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Mathematics, Science & Technology
Teachers College, Columbia University
Teachers College
Columbia University

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O. Roger Anderson

Science Education


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Mathematics Education



Charles Kinzer

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Course Listing

Course Listing

Please check the Class Schedule or contact the center for specific course availability for each semester:

Center Courses:

MSTU 4000 Core seminar in communication, computing and technology
Required for incoming students. Meets with MSTU 6600. Discussion of critical issues, reading of key works, development of project in Communication, Computing, and Technology in Education, presentation of work in progress, conversations with leaders in the field. Special fee: $30.
Instructor: Lalitha Vasudevan

MSTU 4008 Information technology and education
Analytic overview of the uses of information technology in instruction. Examination of psychological and practical impact of information technology on our culture and its educational institutions. Special fee: $30.

MSTU 4010 Theories of communication
A broad, multidisciplinary survey of contemporary perspectives on communication. Topics include: definitions, models and theories of information processing, history of media change, cross-cultural communication, interpersonal communication, and the uses and effects of mass media. Special fee: $35.
Instructor: Frank Moretti

MSTU 4012 Film as art: Introductory
Film as 20th century art, emphasizing form and style. Analysis of feature-length and short films of different nations, styles, themes, and genres. No previous experience in film analysis needed. Special fee: $45.

MSTU 4016 The history of communication
A comprehensive survey of the history of communication, tracing the development of the dominant modes of transmitting knowledge, from speaking to writing, from printing to the electronic media. Special fee: $35.
Instructor: Frank Moretti

MSTU 4018 Design and communication in modern culture
How have practices of abstract reasoning, the pursuit of formalism, and conceptualizing the structure of complex phenomena affected modern design and communication? Readings and class discussions explore this question, using examples drawn from architecture, fine art, graphics, typography, photography, advertising, industrial design, formal organization, process control, transportation, information theory and management, and major media of communication. Special fee: $35.

MSTU 4022 Telecommunications, distance learning, and collaborative interchange
Introduction to the use and educational implications of telecommunica-tions, distance learning, and collaborative interchange using telecommunications, particularly the internet and the World Wide Web. Special fee: $35.
Instructor: Thane Terrill

MSTU 4023 Cinema as cross-cultural communication
Analyzes how films explore culture. Discussion of the film as well as the cultural messages portrayed. Special fee: $45.

MSTU 4024 Television and the Development Of Youth
A comprehensive survey of the socializing and educational effects of television viewing during childhood and adolescence. Within a developmental framework, emphasis is placed on reviewing and critiquing research involving the effects of both formal features of television (e.g., cuts, pans, pace) and the various types of television programs on viewers’ comprehension, behavior, attitudes, and beliefs. Special fee: $45.

MSTU 4030 Computer applications in education
Hands-on experience learning a variety of computer applications, focusing primarily on word processors, spreadsheets, and database managing. Students create their own educational applications. No computer background assumed. Special fee: $45.

MSTU 4031 Programming I
Communicating with computers and humans through programs. Uses a graphic language to formalize the concepts behind software structure and a current, widely used implementation language such as Java to construct representative applications. Co-requisite: MSTU 4032. Special fee: $45.

MSTU 4035 The computer as an instructional aid
A presentation of research and issues surrounding the use of computing in schooling. Cognitive and social effects of computers on students are investigated and strategies are developed for integrating computing into the curriculum. Special fee: $30.

MSTU 4036 Hypermedia and education
Introduction to hypermedia products and programming and their role in education. Four-point registration is for hypermedia programming lab. Special fee: $45.
Instructor: Craig Bolotin

MSTU 4037 Computers and the uses of information in education
This course examines how computers can structure and present information, evaluates current educational software that uses information, and considers the design of software for integrating information applications into education. Prerequisite: MSTU 4030 or equivalent computer experience. Special fee: $45.
Instructor: Howard Budin

MSTU 4049 Technologies and literacies
An examination of the relationship between computers and the writing process. The course explores the effect of electronic text on traditional notions of text, literacy, and communication. Assumes no computing experience. Lab fee: $30.
Instructor: JoAnne Kleifgen

MSTU 4052 Computers, problem solving, and cooperative learning
Considers how computers may be used to promote cooperative learning in problem solving for students throughout the curriculum, focusing on the use of simulations, databases, programming, and problem solving software. Course content will include active participation in cooperative learning using computers as well as background work in educational theory as it relates to problem solving and cooperative learning. Special fee: $30.
Instructor: Howard Budin

MSTU 4078 Technology and education in Western history
A historical inquiry into the educational implications of technological change, particularly as it has affected cultural values and the capacities to organize action and communicate ideas. Special fee: $30.

