The author criticizes some highly publicized psychological research on the development of number concepts, arguing that the research was poorly executed and emotively reported. (SD)

Discusses children's concept of number and number operations and describes activities which help to develop number concepts and skills. (JP)

Suggestions for making number concepts and basic operations through counting with diagrams more meaningful are given. Discussions of specific instances with two children, ages 5 and 9, illustrate some ideas, inventions, and difficulties of children in this age range. (LS)

The development of numeracy is discussed as being an important aspect of the learning process. (MP)

A game designed to introduce aspects of coordinate geometry is reviewed. This game situation can be used to improve intellectual development with: the concept of mapping, the objectivation of operation systems, the verification of hypotheses, and organization principles. (MP)

The author describes a dialogue with his three-year-old daughter about numbers. He discusses aspects of mathematics education and how his views about how students acquire mathematical knowledge have changed. (MP)