Classroom
Aggregating the cohort.
Replaying every student's scan and grouping where the fractures landed.
Aggregating the cohort.
Working
Classroom
Replaying every student's scan and grouping where the fractures landed.
Cohort · 24 students
Classroom
Most of them on the same idea: “The fraction bar IS a division sign. 3/4 means 3 divided by 4, exactly.” — normally taught 6 years before the material they are failing now. Re-teaching this week's chapter will not reach any of them.
3 of 24 had no fracture beneath them
A fraction is a division
5 students · grade 6
The fraction bar IS a division sign. 3/4 means 3 divided by 4, exactly.
Exponent rules
3 students · grade 8
Exponents add when multiplying like bases and subtract when dividing.
Function notation
2 students · grade 9
f(x) names an output for an input; the parentheses are not multiplication.
Algebraic expressions
2 students · grade 7
A letter stands for a number, and an expression is a computation waiting for one.
Negative numbers
2 students · grade 6
Negatives extend the number line left of zero and obey consistent sign rules.
The distributive property
2 students · grade 8
a(b + c) = ab + ac, and it runs in both directions.
These are real scans of a simulated cohort — the engine, the stored probes and the noise are all real, and every verdict is stored as it came out, including the ones placed on a neighbouring concept. Aggregating invented numbers would make this a mockup of a feature rather than the feature. Run a scan yourself →