CMPT183: Foundations of Computer Science I

Basic theory of digital computers. Syntax and semantics of a programming language. Algorithms: logic, design, testing and documentation. Meets the 1983 General Education Requirement (GER) - Mathematics, Computer Science. 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, students study the history, philosophy, and politics that shape differing views about the roles and responsibilities of teachers, teaching content and knowledge, and explore democratic principles and practices, including issues related to state standards and federal mandates, and curriculum for diverse students, including those with special needs and English Language Learners. Cross listed with EDFD 505. May be repeated once for a maximum of 6.0 credits. 3 sh.

CURR509: Sociocultural Perspectives on Teaching and Learning

This course examines the qualities of teachers, teaching, and schooling that foster the learning of pupils from diverse social and cultural backgrounds. Students in the course use various sociocultural perspectives to explore the ways in which experiences of socialization shape perceptions of oneself and others. They reflect on their own beliefs and assumptions about their sociocultural identities and how they have been shaped through experience. Students also examine the nature and impact of the increasing social and cultural diversity in K-12 schools, focusing on the experiences of socially and culturally diverse students in the United States. They investigate ways of teaching all children successfully and of developing positive relationships among teachers, parents, and children across diversity. They reflect on their capacity to bring about educational change that promotes educational equity and affirms diversity. May be repeated once for a maximum of 6.0 credits. Cross listed with EDFD 509. 3 sh.

Prerequisites: CURR 505 or EDFD 505, CURR 518.

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 central issues in the education of English language learners in U.S. schools and best practices in educating English language learners. Students study the socio-cultural, legal, and political influences on the education of English language learners. They also examine principles of second language acquisition and academic content instruction to meet the needs of English language learners. May be repeated once for a maximum of 2.0 credits. Cross listed with EDFD 516. 1 sh.

Prerequisites: CURR 505 or EDFD 505, CURR 518.

CURR517: Inclusive Classrooms in Middle and Secondary Schools

This course presents the central issues in the inclusion of students with disabilities in U.S. 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 sh.

Prerequisites: CURR 505 or EDFD 505; and CURR 518.

CURR518: Technology Integration in the Classroom

This course is designed to introduce pre-service teachers to the integration of educational technology to facilitate teaching and learning. Students explore the history of educational technology with a focus on the pedagogical and practical implementation of educational technologies, youth technology culture, and emerging technologies. May be repeated once for a maximum of 2.0 credits. 1 sh.

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. Teacher candidates analyze assessment policies and practices, their own as well as local and national, to consider assessment practice from the point of view of learners and how they experience learning opportunities. In addition, teacher candidates relate these aspects of assessment policy and practice to an evaluation of their own notions about assessment and its development. May be repeated once for a maximum of 6.0 credits. Cross listed with EDFD 519. 3 sh.

Prerequisites: CURR 505 or EDFD 505, CURR 518.

CURR526: Teaching for Learning I

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 discussed in previous courses in the professional sequence. In conjunction with CURR 527-Fieldwork, students have the opportunity to begin to put into practice their conceptions of reflective teaching, learning, and assessment in public school classrooms. Specifically, students investigate democratic classrooms, and choosing appropriate teaching strategies and assessments to create successful learning experiences for their students. May be repeated once for a maximum of 6.0 credits. This is the first course in a two-semester sequence (CURR 526, CURR 543). 3 sh.

Prerequisites: CURR 505 or EDFD 505; CURR 509 or EDFD 509; CURR 516 or EDFD 516; CURR 517; CURR 518; READ 501.

CURR527: Fieldwork

Students will 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 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.

CURR529: Student Teaching

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

CURR543: Teaching for Learning II

This course focuses on putting into practice all of the knowledge and skills pre-service teachers have developed throughout their professional sequence and in their student teaching experience. A primary focus is on creating democratic classrooms for their students through developmentally and culturally appropriate planning, instruction, and assessment. Students will also learn about the impact of school and classroom culture and climate on student learning, and on relationships between students and teachers and teachers and other professionals in the school. May be repeated once for a maximum of 6.0 credits. This is the second course in a two-semester sequence (CURR 526, CURR 543). 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).

