Duolingo was built with a singular goal: to bring high-quality education to everyone on the
planet by harnessing the power of technology. Our free, bite-sized lessons feel more like a …

To efficiently solve mathematical expressions and equations, students need to notice the
systemic structure of mathematical expressions (eg, inverse relation between 3 and− 3 in 3+ …

In mathematics, learners often spontaneously draw on prior knowledge when learning new
ideas. In this study, we examined whether the specific diagrams used to represent more …

Objetivo. Realizar una revisión de los artículos empíricos referidos a la enseñanza mediante
analogías y, específicamente, indagar los resultados en cuanto a su efectividad …

Children's informal and formal learning experiences with geometric shapes currently result
in misconceptions that persist into adulthood. Here, we combine research from mathematics …

Background How feedback is given may influence its utility. Aim We examined the effect of
activated prior knowledge on learning from feedback by manipulating whether knowledge of …

Children display an early sensitivity to implicit proportions (eg, 1 of 5 apples vs. 3 of 4
apples), but have considerable difficulty in learning the explicit, symbolic proportions …

Experts organize and generalize knowledge in different ways than novices, and conceptual
development is often characterized by a surface-to-structure shift in attention and …

Children possess different beliefs regarding their ability to succeed in math and science, as
well as different levels of enjoyment and interest in these topics. These motivational …

This study examined whether different types of commonly used mathematical tasks affect
how children think about whole number division problems. Prior research suggested that …