In this paper, the homotopy perturbation method (HPM) is presented for treating a linear system of second-kind mixed Volterra-Fredholm integral equations. The method is based on constructing the series whose summation is the solution of the considered system. Convergence of constructed series is discussed and its proof is given; also, the error estimation is obtained. Algorithm is suggested and applied on several examples and the results are computed by using MATLAB (R2015a). To show the accuracy of the results and the effectiveness of the method, the approximate solutions of some examples are compared with the exact solution by computing the absolute errors.

Chapter One – introduction

Nations managed today to achieve progress in the field of modern technology. Science has changed many beliefs and trendiness that people have held for long time, skills and scientific thinking developed, and made scientific observation  and experiment replace narration and taking from others. That is attributed to examining  the educational systems searching for the locations of defect, and shortage.

In the light of educational modernizations, many models of teaching incliuding a model for social tracing attributed to Herbart Thelen, which is a model to develop skills of social participation in the democratic process (Al-Khawalda,1993,335).

The purpose of this research is to demonstrate the effectiveness of a program to address the problem of mixing similar letters in the Arabic language for students in the second grade of primary and to achieve the goal of the research. The researcher followed the experimental method to suit the nature of this research and found that there are statistically significant differences between the tribal and remote tests, The effectiveness of the proposed educational program. At the end of the research, the researcher recommends several recommendations, the most important of which are: 1 - Training students to correct pronunciation of the outlets, especially in the first three stages of primary education (primary) and the use of direct training

ترك السلطان عبدالحميد الثاني بصماتهُ على أخاديد الزمان وعلى خارطة المشرق العربي الخاضع للسيطرة العثمانية أنذاك ، لكونهُ أهم شخصية أسلامية غير عربية واجهت الخطر الصهيوني ومحاولاتهم الإستيطانية في مشرق الوطن العربي ، على الرغم من صعوبة الظروف التي كانت تمر بها الدولة العثمانية داخليا ً وخارجيا ً، بما فيها من أطماع اقتسامها بين الاوربين ولذا سموها بالرجل المريض .

    The world witnessed variables influenced on entirely education essential mean  to grantee the required adaption  of  inner  and external motivations circumstances   this gives us opportunity of  the best selection means to achieve the goals  for progress individual and community  .                        

 From here appeared the needs of  scientific study  interest in  new styles of education locate the old place that  become non able to  granting  students  and their tendency  n

Problem of research as defined, including the following:what is impact organizing of configuration for still life in paintings of students in the Department of Art Education in subject of colors ?Study of well training for organized in painting of still life is necessary for a teacher of art education to contribute effectively to the performance of his letter, so is this research in response to the public goals for a subject of art education. The current research aims to:1. Impact organization of configuration for still life in paintings of students in the Department of Art Education for the first grade in subject of colors2. Role organization of configuration for still life in the painting to serve the educational process in subject of

هدفت الدراسة الحالية إلى ( معرفة اثر استراتيجية مقترحة وفقا لنظرية الرياضيات الواقعية في التحصيل والترابط الرياضي لدى طالبات الصف الثالث المتوسط)، تم اختيار مجموعتين من صف الثالث المتوسط في مدرسة تابعة للمديرية العامة لتربية بغداد- الرصافة الاولى للعام الدراسي(2022-2021) تمثل المجموعة التجريبية والتي تدرس على وفق الاستراتيجية المقترحة وبلغ عدد طالباتها(30)، والمجموعة الضابطة التي تدرس بالطريقة الاعتيادية وبلغ

The reality of teaching the Arabic language rules is not satisfactory, as the pedagogical methods used do not help students develop their mental skills, especially critical thinking skills. They are often traditional in terms of teaching students, who are passive, passive, often passive, active, and often active, their listening task, and the teacher's task of narrating facts and judgments. It is a blind simulation student, a dependency on others, and a weak spirit of creativity, innovation, and opinion. The opinions of educators and teachers almost agree on the reasons for students' weakness in learning the rules of Arabic, and that the reason lies in the way of teaching. The difficulty or the ease of the rules of Arabic does not lie in th

Abstract

The current research aims to identify the effect of the proposed strategy in accordance with realistic mathematics on the achievement and mathematical Interrelation of third Intermediate students. Two samples were tested from the middle third grade in a school affiliated with the General Directorate of Baghdad- Rusafa, the first for the academic year (2022-2021). The experimental group is (30) students taught according to the proposed strategy, and the control group is (30) students based on the traditional method. To achieve the research objective, the researchers developed a test for achievement consisting of (30) items and a test of sports interconnection composed of (20) items. The results of the stu

أفرزت الظروف الاقتصادية والاجتماعية التي عانى منها الاقتصاد العراقي العديد من الاثار السلبية وتكريس بيئة من شانها التشجيع على اقامة مشاريع صناعية وخدمية لا تتناسب وتغيرات السوق وتعتمد على آلات ومعدات بسيطة وتشتمل أعمال حرفية يدوية الصنع وبائعي التجزئة ومختلف انواع الورش والمصانع والمعامل غير المرخص لها وغير المجازة قانونا، حيث أنتشار المشروعات بشكل عشوائي غير م