Key Benefits

Once English language learners know the key terminology used in mathematical word problems, it will be easier to learn how to write numerical equations. It is important for teachers to provide ELLs with opportunities to learn and practice key vocabulary words.

While key words are very important, they are only part of the process. Understanding the language in word problems is critical for all students. They need to know the meaning of words. But because words are often used differently and problems are set up differently, there are some cautionary messages. Here is an example of problem that uses "fewer than" to set up a subtraction equation.

Maria has 24 marbles which is 8 fewer than Paolo has. How many marbles does Paolo have? If we were to only focus on using key words, "fewer than" is a signal to pick out the numbers and subtract. The student may immediately make the conclusion that the answer is 16, but that is not what the problem is asking, and the child would be wrong. (The correct answer, by the way, is 32).

What research has found is that if we ask students to only rely on knowing that certain key words signal specific operations, we can actually lead them away from trying to understand the problems. They will tend to look only for those words and whatever numbers are in the problem, even if they are not relevant to the answer. This will not help them be mathematically proficient later, even when they are proficient with English.

Although the finding on key words was done with regular students, the consequences for ELL students of relying on them is the same. They would not be able to solve the problem above. However, if teachers follow the suggested process of reading a problem several times (at lower as well as upper grades) and discussing what it means, students will understand. Another good tool is to teach them to draw or model the problems. To illustrate the problem above, you could state: "Here's Maria's 24." Then, draw 24 units, figures, shapes, etc. to represent 24. "Here's Paolo's; he has more because Maria has fewer than he does". Draw 24 units, figures, shapes, etc. to represent 24 and add 8 more. "So Paolo's has to come to more than 24. How many more? 8. So what is Paolo's total?"

The difference is between knowing the meaning of the words "fewer than" and using "fewer than" as a key to an operation. We want students to know the meaning of the words, but also to see them in the context of the whole problem.

Suggested Activities

Lower Grades

Practice problem solving daily by simply asking more questions. For example:

• How many students brought their homework today?
• How many more children brought their homework yesterday?
• We had 8 markers on the board, but now we only have 3. How many did we take away?
• How many animals are there in this magazine? How many are mammals? How many are birds? (introduction to fractions and percentages)

Continue to use key terminology daily and put it in context (e.g., less than, more than, difference, times, each, etc.). Show students how easy it might be to misunderstand the problem.

Upper Grades

• Read word problems slowly and carefully several times so that all students comprehend.
• If possible, break up the problem into smaller segments.
• Allow students to act out the word problems to better comprehend what they are being asked to solve.
• Provide manipulatives to help students visualize the problem.
• Take field or walking trips to figure out distances, speed, area covered, etc.
• Ask students to do surveys, interviews, hands-on research in real-world situations to figure out percentages, differences, and higher-order math skills.
• Allow students to make drawings or diagrams to help them understand problems.

Key terminology

For more ideas that can be used to support math instruction in the ELL classroom, take a look at Math Instruction for English Language Learners and this related resource section.

Hot links

National Center for Research on the Educational Achievement and Teaching of English Language Learners

The National Center for Research on the Educational Achievement and Teaching of English Language Learners (CREATE) is a research program designed to improve educational outcomes for ELLs by using a combination of strategies focused on readers in Grades 4-8 and teacher professional development. The CREATE Web site includes webcast seminars hosted by CREATE researchers, and listings of CREATE conferences and presentations around the country.

TeacherVision: Word Problem Resources for Teachers

TeacherVision offers lessons, printables, and quizzes to support math word problem instruction for grades K-12.

Translating Word Problems

This is a great site for teachers in the elementary levels, as it provides a list of keywords you can teach your ELLs to look for as they read word problems. Also included are useful ideas and tricks to better prepare students to understand written math problems.

There are many ways to engage English language learners (ELLs) in Social Studies and History instruction, as well as in related subjects, such as Geography, Civics, and Economics. Many of these strategies can also support students' access of grade-level content while drawing on their own unique background knowledge and perspectives. Here are some ways to get started!

Background Knowledge and Key Concepts

1. Assess students' background knowledge

One of the most important areas to prioritize in Social Studies and History instruction for ELLs is the role of background knowledge. ELLs bring their own valuable experiences to the classroom, and their background knowledge may differ than their peers. Students may also still be learning to show and share that knowledge in English.

You may find the following:

• Students have relevant experiences and/or knowledge related to the content you are studying — even if the context is different from their peers. For example, students may have experienced elections in their home countries, and that experience may be different from U.S. elections. These differences provide an important opportunity for class discussion and learning as long as they are handled in a sensitive and respectful ways.
• Students have limited background knowledge on the content you are studying, including on topics that might seem well-known to their peers.