MSTU 4080 Television and video applications in education
The role of media literacy is explored as a means to understand our popular culture and foster critical autonomy in young people. Emphasis is placed on critiquing educational television programs and video and using them effectively in the classroom. Special fee: $35.

MSTU 4083 Instructional design of educational technology
The nature of instructional technology, systems approaches to planning, managing, and evaluating instructional processes and materials. Emphasis is on instructional design. Special fee: $45.
Instructor: Xiaodong Lin

MSTU 4085 New technologies for learning
A survey of technologies such as multimedia and telecommunications applied to learning and research, with full demonstrations and critical discussion by experts. Includes discussion of implications for educational change. Special fee: $35.
Instructor: Robert Taylor

MSTU 4086 Text understanding and design
Explores ideas about how people understand textual materials and learn from them; then applies these ideas to the design of instructional text. Students design instructional materials for topics of interest to them. Special fee: $35.

MSTU 4133 Cognition and Computers
This course explores ideas about cognition and knowledge representation and how they relate to the use of computers in instruction. Students select a subject area, learn to represent knowledge from it so that it can be implemented in a computer instructional system, and use the knowledge representation to characterize the cognitive prerequisites and consequences of learning to use computers. Special fee: $45.
Instructor: John Black

MSTU 4134 Cognition and Computers:Lab
Permission required. Corequisite: MSTU 4133. Special fee: $25.
Instructor: Xin Bai

MSTU 4802 Cmptrs:Teach Prblm-Slvng/Thnkg

Instructor: Howard Budin

MSTU 4817 Technology & School Restructng

MSTU 4818 Women & Technology: Schools

Instructor: Howard Budin

MSTU 4829 Intergrating WWW Std-Based Cur

MSTU 4830 Eval Internet as an Ed Resourc

MSTU 4831 Design Educ Activites Internet

MSTU 4832 Publishng Web as Educ Activity

Instructor: Alyson Vogel

MSTU 4833 Integrat Web Publish Class Cur

MSTU 4838 Computers and Young Children

MSTU 4842 Models Cooperatv Lrng-Computer

MSTU 4860 Managing Your School's Network

MSTU 4861 Commercial Sftwre Enhance Curr

MSTU 4862 Software Applic Clssrm Purpose

MSTU 4863 Using Computrs HumanitiesK-5 I

MSTU 4864 Lrng Technologies Sci Curr K-5

MSTU 4865 Lrng Technol Humanities Curric

MSTU 4866 Lrng Technol & Math Curric6-12

MSTU 4867 Using ComputrsHumanities9-12 I

MSTU 4868 Using Computrs Math/Sci 9-12 I

MSTU 4869 Info Services I:Devel IS Strat

MSTU 4870 Info Services II:Intranet

MSTU 4871 Electronic Mail I:Tech Implemt

MSTU 4872 Electronic Mail as an Edu Tool

MSTU 4873 Using Computrs HumantiesK-5 II

MSTU 4874 Using Computrs Humanits:6-8 II

MSTU 4875 Using Computrs Humanits9-12 II

MSTU 4876 Using Computrs Math/Sci K-5 II

MSTU 4877 Using Computrs Math/Sci 6-8 II

MSTU 4878 Using Computrs Math/Sci9-12 II

MSTU 4879 Creating Tech Plan for School

MSTU 4901 Research and Independent Study
Permission required. For master's students only. Students propose a program of independent research or project development to a faculty member. Students in their first term of study are generally not accepted. Conference hours are arranged.
Instructor: Howard Budin

MSTU 4902 Research and Independent Study
Permission required. For master's students only. Students propose a program of independent research or project development to a faculty member. Students in their first term of study are generally not accepted. Conference hours are arranged.
Instructor: Howard Budin

MSTU 4903 Research and independent study
Permission required. For master's students only. Students propose a program of independent research or project development to a faculty member. Students in their first term of study are generally not accepted. Conference hours are arranged.

MSTU 4904 Research and Independent Study
Permission required. For master's students only. Students propose a program of independent research or project development to a faculty member. Students in their first term of study are generally not accepted. Conference hours are arranged.

MSTU 5003 Communication and culture
Introduction to major theories of human communication and culture as they relate to and build upon each other.

