Research on the Teacher-Student Interaction in Mathematics Teaching
For a long time, math teaching teachers in a classroom, full house irrigation phenomenon is serious, the students usually understand only teachers or textbook writers point of view, they rarely have the opportunity to express their ideas and ideas, so as a passive role in listening to students can not play to their own The result of the knowledge control will be greatly reduced, and the speed of the ability cultivation will be slowed down, which will hinder the students#39; innovation spirit and practical ability training seriously. In recent years, the university mathematics education has paid more attention to the teaching reform, the problem solving, the heuristic, The teaching reform is only concerned with the activities of 'teaching', while the neglect of the 'teaching' is the main reason for the teaching reform. 'Learning' activities, and thus can not accurately understand the students#39; real thinking activities, can not grasp the process of teaching and rhythm of teaching, greatly affected the teaching effect. Therefore, it is necessary to mathematics teaching interaction between teachers and students to do Out to explore.
一、The Theoretical Basis of Interaction between Teachers and Students in Mathematics Teaching
From the perspective of developmental psychology, practice is the basis of human psychology, cognition, consciousness generation and development. Human psychology is formed and developed in the activity, the richness of human personality depends on the content of his activities. If Depriving people of freedom of movement, his mental development will be hampered. In the students how to acquire knowledge and experience on the issue, the American educator Dewey#39;s point of view is worth learning from him. He believes that knowledge and experience by indoctrination is not enough, Students in a variety of practical activities by constantly discover and solve problems to enrich and transform their experience to obtain true knowledge; he advocates the potential of students to explore the wisdom of the students in teaching play a fully active role in the student#39;s Interest and ability to get free full development. The modern teaching theory, in the teaching process should enable students to systematically grasp the basic knowledge and skills to meet their cognitive needs, but also to promote the development of students to meet the students Growth of intelligence, ability to cultivate and interest expertise to form a good personality and the psychological quality of the needs of creativity, etc. To achieve both the task of ensuring the students#39; understanding and ensure the full completion of student development tasks, teachers and students need to both enthusiasm and Initiative as a basis, or awareness and development of the successful completion of the dual task is difficult to imagine.
According to the analysis of contradictions in the teaching process, teachers and students constitute the main body of teaching, teachers and students play different roles, each engaged in activities of mutual contact and mutual restraint.Zhong Qiquan believes that 'the nature of teaching In the communication and cooperation, teaching and learning is the relationship between the interaction, the relationship between educators and educators are interactive subjective partnership. 'At some point in the teaching process can be teachers to teaching But at another moment by the students dominate the role of this moment, the content of teaching activities, organizational arrangements and the speed may be mainly determined by the student#39;s learning activities, and requires teachers to the activities of the activities of the teacher#39;s activities, Such as students in the independent exploration, experimental research, students need only the guidance of teachers, coaching and encouragement, knowledge is no longer blindly by the teachers to inform. Therefore, only the teachers and students are both teachers and students are learning, As the active role of teaching activities and elements of the relationship between teachers and students as the main body of each other, interdependence and cooperation with each other in order to truly reflect the nature of teaching activities, so that the vitality of teachers and students get in the classroom Give full play to make the teaching process itself has the ability to generate new factors, with their own, jointly created by the vitality of teachers and students.
From the perspective of the characteristics of mathematics learning, the highly abstract nature of mathematics can easily lead to the separation of teaching content from students#39; real life, and the corresponding teaching activities are often distorted, mutated, formalized and superficial. In mathematics teaching, Is based on the logical system of mathematical theory, and this logical system of knowledge in the order and the mathematical theory of the real discovery process is often the opposite (true discovery process commonly used 'analysis', while the logical system is 'deductive' ), Thus, according to the textbooks for learning is often the 'anti-thinking process' activities: the mathematics as a purely mathematical reasoning, as 'logical reasoning' to learn a form of mathematics originally has the richness and variety It is clear that in such activities, the students#39; understanding of knowledge, abstract generalization, logical reasoning ability in the performance of temporary lag, subjectivity, creativity is difficult to get real development. Therefore, the teacher We should change the teaching material from the concept to the concept, from the theorem to the inference, everywhere stressed the logical deduction of the strictness of the situation, to provide students with mathematical activities and exchange of situations and opportunities for students thinking to experience a from fuzzy
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外文原文
Research on the Teacher-Student Interaction in Mathematics Teaching
For a long time, math teaching teachers in a classroom, full house irrigation phenomenon is serious, the students usually understand only teachers or textbook writers point of view, they rarely have the opportunity to express their ideas and ideas, so as a passive role in listening to students can not play to their own The result of the knowledge control will be greatly reduced, and the speed of the ability cultivation will be slowed down, which will hinder the students#39; innovation spirit and practical ability training seriously.In recent years, the university mathematics education has paid more attention to the teaching reform, the problem solving, the heuristic, The teaching reform is only concerned with the activities of 'teaching', while the neglect of the 'teaching' is the main reason for the teaching reform. 'Learning' activities, and thus can not accurately understand the students#39; real thinking activities, can not grasp the process of teaching and rhythm of teaching, greatly affected the teaching effect.Therefore, it is necessary to mathematics teaching interaction between teachers and students to do Out to explore.