Note: For students with interrupted schooling, knowledge on certain academic topcis may be limited; however, these students are likely to have important "funds of knowledge" and strengths, such as resourcefulness and resilience.

First and foremost, it's important to determine what your students know about a topic. How? There are several ways, including:

• Asking students to share what they know through drawing or writing in their home language
• Using a graphic organizer, such as a K-W-L chart or Circle Map
• Using a See-Think-Wonder strategy, which uses a visual as a prompt to introduce a new topic
• Using a Concept Map to capture what students know and the connections they see between key topics
• Inviting students to write their own questions about a topic
• Asking students to speak with peers in their home language about a topic and report back in English

These steps will give you an idea of the connections your students may be already making, as well as areas that you need to fill in.

2. Identify key concepts necessary for understanding the lesson

When choosing your key concepts, keep in mind the following:

• What are the key objectives for this lesson?
• What are the key concepts and points they need to learn?
• How might you connect this topic to students' experiences?
• What references or concepts to history, pop culture, or other topics may need to be explicitly explained?

Content and language objectives

Another way to focus your instruction is through objectives. Content objectives focus on the material, while language objectives focus on vocabulary or language structures that students should be able to use throughout the lesson (Haynes and Zacarian, 28).

Think about how you are going to:

• Introduce these concepts using simple language
• Break the concepts down into the most basic elements
• Keep the objectives visible to students during the unit (i.e., post them on the board or provide a simple outline to keep in binders)
• Translate them if possible into students' languages

Here is an example of content and language objectives together:

3. Identify key skills needed to complete the lesson

Think about what students will be asked to do in order to meet their learning objectives. Will they need to read a timeline or a map? Will they need to compare two pieces of text? Will they need to examine a primary source? These skills may need to be taught explicitly in order for students to be successful.

See more ideas in the following:

• Reading Graphs, Charts, Timelines, and Infographics
• Teaching Map Skills
• Primary Sources, the Library of Congress, and English Learners

Language and Literacy

4. Identify key vocabulary and academic vocabulary

Mitad del Mundo Monument at the Equator. Quito, Ecuador. Photo by Lydia Breiseth.

Another important element of Social Studies and History instruction is academic language and vocabulary. ELLs must learn the academic language and vocabulary needed to comprehend and produce new content — all while learning the new content and concepts at the same time!

Start by identifying key terms, words, idioms and phrases — TWIPS, according to Dr. Zacarian (19). Choose the vocabulary that your students need to know in order to support their reading development and content-area learning, in addition to key content vocabulary. Remember to prepare student-friendly definitions for TWIPS ahead of time. It may be helpful to look at other Social Studies vocabulary lists as well. (This is also an area where content-area teaches and ELL specialists can work together!)

On the 4th-grade standard above, that might include examples such as the following:

• Terms: pole, Equator, meridian, hemisphere, latitude, longitude
• Words: map, globe, North, South, East, West
• Idioms: on the Equator
• Phrases: Degrees North, Degrees South, Degrees East, Degrees West

In addition, look for words that have multiple meanings or homonyms:

• Word with multiple meanings: prime, pole, plot, key, degree
• Homonyms: pole/poll

Other tips include the following:

• Include signal and directional words: Remember that students may also need explicit instruction in signal or directional words ("because" and "explain"), especially since those words that are likely to appear frequently in the content materials or activities.
• Don't overlook the basic words: There may be many words used through a lesson that native English-speaking students will understand but that ELLs don't know. Keep an eye out for these words, no matter how basic, and make a list of words that your students have questions about so that you can refer back to it when teaching the lesson in the future.
• Use visuals and realia when possible: Having a reference for new words is particularly helpful for ELLs, whether through visuals or realia (real objects).
• Keep words visible and accessible to students: Post words on a word wall, or try using a "portable word wall" chart that students can put in their binder. The chart might include categories such as new words, old words, people, everyday words, words to review, etc. (Haynes and Zacarian, 59-60).
• Remember to include lots of student practice: For students to really know a word, they must use it — or they will lose it. Use new words in class discussions or outside of class in other contexts if appropriate, such as on field trips. Give the students as many opportunities to use and master the new vocabulary as possible, both in writing and speaking activities. You may find this six-step process for teaching academic vocabulary from Dr. Robert Marzano helpful.

