Graphic Registration Research Articles

The Need for Editorial Reorganization of Problem Statements on the Logarithmic Function Proposed in School Textbooks to Improve Their Comprehension

We present elements of reflection that allow us to approach the role of the editorial organization in understanding certain problem statements modeled by a logarithmic function proposed in school texts. The main objective is to analyze the role that editorial reorganization plays in problem statements related to the logarithmic function, semiotic elements that promote the articulation of the semiotic representation registers that students can use to provide solutions to the proposed questions, since the understanding of problem statements lies in the coordination of at least two representation registers, but part of this is within the Natural Language register. The methodological design was a descriptive qualitative case study in which the editorial reorganization of four problem statements about the logarithmic function, selected from three school texts, was carried out. These statements were applied to seven university students in order to analyze their productions, mathematical treatments, and the way in which they articulated the different semiotic registers to provide a solution to the presented problem statement. In relation to the development of the sequence of statements, the need to reformulate problem statements that lead to the discrimination of all visual values in the graphic register in correspondence with variations in the significant units of the algebraic register was confirmed.

The politics of attention in the paintings of René Tavares

René Tavares’s artistic production actively engages with political themes like migration and racism, simultaneously reflecting and inviting the deconstruction of the ‘alert attentional regime’. This term refers to our digital era's characteristic heightened state of alertness and fragmented attention, which scatters our focus across multiple streams of information. Rather than simply mirroring society’s fragmented attentional state, his work fosters more mindful and intentional engagement, encouraging viewers to transcend the transient attentiveness inherent in contemporary society. Central to his practice is the concept of rhythm, symbolizing the velocity of modern life and facilitating a shift to more sustained attention. This is achieved through patterns and colours that mimic swift information cycles, inherent to our times, captivating the viewer’s attention while setting the stage for a deeper, more mindful engagement with the artwork. Tavares intertwines elements like the ‘floating mark’, representing ephemeral meanings in our digital era; ‘polyfocality’, reflecting and addressing society’s fragmented attention through multiple focal points, and ‘pictorial syncretism’, which refers to the amalgamation of different painterly registers such as stains, graphic registers, splatters, layer overlay, word insertion and scrapings, blending visual traditions to highlight the fluid cultural boundaries in our globalized world. By doing so, it potentially opens up the possibility for a redistribution of the sensible, prompting critical thinking and an inherently political understanding of our place within a broader societal context.

Knowledge diagnosis of trigonometric functions in engineering students

Most students who begin university studies in Mexico do not have basic knowledge of mathematical objects, which causes students to fail due to poor performance. Therefore, the objective of this paper was to diagnose the prior knowledge of trigonometric sine and cosine functions in engineering students of a university in order to use this information in a didactic proposal that improves learning in such mathematical objects. For this purpose, an evaluation instrument was designed using the conceptual framework of Duval's semiotic representations and it was applied to a representative sample of 42 randomly chosen engineering students. It was found that the students have strengths in the cognitive activity of Treatment of the Graphic Register and in the Conversion of the Tabular Register to a graph. But they have deficiencies in the Treatment of the Tabular Register and in the Conversions from a Graphical to an Algebraic Register, and also from the Algebraic to the Tabular Register, both in the sine function, and only from the Tabular to the Algebraic in the case of the cosine function. It is recommended to enhance this knowledge in a teaching proposal to improve learning performance outcomes.

Современные принципы восстановления нарушенной антитромбогенной активности эндотелия сосудистой стенки в период перименопаузы

Hormonal changes during perimenopause cause impairment of the antithrombogenic activity of the vascular wall (ATAVW), which is one of the factors leading to the development of atherosclerosis. Pharmacological and non-pharmacological methods of treatment contribute to the restoration of ATAVW. Objective. To study the effect of complex treatment including intravenous laser blood irradiation (ILBI) and combined hormone replacement therapy (HRT) with low and ultra-low doses of estrogen on ATAVW in patients with secondary cardiomyopathy (SCM) during perimenopause. Patients and methods. This study included 90 perimenopausal women diagnosed with SCM who had decreased ATAVW and received different treatment to relieve menopausal symptoms. Patients were divided into three groups depending on the choice of treatment: group 1 (control) was treated with a multivitamin complex, group 2 – with low-dose combined HRT based on 1 mg estradiol + ILBI, group 3 – with ultra-low-dose combined HRT based on 0.5 mg estradiol + ILBI. The follow-up period was 3 years. ATAVW was assessed during screening, at 6, 12, and 36 months after inclusion in the study. At each visit we determined ATAVW, anti-aggregation activity with graphical registration, anticoagulant, and fibrinolytic activity. Results. In the groups with HRT + ILBI, positive dynamics were achieved in all parameters of AAVW: an increase in the antiaggregation, anticoagulant, and fibrinolytic activity of the vascular wall both before and after compression test during the whole period of follow-up. The positive statistically significant (p < 0.001) dynamics of these ATAVW parameters were noted after 6 months of treatment and persisted throughout the entire follow-up and treatment period. Conclusion. The use of ILBI in combination with low-dose or ultra-low-dose HRT in perimenopausal patients with SCM and decreased ATAVW led to the improvement of ATAVW, which resulted in the increase in anticoagulant, anti-aggregation, and fibrinolytic activity. Key words: endothelium, antithrombogenic activity, vascular wall, secondary cardiomyopathy in perimenopause, intravenous laser blood irradiation, hormone replacement therapy