MSTU 5020 Computer mediated communication
Analyzes characteristics of such computer-mediated communication systems as networked multimedia, electronic mail, bulletin boards, and computer conferencing and situates these systems in the context of the emerging national information infrastructure. Students will participate in online communication systems. Special fee: $35.
Instructor: Brenda Lopez Ortiz

MSTU 5030 Intelligent computer-assisted instruction
Prerequisite: MSTU 4133. Participants study ideas about the representation of knowledge, models of the learner, and teaching strategies that have been developed in artificial intelligence and cognitive psychology, as well as develop and test intelligent computer-assisted instruction materials for topics of interest. Special fee: $35.
Instructor: Xin Bai

MSTU 5031 Programming II
Prerequisite: MSTU 4031 or a solid basic knowledge of programming. Applies programming to significant problems using Java or C++ to construct salient applications. Special fee: $45.

MSTU 5191 Educational Video Production I
Practical studio and field production experience of educational video programs, with special concern for realizing educational purposes through directing, scripting, staging, camera operation, lighting, and sound design. Special fee: $50.
Instructor: Mario Riccobon

MSTU 5192 Educational Video Production II
Permission required. Practical studio and field production experience of educational video programs, with special concern for realizing educational purposes through directing, scripting, staging, camera operation, lighting, and sound design. Special fee: $50.
Instructor: Mario Riccobon

MSTU 5194 Models of human-computer interaction
This course explores the psychological and educational literature on human-computer interaction and learning. What is the role of human-computer interaction in learning and teaching with new educational technologies? What are the key formats and attributes of human-computer interaction with electronic media? These and other questions are studied by discussing current theory and research and by evaluating state-of-the-art media projects. Special fee: $35.

MSTU 5201 Fieldwork
Permission required. Opportunity for qualified students, individually or in small groups, to develop and pursue projects in schools, community agencies, business organizations, and communication facilities. Stu-dents in their first term of study are generally not accepted. Conference hours are arranged.
Instructor: John Black

MSTU 5202 Fieldwork
Permission required. Opportunity for qualified students, individually or in small groups, to develop and pursue projects in schools, community agencies, business organizations and communication facilities. Students in their first term of study are generally not accepted. Conference hours are arranged.
Instructor: Howard Budin

MSTU 5203 Fieldwork
Permission required. Opportunity for qualified students, individually or in small groups, to develop and pursue projects in schools, community agencies, business organizations and communication facilities. Students in their first term of study are generally not accepted. Conference hours are arranged.

MSTU 5204 Fieldwork
Permission required. Opportunity for qualified students, individually or in small groups, to develop and pursue projects in schools, community agencies, business organizations and communication facilities. Students in their first term of study are generally not accepted. Conference hours are arranged.

MSTU 5510 Topical seminar
Permission required. Periodically under this course number, various faculty and staff members offer courses on important topics in communica-tion, computing, or instructional technology and media which will be announced at least one semester in advance. Topics may vary each semester and may include any of the following: art, music, and technology; their symbiotic interplay; assessing the impact of technology in our schools; database driven website development; educational technology research; gender, communication, and digital technology; media and education; research metho-dologies; social and emotional learning and digital technology; technology and school change; technology, education, and public policy; technology, inquiry, and culture; writing technology. Special fee: $30-50.
Instructor: Paul Acquaro

MSTU 5555 Technology and the emergence of a global curriculum
This course deals with the impact of technology on human society over the ages, how technology in particular is shaped by, and in turn shapes, the vision informing a specific culture and its curriculum, and how the global sharing of technology is inexorably contributing to the emergence of a common global curriculum. Uses its own website, www.tc.columbia.edu/~global. Special fee: $35.
Instructor: Robert Taylor

MSTU 5814 Work conference
Permission required. Occasional brief conferences convened by Communication, Computing, and Technology on subjects of special interest. special fee: 35$
Instructor: Brenda Lopez Ortiz

MSTU 6030 Evaluating technology in education
Limited enrollment. Introduces a range of evaluative instruments and techniques and applies them, through student teams, to a representative instructional software and to technology-based educational innovations. Special fee: $25.

MSTU 6031 Multimedia educational projects
Permission required. Team approach to developing computer-based educational software using hypermedia, authoring languages, and programming languages. Some background in instructional design recommended. Special fee: $50.
Instructor: Robert Taylor

MSTU 6201 Advanced Fieldwork
Permission required. Extended opportunities for students who have completed MSTU 5200.
Instructor: John Black

MSTU 6202 Advanced Fieldwork
Permission required. Extended opportunities for students who have completed MSTU 5200.

