الفهرس 
الفصل الأول الإطـــار العــــام للبحثيوجد فقط 14 صفحة متاحة للعرض العام
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المستخلص
As a result of this rapid development of knowledge and the inability of the student to store all the information in his memory, the interest in teaching the individual how to deal with the developments and information processing and solving the problems that can be faced as a result of this development Has become inevitable.
Therefore, developing students’ ability to deal with information and address it is an educational goal in order to be able to interact with the information revolution and scientific and technological progress. This requires the development of methods of processing information to students and attention to what happens inside their brains during the reception of information and how to organize, schedule and memory.
This is the role of the mathematics curriculum. It is a fertile ground for acquiring the skills of information processing and development using knowledge, facts, rules and mathematical laws and spreading this knowledge to various daily activities and life.
Which necessitates the need to address the content of the study or propose new topics contribute to the development of thinking of different types, and the development of information processing skills.
The fractal geometry as a branch of modern mathematics is one of the areas that can be invested to develop the skills of processing mathematical information as it stimulates thinking and inquiry among learners by examining and analyzing the components of fractal shapes. The student reveals through his constant connection to forms in nature with the mathematical properties of fractal geometry.
Because each learner has his or her own style and style that prefers to learn, think and process new information, in 1972, Byrne McCarthy introduced a system for the design and organization of curricula to follow learning patterns called the 4MAT System. Physiology, brain research and David Kolb’s theory.
In light of this, a program has been developed in the fractal geometry based on the 4MAT system and its effectiveness in developing the skills of processing mathematics information in the first grade students.
Research problem and his questions.
• Low level of information processing skills among high school students.
• Non-achievement of the mathematics curriculum at the secondary level of the criterion for the study of topological and fractional geometry characteristics contained in the standard standards document for the content of mathematics.
• The negative attitude of high school students towards mathematics and their reluctance to study.
The researcher sought to address this problem by introducing a program in the fractal geometry based on the 4MAT system, and measuring its effectiveness in developing the skills of information processing and the direction towards mathematics among the students of the first grade secondary, so the current research tried to answer the following main question:
• What is the effectiveness of a program in fractal geometry based on the 4MAT system in developing information processing skills and the trend towards mathematics among first grade secondary students?
This question was answered by answering the following sub-questions:
1. What is the effectiveness of a program in fractal geometry based on the 4MAT system in developing the application skill of the first grade secondary students?
2. What is the effectiveness of a program in fractal geometry based on the 4MAT system in developing the interpretive skill of first grade secondary students?
3. What is the effectiveness of a program in fractal geometry based on the 4MAT system in developing the skill of discovering relationships and patterns among the first grade secondary students?
4.What is the effectiveness of a program in fractal geometry based on the 4MAT system in developing the skill of evaluating the information of the students of the first grade secondary?
5. What is the effectiveness of a program in fractal geometry based on the 4MAT system in developing information processing skills as a whole (application - interpretation - discovery of relationships and patterns - assessment of information) in first grade secondary students?
6. What is the effectiveness of a program in fractal geometry based on the 4MAT system in developing the trend toward mathematics among the first grade secondary students?.
Research objectives.
Current research aims to:
1. Measuring the effectiveness of a program in fractal geometry based on the 4MAT system in developing the application skill of first grade secondary students.
2. Measuring the effectiveness of a program in fractal geometry based on the 4MAT system in developing the interpretive skill of the first grade secondary students.
3. Measuring the effectiveness of a program in fractal geometry based on the 4MAT system in developing the skill of discovering relationships and patterns among the first grade secondary students.
4. Measuring the effectiveness of a program in fractal geometry based on the 4MAT system in developing the skill of evaluating the information in the first grade secondary students.
5. Measuring the effectiveness of a program in fractal architecture based on the 4MAT system in developing information processing skills as a whole (application - interpretation - discovering relationships and patterns - assessment of information) in first grade secondary students.
6. Measuring the effectiveness of a program in fractal geometry based on the 4MAT system in developing the trend toward mathematics among the students of the first grade secondary.
The importance of research.
• For the teacher:
The current research can help the teacher by providing:
- A program in fractal geometry to introduce them to this new geometry and how to present it in the form of programs or enrichment activities for students.
