Teaching, with Teacher Certification in Mathematics (PreschoolGrade 12) and Teacher of Students with Disabilities (M.A.T.) Graduate (Combined B.S./M.A.T.)  2012 University Catalog
You are viewing the 2012 University Catalog. Please see the newest version of the University Catalog for the most current version of this program's requirements.
In this program, students complete general education and major requirements and an initial set of coursework in education as undergraduates. As graduate students, they will complete the coursework in education and conduct their fieldwork and student teaching.
TEACHING (MATH & STUDENTS w/DISAB)
Complete 36 semester hours including the following 4 requirement(s):

GRADUATE PROFESSIONAL SEQUENCE PART I
Complete 2 courses:

GRADUATE PROFESSIONAL SEQUENCE PART II
Complete the following 2 requirement(s):

Complete 1 course from the following:
MATH 572 Contemporary Teaching of Mathematics (3 hours lecture) 3 MATH 573 Mathematics Materials for Teachers of Mathematics (3 hours lecture) 3 
Complete 2 requirement(s):

Complete the following 2 courses:
CURR 526 Teaching for Learning I (3 hours lecture) 3 CURR 527 Fieldwork (3 hours lecture) 3 
Complete 1 course from the following:
ECEL 691 Issues, Policies and Trends in Inclusive Education (3 hours lecture) 3 SPED 691 Issues, Policies and Trends in Inclusive Education (3 hours lecture) 3



GRADUATE PROFESSIONAL SEQUENCE PART III
Complete the following 2 courses:
CURR 529 Student Teaching (6 hours lab) 6 CURR 543 Teaching for Learning II (3 hours lecture) 3 
ADDITIONAL GRADUATE COURSES
The following coursework is completed as part of the undergraduate component.

Complete 2 courses: (Courses are completed as part of the undergraduate program).
SPED 584 Assessment and Evaluation in the Inclusive Classroom 23 SPED 585 Technology for Inclusive Classrooms 23 
Complete 1 course from the following with advisor approval:

Course Descriptions:
CURR526: Teaching for Learning I (3 hours lecture)
This is the first course in a twosemester 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 527Fieldwork, 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, wellstructured 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 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 (3 hours lecture)
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 afterschool 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. 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 (6 hours lab)
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 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 (3 hours lecture)
This is the second course in a twosemester 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 fulltime, 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 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).
ECEL691: Issues, Policies and Trends in Inclusive Education (3 hours lecture)
The culminating experience for the BA/MAT Dual Certification programs, this course focuses on policies, issues, and trends related to the education of students in inclusive settings. Relevant sociological and cultural persepctives focused on the social construction of dis/ability are examined as well as their implications for the schools. Students synthesize, analyze, and evaluate issues of relevance to inclusive education that will impact their professional careers as teachers in inclusive environments and the future of inclusive education. Students also conduct an empirical research project on inclusion. 3 sh.
Prerequisites: Completion of 12 graduate credits in the program.
MATH501: Mathematics for Computer Science I (4 hours lecture)
Sets, relations, functions, graphs, trees, propositional calculus, induction and recursion, applications to computer science. May not be used for credit by Mathematics or Computer Science majors. 4 sh.
Prerequisites: Graduate program coordinator's permission.
MATH502: Mathematics for Computer Science II (3 hours lecture)
An introduction to linear algebra, vectors, matrices, counting rules, probability theory, random variables, Poisson and binomial distribution, with applications to Computer Science. May not be used for credit by Mathematics and Computer Science majors. 3 sh.
Prerequisites: Graduate program coordinator's permission.
MATH503: Mathematics for Computer Science III (3 hours lecture)
Differential and integral calculus, infinite series, applications to computer science. May not be used for credit by Mathematics and Computer Science majors. 3 sh.
Prerequisites: Graduate program coordinator's permission.
MATH510: Workshop in Mathematics Education I
Specific contemporary topics and current issues in school mathematics. May be repeated for a maximum of 8.0 credits as long as the topic is different. 1  4 sh.
