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In this paper based on the theoretical foundation of Stage-by-Stage Development of Mental Action Theory (further on DMA theory) we analyze the structure of different actions of undergraduate mathematical courses that must be developed in students...

This paper further investigates two models of teaching/learning mathematics that have proven effective using enhanced instructional technology. The first, cognitive constructivism is based upon the work of Cornu and Dubinsky (1989) and Connell ...

This paper is a follow up of the papers that discussed how information technologies could be used in teaching Advanced Mathematics (Bouniaev, 1995) and in developing general logic actions (Bouniaev, 1999). Here we discuss the possibility of using ...

Despite the indisputable advantages of using information technologies in teaching mathematics in general and linear algebra in particular certain problems related to technology-oriented education have become quite evident now. The presentation...

This paper discusses how databases can be used in developing general logic actions in teaching Advance Calculus. The methodology of teaching advanced calculus that we are currently developing has a special importance for training mathematics...

In this paper we discuss some tools and environments (like LiveMath Maker, Maple Server, MathType, whiteboards) incorporated to Leaning Management Systems that were created for better online communication and online teaching mathematics and how...

The features that were developed in recent years in the Learning Management Systems like Blackboard, WebCT, e-Learn, NetTutor along with available online environments like MathLive Maker or Maple Server enable the successful organization of...

Analysis of the use of modern technologies in teaching mathematics reveals that in many cases the core of every methodology is developing a didactic model. There exist a number of requirements for the process of modeling that should be met for the...

Despite the indisputable advantages of using information technologies in teaching mathematics in general and linear algebra in particular certain problems related to technology-oriented education have become quite evident now. The presentation...

This paper is a follow up of the papers that discussed how information technologies could be used in teaching Advanced Mathematics (Bouniaev, 1995) and in developing general logic actions (Bouniaev, 1999). Here we discuss the possibility of using ...

Using technology in mathematics education without understanding the actions performed by the computer and how to interpret them is particular dangerous. Often students get correct answers - defined by "corresponding to the back of the book" using a...

Proponents of modern constructivism such as E. Dubinsky (1992) in collegiate mathematics or M. Connell (2001) in elementary education mathematics while developing theories of mathematical abstractions in fact discuss what particular actions and ...