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Program Requirements
Revision, August 2011. Start of revision. The Bachelor of Education (B.Ed.) – Secondary Mathematics program requires 120 credits and leads to teacher certification. Students who have not completed Quebec CEGEP, French Baccalaureate, International Baccalaureate, or at least one year of university studies prior to commencing the B.Ed. must also complete a minimum of 30 credits of Freshman courses (in addition to the 120 credits for the program) for a total of 150 credits. The aim of the B.Ed. Secondary Education program is to prepare strong beginning teachers for the secondary school level. This integrated program consists of academic studies, professional studies, and school-based practicum components. All of this is supported by studies in pedagogy, curriculum, and educational foundations. The Secondary Mathematics program provides students with the learning opportunities needed to become proficient Mathematics teachers. Please note that graduates of teacher education programs are recommended by the University for Quebec certification to the Quebec Ministère de l'Éducation, du Loisir et du Sport (MELS). For more information about teacher certification in Quebec, please refer to the Faculty of Education section under "Overview of Faculty Programs", "Undergraduate Education Programs", and "Quebec Teacher Certification".Freshman Program
Students normally complete 30 credits in their Freshman (U0) year.
The Freshman year is the time to take introductory-level courses in Mathematics, as well as to explore areas that are not normally taken as teachable subject areas within B.Ed. programs (e.g., Sociology, Psychology, Political Science, etc.). Students should also investigate the possibility of taking one of the First Year Seminar courses offered by the Faculty of Arts or the Faculty of Science.
Students in the Secondary Mathematics program must complete three Math prerequisite courses in their Freshman year, MATH 133, MATH 140, and MATH 141.
In addition, students select courses from the recommended list below or other courses in consultation with the Program Adviser. The French Second Language (FRSL) courses suggested require a placement test to determine the appropriate course level.
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CEAP 250 Research Essay & Rhetoric (3 credits)
Overview
CEAP : Principles and use of academic research and genres, rhetorical strategies, and general editing skills.
Terms: Fall 2011, Winter 2012, Summer 2012
Instructors: Laver, Susan Patricia; Bider, Noreen Jane; Menezes, Julian; Moghaddam, Mahmood K; Popova, Emilia Marinova (Fall) Moghaddam, Mahmood K; Laver, Susan Patricia; Menezes, Julian; Bider, Noreen Jane; Popova, Emilia Marinova (Winter) Moghaddam, Mahmood K; Laver, Susan Patricia (Summer)
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EDEM 220 Contemporary Issues in Education (3 credits)
Overview
Admin & Policy Studies in Ed : An introduction to contemporary issues in education in local, national and international contexts, including a critical perspective on educational issues by drawing on a variety of analytical frameworks.
Terms: Fall 2011
Instructors: Trimble, Lisa (Fall)
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FRSL 101D1 Beginners French (3 credits)
Overview
French as a Second Language : A comprehensive introduction to basic vocabulary, grammatical structures and speech patterns of written and oral French for students in any degree program having no previous knowledge of French. Learning to communicate at a functional level in a French social milieu, short essays, cultural readings, mandatory lab practice and conversation class.
Terms: Fall 2011
Instructors: Labbe, Marie-Claude; Pellerin, Suzanne; Groulx, Jean-Francois (Fall)
3 hours, plus language laboratory and oral practice with a French monitor
Prerequisite: Placement test
Restriction: Not open to students who have taken FRSL 201 or FRSL 205
Students must register for both FRSL 101D1 and FRSL 101D2.
No credit will be given for this course unless both FRSL 101D1 and FRSL 101D2 are successfully completed in consecutive terms
FRSL 101D1 and FRSL 101D2 together are equivalent to FRSL 101
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FRSL 101D2 Beginners French (3 credits)
Overview
French as a Second Language : See FRSL 101D1 for course description.
Terms: Winter 2012
Instructors: Labbe, Marie-Claude; Pellerin, Suzanne; Groulx, Jean-Francois (Winter)
Prerequisite: FRSL 101D1
No credit will be given for this course unless both FRSL 101D1 and FRSL 101D2 are successfully completed in consecutive terms
FRSL 101D1 and FRSL 101D2 together are equivalent to FRSL 101
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FRSL 207D1 Elementary French 01 (3 credits)
Overview
French as a Second Language : Review and further training in basic structures, with emphasis on oral expression and listening comprehension. Awareness of French culture developed through audio-visual material and selected readings.
Terms: Fall 2011
Instructors: Chaubet, Philippe; Simon, Karen; Petcoff, Christine; Laniel, Denyse; Fenoglio, Prisca (Fall)
3 hours, plus language laboratory
Prerequisite: Placement test
Restriction: Not open to students who have taken Grade 12 or 13 French in Canada, or equivalent
Students must register for both FRSL 207D1 and FRSL 207D2.
No credit will be given for this course unless both FRSL 207D1 and FRSL 207D2 are successfully completed in consecutive terms
FRSL 207D1 and FRSL 207D2 together are equivalent to FRSL 207
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FRSL 207D2 Elementary French 01 (3 credits)
Overview
French as a Second Language : See FRSL 207D1 for course description.
Terms: Winter 2012
Instructors: Petcoff, Christine; Laniel, Denyse; Fortin, Marie-Josee; Fenoglio, Prisca (Winter)
Prerequisite: FRSL 207D1
No credit will be given for this course unless both FRSL 207D1 and FRSL 207D2 are successfully completed in consecutive terms
FRSL 207D1 and FRSL 207D2 together are equivalent to FRSL 207
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FRSL 211D1 Oral and Written French 1 (3 credits)
Overview
French as a Second Language : Language lab attendance required. Grammar review, comprehension, vocabulary development, selected readings and group discussions.
