Add to ORKGThis paper is a discussion on some R. Hersh's ideas. I do not deny the importance of intuition and plausible reasoning in mathematics. However, I lay stress on rigor and proofs especially in mathematical education, because often in mathematics, "it is easier to prove than to see". Doing rigorous mathematics at school is important as a means to train students’ intuition in dealing with mathematical abstract concepts
The foundation of Mathematics is both a logico-formal issue and an epistemological one. By the firs...
When the traditional distinction between a mathematical concept and a mathematical intuition is test...
that mathematics teaching too often privileges a study of the discipline over an explicit developmen...
This paper discusses some of the issues surrounding the current notion of mathematical intuition and...
Intuition is the best instructional method in mathematics education. Using different method such as ...
In this paper I offer an interpretation of the role of intuition in mathematical cognition in Kant’...
A group discussion was conducted with four teachers and excerpts from the transcripts of the discuss...
The aim of this paper is to shed light on the distinction between pure and empirical intuition, and...
This paper describes an exploratory study of the nature and role of geometrical intuition in the sol...
Nowadays development of the skills of students ’ mathematical thinking is extremely important didact...
This short note is devoted to the role played by intuitive explanations in mathematical education. W...
In a famous intervention at the Second International Congress of Mathematicians (Paris, 1900), Poinc...
Gödel argued that intuition has an important role to play in mathematical epistemology, and despite ...
A main characteristic of the intuitive – inductive philosophy of mathematics is the attention given ...
Are people just innately good at mathematics or not? My teaching experience suggests mathematical ab...
The foundation of Mathematics is both a logico-formal issue and an epistemological one. By the firs...
When the traditional distinction between a mathematical concept and a mathematical intuition is test...
that mathematics teaching too often privileges a study of the discipline over an explicit developmen...
This paper discusses some of the issues surrounding the current notion of mathematical intuition and...
Intuition is the best instructional method in mathematics education. Using different method such as ...
In this paper I offer an interpretation of the role of intuition in mathematical cognition in Kant’...
A group discussion was conducted with four teachers and excerpts from the transcripts of the discuss...
The aim of this paper is to shed light on the distinction between pure and empirical intuition, and...
This paper describes an exploratory study of the nature and role of geometrical intuition in the sol...
Nowadays development of the skills of students ’ mathematical thinking is extremely important didact...
This short note is devoted to the role played by intuitive explanations in mathematical education. W...
In a famous intervention at the Second International Congress of Mathematicians (Paris, 1900), Poinc...
Gödel argued that intuition has an important role to play in mathematical epistemology, and despite ...
A main characteristic of the intuitive – inductive philosophy of mathematics is the attention given ...
Are people just innately good at mathematics or not? My teaching experience suggests mathematical ab...
The foundation of Mathematics is both a logico-formal issue and an epistemological one. By the firs...
When the traditional distinction between a mathematical concept and a mathematical intuition is test...
that mathematics teaching too often privileges a study of the discipline over an explicit developmen...