MSTU 6203 Advanced Fieldwork
Permission required. Extended opportunities for students who have completed MSTU 5200.

MSTU 6204 Advanced Fieldwork
Permission required. Extended opportunities for students who have completed MSTU 5200.

MSTU 6401 Internship
Permission required. Prerequisite: basic courses in the student’s specialization, evidence of competence in the internship area, and prior arrangement with cooperating institution. Internship in schools, colleges, Teachers College facilities such as the Microcomputer Resource Center, community agencies, business organizations, and communication facilities. Students in their first term of study are generally not accepted.
Instructor: John Black

MSTU 6402 Internship
Permission required. Prerequisite: basic courses in the student’s specialization, evidence of competence in the internship area, and prior arrangement with cooperating institution. Internship in schools, colleges, Teachers College facilities such as the Microcomputer Resource Center, community agencies, business organizations, and communication facilities. Students in their first term of study are generally not accepted.

MSTU 6403 Internship
Permission required. Prerequisite: basic courses in the student’s specialization, evidence of competence in the internship area, and prior arrangement with cooperating institution. Internship in schools, colleges, Teachers College facilities such as the Microcomputer Resource Center, community agencies, business organizations, and communication facilities. Students in their first term of study are generally not accepted.

MSTU 6404 Internship
Permission required. Prerequisite: basic courses in the student’s specialization, evidence of competence in the internship area, and prior arrangement with cooperating institution. Internship in schools, colleges, Teachers College facilities such as the Microcomputer Resource Center, community agencies, business organizations, and communication facilities. Students in their first term of study are generally not accepted.

MSTU 6532 Seminar in cognitive science
Permission required. In-depth discussion and critique of research proposed and conducted by others and by students in the class. Topics vary from term to term. Course is for advanced students who are designing and conducting their own research projects; they may take the course as many times as they like. Special fee: $45.
Instructor: Xiaodong Lin

MSTU 6600 Colloquium in Communication, Computing, and Technology in Education
Continuous participa-tion required of certified doctoral students. Discussion of critical issues, reading of key works, formal proposal of dissertation topics, presentation of work in progress, conversations with leaders in the field. Special fee: $30.
Instructor: Charles Kinzer

MSTU 6901 Research and independent study in communication, computing, and technology in education
Permission required. For doctoral students only. The participating student will propose a program of independent research or project development to a faculty member. Students in their first term of study are generally not accepted.
Instructor: Howard Budin

MSTU 6902 Research and independent study in Communication, Computing, and Technology in Education
Permission required. For doctoral students only. The participating student will propose a program of independent research or project development to a faculty member. Students in their first term of study are generally not accepted.

MSTU 6903 Research and independent study in communication, computing, and technology in education
Permission required. For doctoral students only. The participating student will propose a program of independent research or project development to a faculty member. Students in their first term of study are generally not accepted.

MSTU 6904 Research and independent study in communication, computing, and technology in education
Permission required. For doctoral students only. The participating student will propose a program of independent research or project development to a faculty member. Students in their first term of study are generally not accepted.

MSTU 7501 Dissertation seminar
Permission required. Presentation of dissertation proposal for approval by a sponsoring committee. Student arranges one two-hour meeting with his or her sponsoring committee.
Instructor: Howard Budin

MSTU 7502 Dissertation seminar
Permission required. Presentation of dissertation proposal for approval by a sponsoring committee. Student arranges one two-hour meeting with his or her sponsoring committee.

MSTU 7503 Dissertation seminar
Permission required. Presentation of dissertation proposal for approval by a sponsoring committee. Student arranges one two-hour meeting with his or her sponsoring committee.

MSTU 7504 Dissertation seminar
Permission required. Presentation of dissertation proposal for approval by a sponsoring committee. Student arranges one two-hour meeting with his or her sponsoring committee.

MSTU 8900 Dissertation advisement
Advisement on doctoral dissertations. Fee to equal 3 points at current tuition rate for each term. See section in this bulletin on Continuous Registration for Ed.D. degree.
Instructor: Howard Budin

Other Courses:

MSTC 4000 Science in secondary school
Foundations of science education. Planning, assessment, and management of instruction. Required of initial science students.
Instructor: Christopher Emdin

MSTM 4005 Teaching mathematics in diverse cultures
Principles, techniques, and issues in the teaching of mathematics in other cultural and national settings. Study tour of schools and institutions in
Instructor: Alexander Karp