Terms: Fall 2011
Instructors: Leb, Danielle; Liakina, Natallia; Deslauriers, Roch; Miller Sanchez, Sandra (Fall)
3 hours, plus language laboratory
Prerequisite: Placement test. Open to students in any degree program having an elementary knowledge of French and to those who have completed FRSL 207
Restriction: Not open to students from Québec
Students must register for both FRSL 211D1 and FRSL 211D2.
No credit will be given for this course unless both FRSL 211D1 and FRSL 211D2 are successfully completed in consecutive terms
FRSL 211D1 and FRSL 211D2 together are equivalent to FRSL 211
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FRSL 211D2 Oral and Written French 1 (3 credits)
Overview
French as a Second Language : See FRSL 211D1 for course description.
Terms: Winter 2012
Instructors: Leb, Danielle; Liakina, Natallia; Deslauriers, Roch; Miller Sanchez, Sandra (Winter)
Prerequisite: FRSL 211D1
No credit will be given for this course unless both FRSL 211D1 and FRSL 211D2 are successfully completed in consecutive terms
FRSL 211D1 and FRSL 211D2 together are equivalent to FRSL 211
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MATH 133 Linear Algebra and Geometry (3 credits)
Overview
Mathematics & Statistics (Sci) : Systems of linear equations, matrices, inverses, determinants; geometric vectors in three dimensions, dot product, cross product, lines and planes; introduction to vector spaces, linear dependence and independence, bases; quadratic loci in two and three dimensions.
Terms: Fall 2011, Winter 2012, Summer 2012
Instructors: Akhtari, Shabnam; Kelome, Djivede; Anderson, William J; Clay, Adam; Trudeau, Sidney (Fall) Kelome, Djivede; Jonsson, Wilbur (Winter) Kahouadji, Nabil (Summer)
3 hours lecture, 1 hour tutorial
Prerequisite: a course in functions
Restriction: Not open to students who have taken MATH 221 or CEGEP objective 00UQ or equivalent.
Restriction Note B: Not open to students who have taken or are taking MATH 123, MATH 130 or MATH 131, except by permission of the Department of Mathematics and Statistics.
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MATH 140 Calculus 1 (3 credits)
Overview
Mathematics & Statistics (Sci) : Review of functions and graphs. Limits, continuity, derivative. Differentiation of elementary functions. Antidifferentiation. Applications.
Terms: Fall 2011, Winter 2012, Summer 2012
Instructors: Drury, Stephen W; Shirokoff, David; Fels, Mark Eric (Fall) Jonsson, Wilbur (Winter) Canzani Garcia, Yaiza (Summer)
3 hours lecture, 1 hour tutorial
Prerequisite: High School Calculus
Restriction: Not open to students who have taken MATH 120, MATH 139 or CEGEP objective 00UN or equivalent
Restriction: Not open to students who have taken or are taking MATH 122 or MATH 130 or MATH 131, except by permission of the Department of Mathematics and Statistics
Each Tutorial section is enrolment limited
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MATH 141 Calculus 2 (4 credits)
Overview
Mathematics & Statistics (Sci) : The definite integral. Techniques of integration. Applications. Introduction to sequences and series.
Terms: Fall 2011, Winter 2012, Summer 2012
Instructors: Kang, Sungmo (Fall) Lei, Antonio; Drury, Stephen W; El Hajj, Layan (Winter) Bigdely, Hadi; Grech, Philip (Summer)
Restriction: Not open to students who have taken MATH 121 or CEGEP objective 00UP or equivalent
Restriction Note B: Not open to students who have taken or are taking MATH 122 or MATH 130 or MATH 131, except by permission of the Department of Mathematics and Statistics.
Each Tutorial section is enrolment limited
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RELG 204 Judaism, Christianity and Islam (3 credits)
Overview
Religious Studies : An introduction to the beliefs, practices, and religious institutions of these three world religions.
Terms: Winter 2012
Instructors: Levy, B Barry; Fletcher, Charles Douglas; Henderson, Ian H (Winter)
Winter
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RELG 207 The Study of World Religions 1 (3 credits)
Overview
Religious Studies : An introduction to the study of Hinduism, Buddhism, Confucianism, Taoism, Judaism, Christianity, Islam and Primal Religions.
Terms: Fall 2011
Instructors: Sharma, Arvind (Fall)
Fall
Required Courses (45 credits)
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EDEC 201 First Year Professional Seminar (1 credit)
Overview
Curriculum and Instruction : Orientation to the culture and community of school and to teaching as a profession. Focus on the general functioning of schools and complexity of the teacher role. Competencies and working professional portfolios will be addressed.
Terms: Fall 2011, Summer 2012
Instructors: Riches, Caroline Joan; Amoriggi, Helen; Benson, Fiona J; Horner, Norman; Delis, Rania; Ottoni, Tina; Clarke, Ginette; Abraham, Anjali Anna; Langelier, Jan Edith (Fall) Amoriggi, Helen; Asghar, Anila (Summer)
Corequisite: EDFE 200
Restriction: Open to B.Ed. Secondary and B.Ed. K/Elem. students only
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EDEC 215 English Language Requirement
Overview
Curriculum and Instruction : This English Exam for Teacher Certification is a MELS requirement for teaching in the Quebec English school system. Consists of a 2-hour exam designed to assess teacher candidates' competency in the language of instruction. Must be completed before the 3rd Field Experience. Students are permitted four attempts to pass. Students who do not pass after four attempts must withdraw from the teacher preparation program.
