When learners explore dynamic and interactive visualisations they are often not able to interact with them in a systematic and goal-oriented way. Frequently, even supporting learners in processes of discovery learning does not lead to better learning outcomes. This can be due to missing pre-requisite knowledge such as the coherent mental…

Hypothesizes that exploring the mathematical ideas behind mathematical terms enables children to gain insight into the structure of a number system and provides a basis for powerful playing with this structure. Describes visualizing mathematical ideas for exploring aspects of mathematics. Offers rectangular numbers to link and explore structures…

Rural non-readers and culturally different students often perform poorly on intelligence tests. The Gilliland General Purpose Learning Potential Examination is an intelligence test developed specifically to indicate the learning potential of those students. Five of the examination's seven sections are unrelated to the ability to read, one requires…