- 4MAT system as a planning and education system that takes into account the patterns of learners and the individual differences between them.
- Test the skills of information processing and the measure of the direction of mathematics.
• For mathematics teachers:
Current research may help math teachers instruct teachers to help them plan well and teach in Format to take into account different learner patterns and develop students’ information processing skills.
• For teachers training:
The current research may help train teachers in building their training programs. The content of these programs will include the introduction of fractal geometry as a new geometry that reflects the development of mathematics, the definition of the system as a planning and learning system to take into account the different types of learners,
• For curriculum planners:
The current research may assist designers and curriculum planners in reviewing, reconstructing and presenting curricula in a way that helps make the learning process meaningful. It will be infused with concepts and ideas of modern mathematics such as fractal geometry as well as curriculum planning that takes into account individual differences between learners and their different learning styles, Contribute to the development of students’ information-processing skills.
• For teachers of teaching methods:
This research may help to rethink curricular courses so that their content includes the 4MAT system as a planning and education system, and train students to apply it
.Beyond research.
Current search was limited to the following limits:
• A group of students of the first grade of the secondary school of Ehansia secondary Girls - Center Ehansia - Beni Suef Governorate.
• Measuring the skills of processing the following information: (application - interpretation - discovery of relationships and patterns - assessment of information).
• Measuring the direction in the following aspects: (students ’orientation towards the nature of mathematics - students’ orientation towards mathematics value - students ’attitudes toward mathematics learning - students’ tendency to enjoy math activities - the concept of self in mathematics).
Hypotheses .
To answer research questions researcher assumed the following hypotheses:
1. There is a statistically significant difference between the average scores of the first grade secondary students (the research group) in the tribal and remote indices to test the application skill for the post-application.
2. There is a statistically significant difference between the average scores of the first grade secondary students (the research group) in the tribal and remote indices to test the interpretation skill in favor of the post-application.
3. There is a statistically significant difference between the average scores of the first grade secondary students (the research group) in the tribal and remote indices to test the skill of discovering relationships and patterns in favor of the post-application.
4. There is a statistically significant difference between the average scores of the first grade secondary students (the research group) in the tribal and remote measurements to test the skill of evaluating the information for the benefit of the post-application.
5. There is a statistically significant difference between the average scores of the first grade secondary students (the research group) in the tribal and remote indices to test the information processing skills as a whole (application - interpretation - discovery of relations and patterns - evaluation of information) for the benefit of the post application.
6. There is a statistically significant difference between the average scores of the first grade secondary students (the research group) in the tribal and remote indices of the trend towards mathematics in favor of the post-application.
Research Methodology.
In the light of the nature of the research, the semi-experimental approach was used in the design of a single group, through the application of tribal research tools to the students of the first secondary grade, then teaching the program to them, then re-applying the research tools to them and then processing the results statistically for discussion and interpretation.
Research tools and educational materials.
The following tools are designed:
• Test the processing of information in the skills (application - interpretation - the discovery of relationships and patterns - evaluation of information) program fractal architecture.
• Measure students’ attitudes toward mathematics.
Educational materials have been designed following :
• Program in fractal geometry based on the 4MAT system.
• Teacher’s Guide to teaching the program.
Procedural steps to search.
To answer the research questions, follow the following procedures:
1. View the literature, studies and previous research in the field of:
- Fractal geometry to identify the nature of subjects and activities that can be contained in the program.
- 4MAT system.
- Information processing skills, trend towards mathematics.
2. Determine the general objectives of the program in fractal geometry.
3. Description of the program in fractal geometry through the formulation of each of the topics identified in the form of lessons and determine the objectives of each lesson and its scientific content and strategies taught in light of the 4MAT system.
4. Preparation and planning of the scientific content of the program in light of the 4MAT system in the form of a book (student book) that includes the lessons of the program and its contents of scientific material and activities related to fractal geometry.
5. Preparation of the teaching manual for the implementation of the program to guide the teaching of the student book in the light of the format system.
6. Presentation of the program (student’s book and teaching manual) to a group of gentlemen arbitrators, in order to express their views on them and verify their validity.
7. Modifying the program and reaching its final image, to be ready for implementation.
8. Build research tools (test information processing skills, and a measure of direction towards mathematics) and presented to a group of gentlemen of the arbitrators to control and verify the sincerity and stability.