Terms: Fall 2011, Summer 2012
Instructors: Baker, Beverly Anne (Fall) Baker, Beverly Anne (Summer)
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EDEC 247 Policy Issues in Quebec Education (3 credits)
Overview
Curriculum and Instruction : This course examines the organization of education in Quebec from various perspectives, including historical, political, social and legal. It aims to provide students with sufficient knowledge that they can begin the life-long learning process of a professional educator, aware of, and contributing to, the policy talk on school.
Terms: Fall 2011, Winter 2012, Summer 2012
Instructors: Bordonaro, Tino (Fall) Irving, Donal (Winter) Irving, Donal (Summer)
Restriction: Not open to students who have taken EDEM 405.
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EDEC 254 Second Professional Seminar (Secondary) (1 credit)
Overview
Curriculum and Instruction : Preparation for the second field experience through development of basic practices in planning and teaching in secondary school classrooms. Competencies and professional portfolio will be addressed.
Terms: Summer 2012, Fall 2011, Winter 2012
Instructors: Bourassa, Nicole Marie; Clarke, Ginette; Lister, Jason; Benoit, Brian Andrew (Summer) Lister, Jason (Fall) Lister, Jason (Winter)
Corequisite(s): EDFE 254
Restrictions: Open to B.Ed. Sec and concurrent B.Sc. and B.Ed. students.
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EDEC 351 Third Professional Seminar (Secondary) (2 credits)
Overview
Curriculum and Instruction : Professional portfolios and competencies will be addressed. Preparation for the third field experience through engaging in the full spectrum of unit/lesson planning, critical analysis and self-reflection. Professional portfolios and competencies will be addressed.
Terms: Fall 2011
Instructors: Kenworthy-Grant, Judy; Clarke, Ginette (Fall)
Prerequisite: EDEC 254 or EDEC 254D1/D2
Corequisite: EDFE 351
Restriction: Open to B.Ed. Secondary, B.Sc. and B.Ed. concurrent students only. Not open to students who have taken EDEC 306.
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EDEC 404 Fourth Year Professional Seminar (Sec) (3 credits)
Overview
Curriculum and Instruction : Preparation for the final field experience and entry into the teaching profession. Emphasis will be placed on developing the ability to demonstrate ethical and responsible professional behaviour in the performance of duties across all professional competencies. Final transition to showcase working professional portfolios will be addressed.
Terms: Winter 2012
Instructors: Canella, Jose Manuel; Clarke, Ginette; Rinaldis, Diane (Winter)
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EDES 350 Classroom Practices (Secondary) (3 credits)
Overview
Secondary Education : Competency-based discipline skills and methods of classroom management, emphasizing the relationship between theory and practice; the rationale for various approaches to classroom management; strategies for developing instruction that focus attention and reduce off-task behaviour.
Terms: Fall 2011
Instructors: Horner, Norman; Webster, Megan; Commins, John E; Wilcox, William Keith (Fall)
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EDFE 200 First Field Experience (K/Elem & Secondary) (2 credits)
Overview
Student Teaching : Students are assigned to a school for a "participant observer" field experience for a minimum of 10 days.
Terms: Fall 2011, Summer 2012
Instructors: Benson, Fiona J (Fall)
Corequisite: EDEC 201
Restriction: Open to B.Ed. Secondary and B.Ed. K/Elem. students
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EDFE 254 Second Field Experience (Secondary) (3 credits)
Overview
Student Teaching : A minimum of fifteen days supervised student teaching in a school. Students are expected to apprise themselves of Field Experience 2 expectations and responsibilities as outlined on the Office of Student Teaching website http://www.mcgill.ca/ost/guidelines/.
Terms: Summer 2012, Fall 2011, Winter 2012
Instructors: Benson, Fiona J (Fall) Benson, Fiona J (Winter)
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EDFE 351 Third Field Experience (Secondary) (8 credits)
Overview
Student Teaching : Supervised student teaching in a school. Students are expected to apprise themselves of Field Experience, dates, duration and responsibilities as outlined on the Office of Student Teaching website http://www.mcgill.ca/ost.
Terms: Fall 2011
Instructors: Benson, Fiona J (Fall)
Prerequisites: (EDFE 254 or EDFE 254D1/D2), (EDEC 254 or EDEC 254D1/D2), EDEC 215.
Restriction: Students must have completed, with a grade of C or higher, a minimum of 24 credits in a teachable subject and have taken the corresponding Methods courses as a co-requisite.
Note: Expectations for this field experience, according to your program, can be found at .
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EDFE 451 Fourth Field Experience (Secondary) (7 credits)
Overview
Student Teaching : A minimum of 35 days of supervised student teaching in a school. Students will be expected to assume a much increased responsibility for student learning, classroom management, and evaluation. Students are expected to apprise themselves of Field Experience 4 expectations and responsibilities as outlined on the Office of Student Teaching website http://www.mcgill.ca/ost/guidelines/.
Terms: Fall 2011, Winter 2012
Instructors: Benson, Fiona J (Fall) Benson, Fiona J (Winter)
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EDPE 300 Educational Psychology (3 credits)
Overview
Ed Psych & Couns (Psychology) : Selected theories, models, and concepts relevant to planning and reflecting upon educational practice and improvement. Overview of development, learning, thinking, motivation, individual difference, etc. In relation to applications in classroom teaching and learning, the complementary role of counsellors and psychologists, educational computing and technology. The Youth Protection Act.
