Integration Of Tech Information And Mathematical Concepts Teaching In The APOS And OSA Theory

The status of mathematical concepts in mathematical learning is fundamental.As the core of mathematical knowledge points,mathematical concepts are of great significance to our learning knowledge and practice.The APOS theory was proposed by American mathematics educator Dubinsky in the 1980 s,which is based on curriculum reform to make students become main part in learning,is a constructivism theory on the learning of mathematical concepts.In the 1990 s,Spanish mathematics educators Godino,Font and others The OSA theory,which was jointly researched and developed,is an onto-semiotic theory that analyzes the production process of the main objects in mathematical activities.The former emphasizes the subjectivity of students and mathematical concepts should be combined with real-world examples in the teaching process.Students connect the concepts and examples through their own experiences.Then they can experience the formation of mathematical concepts.The latter combines mathematical objects,as an appropriate structure,applied to its theoretical framework,the metaphor of "climbing the ladder" is used to explain the process of producing the main object.The connection between the two theory is the mathematical object and its formation process.The formation of mathematical concepts requires such a process.Information technology can present this process intuitively and vividly.Therefore,the fusion of the two theory has a richer connotation for the establishment of mathematical concepts.In this article,I firstly analyze the research background and use the literature analysis method to comprehensively analyzing the literature and theoretical basis related to this research.Next,I analyze the necessity and feasibility of the integration of information technology and mathematical concept teaching based on the two theories and use APOS theory and OSA theory as the guiding ideology to combine information technology and mathematical concepts to design a design that meets students’ cognition and thinking develop and analyze teaching cases.Finally,through interviews and questionnaires,the results of the integration of information technology and mathematical concept teaching are investigated and analyzed,and the research is summarized and reflected,and research prospects are put forward.The research content can be divided into the following parts: Firstly,I stated the concepts of APOS theory and OSA theory and the relationship between the two theories.Secondly,I analyzed the current situation of information technology and mathematical concept teaching.Thirdly,I tried to design and analyze teaching cases in the two theories.The research first emphases the characteristics of OSA theory and the integration with APOS theory and also stresses that I tried to give instructional design guided by the two theories and analyzed them from two perspectives.In summary,I analyzed the meaning and connection of APOS and OSA theories in this research and used them as the theoretical basis to analyze the integration of conceptual teaching and information technology.These works have certain guiding significances for perfecting actual teaching.