9. Selection of the research group of students in the first year of secondary school in a secondary school in Beni Suef governorate.
10. The tribal application of the research tools (testing the information processing skills of the fractal geometry program - the trend scale towards mathematics) on the research group.
11. Apply the program to the search group.
12. Remote application of my tools Search on the search group.
13. Data processing statistically.
14. Quantitative and qualitative analysis of the results, their interpretation, and test hypotheses.
Search Results:
Came in the number of results; of which the most important are:
1. There is a statistically significant difference between the intermediate scores of the first grade secondary students (the research group) in the tribal and remote indices to test the skill of application in favor of the post-application.
2. There is a statistically significant difference between the average scores of the first grade secondary students (the research group) in the tribal and remote indices to test the interpretation skill in favor of the post-application.
3. There is a statistically significant difference between the intermediate grades of the first grade secondary students (the research group) in the tribal and remote measurements to test the skill of discovering relationships and patterns in favor of the post-application.
4. There is a statistically significant difference between the average scores of the first grade secondary students (the research group) in the tribal and remote measurements to test the skill of evaluating the information for the benefit of the post application.
5. There is a statistically significant difference between the average scores of the first grade secondary students (the research group) in the tribal and remote indices to test the information processing skills as a whole (application - interpretation - discovery of relations and patterns - assessment of information) for the benefit of the post application.
6. There is a statistically significant difference between the average scores of the first grade secondary students (the research group) in the tribal and remote measures of the measure of the trend toward mathematics in favor of the post-application.
7. Effectiveness of a program in fractal geometry based on the 4MAT system in developing the skills of processing the mathematical information in the students of the experimental group.
Recommendations of the research.
In light of the findings of the research results can provide some of the following recommendations:
1. The need to include fractal geometry topics in mathematics courses for students in all educational stages.
2. Introduce teachers in service with modern mathematics in general and fractal geometry in particular as an example, and train them on how to present them in the form of enrichment programs or enrichment activities for students.
3. Integrating fractal geometry as an enriching topic in the course of mathematics teaching methods for teacher students to introduce them to fractal geometry as a new geometry that reflects the development of mathematics.
4. Link school mathematics topics to the environment surrounding the learner such as nature, art and others.
5. Curriculum planning in a manner that takes into account individual differences between the learners and their different learning styles.
6. Interested in including in the teacher’s guide to the mathematics prepared by the ministry models for how to plan and teach some lessons using the format system to develop information processing skills.
7. On-the-job training of teachers in the use of the 4MAT system as a planning and education system.
8. Include student preparation programs using the 4MAT system as a planning and education system that takes into account individual differences between learners and their different learning styles.
9. Include mathematics courses in various stages of education activities and problems of mathematics that challenge the thinking of students and contribute to the development of information processing skills.
10. Include programs and courses for the preparation of mathematics teachers information processing skills and development tools and strategies and the foundations and tools for evaluation.
The proposed research.
In light of the findings of the research results of the researcher suggests the following research:
1. Conduct a similar study on primary and preparatory students.
2. Effectiveness of a program in fractal geometry based on the 4MAT system in developing mathematical thinking skills among high school students.
3. Effectiveness of a program in fractal geometry based on the 4MAT system in developing creative thinking skills among high school students.
4. Effectiveness of a program in fractal geometry based on the 4MAT system in developing the thinking skills of high school students.
5. Development of engineering curriculum for the first grade secondary in the light of fractal geometry.
6. Effectiveness of an enrichment program in the fractal geometry of mathematics teachers in service and their attitudes towards them.
7. Effect of teaching alone is proposed in fractal geometry to develop the creative teaching skills of student teachers.
8. Effectiveness of the 4MAT system in developing mathematical communication among high school students.
9. Effectiveness of using 4MAT system in the development of academic achievement and reduction of mathematical anxiety among high school students.
10. Effectiveness of using Format system in developing critical thinking and ability to solve problems in mathematics among high school students.
11. Effectiveness of using 4MAT system in the development of thinking among high school students.
12. Effectiveness of using Format system in developing information processing skills among students with difficulties in learning mathematics in the preparatory stage.