Semiotic Representations In The Learning Of Rational Numbers By 2nd Grade Portuguese Students

The use of different registers to represent mathematical concepts improves their understanding. For example, rational numbers can be represented by symbolic or pictorial representations and by natural language, and this kind of transformation between them improves learning. Based on these assumptions, a teaching experiment for the learning of rational numbers by 2nd grade students were conducted to understand the contribution of semiotic representations in the learning of rational numbers, in particular in the topic of unit fractions. Using a qualitative methodology and a content analysis of the students' written productions, the study shows a greater use of the pictorial representation register compared to the other representation types. Students' main difficulties in learning rational numbers relate to the pictorial representation of unit fractions and to understanding the concept of fraction itself. Some of these difficulties are the result of errors such as the misrepresentation of unit fractions by the pictorial register, the association of the concept half with multiple unit fractions, the absence of the fraction bar when they use the symbolic register, the use of everyday terms to represent fractions when students use the natural language register, and the misrepresentation of rational numbers when they use the graphic register.

Interacciones entre proposiciones condicionales y sistemas matemáticos de símbolos en una tarea matemática

Results from an investigation with freshmen in a first year university Calculus course are presented, which was designed to inquiry about their use of conditional propositions (necessary condition, sufficient condition) and its relation with the Mathematical Symbol System used to present information about these propositions (graphic register, algebraic register). The questions formulated in this instance are similar to those that must be answered in activities related with the notion of function. Differences in students’ performance indicate that tasks about necessary condition on graphic register result significantly easier than others; there is evidence of a better performance in tasks on graphic register in relation with algebraic one, and in tasks about necessary condition with respect to sufficient condition.

A relevância do registro gráfico no ensino e na aprendizagem das equações diferenciais ordinárias

À luz da teoria dos registros de representação semiótica, assumimos a mobilização de diferentes registros como elemento necessário para a compreensão de conceitos matemáticos. Estudos apontam que o ensino e a aprendizagem das equações diferenciais ordinárias (EDOs), usualmente, se dá, pela utilização e manipulação do registro simbólico-algébrico em detrimento dos demais registros como, por exemplo, o registro gráfico. Neste contexto, este artigo tem por objetivo discutir a importância do registro gráfico nos processos de ensino e de aprendizagem das EDOs. Para tanto, elaboramos e aplicamos, a um grupo de estudantes do ensino superior, uma sequência de situações, que abordavam o conceito de equação diferencial ordinária (EDO) utilizando diferentes registros de representação semiótica, tendo em vista o favorecimento da abordagem qualitativa das suas soluções. Os resultados apontam que o uso do registro gráfico para obter informações a respeito das soluções de uma EDO, possibilitou, aos alunos estabelecerem relações entre a EDO e sua família de soluções, entre a EDO e seu campo de vetores, reconhecendo as EDOs em suas diferentes representações o que favorece a compreensão do objeto matemático em estudo.

Computer Program for Digital Data Analysis of Facebow Records – Part ІI

Abstract The aim of the study was to perform a comparative data analysis of the values of sagittal condylar path and arrow point angle, obtained through measurements based on facebow records, by applying two methods: manual and digital by using the Mini-Maxi Facebow Analyzer computer program. Material and method: The program was tested through processing the data of 101 subjects (52 men and 49 women). The left and right sagittal condylar path was registered by using the Mini-Maxi facebow and the mandibular central position was determined by intraoral graphic registration. The data of each subject were entered into the program and the individual values of the registered parameters were calculated. Then, a comparative statistical analysis of the data obtained by the conventional manual measurement with a protractor and the computer program was performed. Results: The mean value of the sagittal condylar path obtained through the computer program was 34.89˚ for the right side and 35.86˚ for the left side. The mean value of the arrow point angle obtained through the computer program was 107.52˚. The differences between the data for men and women were not statistically significant (р < 0.05). Conclusions: The computer program provides an accurate analysis of facebow records and assists in determining individual patient’s movement parameters of the lower jaw. The comparative analysis of the accuracy of parameters obtained through conventional and digital measurements demonstrates the high product reliability of the computer program.

Diagnóstico de conocimientos previos sobre la parábola en estudiantes universitarios

The purpose of this work was to diagnose previous knowledge of the parabola in freshmen at a university through the conceptual framework of Duval's semiotic representations, in order to develop a didactic proposal that improves their learning. For this purpose, an instrument was designed to assess whether a student understands the main characteristics of the parabola in its various representations, as well as the ability to perform conversions between verbal, algebraic and graphic registers. It was applied to a sample of 55 engineering freshmen before receiving instruction on the topic. It was found that the most difficult treatment activities were the graphic and algebraic records, while in the Conversion activities the lowest performance was observed from the graphic to the algebraic and from the verbal to the graphic. On the other hand, the Treatment activities in the verbal register, and the conversions from the graphic to the verbal, from the algebraic to the graphic and from the verbal to the algebraic were found to be strengths. Therefore, students' prior knowledge of the parabola was diagnosed which will contribute to support a didactic proposal aimed at improving the learning of this topic.

