This course examines cross-cultural language use by second language learners from both a theoretical and pedagogical perspective. Topics addressed include the role of pragmatic transfer between native and target languages, individual differences, learning context, and instruction in the development of second language pragmatic competence.

This course offers a comprehensive survey and analysis of fundamental concepts and issues related to second, bilingual, and foreign language instruction by developing students' knowledge of second language acquisition, approaches to language teaching, computer-assisted teaching, and pedagogical design and implementation in the language classroom.

A research or reading project undertaken by the student under the supervision of a staff member. Open only when a faculty member is willing and available to supervise.

A research or reading project undertaken by the student under the supervision of a staff member.

A research or reading project undertaken by the student under the supervision of a staff member.

This course provides students with foundational knowledge and skills for the study of second language teaching, learning, and assessment. Students will learn to describe language structure and use including among learners, identify major phenomena of non-native language learning, and discuss principles and best practices in second language teaching and assessment.

This course provides an introduction to second language pedagogy. Students will learn key concepts in pedagogy and compare the teaching and learning processes and experiences of first and second language learners as well as the roles of classroom teachers and learners via the creation of linguistic portraits and pedagogical materials.

This course examines theoretical research on adult second language learning and the resultant implications for second language teaching. Topics include age, affect, communicative competence, and sociolinguistics. Links are drawn to pedagogical practices, including error correction, materials selection, and order and method of presentation. This course is taught in English and is open to students from other disciplines. Written work to be completed in French/Italian for credit towards a Specialist (French or Italian) or Major (French/Italian).

This course provides an overview of classroom teaching methods, techniques and strategies for English as a second language, as well as ways of creating and adapting materials to particular teaching contexts such as English-as-a-second-language (ESL) in Canada, English for Academic Purposes (EAP), English for Specific Purposes (ESP), English-as-a-Foreign-Language (EFL) abroad, and blended teaching. Theoretical issues and classroom implications for teaching and learning with technology will be discussed. Classroom management techniques will also be examined, along with ways to access and work with classroom management and technology-related resources.

This course examines theories and practices related to the teaching and learning of speaking and listening in a second language, particularly with reference to English. The course will focus on the theoretical and research-based underpinnings of second language speaking and listening on the ways in which instruction can facilitate the development of these skills. The relationship of pronunciation to listening and listening skills will be explored, and an overview of teaching pronunciation to second language learners will be provided (particularly with reference to English).

This course examines theories and practices related to the teaching and learning of reading and writing in a second language, particularly with reference to English. The course will focus on the theoretical and research-based underpinnings of second language reading and writing and on the ways in which instruction can facilitate the development of these skills. The relationship of vocabulary to second language reading and writing will be examined (particularly with reference to English).

This course provides an overview of second language vocabulary acquisition research and the resultant implications for second language teaching. Topics include dimensions of vocabulary knowledge, incidental and intentional vocabulary learning, textbook analysis, learning strategies, and teacher beliefs about vocabulary teaching and learning. Implications are drawn for pedagogical practices, including best vocabulary teaching practices, materials selection, and measuring vocabulary knowledge. This course is taught in English and is open to students from other disciplines. Written work to be completed in French/Italian for credit towards a Specialist (French or French & Italian) or Major (French/Italian).

This course provides senior undergraduate students who have developed some knowledge of research methods used in the discipline of Language Teaching and Learning to work in the research project of a U of T Mississauga professor for course credit. Enrolled students have the opportunity to become involved in original research, develop their research skills, and share in the excitement and discovery of acquiring new knowledge. Project descriptions for participating faculty members for the following summer, fall, or winter sessions are posted on the ROP website in mid-February and students are invited to apply at that time. See Experiential and International Opportunities for more details

This course considers the impact on variant use by second language learners exerted by linguistic and extra-linguistic factors, such as the surrounding linguistic context, age, sex, style, and curricular and extra-curricular exposure. Implications are drawn for second language teaching, including deciding what registers and variants to teach and what activities to employ. Written work to be completed in French/Italian for credit towards a Specialist (French or Italian) or Major (French/Italian).

