As technology quickly evolves, there are breakthroughs in science, space exploration, medical and engineering fields almost every day. In the future, there will be more complicated science and technology problems that need specialized researchers and scientists to find an optimized solution. This paper presents the role of robotics in supporting…

Algorithmic and investigative approaches to mathematics are compared and discussed. Their mutually contradictory spirit is explored. Examples of the application of each method to a mathematics problem are presented. (CW)

Proposed is a way for teachers to distinguish between rich, challenging material that encourages mathematical thinking and material that is unsuitable. Included are multistep problems that encourage a broader understanding of mathematics. (KR)

Described are four classroom activities that may be interspersed into a curriculum or offered as homework. Systematic procedures, alternative strategies, and trial and error are emphasized in these counting exercises. (KR)