This article presents the results of a research carried out on the use of GeoGebra Mathematical Assistant in the teaching-learning process of differential calculus. This content deals with variation, movement, quantities that change and depend on other quantities, being considered by manypeopleasone of the great achievements of the human intellect. Differential calculus has a derivative concept considered fundamental for its study, as it is a linear operator, which forms a new function from the original, in which each point of the new function is the displacement of the original one. Its teaching has raised several difficulties for Secondary School students, such as: differential concept and derivative of a function at a point, geometric interpretation of derivative, rules of derivation and its applications in solving exercises and mathematical problems, lack of mathematical skills, determination of the growth and decrease intervals of a function, among others. These difficulties were identified through questionnairesand interviews carried out onteachers and 12th grade students, whose data were processed by the SPSS statistical software. The results showed that the visualization provided by GeoGebra in two-dimensional space proved to be an indispensable component in the construction of derivative concept. Based on these results, a didactic strategy was developed to favor the teaching-learning process of differential calculus using GeoGebra Mathematical Assistant in order to contribute to reducing these difficulties.
November 2021
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Journal Area:ABSTRACT:Pub. Date: November 30, 2021Paper No:3905
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This article presents the results of a research carried out in the 2nd year students at ISCED in Cabinda, on the teaching-learning process of triple integrals with the integration of Maple Mathematical Software. Triple integrals are one of the most difficult topics of Mathematical Analysis to master by most students of this Educational institution, as they do not have a deep mastery of immediate integrals rules, integration methods, Fubini's theorem, lack of inversion of integrationlimits mastery, identification of these limits from the graphical representation, graphic sketch of functions of one and several variables, transformation of Cartesian coordinates to cylindrical and spherical coordinates, calculation of triple integrals, non-use of Information and Communication Technologies, among others. These difficulties were identified through a questionnaire and interviews carried out on 5 teachers and 143 students, whose collected data were processed by the SPSS statistical software. The statistic data obtained allowed the elaboration of a didactic strategy to favor the teaching-learning process of the triple integrals with the integration of the Mathematical Software in order to contribute to the reduction of students' difficulties. It was validated by teachers Masters and Doctors in Mathematics.
Pub. Date: November 30, 2021Paper No:3906 -
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Background: In the last years there were a huge differences in the ADL life style within Egyptian citizens by using transportation rather than walking, preferring to resting rather than moving and making sport. These changes in life style may reflect on the lower limb range of motion. Purpose:To have a standard normal value for lower limb's range of motion for Egyptian subjects. Materials and methods: 1000 normal Egyptian male and female subjects aged between 21 and 50 years, free from any conditions cause limitation joint mobility, enrolled in the study. Three licensed physical therapists measured Lower limb joints ROM using digital goniometer to determine active joint motion of the lower limb bilaterally. Results: Range of motion average values for all joints decreased for both right and left side. The results were significantly different than most commonly used normative values. Conclusion This study showed a new data for lower limb joints ROM measurements in Egyptian subjects.
Pub. Date: November 30, 2021Paper No:3909 -
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This article presents the results obtained in the implementation of computer tools in the teaching of trigonometry in 11th grade at Liceu in Cabinda. Trigonometry is a branch of mathematics used to calculate the Earth's diameter, river widths, distances to make maps, pyramid measurements, algebraic calculations, among others. In their teaching, students have several difficulties such as: graphical representation of trigonometric functions, solving their equations and inequations, determining the domains of these functions, elaborating the concepts of sine, cosine, tangent, cotangent, secant and cosecant from the right triangle, among others. These difficulties were found by applying questionnaires and interviewing teachers and pre-testing 155 11th grade students. Based on this, a didactic alternative was developed in four stages (planning, elaboration, execution and control) using the GeoGebra Mathematical Assistant to favor the teaching-learning process of this content. The evaluation of this Alternative by experts in Mathematics gave rise to satisfactory results that guarantee its validity. These results are the result of the set of activities carried out by students in GeoGebra where more than 70% obtained positive results in the three courses administered at that school.