Terms: Fall 2011, Winter 2012, Summer 2012
Instructors: Conrod, Scott; Birlean, Camelia; Macarthur, Judith; Appignanesi, Gus; Ranellucci, John (Fall) Conrod, Scott (Winter) Flanagan, Tara; Birlean, Camelia (Summer)
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EDPE 304 Measurement and Evaluation (3 credits)
Overview
Ed Psych & Couns (Psychology) : The purposes of examinations. Causes of complaints about examinations. Equalizing means and dispersions in distribution of marks. Standardized scores. The percentile system. Essay and objective-type examinations. Taxonomies of educational objectives. Validity and reliability: item analysis.
Terms: Fall 2011, Winter 2012, Summer 2012
Instructors: Jazvac Martek, Marian (Fall) Gomez-Garibello, Carlos (Winter) Jazvac Martek, Marian (Summer)
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EDPI 309 Exceptional Students (3 credits)
Overview
Ed Psych & Couns (Inclusive) : Evolution of special education to inclusive education; characteristics, teaching practices, and teachers' roles in inclusive classrooms. Overview of characteristics, causes, needs, and teaching strategies for students with each exceptionality, including students with intellectual, emotional, behavioural, sensory, physical and learning differences.
Terms: Fall 2011, Winter 2012, Summer 2012
Instructors: Di Stasio, Maria (Fall) Appignanesi, Gus; Stringer, Ronald William; Thomson, Roberta; Flanagan, Tara (Winter) Conrod, Scott; Jalali-Kushki, Yasaman (Summer)
Restriction: Open to B.Ed. and Concurrent students only.
Offered through Continuing Education or Summer Studies.
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EDPI 341 Instruction in Inclusive Schools (3 credits)
Overview
Ed Psych & Couns (Inclusive) : Planning, implementing and evaluating curriculum and instruction for students with exceptionalities. Using technology and adapting curriculum and instruction for learners with varying abilities, learning styles, and needs. Collaboration with students, families, and other educators in the instructional process. Application component: application of instructional modifications for exceptional students in inclusive schools.
Terms: Fall 2011, Winter 2012, Summer 2012
Instructors: Sornberger, Michael; McInnis, Shannahn; Finn Lefsrud, Casey; Tolley, Shirely; Conrod, Scott; Cohen-Gazith, Karen (Fall) Conrod, Scott; Flanagan, Tara; Hoida, David (Winter) Thomson, Roberta; McInnis, Shannahn; Macarthur, Judith (Summer)
Restriction: Open to B.Ed. students only
Also offered through Continuing Education.
Complementary Courses (15 credits)
15 credits selected as described below.
Multicultural Education
3 credits from:
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EDEC 233 First Nations and Inuit Education (3 credits)
Overview
Curriculum and Instruction : Study of First Nations and Inuit schools as diverse social, cultural, linguistic, political and pedagogical settings. Considers school and community minority-majority interactions and their influence on teaching and learning in educational settings. Examines how a teacher's personal practice can be influenced by an understanding of these factors.
Terms: This course is not scheduled for the 2011-2012 academic year.
Instructors: There are no professors associated with this course for the 2011-2012 academic year.
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EDEC 248 Multicultural Education (3 credits)
Overview
Curriculum and Instruction : Introduction to theories about intercultural and multicultural education in Quebec and Canadian schools.
Terms: Fall 2011, Winter 2012
Instructors: Ghosh, Ratna; Shariff, Shaheen; Galczynski, Mariusz (Fall) Celemencki, Jacqueline M; Galczynski, Mariusz (Winter)
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EDEC 249 Global Education and Social Justice (3 credits)
Overview
Curriculum and Instruction : A cross-curricular, interdisciplinary approach to teaching/creating learning experiences for students. It will foster critical thinking and nurture lifelong global understanding, active engagement and participation in relation to questions of social, economic, and environmental justice, by infusing these issues in the classroom.
Terms: Fall 2011
Instructors: Choudry, Abdul Aziz (Fall)
Philosophy of Education
3 credits from:
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EDEC 260 Philosophical Foundations (3 credits)
Overview
Curriculum and Instruction : Ideas essential for the development of a coherent educational theory and sound professional practice. Reflections on: the nature of the person, of reality, of knowledge, and of value; the aims of education, the nature of the school and the curriculum, the roles and responsibilities of professional educators.
Terms: Fall 2011, Winter 2012
Instructors: White, Boyd Eric; McDonough, Kevin Michael; Morris, Ronald (Fall) White, Boyd Eric (Winter)
Restriction: Not open to students who have taken EDER 400.
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EDEC 261 Philosophy of Catholic Education (3 credits)
Overview
Curriculum and Instruction : An exploration of the philosophy of Catholic education, and its relevance in the world today.
Terms: Fall 2011, Winter 2012
Instructors: Ives, Charles (Fall) Ives, Charles (Winter)
Restriction: Not open to students who have taken EDER 398.
Media, Technology, Computers and Education
3 credits from:
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EDEC 262 Media, Technology and Education (3 credits)
Overview
Curriculum and Instruction : Orientation to the equipment and systems of educational technology. Examination of theories of educational technology, media education and technology education and the exploration and development of possible applications in school settings.