MSTC 4007 Urban and multicultural science education
Students will explore the intersections of policy, science and society and the impact these have on standard K-12 urban science curriculum and multicultural teaching practices. Drawing from scholarship in policy, curriculum, and teaching, this course explores major issues faced in urban science education, including: (1) the issue of resources (physical, human, and social) in urban schools and how urban science education programs might draw from local resources in meeting the needs of urban learners, (2) the issue of what roles might teachers, administrators, policy makers, and curriculum writers play in the design and implementation of empowering curricular and pedagogical practices in urban science classrooms, and (3) the issue of multicultural science education in terms of both content and pedagogy. This course challenges commonly used practices where multiculturalism is often taught as one distinct and often separate component of the science curriculum. This course provides students with both research-based and field-based experiences.
Instructor: Christopher Emdin

MSTC 4008 Urban Science Education II
MSTC 4008 will continue and draw on discussions begun in Urban Science Education I (MSTC 4007). This course will use cultural lenses and community perspectives to explore challenges and successes in teaching science well with students in public urban settings. We will explore the issues involved in public school science education, from school and classroom vantage points, and practices that represent the best of what we know about science teaching and learning, and how these play themselves out in urban education environments.

MSTM 4019 Mathematics teaching and learning I
Cognitive development and learning strategies for teaching and the use of instructional materials. Current research in mathematics education. Required for pre-service students.

MSTM 4020 Mathematics teaching and learning II
Historical/comparative study of mathematical education programs in the United States and abroad. Current research in mathematics education.

MSTM 4023 Mathematics for exceptional students
Content, methods, and instructional models for teaching exceptional students, including LED, LD, and MT students.

MSTM 4025 Teaching computer mathematics
A review of teaching methods and curricular innovations in computing and computer mathematics.

MSTM 4026 Teaching applied mathematics
The role of applications in mathematics curriculum. Mathematical models, use of calculators and computers. Applications in the natural and social sciences.

MSTM 4031 Number theory
Primes, composites, divisibility and factorization, congruence, historical topics.
Instructor: Erica Walker

MSTM 4032 Mathematical models in the behavioral sciences
Design and development of mathematical models of human behavior, including social, political, management, and defense models.

MSTM 4036 Discrete mathematics
Discrete mathematics, combinatorics, graph theory.

MSTM 4037 Computer graphics
Transformations, scaling, clipping, windowing, and hidden line algorithms. Software development for applications to mathematics and science education.

MSTM 4038 Finite mathematics
Statements, propositions, and sets; vectors and matrices; probability. Applications: finite Markov chains, game theory.
Instructor: Alexander Karp

MSTM 4039 Mathematical foundations of programming
Logic, Boolean algebra, switching circuits, Turing machines and computability.

MSTC 4040 Science in childhood education
This is an integrated lecture/laboratory course. This course provides an introduction to the creation of science curriculum and instruction that attends to current state and national standards. The course is based in constructivist perspectives and has as a goal the teaching of science well with all children.
Instructor: Janell Catlin

MSTC 4042 Multicultural science education as content and pedagogy
In this course students will explore multicultural science education in terms of both content and pedagogy. One of the most significant problems with bringing multiculturalism into the science classroom is that it is often taught as one distinct and often separate component of the science curriculum. This course challenges this commonly used practice. The course will explore the intersections of science and society and the impact this has on standard K–12 science curriculum and teaching practices.

MSTC 4043 Science in the environment
Exploration of environmental science from an earth physiology perspective. Focus on connections between contemporary environmental issues and environmental science concepts. A community study utilizing scientific inquiry procedures and applying pertinent environmental science concepts will be conducted.

MSTC 4044 Biology methods and curriculum laboratory
Theoretical basis of secondary school science education and its practical application to biology teaching and laboratory experiences.
Instructor: Thomas Covotsos

MSTC 4046 Chemistry curriculum and methods laboratory
Individualized work with secondary chemistry curricula, stressing laboratory activity.

MSTC 4047 Physical science curriculum and methods laboratory
Discussion of middle or secondary school curricula each offered in separate semesters, stressing laboratory activity. May be taken twice, once for each grade level.
Instructor: Christopher Emdin

MSTC 4048 Structure of science knowledge and curriculum design
Analysis of the organization of and relationships between concepts, laws, and theories in the life and physical sciences, using a variety of analytical techniques suitable for curriculum design.

MSTC 4051 Microbial Ecology
The physiological ecology and life history of free-living and parasitic protista.
Instructor: O. Roger Anderson

MSTC 4052 Plant biology
Introduction to plant physiological ecology with an emphasis on global systems. Laboratory sessions to be announced.

