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International Commission for Studying and Teaching Mathematics.
Creation of International Commission for studying and teaching mathematics whose goal is understanding mathematics teaching and improve it. (Sotos Serrano,1993). -
New Maths
After 1957 new programs of scientific teaching emerged like “new maths”. (Oré, 2012). -
First Great Curricular Reform
• After 1959, it was created the first great curricular reform for teaching mathematics which lead to structuralist teaching ( Sierra, 1990). -
Origin of Theory of Situations
Origin of theory of situations in which learning occurs in a combination of educational system, the student, and knowledge, or communication, learning, and didactic transposition (Brousseau, 2000). -
Fundamental Didactics
Fundamental Didactics emerged when Guy Brousseau created the first theories of Didactic Situations which were incorporated to mathematics -
The Triangle of Didactics
The triangle of didactics is related to the theory of Didactic Transposition which transforms mathematical knowledge to be taught in which the information set in the curriculum is adapted by teachers (Chevallard , 1985). -
Didactic Systems
The main goal of studying Didactics of Mathematics is determined by didactic systems that include subsystems formed by teachers, students, and knowledge to be taught (Chevallard, 1989). -
Theory of Conceptual Fields
Theory of Conceptual Fields by Gérard Vergnaud who speaks about logical operations and general instructions of thought for the cognitive context of subject in situation (Vergnaud,1994). -
Process of study proposed by Chevallard
Process of study proposed by Chevallard in which math knowledge is incorporated to didactics of mathematics that includes processes of teaching and learning ( Chevallard, 1997). -
Aspects of Students
Teaching should be based on the common aspects of students instead of their particularities (Chevallard, 2000).