Mathematics Learning Strategies And Their Guidance

This article put forward that when you teach students how to study maths, you should regard the students as the main role and pay attention to the cooperation and exchange between the main parts. You should obey the basic thoughts of constructivism and humanism; If a student want to master the strategy of study, he must think deeply about the experience of study and regulate by himself; We should understand the idea 'To teach him to fish is better than to give him fish" with a new thought.With the instructions of this basic idea, this article put forward eight basic principles on how to teach students learn maths. (1)The principle on the practice of the main role. That is, the students can't be replaced as the main roles of the study practice. The teacher's instructions can have its effect on condition that the students must "understand" and "master" them during the course of study. (2)The principle on the best motive. That is, when teachers teach students how to study, they should first arouse the students' necessity to the strategies of study. And the teacher should strengthen the instructions with a clear aim during the course of the students' mastering the strategies and lead students to finish the work that is full of challenge with certain strategies. (3) The principle on self-discovery. The instructions on the strategies of study are not to teach the students the strategies directly but to create a situation which can make the students find something by themselves. (4) The principle on systematicness. The study ability is a kind of comprehensive ability. All kinds of intellectual and non-intellectual aspects can't be neglected in the instructions of study strategies. At the same time of stressing certain aspects, other aspects should be thought over. (5)The principle on experiencing the course. The practice of any strategies shows as certain course. The course is the active expression of study strategies. If a student wants to master the study strategies, he has to go over and think over the course of using the strategies to improve the level of practical recognition and make the aim of forming and mastering study strategies come true. (6)The principle on "mathematics reality". The study strategies of mathematics can't live separately without the relative specific contents. Basically, the study strategies of maths come from common "mathematics reality". And it improveswith the development of mathematics. At the same time, the students also should base on their own "mathematics reality" to master the relative study strategies. The teacher's instructions should obey the two "realities". (7)The principle on mathematicization. Mathematicization is a foundamental way of studying maths. Other study strategies and methods on maths are all the results of "mathematicization". Therefore "mathematicization" should be one of the basic principles on methods of maths study. (8)The principle on teaching in class and making progress gradually. Class studying is the1 main medium of studying and mastering how to study to the students. The study strategies are mainly used during the course of class study. However, class teaching can't become absolute method-teaching, or it will weaken the subject of teaching. Besides, as a result of the seperation of methods and specific contents. It is hard to grasp the methods for the students. So the instructions on study strategies during the course of class teaching should base on specific contents and relative methods, basic thought and ideas included. It should progress gradually.This article founds the study strategies on two aspects of the course of maths study: understanding maths and solving maths problems. It gives some instructions on how to instruct students on some relative aspects during the course of study on the base of principle on understanding maths and solving maths problems. To make clear the type of study methods can strengthen the aim and efficiency of the instructions.The strategies of understanding mathematics is a kind of macroscopic and directing met...