Teaching and learning geometry : issues and methods in mathematical education.

Recurso para la evaluación de la enseñanza y el aprendizaje de la geometría en la enseñanza secundaria desde la perspectiva de los nuevos docentes y de los que tienen más experiencia. Está diseñado para ampliar y profundizar el conocimiento de la materia y ofrecer consejos prácticos e ideas para el aula en el contexto de la práctica y la investigación actual. Hace especial hincapié en: comprender las ideas fundamentales del currículo de geometría; el aprendizaje de la geometría de manera efectiva; la investigación y la práctica actual; las ideas erróneas y los errores; el razonamiento de la geometría; la solución de problemas; el papel de la tecnología en el aprendizaje de la geometría.

The TKT Teaching Knowledge Test. course : CLIL module ( Content and Language Integrate Learning).

El TKT es un examen que se centra en los conocimientos esenciales que requiere todo profesor de inglés como segunda lengua. Evalúa los conocimientos pedagógicos y no las habilidades didácticas. Quienes se preparan para él profundizan sus conocimientos sobre la enseñanza del inglés y mejoran su comprensión de los conceptos relacionados con la lengua y su uso, así como la teoría y la práctica del proceso de enseñanza y aprendizaje. La prueba es adecuada para todos los profesores de Aprendizaje Integrado de Contenidos y Lenguas Extranjeras (AICLE) que trabajan en primaria y secundaria. Cubre las cuatro áreas claves de la prueba: conocimiento y principios de AICLE, preparación de la lección, entrega de la lección y evaluación La prueba también es adecuada para los profesores que trabajan en inglés como segunda lengua (EAL). Es una prueba de ochenta minutos que cuenta con ochenta preguntas. Éstas son una mezcla de distintas opciones verdadero - falso, selección múltiple, etc.

The TKT Teaching Knowledge Test course : training activities CD-ROM.

El TKT es un curso de formación para maestros y alumnos para la 'Prueba de conocimientos de enseñanza' de Cambridge ESOL o diplomas de formación inicial docente. El cd tiene treinta actividades en formato pdf que abordan cada uno de los módulos del curso.

English language teaching and educational reform in Western China: a knowledge management perspective

This study examines the impact of a large-scale UK-based teacher development programme on innovation and change in English language education in Western China within a knowledge management (KM) framework. Questionnaire data were collected from 229 returnee teachers in 15 cohorts. Follow-up interviews and focus groups were conducted with former participants, middle and senior managers, and teachers who had not participated in the UK programme. The results showed evidence of knowledge creation and amplification at individual, group and inter-organizational levels. However, the present study also identified knowledge creation potential through the more effective organization of follow-up at the national level, particularly for the returnee teachers. It is argued that the KM framework might offer a promising alternative to existing models and metaphors of Continuing Professional Development (CPD).

Adapted Physical Education teachers and teaching knowledge

In the 1980's, there was a suggestion of including the Adapted Physical Education discipline in the Physical Education Graduation Course. In this perspective, starting from the Adapted Physical Education teacher's routine, the aim of this research was to verify what these teachers know and how they manage to plan, elaborate and apply their knowledge with their students with educational special needs. It's an exploring study that had in its interview and silabus analisis technics the source of its data. Among its most important results, it showed teaching, experimental and pedagogical knowledge as part of Physical Education and Adapted Physical Education, in the arrangement, building and knowledge apliance.

The Importance of Teaching Students How to Read to Comprehend Mathematical Language

In this action research study of my classroom of 8th and 9th grade Algebra I students, I investigated if there are any benefits for the students in my class to learn how to read, translate, use, and understand the mathematical language found daily in their math lessons. I discovered that daily use and practice of the mathematical language in both written and verbal form, by not only me but by my students as well, improved their understanding of the textbook instructions, increased their vocabulary and also increased their understanding of their math lessons. I also found that my students remembered the mathematical material better with constant use of mathematical language and terms. As a result of this research, I plan to continue stressing the use of mathematical language and vocabulary in my classroom and will try to develop new ways to help students to read, understand, and remember mathematical language they find daily in their textbooks.