Prerequisites: Permission of graduate program coordinator.
MATH511: Workshop in Mathematics Education II
Specific contemporary topics and current issues in school mathematics. May be repeated for a maximum of 8.0 credits as long as the topic is different. 1  4 sh.
Prerequisites: Permission of graduate program coordinator.
MATH512: Technology in the Middle Grades Mathematics Curriculum (3 hours lecture)
This course is designed to provide experiences in the integration of technology into middle grades mathematics classes. The primary emphases are on the analysis and evaluation of computer software addressing the middle grades mathematics courses. Other topics include the use of spreadsheets, fraction and graphing calculators, data probes, and handheld digital assistants as problemsolving tools to enhance the teaching/learning process. The course also includes current literature describing exemplary models and practices in the use of technology in the mathematics classroom. 3 sh.
Prerequisites: Permission of graduate program coordinator.
MATH513: Computer Science Concepts for High School Teachers (3 hours lecture)
This course is specifically designed to help high school mathematics teachers prepare to use the microcomputer as a tool in their classrooms. Topics include an introduction to computer literacy, elements of BASIC programming, the evaluation of commercial software, the appropriate use of the software and a survey of relevant professional literature. Minimal prior knowledge of BASIC is assumed. May not be used for credit by Computer Science majors. 3 sh.
Prerequisites: Permission of graduate program coordinator.
MATH514: Advanced Placement Computer Science Concepts (3 hours lecture)
This course is specifically designed to help senior high school teachers prepare to instruct the AP course in computer science. Topics include the problem solving process, good programming style, the syntax of the current AP language, and their applications to computer science. Additional topics include algorithms, data structures, procedures, program design, sorting and searching. Minimal prior knowledge of a high level language is assumed. May not be used for credit for Computer Science majors. 3 sh.
Prerequisites: Graduate program coordinator's permission.
MATH515: Intermediate Analysis I (3 hours lecture)
Properties of the real number system, limits, continuous functions, intermediate value theorem, derivative, mean value theorem, Riemann integral. 3 sh.
Prerequisites: Permission of graduate program coordinator.
MATH516: Intermediate Analysis II (3 hours lecture)
This course is a continuation of MATH 515. Topics include 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 515 or MATH 425 or equivalent, permission of graduate program coordinator.
MATH518: Foundations of Abstract Algebra (3 hours lecture)
Fundamental concepts of algebra including groups, rings, integral domains and fields, with important examples. 3 sh.
Prerequisites: Permission of graduate program coordinator.
MATH519: Teaching Mathematics (3 hours lecture)
Selection, organization, and presentation of secondary mathematics, classroom activities, lesson planning, techniques of motivation, evaluation, multisensory aids, principles of learning, assessment, and applications of technology to classroom teaching. 3 sh.
MATH520: Set Theory (3 hours lecture)
Historical development, paradoxes, ordered sets, SchroderBernstein theorem, axiom of choice, transfinite induction, cardinal and ordinal numbers. 3 sh.
Prerequisites: MATH 222 and permission of graduate program coordinator.
MATH521: Real Variables I (3 hours lecture)
Real number system, Lebesgue measure and integration, differentiation, Fourier series, LP, metric, normed vector, Banach and Hilbert spaces. 3 sh.
Prerequisites: MATH 426 and permission of graduate program coordinator.
MATH522: Real Variables II (3 hours lecture)
Real number system, Lebesgue measure and integration, differentiation, Fourier series, LP, metric, normed vector, Banach and Hilbert spaces. 3 sh.
Prerequisites: MATH 521, permission of graduate program coordinator.
MATH525: Complex Variables I (3 hours lecture)
Integration and differentiation in the complex domain, Cauchy's theorem, Cauchy's integral formula, Laurent expansion, residues, elements of conformal mapping, series and product representations. 3 sh.
Prerequisites: MATH 426 and permission of graduate program coordinator.
MATH526: Complex Variables II (3 hours lecture)
Integration and differentiation in the complex domain, Cauchy's theorem, Cauchy's integral formula, Laurent expansion, residues, elements of conformal mapping, series and product representations. 3 sh.
