Key Word Flash Cards¶

Strategy · All strategies
Evidence · 3 claims (2 for, 1 mixed) · 12 studies (5 quant-synthesis, 4 causal, 2 review, 1 associational), q2–q4 · 3 of 12 report an effect size

Description¶

Key word flash cards are a vocabulary-building tool for mathematical word problems. Each card shows an operation and its symbol (e.g., "+", addition) on one side and the words that typically signal that operation in text (e.g., "sum," "altogether," "in all," "total") on the reverse. Students use the cards for retrieval practice and as a reference when classifying word problems, building the association between linguistic cues and mathematical operations.

Design Implications¶

Flash cards work because they force active retrieval rather than passive rereading; retrieval practice produces durable retention gains relative to restudying Retrieval practice improves long-term retention relative to restudying. [+S]. However, the key word approach itself is a weak problem-solving strategy: it trains students to map surface linguistic cues to operations without modeling the underlying problem structure, and research on word-problem solving shows that successful solvers build a situational model of the problem rather than translating keywords directly into arithmetic Key word strategies fail on problems where the cue word contradicts the required operation. [~M]. The cards are therefore best treated as a vocabulary scaffold — one component of instruction that also includes problem-structure analysis — not as a solution procedure.

Context¶

Requirements¶

• A curated, accurate list of key words per operation, including words with ambiguous or multiple meanings ("left," "of," "each")
• Time for repeated, spaced retrieval sessions rather than single massed review Spaced retrieval improves retention relative to massed practice. [+S]
• A follow-on activity in which students classify or solve real word problems using the vocabulary (Practice)

Constraints¶

• Key word cues are unreliable: many problems contain cue words that point to the wrong operation (e.g., "took away" in a comparison problem requiring subtraction of a different kind), and students trained on keywords alone perform worse on these items Key word strategies fail on problems where the cue word contradicts the required operation. [-M]
• Multi-step problems rarely contain a single cue word per step; keyword matching breaks down as complexity increases
• Cards can encourage mechanical matching instead of comprehension of the problem situation; pairing with Self-Explanation prompts ("why does this word suggest that operation here?") mitigates this Self-explanation improves conceptual understanding beyond procedural skill. [+M]
• Less effective for learners who already read flexibly and construct problem models; the vocabulary support becomes redundant

Implementation Variability¶

• Student-authored cards: learners generate their own key word lists from a problem set, deepening encoding through generation
• Sorting games: students sort mixed word-problem cards onto operation flash cards, turning the reference into a classification task
• Ambiguity sets: deliberately include cards for words that signal different operations in different contexts, with example problems on each side
• Digital versions with spaced-repetition scheduling (e.g., Anki) automate review timing

Target Learners¶

• Elementary students (Grades 2–5) still acquiring the language of mathematics and the symbol–word mappings
• English language learners, for whom the mathematical vocabulary itself is a barrier independent of computation skill
• Struggling readers who benefit from chunking the linguistic demands of word problems Chunking reduces working memory load during problem processing. [+M]
• Less valuable for older students who already interpret problem contexts flexibly

Target Learning Goals¶

• Vocabulary acquisition: connecting operation symbols to their linguistic expressions
• Discrimination learning: distinguishing which operation a problem context requires
• Foundational fluency that supports later work on multi-step problem solving

Instructions¶

1. Introduce each operation and its symbol, eliciting key words from students before adding them to the card (Activation)
2. Have students create or complete the cards, writing the operation on one side and key words plus a short example problem on the reverse (Annotating)
3. Run short, spaced retrieval sessions: show the operation side, recall the key words; then show a key word, name the operation Spaced retrieval improves retention relative to massed practice. [+S]
4. Apply immediately: students solve or sort word problems, identifying which card applies and explaining why (Practice)
5. Explicitly teach the limits: present problems where the key word misleads and have students explain what the situation actually requires Key word strategies fail on problems where the cue word contradicts the required operation. [-M]

Related Strategies¶

• Word Problem Schema Instruction — teaches problem types (change, compare, combine) as the structural complement to surface vocabulary
• Vocabulary Notebooks — the same retrieval-card mechanism applied to general academic vocabulary
• Sort-and-Classify Activities — uses the cards as objects to be categorized rather than memorized

Related Elements¶

• Practice — the cards only build durable knowledge when retrieval is followed by application to real problems
• Annotating — students' own examples and notes on the cards strengthen encoding
• Analogies — linking key words to everyday language uses helps students notice when cues are unreliable
• Advance Organizers — a four-column operation chart serves the same reference function in whole-class form

Examples¶

• A Grade 3 class builds addition and subtraction card sets, then plays "cue or trap": the teacher reads word problems, some containing misleading key words, and students must justify their operation choice beyond the cue word.
• Anki — spaced-repetition software that schedules key word card review at expanding intervals, operationalizing retrieval practice Spaced retrieval improves retention relative to massed practice. [+S]
• Quizlet — teachers share pre-made key word card decks with matching and sorting game modes for the classification variant.

Key Sources¶

• Roediger, H. L., & Karpicke, J. D. (2006). Test-enhanced learning: Taking memory tests improves long-term retention. Psychological Science, 17(3), 249–255. doi:10.1111/j.1467-9280.2006.01693.x
• Hegarty, M., Mayer, R. E., & Monk, C. A. (1995). Comprehension of arithmetic word problems: A comparison of successful and unsuccessful problem solvers. Journal of Educational Psychology, 87(1), 18–32. doi:10.1037/0022-0663.87.1.18
• Verschaffel, L., Greer, B., & De Corte, E. (2000). Making sense of word problems. Swets & Zeitlinger.
• Dunlosky, J., Rawson, K. A., Marsh, E. J., Nathan, M. J., & Willingham, D. T. (2013). Improving students' learning with effective learning techniques. Psychological Science in the Public Interest, 14(1), 4–58. doi:10.1177/1529100612453266