بناء مسائل رياضية شكلية ذات صورة نونية باستخدام الاستقراء (كم عدد المثلثات في المثلث؟)

Salem Ahmed Abdallah AbdelKabeer

doi:10.47372/ejua-hs.2023.1.241

Authors

Salem Ahmed Abdallah AbdelKabeer Dept. of Mathematical, Faculty of Education - Aden, University of Aden, Yemen

DOI:

https://doi.org/10.47372/ejua-hs.2023.1.241

Keywords:

Mathematical problems, N formula, How many triangles?

Abstract

The aim of the research is to build formal mathematical problems in its original form, where the verbal instructions begin with the question: How many triangles are drawn in the figure? Where this figure is the triangle for all issues, the researcher used the inductive method to find the general relations to solve the research questions, and he used mathematical induction to prove the validity of the results. The researcher reached the following results:

Constructing (7) formal mathematical problems whose sum of triangles is given in a first-order noun form.
Constructing (8) formal mathematical problems whose sum of triangles is given in a naught form of the second degree.
Constructing (25) formal mathematical problems whose sum of triangles is given in a third-degree noun form.
Construct (3) formal mathematical problems whose sum of triangles is given in a third-order noun form (odd and even).
Building (18) formal mathematical problems whose sum of triangles is given in a naughty form with two variables.
Constructing (25) symmetrical formal mathematical problems, the sum of which triangles are given in a nth form.