Prerequisites: MATH 525, permission of graduate program coordinator.
MATH530: Mathematical Computing (3 hours lecture)
Introduction to mathematical computing techniques using a computer algebra system and algorithmic approach to solving mathematical problems. Mathematical applications taken from various areas of mathematics, the sciences, engineering, and business. 3 sh.
Prerequisites: Permission of the graduate program coordinator or consent of the instructor.
MATH531: Abstract Algebra I (3 hours lecture)
Basic algebraic structures including groups, rings, fields, modules and lattices. 3 sh.
Prerequisites: MATH 431 and permission of graduate program coordinator.
MATH532: Abstract Algebra II (3 hours lecture)
Basic algebraic structures including groups, rings, fields, modules and lattices. 3 sh.
Prerequisites: MATH 531, permission of graduate program coordinator.
MATH535: Linear Algebra I (3 hours lecture)
Vector spaces and linear transformations, including inner product, matrix representations, binary and quadratic forms, eigenvectors, canonical forms, and functions of matrices. 3 sh.
Prerequisites: MATH 335 and permission of graduate program coordinator.
MATH536: Linear Algebra II (3 hours lecture)
Vector spaces and linear transformations, including inner product, matrix representations, binary and quadratic forms, eigenvectors, canonical forms, and functions of matrices. 3 sh.
Prerequisites: MATH 535, permission of graduate program coordinator.
MATH537: Mathematical Logic (3 hours lecture)
Propositional and predicate calculus, model theory, Godel's completeness theorems and decidability. 3 sh.
Prerequisites: MATH 425 and permission of graduate program coordinator.
MATH540: Probability (3 hours lecture)
Sample spaces and events, combinatorial analysis, conditional probability and stochastic independence, random variables and probability distributions, expected value and variance, probability generating functions, continuous random variables. 3 sh.
Prerequisites: MATH 340 and permission of graduate program coordinator.
MATH551: Topology (3 hours lecture)
Basic pointset topology, topological spaces, homeomorphisms, compactness, connectedness, separation properties, uniformities, metrizability, introductory algebraic topology, homology groups and homotopy. 3 sh.
Prerequisites: MATH 425, and permission of graduate program coordinator.
MATH554: Projective Geometry (3 hours lecture)
Projective planes and spaces are studied by synthetic and analytic approaches. Topics covered include the theorems of Desargues and Pappus, harmonic sequences, projectivities, coordinatization, finite planes, and conics. 3 sh.
Prerequisites: MATH 335 and permission of graduate program coordinator.
MATH555: Differential Geometry (3 hours lecture)
Application of vectors to the study of classical threedimensional geometry. Topics include: plane and space curves, first and second fundamental forms, lines of curvature, asymptotic lines, geodesics. 3 sh.
Prerequisites: MATH 222 and permission of graduate program coordinator.
MATH560: Numerical Analysis (3 hours lecture)
Error analysis, interpolation and approximation theory, numerical solution of linear and nonlinear equations, numerical differentiation and integration, numerical solution of differential equations. 3 sh.
Prerequisites: MATH 335, and permission of graduate program coordinator.
MATH564: Ordinary Differential Equation (3 hours lecture)
Linear and nonlinear equations, Green's functions, power series solutions, autonomous systems, existence and uniqueness, singularities, SturmLiouville systems. 3 sh.
Prerequisites: MATH 335, and 420, and permission of graduate program coordinator.
MATH566: Partial Differential Equations (3 hours lecture)
First order equations, separation of variables, series solutions, hyperbolic, parabolic and elliptic equations, characteristics, transform methods. 3 sh.
Prerequisites: MATH 335, and 420, and permission of graduate program coordinator.
MATH568: Applied Mathematics: Continuous (3 hours lecture)
Formulation, manipulation and evaluation of mathematical models of continuous systems. Topics selected from: conservation principles and the classical equations of mathematical physics, applications of the qualitative and quantitative theory of ordinary and partial differential equations, optimization, calculus of variations, stability theory, stochastic models. 3 sh.
