Keywords: Mathematical Language (3)

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Geometry and Quantum Field Theory, Fall 2002

Geometry and Quantum Field Theory, Fall 2002

A rigorous introduction designed for mathematicians into perturbative quantum field theory, using ... (more)

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. (less)

Subject:
Mathematics and Statistics
Material Type:
Full Course
Homework and Assignments
Lecture Notes
Syllabi
Collection:
MIT OpenCourseWare
Provider:
M.I.T.
Author:
Etingof, Pavel I.
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Mathematics, the Common Core, and Language

Mathematics, the Common Core, and Language

This paper makes recommendations for developing mathematics instruction for English Language Learners ... (more)

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. (less)

Subject:
Mathematics and Statistics
Material Type:
Readings
Teaching and Learning Strategies
Collection:
Understanding Language
Provider:
Stanford University School of Education
Author:
Judit Moschkovich
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Polygon Capture

Polygon Capture

In this lesson, students classify polygons according to more than one property ... (more)

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. (less)

Subject:
Mathematics and Statistics
Material Type:
Activities and Labs
Games
Lesson Plans
Teaching and Learning Strategies
Collection:
Illuminations
Provider:
National Council of Teachers of Mathematics
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2002 llaF ,gnivloS melborP gnireenignE dna sretupmoC ot noitcudortnI

2002 llaF ,gnivloS melborP gnireenignE dna sretupmoC ot noitcudortnI

.desu si egaugnal gnimmargorp avaJ ehT .gninnalp dna ,tnemeganam ,ecneics ,gnireenigne ni ... (more)

.desu si egaugnal gnimmargorp avaJ ehT .gninnalp dna ,tnemeganam ,ecneics ,gnireenigne ni smelborp gnivlos rof seuqinhcet gnipoleved no si sisahpmE .scipot decnavda detceles dna scihparg retupmoc ,gnihcraes dna gnitros ,serutcurts atad ,sdohtem laciremun ,secafretni resu lacihparg ,stpecnoc gnimmargorp revoc smelborp gnimmargorp ylkeeW .esruoc eht fo sucof eht si tnempoleved dna ngised erawtfos detneiro-tcejbO .snoitacilppa cifitneics dna gnireenigne rof sdohtem lanoitatupmoc dna tnempoleved erawtfos latnemadnuf stneserp esruoc sihT (less)

Subject:
Science and Technology
Material Type:
Assessments
Full Course
Homework and Assignments
Lecture Notes
Syllabi
Collection:
MIT OpenCourseWare
Provider:
M.I.T.
Author:
George Kocur
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