CMPT183: Foundations of Computer Science I

Basic theory of digital computers. Syntax and semantics of a programming language. Algorithms: logic, design, testing and documentation. (2 hours lecture, 2 hours lab.) 3 sh.

Prerequisites: MATH 100, MATH 112, MATH 114, MATH 116, MATH 122 or MATH 221.

CURR505: Teaching, Democracy, and Schooling

This course brings together differing viewpoints regarding the purposes of teaching in the United States and the teacher's role in fostering democracy. It provides future teachers with the habits of mind, skills, tools and resources to analyze and evaluate the relationship between the history of public education, the evolution of teacher identity, and the roles teachers and teaching have played in shaping the United States as a society and vice versa. Using Montclair State's Portrait of a Teacher as an organizing framework, this course places particular emphasis on the idea that all students can learn regardless of their gender, ability, race, ethnicity, or economic background. Students in the course study the history, philosophy, and politics that shape differing views about the roles and responsibilities of teachers, especially as these views relate to integration and inclusion in the classroom. Cross listed with EDFD 505. May be repeated once for a maximum of 6.0 credits. (3 hours lecture.) 3 sh.

Prerequisites: Students must be enrolled in a Master of Arts in Teaching (MAT), Instructional Teaching Certificate (CRI), Educational Services Certificate (CRE) or Master of Education (MED).

CURR509: Sociocultural Perspectives on Teaching and Learning

This course examines how teachers, teaching, & schooling can foster the learning of pupils from diverse socio-economic, linguistic & cultural backgrounds. Students explore the ways socialization shapes perceptions of oneself & others; reflect on their own beliefs & assumptions about their sociocultural identities & how those have been shaped through experience; examine the nature & impact of the increasing social, cultural, & linguistic diversity in K-12 schools; & reflect on their capacity to bring about educational change that promotes equity & affirms diversity. They investigate ways of teaching all children successfully, particularly through a culturally responsive curriculum, & of developing positive relationships among teachers, parents, & children across diversity. Through a community study of an urban area with a predominantly poor & diverse population, students develop a framework for understanding the relationship between schools, communities, & society; cultivate skills needed to familiarize themselves with diverse communities & their residents; & envision ways they can help future students see connections between their in-school & out-of-school experiences. They also develop their ability to work collaboratively with colleagues. May be repeated once for a maximum of 6.0 credits. Cross listed with EDFD 509. (3 hours lecture.) 3 sh.

Prerequisites: CURR 505 or EDFD 505, CURR 518. Students must be enrolled in a Master of Arts in Teaching (MAT), Instructional Teaching Certificate (CRI), Educational Services Certificate (CRE) or Master of Education (MED).

CURR514: Inservice Supervised Graduate Student Teaching

Open only to post-baccalaureate and graduate students; this course replaces supervised student teaching for those already employed in teaching situations without standard certification. Joint supervision by the school district and University personnel. Student must obtain permission of department chairperson and the school district. Certain qualifications required. () 4 - 8 sh.

Prerequisites: Departmental approval.

CURR516: Meeting the Needs of English Language Learners

This course examines the best practices in educating English language learners. Students gain a greater understanding of the linguistic difficulties and resources of English language learners as well as the importance of a multicultural curriculum. Students learn how to make content comprehensible and differentiate instruction based on the language levels of individual English language learners. Students develop an understanding of the academic and affective needs of English language learners, and of strategies for meeting these needs. May be repeated once for a maximum of 2.0 credits. Cross listed with EDFD 516. (1 hour lecture.) 1 sh.

Prerequisites: CURR 505 or EDFD 505, CURR 518. Students must be enrolled in a Master of Arts in Teaching (MAT), Instructional Teaching Certificate (CRI), Educational Services Certificate (CRE) or Master of Education (MED).

CURR517: Inclusive Classrooms in Middle and Secondary Schools

This course presents the central issues in the inclusion of students with disabilities in United States middle and secondary schools. It focuses on best practices for providing access to the general education curriculum for students with disabilities in inclusive settings. In addition, students explore the legal, professional, and contextual influences on the implementation of inclusion. May be repeated once for a maximum of 2.0 credits. (1 hour lecture.) 1 sh.

