Signs of emerging pedagogy

It was Saturday and we had decided to learn some mathematics along with English on this day. I didn't had any maths topic to start with. I showed them a video of a pop-up house in my mobile which I thought they can make on the next day. It required to make four equilateral triangle to form a pyramid shape to make its roof. So this became the topic for the day: How to make an equilateral triangle and what is its basic property. Adil, one of the older child, knew how to make it which he had learnt in his school. He explained his method to me and did it using some geometric tools. Other students followed and tried to understand it. Some (of course) were not interested in this and they kept playing among each other. I wanted all of them to try making it as explained by Adil, since the next day's activity needed it. Two of them tried doing it. Other 3 - 4 weren't much interest.

Next day we started the activity. We decided to make one pop-up house among four children. This time they had to make the equilateral triangle perfectly. In Adil's group he took the initiative of making the triangle. Other's observed it. Other group member's couldn't do it since they were not much interested in it yesterday. But I taught the method again to them. This time they were more attentive. And I reminded them the need of learning maths I was teaching them yesterday. We used measurements in many other parts while making the toy. This was the first time we were precise in making toy and used measurements. Before this I allowed making them bad toys. I was happy that now they must have known the use of mathematics they learn in schools. And I thought I should be more happy that finally I saw the first sign of the pedagogy that I have been striving for from a long time. Of course, it is far from the ideal one which I have in my mind. But I should be satisfied that its process can now be started.