(Complete Item Description)
- Abstract:
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A rigorous introduction designed for mathematicians into perturbative quantum field theory, using the language of functional integrals. Basics of classical field theory. Free quantum theories. Feynman diagrams. Renormalization theory. Local operators. Operator product expansion. Renormalization group equation. The goal is to discuss, using mathematical language, a number of basic notions and results of QFT that are necessary to understand talks and papers in QFT and string theory.
- Subject:
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Mathematics and Statistics
- Grade Level:
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Post-secondary
- Collection:
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MIT OpenCourseWare
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Remix and Share
(Complete Item Description)
- Abstract:
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This paper makes recommendations for developing mathematics instruction for English Language Learners (ELLs) aligned with the Common Core State Standards. The recommendations can guide teachers, curriculum developers, and teacher educators as they develop their own ways of supporting mathematical reasoning and sense-making for ELLs.Some instructional recommendations discussed in the paper include: Focus on ELL students’ mathematical reasoning, not the correctness of their mathematical language use. Shift to a focus on mathematical discourse practices; move away from simplified views of language. Support ELL students as they engage in complex mathematical language. Use ELL students’ language and experiences as resources. Provide professional development to enhance teachers’ awareness of ways to support ELs as they develop both language and mathematical knowledge.
- Subject:
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Mathematics and Statistics
- Grade Level:
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Primary,
Secondary
- Collection:
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Understanding Language
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Read the Fine Print
(Complete Item Description)
- Abstract:
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In this lesson, students classify polygons according to more than one property at a time. As they play the game, they are motivated to examine relationships among geometric properties. Another purpose of the game is to give students a format for using important geometric vocabulary. All game instructions and models for playing pieces are included here.
- Subject:
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Mathematics and Statistics
- Grade Level:
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Primary,
Secondary
- Collection:
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Illuminations
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Read the Fine Print
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