日本汉文史籍丛刊pdf:请翻译一下下面一段话（中译英）

Reconsiders 1: Mathematics and the life unifies, holds the knowledge the growing point, must be clear about the study mathematics for is what? The present mathematics has to the student far? This is a question which our mathematics classroom instruction must reply.
Reconsiders 2: Holds the humanist this teaching point of application.
1. Let the student discover the mistake.
2.Let the student participate in the observation, the analysis on own initiative.
3.Let the student participate in the exploration mathematics rule, mathematics fact on own initiative.
Reconsiders 3: Pays attention to the student to continue to develop, holds the study the innovation spot.
1.In the respect, the tolerant atmosphere, protects the impulse which the student innovates.
2.In the independent study, stimulates the desire which the student innovates.
3.In the open teaching, gives the freedom which the student innovates.
Reconsiders 4: In the present teaching reference book appears some problem solvings frequently wrong or the wrong topic, the teacher in prepares a lesson, in the selected topic must pay attention specially carefully, is earnest, also must use the critique the judgment to regard the question.

Reconsiders 1: Mathematics and the life unifies, holds the knowledge the growing point, must make clear the study mathematics for is what? The now mathematics has far to the student? This is the question which our mathematics classroom instruction must reply. Reconsiders 2: Holds by the artificial this this teaching 着力点. 1. lets the student discover the mistake. 2. Lets the student participate the observation, the analysis on own initiative. 3. Lets the student participate the exploration mathematics rule, the mathematics fact on own initiative. Reconsiders 3: Pays attention to the student continues to develop, holds the study creates 新点. 1. In the respect, the tolerant atmosphere, protects the impulse which the student innovates. 2. In the independent study, stimulates the desire which the student innovates. 3. In the opening teaching, gives the freedom which the student innovates. Reconsiders 4: In the present teaching reference book frequently appears some problem solvings is wrong or the wrong topic, the teacher in prepares a lesson, in the selected topic must specially pay attention carefully, is earnest, also must use critique judgement to regard question.

Reconsiders 1: Mathematics and the life unifies, holds the knowledge the growing point, must make clear the study mathematics for is what? The now mathematics has far to the student? This is the question which our mathematics classroom instruction must reply. Reconsiders 2: Holds by the artificial this this teaching 着力点. 1. lets the student discover the mistake. 2. Lets the student participate the observation, the analysis on own initiative. 3. Lets the student participate the exploration mathematics rule, the mathematics fact on own initiative. Reconsiders 3: Pays attention to the student continues to develop, holds the study creates 新点. 1. In the respect, the tolerant atmosphere, protects the impulse which the student innovates. 2. In the independent study, stimulates the desire which the student innovates. 3. In the opening teaching, gives the freedom which the student innovates. Reconsiders 4: In the present teaching reference book frequently appears some problem solvings is wrong or the wrong topic, the teacher in prepares a lesson, in the selected topic must specially pay attention carefully, is earnest, also must use critique judgement to regard question.