Activities that promote student invention can appear inefficient, because students do not generate canonical solutions, and therefore the students may perform badly on standard assessments. Two studies on teaching descriptive statistics to 9th-grade students examined whether invention activities may prepare students to learn. Study 1 found that…

Sixteen Hispanic Spanish/English bilingual children (6 boys and 10 girls) participated in a single-subject design study. Their chronological ages ranged from 8 to 9.5 years. The classroom teacher identified all the children as "academic at risk" on the basis of a history of poor academic performance in spelling and low scores on the…