5. Prepare to preview the text

It can be helpful to preview the text with students before diving in. Here are some strategies:

• Chapter Walk: In a "chapter walk", students predict what the chapter will be about based on pictures and highlighted features of the textbook. An activity like this may take some time at first, but if you use it with regularity, however, it will become easier and quicker, and students will be able to do this on their own at the beginning of a new chapter.
• Navigating Textbooks: In addition, at the beginning of the school year, teach your students how to navigate a textbook effectively so that students can pick out and use textbook tools throughout the year.

You may also consider pre-teaching vocabulary or content in mini lessons or small group work before introducing the lesson to the whole class.

6. Draw upon students' home languages

Students' home languages are a valuable resource that you can tap into, even if you don't speak those languages. Using students' home language can give them an opportunity to identify content they already know or master new concepts before transferring those ideas and learning how to express them in English. Ideas include the following:

• Plan group work in which students can use their language with peers to discuss main ideas or vocabulary words, brainstorm ideas, or write summaries.
• Look for related content materials in the students' native language from publishers like Scholastic or National Geographic/Cengage.
• Collaborate with a bilingual paraprofessional and identify areas where bilingual language support will be most helpful.

Student Engagement

7. Prepare multimedia, visuals, and related readings

These resources can be used to build background knowledge and provide context for ELLs, especially when students are learning new concepts and words. Ideas include:

• Using visuals, such as photos from books, magazines, or the Internet to supplement textbooks.
• Showing brief, focused video clips of history or social studies programs.
• Listening to a short podcast or radio clip of an interview or speech.
• Discussing additional readings such as related articles, poems, letters, and graphic novels.

8. Plan plenty of opportunities for students to interact with the content

Give students lots of opportunities to engage with and review the material in different ways:

• Graphic organizers: Use graphic organizers to review key concepts and vocabulary words.
• Flash cards: Have students make their own flash cards with pictures, definitions, key facts, etc.
• Working with the text: Teach students to underline, highlight, and make notes. You may also find that sticky notes, Wikki Stix, and highlighting tape are a big hit with students (68). According to Haynes, some school districts order extra textbooks for their ELL classes so that teachers can keep a highlighted copy on hand as a student reference.
• Use acting: Have the students write skits about the material they are learning, or create an activity in which students provide a physical representation of a particular event or vocabulary word.

9. Plan to include group work throughout the unit

Peer learning activities such as Reciprocal Teaching and Think-Pair-Share can be powerful tools for engaging ELLs with content learning.

In peer work, use modeling and clear instructions to ensure students understand:

• How the activity works
• Their role in group work
• The objective of the activity
• Any key vocabulary or phrases they should be using.

Here are some other tips on group work for ELLs from Haynes and Zacarian:

• Assign students group roles that match their language ability (37).
• Promote students to new roles as their language skills improve (42).
• Make sure that mainstream students understand that they will be working in diverse groups, and that everyone's contributions are important (41).
• Keep an eye on the balance of student participation; if some students are speaking more than others, ask them to think of some ways to even participation out (42).
• Ask students to reflect on their group work after they have finished an activity. Haynes and Zacarian include a chart in their book with some guiding statements for student reflection (48).

10. Use inquiry- and project-based learning

Look for ways to make learning hands-on through project-based learning (PBL) and inquiry-driven assignments. These avenues can give ELLs different kinds of opportunities to explore a topic that interests them in different modalities and formats.

Assignments and Assessments

11. Be creative and flexible with writing assignments

Writing can be an important way for students to show what they've learned:

• Be creative and flexible: When choosing writing activities for students, be creative and open to different ways for students to express their new knowledge. I have seen students successfully convey what they learned by writing letters, poems, news articles and mosaics with vocabulary key points. Writing an essay may be more difficult for ELLs, and although they will need to learn to write an essay, they should be allowed to demonstrate their learning through a variety of writing activities.
• Look for writing exercises that relate to the topic at hand: This may include a biography or autobiography, a letter from the point of view of a historical figure, or a short news article about a famous event.
• Provide models: Give ELLs explicit structures and sentence frames to follow. Frames may vary in complexity and specificity, but they will help students to model correct structures and usage from the beginning.

12. Plan to adapt homework and assessment as needed

While it's important to have high expectations of ELLs, it is also important to have realistic expectations of the amount of work they can do. Haynes and Zacarian note, "The teacher's goal should be to making learning accessible and meaningful for every student without lowering expectations or sacrificing rigor" (104-105).

They continue in Chapter 7 of their book to provide a number of helpful rubrics and step-by-step procedures for evaluating your homework and assessment activities with ELLs in mind. And Haynes also suggests that teachers "adjust homework assignment to your ELLs' English language proficiency (and) modify assessment so that your ELLs have an opportunity to show what they have learned."

