Explorando a matemática dentro da calculadora

This dissertation aims to suggest the teacher of high school mathematics a way of teaching logic to students. For this uses up a teaching sequence that explores the mathematical concepts that are involved in the operation of a calculator one of the greatest symbols of mathematics.

Explorando a matemática dentro da calculadora

This dissertation aims to suggest the teacher of high school mathematics a way of teaching logic to students. For this uses up a teaching sequence that explores the mathematical concepts that are involved in the operation of a calculator one of the greatest symbols of mathematics.

Three essays on investment in human capital in Canada

Cette thèse examine l’investissement en capital humain au Canada en s’intéressant à la contribution de l’aide financière aux études, aux effets de la fiscalité, à la rentabilité de l’investissement en éducation postsécondaire et à la redistribution des revenus. Elle est subdivisée en cinq chapitres. Le premier chapitre présente une révue chronologique des études microéconomiques sur l’investissement en capital humain. Il présente également une synthèse des études canadiennes sur l’investissement en capital humain en insistant sur les limites portant essentiellement sur la non prise en compte de l’hétérogénéité des systèmes de prêts et bourses et des systèmes fiscaux à travers les provinces canadiennes et la faible analyse de la répartition des coûts et bénéfices de l’investissement en éducation au Canada. Le second chapitre présente la méthodologie de mesure des rendements de l’éducation et des gains issus des investissements en éducation. Il décrit les données utilisées et les résultats des régressions économetriques. Finalement, le chapitre présente SIMAID, un calculateur d’aide financière aux études élaboré pour les objectifs dans cette thèse et qui permet d’estimer le montant de l’aide financière devant être attribuée à chaque étudiant en fonction de ses caractéristiques personnelles et de celles de sa famille. Dans sa première section, le troisième chapitre présente les rendements sociaux, privés et publics de l’éducation et montre que les rendements de l’éducation varient selon les provinces, les filières de formation, le genre et les cohortes d’année de naissance et décroient avec le niveau d’éducation. Dans sa seconde section, le chapitre montre que l’aide financière aux études accroît le rendement des études du baccalauréat de 24.3% et 9.5% respectivement au Québec et en Ontario. Finalement, le chapitre indique qu’un changement du système d’aide financière aux études de Québec par celui de l’Ontario entraîne une baisse de 11.9% du rendement des études au baccalauréat alors qu’un changement du système fiscal québécois par celui ontarien entraine une hausse du rendement du baccalauréat de 4.5%. L’effet combiné du changement des systèmes d’aide financière et fiscal est une baisse du rendement du baccalauréat de 7.4%. Le quatrième chapitre fournit une décomposition comptable détaillée des gains sociaux, privés et publics des investissements en éducation. Le gain social de l’investissement au baccalauréat est de $738 384 au Québec et de $685 437 en Ontario. Ce gain varie selon les filières de formation avec un niveau minimal pour les études humanitaires et un niveau maximal pour les études en ingénierie. Le chapitre montre également que la répartition des bénéfices et des coûts de l’investissement en éducation entre les individus et le gouvernement est plus équitable en Ontario qu’à Québec. En effet, un individu qui investit à Québec supporte 51.6% du coût total et engrange 64.8% des gains alors que le même individu supporterait 62.9% des coûts sociaux et engrangerait 62.2% des gains en Ontario. Finalement, le cinquième chapitre présente et analyse les effets rédistributifs des transferts et des taxes suite à un investissement en éducation. Il examine aussi si l’aide financière aux études est effectivement allouée aux personnes les plus pauvres. L’argument selon lequel l’aide financière est destinée aux plus pauvres est rejeté en analysant la distribution du revenu permanent. En effet, il ressort que 79% des personnes bénéficiant de l’aide financière aux études se trouvent dans le cinquième quintile de la distribution des revenus permanents. Le chapitre montre également que l’investissement en éducation impacte positivement les effets rédistributifs en 2006, 2001 et 1996 et négativement en 1991 et 2011. L’impact est également perceptible sur les composantes de l’effet rédistributif. Toutefois, la sensibilité de l’impact au taux d’actualisation dépend de l’indice utilisé dans l’analyse.

