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The geometrical transformed manual "SPHERE buy in Karaganda
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The geometrical transformed manual "SPHERE

The geometrical transformed manual "SPHERE

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Kazakhstan, Karaganda
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Technical characteristics
  • ManufacturerКРИСМАС
  • Country of manufactureRussia
  • Child genderUnisex
Description

We present you unique geometrical models and mathematical scales. It inventions of the highly experienced mathematics teacher from, the teacher of the highest category of the Republic of Armenia Samvel Movsisyan. They are intended for increase of learning efficiency at schools and preschool institutions. Geometrical models are arranged by the principle of telescopic cores. At the heart of these models the principle of transformation allowing to receive another from one geometrical figure is underlain then to transform it to the following figure, etc. These models provide presentation of process that allows to solve many problems of training.
The main issue of training of geometry how to develop imagination and how to impart skills of logical thinking. For achievement of these purposes it is necessary to use widely presentation in training of geometry and a method of constructive modeling.

We present you unique geometrical models and mathematical scales. It inventions of the highly experienced mathematics teacher from, the teacher of the highest category of the Republic of Armenia Samvel Movsisyan. They are intended for increase of learning efficiency at schools and preschool institutions. Geometrical models are arranged by the principle of telescopic cores. At the heart of these models the principle of transformation allowing to receive another from one geometrical figure is underlain then to transform it to the following figure, etc. These models provide presentation of process that allows to solve many problems of training.
The main issue of training of geometry how to develop imagination and how to impart skills of logical thinking. For achievement of these purposes it is necessary to use widely presentation in training of geometry and a method of constructive modeling.

It is expedient to use model in compliance of sequence of a statement of material at the rate of the textbook of stereometry.

Display of model of a sphere by means of two couples of corresponding rings (Fig. 1)

We insert 1 first design designated in Fig. into a basis groove. That ring which is inside is inserted into a groove.

We strengthen average rings in the deepenings of a big ring (Fig. 2) intended for this purpose.
In Fig. 2 we show sphere sections: big circles and two other circles.

By means of clips we fix a bunch from six cores (Fig. 3), and we receive the center, diameter, radius, a segment, sphere sector.

By means of three - rod bunches in a sphere we collect the entered cube, a rectangular parallelepiped (Fig. 4).

We collect the entered 4 - coal pyramid by means of four - rod bunches (Fig. 5). In this construction, such auxiliary core which vertical we fix by one ring in pyramid top is used, and other end is clung for edge of a groove. After that we build the basis for what we use two trekhsterzhnevny bunches. Having constructed the basis we will see what from each bunch remains to about one free core. We fix them in the middle of an auxiliary core.

For receiving a 3 - coal pyramid closely we bring closer to each other. The basis is under construction to similarly previous case (Fig. 6).

For display of the entered cone the four - rod bunch (Fig. 7) and one average ring is used.

By means of the small rings passed each other it is possible to show two options of the entered sphere - in a cube and in a pyramid (Fig. 8 - 9).

Example of the solution of a task.

The regular triangular pyramid with height of h and the party of the basis of an is entered in a sphere.
To find sphere radius.

Decision:

On model of Fig. 10
OA=R sphere radius,
radius of O1A =a circle described around the basis / √ 3,
height of a pyramid of DO=h, OO1=h - R.
For a rectangular triangle of OAO1 on Pythagorean theorem of R2=(h - R2) + a2/3, R=(h2 + a2/3)/2h
On it possibilities of this model are not limited. Before you the set of options of use of model which leaves on your ingenuity opens

 

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The geometrical transformed manual "SPHERE
The geometrical transformed manual "SPHERE
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