Research On The Teaching And Learning Of Geometric Probability And The Design Of Teaching Case

The probability is the study of law of random phenomena,for people to know the objective world provides an important thinking mode to solve the problem.Geometric model is one of the important part of the high school mathematical probability probability model,the application of the mode is very extensive,But due to the abstract content,the content of the teaching and learning is a problem.Found through the literature,the scholars of geometric model research a lot of focus on the geometric model of problem solving,and class teaching,case analysis,the present situation of teaching and learning of teachers and students study is not much.This article will study from the perspective of teachers and students two investigation teaching status of geometric model.This paper studies from the following several parts:The first part: to collect literature.In four angles: about "probability" teaching research literature;Research on "probability" learning situation;About "geometry scheme" teaching research;Study of research on "geometry scheme".The second part: the design of the questionnaire survey students' learning situation,teachers' teaching situation,according to the questionnaire to survey Objects for individual interviews.Summarized the geometry scheme the problems existing in the teaching and learning.Teacher's teaching in the following points:(1)knowledge literacy.In terms of professional knowledge accomplishment,to professional teachers Knowledge of proficiency is not enough;Don't know much about the history of mathematics knowledge;In terms of education knowledge accomplishment,to understand students' learning psychology;To the cultivation of students' metacognitive ability needs to continue to strengthen,especially "impulse" quality of the students;Old teacher is to impart knowledge and teaching process,and light training ability of traditional value concept.(2)the teaching mode.Such as type of situationality teaching model with less,the students' subjectivity has not been fully reflected.(3)teaching methods.Teachers' attention to students' practical ability is not enough;Degree of "mathematics education into daily life" is not enough.(4)the training situation.Teachers training opportunity and way to learn is less;Part of the teachers "lifelong learning" consciousness is shallow.(5)the reflection feedback.A small part of the concept of teacher lack self-reflection.Students learning problems:(1)metacognitive ability.Some students metacognitive ability is poor;There is a difference between girls and boys.(2)concept learning.Many students to study the conception of understanding is not thorough,only superficial;On geometric model and confused the concept of classical subscheme,produced the negative transfer of knowledge.According to the students' learning situation in concept,design concept pieces of case teaching.(3)the learning habit.Many students study habits problem,some is due to poor students' metacognitive ability.(4)interest in learning.As a result of the mathematical knowledge abstraction,many students have no interest in mathematics;The use of teachers' teaching mode,teaching methods,the relationship between teachers and students also affects the students' interest in learning.Existing literature on the geometric model of teaching and learning research literature,the author want to pass in the process of practice,the study of literature,according to the analysis of the results of the investigation,to understand their difficulties and obstacles in this part of the learning from the knowledge itself,analyzes the psychological aspects of students and teachers.As a first-line teachers provide certain reference value.