الفهرس 
لإطار العام لمبحثيوجد فقط 14 صفحة متاحة للعرض العام
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المستخلص
The current era is witnessing fast development in various fields and in almost fields. the development is represented in the exponential increase of knowledge used in combination with technological innovations ، that leads to work to keep pace with this development and scientific advances as the progress of any State is measured by its capacity to develop and invest scientific minds and to provide the appropriate atmosphere to achieve the greatest benefit from those enlightened minds in the community-building and development. Gauss said that mathematics is the queen and servant of science. Both Patricia and James emphasizes said that mathematics is the key material for the training of students of the discovery of problem solving science، technology and decision-making.
The educational process is considered as the need of the necessities of life، known by which man knows himself، and discover his world، which he lives in. So for every nation that seeks to carve out a prominent place among nations، the educational process has paid great attention to various aspects، from which they can build a generation that is represented in culture، then gradually adjustment with the data of modern technology.
This age is the age of scientific; and technological revolution، the age of information and knowledge explosion. This has been reflected on the new various technique applications، which represent a prominent feature of today’s life. One of our most important plans is probably how to use of these applications.
In the Arabic world، researchers: have paid attention to these applications ، especially after the great progress achieved in the teaching and learning field in all disciplines ، in addition to the emergence of modern shills ، techniques and application in corporate into the life of modem communities. That is why we need to develop learning and teaching methods to create an autonomous learner who knows how to Handel the modern technological device and cope with age.
Still the development of mathematics curriculum of the main headlines in seminars and conferences on the development of education ، the mathematics curriculum and methods taught in the current image are no longer meet many of the contemporary requirements in various areas of knowledge.
from the other hand، the human mind is unable to cope with everything new in our contemporary world and thus. The greatest aim of education is to develop thinking so as to prepare a person who is capable of thinking properly to adjust to the future changes in different life situations -consequently، developing thinking skills in our schools today is a necessity for addressing the explosion of Knowledge.
It was recommended in the Conference of the Mathematics Education for pre-university stage the need to streamline and shorten the presentation of geometry، and the adoption of portlets that work on the interrelationship between different branches of mathematics and stress the development of teaching methods، and increase the efficiency of the educational process in classrooms.
National Conference also recommended the development of education in Egypt that should be development of elements of the process and taking the modern scientific developments، with emphasis on methods that result in the student ability to discovery and innovation، modernization، and not just memorization.
Since improving the scientific thinking and its various types is a main aim of teaching Mathematics، dynamic geometry software may provide a context that may improve Making mathematical knowledge and its applications. This can be an achieved through learning activities، autonomy، motivation and the interaction between teachers، learners and teachers and learners، and giving learners the chance to express themselves.
The problem of the research:
The problem of the current research can be determined by the following main question:
* The Effectiveness of teaching transformation geometry by using geometer’s sketch pad GSP making the mathematical knowledge and its applications for the 1st prep year students?
In order to answer this main question، the following sub question should also be answered:
* What is the transformation geometry applications required to development?
* What software used in dynamic geometer’s sketch pad GSP interactive unit، which can develop by it the previous applications?
* What is the unit proposed for the teaching of engineering dynamic geometer’s sketch pad GSP interactive in the development of making mathematical knowledge and its applications?
* What is the effectiveness of the proposed unit by using engineering dynamic interactive software in the development of making mathematical knowledge and its applications in students of different achievement levels?
Hypotheses
1- No statistically significant differences between the average scores students the experimental group and control group in the test grades، which allows the discovery of generalizations in transfers geometry to build mathematical knowledge for the benefit of students of the experimental group.
2- No statistically significant differences between the grades average of the students’ experimental group and control group in applications test in the Fields of math and life for the benefit of students of the experimental group.
Frontiers of research:
Committed researcher in this research the following restrictions:
1- Mathematic book which will be studied for a grade first preparatory second edition (2010-2011)، in Cairo.
