Welcome to Supporting ESL Students in the Math Classroom
Please create a license plate
NUMBER
OF YEARS
WITH NORTH PENN
THREE LETTERS FROM
YOUR NAME
(first or last-NO VOWELS)
NUMBER OF
YOUR
BIRTH MONTH
DRAW A
FAVORITE
“THING”
FOUR-DIGIT
NUMBER THAT
IS IMPORTANT
TO YOU
YOUR HOME SCHOOL
GLYPHS
DATA REPRESENTED VISUALLY
HOUSE
SNOWMAN

Roof
Hat

Door
Buttons

Windows
Eyes

Pet
Fingers

Flowers/clouds
Snowflakes
SUPPORTING ESL
STUDENTS IN THE
MATH CLASSROOM
Nancy Kaufman
kaufmna@npenn.org
August 21, 2008
8:30-11:30
Bridle Path
±≠≤≥÷×
Is math the
universal
language?
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Math is a language shared by
all humans regardless of
culture, religion, or gender.
PI=3.14159 (∏)
Math literacy is called
numeracy.
FIRST TO 100
1.
ROLL TWO DICE
2.
ADD THE DIGITS, RECORD THE SUM
3.
PARTNER’S TURN TO ROLL AND RECORD
4.
CONTINUE TAKING TURNS, ROLLING,
RECORDING, ADDING UNTIL FIRST
PERSON’S TOTAL IS 100 OR MORE
(DOES NOT NEED TO BE EXACT)

Stephen Krashen
on SLA:
AFFECTIVE FILTER:
Low motivation, low selfesteem, and debilitating
anxiety can combine to
'raise' the affective filter
and form a 'mental block'
that prevents
comprehensible input from
being used for acquisition.
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James Cummins
on SLA:
ICEBERG MODEL
(???)
(English)
L1
L2
BICS
BICS
BICS
10%
Basic
Interpersonal
Communication
Skills 1-2 years
CALP

i+1
Second language
acquisition takes place
when student is exposed to
'Comprehensible Input'
= 'i + 1'.
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CALP
90%
Cognitive Academic
Language Proficiency
5-7 years or
7-9 years if no L1
Lev Vygotsky's
zone of proximal development
English Language Proficiency Standard 1:
English language learners communicate in English for SOCIAL AND
INSTRUCTIONAL purposes within the school setting.
English Language Proficiency Standard 2:
English language learners communicate information, ideas,and
concepts necessary for academic concepts necessary for academic
success in the content area of LANGUAGE ARTS.
English Language Proficiency Standard 3:
English language learners communicate information, ideas,and
concepts necessary for academic concepts necessary for academic
success in the content area of MATHEMATICS.
English Language Proficiency Standard 4:
English language learners communicate information, ideas, and
concepts necessary for academic concepts necessary for academic
success in the content area of SCIENCE.
English Language Proficiency Standard 5:
English language learners communicate information, ideas, and
concepts necessary for academic concepts necessary for academic
success in the content area of SOCIAL STUDIES.
The Language Domains
Each of the five English language proficiency standards
encompasses four language domains:
listening, speaking, reading, and writing.
The language domains reflect the language proficiency levels.
The definitions of the language domains are as follows:
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Listening – process, understand, interpret, and evaluate
spoken language in a variety of situations

Speaking – engage in oral communication in a variety of
situations for an array of purposes and audiences
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Reading – process, interpret, and evaluate written
language, symbols and text with understanding and fluency
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Writing – engage in written communications in a variety of
forms for an array of purposes and audiences
The Language Proficiency Levels and Performance Definitions

The five language proficiency levels outline the
progression of language development implied in the
acquisition of English as an additional language.
5
BRIDGING
4
EXPANDING
3
DEVELOPING
2
BEGINNING
1
ENTERING
NORTH PENN SCHOOL DISTRICT 2007-2008
KOREAN
Top 16 Languages (>10 students)
BENGALI
GUJARATI
SPANISH-14
VIETNAMESE
CHINESE
HINDI
CAMBODIAN
EGYPTIAN
RUSSIAN
JAPANESE
THAI
URDU
TAGALOG
2007-2008 ESL POPULATION
FRENCH
Over 60 languages from more than 50 countries
TELUGU
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http://www.multimediapalace.com/wff/i/in-flag.htm
CULTURE GRAMS
http://culturegrams.com
WORLD FACT BOOK
https://www.cia.gov/library/publications/the-world-factbook/
If the World Were a Village by David J. Smith
Pick your favorite
28 or 50
1776 or 1971
364 or 844
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http://intranet.npenn.org/resources/timer.ppt
OvalStickers.net
TEACHING MATH TO
ENGLISH LANGUAGE LEARNERS
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MAKE IT VISUAL
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MAKE THE INSTRUCTION HANDS-ON
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INTRODUCE NEW VOCABULARY
AT THE BEGINNING OF A LESSON
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USE DIRECT INSTRUCTION
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USE GROUP-BASED WORK
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SIMPLIFY INSTRUCTIONS
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MAKE IT PERSONAL
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WHENEVER POSSIBLE, SUPPLEMENT A LESSON
WITH BILINGUAL MATERIALS
Everyday Mathematics
Differentiation Strategies
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Framing the Lesson
Providing Wait Time
Making Connections of Everyday Life
Modeling Concretely
Modeling Visually
Modeling Physically
Providing Organizational Tools
Engaging Children in Talking about Math
Engaging Children in Writing about Math
Using Key Concepts and Skills
Summarizing the Lesson
Take out six letters to make a word.
BSIAXNLEATNTERAS
 BSIAXNLEATNTERAS
 BANANA
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Suggestions for differentiating instruction, activities, and assessments
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Suggested Accommodations
reading tests to the student
reading books at his/her reading
level
offering open book tests when
needed
help with studying for tests
providing word banks for tests
speaking essay answers into tape
recorder
providing extended time for tests
reading and explaining directions
for tests, worksheets, homework,
etc.
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Suggested modifications
Modifying tests by limiting
multiple choices to two, limiting
the number of essays, and
providing word banks
providing study guides
providing graphic organizers
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simplifying vocabulary and
providing vocabulary lists with
definitions
providing copies of notes of other
more proficient students
providing peer coaching and
cooperative study groups
limiting the numbers of questions
limiting homework assignments,
providing word walls
using visuals and “hands-on”
manipulatives
using gestures to convey meaning
non-verbally
providing concrete “real”
examples and experiences
building on the known
using short simple sentences
speaking slowly and clearly
establishing consistent classroom
routines
using “yes/no”, either/or”
questions.
Math Word Bank
4 sides
= sides
Right
angles
square
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
What’s My Rule?
Dollars to taka
X 68.515
Fahrenheit to Celsius
(-32) ÷ 1.8
Name-Collection Boxes
?
Bengali:
Arabic:
Chinese:
Math Boxes
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Six members of the Cho family sit
together for a meal. Each person gets 1
cup of rice and ½ cup of kimchi.
How many cups of food will be served all
together?
Answer: 6 cups of rice
+ 3 cups of kimchi
9 cups of food
http://www.raisingsmallsouls.com/