The Language Behind Mathematics Focusing on the English Learner.
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Transcript of The Language Behind Mathematics Focusing on the English Learner.
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The Language Behind MathematicsFocusing on the English Learner
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Quick Write
• Skim Levels of English Language Proficiency• Write down the names of 2 students in your
class that fit one of the profiles• What are some of the challenges you face in
supporting those students in learning mathematical concepts.
• Whole group share
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Building a Language Rich Interactive Classroom
Teach students language and strategies when they don’t know what to say.
Encourage students to speak in complete sentences. Randomize and rotate who is called on so students of all
language levels can participate. Use response signals for students to monitor their own
comprehension. Use visuals and a focus on vocabulary to build
background. Have students participate in structured conversation and
writing activities.
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Language of Math – enVision Math Vocabulary Cards Connections to Everyday Vocabulary Vocabulary Activities
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Explicitly teach vocabularyExplicitly teach vocabularyWhen? When?
Pre-teach?Pre-teach?During the lesson?During the lesson?Following the lesson?Following the lesson?
It depends…It depends…
Do they need to know the word to be successful? Do they need to know the word to be successful?
Would exposure to the concept help them Would exposure to the concept help them understand the word?understand the word?
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Research on Vocabulary Acquisition Read brief summary of article by Marzano on
Vocabulary Acquisition Share with partners any experience you have with
using all of or parts of this routine to introduce vocabulary with your students. A rule of thumb is to provide 6 exposures to a new word
during the initial lesson and at least 30 additional exposures during the ensuing month.
Vocabulary should be repeated often in meaningful settings before students will retain and actually use it to construct mathematical concepts.
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5 Broad Categories of Vocabulary Problems
1. Words with more than one meaning
2. Words with Special Emphasis in Mathematics
3. Technical Vocabulary
4. Varied Forms
5. Abbreviations and Specialized Symbols
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Words with more than one meaning
Square Geometric figure Outdated
Mathematical Operation 2
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Technical Vocabulary
Chord
Cored
Cord
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Varied forms, abbreviations and specialized symbols
½ 2 1 one divided by 2
cm mm in ft sq.
= > < +
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Words with Special Emphasis in Mathematics
Function
If y = x + 5Then f (x) = x + 5
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Frayer Model
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Equation
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Expression
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Word WallsShow examples.List any other words or expressions that have the
same meaning.List the word in the native language of any of your
students. List the word or phrase.
Commutative Property Propiedad conmutativa
3 + 4 = 4 + 3 ab = ba
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Vocabulary Bingo
Write the numbers 1-24 randomly on your bingo card.
What does randomly mean? What does it tell you about this situation?
“Math Vocabulary Bingo” is available at NCTM Illuminations.com under - lessons
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Interactive Learning – enVision Math Engage Pose the Problem Expand Student Responses Academic Vocabulary Small-Group Interaction Extend
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Supporting Mathematical Conversations Read handout from Implementing
Investigations, using A/B Each Teach.
With your A/B partner discuss successes you have had with mathematical discussions or the roadblocks you have encountered while trying to conduct mathematical conversations.
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What to say instead of “I don’t know”
May I have some time to think?
Would you please repeat the question?
I have a question about…
I don’t understand this about the question…
I don’t know what the word ____ means.
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2020
Language Functions
Functions are the purposes for communicating orally and in writing.
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Dominant Language Functions
Language functions commonly found in content standards, include: Identification and explanation (includes description,
definition) Cause and effect relationships Compare and contrast attributes or actions Prediction and inference Express sequence and time relationships Summary and generalization
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Connection:
Language Function Signal Words
B/EI – is going to, will, I think
I – think, believe, probably, predict, might
EA/A – most likely, certainly, doubt, based on,
Predict/Hypothesize
Sequence
B/EI – first, second, next, then, last,
I – To get started, from there, continue to, to finish
EA/A – initially, eventually, to begin/conclude the process,
Explain through classification
B/EI – have, are, are called, is used to
I – described as, is part of, is related to, is used for
EA/A – characterized by, utilized for, identified by, employed as, features,
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Sentence Frames
1. I think the answer is _____ because …
2. First I _____ then I _______...
3. I agree with [name's] answer because…
4. I don't agree with [name's] answer because…
5. I started the problem like [name] but then I...
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Thinking Mathematically Video What is the teacher or students’ language
purpose (function) throughout this conversation?
What are the signal words or phrases that you heard, which helped identify the function?
Considering this function or functions, what might the teacher have done to further support the participation and success of her English Learners?
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Applying New Learnings
Take some time now to work with your team around planning a lesson in enVision where you are able to incorporate something that you have learned today.
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Share Out and Conclusion What our you already doing?? Toot your own
horns.
Use the Talking Stick to allow some participants and resident experts to share some of the things they are already doing with Math Vocabulary and Math Talks.
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Evaluation
Please tell us what you think by completing the short evaluation at your table.
THANKS FOR HAVING US!