In this paper we study the problem of generalizing one of the fundamental theorems of classical analogue as Gauss's theorem: Z @ ! = Z d! where Rn is compact smooth n-manifold, @ is a smooth; and ! is (n-1)-form in Rn. In this regard it is considered fractal border regions, and that is where the problem arises. To solve this problem develops a theory based on polyhedral chains, which is possible to align the study region

El estudio se centró en la resolución deproblemas de regularidad, cambio una competenciaque se relaciona con resultados del aprendizajede la matemática en educandos de secundaria delsegundo grado en San Juan de Lurigancho Lima.Fueron evaluados 28 niños de segundo gradomediante una prueba de pedagógica. Para encontrarla correlación se usó el coeficiente de r de Pearson,el diseño fue descriptivo correlacional, utilizando elmétodo científico, también el método inductivo einductivo, en un estudio básico teórico. Se halló queen la resolución de problemas, el 39% estuvieronen logro previsto, el 32% en nivel de proceso. En elaprendizaje, 43% en proceso y 36% en inicio. Se llegóa la conclusión que la relación entre la resolución deproblemas de regularidad, cambio y el aprendizajede la matemática es de 0,889 de r de Pearson, aun nivel de 0,05 de significancia. Si hay éxito e...

The study focused on solving problems ofregularity, changing a competence that is relatedto results of learning mathematics in second gradesecondary school students in San Juan de LuriganchoLima. 28 second grade children were evaluatedthrough a pedagogical test. To find the correlation,the Pearson's r coefficient was used, the designwas descriptive correlational, using the scientificmethod, also the inductive and inductive method, ina basic theoretical study. It was found that in solvingproblems, 39% were in expected achievement, 32%in process level. In learning, 43% in process and 36%in beginning. It was concluded that the relationshipbetween solving problems of regularity, change andlearning of mathematics is 0.889 of Pearson's r, ata level of 0.05 of significance. If there is success insolving regularity and change problems, there willalso be success in learning