Prerequisites: CURR 505 or EDFD 505; and CURR 518. Students must be enrolled in a Master of Arts in Teaching (MAT), Instructional Teaching Certificate (CRI), Educational Services Certificate (CRE) or Master of Education (MED).

CURR518: Technology Integration in the Classroom

This one-credit course introduces pre-service teachers to the dimensions of educational technology for teaching and learning. Students also explore the history of educational technology with a focus on the pedagogical and practical implementation of educational technologies, youth technology culture, and emerging technologies. It enables the students to drawn upon field-based experiences in READ 501 to plan instructional technology environments that are student-centered, collaborative, and inquiry-based; that emphasize critical thinking; and that support specific curricular goals - as stated in institutional, state and national standards for technology in education. May be repeated once for a maximum of 2.0 credits. (1 hour lecture.) 1 sh.

Prerequisites: Students must be enrolled in a Master of Arts in Teaching (MAT), Instructional Teaching Certificate (CRI), Educational Services Certificate (CRE) or Master of Education (MED).

CURR519: Assessment for Authentic Learning

This course provides prospective teachers with knowledge and skills for evaluating and understanding student growth and learning across diverse educational settings. Students consider assessment practices from the point of view of learners and how they experience learning opportunities. Teacher candidates also analyze assessment policies and practices, both local and national, in order to maximize both student and teacher performance. They draw on aspects of assessment policy and practice to evaluate their own understandings of assessment and its development. May be repeated once for a maximum of 6.0 credits. Cross listed with EDFD 519. (3 hours lecture.) 3 sh.

Prerequisites: CURR 505 or EDFD 505, CURR 518. Students must be enrolled in a Master of Arts in Teaching (MAT), Instructional Teaching Certificate (CRI), Educational Services Certificate (CRE) or Master of Education (MED).

CURR526: Teaching for Learning I

This is the first course in a two-semester sequence (CURR 526, CURR 543). This course focuses on developing classroom practices necessary for student teaching and the beginning of a professional career in teaching, building from the knowledge and skills developed in previous courses in the professional sequence. In conjunction with CURR 527-Fieldwork, students have the opportunity to observe in classrooms and to do individual, small group, and whole class teaching. Students investigate democratic classroom practice by focusing on curriculum development; creating a positive, well-structured climate for learning in their classrooms; learning and practicing techniques for effective classroom management; and choosing appropriate teaching strategies and assessments to create successful learning experiences for their students. (3 hours lecture.) 3 sh.

Prerequisites: CURR 505 or EDFD 505; CURR 509 or EDFD 509; CURR 516 or EDFD 516; CURR 517; CURR 518; READ 501. Students must be enrolled in a Master of Arts in Teaching (MAT), Instructional Teaching Certificate (CRI), Educational Services Certificate (CRE) or Master of Education (MED).

CURR527: Fieldwork

Students spend 60 hours, or approximately one day per week, in a selected public school. Activities include, but are not limited to, observing classroom teachers, facilitating small group and individual instruction, participating in after-school activities, tutoring, attending department meetings, shadowing and interviewing students and teachers, lesson planning and teaching, and assessing student work. May be repeated once for a maximum of 6.0 credits. (3 hours lecture.) 3 sh.

Prerequisites: CURR 505 or EDFD 505; and CURR 509 or EDFD 509; and CURR 516 or EDFD 516; and CURR 517; and CURR 518; and EDFD 519 or CURR 519; and READ 501. Students must be enrolled in a Master of Arts in Teaching (MAT), Instructional Teaching Certificate (CRI), Educational Services Certificate (CRE) or Master of Education (MED).

CURR529: Student Teaching

Full time student teaching in the public schools of New Jersey for the duration of a semester is required of all students who complete the regular program of certification requirements. 6 hour lab requirements. May be repeated once for a maximum of 12.0 credits. (6 hours lab.) 6 sh.

Prerequisites: CURR 505 or EDFD 505; and CURR 509 or EDFD 509; and CURR 516 or EDFD 516; and CURR 517; and CURR 518; and CURR 519 or EDFD 519; and CURR 526; and CURR 527; and READ 501; and content area methods course(s). Students must be enrolled in a Master of Arts in Teaching (MAT), Instructional Teaching Certificate (CRI), Educational Services Certificate (CRE) or Master of Education (MED).