Terms: Fall 2011, Winter 2012
Instructors: Trimble, Lisa (Fall) Rother, Irving; Trimble, Lisa (Winter)
Restriction: Not open to students who have taken EDEC 402.
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EDPT 200 Integrating Educational Technology in Classrooms (3 credits)
Overview
Ed Psych & Couns (Media) : The course is designed to help practicing and future teachers integrate technology (e.g. web-based resources, hypermedia, digital video) in their daily teaching practices. It is a practical, hands-on course that is grounded in constructivist learning theory. The participants will learn by engaging in authentic tasks in a project-based learning environment.
Terms: Fall 2011, Winter 2012, Summer 2012
Instructors: Bruzzese, Sam (Fall) Bruzzese, Sam (Winter) Bruzzese, Sam (Summer)
Also offered through Continuing Education and Summer Studies
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EDPT 204 Educational Media 1 (3 credits)
Overview
Ed Psych & Couns (Media) : Educational Media 1 is the "gateway" course for educational media. It reviews audio-visual education and emphasizes the rationale for audio-visual materials in education, and the underlying principles in their design, production and effective use.
Terms: Fall 2011, Winter 2012
Instructors: Baron, Maureen (Fall) Baron, Maureen (Winter)
Offered through Continuing Education
For students with a background in computers or other media applications in education, the following courses may be substituted for the above:
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EDPT 341 Instructional Programming 1 (3 credits)
Overview
Ed Psych & Couns (Media) : This course introduces the principles and classroom applications of a computer programming language commonly found in schools. Programming language will be Visual BASIC.
Terms: This course is not scheduled for the 2011-2012 academic year.
Instructors: There are no professors associated with this course for the 2011-2012 academic year.
- Offered only through Distance Education
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EDPT 420 Media Literacy for Education (3 credits)
Overview
Ed Psych & Couns (Media) : The course explores the pedagogical use of media and multi-media in the classroom, and focuses in particular on the text, audience and production of media in a media literacy and integrated language arts program.
Terms: This course is not scheduled for the 2011-2012 academic year.
Instructors: There are no professors associated with this course for the 2011-2012 academic year.
- Prerequisite: EDPT 204
- Offered only through Distance Education
Secondary Teaching Methods - Mathematics
6 credits:
Note: Students selecting 18 credits of Secondary Mathematics courses as their other "teachable" subject will take 3 credits of Mathematics Secondary Teaching Methods courses to count as an elective in their program.
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EDES 353 Teaching Secondary Mathematics 1 (3 credits)
Overview
Secondary Education : Directed observations in secondary schools and the study of the general objectives and curriculum trends. The learning problems, teaching strategies and mathematical concepts encountered in the High School curriculum.
Terms: Winter 2012
Instructors: Malowany, Joanne (Winter)
Prerequisites: 18 credits in university mathematics courses at or above the 200 level
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EDES 453 Teaching Secondary Mathematics 2 (3 credits)
Overview
Secondary Education : This course supplements EDES 353 for students who select Mathematics as a single teachable subject. Evaluation of learning in Mathematics, obstacles to learning, technological aids to learning.
Terms: Winter 2012
Instructors: Lin, Terry Wan Jung (Winter)
Secondary Mathematics Subject Area (54 credits)
Secondary Mathematics students complete 54 credits selected in consultation with the Program Adviser in one of two options. They are expected to have completed the prerequisite courses MATH 133, MATH 140, and MATH 141 or their equivalents. Freshman students will take them as part of their Freshman program.
Students entering from CEGEP should only choose this program if they have a strong background in their CEGEP Mathematics courses. The 100-level prerequisite courses (MATH 133, MATH 140, and MATH 141) are considered CEGEP level and only students entering a five-year program (out-of-province and directly from high school) are eligible to take them. Students entering with Advanced Standing without having completed these prerequisites will be required to make up any deficiencies in these courses over and above the degree requirements.
Option 1
27 credits from the list of "Required Mathematics Courses" and
27 credits from the list of "Complementary Mathematics Courses"
Or
Option 2:
27 credits from the list of "Required Mathematics Courses" and
9 credits from the list of "Complementary Mathematics Courses"
And
18 credits of designated courses in another "teachable" subject area (English, Social Sciences, or Science and Technology - see these Secondary Education programs for courses)
Students must also take:
3 credits of Secondary Teaching Methods for the teachable subject area
(Note: This additional Methods course counts as a 3-credit elective in the program.)
Students in the English Secondary Profile who select Mathematics as their other "teachable subject area" take:
18 credits from the list of "Mathematics Courses for Other Secondary Subject Areas"
And
3 credits of "Secondary Teaching Methods - Mathematics"
(Note: This additional Methods course counts as a 3-credit elective in the program.)
Required Mathematics Courses
27 credits for Secondary Mathematics Option 1 and Option 2 students
Note: Students with Mathematics as their "other teachable subject area" select from the list of "Mathematics Courses for Students in Other Secondary Subject Areas".
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MATH 222 Calculus 3 (3 credits)
Overview
Mathematics & Statistics (Sci) : Taylor series, Taylor's theorem in one and several variables. Review of vector geometry. Partial differentiation, directional derivative. Extreme of functions of 2 or 3 variables. Parametric curves and arc length. Polar and spherical coordinates. Multiple integrals.
