The Staircase vs. The Pothole: Rethinking Math Intervention

The common way to handle math intervention, which involves systematically filling potholes of missed knowledge, often traps students and prevents them from reaching grade-level proficiency. Juliana Tapper argues that by treating intervention as a remedial checklist, educators lower their expectations and disconnect students from the core curriculum. The alternative is a just-in-time model that treats intervention as a staircase: a deliberate, scaffolded path designed to give students access to upcoming grade-level content. For educators and administrators, the advantage lies in shifting from a reactive filling mindset to a proactive access mindset. This shift requires the courage to prioritize grade-level exposure over the comfort of exhaustive remediation, which helps students perform at levels previously thought to be beyond their reach.

The Architecture of Failure: Why Just-in-Case Backfires

Most intervention programs use a just-in-case model. The system identifies gaps, or potholes, and tries to fill them before allowing a student to proceed. While this seems productive and logical, it creates a systemic bottleneck. As Tapper notes, if the focus remains solely on filling every historical gap, the student may never actually arrive at the destination: the current grade-level standards.

This creates a feedback loop where students stay behind, which reinforces the teacher perception that they are low. This perception then dictates the instruction they receive.

The main reason why just in time is more powerful than just in case is because it communicates high expectations to our kids and expectations are everything.

-- Juliana Tapper

The just-in-time model flips this dynamic. Instead of looking backward at a list of missed skills, the educator looks forward at the major work of the current grade. The intervention becomes a bridge, or a staircase, built to help the student navigate the upcoming core lesson.

The Hidden Cost of Low Expectations

The danger of just-in-case intervention is not just pedagogical; it is psychological. When educators label students as low based on diagnostic data, they often unconsciously lower their expectations. This is the Pygmalion effect in action: students perform to the level of the expectations set for them.

Tapper’s experience highlights the discomfort of this transition. When she was pushed to stop remediating and start teaching grade-level content, she had to fake it till she made it. The result was counterintuitive: students who were previously labeled as struggling began to outperform their peers. By treating the intervention as a support for the current work rather than a replacement for it, she signaled to her students that they were capable of high-level math.

I told my kids, I believe you can do grade level math so we are gonna do grade level math in here. And I had to fake it till I make it with my kids but I had to communicate those expectations to them And they were, they amazed me with their response to that.

-- Juliana Tapper

Systems Thinking: The 80/20 Rule for Intervention

Tapper suggests that the Wild Wild West of intervention requires a disciplined allocation of time. Rather than letting the intervention become a separate, disconnected track, she proposes an 80/20 split:

• 80% of time: Focused on the staircase, which includes the foundational concepts necessary to access the immediate upcoming grade-level content.
• 20% of time: Dedicated to broader number sense and foundational fluency.

This structure prevents the telling trap, where teachers feel pressured by limited time to simply lecture on steps and procedures. By using the 80% to prepare students for the core class, the interventionist transforms from a remediation specialist into a bridge-builder. This requires patience; it is an investment that pays off over units and semesters, not in a single 30-minute session.

Key Action Items

• Audit Your Intervention Model (Immediate): Identify whether your current intervention is just-in-case (remediating everything missed) or just-in-time (scaffolding for upcoming grade-level work).
• Map the Staircase (Next 2-4 weeks): For the next unit of study, identify the major work at the top of the staircase. Work backward to identify only the specific not-yet skills required to access that content.
• Implement the 80/20 Split (Next Quarter): Dedicate 80% of intervention time to the staircase and 20% to generalized number sense routines. This creates a sustainable rhythm that keeps students connected to the core curriculum.
• Shift from Diagnostic Labels to Student Thinking (Ongoing): Stop relying solely on diagnostic data to define student capability. Use number talks and open-ended questioning to uncover what students can do, which reveals more than a static test score.
• Communicate High Expectations (Immediate): Explicitly state to students that the goal is grade-level mastery. The discomfort of this shift is the primary indicator that you are moving away from a low-expectation system.
• Engage Administration in the Why (Next 12-18 months): Use the outcomes of the just-in-time pilot to demonstrate that access to grade-level content, not just remediation, is the driver of student achievement.