الفهرس 
الاطار العام للبحثيوجد فقط 14 صفحة متاحة للعرض العام
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المستخلص
A) The problem of research and its questions:
The low level of analytical thinking in the first grade students of the secondary level, which requires the introduction of some modern mathematical topics, including the theoretical theory that helps in the development of analytical thinking for them, however noted that the Egyptian & Arabian school mathematics curricula, not interested in Joining curricula of Chaos Theory its
components and its various activities in their curricula, but focusing on education Mathematical structures and which failed to describe many of the characteristics of natural forms, however that several countries such as America, Britain, Japan, Australia and others have moved recently, specifically in 2002 to allocate part of mathematical school curricula to teach Chaos Theory.
Consequently, in the light of the recommendations of education experts to reconsider in the preparation of mathematics, especially Mathematical curriculum so disqualified grants electronically at all levels and dimensions.
Given the importance of Analytical thinking, as it represents as one of the basic components of the architecture Chaos Theory, current research seeks to experimenting with e-learning the application in the teaching of Chaos Theory and the development of analytical thinking skills among students of middle school,
Therefore, the current research seeks to testing the application of The Proposed Program in the Chaos Theory in teaching Chaos Theory and developing the analytical thinking for Secondary school student.
Therefore the problem of research determined in the answer of the following main question:
What is The Proposed Program in the Chaos Theory its Applications
and Effectiveness in the Achievement of its Mathematics
and the Development of Analytical Thinking
For Secondary School Students?
, a branch of the main question the following sub-questions:
a. What are the concepts, relationships and skills of some forms of Chaos Theory suited for Secondary school students?
b. What are the analytical thinking skills to suit the nature of the principles and laws of Chaos Theory?
c. What are the principles and criteria to The Proposed Program in the Chaos Theory in teaching of Chaos Theory, and the development of analytical thinking skills For Secondary School Students?
d. What is the image of a proposed model for the design of educational courses via The Proposed Program in the Chaos Theory?
B) The hypotheses of research:
The Current research tests the validity of the following hypotheses:
First, hypotheses associated with the Achievement
1- There are significant differences between the average grades of the study group: in the post application of the achievement test in Chaos Theory for the benefit of the group.
2- There are significant differences between the mean scores of the two applications: pre and post study of group of students - individually - in achievement test in Chaos Theory for the benefit of the post application.
Second, hypotheses associated with analytical thinking skills
3- There are significant differences between the average grades of the study group: in the application to test the dimensional analytical thinking for the benefit of the post application.
4- There are statistically significant differences between the mean scores two applications: pre and post study of group of students - individually - in testing analytical thinking for the benefit of the post application.
C) The statistical methods of research:
To verify the validity of previous hypotheses the current research used the following statistical methods:
1-t-test for independence samples
2-The test of ”square Eta” ”µ2” to measure the impact of experimental treatments in the case of existing a statistically significant difference to test of ”T.” (T-Test).
D) The aims of research: The Current research aims to the following:
1.Preparing the list of concepts and relationships of some Chaos Theory shapes that fit with mathematical background for Secondary school student.
2.Preparing a list of analytical thinking skills that fit with the principles and laws of Chaos Theory, and the nature of the Secondary school student thinking.
3.Preparing a proposed model for desgning the educational courses via The Proposed Program Chaos Theory.
4.Preparing a list of technical competencies which represent Prerequisite for junior the Secondary school student to study courses via The Proposed Program Chaos Theory.
5.Measuring the effectiveness of The Proposed Program Chaos Theory.
6.Individually in the teaching of concepts and relationships of some Chaos shapes, and development the analytical thinking skills for the Secondary school student.
E) The tools of research:
4.The Proposed Program in the Chaos Theory.
5.Achievement test.
6.Analytical thinking test.
F) The limits of research:
of Secondary 1 students schools in Ismailia governorate. Since the Secondary 1 students have studied enough of the principles of Chaos that are a prerequisite for teaching Chaos Theory.
G) The variables of research:
The variables of research are divided into:
Independence variables: include:
The Proposed Program in the Chaos Theory.
dependence variables : include :
Achievement in Chaos Theory.
Analytical thinking.