The necessity of production involving the applicability of mathematics in the management decision-making process stimulates the elaboration of this article. This approach seeks to develop under a new profile of Mathematical Science, now as another tool of technological management, while it allows to understand the diverse deductive paradigms of this knowledge of support to the administrative process. In this way, the general objective is to deal with the application of mathematics as a tool in technological management; (1), to evaluate the applicability of these tools in the management of small and medium enterprises (2), to propose a mathematical model that contributes to the innovation of the business enterprise (3). The theoretical foundation is in the Taxonomy of Bloom, prescribed for the development of abilities and cognitive attitudes of the individual. There will be no doubt that mathematical problem-solving procedures advance significantly, especially to the demands of complex solutions. The Content Analysis Method and related procedures apply to this task. As a result .... Therefore, the study of mathematical and statistical application, in addition to computer resources to identify the possible trend in the index of technological management, the present article states that mathematics as a tool has its widespread applicability within the most diverse types of technological management, regardless of their size and showing how mathematics is associated in different areas of knowledge as a trend for technological management, since it is still considered for some as a difficult element among managers.