Barriers to Effective Prevocational education implementation in Jordanian Schools as Perceived by Teachers

The main goal of this qualitative study was to explore perceptions and opinions of a group of in-service Prevocational Education (PVE) teachers to derive barriers to effective PVE implementation at the middle basic stage in Jordanian schools. The population and sample (n=35 of the study consisted of all teachers responsible for the delivery of PVE at the middle basic stage of the "North Mazar" educational directorate in the northern region in Jordan. The population and sample of the study were conveniently selected. The instrument used in this study was an interview schedule and technique used in analyzing data obtained from open-ended face-to-face interviews was that suggested by Merriam (2009) regarding qualitative data. Frequencies, percentages in addition to examples of sample quotes representing teachers' responses were provided. The results revealed that PVE lack attractiveness for pupils, parents, teachers, and principals and consequently they hold negative attitudes towards this practical provision. The results revealed four categories of barriers: (1), Barriers pertaining to perceptions and attitudes (2) barriers pertaining to economic factors, (3) barriers pertaining to administrative factors, (4) Barriers pertaining to human factors. Discussions of such barriers were provided, and concluding reflections and recommendations were presented

The Effectiveness of Using Strategy of Instructional Scaffolding in Teaching Mathematics to Improve Mathematical Power among First Year Secondary Students in Jordan فاعلية توظيف إستراتيجية السقالات التعليمية في تدريس الرياضيات في تحسين القوة الرياضية لدى طلبة الصف الأول الثانوي في الأردن

Abstract: The aim of the study was to identify the effectiveness of employing the strategy of instructional scaffolding in teaching mathematics to improve mathematical power among secondary first grade students in Jordan. To achieve the goals of the study, the content of the Functions unit from the mathematics book for the first secondary class was analyzed to build a test in mathematical power with its three operations (Mathematical Communication, Mathematical Connection, Mathematical Reasoning). Its validity and reliability were verified. The sample of study consisted of (44) students, distributed equally among the experimental and control groups. The results of the study showed that there were statistically significant differences between the means of the performance of students of the experimental and control groups on each operation of mathematical power individually and on the the total mathematical power test attributed to the the teaching method variable and in favor of the experimental group. In light of the results of the study, the researchers recommended the necessity of employing the strategy of instructional scaffolding in teaching mathematics to secondary first year students. ملخص: هدفت الدراسة التعرف إلى فاعلية توظيف إستراتيجية السقالات التعليمية في تدريس الرياضيات في تحسين القوة الرياضية لدى طلبة الصف الأول الثانوي في الأردن, ولتحقيق أهداف الدّراسة, تم تحليل محتوى وحدة الإقترانات من كتاب الرياضيات للصف الأول الثانوي وبناء اختبار في القوة الرياضية بعملياتها الثلاث (التواصل الرياضي, الترابط الرياضي, الإستدلال الرياضي), تم التحقق من صدقه وثباته. تكونت عينة الدراسة من (44) طالبا وزعوا بالتساوي على مجموعتي الدراسة التجريبية والضابطة. أظهرت نتائج الدراسة وجود فروق ذات دلالة إحصائية بين المتوسطات الحسابية لأداء طلبة المجموعتين التجريبية والضابطة على كل عملية من عمليات القوة الرياضية منفردة وعلى اختبار القوة الرياضية الكلي تعزى لطريقة التدريس ولصالح المجموعة التجريبية. وفي ضوء نتائج الدراسة, يوصي الباحثون بضرورة توظيف إستراتيجية السقالات التعليمية في تدريس الرياضيات لطلبة الصف الأول الثانوي

The Effect of Using the Model of Creative Problem Solving in Mathematics in Improving Habits of Mind among Ninth Grade Student أثر استخدام أُنموذج الحل الإبداعي للمشكلات الرياضية في تحسين عادات العقل لدى طلبة الصف التاسع الأساسي