Terms: Fall 2011, Winter 2012, Summer 2012
Instructors: Loveys, James G; Rogers, Mathew (Fall) Loveys, James G (Winter) Fraiman, Nicolás (Summer)
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MATH 223 Linear Algebra (3 credits)
Overview
Mathematics & Statistics (Sci) : Review of matrix algebra, determinants and systems of linear equations. Vector spaces, linear operators and their matrix representations, orthogonality. Eigenvalues and eigenvectors, diagonalization of Hermitian matrices. Applications.
Terms: Fall 2011, Winter 2012
Instructors: Jonsson, Wilbur (Fall) Jonsson, Wilbur (Winter)
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MATH 235 Algebra 1 (3 credits)
Overview
Mathematics & Statistics (Sci) : Sets, functions and relations. Methods of proof. Complex numbers. Divisibility theory for integers and modular arithmetic. Divisibility theory for polynomials. Rings, ideals and quotient rings. Fields and construction of fields from polynomial rings. Groups, subgroups and cosets; group actions on sets.
Terms: Fall 2011
Instructors: Hahn, Heekyoung (Fall)
Fall
3 hours lecture; 1 hour tutorial
Prerequisite: MATH 133 or equivalent
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MATH 242 Analysis 1 (3 credits)
Overview
Mathematics & Statistics (Sci) : A rigorous presentation of sequences and of real numbers and basic properties of continuous and differentiable functions on the real line.
Terms: Fall 2011
Instructors: Dimitrov, Nikolay; Klemes, Ivo (Fall)
Fall
Prerequisite: MATH 141
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MATH 315 Ordinary Differential Equations (3 credits)
Overview
Mathematics & Statistics (Sci) : First order ordinary differential equations including elementary numerical methods. Linear differential equations. Laplace transforms. Series solutions.
Terms: Fall 2011, Winter 2012, Summer 2012
Instructors: Xu, Jian-Jun (Fall) Xu, Jian-Jun (Winter) Eswarathasan, Suresh (Summer)
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MATH 323 Probability (3 credits)
Overview
Mathematics & Statistics (Sci) : Sample space, events, conditional probability, independence of events, Bayes' Theorem. Basic combinatorial probability, random variables, discrete and continuous univariate and multivariate distributions. Independence of random variables. Inequalities, weak law of large numbers, central limit theorem.
Terms: Fall 2011, Winter 2012, Summer 2012
Instructors: Anderson, William J (Fall) Wolfson, David B (Winter) Kelome, Djivede (Summer)
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MATH 324 Statistics (3 credits)
Overview
Mathematics & Statistics (Sci) : Sampling distributions, point and interval estimation, hypothesis testing, analysis of variance, contingency tables, nonparametric inference, regression, Bayesian inference.
Terms: Fall 2011, Winter 2012
Instructors: Steele, Russell (Fall) Anderson, William J (Winter)
Fall and Winter
Prerequisite: MATH 323 or equivalent
Restriction: Not open to students who have taken or are taking MATH 357
You may not be able to receive credit for this course and other statistic courses. Be sure to check the Course Overlap section under Faculty Degree Requirements in the Arts or Science section of the Calendar.
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MATH 338 History and Philosophy of Mathematics (3 credits)
Overview
Mathematics & Statistics (Sci) : Egyptian, Babylonian, Greek, Indian and Arab contributions to mathematics are studied together with some modern developments they give rise to, for example, the problem of trisecting the angle. European mathematics from the Renaissance to the 18th century is discussed in some detail.
Terms: Fall 2011
Instructors: Kamran, Niky (Fall)
Fall
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MATH 348 Topics in Geometry (3 credits)
Overview
Mathematics & Statistics (Sci) : Selected topics - the particular selection may vary from year to year. Topics include: isometries in the plane, symmetry groups of frieze and ornamental patterns, equidecomposibility, non-Euclidean geometry and problems in discrete geometry.
Terms: Summer 2012
Instructors: Smith, Benjamin (Summer)
Prerequisite: MATH 133 or equivalent or permission of instructor.
Complementary Mathematics Courses
27 credits from the list below for Secondary Mathematics Option 1 students or
9 credits from the list below for Secondary Mathematics Option 2 students
Note: Students with Mathematics as their "other teachable subject area" select from the list of "Mathematics Courses for Students in Other Secondary Subject Areas".
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COMP 202 Foundations of Programming (3 credits)
Overview
Computer Science (Sci) : Introduction to programming in a modern high-level language, modular software design and debugging. Programming concepts are illustrated using a variety of application areas.
Terms: Fall 2011, Winter 2012, Summer 2012
Instructors: Pomerantz, Daniel; Kienzle, Jorg Andreas (Fall) Pomerantz, Daniel; Liu, Xue (Winter) Pomerantz, Daniel (Summer)
3 hours
Prerequisite: a CEGEP level mathematics course
Restrictions: COMP 202 and COMP 208 cannot both be taken for credit. COMP 202 is intended as a general introductory course, while COMP 208 is intended for students interested in scientific computation. COMP 202 cannot be taken for credit with or after COMP 250
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COMP 230 Logic and Computability (3 credits)
Overview
Computer Science (Sci) : Propositional Logic, predicate calculus, proof systems, computability Turing machines, Church-Turing thesis, unsolvable problems, completeness, incompleteness, Tarski semantics, uses and misuses of Gödel's theorem.
Terms: Fall 2011
Instructors: Schlimm, Dirk (Fall)
3 hours
Prerequisite: CEGEP level mathematics.