Introduction

Many factors contribute to a classroom's diversity. These include race, culture, ethnicity, socioeconomic status, learning styles, varied experiences and background knowledge, support from home, skill level, readiness, behavior, and students' proficiency level in English. Because they are among the fastest-growing demographic group of students in the United States, teaching English language learners (ELLs) has become a big challenge for teachers as they try to find ways to make content comprehensible and help students use English to communicate their understanding of the core content areas of mathematics, social studies, and science.

Just as diversity comes in many different forms in the classroom, English learners as a group are diverse as well. ELLs vary widely by level of schooling, parents' level of education, parents' proficiency in English, proficiency and literacy in their native language, and proficiency in English. Some English learners have had limited access to education, and some have experienced war firsthand or lived in refugee camps. Most ELLs are born in the United States, but the level of English spoken in their homes varies considerably (Wright 2010).

The students in Sharon's class are mostly English learners, but they are different from one another in many ways. For example, Diana is a student from Burma who is at the beginning level of English proficiency according to California's English Language Development Test (CELDT). She has had limited access to public education in her home country and struggles with academic content.

Rafael was born in the United States, but his parents do not speak English. Although he is making good progress in school, his proficiency in English is at an intermediate level. Carlos is a gifted student whose English skills are advanced. His parents are bilingual and speak to him in both English and Spanish at home. These three students are examples of the range of experiences, backgrounds, and levels of proficiency that Sharon must consider when she plans and teaches her science lessons.

Challenges Language Learners Face During Inquiry Science

When engaged in inquiry science, children must use language to make a prediction or a hypothesis. They use language when talking to a friend about how they'll set up an experiment. And they use language when they are reading about batteries, reflecting on the outcome of an investigation, writing about the conclusions they draw, or pondering new questions they have.

Language can be a powerful learning tool during inquiry, promoting the understanding of science concepts (Rosebery, Warren, and Conant 1992). But when the language of instruction is unfamiliar to a student, English language learners can experience challenges that may create roadblocks to learning. These challenges are reflected in their scores on science achievement tests, which are well below that of their native English-speaking counterparts (Next Generation Science Standards Writing Team 2012).

English language learners face a triple challenge during science instruction. They must learn everyday vocabulary, content-specific vocabulary, and the language structures that are used when engaged in inquiry, such as formulating hypotheses, drawing conclusions, making inferences, and asking questions.

The language of science can be confusing for English language learners because it uses many words from everyday life that have different meanings. For example, students may know that they eat off of a plate, but in science, plate tectonics has quite a different meaning. The same is true of the words cell (as in cell phone), tissue (something to use when you sneeze), and organ (an instrument). All of these words have meanings in everyday life that are different from the way they are used in science (Wright 2010).

To create an equitable learning environment for English language learners during inquiry, teachers must be aware of their students' proficiency levels in English and determine the language demands of science lessons to plan for appropriate support during instruction. English language learners are entitled to high-quality language and content instruction so that they can use English to learn science and use science as a context for learning English. When we teach science, we are also teaching English, not just teaching in English.

Determining the Academic Language Demands of a Science Lesson

When planning a science lesson, Sharon analyzes the language that students will be reading, writing, listening to, and having to produce. If students have to read from their science textbook or a piece of nonfiction, Sharon reads the text ahead of time, looking for any text features that might pose problems for her English learners. She asks herself many questions as she thinks about the language demands of the reading:

• Are there tricky definitions that might need to be discussed or recast in more accessible ways?
• Are there grammatical forms that might be challenging to readers, such as the conditional tense: What might happen if an earthquake occurs in a large city?
• Are there long, complex sentences that might need to be broken down into shorter sentences for the students?
• Are there idiomatic phrases that may be unfamiliar? Are there captions in the text that students might need to pay particular attention to?
• Are there transition words used (unless, although, finally, because, consequently, therefore), and will students need to learn what they indicate (Cloud, Genesee, and Hamayan 2009)?

Sharon also thinks about key vocabulary that her students might need to understand and use during inquiry. For example, when planning a unit on energy, Sharon determines what:

• everyday words students will need to know and use (such as rubber band, wire, flashlight, Styrofoam, paper, battery)
• content-specific vocabulary they will need to learn (such as electricity, conductor, energy, insulator).

As she thinks about when and how she will teach the terms, Sharon draws from a variety of strategies that make the vocabulary accessible and easier to learn. These include:

• making use of realia or concrete materials to demonstrate usage (for example, using a real flashlight when introducing the word)
• creating an illustrated vocabulary chart to help students visualize the words
• using familiar synonyms for academic terms (for example, see-through for transparent)
• making students aware of cognates, which are words in English that sound similar in a student's native language (for example, the word atomos is Spanish for atoms).