Traitement de données observationnelles et développement d’un code de simulation pour SpIOMM et SITELLE

L’arrivée du spectromètre imageur à transformée de Fourier SITELLE au télescope Canada-France-Hawaï souligne la nécessité d’un calculateur de temps d’exposition permettant aux utilisateurs de l’instrument de planifier leurs observations et leurs demandes de temps de télescope. Une grande partie de mon projet est ainsi le développement d’un code de simulation capable de reproduire les résultats de SITELLE et de son prédecesseur SpIOMM, installé à l’Observatoire du Mont-Mégantic. La précision des simulations est confirmée par une comparaison avec des données SpIOMM et les premières observations de SITELLE. La seconde partie de mon projet consiste en une analyse spectrale de données observationelles. Prenant avantage du grand champ de vue de SpIOMM, les caractéristiques du gaz ionisé (vitesse radiale et intensité) sont étudiées pour l’ensemble de la paire de galaxies en interaction Arp 72. La courbe de rotation dans le visible ainsi que le gradient de métallicité de NGC 5996, la galaxie principale d’Arp 72, sont obtenues ici pour la première fois. La galaxie spirale NGC 7320 est également étudiée à partir d’observations faites à la fois avec SpIOMM et SITELLE.

Educação financeira no ensino médio: uma abordagem por meio da análise de produtos financeiros com ênfase em consórcios

This paper presents a differential approach of financial mathematics developed in high school, focusing on financial education. We seek through the insertion of texts, analysis of some financial products and by the interpretation of problems to contribute to the financial training of students. Aiming to make financial mathematics more attractive and accessible to the day-today, there are available for studies some practical tools like the citizen calculator which are available for computers and mobile phones. As well as spreadsheets and software Geogebra, that allow you to compare and analyze the financial costs of consortia, financing and financial applications,in addition to being allied in the preparation and control of personal and family budget. By applying the teaching sequence proposed in a nocturnal class of high school, we realized some difficulties that have limited the financial learning of math concepts.Yet identified progress regarding the financial education of students. These observations were made through qualitative and quantitative analysis from notes in the field diary and also answers given by students in specific form.

An investigation of environmental conditions experienced during the life of high-value wood components and products

Australian forest industries have a long history of export trade of a wide range of products from woodchips (for paper manufacturing), sandalwood (essential oils, carving and incense) to high value musical instruments, flooring and outdoor furniture. For the high value group, fluctuating environmental conditions brought on by changes in temperature and relative humidity, can lead to performance problems due to consequential swelling, shrinkage and/or distortion of the wood elements. A survey determined the types of value-added products exported, including species and dimensions packaging used and export markets. Data loggers were installed with shipments to monitor temperature and relative humidity conditions. These data were converted to timber equilibrium moisture content values to provide an indication of the environment that the wood elements would be acclimatising to. The results of the initial survey indicated that primary high value wood export products included guitars, flooring, decking and outdoor furniture. The destination markets were mainly located in the northern hemisphere, particularly the United States of America, China, Hong Kong, Europe (including the United Kingdom), Japan, Korea and the Middle East. Other regions importing Australian-made wooden articles were south-east Asia, New Zealand and South Africa. Different timber species have differing rates of swelling and shrinkage, so the types of timber were also recorded during the survey. Results from this work determined that the major species were ash-type eucalypts from south-eastern Australia (commonly referred to in the market as Tasmanian oak), jarrah from Western Australia, spotted gum, hoop pine, white cypress, black butt, brush box and Sydney blue gum from Queensland and New South Wales. The environmental conditions data indicated that microclimates in shipping containers can fluctuate extensively during shipping. Conditions at the time of manufacturing were usually between 10 and 12% equilibrium moisture content, however conditions during shipping could range from 5 (very dry) to 20% (very humid). The packaging systems incorporated were reported to be efficient at protecting the wooden articles from damage during transit. The research highlighted the potential risk for wood components to ‘move’ in response to periods of drier or more humid conditions than those at the time of manufacturing, and the importance of engineering a packaging system that can account for the environmental conditions experienced in shipping containers. Examples of potential dimensional changes in wooden components were calculated based on published unit shrinkage data for key species and the climatic data returned from the logging equipment. The information highlighted the importance of good design to account for possible timber movement during shipping. A timber movement calculator was developed to allow designers to input component species, dimensions, site of manufacture and destination, to see validate their product design.

