The ideas of Poincaré, geometrical reasoning and mathematics textbook

We follow the ideas of the great classic Poincaré related to human experience and the establishment of geometry, the relation between geometrical and physical space, and an understanding of space through a balance between the knowledge of geometric space and intuitive understanding of space (Poincaré, 1905). An increasing number of mathematics curricula focuses on the development of spatial reasoning through instruction supported by the mathematics textbook. Therefore, the important issues we are dealing with are the concept of space and spatial reasoning (Clements & Battista, 1992), which also implies an important standpoint on the teaching of geometry. Researchers in mathematics education emphasize the importance of textbooks from the perspective of research on geometrical thinking as an important tool in teaching and learning. It is, therefore, important to encourage the use of textbook for the development of geometrical thinking, i.e. for the development of children’s ‘mental routine’ for geometric reasoning that leads to a systematic way of thinking (Diezmann et al., 2002; Gutierrez et al., 2005; Hershkowitz, 1998; Steen, 1999).

Retrieved from our research paper: https://www.researchgate.net/publication/281240517_THE_EFFECTS_OF_RME_AND_INNOVATIVE_TEXTBOOK_MODEL_ON_4TH_GRADE_PUPILS%27_REASONING_IN_GEOMETRY

Is the work of great mathematician and philosopher Poincaré from 'Science and Hypothesis' from the beginning of XX century and his idea of human experience and the establishment of geometry well-known among researchers from mathematics education? Is there a published research paper?

Conference Paper THE EFFECTS OF RME AND INNOVATIVE TEXTBOOK MODEL ON 4TH GRAD...