Prerequisites: MATH 335, and 340, and 420, and 425, and permission of graduate program coordinator.
MATH569: Applied Mathematics: Discrete (3 hours lecture)
Introduction to the basic ideas of discrete mathematics and its applications. Counting principles, permutations, combinations, algorithms, complexity, graphs, trees, searching and sorting, recurrence relations, generating functions, inclusionexclusion, the pigeonhole principle, chromatic number, eulerian chains and paths, hamiltonian chains and paths, flows in networks, finite Markov chains. 3 sh.
Prerequisites: MATH 335, and 340, and 425, and permission of graduate program coordinator.
MATH570: Administration and Supervision of Mathematics (3 hours lecture)
Problems of organization, administration and supervision in the mathematics program of the school. Functions, duties and qualifications of the supervisor investigated. Current problems and research findings. 3 sh.
Prerequisites: Permission of graduate program coordinator.
MATH571: Curriculum Construction in Mathematics (3 hours lecture)
Contemporary proposals for the mathematics of grades K through 12. Consideration is given to the problem of implementation of current recommendations. Examination is made of mathematical concepts underlying various programs. 3 sh.
Prerequisites: Permission of graduate program coordinator.
MATH572: Contemporary Teaching of Mathematics (3 hours lecture)
Pedagogy, resources, and research related to the teaching of standardsbased mathematics in grades 612. Emphasis is on creating studentcentered 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 (3 hours lecture)
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 studentmade 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 (3 hours lecture)
Psychology and techniques of problemsolving. 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 (3 hours lecture)
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.
MATH576: Research Seminar in Mathematics Education (3 hours seminar)
Designed for matriculated graduate students in the mathematics education program. Students survey and analyze recent research projects. 3 sh.
Prerequisites: Permission of graduate program coordinator.
MATH577: Mathematics Education in the Elementary School (3 hours lecture)
The contemporary mathematics curriculum of the elementary and middle school. The role of behavioral objectives and learning theory in curriculum development/teacher training. Related research findings. 3 sh.
Prerequisites: Permission of graduate program coordinator.
MATH578: Special Topics in Mathematics Education (3 hours lecture)
Topics may be selected from areas such as assessment, cooperative learning, elementary education, fractals, graphing calculators, NCTM Standards, and other special areas of interest to mathematics educators. May be repeated once for a maximum of 6.0 credits as long as the topic is different. 3 sh.
Prerequisites: Permission of graduate program coordinator.
MATH579: Approaching School Mathematics Through Applications (3 hours lecture)
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.
MATH580: Combinatorial Mathematics (3 hours lecture)
Arrangements and selections, binomial coefficients, Stirling numbers, generating functions, recurrence relations, inclusionexclusion, Polya enumeration formula, combinatorial graph theory, combinatorial geometries. 3 sh.
Prerequisites: MATH 222 and graduate program coordinator's permission.
MATH581: Graph Theory (3 hours lecture)
Graphs, digraphs, and trees. Connectivity, separability, planarity, and colorability. Cliques, independent sets, matchings, flows and tours. Graphs as mathematical models; graph algorithms. 3 sh.
Prerequisites: MATH 222, and 335, and graduate program coordinator's permission.
MATH584: Operations Research (3 hours lecture)
An indepth study of one or at most two topics in operations research, selected from linear programming and game theory, linear and nonlinear programming, queuing theory, inventory theory, simulation models. 3 sh.
Prerequisites: MATH 425 and STAT 440 and permission of graduate program coordinator.
MATH590: Advanced Topics (3 hours lecture)
An indepth study of a topic or topics selected from areas such as algebra, analysis, geometry, probability and statistics, and applied mathematics, with special emphasis upon recent developments in the field. May be repeated once for a maximum of 6.0 credits as long as the topic is different. 3 sh.
Prerequisites: Graduate program coordinator's permission.