Exploring the Influence of Vocabulary Instruction on Students’ Understanding of Mathematical Concepts

In this action research study of my classroom of 8th grade mathematics, I investigated the influence of vocabulary instruction on students’ understanding of the mathematics concepts. I discovered that knowing the meaning of the vocabulary did play a major role in the students’ understanding of the daily lessons and the ability to take tests. Understanding the vocabulary and the concepts allowed the students to be successful on their daily assignments, chapter tests, and standardized achievement tests. I also discovered that using different vocabulary teaching strategies enhanced equity in my classroom among diverse learners. The knowledge of the math vocabulary increased my students’ confidence levels, which in turn increased their daily and test scores. As a result of this research, I plan to find ways to incorporate the vocabulary teaching strategies I have used into current math curriculum. I will start this process at the beginning of the next school year, and will continue looking for new strategies that will promote math vocabulary retention.

Development of Clinical Decision Support Systems based on Mathematical Models of Physiological Systems

In the last years of research, I focused my studies on different physiological problems. Together with my supervisors, I developed/improved different mathematical models in order to create valid tools useful for a better understanding of important clinical issues. The aim of all this work is to develop tools for learning and understanding cardiac and cerebrovascular physiology as well as pathology, generating research questions and developing clinical decision support systems useful for intensive care unit patients. I. ICP-model Designed for Medical Education We developed a comprehensive cerebral blood flow and intracranial pressure model to simulate and study the complex interactions in cerebrovascular dynamics caused by multiple simultaneous alterations, including normal and abnormal functional states of auto-regulation of the brain. Individual published equations (derived from prior animal and human studies) were implemented into a comprehensive simulation program. Included in the normal physiological modelling was: intracranial pressure, cerebral blood flow, blood pressure, and carbon dioxide (CO2) partial pressure. We also added external and pathological perturbations, such as head up position and intracranial haemorrhage. The model performed clinically realistically given inputs of published traumatized patients, and cases encountered by clinicians. The pulsatile nature of the output graphics was easy for clinicians to interpret. The manoeuvres simulated include changes of basic physiological inputs (e.g. blood pressure, central venous pressure, CO2 tension, head up position, and respiratory effects on vascular pressures) as well as pathological inputs (e.g. acute intracranial bleeding, and obstruction of cerebrospinal outflow). Based on the results, we believe the model would be useful to teach complex relationships of brain haemodynamics and study clinical research questions such as the optimal head-up position, the effects of intracranial haemorrhage on cerebral haemodynamics, as well as the best CO2 concentration to reach the optimal compromise between intracranial pressure and perfusion. We believe this model would be useful for both beginners and advanced learners. It could be used by practicing clinicians to model individual patients (entering the effects of needed clinical manipulations, and then running the model to test for optimal combinations of therapeutic manoeuvres). II. A Heterogeneous Cerebrovascular Mathematical Model Cerebrovascular pathologies are extremely complex, due to the multitude of factors acting simultaneously on cerebral haemodynamics. In this work, the mathematical model of cerebral haemodynamics and intracranial pressure dynamics, described in the point I, is extended to account for heterogeneity in cerebral blood flow. The model includes the Circle of Willis, six regional districts independently regulated by autoregulation and CO2 reactivity, distal cortical anastomoses, venous circulation, the cerebrospinal fluid circulation, and the intracranial pressure-volume relationship. Results agree with data in the literature and highlight the existence of a monotonic relationship between transient hyperemic response and the autoregulation gain. During unilateral internal carotid artery stenosis, local blood flow regulation is progressively lost in the ipsilateral territory with the presence of a steal phenomenon, while the anterior communicating artery plays the major role to redistribute the available blood flow. Conversely, distal collateral circulation plays a major role during unilateral occlusion of the middle cerebral artery. In conclusion, the model is able to reproduce several different pathological conditions characterized by heterogeneity in cerebrovascular haemodynamics and can not only explain generalized results in terms of physiological mechanisms involved, but also, by individualizing parameters, may represent a valuable tool to help with difficult clinical decisions. III. Effect of Cushing Response on Systemic