Training potentials

Training capabilities providing concrete knowledge, abilities and skills basic for studying math
Name	Required	Required
Building knowledge related to the solution method	The system of organization of material by topics The system of organization of material by solution methods The system of search for an educational material Detailed course of solution The system of hyper-references The system providing for in-depth substantiation of solution	Database of educational tasks Database of solution algorithms
Building knowledge related with the cause-and-effect mathematical relationships	The system of organization of material by topics Detailed course of solution The system of hyper-references The system providing for in-depth substantiation of solution	Database of educational tasks Database of formulations Database of formulas and theorems
Building knowledge related to theoretical material	The system of organization of material by theoretical attribute The system of organization of material by topics Detailed course of solution The system of hyper-references The system providing for in-depth substantiation of solution Step-by-step performance Choice of amount of theoretical material to study	Database of educational tasks Database of formulations Database of formulas and theorems Database of methodical tasks
Building knowledge related to application of formulas	The system of organization of material by theoretical attribute The system of organization of material by topics Detailed course of solution The system of hyper-references The system providing for in-depth substantiation of solution Step-by-step performance	Database of educational tasks Database of formulations Database of formulas and theorems Database of methodical tasks
Building knowledge related to application of formulations	The system of organization of material by theoretical attribute The system of organization of material by topics Detailed course of solution The system of hyper-references The system providing for in-depth substantiation of solution Step-by-step performance Choice of amount of theoretical material to study	Database of educational tasks Database of formulations Database of formulas and theorems Database of methodical tasks
Building knowledge related with the cause-and-effect relationships within theoretical material	The system of organization of material by topics Detailed course of solution The system of hyper-references The system providing for in-depth substantiation of solution Step-by-step performance	Database of educational tasks Database of elementary algorithms Database of solution algorithms Database of formulations Database of formulas and theorems Database of methodical tasks
Building skills related to theoretical material	The system of organization of material by theoretical attribute The system of organization of material by topics Detailed course of solution The system of hyper-references The system providing for in-depth substantiation of solution Step-by-step performance Choice of amount of theoretical material to study Special learning techniques Different regimes of task execution Control over the length of multiple-choice answer list System of answer selection System of hints System of analysis and evaluation of task performance System of methodical exercises Mechanisms of selection of methodical exercises Quality analysis of user's performance and country-dependent rating system	Database of educational tasks Database of solution algorithms Database of formulations Database of formulas and theorems Database of methodical tasks
Building abilities related to application of rules	The system of organization of material by theoretical attribute The system of organization of material by topics Detailed course of solution The system of hyper-references The system providing for in-depth substantiation of solution Step-by-step performance Different regimes of task execution Control over the length of multiple-choice answer list System of answer selection System of hints System of analysis and evaluation of task performance System of methodical exercises Mechanisms of selection of methodical exercises	Database of educational tasks Database of elementary algorithms Database of solution algorithms Database of formulations Database of formulas and theorems Database of methodical tasks
Building abilities related to application of formulas	The system of organization of material by theoretical attribute The system of organization of material by topics Detailed course of solution The system of hyper-references The system providing for in-depth substantiation of solution Step-by-step performance Different regimes of task execution Control over the length of multiple-choice answer list System of answer selection System of hints System of analysis and evaluation of task performance System of methodical exercises Mechanisms of selection of methodical exercises	Database of educational tasks Database of elementary algorithms Database of solution algorithms Database of formulations Database of formulas and theorems Database of methodical tasks
Building knowledge related to the problem definition	The system of organization of material by topics Detailed course of solution The system of hyper-references The system providing for in-depth substantiation of solution Step-by-step performance	Database of educational tasks Database of types of educational tasks Database of elementary algorithms Database of solution algorithms Database of formulations Database of methodical tasks
Building abilities related to the problem definition	The system of organization of material by topics Detailed course of solution The system of hyper-references The system providing for in-depth substantiation of solution Step-by-step performance Different regimes of task execution Control over the length of multiple-choice answer list System of answer selection System of hints System of analysis and evaluation of task performance Mechanisms of selection of methodical exercises Quality analysis of user's performance and country-dependent rating system	Database of educational tasks Database of types of educational tasks Database of elementary algorithms Database of solution algorithms Database of formulations Database of methodical tasks
Building abilities related to the solution method	The system of organization of material by topics Detailed course of solution The system of hyper-references The system providing for in-depth substantiation of solution Step-by-step performance Different regimes of task execution Control over the length of multiple-choice answer list System of answer selection System of hints System of analysis and evaluation of task performance Mechanisms of selection of methodical exercises Quality analysis of user's performance and country-dependent rating system	Database of educational tasks Database of elementary algorithms Database of solution algorithms Database of formulations Database of formulas and theorems Database of methodical tasks
Building skills related to application of formulas	The system of organization of material by theoretical attribute The system of organization of material by topics Detailed course of solution The system of hyper-references The system providing for in-depth substantiation of solution Step-by-step performance Different regimes of task execution Control over the length of multiple-choice answer list System of answer selection System of hints System of analysis and evaluation of task performance Mechanisms of selection of methodical exercises	Database of educational tasks Database of elementary algorithms Database of solution algorithms Database of formulations Database of formulas and theorems Database of methodical tasks