A modelação matemática com recurso a tecnologia: Um estudo em contexto de colaboração entre professoras de matemática e de física-química

Este estudo teve como objectivo compreender o desenvolvimento de tarefas de modelação, por parte de uma professora de Matemática e de uma professora de Física­ Química, no âmbito de trabalho colaborativo. Para tal foram formuladas três questões orientadoras: 1. Como é que os professores seleccionam e preparam as tarefas de modelação a colocar aos alunos em situação de sala de aula? Que características das tarefas de modelação se mostram fundamentais para a sua selecção? 2. como desenvolvem os professores as tarefas de modelação na sala de aula? Como gerem e dinamizam as aulas onde colocam tarefas de modelação aos alunos? Que papel reservam ao professor e ao aluno? 3. como exploram os professores as potencialidades das calculadoras gráficas no desenvolvimento das tarefas de modelação? Que questões se colocam à utilização de sensores? O estudo decorreu numa escola secundária, durante o ano lectivo de 2005/06, sob proposta e com a participação da investigadora, envolvendo uma professora de Matemática e uma professora de Física-Química de uma mesma turma de 100 ano. O grupo colaborativo reuniu regularmente e preparou e leccionou aulas com tarefas de modelação matemática, recorrendo a calculadoras gráficas e sensores, tarefas e tecnologias novas para ambas as professoras. A metodologia utilizada na investigação tem natureza qualitativa, tendo sido realizadas duas entrevistas longas a cada professora, uma no início e outra no fim do estudo, bem como entrevistas de curta duração às professoras após cada uma das aulas onde foram desenvolvidas as tarefas. Foram também recolhidos registos das sessões colectivas de trabalho e elaborado um "diário de bordo". O estudo permitiu formular as seguintes conclusões: - Quando as professoras seleccionavam as tarefas de modelação a propor aos seus alunos tinham em consideração o cumprimento dos programas, os conteúdos a abordar e a diversidade de questões que se podem formular sobre os mesmos e o interesse e significado da experiência para os alunos. - O tempo que é necessário para a preparação e execução das tarefas de modelação pareceu ser factor de grande peso na sua selecção. - O elevado número de alunos por turma pode ser factor um negativo para o desenvolvimento de tarefas de modelação na sala de aula. -Na opinião das professoras, o recurso à calculadora gráfica e aos sensores para realizar a recolha de dados relativos a uma tarefa de modelação tomou-as mais apelativas e ajudou os alunos a compreender a situação em causa assim como permitiu tomar mais nítida a relação entre a Matemática e a Física. ABSTRACT: This study aimed to understand the development of modelling tasks, by a Mathematics teacher and a Physics-Chemistry teacher, as part of collaborative work. For this study were formulated three guidelines: 1. How do teachers select and prepare the modelling tasks to present to the students in a classroom situation? What characteristics of these tasks are essential for their selection? 2. How do teachers develop the modelling tasks in the classroom? How do they manage and dynamize the classes where the modelling tasks took place? What role it's reserd to the teacher and the student? 3. How do teachers exploit the potential of graphics calculator in the development of the modelling tasks? What issues arise for the use of sensors? This study took place at a secundary school during the academic year 2005/06, as a suggestion and with the participation of the researcher, involving a Mathematics teacher and a Physics-Chemistry teacher of the same class (10th grade). The collaborative group had regular meetings and prepared and developed modellin tasks in the classroom using graphics calculator and sensors, which was a new activity for all the teachears. The methodology used has a qualitative nature. Two interviews were made to each teacher, one at baseline and another at the end of the study, fourteen work sections and three modelling tasks were explored in classroom context after which followed small interviews to the teacher that gave the class. ln addition records were also made in a small "log-book". This study allowed to reach the following conclusions: - When the teachers select the modelling tasks to offer its students they take into account the programs, the contents and the diversity of questions that can be made on it and the interest and significance of the experience for students. - The time needed for preparation and implementation of the modelling tasks is another factor of great weight in its selection. - The high number of student per class can be a negative factor for the development of modelling tasks in the classroom. Iii - ln the teacher’s opinion, the use of the graphics calculator and sensors to collect data on a modelling tasks makes its more attractive and helps students to understand the situation and makes clearer the link between Mathematics and Physics.

