The study aimed to know how does mind-map software assess the representation of learners' knowledge and how brain tester software assess the performance of left, right, auditory, and visual lobes of the brain to represent information. It also aimed to study the differential effectiveness of audio, visual, and audio-visual information to represent…

We examine whether the array representation can support children's understanding and reasoning in multiplication. To begin, we define what we mean by understanding and reasoning. We adopt a "representational-reasoning" model of understanding, where understanding is seen as connections being made between mental representations of concepts, with…