生徒達が複数の命題と証明を同時につくり上げていく幾何の授業
A Classroom of Geometry Where the Students Can Make Propositions and Their Proofs at the Same Time by Their Own Effort

Shigekazu YANAGIMOTO
1994 Journal of Science Education in Japan  
Faculty of Education , Fukui University, Fukui − shi , 910 C . Gattegno proposed a working field of mathematics education on the basis of a notion which he called a mathematical situation , and which is consisted of the following a )and b). a )If the students are put under a certain mathemat 量 cal situation , they can make mathematica 正 propositions consecu . tively by their own effort . b)Under such circumstances , all what the teacher have to do is just to give information about how to extend
more » ... the thinking of the students . His proposal moved H . Freudenthal to propound the the following problem . " Make scientific research of a teaching − 1earni process where the students can make mathematical propositions and their proofs by their own effort . " But C . Gattegno did not show any concrete way of construct − ing the mathematical situation . And H . Freudenthal did not give any kind of the answer to his problem either . Therefore, the principle of designing the above teaching − learning process is not been established yet . The main purpose of this paper is to give an answer to the problem propounded by H . Freudenthal in the geometry learning .
doi:10.14935/jssej.18.74 fatcat:xjtyqwjm6ve5xdxn67oqh5g4ha