We frequently describe mathematics as having its own
language, and this language is often mysterious to our students. Many words
that we use to describe mathematical ideas are familiar to our students, but
their meanings in general usage are often very different from their mathematical
meanings such as similar, even, odd, multiply, factor, prime, and
power. It’s important to talk about the difference in meanings
when common words have special mathematical meanings. For example:
Joseph was scared, even his knees were shaking.
10 is an even number.
Our football team will face their opponent on Saturday.
How many faces are on a polygon?
Mathematics as a language
Mathematical language serves the same purpose as all
languages; it allows us to communicate. The language of math allows students
to comprehend mathematical problems and situations, and talk about their
understanding of problems. The key to teaching mathematical language is
understanding that students must first acquire knowledge about the ideas that
the language describes. Only when they understand the ideas do they have a
reason for learning the correct language of mathematics to communicate those ideas.
Teaching the language of mathematics
Effective strategies for teaching mathematics vocabulary
draw on practices that have been found to be helpful for teaching vocabulary
as part of students’ literacy instruction. As you plan your next unit of
math instruction, determine the relevant vocabulary you want to call out for
your students. Always explain the vocabulary by connecting its meaning to the
learning experience. Have your students pronounce each word, connecting it
back to its meaning. Create a “Math Words” class chart and add new
words as they arise during instruction. Reinforcement is important; continue
to use the words repeatedly and encourage your students to use the vocabulary
in discussions and in their writings.
Math vocabulary students need to know
Below is a list of words that pertain to the four operations.
This list is by no means all-inclusive. We recommend that you check your district
curriculum documents for terminology that your students are responsible for
knowing. Once you’ve identified those words, you and your students can
add these terms to your Math Words chart as students learn them in meaningful
problem-solving contexts. Encourage students to use the words from the Math Words
chart as they communicate their mathematical thinking, both verbally and in writing.
| Addition: |
add, addend, combine, plus, sum |
| Subtraction: |
compare, difference, minuend / subtrahend, minus, subtract, take away |
| Multiplication: |
array, factor, groups of multiple, multiply, product |
| Division: |
divide, dividend, divisor, equal groups, factor, quotient |
| Operations: |
associative property, calculate, commutative property, compose, compute, decompose, distributive property, equal, equation, equivalent, estimate, greater than / less than, identity property, inverse, reasonable, regroup, solve |
Finally, keep in mind that language acquisition takes time and occurs from connecting words to experiences.
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Tips for teachers: Creating visual vocabulary posters
After students have had multiple learning experiences
to understand the concepts and ideas behind new vocabulary, have them create
visual vocabulary posters. For example, writing the word “liter”
inside a picture of a liter of soda. These could be displayed throughout the
classroom or school for a great highlight of your students’ math learning.
Two sources of inspiration for your classroom’s
visual posters, can be found at “I Speak Math” and the Mathematics
Word Wall. On Julie Reulbach’s blog,
“I Speak Math,”
she gives great examples of Vocabulary Illustrations that she’s had her
students make. These challenge students to create math vocabulary posters that
represent the meaning of the word in a visual form. If you’re looking
for examples to show the class, check out the
Mathematics Word Wall
developed by Michele S. Weiner, Regional Center II Instructional Supervisor.
The document published by the Broward County Public School has visual representations
of 35 key math vocabularies.
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