This course examines cross-cultural language use by second language learners from both a theoretical and pedagogical perspective. Topics addressed include the role of pragmatic transfer between native and target languages, individual differences, learning context, and instruction in the development of second language pragmatic competence. Written work to be completed in French/Italian for credit towards a Specialist (French or Italian) or Major (French/Italian).

This course offers a comprehensive survey and analysis of fundamental concepts and issues related to second, bilingual, and foreign language instruction by developing students' knowledge of second language acquisition, approaches to language teaching, computer-assisted teaching, and pedagogical design and implementation in the language classroom. Written work to be completed in French/Italian for credit towards a Specialist (French/Italian) or Major (French/Italian).

This course will conduct a critical appraisal of online course materials, and formulate appropriate pedagogical strategies for their exploitation. This course is taught in English and is open to students from other disciplines. Written work to be completed in French/Italian for credit towards a Specialist (French/Italian) or Major (French/Italian).

A research or reading project undertaken by the student under the supervision of a faculty member. Written work to be completed in French/Italian for credit towards an LTL program in French or Italian.

A research or reading project undertaken by the student under the supervision of a faculty member. Written work to be completed in French/Italian for credit towards an LTL program in French or Italian.

Understanding, using and developing precise expressions of mathematical ideas, including definitions and theorems. Set theory, logical statements and proofs, induction, topics chosen from combinatorics, elementary number theory, Euclidean geometry.

Review of functions and their graphs, trigonometry, exponentials and logarithms. Limits and continuity of functions of a single variable. Derivatives and differentiation techniques. Applications of differentiation, including extreme values, related rates and optimization. Life science applications are emphasized.

Mathematics of finance, matrices and linear equations. Review of differential calculus; applications. Integration and fundamental theorem; applications. Introduction to partial differentiation; applications. NOTE: This course cannot be used as the calculus prerequisite for any 200-level MAT or STA course, except in combination with MAT233H5.

Continuation of MAT132H5. Antiderivatives and indefinite integrals in one variable, definite integrals and the fundamental theorem of calculus. Integration techniques and applications of integration. Infinite sequences, series and convergence tests. Power series, Taylor and Maclaurin series. Life science applications are emphasized.

Review of functions and their graphs, trigonometry, exponentials and logarithms. Limits and continuity of functions of a single variable. Derivatives and differentiation techniques. Applications of differentiation, including extreme values, related rates and optimization. A wide range of applications from the sciences will be discussed.

Continuation of MAT135H5. Antiderivatives and indefinite integrals in one variable, definite integrals and the fundamental theorem of calculus. Integration techniques and applications of integration. Infinite sequences, series and convergence tests. Power series, Taylor and Maclaurin series. A wide range of applications from the sciences will be discussed.

A conceptual approach to calculus. A focus on theoretical foundations and proofs as well as some emphasis on geometric and physical intuition. Limits and continuity, differentiation, the mean value, extreme value and inverse function theorems. Applications typically include related rates and optimization.

Continuation of MAT137H5. A conceptual sequel to MAT137H5. Integration, the fundamental theorem of calculus, sequences and series, power series and Taylor’s theorem. Applications typically include approximation, integration techniques, areas and volumes.

A rigorous and proof-intensive introduction to the analysis of single variable real-valued functions for students with a serious interest in mathematics. Topics typically include the construction of the real numbers, the epsilon-delta definition of the limit, continuity, and differentiation.

Continuation of MAT157H5. A rigorous and proof-intensive sequel to MAT157H5 for students with a serious interest in mathematics. Topics typically include sequences, series, and integration of single variable real-valued functions.

Mathematics derives its great power from its ability to formulate abstract concepts and techniques. In this course, students will be introduced to abstraction and its power through a study of topics from discrete mathematics. The topics covered will include: Sets, relations and functions; Basic counting techniques: subsets, permutations, finite sequences, inclusion-exclusion; Discrete probability: random variables paradoxes and surprises; Basic number theory: properties of the integers and the primes. The course will emphasize active participation of the students in discussion and written assignments.