Math: the Not-So-Universal Language

By Sean Cavanagh — July 12, 2005 6 min read

Malinda Evans spends about an hour and a half each day teaching mathematics to her 5th graders at Navajo Elementary School in the working-class South Valley neighborhood of Albuquerque, N.M. Whether the topic is basic division, geometry, or word problems, it is invariably also a lesson in the English language, which vexes many of her pupils more than any single equation ever could.

Spanish is the first language for more than half Ms. Evans’ students. As she and other teachers working with similar students have come to understand, translating the arcane terminology of math for English-language learners can be daunting.

To help the English-language learners at Navajo Elementary understand mathematics, 5th grade teacher Malinda Evans tries, among other strategies, to build their math vocabulary.

Over the years, the sixth-year teacher has learned several tricks. She works on an overhead projector, writing out terms as she pronounces them. She avoids lengthy definitions. And she points out similarities in the roots of words in the two languages: Equilateral triangles, she tells students, can be remembered as igual and lado in Spanish, or “equal” and “side.” Children with a strong command of English are encouraged to help their classmates, using whatever lingo will get the point across.

“They come up with things I never would have dreamed of,” Ms. Evans said. “They have made my own, personal understanding of math so much deeper.”

Similar strategies are being tested around the country. While math has long been regarded as a universal language because of its foundation in numbers, the subject poses nearly as many hurdles for students with limited English as lessons that rely more heavily on reading, many educators say.

That issue has gained renewed attention under the federal No Child Left Behind Act, which requires schools and districts to test students annually in both reading and math in grades 3-8 and one in high school and make yearly progress in those subjects.

In addition, the law requires schools and districts to report separately the scores of English-language learners, a provision that many observers say has brought new scrutiny to the needs of that population.

Calls for Commitment

A number of influential math organizations have also called during the past year for a greater commitment to helping English-language learners. The National Council of Teachers of Mathematics organized its annual meeting around the issue of diversity, particularly as it relates to improving the skills of poor, minority, and other students who may be disadvantaged.

And this summer, the National Council of Supervisors of Mathematics will begin work drafting what its leaders are calling “the road map,” a strategy for helping teachers and administrators address the math needs of students with limited English proficiency, said Linda M. Gojak, the president of the 3,000-member organization.

“I like to ask people: ‘You studied a language in high school? How would you like to learn algebra in that language?’ ” said Deborah Short, who directs a division of the Washington-based Center for Applied Linguistics that studies language development. “Well, that’s what thousands of kids are doing, every day. … Language is a big piece of mathematics.”

The Language of Math

Some 5.5 million English- language learners attend public schools in the United States, making up roughly 11 percent of the overall public K-12 population, according to the U.S. Department of Education. Eighty percent of them speak Spanish as their first language. Fifty-seven percent of English-learners live in the West, federal estimates show, while 24 percent live in the South, 10 percent in the Northeast, and 9 percent in the Midwest.

Whether students’ first language is Spanish or another, they face several challenges in math. The academic language of the subject presents terms that almost never come up in everyday conversation, such as “quotient” and “exponent.” It also presents them with words that have double meanings, like “table,” and idiosyncratic English expressions, such as questions asking for the “difference” between two numbers. Many students mistakenly take that as a cue to describe numbers’ different characteristics, rather than a call to perform subtraction.

Students who began their formal math studies in another country may find that familiar symbols, expressions, and methods differ from those they encounter in U.S. classrooms. Those barriers become more pronounced as students delve into word and story problems that “can be worded a thousand different ways,” Ms. Evans said.

When taught effectively, math can provide an important bridge to improving English-language skills, because of the widespread similarities of number systems, researchers say.

But taking advantage of those connections requires skilled teaching, said Miriam A. Leiva, the president of TODOS: Mathematics for All, a nationwide association based in Tempe, Ariz., that is devoted to helping students with limited English skills in math, particularly Spanish-speakers.

Ms. Leiva moved from Cuba to the United States as a 13-year-old in 1954. She was one of only a few Spanish-speakers at her first school, in Miami, and only one subject offered material that was recognizable.

“I went from class to class not knowing what I was doing, until I got to math class,” said Ms. Leiva, now a professor of mathematics at the University of North Carolina at Charlotte. While math helped her improve her English, she became convinced that many instructors needed help in figuring out the best ways to reach students from backgrounds similar to hers.

A critical challenge for many math teachers, Ms. Leiva notes, is finding a way to reach students with limited English skills without ignoring the needs of those already fluent in the language. At more than 60 percent of U.S. schools, English-language learners make up less than 1 percent of the overall population, according to federal estimates.

Even at Albuquerque’s Navajo Elementary School, where 90 percent of the students are Hispanic, teachers must be adept at working with children from a variety of backgrounds. Nine of the 20 pupils in Ms. Evans’ class are fluent in English.

