Promote the reason and rational approach

I want to read literature that refers to the (perhaps core) practices of mathematics teacher educators in order to understand the data I collected, perhaps to find categories in the literature for analysis.

Hi Tivka Ovadiya,

I hope the Psychomathematics model is useful for your research. These are the practices we have experimented with from age 3 up to age 12 in teaching logical reasoning and psychomathematics. The problem solving model is the basis.

Book MATHEMATICS TEACHING / LEARNING

"The I.S.P.E.F. Model of Mathematics Teaching/Learning is structured on the development of 4 cyclic and interacting conceptual fields, which form the following study and research disciplines:

- the MATHEMATICS: composed of the mathematical rules and properties through the use of:

- calculation and counting operations,

- arithmetic and spatial equations,

-probabilistic predictions;

- the PSYCHOMATHEMATICS: characterized by logical-intellectual and metacognitiveskills, which:

- generate and build concepts, mental representations, mental classifications and equations,

- use specific psycho-cognitive - ideational - reflexive processes;

3. MATHEMATICAL EDUCATION is the discipline of Educational Sciences which studies the motivating, meaningful and effective relationships for:

- knowledge development,

-enhance the skills and the competencies during the teaching / learning relationship.

4. DIDACTICS OF MATHEMATICS is the discipline of Didactics Sciences which studies the operating procedures in:

- acquiring numerical symbols and arithmetic operations,

- counting and calculating quantities, measures and probabilities during the resolution of a problem and in everyday life".

Sincerely, Fausto Presutti

Thank you,

I am looking for accurate literature relating to core practices in teaching mathematics.

For decades now teaching Mathematics, I have resolved that the best way to solve problems is by using the Problem-Solving Strategy. This is done by getting the necessary information in every problem such as the Given; What is being asked; What appropriate formula to use; Showing the solution; and Checking the Answer.

This shall be paired with 'processing questions' and asking the 'why' of their answers. By, this develops their critical thinking and reasoning skills.

This is foundational in inculcating skills in young learners. When they develop this skill starting in primary years, this becomes enate in them in higher levels.

thank you

I think the teacher, also as a member of a collaborative group of students, goes through this problem solving discussion with the students， and maybe you get some surprising gains in mathematical thinking, such as a real cognitive confusion for the students or clarify the chain of mathematical thinking in problem solving from students' perspective, and maybe thus improve the teaching strategies.

thank you

Problem solving technique and thinking aloud strategies helpful for mathematics teaching