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Knowledge |
Abilities |
Experience |
Problem Statement |
Differences between the goals and conditions of the problem. Knowledge of the main types of problems from the subject area "Mathematics and Computer Science" |
To set a problem focused on the achievement of a specific goal |
Formulating the condition of a problem with different degrees of formalization |
The construction and analysis of models of objects and processes considered in the problem |
The concept of the model, the properties of models, the adequacy of the model to the modeled object and the purposes of modeling |
To construct and evaluate various models: appearance, structure, behavior |
Constructing and evaluating various models |
The choice of the method for solving the problem |
The concept of method and technology, the method and technology of solving the problem. Technologies as an aggregate of stages, operations and actions. |
Search for optimal methods for solving the problem, compare various methods |
Solve problems using various methods |
Formalization |
Formalization as a method of bringing the model to a given form |
To formalize the given situations using the given forms (graphs, formulas, diagrams, etc.) |
Formalization of objects and processes involved in the formulation of the problem |
Implementation of the selected method |
Program and technologyas ways of the solving the problem |
To choose a method of solution appropriate to the problem |
Writing elementary programs and selecting the appropriate software |
Analysis of the obtained results |
Methods of analyzing the results for consistency, for the relevance to the conditions of the problem |
Analyze the obtained results for consistency, completeness of information, etc. |
Analyzing the obtained results for relevance to the problem. |
Correction of models and method of solution |
Quantitative and qualitative assessments of the model, choice of the model corresponding to the declared parameters |
Modify the model in order to eliminate the discrepancy with the goals of the problem |
Model correction based on results of the task solution check |
Application of the obtained results. |
Fields of application of the results obtained and possible limitations. |
Determine possible limitations in the results application. |
Applying the results of problem solution in learning and practical activities. |