Function as one of the fundamental concepts at secondary school mathematics

Interesting Facts

Purpose
to investigate the role and place of function at secondary school mathematics

Tasks
the concept of function
function types
pedagogical recommendations for the study of functions in school mathematics course

Problem
V.S. Vladimirov
(1923-2012)
L.S. Pontryagin
(1908-1988)
A. N. Tikhonov (1947-2016)

Reasons
the absence of interest among schoolchildren to the subject and the study of functions in particular
the study of every new type of function, the properties of the function, in fact, without connection with the previous one
the gap between the computational and functional-graphic skills of students

Definition of Function
Gottfried Wilhelm Leibniz
(1646-1716)
Laurent-Moise Schwartz
(1915-2002)

Function Types

The Pedagogical Recommendation
Concept of function should be a leading role at school mathematics course

The definition of Function

Function
definition of a numerical function
domain of function
scope of function
ways to set functions
reading graphs
properties of functions
The Concept of Function

Conclusion
the main task of the teacher is to form the concept of function in each student’s mind

Interesting Facts
The answer: for figures with the same perimeters, the area will be larger for the figure with the smallest angle. Perimeter is the sum of the lengths of all sides of a figure