American Journal of Engineering Research (AJER) 2020 American Journal of Engineering Research (AJER) e-ISSN: 2320-0847 p-ISSN : 2320-0936 Volume-9, Issue-4, pp-246-252 www.ajer.org Research Paper Open Access www.ajer.org Page 246 A Generality of Mathematical Thought by Carl Friedrich Gauss through his contributions to science Edel Alexandre Silva Pontes 1 , Robespierre Cocker Gomes da Silva 2 , Edel Guilherme Silva Pontes 3 and Luciano Martins da Silva 4 1 Federal Institute of Alagoas, Brazil 2 Federal University of Alagoas, Brazil 3,4 San Carlos University, Paraguay Corresponding Dr. Edel A S Pontes ABSTRACT: Mathematical thinking is composed in the systematization and contextualization of the knowledge of mathematics present in each historical period of humanity. This study aimed to present a generality of mathematical thinking by Carl Friedrich Gauss through his numerous contributions to the development of science. Gauss presented humanity with an extensive work of studies and discoveries essential for the understanding of new knowledge and scientific and technological progress. It is hoped that this work can contribute significantly to understanding how essential mathematical thinking is for the cognitive and intellectual development of humanity. Keywords: KEYWORDS: Mathematical Thinking, Carl Friedrich Gauss, Knowledge and Knowledge. --------------------------------------------------------------------------------------------------------------------------------------- Date of Submission: 16-04-2020 Date of acceptance: 01-05-2020 --------------------------------------------------------------------------------------------------------------------------------------- I. INTRODUCTION Since the beginning, the individual has always sought to create environments to improve his evolution, either intuitively, through common sense, or through observations, decompositions, deductions, relationships and / or experiments. According to [1], the evolutionary process of science and the cognitive development of man were decisive for understanding the origins of the ideas that produced the shape of things and presenting mathematics as a propelling instrument. For [2] the ability to deal with mathematics is combined with multiple mental attributes developed by the individual, among them: numerical sense, algorithmic capacity, logical reasoning, capacity for abstraction, spatial / geometric vision, ability to elaborate new things. It is noted that the combination of these attributes inherent to humans, which contributed so much to the increase of knowledge are connected to an essential characteristic of the individual for the full development of science: Mathematical thinking. This study aimed to present a generality of the mathematical thought of Carl Friedrich Gauss (1777 - 1855) through his countless contributions to the development of science. Gauss considered the “prince of mathematics” presented humanity with a vast work of studies and discoveries indispensable for the conception of new knowledge and scientific and technological advancement. The theoretical framework of this work is divided into two essential parts: In the first part, we approach the composition of mathematical thinking and its importance in the development of new knowledge and knowledge. In the second part, we look for the history of Gauss and his admirable contributions to science originated by his intense and exacerbated mathematical thinking. Then, we present a discussion about the strong relationship between mathematical thinking and Gauss's scientific contributions. Finally, the final considerations will be exposed.