| Abstract [eng] |
This work focuses on questions concerned with representation of mathematical knowledge. In the first part there are pointed out knowledge and cognitive development theory elements, while the other part of the work deals with schemes and techniques of knowledge representation. Futher general models of knowledge representation are applied for mathematical knowledge. In addition, according to development of function concept there are discovered both cycles of knowledge existence and resilient knowledge models. Apart from this, there are discovered metacognitive tools, such as Vee diagrams, concept circle diagrams, concept maps, semantic networks for function and differential equation concepts, based on general ways of knowledge representation ways. Functional models either schemes of function or differential equation concepts representation might be applied for teaching. Besides schemes are useful while learning by own. |