Abstract: This study aimed to reveal the effect of using the model of creative problem solving in mathematics in improving habits of mind among ninth grade students. To achieve the objectives of the study, a test was prepared on the habits of mind. The sample was (60) female students distributed equally into two experimental and control groups before and after the experiment utilizing quasi-experimental approach. The results of the study showed that there were statistically significant differences in the means of students\u27 grades in the habits of mind test in the experimental and control groups attributed the method of teaching in favor of the experimental group who were taught using the model of creative problem solving. In light of the results obtained, recommendations relating to the use of the creative problem-solving model in mathematics teaching were recommended. ملخص: هدفت الدراسة الحالية الى الكشف عن أثر استخدام أُنموذج الحل الإبداعي للمشكلات الرياضية والعلمية في تحسين عادات العقل لدى طلبة الصف التاسع الاساسي. ولتحقيق أهداف الدراسة قام الباحثون ببناء اختبار في عادات العقل (التفكير بمرونة والتفكير ما وراء المعرفي). وبعد التحقق من صدق الاختبار وثباته, تم تطبيقه قبل التجربة وبعدها على عينة مكونة من (60) طالبًة من طالبات الصف التاسع الاساسي تم اختيارهن بالطريقة المتيسرة وتوزيعهن بالتساوي الى مجموعتين, تجريبية، وضابطة باستخدام المنهج شبه التجريبي. أظهرت نتائج الدراسة وجود فروق دالة احصائيا بين المتوسطات الحسابية لدرجات طالبات المجموعة التجريبية والضابطة في اختبار عادات العقل (التفكير بمرونة والتفكير ما وراء المعرفي) تعزى لطريقة التدريس ولصالح طالبات المجموعة التجريبية اللواتي تم تدريسهن باستخدام أُنموذج الحل الإبداعي للمشكلات. وفي ضوء نتائج الدراسة، تمت التوصية باستخدام أُنموذج الحل الإبداعي للمشكلات في تدريس الرياضيات

Fractional comparative analysis of Camassa-Holm and Degasperis-Procesi equations

This paper focuses on novel approaches to finding solitary wave (SW) solutions for the modified Degasperis-Procesi and fractionally modified Camassa-Holm equations. The study presents two innovative methodologies: the Yang transformation decomposition technique and the homotopy perturbation transformation method. These methods use the Caputo sense fractional order derivative, the Yang transformation, the adomian decomposition technique, and the homotopy perturbation method. The inquiry effectively solves the fractional Camassa-Holm and Degasperis-Procesi equations, which also provides a detailed numerical and graphical comparison of the solutions found. The results, which include accurate solutions, derived solutions, and absolute error displayed in tabular style, demonstrate the effectiveness of the suggested procedures. These procedures are iterative, which results in several answers. The estimated absolute error attests to the correctness and simplicity of these solutions. Especially in plasma physics, these approaches may be expanded to handle various linear and nonlinear physical issues, including the evolution equations controlling nonlinear waves

Numerical analysis of fractional heat transfer and porous media equations within Caputo-Fabrizio operator

This paper presents a comparative study of two popular analytical methods, namely the Homotopy Perturbation Transform Method (HPTM) and the Adomian Decomposition Transform Method (ADTM), to solve two important fractional partial differential equations, namely the fractional heat transfer and porous media equations. The HPTM uses a perturbation approach to construct an approximate solution, while the ADTM decomposes the solution into a series of functions using the Adomian polynomials. The results obtained by the HPTM and ADTM are compared with the exact solutions, and the performance of both methods is evaluated in terms of accuracy and convergence rate. The numerical results show that both methods are efficient in solving the fractional heat transfer and porous media equations, and the HPTM exhibits slightly better accuracy and convergence rate than the ADTM. Overall, the study provides a valuable insight into the application of the HPTM and ADTM in solving fractional differential equations and highlights their potential for solving complex mathematical models in physics and engineering

Unification of Adomian decomposition method and ZZ transformation for exploring the dynamics of fractional Kersten-Krasil'shchik coupled KdV-mKdV systems

This paper presents a novel approach for exploring the dynamics of fractional Kersten-Krasil'shchik coupled KdV-mKdV systems by using the unification of the Adomian decomposition method and ZZ transformation. The suggested method combines the Aboodh transform and the Adomian decomposition method, both of which are trustworthy and efficient mathematical tools for solving fractional differential equations (FDEs). This method's theoretical analysis is addressed for nonlinear FDE systems. To find exact solutions to the equations, the method is applied to fractional Kersten-Krasil'shchik linked KdV-mKdV systems. The results show that the suggested method is efficient and practical for solving fractional Kersten-Krasil'shchik linked KdV-mKdV systems and that it may be applied to other nonlinear FDEs. The suggested method has the potential to provide new insights into the behavior of nonlinear waves in fluid and plasma environments, as well as the development of new mathematical tools for modeling and studying complicated wave phenomena

The importance of effective learning technology utilization, teacher leadership, student engagement, and curriculum in the online learning environment