2- sample of students from two chapters of the chapters of the first grade of preparatory school Nabil Stoker prep for the girls of the Department of Educational Excursion in Cairo، is one of the chapters of the control group، and represents the second chapter the experimental group، and each chapter will be divided into three categories of different learning (low achievement - middle achievement - high achievement) to study transfers geometry them.
3- Some software engineering dynamic interactive.
4- Measuring the effectiveness of teaching units in the transfer’s geometry using dynamic interactive software engineering in the development of skills and making mathematical knowledge and its applications.
Research variables can be classified as follows:
First: the independent variables، namely:
- Teaching transformation geometry by using geometer’s sketch pad GSP for the 1st prep year students with the interactive software dynamic engineering.
Second: The dependent variables، namely:
- Student achievement in transfer’s geometry.
- The students used the interactive software dynamic engineering GSP.
- The skills of using GSP in making mathematical knowledge and their applications، which is the Survey of skills applicable explained that it needs to be developed.
Research methodology
The objective of the study is to reveal the effectiveness of the teaching of transfers geometry with the interactive software dynamic engineering in the development of making mathematical knowledge and its applications، the researcher used: experimental approach: this will be the experience of the study to detect the impact of the effectiveness of the program، through the officer group and the pilot group.
Research Procedures:
First: The theoretical part:
• Brief history about emergence of transformation geometry.
• Investigating research and previous studies related to teaching transformation geometry.
• Brief history about emergence of Interactive Dynamic Geometric Software (Geometer s Sketchpad ”GSP”(
• Investigating relevant modern trends and global researches to develop student Mathematical Knowledge-Making.
• Conducting teacher questionnaires to define the steps of Mathematical Knowledge-Making that needs to be developed for students at this stage.
Second: Identifying the Transfers geometry Applications that need to be developed through:
• Investigating literature related to transfers geometry applications in mathematics and in other areas.
• Investigating relevant modern trends and global researches to develop student Mathematical Knowledge-Making and its applications.
• Investigating some kinds of modern geometries that are going to be linked to transfers geometry.
Third: Identifying the Interactive Dynamic Geometric Software Utilized in the Unit through:
• Investigating Modern Interactive Dynamic Geometric Software ”GSP”.
• Conducting questionnaires on some workers in this field in order to identify the most proper of them.
Fourth: Building the Unit Through:
• Identifying unit objectives.
• Organizing the content to serve the preset objectives.
• Identifying methodologies utilized in the unit.
• Identifying the proper teaching aids (GSP) for achieving objectives.
• Identifying evaluation methods and styles assisting in achieving objectives.
Fifth: Preparing Research Instruments through:
• Test allows the discovery of generalizations in geometry in the analytical units that will be studied.
• Conducting an application test.
• Test the skills to use Geometer s Sketchpad ”GSP”.
• Presenting the unit and research instruments to a group of experts and arbitrators in order to perform the necessary amendments.
Sixth: Conducting Research Experiment through:
• Testing research subjects composed of first preparatory students and dividing them into two groups، a control group and an experimental one.
• Conducting achievement pre-test on the two research groups.
• Conducting application pre-test on the two research groups.
• Conducting skills pre-test on the two research groups.
• Conducting achievement post-test on the two research groups.
• Conducting application post-test on the two research groups.
• Conducting skills post-test on the two research groups.
• Performing statistical analysis on findings.
• Interpreting and discussing research findings.
• Drawing conclusions and suggestions.
The research terminologies:
Software:
Educational materials are those that are designed and programmed by computer to be Curriculums.
Engineering Interactive Dynamic:
Dynamic interaction is the new form of the symbolic forms and dynamics of languages، kind of the Engineering Interactive Dynamic is GSP software which was define in this research that the designed educational unit، and include a lot of experiences and activities related and methods based on interactive software dynamic engineering in the development of making mathematical knowledge and its applications.