Pub. Date: November 30, 2021Paper No:3936 -
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Mechanical neck pain (MNP)affects approximately two thirds of the population in the middle age due to poor postural habits. Purpose: to compare the effect of pulsed electromagnetic field versus pulsed ultrasound on pain intensity, cervical range of motion and functional restriction in treating patients with MNP. Design: randomized controlled trial. Methods: 45 patients with MNP participated in this study. They were assigned randomly into three groups: Group (A) received pulsed ultrasound and conventional physical therapy program, group (B) received pulsed electromagnetic field and conventional physical therapy program, group (C) “control group” received conventional physical therapy program. Subjects received three sessions a week for four weeks. The authors measured pain intensity, cervical range of motion and neck disability by the visual analogue scale, Acu Angle Inclinometer and neck disability index, respectively before and after four weeks of treatment. Results: There were statistical significant improvements in all groups after intervention in favor of group (B). Conclusion: It was concluded that the group that received pulsed electromagnetic field had the greatest improvement in pain intensity, cervical range of motion and neck disability in patients with MNP.
Pub. Date: November 28, 2021Paper No:3871 -
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Introducción: La escala de valoración de la clínica Mayo (MWS) por sus siglas en inglés, evalúa la funcionalidad de la muñeca desde el punto de vista del dolor, estado laboral, movilidad y fuerza de precisión. Las placas de ángulo variado han otorgado a los cirujanos mayor versatilidad que la fijación interna ya que permite responder ante diferentes eventualidades o panoramas de la fractura y fijar fragmentos óseos específicos. Métodos:Se realizó un estudio retrospectivo incluyendo 121 pacientes con fractura de radio distal tratados con placa volar de ángulo variable, considerando edad, sexo, comorbilidades (Diabetes, Hipertensión o ambas), tipo de fractura (A, B o C de la AO/OTA) y si completaron programa de rehabilitación, se evaluaron a los 6 y 12 meses utilizando la escala Mayo Wrist Score.Se calcularon los puntajes obtenidos de la escala por paciente para así obtener 4 grupos de pacientes con base en el resultado final de la MWS (Excelente, Bueno, Razonable y Pobre), para finalmente realizar las mediciones y aplicación de pruebas estadísticas. Resultados:Se analizaron un total de 121 pacientes de los cuales 76 (62.80) eran mujeres y 45 (37.20) hombres, con una edad promedio de 59.4 años. Se obtuvieron los puntajes de la MWS, encontrándose 93.38% de pacientes con puntuación Buena o superior. La diferencia entre los promedios de los puntajes de la MWS a los 6 y 12 meses fue estadísticamente significativa (p<0.001), con un promedio de 85 pts.(bueno) a los 12 meses. A los 12 meses posteriores a su cirugía la disminución de dolor, mejoria en fuerza y rango de movilidad, fue mayor en los que realizaron la rehabilitación en comparación con aquellos que no la realizaron siendo esta una diferencia estadísticamente significativa p= 0.001, en relacion al tipo de fractura solo mostro diferencia significativa el dolor, el cual es mayor en las tipo A y la satisfaccion a 12 meses la cual es menor en las fracturas tipo B. Discusión: En estudios de diversos autores se han obtenido resultados similares con la diferencia de que sehan incluido diversas variables como complicaciones entre otras, o se han considerado distintas escalas, sin embargo se encontraron dos estudios donde el dolor al usar la placa volar para radio distal fue mayor, y donde los pacientes no recuperaban el puntajebasal de las escalas, aunque estos resultados son probablemente atribuibles a otros factores no considerados. Conclusiones:93%de los pacientes con FRD tratados con placa volar de ángulo variable obtienen Buenos o Excelentes resultados clinicos medidos con la MWS, El Dolor, Satisfaccion, Rango de Movilidad y Fuerza mejoran significativamente a los 12 meses de haber sido intervenidos, la MWS es una escala util para el seguimiento clinico de estos pacientes, aun mas tras completar el programa de rehabilitacion prescrito;la edad, el tipo de fractura y las comorbilidades no parecen tener un papel significativo en los resultados clinicos.
Pub. Date: November 28, 2021Paper No:3940