Introducing Learning Creative Mathematical Activity for Students in Extra Mathematics Teaching

Abstract

The objective of the research is determined by the need to introduce creative learning mathematics activities for school students, because that is one of the ways of ensuring the effective acquisition of knowledge at the intersubject level and further successful adaptation while choosing a future career. Moreover, the resources of extra mathematics teaching at a general secondary school can be widely used. Thus, the purpose of the research is a) studying the theoretical basis for stimulating creative learning mathematics activities for the students and b) developing the teaching techniques of this stimulation in extra mathematics teaching at general secondary schools. The leading methods are a) modeling the task systems ensuring the development of the five types of learning activities: reproductive, productive, research, project, and project-research and b) the system analysis of the selections of experimental data based on estimating three criteria: fluency -the ability to generate a lot of ideas; flexibility -the ability to produce different ideas; ingenuity -the ability to react unconventionally. The experimental research has been carried out since 2001 and the problem systems characteristic of the five types of learning activities have been used. Subsequently, methodological approaches in extra mathematics teaching have been developed introducing creative mathematics activities for students.Keywords: Extra mathematics teaching. Learning mathematics activities. Creative learning mathematics activity. Research activities of students. Project mathematics activities. Inter-subject connections. ResumenLa actualidad de la investigación está determinada por la necesidad de introducir un aprendizaje creativo en las actividades matemáticas para los estudiantes de las escuelas, porque es una de las formas de asegurar la adquisición efectiva de conocimientos a nivel inter-sujetos y una adaptación más exitosa al elegir la futura carrera. Además, porque los recursos adicionales de enseñanza de matemáticas, en la escuela secundaria, pueden ser ampliamente utilizados. El objetivo de la investigación es estudiar la base teórica de estimulación del aprendizaje creativo de las actividades matemáticas en los estudiantes, y desarrollar las técnicas didácticas de su estimulación en la enseñanza adicional de matemáticas en la escuela secundaria. Los métodos principales son: a) modelación de sistemas de tareas que aseguren el desarrollo de los cinco tipos de actividades de aprendizaje (reproductivo, productivo, investigativo, de proyecto y proyectivo-investigativo), b) análisis sistémico de la selección de datos experimentales, basado en la estimación de tres criterios: fluidez en la capacidad de generar muchas ideas, flexibilidad de producir ideas diferentes e ingenio para reaccionar de forma no convencional. La investigación experimental se ha desarrollado desde el 2001, utilizándose los sistemas de problemas característicos de los cinco tipos de actividades de aprendizaje. Posteriormente, los enfoques metodológicos en l...

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