The concentration in K-12 education on higher-order thinking has diminished the importance of math fact automaticity, which is the ability to deliver a correct answer immediately from long-term memory without impeding the working memory. This quantitative study investigated the influence of automaticity of high school students on their Missouri…

This lecture reports on aspects of a larger research programme focused on studying mental mathematics in elementary and secondary mathematics classrooms. It specifically addresses an unplanned aspect that became salient through the work conducted in these classrooms. In this research programme, mental mathematics sessions are designed on a variety…

One possible approach students can cope with abstract algebra concepts is reducing abstraction. This notion occurs when learners are unable to adopt mental strategies as they deal with abstraction level of a given task. To make these concepts mentally accessible for themselves, learners unconsciously reduce the level of the abstraction of the…