CURR543: Teaching for Learning II

This is the second course in a two-semester sequence (CURR 526, CURR 543). This course focuses on putting into practice all the knowledge and skills students have developed throughout their professional sequence in their full-time, supervised student teaching experience. A primary focus is on planning and implementing curriculum. In addition to curriculum planning and using appropriate instructional and assessment strategies, students learn about the impact of the school and classroom culture and climate on student learning and on relationships between and among students, teachers, and other professionals in school. May be repeated once for a maximum of 6.0 credits. (3 hours lecture.) 3 sh.

Prerequisites: CURR 505 or EDFD 505; and CURR 509 or EDFD 509; and CURR 516 or EDFD 516; and CURR 517; and CURR 518; and CURR 526; and CURR 527; and READ 501; and content area methods course(s). Students must be enrolled in a Master of Arts in Teaching (MAT), Instructional Teaching Certificate (CRI), Educational Services Certificate (CRE) or Master of Education (MED).

EDFD505: Teaching, Democracy, and Schooling

This course brings together differing viewpoints regarding the purposes of teaching in the United States and the teacher's role in fostering democracy. It provides future teachers with the habits of mind, skills, tools and resources to analyze and evaluate the relationship between the history of public education, the evolution of teacher identity, and the roles teachers and teaching have played in shaping the United States as a society and vice versa. Using Montclair State's Portrait of a Teacher as an organizing framework, this course places particular emphasis on the idea that all students can learn regardless of their gender, ability, race, ethnicity, or economic background. Students in the course study the history, philosophy, and politics that shape differing views about the roles and responsibilities of teachers, especially as these views relate to integration and inclusion in the classroom. Cross listed with CURR 505. May be repeated once for a maximum of 6.0 credits. (3 hours lecture.) 3 sh.

Prerequisites: Students must be enrolled in a Master of Arts in Teaching (MAT), Instructional Teaching Certificate (CRI), Educational Services Certificate (CRE) or Master of Education (MED).

EDFD509: Sociocultural Perspectives of Teaching

This course examines how teachers, teaching, & schooling can foster the learning of pupils from diverse socio-economic, linguistic & cultural backgrounds. Students explore the ways socialization shapes perceptions of oneself & others; reflect on their own beliefs & assumptions about their sociocultural identities & how those have been shaped through experience; examine the nature & impact of the increasing social, cultural, & linguistic diversity in K-12 schools; & reflect on their capacity to bring about educational change that promotes equity & affirms diversity. They investigate ways of teaching all children successfully, particularly through a culturally responsive curriculum, & of developing positive relationships among teachers, parents, & children across diversity. Through a community study of an urban area with a predominantly poor & diverse population, students develop a framework for understanding the relationship between schools, communities, & society; cultivate skills needed to familiarize themselves with diverse communities & their residents; & envision ways they can help future students see connections between their in-school & out-of-school experiences. They also develop their ability to work collaboratively with colleagues. May be repeated once for a maximum of 6.0 credits. Cross listed with CURR 509. (3 hours lecture.) 3 sh.

Prerequisites: CURR 505 or EDFD 505, CURR 518. Students must be enrolled in a Master of Arts in Teaching (MAT), Instructional Teaching Certificate (CRI), Educational Services Certificate (CRE) or Master of Education (MED).

EDFD516: Meeting the Needs of English Language Learners

This course examines the best practices in educating English language learners. Students gain a greater understanding of the linguistic difficulties and resources of English language learners as well as the importance of a multicultural curriculum. Students learn how to make content comprehensible and differentiate instruction based on the language levels of individual English language learners. Students develop an understanding of the academic and affective needs of English language learners, and of strategies for meeting these needs. May be repeated once for a maximum of 2.0 credits. Cross listed with CURR 516. (1 hour lecture.) 1 sh.

Prerequisites: CURR 505 or EDFD 505; and CURR 518. Students must be enrolled in a Master of Arts in Teaching (MAT), Instructional Teaching Certificate (CRI), Educational Services Certificate (CRE) or Master of Education (MED).