Correlación entre glucosa basal y hemoglobina glucosilada en el adulto mayor en el cantón Cuenca, 2015

INTRODUCCIÓN: Alteraciones en el metabolismo de la glucosa son causantes de Síndrome Metabólico y diabetes en adultos mayores; la determinación de hemoglobina glucosilada es un indicador exacto de la glucemia de los individuos en los últimos tres meses permitiendo comprobar el estado de salud. OBJETIVO: Establecer la correlación entre glucosa basal y hemoglobina glucosilada y su asociación con Síndrome Metabólico en adultos mayores del cantón Cuenca. METODOLOGÍA: Estudio descriptivo en 126 adultos mayores. Para la obtención de la muestra se utilizó el calculador automático EPI INFO. De los participantes un grupo con Síndrome Metabólico cumplió el criterio de la Adult Treatment Panel (APT-III). Se aplicó una encuesta para recolección de información y se tomó muestras de sangre para determinar glucosa basal y hemoglobina glucosilada. La información obtenida se procesó en el programa SPSS versión 20.0, Excel y MedLab. Se clasificaron los valores de acuerdo a frecuencia por edad, sexo y su relación con Síndrome Metabólico. RESULTADOS: Se analizaron 126 pacientes entre 65 y 96 años, siendo más frecuentes adultos mayores de sexo femenino con 65,1%. La población con Síndrome Metabólico fue 50.8%. La media de glucosa fue 87,16 y de hemoglobina glucosilada 5,65%. Luego del análisis 92% se encontraron en el rango normal de glucemia y 92,8% de HbA1; se ubicó en el rango de prediabetes 4,8% y dentro del rango de diabetes el 2,4%. Mediante coeficiente de correlación de Pearson se determinó una correlación moderada de 0.418 entre glucemia basal y hemoglobina glucosilada. Se observó una ligera relación entre alteración del metabolismo de glucosa y Síndrome Metabólico pues 12,5% de pacientes con esta enfermedad presentaron hiperglucemia y 11% HbA1 alterada

Guía didáctica para el uso de la calculadora Casio fx-7400GII en la gráfica de funciones racionales y radicales

El presente trabajo fue realizado con el propósito de relacionar los contenidos de funciones racionales y radicales con los recursos tecnológicos, de manera que éstas se conviertan en formas innovadoras de enseñar y aprender. Para ello se ha propuesto elaborar una guía didáctica sobre el uso de la calculadora Casio fx-7400GII en la gráfica y análisis de funciones racionales y radicales. En ésta propuesta, la calculadora es vista como un recurso didáctico, orientado a promover una metodología constructivista en el proceso de enseñanza-aprendizaje en el mencionado tema. La presente propuesta se debe a que en la educación actual no se están utilizando los recursos tecnológicos como es el caso de la calculadora gráfica en el aula de clase, pues no se disponen de guías didácticassencillas adecuados para una determinada asignatura. Es importante usar la calculadora gráfica en el estudio de las funciones racionales y radicales ya que al momento de realizar su estudio y análisis de forma manual se requiere de mucho tiempo y se convierte en una actividad tediosa, en tanto que se puede ahorrar tiempo y esfuerzo utilizando la calculadora Con la presente propuesta se pretende que los estudiantes alcancen un mejor nivel de conocimiento en el tema, a través del uso de la guía en el aula de clases generando un proceso de enseñanza-aprendizaje más práctico y dinámico

Guía de prácticas sobre agrupación de datos y gráficos en estadística, con la calculadora CASIOFX 7400 para los estudiantes de la carrera de Matemáticas y Física de la Universidad de Cuenca

