The Evidence on Teaching

Interleaving (mixing problem types vs blocking)

Mixing problem types helps where confusion is the enemy — discriminating similar categories, mixed math practice — and is useless or worse for facts and prose.

moderate supportconf: mediumgc: low

practice · ages 1018 · method

Effect summary

Mixing different problem types within a practice set (vs doing all of one type in a block) helps — but narrowly. Strong for learning to DISCRIMINATE confusable categories and for mixed math-problem practice (classroom RCT d≈0.83 on aligned tests, ~0.3 at full field scale), NULL for expository text, and NEGATIVE for memorizing discrete facts/vocabulary. The math benefit is heavily confounded with spacing.

Practical takeaway

Interleave practice PROBLEMS in math and in any subject where students must learn which method/category applies to a new case (mixed problem sets, cumulative review). Do NOT interleave when memorizing discrete facts or vocabulary — block those. Give a short initial block when a skill is brand-new.

Who this applies to

Not yet assessed. Nobody has recorded the group size, dose, delivery, or boundary conditions for this decision, so it should not be recommended for a specific situation yet — only read. That is a gap in this record, not a claim that it applies everywhere.

Verdict

Interleaving — mixing different problem types or categories within a practice set instead of practicing one type at a time (blocking) — is real but much narrower than its popular reputation. It helps in two specific situations: (1) learning to tell confusable categories apart (the mechanism is discriminative contrast — you learn which type you're looking at by juxtaposing it with others), and (2) mixed math-problem practice, where students must also learn which strategy a problem calls for. It is null for expository text and actually negative for memorizing discrete facts or vocabulary (block those). And the celebrated math effect is substantially confounded with spacing — much of interleaving's benefit is that mixing automatically spaces each type out.

What the evidence shows

Source Design Grade Key effect
Rohrer 2020 preregistered cluster RCT (N=787) A Math d=0.83 at 1-month delay, positive for all 15 teachers (aligned test)
Rohrer 2015 classroom RCT (7th grade) B d=0.42 at 1 day → 0.79 at 30 days (benefit grows with delay)
Brunmair & Richter 2019 meta (59 studies) C Overall g=0.42 (trim-fill 0.29): paintings 0.67, math 0.34, text ns, words −0.39
NewGlobe 2023 full-year field RCT (62 schools) C Math d=0.29 at scale (~3× shrinkage vs Rohrer)
Ostrow 2015 classroom RCT C Null — brief single-session, short delay

The math evidence is genuinely strong in design terms — Rohrer 2020 is a preregistered cluster RCT that meets What Works Clearinghouse standards without reservations. But three deflations keep this at moderate: (1) the outcome is a proximal, researcher-designed test of the same problem kinds practiced, so a standardized equivalent is likely ~0.4; (2) at full field scale (the 62-school NewGlobe trial) the effect is only 0.29; and (3) the benefit confounds discrimination + spacing + retrieval — the authors' own per-problem-kind gradient tracks how much each kind was spaced.

The material-dependence is the headline practical fact: interleaving helps when categories are confusable and you must learn to discriminate (paintings 0.67; math strategy-selection), does nothing for expository text, and backfires for rote verbal learning (words −0.39, blocking wins). For category learning specifically, the benefit transfers to genuinely novel items as strongly as to studied ones (Firth 2021) — so there it's more than teaching-to-the-test.

Hereditarian-lens assessment

Risk: low. Domain discrimination-skill outcomes, randomized designs, no g. Effects are somewhat larger for younger/novice learners; like worked examples, an expertise interaction is plausible (experts already discriminate), but this is a prior-knowledge interaction, not an ability/g one, and it doesn't widen heritable gaps.

Boundaries & what critics say

  • Interleaving vs spacing confound: in category learning the benefit needs immediate succession of contrasting items (not spacing), but in the classroom math studies it's bundled with spacing — so "interleaving works" partly means "spacing works."
  • Material matters more than the technique: null for text, negative for discrete facts/vocab.
  • New skills need an initial block: don't interleave from the very first exposure; Rohrer and the null (Ostrow) both point to a small initial block plus adequate delay.
  • At-scale shrinkage: the honest real-world math effect is closer to 0.3 than 0.8.

Practical guidance

  • Interleave practice problems in math (and similar problem-solving subjects): mixed problem sets and cumulative reviews so students must choose the method, not just execute it.
  • Interleave to teach discrimination wherever students confuse categories (e.g. distinguishing similar concepts, species, artistic styles, grammatical cases).
  • Block, don't interleave, for memorizing discrete facts and vocabulary.
  • Give a short initial block when a skill is brand-new, then mix.
  • Recognize that much of the benefit is spacing — the two travel together.

Open questions

  • The standardized/far-transfer math effect is unmeasured (all classroom effects use aligned tests).
  • How much of the math benefit is discrimination vs embedded spacing vs retrieval is not cleanly decomposed.

Evidence (7 sources)

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