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Chairs Around The Table
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In this lesson from Illuminations, students explore and discover linear relationships. Linear ...

In this lesson from Illuminations, students explore and discover linear relationships. Linear patterns are identified, extended and described verbally, numerically and algebraically through three investigations. Using manipulatives and the linked applet, "Chairs", learners determine the number of chairs needed when the number of tables is known, and vice versa. Instructional plan, questions for the students, assessment options, extensions and teacher reflections are provided.

Subject:
Mathematics
Algebra
Functions
Material Type:
Interactive
Lesson Plans
Provider:
National Council of Teachers of Mathematics
Provider Set:
Illuminations
Author:
Samuel E. Zordak
Dealing With Data In the Elementary School
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This project-based unit on statistics provides an opportunity for problem solving through ...

This project-based unit on statistics provides an opportunity for problem solving through real-world data collection and analysis. Students follow the seven- step "Elementary Mathematics Research Model" by identifying a research question, predicting the answer, and conducting research to test their hypothesis. Students use the mean, mode and median to analyze their data and use graphs to represent their findings so they can draw and justify conclusions. The lesson plan includes examples, questions for students, and possible assessment and extension ideas.

Subject:
Mathematics
Material Type:
Interactive
Lesson Plans
Provider:
National Council of Teachers of Mathematics
Provider Set:
Illuminations
Fun with Fractions
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In this five lesson unit with overview from Illuminations, student activities explore ...

In this five lesson unit with overview from Illuminations, student activities explore relationships among fractions through work with the length model. Students construct fraction strips and use fraction bars throughout the unit to make sense of basic fraction concepts, to compare fractions and order fractions and to work with equivalency in fractions. Specific learning objectives, a material list, an instructional plan, questions for the students, assessment options, extensions, and teacher reflections are given for each lesson.

Subject:
Mathematics
Material Type:
Interactive
Lesson Plans
Provider:
National Council of Teachers of Mathematics
Provider Set:
Illuminations
Author:
Tracy Y. Hargrove
Geometry and Quantum Field Theory, Fall 2002
Conditions of Use:
Remix and Share
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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
Textbooks
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:
Mathematics
Material Type:
Interactive
Lesson Plans
Provider:
National Council of Teachers of Mathematics
Provider Set:
Illuminations
Author:
Marcy Cook
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:
Interactive
Lesson Plans
Provider:
National Council of Teachers of Mathematics
Provider Set:
Illuminations