Impact Report 2025–26
Knowledgehook's annual report on Short Learning Cycles and mathematics achievement in Ontario's school boards, with case studies from the classrooms where the work is happening.
A report for directors of education, superintendents and ministry officials
The research base for each stage of the Short Learning Cycle
For each stage, this page describes its implementation in Knowledgehook, the mechanism through which it supports learning and the studies on which it draws.
Interpreting effect sizes
Studies report results as effect sizes, expressed in standard deviations. Figure 1 shows where the average student receiving an intervention would rank relative to a comparable group that did not receive it.
Figure 1. The average student moves from the 50th to the 58th percentile.
Check for understanding
Short, curriculum-aligned checks on one Ontario expectation, given inside regular mathematics class. Every wrong answer choice is written to match a known misconception, so each response shows how a student is thinking.
Formative assessment raises achievement when teachers use the evidence to change what they teach next. Teachers who know which misconception a student holds can teach to it directly.
Sources for this step (8)
Teacher reflection
Knowledgehook groups class results into focus areas, names the misconception behind them and gives the teacher a short explanation with practical ways to teach it. The teacher decides what happens next.
Teachers' knowledge of how students learn mathematics predicts student gains. Professional learning works best when it is tied to the content being taught and to real student work.
Sources for this step (5)
Targeted intervention
Students who have not yet mastered the expectation receive focused instruction and practice on that gap, inside class time, with ready-to-use intervention resources for the teacher.
Mastery learning holds the expectation fixed and varies the support. Corrective instruction on a specific gap, before the class moves on, helps students who were furthest behind the most.
With mastery learning, the average student scored above about 84 per cent of a conventional class.
Note: Distributions are schematic. Source: Bloom (1984).
Sources for this step (5)
Measure growth
Each cycle closes with a follow-up check. The teacher sees who closed the gap, and the cycle record shows how the class is moving across the term.
Measuring progress raises achievement when teachers act on it. Gains come from clear decision rules that change instruction for students who are not yet progressing.
After cycle 6: 74 per cent of students have mastered the expectations taught so far.
Illustrative class.
Sources for this step (3)
Retrieval and mixed practice
Students return to earlier expectations in short, low-stakes sessions that mix problem types and revisit content over weeks.
Recalling an idea from memory strengthens it more than reviewing it. Mixing problem types teaches students to choose the right method, which is what assessments ask of them.
Mixed practice produced lower accuracy during the session and substantially higher performance one week later.
Source: Rohrer and Taylor (2007), Experiment 2.
Sources for this step (5)
System view
Directors, superintendents and ministry teams see where cycles are running and which expectations students find hardest, school by school, during the year.
Achievement data helps a system when it feeds a regular cycle of instructional improvement, so leaders can direct coaching and resources while it still matters.
Sources for this section (2)
Early gaps in understanding constrain later learning
Elementary knowledge of fractions predicts high school algebra years later. Closing a gap inside the unit costs far less than repairing it after the next units have been taught.
Each later topic depends on the one before it, so the gap carries forward into algebra.
Sources for this section (2)
Frequently asked questions
Knowledgehook works inside core mathematics instruction. Teachers run Short Learning Cycles on the Ontario expectations they are already teaching, so the cycle adds evidence and support to existing lessons rather than separate time.
Receive the Impact Report 2025–26
View the report and arrange a briefing for your board's leadership team.