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MATH 236 Algebra 2 (3 credits)
Overview
Mathematics & Statistics (Sci) : Linear equations over a field. Introduction to vector spaces. Linear mappings. Matrix representation of linear mappings. Determinants. Eigenvectors and eigenvalues. Diagonalizable operators. Cayley-Hamilton theorem. Bilinear and quadratic forms. Inner product spaces, orthogonal diagonalization of symmetric matrices. Canonical forms.
Terms: Winter 2012
Instructors: Hahn, Heekyoung (Winter)
Winter
Prerequisite: MATH 235
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MATH 243 Analysis 2 (3 credits)
Overview
Mathematics & Statistics (Sci) : Infinite series; series of functions; power series. The Riemann integral in one variable. A rigorous development of the elementary functions.
Terms: Winter 2012
Instructors: Klemes, Ivo (Winter)
Winter
Prerequisite: MATH 242
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MATH 314 Advanced Calculus (3 credits)
Overview
Mathematics & Statistics (Sci) : Derivative as a matrix. Chain rule. Implicit functions. Constrained maxima and minima. Jacobians. Multiple integration. Line and surface integrals. Theorems of Green, Stokes and Gauss.
Terms: Fall 2011, Winter 2012, Summer 2012
Instructors: Jonsson, Wilbur (Fall) Klemes, Ivo (Winter) Roth, Charles (Summer)
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MATH 316 Complex Variables (3 credits)
Overview
Mathematics & Statistics (Sci) : Algebra of complex numbers, Cauchy-Riemann equations, complex integral, Cauchy's theorems. Taylor and Laurent series, residue theory and applications.
Terms: Fall 2011
Instructors: Hahn, Heekyoung (Fall)
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MATH 317 Numerical Analysis (3 credits)
Overview
Mathematics & Statistics (Sci) : Error analysis. Numerical solutions of equations by iteration. Interpolation. Numerical differentiation and integration. Introduction to numerical solutions of differential equations.
Terms: Fall 2011
Instructors: Bartello, Peter (Fall)
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MATH 318 Mathematical Logic (3 credits)
Overview
Mathematics & Statistics (Sci) : Propositional calculus, truth-tables, switching circuits, natural deduction, first order predicate calculus, axiomatic theories, set theory.
Terms: Fall 2011
Instructors: Loveys, James G (Fall)
Fall
Restriction: Not open to students who are taking or have taken PHIL 210
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MATH 319 Introduction to Partial Differential Equations (3 credits)
Overview
Mathematics & Statistics (Sci) : First order equations, geometric theory; second order equations, classification; Laplace, wave and heat equations, Sturm-Liouville theory, Fourier series, boundary and initial value problems.
Terms: Winter 2012
Instructors: Tsogtgerel, Gantumur (Winter)
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MATH 326 Nonlinear Dynamics and Chaos (3 credits)
Overview
Mathematics & Statistics (Sci) : Linear systems of differential equations, linear stability theory. Nonlinear systems: existence and uniqueness, numerical methods, one and two dimensional flows, phase space, limit cycles, Poincare-Bendixson theorem, bifurcations, Hopf bifurcation, the Lorenz equations and chaos.
Terms: Fall 2011
Instructors: Calleja Castillo, Renato (Fall)
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MATH 327 Matrix Numerical Analysis (3 credits)
Overview
Mathematics & Statistics (Sci) : An overview of numerical methods for linear algebra applications and their analysis. Problem classes include linear systems, least squares problems and eigenvalue problems.
Terms: This course is not scheduled for the 2011-2012 academic year.
Instructors: There are no professors associated with this course for the 2011-2012 academic year.
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MATH 329 Theory of Interest (3 credits)
Overview
Mathematics & Statistics (Sci) : Simple and compound interest, annuities certain, amortization schedules, bonds, depreciation.
Terms: Winter 2012
Instructors: Sancho, Neville G F (Winter)
Winter
Prerequisite: MATH 141
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MATH 340 Discrete Structures 2 (3 credits)
Overview
Mathematics & Statistics (Sci) : Review of mathematical writing, proof techniques, graph theory and counting. Mathematical logic. Graph connectivity, planar graphs and colouring. Probability and graphs. Introductory group theory, isomorphisms and automorphisms of graphs. Enumeration and listing.
Terms: Winter 2012
Instructors: Vetta, Adrian Roshan (Winter)
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MATH 346 Number Theory (3 credits)
Overview
Mathematics & Statistics (Sci) : Divisibility. Congruences. Quadratic reciprocity. Diophantine equations. Arithmetical functions.
Terms: This course is not scheduled for the 2011-2012 academic year.
Instructors: There are no professors associated with this course for the 2011-2012 academic year.
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MATH 417 Mathematical Programming (3 credits)
Overview
Mathematics & Statistics (Sci) : An introductory course in optimization by linear algebra, and calculus methods. Linear programming (convex polyhedra, simplex method, duality, multi-criteria problems), integer programming, and some topics in nonlinear programming (convex functions, optimality conditions, numerical methods). Representative applications to various disciplines.
Terms: Fall 2011
Instructors: Zwols, Yori (Fall)
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MATH 423 Regression and Analysis of Variance (3 credits)
Overview
Mathematics & Statistics (Sci) : Least-squares estimators and their properties. Analysis of variance. Linear models with general covariance. Multivariate normal and chi-squared distributions; quadratic forms. General linear hypothesis: F-test and t-test. Prediction and confidence intervals. Transformations and residual plot. Balanced designs.
