Intervention That Builds on Student Thinking

Support students through dynamic assessment and responsive teaching grounded in where they are developmentally, strengthening the progressive development of mathematical ideas, strategies, and models across domains.

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See how intervention fits within a coherent K-5 system grounded in the developmental landscape of mathematics learning

New Perspectives on Learning
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Why Most Intervention Falls Short

Intervention often focuses on fixing gaps quickly.

  • Extra worksheets.
  • More practice.
  • Separate materials

    But without a clear understanding of how students are thinking, those supports rarely stick. Students may improve in the moment, but the underlying understanding does not change. Over time, the same gaps reappear.

    Effective intervention is not about doing more. It is about responding to student thinking differently.

A Different Approach to Intervention

Intervention works best when it is connected to how students develop mathematical ideas over time. This approach focuses on understanding student thinking and supporting development from where students are, not simply reteaching isolated skills or procedures.

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Start with Student Thinking

Teachers assess what big ideas, strategies, and models are emerging from students. Instruction begins with students' current understandings and supports the next steps in their mathematical development.

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Support Development Through Responsive Teaching

Problem strings, minilessons, games, contextual tasks and powerful conferrals help strengthen important mathematical relationships while giving teachers insight into student thinking.

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Provide Targeted Support That Builds Development

Assessment and instruction work together to help teachers identify emerging understandings, plan next steps, and provide targeted support through conferring, small groups, and classroom routines.

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What Supports This Work

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Problem Strings & Minilessons

Carefully sequenced routines designed to strengthen big mathematical ideas, strategies, and models across domains.
Used in whole-class, small-group, and intervention settings.

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Games (K-2 Focus)

Math games create opportunities for students to test strategies, explain reasoning, and build new mathematical understanding through play and discussion.

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Professional Support (P2S2)

Support for teachers focused on conferring, differentiation, and responsive instructional decision-making grounded in student thinking.

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Studio Addelaide

A thought partner that helps teachers interpret student thinking, identify developmental next steps, and plan responsive instructional moves during teaching and intervention.

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Assessment That Drives Instruction

Assessment should do more than identify what students cannot do.

New Perspectives on Assessment tools help teachers understand how students are reasoning, which mathematical ideas are emerging, and what instructional supports will move learning forward.

Assessment, conferring, problem strings, games, small-group instruction, and Studio Addelaide work together to support responsive teaching grounded in student thinking and development.

Intervention That Moves Learning Forward

Effective intervention begins with understanding how mathematical thinking develops.
Explore resources designed to support responsive teaching, dynamic assessment, and meaningful mathematical growth across grades and domains.

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For a Deeper Look at Intervention

For educators looking to go deeper, Models of Intervention: Reweaving the Tapestry offers a closer look at how intervention can support meaningful mathematical development.