Research has shown the effect of student engagement, teacher leadership, and curriculum on the effectiveness of the use of learning technologies and the online learning environment. The study included a total of 382 samples that included both teachers and students. Survey respondents are qualified teachers with at least 10 years of teaching experience, as determined through sampling. Participants responded to a study questionnaire that was used to collect data. Data were collected using Smart PLS software, which included validity and reliability assessments and hypothesis tests. The results of the study indicated that the dissemination of learning technology is directly affected by teacher leadership and student participation, which affects its effectiveness. Instructor leadership, student engagement, and successful use of learning technologies directly impact the online learning environment. The use of learning technology is influenced by teacher leadership, curriculum, and student engagement, which ultimately impacts the online learning environment. This study suggests two main results. To enhance the efficiency of learning technology deployment, the focus of public policy should be on enhancing teacher leadership and student performance. Moreover, enhancing the efficient use of learning technology is a critical policy goal to improve the quality of the online learning environment. Students and teachers with enhanced skills should collaborate to share their technological learning materials and management practices to improve students' online learning experiences. Subsequently, modifications were made to the curriculum and there was an increase in teacher leadership

The Degree of Empowering Educational Counselors by School Administration in the Northern Area at the Green Line, and its Relation with Their Job Performance درجة تمكين الإدارة المدرسيّة للمستشارين التّربويّين في منطقة الشّمال داخل الخط الأخضر وعلاقته بأدائهم الوظيفيّ

Abstract: The current study aimed to identify the degree of school administration empowerment of the educational consultants as well as to indicate the extent of its reflection on their job performance in the northern region within the Green Line. It also demonstrates and promotes the correlation between the degree of the educational consultants’ empowerment and the level of the educational counselors\u27 performance with the governmental school counselors in the northern region within the line. The study implements the relational-survey descriptive approach, using the questionnaire to achieve the study objectives. This sample includes all members of the study community, principals and consultants, with (170) respondents, comprising 115 counsellors, and (55) school principals. The results showed that the degree of school administration empowerment of educational consultants from the point of view of the principals and educational counselors were high. Besides, the results also showed that the level of the performance of the educational counselors from the members’ perspective of the study were high too. Statistically, there was a significant correlation (a\u3c0.05) between the administrative empowerment and authorization to the educational counselors in their job performance. ملخص: هدفت الدّراسة الحاليّة التعرف إلى درجة تمكين الإدارة المدرسيّة للمستشارين التّربويّين في منطقة الشّمال داخل الخطّ الأخضر، كذلك التعرف إلى مستوى الأداء الوظيفيّ لدى المستشارين التربويين، وبيان العلاقة الارتباطيّة بين درجة تمكين الإدارة المدرسيّة للمستشارين التّربويّين ومستوى الأداء الوظيفيّ لدى مستشاري المدارس الحكوميّة. استخدمت الدراسة المنهج الوصفيّ الارتباطي، باستخدام الاستبانة لتحقيق أهداف الدراسة، تم اختيار عينة الدراسة بالطريقة الطبقية القصدية؛ فقد اشتملت العينة على جميع أفراد مجتمع الدراسة من المديرين والمستشارين والبالغ عددهم (170) مستجيباً من بينهم 115 مستشارا، و55 مدير مدرسة شملت مختلف مراحل التعليم (ابتدائي، إعدادي وثانوي). أظهرت النتائج أن درجة تمكين الإدارة المدرسيّة للمستشارين التّربويّين من وجهة نظر المديرين والمستشارين التّربويّين جاءت بدرجة كبيرة، كما أظهرت النتائج أن مستوى الأداء الوظيفيّ للمستشارين التّربويّين من وجهة نظر أفراد عينة الدراسة كانت بدرجة كبيرة، وأظهرت النتائج أيضاً وجود علاقة ارتباطيّة ذات دلالة إحصائيّة عند مستوى الدلالة (a\u3c0.05) بين درجة تمكين الإدارة المدرسيّة للمستشارين التّربويّين والأداء الوظيفي من وجهة نظرهم

Some Sharp Results on Coefficient Estimate Problems for Four-Leaf-Type Bounded Turning Functions

In this study, we focused on a subclass of bounded turning functions that are linked with a four-leaf-type domain. The primary goal of this study is to explore the limits of the first four initial coefficients, the Fekete-Szegö type inequality, the Zalcman inequality, the Kruskal inequality, and the estimation of the second-order Hankel determinant for functions in this class. All of the obtained findings have been sharp

The Sharp Upper Bounds of the Hankel Determinant on Logarithmic Coefficients for Certain Analytic Functions Connected with Eight-Shaped Domains

The present study’s intention is to produce exact estimations of some problems involving logarithmic coefficients for functions belonging to the considered subcollection BTsin of the bounded turning class. Furthermore, for the class BTsin, we look into the accurate bounds of the Zalcman inequality, Fekete-Szegö inequality along with D2,1Gg/2 and D2,2Gg/2. Importantly, all of these bounds are shown to be sharp