Um emprego da modelagem matemática sobre o tempo de exposição ao sol com o protetor solar fator 30

Abstract

The necessity of thinking about new methodologies to the mathematics teaching, especially from themes related to the student’s everyday life, motivated this project achievement that through mathematical modelling has as purpose to ally theory and practice in the basic education context, to verify the time that one person that makes appropriate use of sun protection factor (SPF) 30, can be exposed to ultraviolet radiation (UR) of the sun without suffering sunburn. The study also indicates the contributions of this research, presents a proposal to the teaching time of safe exposure to the sun, that allow to the high school teacher discuss concepts of exponential function in a critical and reflexive way to a more significant knowledge construction and provides to the student’s conditions to realize the integration of the mathematics with others knowledge areas providing through the mathematical modelling, necessary conditions that the student can develop studies that enable more capacity of analyzing, participate and act about the knowledge that is being constructed. Considering the radiation levels, the SPF 30 in relation to the skin type, the data remit to the exponential function, that applying the ordinary least squares method makes possible elaborate a mathematical model for each one of the four types of skin. The results show that if people make the right use of the SFP 30, depending on the skin type, it is possible to stay in sun exposure for a minimum period of 1h and 45 minutes, without being burned.