EDFD519: Assessment for Authentic Learning

This course examines the best practices in educating English language learners. Students gain a greater understanding of the linguistic difficulties and resources of English language learners as well as the importance of a multicultural curriculum. Students learn how to make content comprehensible and differentiate instruction based on the language levels of individual English language learners. Students develop an understanding of the academic and affective needs of English language learners, and of strategies for meeting these needs. May be repeated once for a maximum of 2.0 credits. Cross listed with CURR 516. (3 hours lecture.) 3 sh.

Prerequisites: CURR 505 or EDFD 505; and CURR 518. Students must be enrolled in a Master of Arts in Teaching (MAT), Instructional Teaching Certificate (CRI), Educational Services Certificate (CRE) or Master of Education (MED).

ELRS580: Learning Theories

Study of the learning process and its measurement as it applies in the classroom and non-school settings. (3 hours lecture.) 3 sh.

MATH122: Calculus I

Limits, continuity; derivative and differentiation; applications of the derivative, maxima, minima, and extreme considerations; antiderivatives; Riemann integral. (4 hours lecture.) 4 sh.

Prerequisites: MATH 111 or MATH 112 or placement through the Montclair State University Placement Test (MSUPT) or a satisfactory score on department's Calculus Readiness Test. (Students who did not satisfy the course prerequisite at MSU and students who received a grade of D-, D, or D+ in the prerequisite course taken at MSU are required to demonstrate competency on the department's Calculus Readiness Test.)

MATH221: Calculus II

Riemann integral applications, transcendental functions, techniques of integration, improper integrals, L'Hospital's rule, infinite series. (4 hours lecture.) 4 sh.

Prerequisites: MATH 122.

MATH222: Calculus III

Vector algebra; partial differentiation, and extreme considerations; polar, cylindrical, and spherical coordinates, multiple integration; introduction to line integrals. (4 hours lecture.) 4 sh.

Prerequisites: MATH 221.

MATH335: Linear Algebra

The course content will cover the foundations of the algebra of vector spaces, matrix operations, matrix invertibility theorems, linear independence, span, basis, linear transformations, finite dimensional Hilbert Spaces, Gram-Schmidt process, projections, eigenvalues and eigenvectors, and applications. The focus of the course will be to develop advanced mathematical skills in reading and understanding abstract mathematical definitions, constructing examples, and developing mathematical proofs. Meets the University Writing Requirement for majors in Mathematics. (4 hours lecture.) 4 sh.

Prerequisites: MATH 222 or equivalent.

MATH340: Probability

Chance and variability, elements of combinatorics, Bayes' theorem, random variables, binomial, poisson and normal distributions, applications to statistics. (3 hours lecture.) 3 sh.

Prerequisites: MATH 221.

MATH350: College Geometry

Study of Euclidean and other geometries from an axiomatic point of view. (3 hours lecture.) 3 sh.

Prerequisites: MATH 221.

MATH420: Ordinary Differential Equations

A course in the theory and applications of ordinary differential equations which emphasizes qualitative aspects of the subject. Topics include analytic and numerical solution techniques for linear and nonlinear systems, graphical analysis, existence-uniqueness theory, bifurcation analysis, and advanced topics. Prerequisite: MATH 335. (4 hours lecture.) 4 sh.

Prerequisites: MATH 335.

MATH423: Complex Variables

This course is a study of the arithmetic and algebra of complex numbers, and an introduction to the differentiation and integration of complex functions. Topics include: rectangular and polar form of complex numbers, algebra of complex numbers, differentiation, Cauchy-Riemann equations, and contour integrals. (3 hours lecture.) 3 sh.

Prerequisites: MATH 335.

MATH425: Advanced Calculus I

Properties of the real number system, limits, continuous functions, intermediate value theorem, derivative, mean value theorem, Riemann integral. (3 hours lecture.) 3 sh.

Prerequisites: MATH 335.

MATH426: Advanced Calculus II

Functions of several variables, partial derivatives, Green's theorem, Stoke's theorem, divergence theorem, implicit function theorem, inverse function theorem, infinite series, uniform convergence. (3 hours lecture.) 3 sh.

Prerequisites: MATH 425.

