Analyzed was the mental activity required to answer Profile Test questions. This was then related to the results of pupils with differing profiles. Most of the mental activity could be reduced to three categories of knowledge: data, short operations, and paths. These categories are then discussed and applied. (MNS)

This discussion centers around the dangers in making too precise a particular concept in educational psychology that distinguishes between two types of understanding, instrumental and relational. (MP)

Space and shape, estimating and measuring, and number are viewed as the three strands of mathematics that come together as a child develops mathematically. Five cognitive/mathematical levels of development, labeled discrimination, order, application, operation, and estimation, are identified and discussed. (MP)