MSTC 4053 Plant biology II
Prerequisite MSTC 4052 or equivalent. Major organizing principles and experimental evidence in plant physiological ecology including laboratory investigations suitable for secondary school and college curricula.

MSTC 4054 Human anatomy and physiology
Prerequisite: A basic biology course. A survey of major organ systems and their physiology. Suitable for a wide variety of professionals in physical education, nursing, health, nutrition, and science.

MSTC 4056 Concepts in earth science
Study of models of our planet, Earth in space, and weather and climate.
Instructor: Ann Rivet

MSTC 4057 Concepts in earth science II
Study of earth materials and processes shaping the surface, interior, and geologic history of the Earth.

MSTC 4059 Concepts in chemistry I
Prerequisite: one year of college chemistry. The growth of, and change in, the major concepts of the science of chemistry are explored, from the Greek philosophers to the alchemists to those of modern chemistry. Concepts explored: chemical composition and the elements; chemical change, the acids, activity; the nature of matter; and the structure of the atom and bonding.

MSTC 4060 Concepts in chemistry II
Prerequisite: MSTC 4059 or instructor permission. The historical development of selected chemical concepts are examined with respect to the arguments developed in their support, with the intent that current meanings will be elucidated in the process.

MSTC 4075 Concepts in physics I
Exploration of physics themes of molecules and molecular kinetic theory, heat, mechanics, waves, electricity and magnetism, and modern physics. Of particular interest to introductory physics, physical science, and general science teachers.

MSTC 4076 Concepts in Physics II
Exploration of electricity, magnetism, light, optics, quantum mechanics, and selected topics in atomic, nuclear, elementary particle physics and astrophysics.

MSTC 4151 Modern principles of evolution
Interdisciplinary study of scientific theories about origin and evolution of life on earth. Includes demonstration and laboratory experiments.

MSTC 4152 Modern Concepts in Genetics
A survey of modern principles of genetics, including molecular genetics, behavioral genetics, and relationship to Mendelian genetics.

MSTC 4153 Invertebrate Biology
A survey of major invertebrate groups, including phylogeny, morphology, and ecology, with examples suitable for biological education.

MSTC 4363 Introduction to science education practice
Corequisite: MSTC 4000. Directed field experiences and seminars explore school environments and teaching strategies.

MSTM 4760 Student teaching in mathematics
Permission required. Prerequisite: MSTM 5011. Open only to students enrolled in the pre-service program. Students do supervised teaching in metropolitan area schools.
Instructor: Stuart Weinberg

MSTC 4761 Student teaching in science
Permission required. Prerequisites: MSTC 4000 and MSTC 4363. Students do supervised teaching in metropolitan area schools.

MSTC 4803 TV:Medium For Math/Science Ed

MSTM 4820 Basic Java Programming I
An intensive course in Java Programming including classroom applications.

MSTM 4821 Basic Java programming II
An intensive course in Java Programming including classroom applications.

MSTM 4827 C++ programming workshop
Types, operators, and expressions in C++. Functions, program structure. Pointers, arrays, classes and objects.

MSTC 4852 Informal Science Education
Study of museums.

MSTM 4901 Guided study in mathematics education
Permission required from the instructor with whom the student wishes to work. Independent study in selected areas.
Instructor: Stuart Weinberg

MSTC 4902 Guided study in science education
Permission required from the instructor with whom the student wishes to work. Independent study in selected areas. Use of professional laboratory facilities.
Instructor: O. Roger Anderson

MSTC 5000 Neurobiology of consciousness, constructivism, and information processing
See the Department of Mathematics, Science and Technology for course description.

MSTC 5010 Mathematics in the elementary school
No description available at this time.
Instructor: Bruce Vogeli

MSTM 5010 Mathematics in the elementary school
Problems, issues, and methods in the teaching and supervision of elementary school mathematics.
Instructor: Erica Walker

MSTM 5011 Mathematics in the secondary school
Problems, issues, and methods in the teaching and supervision of secondary school mathematics. Includes field experiences. Required for preservice students.
Instructor: Stuart Weinberg

MSTM 5012 Mathematics in two- and four-year colleges
Problems, issues, and methods in the college teaching of mathematics.

MSTM 5020 Mathematics and multicultural education
Survey of mathematical topics and methods appropriate for multicultural and bilingual programs.
Instructor: Erica Walker

MSTM 5022 Mathematics curriculum development
Principles, strategies, and techniques for curriculum development and textbook preparation in mathematics.