MATH431: Foundations of Modern Algebra

Fundamental concepts of algebra including groups, rings, integral domains and fields, with important examples. (3 hours lecture.) 3 sh.

Prerequisites: MATH 335.

MATH433: Theory of Numbers

Properties of integers, congruences, quadratic reciprocity law, primitive roots, diophantine equations, continued fractions, algebraic numbers, lattice points and partitions. (3 hours lecture.) 3 sh.

Prerequisites: MATH 335.

MATH450: Foundations of Geometry

Groups of transformations, an introduction to projective geometry. (3 hours lecture.) 3 sh.

Prerequisites: MATH 335.

MATH451: Topology

Topological spaces, metric spaces, continuity, compactness, connectedness, and separability properties; topological generalizations of basic continuity theorems of advanced calculus. (3 hours lecture.) 3 sh.

Prerequisites: MATH 425.

MATH463: Numerical Analysis

Finite differences, approximation theory, linear and non-linear equations, error analysis. (3 hours lecture.) 3 sh.

Prerequisites: MATH 222 and 335.

MATH464: Operations Research I

Linear programming, transportation problem, assignment problem, duality, sensitivity analysis, network flows, dynamic programming, nonlinear programming, integer programming. (3 hours lecture.) 3 sh.

Prerequisites: MATH 335.

MATH465: Operations Research II

Game theory, queuing models, inventory models, Markov processes, reliability theory and applications. (3 hours lecture.) 3 sh.

Prerequisites: MATH 335 and 340.

MATH469: Mathematical Modeling

The art of constructing mathematical models for "real world" problems, solving the model, and testing the accuracy of the model. Problems will be selected from business, science, computer science, and the social sciences. (3 hours lecture.) 3 sh.

Prerequisites: MATH 335, and MATH 340, and MATH 464 or STAT 330.

MATH470: Teaching of Mathematics

Selection, organization, and presentation of secondary mathematics, classroom activities, lesson planning, techniques of motivation, evaluation, multisensory aids, principles of learning, and applications of the microcomputer to classroom teaching. (4 hours lecture.) 4 sh.

Prerequisites: Admission to Teacher Education Program and MATH 335.

MATH471: Selected Topics in Modern Mathematics

Professionalized view of junior and senior high school mathematics topics: functions, real and complex numbers, analytic geometry, absolute value and inequalities, sets and logic, flow charting, linear programming. (3 hours lecture.) 3 sh.

Prerequisites: Admission to Teacher Education Program and MATH 335.

MATH475: History of Mathematics

Histories of geometry, number theory, algebra, calculus and infinite processes. (3 hours lecture.) 3 sh.

Prerequisites: MATH 335.

MATH485: Applied Combinatorics and Graph Theory

Problem solving by counting, enumeration, and graph theory. Permutation, combinations, binomial coefficients, generating functions, and recurrence relations, partitions, inclusion-exclusion, Polya's formula, graph theoretic models, trees, circuits, networks, matching, and their applications to puzzles, games, tournaments, traffic patterns, transportation. (3 hours lecture.) 3 sh.

Prerequisites: MATH 340.

MATH490: Honors Seminar

This course will concentrate on subject matter not usually covered within standard mathematics courses. A written and oral report are required. (3 hours seminar.) 3 sh.

Prerequisites: MATH 335 and departmental approval.

MATH495: Topics for Undergraduates

Study of advanced topics in undergraduate mathematics. May be repeated once for a maximum of 6.0 credits as long as the topic is different. () 1 - 3 sh.

Prerequisites: MATH 335 and departmental approval.

MATH497: Research I

Individual research in a mathematical area agreed upon by the student and the instructor. The results of the research will be a basis of a seminar or colloquium to be given by the student. Students must not accumulate more than 6 credits total in courses MATH 497, 498. () 1 - 3 sh.

Prerequisites: MATH 335 and departmental approval.

MATH498: Research II

Individual research in a mathematical area agreed upon by the student and the instructor. The results of the research will be a basis of a seminar or colloquium to be given by the student. Students must not accumulate more than 6 credits total in courses MATH 497, 498. () 1 - 3 sh.

Prerequisites: MATH 335 and departmental approval.

