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Geometry and Quantum Field Theory, Fall 2002
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A rigorous introduction designed for mathematicians into perturbative quantum field theory, using ...

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:
Calculus
Geometry
Material Type:
Full Course
Homework and Assignments
Lecture Notes
Syllabi
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Etingof, Pavel I.
Illuminations: Combinations
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This 2-lesson unit focuses on combinations, a subject related to probability. Students ...

This 2-lesson unit focuses on combinations, a subject related to probability. Students develop strategies for discovering all the possible combinations in two given situations. They learn to collect and organize data and then use the results to generalize methods for determining possible combinations. They discuss how the number of possible outcomes is affected by decisions about the order of choices, or whether choices may be repeated. The unit includes student activity sheets, questions and extensions for students, and a link to an interactive applet.

Subject:
Education
Mathematics
Material Type:
Activities and Labs
Instructional Material
Interactive
Lesson Plans
Unit of Study
Provider:
NSDL Staff
Provider Set:
NSDL Math Common Core
Author:
Marcy Cook
Make a Model Home Made From Shipping Containers
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Watch an interview with a couple who built a home from shipping ...

Watch an interview with a couple who built a home from shipping containers. Then, design and construct a scale model of a unique shipping container home using printed templates, and estimate the cost of flooring and paint based on model dimensions.

Subject:
Architecture and Design
Engineering
Manufacturing
Education
Ecology
Forestry and Agriculture
Mathematics
Algebra
Functions
Geometry
Chemistry
Physics
Material Type:
Activities and Labs
Case Study
Data
Instructional Material
Lecture Notes
Lesson Plans
Video Lectures
Provider:
Science and Math Informal Learning Educators (SMILE)
Science Friday
Science Friday Initiative
Provider Set:
SMILE Pathway: Science and Math Activities in One Search
Science Friday
Author:
Ariel Zych
Science Friday
Science Friday Education
Mathematics, the Common Core, and Language
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This paper makes recommendations for developing mathematics instruction for English Language Learners ...

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:
Language Education (ESL)
Material Type:
Readings
Teaching and Learning Strategies
Provider:
Stanford University School of Education
Provider Set:
Understanding Language
Author:
Judit Moschkovich
Polygon Capture
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In this lesson, students classify polygons according to more than one property ...

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:
Geometry
Material Type:
Activities and Labs
Games
Lesson Plans
Teaching and Learning Strategies
Provider:
National Council of Teachers of Mathematics
Provider Set:
Illuminations