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## Comuni@cción

*versión impresa* ISSN 2219-7168

#### Resumen

PARAGUA MORALES, Melecio et al. **Method four steps and the learning of the derivative by definition**.* Comuni@cción* [online]. 2018, vol.9, n.1, pp.48-55.
ISSN 2219-7168.

**ABSTRACT** The objective of this article is to prove that the application of the four-step method improves the learning of the derivative by definition in students of the professional school of Mathematics and Physics of national university Hermilio Valdizan (UNHEVAL); where it has as specific objectives: compare, analyze and evaluate the level of learning of the derivative by definition with the application of the four-step method. The type of research is explanatory and quasi-experimental design with experimental group and control group. The population-study sample is 105 students of both sexes, whose composition is for the control group = 35 and experimental group 70 students respectively; The initial descriptive results have certain similarity in both groups, the differences begin to show during the process test, and even more after the final test in favor of the experimental group who received the benefit of the application of the four-step method. The statisticians of the descriptive and inferential statistics allow to obtain the following result: the Z value of Test = 10.44 is located to the right of z critical = 1.96; which is the rejection zone, therefore, the null hypothesis is rejected and the alternative hypothesis is accepted; that is, there is sufficient evidence to prove that the level of learning of the derivative by definition improve with the application of the method four steps, in students of both sexes, the professional school of mathematics and physics

**Palabras clave
:
**Four-step method; Derived by definition; Derivative learning by definition.