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, students study the history, philosophy, and politics that shape differing views about the roles and responsibilities of teachers, teaching content and knowledge, and explore democratic principles and practices, including issues related to state standards and federal mandates, and curriculum for diverse students, including those with special needs and English Language Learners. Cross listed with CURR 505. May be repeated once for a maximum of 6.0 credits. 3 sh.

EDFD509: Sociocultural Perspectives of Teaching

This course examines the qualities of teachers, teaching, and schooling that foster the learning of pupils from diverse social and cultural backgrounds. Students in the course use various sociocultural perspectives to explore the ways in which experiences of socialization shape perceptions of oneself and others. They reflect on their own beliefs and assumptions about their sociocultural identities and how they have been shaped through experience. Students also examine the nature and impact of the increasing social and cultural diversity in K-12 schools, focusing on the experiences of socially and culturally diverse students in the United States. They investigate ways of teaching all children successfully and of developing positive relationships among teachers, parents, and children across diversity. They reflect on their capacity to bring about educational change that promotes educational equity and affirms diversity. May be repeated once for a maximum of 6.0 credits. Cross listed with CURR 509. 3 sh.

Prerequisites: CURR 505 or EDFD 505, CURR 518.

EDFD516: Meeting the Needs of English Language Learners

This course examines the central issues in the education of English language learners in U.S. schools and best practices in educating English language learners. Students study the socio-cultural, legal, and political influences on the education of English language learners. They also examine principles of second language acquisition and academic content instruction to meet the needs of English language learners. May be repeated once for a maximum of 2.0 credits. Cross listed with CURR 516. 1 sh.

Prerequisites: CURR 505 or EDFD 505; and CURR 518.

EDFD519: 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. Teacher candidates explore theory and the practice of learning and assessment with and empahsis on classroom evaluation and assessment procedures consistent with the New Jersey Core Curriculum Content Standards (NJCCCS). Teacher candidates analyze assessment policies and practices, their own as well as local and national, to consider assessment practice from the point of view of learners and how they experience learning opportunities. In addition, teacher candidates relate these aspects of assessment policy and practice to an evaluation of their own notions about assessment and its development. May be repeated once for a maximum of 6.0 credits. Cross listed with CURR 519. 3 sh.

Prerequisites: CURR 505 or EDFD 505; and CURR 518.

ELRS580: Learning Theories

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

MATH122: Calculus I

Limits, continuity; derivative and differentiation; applications of the derivative, maxima, minima, and extreme considerations; antiderivatives; Riemann integral. Meets the 1983 General Education Requirement (GER) - Mathematics, Mathematics. 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. Meets the 1983 General Education Requirement (GER) - Mathematics, Mathematics. 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 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 Mathematics majors. 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 sh.

Prerequisites: MATH 221.

MATH350: College Geometry

Study of Euclidean and other geometries from an axiomatic point of view. 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 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 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 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 sh.

Prerequisites: MATH 425.

MATH431: Foundations of Modern Algebra

Fundamental concepts of algebra including groups, rings, integral domains and fields, with important examples. 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 sh.

Prerequisites: MATH 335.

MATH450: Foundations of Geometry

Groups of transformations, an introduction to projective geometry. 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 sh.

Prerequisites: MATH 425.

MATH463: Numerical Analysis

Finite differences, approximation theory, linear and non-linear equations, error analysis. 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 sh.

Prerequisites: MATH 335.

MATH465: Operations Research II

Game theory, queuing models, inventory models, Markov processes, reliability theory and applications. 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 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 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 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 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 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 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 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 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 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 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 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 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. 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. Meets the 1983 General Education Requirement (GER) - Communication, Speaking/Listening. 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 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 sh.

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