El presente trabajo titulado: Guía de Prácticas sobre Agrupación de Datos y Gráficos en Estadística, con la calculadora Casiofx-7400 para los estudiantes de la carrera de Matemáticas y Física de la Universidad de Cuenca tiene por objetivo crear una guía de prácticas, que sirva de apoyo a los estudiantes en el aprendizaje deEstadística. La guía consta de tres capítulos: Fundamentación Teórica, Análisis Estadístico y la Propuesta. En el primer capítulo se da conocer: el marco teórico el cual fundamenta este trabajo, basado en el enfoque constructivista como corriente pedagógica;la importancia de las guías didácticas como recurso en la acción educativa; el empleo de las TIC(tecnologías de la Información y Comunicación) dentro de las aulas de clase y los beneficios de la calculadora graficadora. En el capítulo dos: Análisis Estadístico; se presenta información recolectada mediante una encuesta. La información tabulada se muestra en tablas y gráficos estadísticos, seguido de sus respectivas interpretaciones, con la cual se da validez a ésta propuesta. En el tercer capítulo se desarrolla la guía de prácticas para el uso de la calculadora graficadoraCasiofx-7400GII para el aprendizaje de Agrupación de Datos y Gráficos en Estadística; enfocada en la corriente constructivista. La guía está dividida en tres apartados: 1. Conceptos básicos de Estadística y descripción de la calculadora graficadora. 2. Agrupación de datos. 3. Gráficos estadísticos. Para potenciar el uso de la calculadora graficadora dentro del aula de clase cada apartado contiene objetivos y evaluaciones.

Out of touch

In June 2016, an Australian on minimum wage earned $656.90 per week. That is $34,159 a year, before tax. According to the Australian Tax Office’s ‘simple tax calculator’, the tax owed would be $3030, leaving a take-home salary of $31,128. Let’s call it $600 a week.It’s fair to say that many of us would struggle to make ends meet on that income – $600 a week does not go very far in modern Australia.

Impact on hip fracture mortality after the establishment of an orthogeriatric care program in a colombian hospital

El objetivo del estudio es evaluar la mortalidad a un año en pacientes con fractura de cadera, mayores de 65 años tratados en un programa establecido de orto-geriatría. 298 se trataron de acuerdo al protocolo de orto-geriatría, se calculo la mortalidad a un año, se establecieron los predictores de mortalidad orto-geriátrico. La sobrevida anual se incremento de 80% a 89% (p = .039) durante los cuatro años de seguimiento del programa y disminuyo el riesgo de mortalidad anual postoperatorio (Hazard Ratio = 0.54, p = .049). La enfermedad cardiaca y la edad maor a 85 años fueron predictores positivos para mortalidad.

Distribution modelling of wild rabbit hunting yields in its original area (S Iberian Peninsula)

In this work we used the information of the Annual Hunting Reports (AHRs) to obtain a high-resolution model of the potential favourableness for wild rabbit harvesting in Andalusia (southern Spain), using environmental and land-use variables as predictors. We analysed 32,134 AHRs from the period 1993/2001 reported by 6049 game estates to estimate the average hunting yields of wild rabbit in each Andalusian municipality (n5771). We modelled the favourableness for obtaining good hunting yields using stepwise logistic regression on a set of climatic, orographical, land use, and vegetation variables. The favourability equation was used to create a downscaled image representing the favourableness of obtaining good hunting yields for the wild rabbit in 161 km squares in Andalusia, using the Idrisi Image Calculator. The variables that affected hunting yields of wild rabbit were altitude, dry wood crops (mainly olive groves, almond groves, and vineyards), temperature, pasture, slope, and annual number of frost days. The 161 km squares with high favourableness values are scattered throughout the territory, which seems to be caused mainly by the effect of vegetation. Finally, we obtained quality categories for the territory by combining the probability values given by logistic regression with those of the environmental favourability function.

The Students’ Perspective of Geometry Teaching and Learning in High School

The purpose of this article is to present the results obtained from a questionnaire applied to Costa Rican high school students, in order to know their perspectives about geometry teaching and learning. The results show that geometry classes in high school education have been based on a traditional system of teaching, where the teacher presents the theory; he presents examples and exercises that should be solved by students, which emphasize in the application and memorization of formulas. As a consequence, visualization processes, argumentation and justification don’t have a preponderant role. Geometry is presented to students like a group of definitions, formulas, and theorems completely far from their reality and, where the examples and exercises don’t possess any relationship with their context. As a result, it is considered not important, because it is not applicable to real life situations. Also, the students consider that, to be successful in geometry, it is necessary to know how to use the calculator, to carry out calculations, to have capacity to memorize definitions, formulas and theorems, to possess capacity to understand the geometric drawings and to carry out clever exercises to develop a practical ability.