Our civilization recognizes that errors can be valuable learning opportunities, but for decades, they have widely been avoided or, at best, allowed to occur as serendipitous accidents. The present research tested whether greater learning success could paradoxically be achieved through making errors by intentional design, relative to traditional…

This study investigated the role of the bar model method, a significant aspect of the Singapore mathematics curriculum, in the remediation of seventh-grade students' errors on algebra word problems. To accomplish this purpose, we first assessed students' errors on a written test involving algebra problems and identified ten students based on the…

Conventional graded assignments are commonly structured in a format where students attempt a prescribed question and are graded based on the completeness of their workings rather than the understanding of concepts. An alternative assignment format was proposed which requires students to identify and explain mistakes in a given set of workings…