MSTM 5023 Problem solving
Theories and methods of mathematical problem solving with applications to classroom instruction.

MSTM 5027 Numerical methods and computability
Number representation. Uncertainty and error. Numerical solution of algebraic equations and systems. Numerical calculus. Numerical solution of differential equations.

MSTM 5028 Data structures and algorithms
Data types and structures, stacks, queues, linked lists, trees, graphs, hashing; fundamental search/sort algorithms.

MSTM 5030 Topics in probability theory
Propositional and predicate calculi, set theory, axiomatics, order types, and the linear continuum.

MSTM 5031 Topics in the foundations of mathematics
Propositional and predicate calculi, set theory, axiomatics, order types, the linear continuum and Goedel's theorem.

MSTM 5032 Topics in geometry/ topology
Foundation of geometry/topology. Emphasis upon the relationship between topology and geometry and other mathematical areas.
Instructor: Alexander Karp

MSTM 5033 Topics in algebra
Groups, rings, fields. Doctoral students should register for MSTM 6033.

MSTM 5034 Topics in analysis
Real or complex functions and their properties. Doctoral students should register for MSTM 6034.

MSTM 5035 Mathematical models in the natural sciences
Simulation, information theory and coding, stochastic models, probabilistic systems, simple harmonic motion.
Instructor: Stuart Weinberg

MSTM 5037 History of mathematics
Historical development of major ideas in mathematics. Contributions of noteworthy mathematicians. Analysis of mathematical classics.

MSTM 5038 Topics in mathematical logic
Goedel's completion theorem, Church-Turing thesis, Goedel's incompleteness theorem.

MSTC 5040 Science curriculum improvement in the elementary school
This course provides an introduction to the creation of science curriculum and instruction that attends to current state and national standards at the elementary level.
Instructor: Felicia Moore

MSTC 5041 The nature and practice of science
This course is one of the required core courses in the science education doctoral and advanced masters programs. It is designed to help students develop an adequate Under-standing of the nature of science or of how science is practiced. In this course, through the analysis of a number of current issues and problems in science and the extensive use of case studies, students will address questions such as: What is science? What distinguishes science from other ways of knowing? What standards of evidence and scientific explanations, processes, and conventions are used in science? What philosophical, social, ethical, and historical perspectives are important in understanding the nature of science?

MSTC 5042 Science, Technology & Society
The nature and interrelationships of science, technology, and society as represented in policy and curriculum for education.

MSTC 5044 Selected topics and issues in science education
Permission required. A focus on special issues in science education (curriculum, instruction, assessment, research, or content) which changes from one semester to another, highlighted by current research and interest.
Instructor: Felicia Moore

MSTC 5046 Advanced chemistry methods and curriculum laboratory
Permission required. Prerequisite: MSTC 4046 or equivalent. Individualized work with advanced topics from secondary chemistry curricula, stressing laboratory activity.

MSTC 5048 Curriculum and pedagogy in science education
This course offers students in the science education doctoral and advanced master's programs the opportunity to ask fundamental questions about curriculum in multiple ways.
Instructor: Ann Rivet

MSTC 5052 Principles of Biochemistry
Major principles of biochemistry including biochemical reactions, pathways, enzyme catalysis and application of physical chemistry concepts such as energetics, redox potentials, standard free energy changes and kinetic theory to biologically significant chemical processes with relations to cellular biology.
Instructor: O. Roger Anderson

MSTC 5053 Biochemistry and cell biology
Prerequisite: organic chemistry. Autumn: Modern advances in biochemistry including molecular genetics and metabolic pathways. Spring: Specialized topics in biochemistry and cell biology. Additional lectures on advanced topics for 4th point.

MSTC 5055 Electron microscopy
Enrollment limited. An introduction to theory and practice in scanning and transmission electron microscopy.

MSTC 5058 Advanced topics in earth and environmental sciences
Permission required. Prerequisite: MSTC 4056, MSTC 4057, MSTC 4558, or equivalent. New concepts in geology, oceanography, and environmental sciences explored in lecture and laboratory setting. Occasional field trips.

MSTM 5061 Evaluation in mathematics education
Theories and methods of evaluating pupils and programs in the cognitive and affective domains.

MSTM 5126 Mathematical foundations of statistics
Prerequisite: MSTM 5030 or MSTM 6030. Estimation, hypothesis testing, and tests based on the chi-square distribution. The normal distribution and its applications. Analysis of variance and regression. Doctoral students should register for MSTM 6126.