Arterial Pressure. During cerebral hypoxic conditions, the sympathetic system causes an increase in arterial pressure (Cushing response), creating a link between the cerebral and the systemic circulation. This work investigates the complex relationships among cerebrovascular dynamics, intracranial pressure, Cushing response, and short-term systemic regulation, during plateau waves, by means of an original mathematical model. The model incorporates the pulsating heart, the pulmonary circulation and the systemic circulation, with an accurate description of the cerebral circulation and the intracranial pressure dynamics (same model as in the first paragraph). Various regulatory mechanisms are included: cerebral autoregulation, local blood flow control by oxygen (O2) and/or CO2 changes, sympathetic and vagal regulation of cardiovascular parameters by several reflex mechanisms (chemoreceptors, lung-stretch receptors, baroreceptors). The Cushing response has been described assuming a dramatic increase in sympathetic activity to vessels during a fall in brain O2 delivery. With this assumption, the model is able to simulate the cardiovascular effects experimentally observed when intracranial pressure is artificially elevated and maintained at constant level (arterial pressure increase and bradicardia). According to the model, these effects arise from the interaction between the Cushing response and the baroreflex response (secondary to arterial pressure increase). Then, patients with severe head injury have been simulated by reducing intracranial compliance and cerebrospinal fluid reabsorption. With these changes, oscillations with plateau waves developed. In these conditions, model results indicate that the Cushing response may have both positive effects, reducing the duration of the plateau phase via an increase in cerebral perfusion pressure, and negative effects, increasing the intracranial pressure plateau level, with a risk of greater compression of the cerebral vessels. This model may be of value to assist clinicians in finding the balance between clinical benefits of the Cushing response and its shortcomings. IV. Comprehensive Cardiopulmonary Simulation Model for the Analysis of Hypercapnic Respiratory Failure We developed a new comprehensive cardiopulmonary model that takes into account the mutual interactions between the cardiovascular and the respiratory systems along with their short-term regulatory mechanisms. The model includes the heart, systemic and pulmonary circulations, lung mechanics, gas exchange and transport equations, and cardio-ventilatory control. Results show good agreement with published patient data in case of normoxic and hyperoxic hypercapnia simulations. In particular, simulations predict a moderate increase in mean systemic arterial pressure and heart rate, with almost no change in cardiac output, paralleled by a relevant increase in minute ventilation, tidal volume and respiratory rate. The model can represent a valid tool for clinical practice and medical research, providing an alternative way to experience-based clinical decisions. In conclusion, models are not only capable of summarizing current knowledge, but also identifying missing knowledge. In the former case they can serve as training aids for teaching the operation of complex systems, especially if the model can be used to demonstrate the outcome of experiments. In the latter case they generate experiments to be performed to gather the missing data.

Family diversity in social exclusion situations. Results and reflections on research, teaching and knowledge transfer activities

The purpose of this paper is to characterize the configurations of the families that live in contexts of social exclusion; provide conceptualizations of their operation mode; highlight the formative effects that neighborhood interdisciplinary practices with such families produce in the just graduated psychologists, included on the Extension Program. We wish to contribute to produce systematic knowledge that can account for such family configurations as potential receiver of integration policies. We are also interested on transferring the approach to diversity in the training of young professionals, in order not to be regarded as a deviation from ideal models, but as an expression of different strategies built by members of a community, to resolve children breeding and to bear their existences. This work is the result about reflections on productions inside a research fellowship: The complexities that takes the breeding in families who lives in a social exclusion situation; researches about breeding, carried out from signature Developmental Psychology II, and from de interdisciplinary work with psychologically assisted families in twelve suburbs of the city of La Plata (University Extension Program "Free Legal Offices" (Convention between Law and Social Sciences and Psychology Faculties, U.N.L.P.). From a qualitative methodology and an interdisciplinary participation, the results have arrive at the characterization and proposed conceptualizations of the included families and at the same time determine the benefits that brings with the work that articulates research and extension activities for the training of advanced students and young graduates.

