Evidence here: Some · curriculum trial

Choose a structured curriculum, teach each idea explicitly with objects, then drawings, then numbers, and practice addition and subtraction facts every day until they're automatic.

What matters most here

RankPracticeGrade
1A structured curriculum with teacher-led instruction (principle 13)Evidence grade: Proven in classrooms Proven; the four-curriculum trial was in grades 1–2 (Mathematica(opens in a new tab))
2Daily fact practice from memory, mixing old and new facts (principles 6, 7)Evidence grade: Strong Strong in principle; specific fact programs not yet reviewed on this site
3Explicit teaching: model with objects, then drawings, then numbers (principle 2)Evidence grade: Strong Strong for explicit teaching; the objects-drawings-numbers sequence itself is Promising
4Whole numbers on number lines, preparing for fractions (principle 11)Moderate in the federal fractions guide (summary(opens in a new tab))

A lesson in this room

Five minutes of addition facts to 10, out loud and on boards. Teacher models making ten with counters, then drawings, then numbers. Students practice on whiteboards; teacher checks every board. Independent sheet mixes today's facts with last week's.

Leader look-fors

  • Daily fact practice, answered from memory
  • The teacher models before students work alone
  • Every student shows an answer at once

Stop doing

Asking young students to invent their own strategies for a new skill before being shown one. In second grade in the curriculum trial, more frequent requests for multiple strategies went with lower achievement (IES(opens in a new tab)).

Where the evidence runs out

Little classroom research on most memory strategies for children under 7 (EEF via Tes(opens in a new tab)). The curriculum trial tested older editions of four programs.

Principles

1 studies behind this page

Sources

  1. Agodini et al. 2010–2013 (opens in a new tab)

    mathematica.org

  2. Marzano summary of IES Rec. 2 (opens in a new tab)

    marzanoresearch.com

  3. IES evaluation summary (opens in a new tab)

    ies.ed.gov

  4. Tes on the EEF review: what next for cognitive science in the classroom (opens in a new tab)

    tes.com