Terms: Fall 2011
Instructors: Khalili Mahmoudabadi, Abbas (Fall)
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MATH 447 Introduction to Stochastic Processes (3 credits)
Overview
Mathematics & Statistics (Sci) : Conditional probability and conditional expectation, generating functions. Branching processes and random walk. Markov chains, transition matrices, classification of states, ergodic theorem, examples. Birth and death processes, queueing theory.
Terms: Winter 2012
Instructors: Anderson, William J (Winter)
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MATH 523 Generalized Linear Models (4 credits)
Overview
Mathematics & Statistics (Sci) : Modern discrete data analysis. Exponential families, orthogonality, link functions. Inference and model selection using analysis of deviance. Shrinkage (Bayesian, frequentist viewpoints). Smoothing. Residuals. Quasi-likelihood. Sliced inverse regression. Contingency tables: logistic regression, log-linear models. Censored data. Applications to current problems in medicine, biological and physical sciences. GLIM, S, software.
Terms: Winter 2012
Instructors: Stephens, David (Winter)
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MATH 524 Nonparametric Statistics (4 credits)
Overview
Mathematics & Statistics (Sci) : Distribution free procedures for 2-sample problem: Wilcoxon rank sum, Siegel-Tukey, Smirnov tests. Shift model: power and estimation. Single sample procedures: Sign, Wilcoxon signed rank tests. Nonparametric ANOVA: Kruskal-Wallis, Friedman tests. Association: Spearman's rank correlation, Kendall's tau. Goodness of fit: Pearson's chi-square, likelihood ratio, Kolmogorov-Smirnov tests. Statistical software packages used.
Terms: Fall 2011
Instructors: Genest, Christian (Fall)
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MATH 525 Sampling Theory and Applications (4 credits)
Overview
Mathematics & Statistics (Sci) : Simple random sampling, domains, ratio and regression estimators, superpopulation models, stratified sampling, optimal stratification, cluster sampling, sampling with unequal probabilities, multistage sampling, complex surveys, nonresponse.
Terms: This course is not scheduled for the 2011-2012 academic year.
Instructors: There are no professors associated with this course for the 2011-2012 academic year.
Mathematics Courses for Students in Other Secondary Subject Areas
Students in other secondary subject areas selecting Mathematics as their "other teachable subject area" take the following 18 credits.
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MATH 222 Calculus 3 (3 credits)
Overview
Mathematics & Statistics (Sci) : Taylor series, Taylor's theorem in one and several variables. Review of vector geometry. Partial differentiation, directional derivative. Extreme of functions of 2 or 3 variables. Parametric curves and arc length. Polar and spherical coordinates. Multiple integrals.
Terms: Fall 2011, Winter 2012, Summer 2012
Instructors: Loveys, James G; Rogers, Mathew (Fall) Loveys, James G (Winter) Fraiman, Nicolás (Summer)
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MATH 223 Linear Algebra (3 credits)
Overview
Mathematics & Statistics (Sci) : Review of matrix algebra, determinants and systems of linear equations. Vector spaces, linear operators and their matrix representations, orthogonality. Eigenvalues and eigenvectors, diagonalization of Hermitian matrices. Applications.
Terms: Fall 2011, Winter 2012
Instructors: Jonsson, Wilbur (Fall) Jonsson, Wilbur (Winter)
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MATH 315 Ordinary Differential Equations (3 credits)
Overview
Mathematics & Statistics (Sci) : First order ordinary differential equations including elementary numerical methods. Linear differential equations. Laplace transforms. Series solutions.
Terms: Fall 2011, Winter 2012, Summer 2012
Instructors: Xu, Jian-Jun (Fall) Xu, Jian-Jun (Winter) Eswarathasan, Suresh (Summer)
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MATH 323 Probability (3 credits)
Overview
Mathematics & Statistics (Sci) : Sample space, events, conditional probability, independence of events, Bayes' Theorem. Basic combinatorial probability, random variables, discrete and continuous univariate and multivariate distributions. Independence of random variables. Inequalities, weak law of large numbers, central limit theorem.
Terms: Fall 2011, Winter 2012, Summer 2012
Instructors: Anderson, William J (Fall) Wolfson, David B (Winter) Kelome, Djivede (Summer)
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MATH 324 Statistics (3 credits)
Overview
Mathematics & Statistics (Sci) : Sampling distributions, point and interval estimation, hypothesis testing, analysis of variance, contingency tables, nonparametric inference, regression, Bayesian inference.
Terms: Fall 2011, Winter 2012
Instructors: Steele, Russell (Fall) Anderson, William J (Winter)
Fall and Winter
Prerequisite: MATH 323 or equivalent
Restriction: Not open to students who have taken or are taking MATH 357
You may not be able to receive credit for this course and other statistic courses. Be sure to check the Course Overlap section under Faculty Degree Requirements in the Arts or Science section of the Calendar.
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MATH 348 Topics in Geometry (3 credits)
Overview
Mathematics & Statistics (Sci) : Selected topics - the particular selection may vary from year to year. Topics include: isometries in the plane, symmetry groups of frieze and ornamental patterns, equidecomposibility, non-Euclidean geometry and problems in discrete geometry.
Terms: Summer 2012
Instructors: Smith, Benjamin (Summer)
Prerequisite: MATH 133 or equivalent or permission of instructor.
Electives (6 credits)
6 credits of electives
Note: Students who have chosen to do 36 credits in one teachable subject and 18 credits in another will use 3 credits of electives to take the Secondary Teaching Methods course needed for their second teachable subject.
Revision, August 2011. End of revision.
Faculty of Education—2011-2012 (last updated Aug. 17, 2011) (disclaimer)