores literacy development in the elementary years (through grade 6), including reading in content areas, fluency, reading/writing connections, varied assessments to measure literacy development, and instructional strategies and materials to support elementary learners through grade 6. 25 pre-practicum hours. Prerequisite: ED 110

Elem Literacy Teaching & Learning

ED219 - Supporting Learner Variability

This course introduces students to characteristics of learners with special needs in classroom and community settings. It focuses on principles of Universal Design for Learning in developing appropriate learning environments to meet the variability of all students in Pre-K through high school settings. A required 25-hour pre-practicum provides opportunities to teach and observe in area classrooms. Prerequisite: ED 110

Supporting Learner Variability

ED337 - Teaching & Applying Mathematics: 1 - 6

Students use state and national curriculum standards, teaching strategies, and instructional resources for effective mathematics instruction. Through classroom activities and a 25-hour pre-practicum, students demonstrate their ability to solve problems, reason mathematically, and support young learners in their development of mathematics understanding. Prerequisites: MATH 104, 107; pass all required MTEL.

Teaching & Applying Mathematics: 1 - 6

ED338 - Inclusive Education

In this course, students develop knowledge, skills, and dispositions necessary to create learning environments appropriate to the full variability of learners in pre-K through grade 6. Through in-class activities and a 25-hour pre-practicum, students expand their understanding and use of strategies and resources including Universal Design for Learning, appropriate instructional technology, and positive behavioral supports. Prerequisites: ED 219

Inclusive Education

ED344 - Science Concepts & Curriculum: 1-6

This course engages students in integrating elementaryscience content with state and national curriculumstandards and resources, including instructional technology, to develop effective science lessons. The course includes practice in integrating science concepts with elementary curriculum and requires a 25 hour pre-practicum in elementary classrooms. Prerequisite: pass all required MTEL.

Science Concepts & Curriculum: 1-6

ED419 - Pre-Practicum: Elementary (1 - 6)

In this course, students complete a minimum of 150 hours of supervised field experience in classrooms appropriate for their concentration. Students observe, teach, and assist their cooperating teacher with classroom responsibilities. A weekly seminar provides a forum for discussion of pre-practicum related issues. Prerequisite: Permission of the Department Chair.

Pre-Practicum: Elementary (1 - 6)

ED421 - Curriculum Integration

In this capstone course, students integrate theory and previous field experiences with their 150-hour pre-practicum. Research and discussion topics include classroom management and organization, use of various curriculum materials and resources, and ethical issues in educational settings. Students design a classroom-based research project which will be completed during the practicum (ED 496 or 498). Prerequisites: Senior standing, pass all required MTEL, concurrent enrollment in ED 417 or ED 419.

Curriculum Integration

ED494 - Professional Standards & Ethics

Taken concurrently with ED 496 or ED 498, this capstone seminar engages students in ethical questions such as student confidentiality, testing, and communicating with various constituencies as well as practical aspects of preparing for an initial teaching position. It includes conducting and reporting on the classroom-based research project that was designed in ED 421. Co-requisite: ED 496 or ED 498.

Professional Standards & Ethics

ED498 - Practicum: Elementary (1 -6)

In this course, students are placed in elementary schools for a five day a week placement. Students assume increasing responsibility and end with a “take over” week in the classroom. A weekly seminar provides a forum for discussion of practicum related issues. Topics of discussion include the ethics of teaching, legal and moral responsibilities, student confidentiality, and working with parents. Permission of the Department Chair required. Prerequisite: Passing scores on all required sections of the MTEL.

Practicum: Elementary (1 -6)

PSYC221 - Child Development

This course examines the physical, cognitive, linguistic, social, and emotional development of the child from birth to adolescence. The contributions of social and cultural experiences as well as the role of biological factors in development are examined as are major theories of development. Students are introduced to the research approaches used to study human development and may be required to carry out observations in various settings. Prerequisite: PSYC 101.

Child Development
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ENG210 - Survey of American Literature

This course surveys representative periods, authors, or genres in American literature from beginnings in Native American oral literatures through the present day. Individual sections organize study of classic and contemporary texts around particular themes, such as Queering American Literatures, American Migrations, Hemispheric American Literature, or Americans on the Edge: "Frontiers" in the American Imagination. Individual sections also trace twentieth or twenty-first century movements to their roots in or resistance to earlier periods or movements, such as captivity narratives and colonial "Brief and True Relations," American Romanticism and the American Renaissance, escaped slave narratives and the Civil War, Reconstruction and Reform, American Modernism, Harlem Renaissance, Beat Generation, Southern Gothic, or Postmodernism. This is a writing-intensive course. Prerequisite: ENG 102.

Survey of American Literature

ENG218 - British Literature

This course surveys British writing in poetry, fiction, and drama, with a focus on key periods in the development of British literature. Emphasis is on representative writers in each period. Periods and movements surveyed include Anglo-Saxon, Medieval, Renaissance, Restoration and the Eighteenth Century, Romanticism, Victorian, Modern, and Contemporary or Postmodern. This is a writing-intensive course. Prerequisite: ENG 102.

British Literature

ENG340 - Classics of World Literature

This course explores representative fiction, poetry, or drama by major figures in world literature, centering on a theme such as love, tragedy, comedy, immortality, madness, wasteland, quest for knowledge, voyages, or exploration. This is a presentation-intensive course. Prerequisite: Any 200 level English course.

Classics of World Literature
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HIST123 - American Civilization I

This course examines the chief political, social, and cultural features of American society as they have developed through the period of Reconstruction. Emphasis is on Colonial America, the War of Independence, the Constitution, and the emergence of the Republic through the Civil War.

American Civilization I

HIST124 - American Civilization II

This course is a continuation of HIST 123 from the period of Reconstruction to the present. Emphasis is on reconstruction, industrializa­tion, immigration, constitutional issues, and the emergence of American foreign policy. There is some examination of American political life in the nuclear age.

American Civilization II
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HIST103 - World Civilization I

Beginning with prehistory, this course explores early civilizations and then follows developments in a global context, showing interconnections between Asia, Africa, and Europe. Emphasis is placed on cultural, social, economic, religious, and political developments.

World Civilization I

HIST104 - World Civilization II

This course emphasizes themes of interrelatedness and mutuality of influence between East and West. Internal as well as external developments are explored. Questions of exclusiveness, intolerance, and cooperation are examined.

World Civilization II

Additional Requirements:
Math course approved by the Education Department: 3 credits
Three additional mathematics courses (MATH 207 or higher); MATH 207 is recommended: 9 credits
Choose one approved course (information provided by Education Department) from ECON, ENV, POLS, or HIST: 3 credits
Science Elective: 3-4 credits

General Education Core Requirements and remaining Unrestricted Electives: 13-14 credits

Minimum credits required for graduation: 120

Courses listed below fulfill the Area of Inquiry requirements:
ENG 210: Survey of American Literature
ENG 218: British Literature
ENG 340: Classics of World Literature
HIST 123: American Civilization I
HIST 124: American Civilization II
Moral and Ethical
ED 494: Professional Standards & Ethics
ED 219: Supporting Learner Variability
Psychological and Societal
PSYC 101: Psychological Perspectives
MATH 107: College Geometry  
Science Elective