One constantly develops and upgrades mathematical logic. Talent is crucial, but the complete flexibility of the mathematical mind is achieved by continuous work. To develop the child's ability and to pass on the mathematical logic, it is important to focus on the correct way of thinking and require its maximum. Gifted children stand out in this area. While other pupils are in need to become familiar with the teaching material, to get acquainted with moving from simpler to general examples, gifted ones are capable of applying these processes on their own. During their education, mathematically gifted pupils need to experience activities that are specifically aimed at their field of interest. There can be found certain mathematical competitions within the school system, international contest "Math Kangaroo" and various international monitoring such as PISA and TIMMS. With the uprising of the modern technology, it is even easier to discover gifted pupils by means of an expert system called Mat-dar. By continuous monitoring of student's work and recording some personal information it can assess or confirm pupil's talents. In absence of systematical extracurricular support, mathematically gifted pupils are given a choice in terms of several adequate projects. Firstly, Little school of mathematics is high-quality extracurricular activity aimed at gifted pupils. The Primness Center conforms the idea of the Little school of mathematics and it has a great path to give an adequate support to gifted pupils. Some of the potential activities still need to develop programs for gifted pupils since currently they are aimed at popularizing mathematics and experience exchange for students, scholars, teachers and the general public, such as Science Festival, Golden ratio association activities and Winter School of Mathematics.