Building skills related to application of rules	The system of organization of material by theoretical attribute The system of organization of material by topics Detailed course of solution The system of hyper-references The system providing for in-depth substantiation of solution Step-by-step performance Different regimes of task execution Control over the length of multiple-choice answer list System of answer selection System of hints System of analysis and evaluation of task performance Mechanisms of selection of methodical exercises	Database of educational tasks Database of types of educational tasks Database of elementary algorithms Database of solution algorithms Database of formulations Database of methodical tasks
Building skills related to the problem definition	The system of organization of material by topics The system of organization of material by solution methods Detailed course of solution The system of hyper-references The system providing for in-depth substantiation of solution Step-by-step performance Different regimes of task execution Control over the length of multiple-choice answer list System of answer selection System of hints System of analysis and evaluation of task performance System of methodical exercises Mechanisms of selection of methodical exercises	Database of educational tasks Database of types of educational tasks Database of solution algorithms Database of formulations Database of formulas and theorems Database of methodical tasks
Building abilities to select math transformation	The system of organization of material by topics The system of organization of material by solution methods The system of organization of material by complexity The system of search for an educational material Detailed course of solution The system of hyper-references The system providing for in-depth substantiation of solution Step-by-step performance Different regimes of task execution Control over the length of multiple-choice answer list System of answer selection System of hints System of analysis and evaluation of task performance System of methodical exercises Mechanisms of selection of methodical exercises Methodical recommendations	Database of educational tasks Database of types of educational tasks Database of elementary algorithms Database of solution algorithms Database of methodical tasks
Building abilities to apply formulations and formulas	The system of organization of material by theoretical attribute The system of organization of material by topics Detailed course of solution The system of hyper-references The system providing for in-depth substantiation of solution Step-by-step performance Different regimes of task execution Control over the length of multiple-choice answer list System of answer selection System of hints System of analysis and evaluation of task performance System of methodical exercises Mechanisms of selection of methodical exercises Methodical recommendations	Database of educational tasks Database of types of educational tasks Database of solution algorithms Database of formulations Database of formulas and theorems Database of methodical tasks
Building skills to apply formulations and formulas	The system of organization of material by theoretical attribute The system of organization of material by topics Detailed course of solution The system of hyper-references The system providing for in-depth substantiation of solution Step-by-step performance Different regimes of task execution Control over the length of multiple-choice answer list System of answer selection System of hints System of analysis and evaluation of task performance System of methodical exercises Mechanisms of selection of methodical exercises Methodical recommendations Methodical feedback	Database of educational tasks Database of types of educational tasks Database of elementary algorithms Database of solution algorithms Database of formulations Database of formulas and theorems Database of methodical tasks
Building skills to make transformations	The system of organization of material by topics The system of organization of material by solution methods Detailed course of solution The system of hyper-references The system providing for in-depth substantiation of solution Step-by-step performance Different regimes of task execution Control over the length of multiple-choice answer list System of answer selection System of hints System of analysis and evaluation of task performance System of methodical exercises Mechanisms of selection of methodical exercises Methodical recommendations Methodical feedback	Database of educational tasks Database of types of educational tasks Database of elementary algorithms Database of solution algorithms Database of formulas and theorems Database of complexity levels Database of methodical tasks
Building skills to substantiate transformations and ground on formulas	The system of organization of material by theoretical attribute The system of organization of material by topics Detailed course of solution The system of hyper-references The system providing for in-depth substantiation of solution Step-by-step performance Special learning techniques Different regimes of task execution Control over the length of multiple-choice answer list System of answer selection System of hints System of analysis and evaluation of task performance System of methodical exercises Mechanisms of selection of methodical exercises Methodical recommendations Methodical feedback	Database of educational tasks Database of types of educational tasks Database of elementary algorithms Database of solution algorithms Database of formulations Database of formulas and theorems Database of methodical tasks
Building abilities to substantiate solutions	The system of organization of material by topics Detailed course of solution The system of hyper-references The system providing for in-depth substantiation of solution Step-by-step performance Different regimes of task execution Control over the length of multiple-choice answer list System of answer selection System of hints System of analysis and evaluation of task performance System of methodical exercises Mechanisms of selection of methodical exercises	Database of educational tasks Database of types of educational tasks Database of elementary algorithms Database of solution algorithms Database of formulations Database of formulas and theorems Database of methodical tasks
Building abilities to carry out transformations	The system of organization of material by topics Detailed course of solution The system of hyper-references The system providing for in-depth substantiation of solution Step-by-step performance Different regimes of task execution Control over the length of multiple-choice answer list System of answer selection System of hints System of analysis and evaluation of task performance System of methodical exercises Mechanisms of selection of methodical exercises	Database of educational tasks Database of types of educational tasks Database of elementary algorithms Database of solution algorithms Database of formulations Database of formulas and theorems Database of complexity levels Database of methodical tasks
Building abilities to solve independently	The system of organization of material by topics Detailed course of solution The system of hyper-references The system providing for in-depth substantiation of solution Step-by-step performance Different regimes of task execution Control over the length of multiple-choice answer list System of answer selection System of hints System of analysis and evaluation of task performance System of methodical exercises Mechanisms of selection of methodical exercises Methodical feedback	Database of educational tasks Database of types of educational tasks Database of elementary algorithms Database of solution algorithms Database of formulations Database of formulas and theorems Database of complexity levels Database of methodical tasks

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