A generalization of Student’s t-distribution from the viewpoint of special functions

Student’s t-distribution has found various applications in mathematical statistics. One of the main properties of the t-distribution is to converge to the normal distribution as the number of samples tends to infinity. In this paper, by using a Cauchy integral we introduce a generalization of the t-distribution function with four free parameters and show that it converges to the normal distribution again. We provide a comprehensive treatment of mathematical properties of this new distribution. Moreover, since the Fisher F-distribution has a close relationship with the t-distribution, we also introduce a generalization of the F-distribution and prove that it converges to the chi-square distribution as the number of samples tends to infinity. Finally some particular sub-cases of these distributions are considered.

Meeting the needs of disafected students : engaging students with social, emotional and behavioural difficulties.

Recurso que ofrece actividades para involucrar a los estudiantes desmotivados y asegurar que tengan éxito en su experiencia de aprendizaje, independientemente de sus necesidades particulares. A través de una variedad de enfoques y técnicas, incluida la alfabetización emocional, ofrece estrategias de apoyo y da ejemplos prácticos de cómo estimular e involucrar a estos estudiantes en la gestión de su comportamiento y su aprendizaje. Describe las causas del absentismo escolar y expone una serie de síndromes y trastornos que pueden dar lugar a la aversión a la escuela.

Special educational needs : a parent's guide.

Esta guía proporciona una somera visión de la diversidad de las necesidades educativas especiales más comunes. Contiene información y asesoramiento para que profesores y padres puedan tener las estrategias necesarias para utilizar con los niños en la vida cotidiana, cómo manejar en la escuela y en el hogar comportamientos difíciles, qué hacer o adónde ir para obtener más información y para obtener la mejor educación del niño según sus necesidades especiales.

Meeting the needs of students with diverse backgrounds.

Se basa en estudio de casos de personas que relatan su historia para hacer frente a la diversidad en las escuelas hoy, para revelar los sentimientos y las actitudes que deben ser escuchados si se quiere desarrollar una sociedad inclusiva. Ofrece sugerencias prácticas para lograr la diversidad social y cultural en las escuelas. Ayudará a los profesores a asegurarse de que todos los estudiantes tengan éxito en su experiencia de aprendizaje, independientemente de sus necesidades particulares. Se centra en las situaciones reales que los profesionales se encuentran a diario, tales como la cultura y la religión y el inglés como segundo idioma.

Meeting the needs of students with dyslexia.

Este recurso permitirá a los maestros hacerse una idea de los efectos de la dislexia en la adquisición de la lectura y escritura, la aritmética y las habilidades de comunicación verbal, y les ayudará a desarrollar toda clase de estrategias para dar cabida a las diferencias individuales de los alumnos para un aprendizaje con éxito.

Meeting the needs of gifted and talented students.

Recurso para todos los que tienen la responsabilidad de las clases que tienen estudiantes dotados y talentosos, tanto len la escuela primaria como en la secundaria. Facilita estrategias para la identificación de estos alumnos y satisfacer sus necesidades sociales, emocionales y educativas. Se hace especial hincapié en aquellos estudiantes cuyo potencial puede estar encubierto por la falta de oportunidades, las diferencias culturales o las necesidades adicionales. Tiene estudios de casos y el papel de las TIC para enriquecer y ampliar el aprendizaje de estos estudiantes.

Special educational needs in practice.

Este recurso ha sido revisado para tener en cuenta a todos los profesionales que trabajan con niños con necesidades especiales. Trata la función y responsabilidad de la SENCO (Special Educational Needs Code of Practice), establece sus procedimientos y propone numerosas estrategias para todos los que trabajan en este campo. Incluye cómo apoyar mejor a los niños en diferentes condiciones, la forma de desarrollar y gestionar la política de necesidades educativas especiales en línea con los requisitos del gobierno y cómo utilizar los recursos y el apoyo disponible; así como, también una sección de terapias para presentar nuevas ideas y conceptos que promuevan la relajación, la creatividad, la concentración y la imaginación a través del ejercicio, el tacto, el sonido y la experiencia.

Recovering potential: factors associated with success in engaging challenging students with alternative pre-16 provision

The study focuses on a group of young people for whom conventional school placements had broken down and were attending vocational courses at an FE college while still of compulsory school age. The students had been excluded by, or had failed to attend, their schools or had achieved at very low levels in the academic curriculum. Over half successfully completed the vocational course at college. Many factors conventionally regarded as predictors for poor educational outcomes were not associated with completion and non-completion. For example, students who had been excluded, who had statements of special educational needs and had been involved with the criminal justice system were as likely to complete their courses as other students. However, students who had very poor attendance records at school also tended to drop out of college. The results suggest that the increased flexibility, guidance and elements of work-related learning promised in current 14 - 19 developments may help meet the needs of this group of students.

Special educational needs across two decades: survey evidence from English primary schools

The article considers the perceived prevalence of special educational needs in English primary schools and changes in this prevalence over two decades and relates these to issues in education policy, teacher practice and the concept of special educational needs. The studies considered are two major surveys of schools and teachers, the first conducted in 1981 and the second conducted in the same schools in 1998. Important features of both studies were their scale and the exceptionally high response rates achieved. Two central findings were the perception of teachers that special educational needs were widespread and of an increase in special educational needs over time: perceived levels of special educational needs were one in five children in 1981, which had risen to one in four children in 1998. Learning difficulties were by far the most common aspects of special educational needs but many children had multiple difficulties, and behavioural difficulties were seen by teachers as the main barriers to inclusion. The very high figures for prevalence raise questions about the continued usefulness of the concept of special educational need distinct from broader issues of achievement.

Children with Special Educational Needs as film makers: Using digital video to support Understandings of Narrative

The literature has identified issues around transitions among phases for all pupils (Cocklin, 1999) including pupils with special educational needs (SEN) (Morgan 1999, Maras and Aveling 2006). These issues include pupils’ uncertainties and worries about building size and spatial orientation, exposure to a range of teaching styles, relationships with peers and older pupils as well as parents’ difficulties in establishing effective communications with prospective secondary schools. Research has also identified that interventions to facilitate these educational transitions should consider managerial support, social and personal familiarisation with the new setting as well as personalised learning strategies (BECTA 2004). However, the role that digital technologies can play in supporting these strategies or facilitating the role of the professionals such as SENCos and heads of departments involved in supporting effective transitions for pupils with SEN has not been widely discussed. Uses of ICT include passing references of student-produced media presentations (Higgins 1993) and use of photographs of activities attached to a timetable to support familiarisation with the secondary curriculum for pupils with autism (Cumine et al. 1998).