MATH591: Applied Industrial Mathematics (3 hours lecture)
Formulation, modeling, and solution of mathematical problems from engineering, science and business. Topics include statistical distributions, Monte Carlo method, function fitting, transforms optimization, regression analysis, costbenefit analysis, ordinary differential equations, partial differential equations, numerical methods, divided differences, splines, Galerkin's method, and finite elements. 3 sh.
Prerequisites: MATH 335, MATH 425, MATH 530, STAT 440 or permission of graduate program coordinator.
MATH595: Seminar (14 hours seminar)
Guided study of selected topics in major field of interest. May be repeated once for a maximum of 6.0 credits as long as the topic is different. 1  4 sh.
Prerequisites: Graduate program coordinator's permission.
MATH611: Leadership Development in Mathematics Education (3 hours lecture)
Students gain experience in recognizing, acquiring, and applying key leadership characteristics in the field of mathematics education at the middle and high school grades. Specific attention is given to how teachers become stewards of best practices and active educational change agents in their schools and community and through professional development and involvement. 3 sh.
Prerequisites: Acceptance in the master's program in Teaching Middle Grades Mathematics and permission of the graduate program coordinator.
SPED584: Assessment and Evaluation in the Inclusive Classroom
This course is designed to be an introduction for preservice teachers in the field of Special Education assessment and accountability. The course will introduce students to elements of traditional assessment, including record keeping, grading, objective and essay testing, theories of validity as well as authentic, performance, and portfolio assessment. The keeping of anecdotal records, inclusion, heterogeneous groups, and accommodations will also be components of this course. 2  3 sh.
Prerequisites: SPED 579. 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).
SPED585: Technology for Inclusive Classrooms
The course is designed to provide educators with an understanding of how to use technology as a seamless part of the teaching and learning experience for students with disabilities in inclusive settings. Two main purposes for students with disabilities will be emphasized. Teachers will learn how to provide access to the curriculum for students with disabilities by using the principles of Universal Design for Learning as a framework for curriculum design. They will learn how to utilize technology to meet the unique needs of students with disabilities in order for them to attain maximum independence and participation in all environments. 2  3 sh.
Prerequisites: SPED 579. 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).
SPED586: Transition Services for Students with Disabilities (3 hours lecture)
This course will focus on a ResearchBased and TeacherTested Support Model for planning and implementing transition services for students with disabilities. Successful transition services will allow students to build the bridges toward becoming independent self advocates with the insights, skills, knowledge, and learning techniques for successful transition from school to adult life. 3 sh.
Prerequisites: SPED 579. 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).
SPED591: Teaching Organization and Study Skills for the Inclusive Classroom. Students must be enrolled in a Master of Arts in Teaching (MAT), Instructional Teaching Certificate (CRI) or Master of Education (MED) (3 hours lecture)
In this course, future and practicing teachers who work with students with disabilities in middle and secondary school learn how to enable those students to become more effective learners so they can have greater access to the general education curriculum. Increased inclusion has led to higher expectations for students with disabilities and the need to meet the more rigorous demands of the general education classroom. This requires study and organization skills, wich students with disabilities often lack as a result of the impact of their disability. In this course, teachers become familiar with researchbased study and organization strategies as well as effective instructional methods for systematic and explicit instruction to teach these strategies. Through these strategies, they can help students compensate for their disability characteristics and become more independent, engaged learners. 2  3 sh.
Prerequisites: SPED 469, SPED 568 or SPED 587. 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).
SPED691: Issues, Policies and Trends in Inclusive Education (3 hours lecture)
The culminating experience for the BA/MAT Dual Certification programs, this course focuses on policies, issues, and trends related to the education of students in inclusive settings. Relevant sociological and cultural persepctives focused on the social construction of dis/ability are examined as well as their implications for the schools. Students synthesize, analyze, and evaluate issues of relevance to inclusive education that will impact their professional careers as teachers in inclusive environments and the future of inclusive education. Students also conduct an empirical research project on inclusion. 3 sh.
Prerequisites: Completion of 12 Graduate credits in the program. 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).