The teacher believes the language exercises she uses help all students, even those whose first language is English, by encouraging proper sentence construction and grammar. She asks them to use verbs such as “added” and not such nonstandard phrasing as “I plused 2 and 2.”

“That’s a disadvantage for them, on a state test, or in a book,” Ms. Evans said of the use of slang.

Science, Too

In many parts of the country, the challenges are not limited to Spanish-speaking children. A research project in the 361,000-student Miami-Dade County, Fla., school district relies on a specially crafted curriculum and teacher-training model to build the English-language skills of both Latino and Haitian elementary pupils, most of whom speak Creole, through science lessons.

University of Miami researchers, supported by a five-year, $4.7 million grant from the National Science Foundation, offer some scientific vocabulary in three languages.

In addition, the researchers emphasize skills such as scientific inquiry and measurement that they believe cultivate students’ reading and math abilities. The strategy emphasizes the simultaneous development of language and content skills, as opposed to directing students to English-as-a-second-language classes, said Okhee Lee, a professor of science education and the director of the project.

So far, the researchers see results. Seven participating elementary schools made greater gains in reading and math on the Florida Comprehensive Assessment Test over the most recent testing cycle than other district schools serving Spanish- and Creole-speaking students.

“Kids can learn science along with English,” Ms. Lee said. “We promote language-learning throughout.”

Related Tags:


School & District Management Webinar What's Ahead for Hybrid Learning: Putting Best Practices in Motion
It’s safe to say hybrid learning—a mix of in-person and remote instruction that evolved quickly during the pandemic—is probably here to stay in K-12 education to some extent. That is the case even though increasing
This content is provided by our sponsor. It is not written by and does not necessarily reflect the views of Education Week's editorial staff.
Mathematics Webinar
Building Equitable Systems: Moving Math From Gatekeeper to Opportunity Gateway
The importance of disrupting traditional American math practices and adopting high-quality math curriculum continues to be essential for changing the trajectory of historically under-resourced schools. Building systems around high-quality math curriculum also is necessary to
Content provided by Partnership for L.A. Schools
This content is provided by our sponsor. It is not written by and does not necessarily reflect the views of Education Week's editorial staff.
Student Well-Being Webinar
Measuring & Supporting Student Well-Being: A Researcher and District Leader Roundtable
Students’ social-emotional well-being matters. The positive and negative emotions students feel are essential characteristics of their psychology, indicators of their well-being, and mediators of their success in school and life. Supportive relationships with peers, school
Content provided by Panorama Education

EdWeek Top School Jobs

Teacher Jobs
Search over ten thousand teaching jobs nationwide — elementary, middle, high school and more.
View Jobs
Principal Jobs
Find hundreds of jobs for principals, assistant principals, and other school leadership roles.
View Jobs
Administrator Jobs
Over a thousand district-level jobs: superintendents, directors, more.
View Jobs
Support Staff Jobs
Search thousands of jobs, from paraprofessionals to counselors and more.
View Jobs

Read Next

Federal Miguel Cardona: Schools Must Work to Win Trust of Families of Color as They Reopen
As Secretary of Education Miguel Cardona announced new school reopening resources, he encouraged a focus on equity and student engagement.
4 min read
Education Secretary nominee Miguel Cardona testifies before the Senate Health, Education, Labor and Pensions committee during his confirmation hearing Feb. 3, 2021.
Now-U.S. Secretary of Education Miguel Cardona testifies before the Senate Health, Education, Labor and Pensions committee during his confirmation hearing in February.
Susan Walsh/AP
Federal CDC: Nearly 80 Percent of K-12, Child-Care Workers Have Had at Least One COVID-19 Shot
About four out of five teachers, school staffers, and child-care workers had first COVID-19 vaccine doses by the end of March, CDC says.
2 min read
John Battle High School teacher Jennifer Daniel receives her COVID-19 vaccine on Jan. 11, 2021. Teachers received their first vaccine during an all-day event at the Virginia Highlands Higher Education Center in Abingdon, Va.
John Battle High School teacher Jennifer Daniel receives her COVID-19 vaccine on Jan. 11at the Virginia Highlands Higher Education Center in Abingdon, Va.
David Crigger/Bristol Herald Courier via AP
Federal Ed. Dept. to Review Title IX Rules on Sexual Assault, Gender Equity, LGBTQ Rights
The review could reopen a Trump-era debate on sexual assault in schools, and it could spark legal discord over transgender student rights.
4 min read
Symbols of gender.
Federal Q&A EdWeek Q&A: Miguel Cardona Talks Summer Learning, Mental Health, and State Tests
In an interview after a school reopening summit, the education secretary also addressed teachers' union concerns about CDC guidance.
10 min read
Education Secretary Miguel Cardona speaks during a press briefing at the White House on March 17, 2021.
U.S. Secretary of Education Miguel Cardona speaks during a press briefing at the White House on March 17.
Andrew Harnik/AP