The document discusses the nature, characteristics, and activities of gifted students, specifically those who are gifted in mathematics. It defines mathematical giftedness and notes that gifted students typically have IQs above 130 and multiple intelligences. The document outlines general characteristics of gifted students like making connections quickly and having excellent memory, as well as special characteristics of mathematically gifted students like recognizing patterns and asking profound questions. It recommends that gifted students be provided enrichment programs and better learning experiences to develop their exceptional abilities and notes that properly directing their energy is important.