Dear colleagues,
It is known that spatial geometry theorems (e.g.: three perpendiculars theorem, the distance between two straight lines in space, etc,) have been set in dynamic geometric environments to teach in the classroom. But, it is also necessary to remember that there are no classrooms with the possibility to use dynamic geometry tools. For this reason, could you suggest to me papers or books about teaching spatial geometry notions and theorems without software (or, a "board and chalk" approach), please?
Kind regards,
Luis
The use of S/W and computer visualization is a very recent turn of events. Mathematics has been developed and taught for centuries prior to the advent of computer visualization tools. Computer visualization is not a necessary condition for the development of geometric intuition. While i don't have any specific title in mind, I suspect text book from the around the mid 20th century would be a good place to start looking.
Dear Luis Maraví Zavaleta,
I can suggest reading two texts I wrote about teaching geometry in elementary school. Below are the links:
1) https://8d272a0b-7f80-4264-a062-41bdb7433e7a.filesusr.com/ugd/86b009_a4bd08af0f6242489f07de754b84add1.pdf
2) https://8d272a0b-7f80-4264-a062-41bdb7433e7a.filesusr.com/ugd/86b009_5c0d1fd1290d4dd5833faf2b9ae24ca8.pdf
Although the texts are written in Portuguese and do not specifically deal with spatial geometry theorems, these texts reflect the results of research carried out in the classroom without software, in Problem Solving approach.
Good readings!
Best Regards,
Gilberto Vieira
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