MATH572: Contemporary Teaching of Mathematics

Pedagogy, resources, and research related to the teaching of standards-based mathematics in grades 6-12. Emphasis is on creating student-centered learning environments, resources and materials for contemporary mathematics classrooms, models of effective teaching and learning, alternative assessment, appropriate uses of technology and multicultural aspects of mathematics. (3 hours lecture.) 3 sh.

Prerequisites: Permission of graduate program coordinator.

MATH573: Mathematics Materials for Teachers of Mathematics

The construction, adaptation and effective use of classroom materials and activities designed to enhance and expand the teaching of mathematics and mathematical thinking in the middle and high school grades with special attention given to basic commercial and simple teacher- and student-made manipulatives and models with broad use from the development of concepts and skills to their maintenance, review, and extension plus applications to problem solving. (3 hours lecture.) 3 sh.

Prerequisites: Permission of graduate program coordinator.

MATH574: Problem Analysis in Secondary Mathematics

Psychology and techniques of problem-solving. Discovery and heuristic methods. Intuitive and inductive reasoning in the solution of nonroutine problems from high school mathematics. Problem formation and solution. (3 hours lecture.) 3 sh.

Prerequisites: MATH 222 and permission of graduate program coordinator.

MATH575: Selected Topics in Mathematics Education

Selection of topics associated with secondary and early college years of mathematics investigated from an advanced point of view. Topics selected to give the teacher a professionalized subject matter viewpoint of such areas as algebra, geometry, number theory, real and complex analysis, probability and history of mathematics. (3 hours lecture.) 3 sh.

Prerequisites: MATH 222 and permission of graduate program coordinator.

MATH579: Approaching School Mathematics Through Applications

Topics in middle grade and secondary mathematics are explored with an emphasis on their application to both traditional and more recently developed areas. Applied problems are used to motivate mathematical topics, and mathematical knowledge is used to explore solutions to applied problems. (3 hours lecture.) 3 sh.

Prerequisites: Permission of graduate program coordinator.

PSYC560: Advanced Educational Psychology

A comprehensive treatment of the cognitive and affective characteristics of the learner and the processes of learning and teaching provide the framework for this course. Behavioral, cognitive and information-processing theory are presented and their applicability to instructional strategies and classroom dynamics is discussed. Other areas included are the origins of individual differences including heredity and environment, early childhood education, cultural differences, student motivation, classroom management, measurement and evaluation, exceptional children and other topics. (3 hours lecture.) 3 sh.

READ501: Techniques of Reading Improvement in the Secondary School

Studies the improvement of nonclinical reading difficulties in the content subjects. For the subject area teacher and the beginning reading specialist. Secondary school reading needs and specific suggestions for guiding the slow, average, and gifted student in a classroom situation. Starting Summer 2012: Techniques of Reading Improvement in the Secondary School introduces pre-service and in-service teachers to an array of cross-content literacy strategies for the improvement of nonclinical reading difficulties. Students learn how to ground literacy strategies in purposeful and meaningful curricular and pedagogical projects. (3 hours lecture.) 3 sh.

SPCM101: Fundamentals of Speech: Communication Requirement

This course introduces students to the theoretical and practical requirements of different types of public presentations and helps students develop an understanding and appreciation of the dynamic nature of the communication process. The course focuses on the basic elements of the communication process, listening, communicator and audience characteristics, basic research skills, and message composition and delivery. Students learn about the demands of public presentations in culturally and professionally diverse environments and develop presentation competence and flexibility. Meets Gen Ed 2002 - Communication, Communication. (3 hours lecture.) 3 sh.

STAT441: Statistical Computing

This course is designed: (1) to acquaint students with the use of the computer in solving statistical problems, and (2) to develop intermediate level statistical methodology. Several statistical computing packages and the student's own programs will be utilized. (3 hours lecture.) 3 sh.

Prerequisites: STAT 330 or STAT 401 and computer experience.

STAT443: Introduction to Mathematical Statistics

Develops statistical methods from probability theory. Topics discrete and continuous probability distributions, estimation, inference and hypothesis testing. (3 hours lecture.) 3 sh.

Prerequisites: MATH 340 and either STAT 330 or STAT 401.