Search results for author:"Mikhail Bouniaev"
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Mikhail Bouniaev
Southern Utah University

Math on the Web for Online and Blended Teaching: Learning Theories Perspectives
Mikhail Bouniaev
World Conference on Educational Media and Technology 2004 (2004) pp. 3816–3821
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...
Topics: Learning Management Systems

Some Psychological Aspects of Using Information Technologies in Teaching Linear Algebra
Mikhail Bouniaev
International Conference on Mathematics / Science Education and Technology 2000 (2000) pp. 83–88
Despite the indisputable advantages of using information technologies in teaching mathematics in general and linear algebra in particular certain problems related to technologyoriented education have become quite evident now. The presentation...
Topics: Educational Technology, Preservice Teacher Education

Some Psychological Aspects of Using Information Technologies in Teaching Linear Algebra
Mikhail Bouniaev
Society for Information Technology & Teacher Education International Conference 2000 (2000) pp. 1040–1047
Despite the indisputable advantages of using information technologies in teaching mathematics in general and linear algebra in particular certain problems related to technologyoriented education have become quite evident now. The presentation...
Topics: Educational Technology, Preservice Teacher Education

Using Databases in Teaching Advanced Mathematics Courses
Mikhail Bouniaev
EdMedia: World Conference on Educational Media and Technology 2001 (2001) pp. 167–172
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 ...
Topics: Mathematics, Developmental Stages

Orientation, Execution, and Control in Online Mathematics Teaching
Mikhail Bouniaev
World Conference on ELearning in Corporate, Government, Healthcare, and Higher Education 2005 (October 2005) pp. 23–28
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 ...

StagebyStage Development of Mental Actions and Online Mathematics Instruction
Mikhail Bouniaev
Society for Information Technology & Teacher Education International Conference 2004 (2004) pp. 4366–4373
The features that were developed in recent years in the Learning Management Systems like Blackboard, WebCT, eLearn, NetTutor along with available online environments like MathLive Maker or Maple Server enable the successful organization of...
Topics: Mathematics, Learning Management Systems, Developmental Stages

Multimedia and Didactic Models in Mathematical Instruction
Mikhail Bouniaev
EdMedia: World Conference on Educational Media and Technology 2003 (2003) pp. 2064–2067
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...
Topics: Teaching Methods, Mathematics

General Logic Actions and Databse Oriented Methods of Their Development in Teaching Advanced Calculus
Mikhail Bouniaev
Society for Information Technology & Teacher Education International Conference 2002 (2002) pp. 1049–1053
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...
Topics: Mathematics, Teachers

Using Databases in Teaching Advanced Mathematics Courses
Mikhail Bouniaev
Society for Information Technology & Teacher Education International Conference 2001 (2001) pp. 1335–1340
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 ...
Topics: Developmental Stages, Mathematics

Teaching and learning actions in mathematics: What we do and what we do it upon
Michael Connell; Mikhail Bouniaev
Society for Information Technology & Teacher Education International Conference 2003 (2003) pp. 2884–2891
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...
Topics: Computers, Educational Technology, Students

StageByStage Development of Mental Actions and ComputerBased I Nstruction
Mikhail M. Bouniaev
Society for Information Technology & Teacher Education International Conference 1996 (1996) pp. 979–982
Practical experience shows that use of information technologies is most effective when it is based on the general pedagogical principles of instruction while incorporating the specifics of computerbased instruction (CBI). Some wellknown...

Computer Based Instruction and General Logic Actions Development in Teaching Mathematics
Mikhail M. Bouniaev
International Conference on Mathematics / Science Education and Technology 1999 (1999) pp. 211–215
In this paper based on the theoretical foundation of StagebyStage 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...
Topics: Developmental Stages, Mathematics

Linear Algebra With MATLAB Package In Preservice Teacher Education
Mikhail M. Bouniaev
Society for Information Technology & Teacher Education International Conference 1998 (1998) pp. 588–592
The psychological theoretical foundation of this paper is the theory of stagebystage development of mental actions (SSDMA theory) elaborated by the Russian school of psychology (Leontyv, 1972; Galperin, 1979; Talizyna 1975,

Linear Algebra With MATLAB Package In Preservice Teacher Education
Mikhail M. Bouniaev
Society for Information Technology & Teacher Education International Conference 1997 (1997) pp. 588–592
The psychological theoretical foundation of this paper is the theory of stagebystage development of mental actions (SSDMA theory) elaborated by the Russian school of psychology (Leontyv, 1972; Galperin, 1979; Talizyna 1975,

Training Students in Russia to Teach Mathematics with Information Technologies
Mikhail M. Bouniaev
Society for Information Technology & Teacher Education International Conference 1995 (1995) pp. 49–52
The system of training future math teachers in Russia, as well as in the former Soviet Union, has been in a state of transformation, innovation and adjustment during the last 25 years. However, despite all these reforms, the system of higher...

Constructivism and SSDMA as basis for technology use in mathematics teacher education.
Mikhail Bouniaev; Michael L. Connell
Society for Information Technology & Teacher Education International Conference 1999 (1999) pp. 940–944
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 ...
Topics: Mathematics, Educational Technology

Constructivism and Ssdma  Implications of Two Learning Theories on Technology Use in Mathematics Teacher Education
Michael L. Connell; Mikhail Bouniaev
Society for Information Technology & Teacher Education International Conference 1996 (1996) pp. 234–239
This paper presents a comparative analysis of practical recommendations for using technologies in teaching two themes of prealgebra course based on a theory of contructivism and theory of stagebystage development of mental actions (SSDMA theory). ...