Family diversity in social exclusion situations. Results and reflections on research, teaching and knowledge transfer activities

The purpose of this paper is to characterize the configurations of the families that live in contexts of social exclusion; provide conceptualizations of their operation mode; highlight the formative effects that neighborhood interdisciplinary practices with such families produce in the just graduated psychologists, included on the Extension Program. We wish to contribute to produce systematic knowledge that can account for such family configurations as potential receiver of integration policies. We are also interested on transferring the approach to diversity in the training of young professionals, in order not to be regarded as a deviation from ideal models, but as an expression of different strategies built by members of a community, to resolve children breeding and to bear their existences. This work is the result about reflections on productions inside a research fellowship: The complexities that takes the breeding in families who lives in a social exclusion situation; researches about breeding, carried out from signature Developmental Psychology II, and from de interdisciplinary work with psychologically assisted families in twelve suburbs of the city of La Plata (University Extension Program "Free Legal Offices" (Convention between Law and Social Sciences and Psychology Faculties, U.N.L.P.). From a qualitative methodology and an interdisciplinary participation, the results have arrive at the characterization and proposed conceptualizations of the included families and at the same time determine the benefits that brings with the work that articulates research and extension activities for the training of advanced students and young graduates.

Family diversity in social exclusion situations. Results and reflections on research, teaching and knowledge transfer activities

The purpose of this paper is to characterize the configurations of the families that live in contexts of social exclusion; provide conceptualizations of their operation mode; highlight the formative effects that neighborhood interdisciplinary practices with such families produce in the just graduated psychologists, included on the Extension Program. We wish to contribute to produce systematic knowledge that can account for such family configurations as potential receiver of integration policies. We are also interested on transferring the approach to diversity in the training of young professionals, in order not to be regarded as a deviation from ideal models, but as an expression of different strategies built by members of a community, to resolve children breeding and to bear their existences. This work is the result about reflections on productions inside a research fellowship: The complexities that takes the breeding in families who lives in a social exclusion situation; researches about breeding, carried out from signature Developmental Psychology II, and from de interdisciplinary work with psychologically assisted families in twelve suburbs of the city of La Plata (University Extension Program "Free Legal Offices" (Convention between Law and Social Sciences and Psychology Faculties, U.N.L.P.). From a qualitative methodology and an interdisciplinary participation, the results have arrive at the characterization and proposed conceptualizations of the included families and at the same time determine the benefits that brings with the work that articulates research and extension activities for the training of advanced students and young graduates.

Multidisciplinary Learning, Another way of Teaching Maths in Engineering

Multidisciplinary training is widely appreciated in industry and business, and nevertheless usually is not addressed in the early stages of most undergraduate programs. We outline here a multidisciplinary course for undergraduates studying engineering in which mathematics would be the common language, the transverse tool. The goal is motivating students to learn more mathematics and as a result, improve the quality of engineering education. The course would be structured around projects in four branches in engineering: mechanical, electrical, civil and bio-tech. The projects would be chosen among a wide variety of topics in engineering practice selected with the guidance of professional engineers. In these projects mathematics should interact with at least two other basic areas of knowledge in engineering: chemistry, computers science, economics, design or physics.

The light of the Cross in the Twentieth Century : the influence of the Church on modern civilization, her treatment of the great moral and social problems of our time, by master minds, the foundations, history and progress of her great educational institutions in the United States, her great religious orders of men and women for spreading the Gospel and teaching secular and religious knowledge, the history of the organization, development and aims of the great Catholic fraternal societies of the United States and their national federation with many other important subjects, the teachings of the Church made manifest to the modern mind /

Contents: v. 3. The glorious teachings of our holy religion