This booklet introduces elementary school teachers to the methodology, climate, aims, and objectives necessary for the teaching of philosophical thinking to grade schoolers. The methodology casts the teacher as a facilitator whose primary task is stimulating children to reason about their own problems. The discussion process with hints and guides for the teacher is emphasized. Through the process the teacher tries to bring children to perceive the points of view of others and to give reasons for their own opinions. Prerequisite conditions that the teacher needs to establish for fruitful discussion include avoidance of indoctrination, respect for children's opinions, and evocation of children's trust. Among the aims for the teaching of philosophical thinking are improvement of reasonging ability, development of creativity, and personal development. Another goal that makes philosophical thinking a conscience activity is discovering the tools of philosophical thinking -- alternatives, impartiality, consistency, reasons for beliefs, comprehensiveness, and contextual factors. "Harry Stottlemeier's Discovery" (SO 008 127) is the children's story to be used as a springboard for philosophical discussion. A teacher's manual is forthcoming. (JH)