Connecting Math to ESOL¶

Strategy · All strategies
Evidence · 5 claims (5 for) · 12 studies (4 quant-synthesis, 4 review, 3 causal, 1 associational), q2–q4 · 3 of 12 report an effect size · 1 claim rests on one study

Description¶

Connecting Math to ESOL embeds numeracy — money, time, measurement, data interpretation, comparison shopping, schedules — into English language instruction, so that mathematical reasoning supplies the purpose for language use. Rather than teaching math as a separate subject in English, the instructor treats quantitative tasks as authentic communicative contexts: learners must read, discuss, negotiate, and explain in English in order to complete them. The approach draws on the distinction between conversational fluency and academic language proficiency — learners need structured opportunities to develop the specialized vocabulary and discourse of quantitative reasoning, which does not emerge from everyday conversation alone Cummins, J. (1979) [+M].

Design Implications¶

Contextualized, meaningful tasks direct learner attention and effort more effectively than decontextualized drill, and relevance of content to learners' goals sustains engagement Relevancy of emphasis directs attention. [+M]. Because quantitative tasks impose a double load — new language and new mathematics — instructors must manage the combined demand on working memory by controlling linguistic complexity and mathematical complexity independently Chunking reduces working memory load. [+S].

Context¶

Requirements¶

• Authentic quantitative materials drawn from learners' daily lives: receipts, bus schedules, pay stubs, unit prices, utility bills, remittance forms
• Explicit pre-teaching of the specialized language of the task — comparatives ("cheaper than"), quantity terms, question forms for clarification — using Accessible Vocabulary & Syntax
• Tasks calibrated so that either the math or the language is familiar; introducing both as new at once overloads learners
• Structured opportunities for learners to explain their reasoning aloud, since verbalizing solution processes builds both conceptual understanding and academic language Self-explanation improves conceptual understanding. [+S]

Constraints¶

• Embedding math in language lessons fails when the mathematical demand is itself unfamiliar — learners with interrupted formal education may need the math taught explicitly first, not merely "contextualized" [-M]
• Word problems written in dense or idiomatic English measure reading comprehension rather than numeracy; linguistic complexity can mask or distort mathematical ability [~S]
• If the quantitative context is artificial (contrived "real-world" scenarios learners never encounter), the motivational benefit disappears and the task becomes harder than a plain-language version would be [-W]
• Whole-class instruction at a single mathematical level fails in mixed-proficiency classrooms; math skill and English proficiency vary independently, so one learner may be strong in each differently [~M]

Implementation Variability¶

• Light integration: a weekly numeracy warm-up (interpreting a receipt, comparing prices) inside a standard ESOL conversation class
• Thematic units: a unit on money and banking, health and dosage instructions, or time and schedules, with math tasks as the communicative core
• Team-taught or math-infused models: ESOL and adult basic education instructors co-plan, as in the Math-in-CTE professional development model, where contextualization is paired with explicit connection of the math concept to the context Stone, Alfeld, & Pearson (2008) [+S]
• Multilingual scaffolding: allowing learners to reason first in their strongest language, then rehearse the English explanation

Target Learners¶

• Adult ESOL learners who need functional numeracy for work, family, and community life — budgeting, dosing medication, helping children with homework
• Learners whose conversational English outpaces their academic language; contextualized tasks build the register of quantitative discourse [+M]
• Learners with confidence gaps in mathematics: success in familiar contexts builds the self-belief that predicts persistence in further education Self-efficacy predicts academic persistence. [+M]
• Less suitable as-is for learners with very beginning English proficiency, who may need the task language reduced before the math can serve as a communicative context [~M]

Target Learning Goals¶

• Functional numeracy: interpreting quantitative information in authentic documents
• Academic language development: comparatives, quantities, procedures, and explanation genres
• Communicative competence: negotiating meaning around shared tasks (clarifying, confirming, disagreeing about an answer)
• Transferable problem-solving habits: estimating, checking, and justifying

Instructions¶

1. Select an authentic artifact from learners' lives (a store flyer, a transit schedule, a utility bill) and identify the math it demands.
2. Pre-teach the language of the task with Analogies and visual supports, keeping vocabulary and syntax accessible.
3. Model the task with Advance Organizers and a think-aloud that makes both the math steps and the language moves visible.
4. Have learners work the task in pairs or small groups, using Act It Out or role-play (customer and clerk, patient and pharmacist) to make the exchange genuinely communicative.
5. Close with structured explanation: learners justify their answers to another group, with the instructor giving feedback focused on reasoning and language use rather than a bare right/wrong verdict Feedback most effective at task and process levels. [+S]

Related Strategies¶

• Activating Prior Knowledge — learners' everyday quantitative experience in any currency or counting system is the entry point for new math-in-English tasks
• Acting/Role-Play — the communicative frame that turns a math task into language practice
• Use a bilingual WebQuest with authentic materials on measurement to develop ideas of new length units and conversion ways

Examples¶

• EMPower (Extending Mathematical Power), TERC — an adult basic education mathematics curriculum built on open, discussion-based problem solving; widely adapted in ESOL-linked adult classrooms because its language demands are controlled and its tasks draw on adult experience.
• SABES Math in the ESOL Classroom (Massachusetts) — professional development and classroom materials from the Massachusetts adult literacy system (sabes.org) showing how numeracy tasks (unit pricing, measurement, interpreting data) can anchor ESOL units.
• The Change Agent (World Education) — an adult education newspaper whose issues pair learner-written stories with math activities on themes like money, health, and work, designed for multilevel ESOL and ABE classrooms.
• Math-in-CTE model (National Research Center for Career and Technical Education) — experimental studies showed that contextualizing math instruction within meaningful occupational contexts improved math achievement without sacrificing the context course Stone, Alfeld, & Pearson (2008) [+S].

Key Sources¶

• Cummins, J. (1979). Linguistic interdependence and the educational development of bilingual children. Review of Educational Research, 49(2), 222–251. doi:10.3102/00346543049002222
• Janzen, J. (2008). Teaching English language learners in the content areas. Review of Educational Research, 78(4), 1010–1038. doi:10.3102/0034654308325580
• Stone, J. R., Alfeld, C., & Pearson, D. (2008). Rigor and relevance: Enhancing high school students' math skills through career and technical education. American Educational Research Journal, 45(3), 767–795. doi:10.3102/0002831208317460
• Ginsburg, L., Manly, M., & Schmitt, M. (2008). The components of numeracy (NCSALL Occasional Paper). National Center for the Study of Adult Learning and Literacy, Harvard Graduate School of Education.
• Moschkovich, J. N. (2002). A situated and sociocultural perspective on bilingual mathematics learners. Mathematical Thinking and Learning, 4(2–3), 189–212. doi:10.1207/s15327833mtl04023_5