MSTC 5152 Biochemistry and cell biology laboratory
Permission required. Recommended: MSTC 5052. Laboratory techniques used in biochemical cellular biology, emphasizing experiments that can be adapted for secondary school biology courses.

MSTM 5264 Guided supervision of student teaching in mathematics
Permission required. Open only to doctoral students. Guided field experience in supervising student teachers.

MSTC 5265 Guided supervision of student teaching in science
Permission required. Open only to doctoral students. Guided field experience in super-vising student teachers.

MSTM 5520 Seminar in the college teaching of mathematics
Current issues in under-graduate mathematics. Examination of relations between elementary and advanced mathematics.

MSTC 5552 Protozoan biology seminar
Prerequisite: MSTC 4051. Investigations of broad contemporary issues in protozoan biology, including cellular physiology, molecular biology, physiological ecology, nutrition, and behavior.

MSTM 5800 Mathematics colloquium
Lecture series featuring presentations by distinguished guest speakers.

MSTM 5801 Mathematics colloquium
Lecture series featuring presentations by distinguished guest speakers.

MSTM 5803 TV: Media for mathematics education
Examination of television and web-portrayals of mathematics for elementary, secondary, and college students and their teachers. Contributions by media experts from the Sesame Workshop, the Smithsonian Institute, and other prominent instutitions.

MSTM 6030 Advanced topics in probability theory
Open only to doctoral students. Emphasis on proof and advanced applications.

MSTM 6033 Advanced topics in algebra
Open only to doctoral students. Advanced study of groups, rings, and fields.

MSTM 6034 Advanced topics in analysis
Open only to doctoral students. Advanced study of real or complex functions.

MSTM 6126 Advanced topics in the mathematical foundations of statistics
Open only to doctoral students. Prerequisite: MSTM 5030 or MSTM 6030. Advanced topics including hypothesis testing, distribution theory, and analysis of variance and regression.

MSTM 6400 Internship in mathematics education
Permission required. Supervised intern service in a variety of field settings including classroom teaching at various levels, supervision, curriculum development, and inservice education.

MSTC 6401 Internship in science education
Permission required. Supervised intern service in a variety of field settings including classroom teaching at various levels, supervision, curriculum development, and inservice education.

MSTM 6500 Research seminar in mathematics education
Permission required. Research oriented seminars dealing with a variety of issues and leading to preparation of preliminary proposals for the doctoral dissertation. Required for doctoral students.
Instructor: Alexander Karp

MSTM 6501 Research seminar in mathematics education
Permission required. Research oriented seminars dealing with a variety of issues and leading to preparation of preliminary proposals for the doctoral dissertation. Required for doctoral students.

MSTC 6502 History of science education
Research oriented seminars dealing with a variety of issues and leading to preparation for the doctoral certification examination. Required for doctoral students.

MSTC 6502 Science education research seminar
Research oriented seminars dealing with a variety of issues and leading to preparation for the doctoral certification examination. Required for doctoral students.

MSTM 6901 Research and independent study in mathematics education
Permission required. Guided independent study leading to the preparation of a major project or paper. May be taken repeatedly by doctoral candidates engaged in research.
Instructor: Erica Walker

MSTC 6902 Research and independent study in science education
Permission required. Guided independent study leading to the preparation of a major project or paper. May be taken repeatedly by doctoral candidates engaged in research.
Instructor: O. Roger Anderson

MSTM 7500 Dissertation seminar in mathematics education
Development of final doctoral dissertation proposals and presentation of proposals for departmental review.
Instructor: Alexander Karp

MSTC 7501 Dissertation seminar in science education
Development of doctoral dissertation proposals and presentation of proposals for departmental review.
Instructor: O. Roger Anderson

MSTM 8900 Dissertation advisement in mathematics education
Individual advisement on doctoral dissertations. Fee to equal 3 points at current tuition rate for each term. For requirements, see section in catalog on Continuous Registration for Ed.D./Ph.D. degrees.
Instructor: Erica Walker

MSTC 8901 Dissertation advisement in science education
Individual advisement on doctoral dissertations. Fee to equal 3 points at current tuition rate for each term. For requirements, see section in catalog on Continuous Registration for Ed.D./Ph.D. degrees.
Instructor: O. Roger Anderson

MSTM 9900 Research and independent study in mathematics education
Permission required. Open to post-doctoral students accepted for study at Teachers College.

MSTC 9901 Research and independent study in science education
Permission required. Open to postdoctoral students accepted for study at Teachers College.

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