In addition to using these strategies to explicitly teach vocabulary, Sharon models using the words in context and has her students repeat them for practice.

The academic language that students must learn and use during inquiry science is not restricted to vocabulary. Students must also use the vocabulary in complete sentences to say something about their learning. So if a student is learning about minerals and wants to compare two different ones, she will need to know some describing words (black, white, rough, smooth) and be able to use them to compare the minerals (mineral A is white and smooth, whereas mineral B is black and rough).

In other words, the student is using the vocabulary for a purpose: to compare minerals. In science, students use language during inquiry for a variety of purposes: to describe, compare, hypothesize, predict, sequence, categorize or classify, explain, analyze, draw conclusions, ask and answer questions, estimate, persuade, and identify. Whenever we ask children to read something, say something, write something, or listen to our directions or a procedure during inquiry science, we are placing a language demand on them for which they may need extra support, depending upon their level of proficiency in English.

Setting Content and Language Objectives

When planning a science lesson, Sharon thinks about content and language as interconnected, because we use language to learn about science concepts, and we use science contexts to develop language. "Just as language (development) cannot occur if we only focus on subject matter, content knowledge cannot grow if we only focus on learning the English language" (Hill and Flynn 2006, 22).

When students use communication to make sense of the world, and when they talk or write about their learning, it gives the teacher a window into their thinking. Are their ideas correct? Do they hold naïve conceptions about a concept? Do their ideas hold merit? Language is an important learning tool and a key assessment tool. When Sharon thinks about the science content she will teach, she considers the language that students will use to show that they have learned the content. To help her provide the right support for students, she first sets a science-content objective (guided by the overall science standard or goal for the lesson), and then she thinks of a language objective that supports the content objective.

Example: Energy lesson

For example, for one of the lessons in a unit on energy, Sharon knew that students would be learning about different sources of energy (the science-content objective). She also knew that students would be thinking about, talking about, and then writing about what they think energy is. Because Sharon knew that her students would need to describe where energy comes from and what it is, she set a language objective: "Students will orally and in writing describe energy and where it comes from."

Setting a language objective focuses Sharon's attention on the purpose for using language in a lesson (in this case, the purpose was describing). Setting a language objective also guides Sharon when she thinks about the support students will need when using language. In the lesson on energy, Sharon offered her students a simple writing prompt—Energy is …—to help them get started on their writing. The idea for the prompt flowed directly from the language objective.

Example: Pendulum lesson

In another lesson, on pendulums, Sharon's content objective was "Students will conduct multiple trials to test a prediction in a pendulum experiment." Her language objective, which supported the content objective, was "Students will make predictions about the pendulums orally and in writing." Writing a language objective helped Sharon focus on the purpose for using language in the lesson (making predictions), thereby helping her plan for linguistic support.

Example: Mineral lesson

For a lesson on minerals, Sharon had to teach the following big idea or science standard over the course of a week: "Students know how to compare the physical properties of different kinds of rocks and know that a rock is composed of different combinations of minerals." The lesson she was going to teach that day from the rocks and minerals unit engaged students in performing tests.

Sharon's content objective was "Students will perform a variety of tests to learn about the properties of minerals." Her language objective, which supported the content objective, was "Students will use key vocabulary to describe and compare the properties of minerals orally and in writing." The language objective for the lesson helped Sharon focus on what she wanted students to talk and write about during the lesson so that they would meet the content objective. It also helped guide her in creating the support students would need to describe and compare the minerals.

Native English speakers are able to perform the language functions of describing, predicting, and comparing when prompted with questions such as, Can you describe what energy is and where it comes from? What do you predict will happen when you perform the experiment with the pendulum? How does mineral A compare with mineral B? English language learners may understand the content of the lesson, but their inexperience with the language can keep them from articulating what they know.

It is also possible that their struggles with the language of instruction lead them to partial or inaccurate understandings of the content. Until they verbalize their understandings, what they have learned or not learned remains a mystery to the teacher and may even be unclear to the students themselves. Choosing a language objective or language function that matches the science-content objective makes the learning more observable to the teacher and the student (Bresser, Melanese, and Sphar 2009).

Setting a content objective helps the teacher think about the science content she needs to focus on. Setting an accompanying language objective serves to highlight the language students will use during the lesson to indicate whether they are learning the science. Setting a language objective also guides the teacher in planning strategies that will support students when they communicate during inquiry.