Article 17316

Title of the article



Rodionov Mikhail Alekseevich, Doctor of pedagogical sciences, professor, head of sub-department algebra and methods of teaching mathematics and computer science, Penza State University (40 Krasnaya street, Penza, Russia),
Dedovets Zhanna, Lecturer, School of Education, Faculty of Humanities & Education, The University of the West Indies (19 Springfield avenue, Valsayn, the Republic of Trinidad and Tobago),
Kostanova Natalia Khristoforovna, Postgraduate student, Penza State University (40 Krasnaya street, Penza, Russia),

Index UDK





Background. The most important criterion to achieve a student engagement in a given task is to provide the opportunity to participate in the process of task selec-tion, its formulation and search for the possible solution. In particular this should in-clude students carrying out the task composition under the teacher's guidance. This task composition can be based on analysis of a given geometrical configuration. Students can use generalization and concretization of initial task conditions. They can apply induction, analogy, content interpretation for the task conditions to de-scribe them in more than mathematical or indeed other language. As a result, a whole, integrated cluster of tasks can be created. These tasks are linked together in a single motivational canvas in students consciousness. The linkages are created based on the actualization of various relationship types such as inclusion, crosscut, analogy, and containment. The goal of this research is to develop techniques and methodology to assist students in creating and researching task cycles. The method-ology is based on analysis of an existing drawing of appropriate geometric configu-ration. The drawing is used as a basic demonstrative model of a given situation.
Materials and methods. As a research subject, chains of related geometric prob-lems are discussed. Several research methods are used by the authors. They are include system analysis, the dialectical method and the modelling of students’ moti-vational state during various stages of a research process.
Results. The results have demonstrated the significance of this research with regard to the construction of mathematical problem definitions by the students via the actualization of motivational mechanisms during their research activities. The procedures to draft and research problem cycles have been developed. The classification of heuristic approaches for mathematical problem solving has been suggested.
Conclusions. Focusing students’ research activity on task configuration and composition of mathematical task cycles strengthens the developmental and motivational potential of mathematical educational content. The more difficult the task and the selected approach to solve the said task is for the student, the more personal significance it has for him.

Key words

mathematical problem, motivational actions mechanism, students’ educationally-search activity, heuristic method.

Download PDF

1. Soyer U. U. The prelude to mathematics. Moscow: Prosvezhenie, 1972, 192 p.
2. Searching the problems of psychology of Y.L.Ponomaryov.Moscow:Pedagogic,1983, 336p.
3. Kulyutkin Y. N. Heuristic methods in the structure solutions. Moscow: Pedagogic, 1970, 230 p.
4. Rodionov M. Les critères de sélection du contenu des cours électifs de mathématiques. Des jeux a la creativite. Méthodes d’éducation active: Actes du Colloque organize par la FIDJIP (Fédération Internationale du Systéme JIP), l’EUROTALENT (ONG dote du statut consultative auprés du Conseil de l’Europe). Sables d’Olonnes, France, Juillet 2007 [Content selection criteria for elective courses of mathematics. Creative games. Active teaching methods: proceedings of the FIDJIP symposium (International Federa-tion of the JIP system), EUROTALENT (Non-governmental consulting organization under the European Council). Sables d’Olonnes, France, July 2007]. Boulogne: Editions du JIPTO, 2007, pp. 161–163.
5. Rodionov M., Marina E. Developing version thinking through drawing problems. Pen-za: PGPU, 2006, 95 p.
6. Rodionov M., Velmisova S. Construction of Mathematical Problems by Students Themselves: AIP conf. proc. (October 30, 2008). Vol. 1067, pp. 221–228. Available at:


Дата создания: 27.01.2017 11:08
Дата обновления: 30.01.2017 10:25