The Theoretical Basis of Interaction between Teachers and Students in Mathematics Teaching
From the perspective of developmental psychology, practice is the basis of human psychology, cognition, consciousness generation and development.Human psychology is formed and developed in the activity, the richness of human personality depends on the content of his activities.If Depriving people of freedom of movement, his mental development will be hampered.In the students how to acquire knowledge and experience on the issue, the American educator Dewey#39;s point of view is worth learning from him.He believes that knowledge and experience by indoctrination is not enough, Students in a variety of practical activities by constantly discover and solve problems to enrich and transform their experience to obtain true knowledge; he advocates the potential of students to explore the wisdom of the students in teaching play a fully active role in the student#39;s Interest and ability to get free full development.The modern teaching theory, in the teaching process should enable students to systematically grasp the basic knowledge and skills to meet their cognitive needs, but also to promote the development of students to meet the students Growth of intelligence, ability to cultivate and interest expertise to form a good personality and the psychological quality of the needs of creativity, etc. To achieve both the task of ensuring the students#39; understanding and ensure the full completion of student development tasks, teachers and students need to both enthusiasm and Initiative as a basis, or awareness and development of the successful completion of the dual task is difficult to imagine.
According to the analysis of contradictions in the teaching process, teachers and students constitute the main body of teaching, teachers and students play different roles, each engaged in activities of mutual contact and mutual restraint.Zhong Qiquan believes that 'the nature of teaching In the communication and cooperation, teaching and learning is the relationship between the interaction, the relationship between educators and educators are interactive subjective partnership. 'At some point in the teaching process can be teachers to teaching But at another moment by the students dominate the role of this moment, the content of teaching activities, organizational arrangements and the speed may be mainly determined by the student#39;s learning activities, and requires teachers to the activities of the activities of the teacher#39;s activities, Such as students in the independent exploration, experimental research, students need only the guidance of teachers, coaching and encouragement, knowledge is no longer blindly by the teachers to inform.Therefore, only the teachers and students are both teachers and students are learning, As the active role of teaching activities and elements of the relationship between teachers and students as the main body of each other, interdependence and cooperation with each other in order to truly reflect the nature of teaching activities, so that the vitality of teachers and students get in the classroom Give full play to make the teaching process itself has the ability to generate new factors, with their own, jointly created by the vitality of teachers and students.
From the perspective of the characteristics of mathematics learning, the highly abstract nature of mathematics can easily lead to the separation of teaching content from students#39; real life, and the corresponding teaching activities are often distorted, mutated, formalized and superficial.In mathematics teaching, Is based on the logical system of mathematical theory, and this logical system of knowledge in the order and the mathematical theory of the real discovery process is often the opposite (true discovery process commonly used 'analysis', while the logical system is 'deductive' ), Thus, according to the textbooks for learning is often the 'anti-thinking process' activities: the mathematics as a purely mathematical reasoning, as 'logical reasoning' to learn a form of mathematics originally has the richness and variety It is clear that in such activities, the students#39; understanding of knowledge, abstract generalization, logical reasoning ability in the performance of temporary lag, subjectivity, creativity is difficult to get real development.Therefore, the teacher We should change the teaching material from the concept to the concept, from the theorem to the inference, everywhere stressed the logical deduction of the strictness of the situation, to provide students with mathematical activities and exchange of situations and opportunities for students thinking to experience a from fuzzy t
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