Correction of serious speech disorders of preschool children taking into account electroencephalography indicators

All sustainable deviations of the speech system of the children with normacusis but without primary intellectual disabilities are severe speech disorders. Children need different types of correction depending on symptoms and etiology of speech disorders, the success of correction depends largely on the correct diagnosis. Currently, the choice of corrective programs aimed at the development of damaged brain structures is relevant nowadays. The purpose of the study is to determine the potential use of electroencephalography (EEG) indicators for early diagnosis of serious speech disorders and understanding of the correction activities and methods to be used in the work of a speech therapist. There have been many laboratory studies related to the functional activity of the brain but the electroencephalogram, as a means of diagnosing preschool children suffering from severe speech disorders, is becoming increasingly important. The EEG studies the regularities of the total electrical activity of the brain; The EEG is a method of graphical registration of the brain biopotentials, which allows analysing its physiological maturity and the presence of focal lesions, the nature of general brain disorders. The speech therapist studies activities only of the peripheral part of the speech apparatus, consequences caused by disorders of the central nervous system (CNS) of the brain, to be more precise. Thus, if the speech therapist has additional information about the function of the central parts of the brain when working with a child, this will help the specialist in choosing the most effective program for correcting disorders. Our research has shown that children’s speech disorders are not an only pathology, they are often combined with other disorders of the nervous system and child’s altered psycho-emotional status. The EEG analysis of the children suffering from speech disorders indicates the presence of pathological electrical activities of various degrees. This is consistent with the results of the studies dealing with higher mental functions which reveal their significant changes when having severe speech disorders. Understanding the neurophysiological mechanisms enabling the organisation of speech activities is a necessary condition for the development and application of adequate methods aimed at correcting speech disorders. The use of the electroencephalographic research reveals speech disorders by assessing the compliance of the electrical activities of the cerebral cortex and trunk with age-related norms. The study of the neurophysiological mechanisms that cause difficulties in developing children’s speech will help in the future to develop programs for special psychological and pedagogical correction.

Effects of the association of registers of semiotic representation on the resolution of problems of direct proportionality

This research focuses on the two main registers of semiotic representations in direct proportionality. Based on the theory of registers of semiotic representation, we examine the effects of tabular and graphical registers in solving problems of direct proportionality. We hypothesize that mobilized registers will have an impact on the performance of our learners. Using a factorial design, our study of ninety-two learners in the second year of secondary school (13-14 years old) evaluates the implementation of four pedagogical scenarios characterized by an identical discovery task, but mobilizing different semiotic registers.

Researches about curves sketching on the perspective of global interpretation of figural units focusing on high school

A teaching approach based on the global interpretation of figurative properties prioritizes the curve sketching and understanding from the conversions among algebraic, graphical and linguistic registers, more precisely the identification of basic units (graphical, symbolic and linguistic) and the verification of how they related with each other. Raymond Duval presents this approach in an outline work of a related linear function using a resource for the global interpretation of the parameters of the algebraic expression: , emphasizing the relationship between these parameters and the graphical visual variables: inclination direction, tracing angles with the axes, and tracing position relatively to the vertical axis origin. Other authors have proposed works under this perspective with a focus on High School. Among them: Moretti (2003), for the quadratic function; Silva (2008), for the exponential, logarithmic and trigonometric functions; Menoncini & Moretti (2017), for the modular function; Martins (2017), for curves whose expressions are in parametric form; Moretti, Ferraz & Ferreira (2008), for more complex functions of college teaching; and Pasa (2017), for polynomial functions of the second and third degree. In this article, we present these works, complementing Pasa & Moretti (2016), presenting the resources used in each of them that allow changing verifications which the graph changes generates in the algebraic expression and vice versa and the identification of the visual variables and units related to the modifications.

Matzevot kevurah esquecidas — resgate etnoarqueológico do Cemitério Judaico de Gurupá, Pará, Brasil

O Cemitério Judaico de Gurupá, no Pará, esteve em uso entre a segunda metade do século XIX e a primeira metade do século XX como local de sepultamento da comunidade judaica local, estabelecida na região por conta do comércio a retalho que teve seu auge durante o Ciclo da Borracha. Com o fim deste, o êxodo de grande parte das famílias praticantes do judaísmo, a consequente desestruturação desta comunidade e a conversão dos remanescentes ao cristianismo, o cemitério entrou em desuso. As lápides, em sua maioria escritas em hebraico, perderam significado com a morte dos mais velhos ainda falantes do idioma. O trabalho aqui apresentado envolveu a limpeza do espaço cemiterial e dos túmulos, o registro gráfico e fotográfico do espaço, a tradução das suas lápides e a recolha de informações orais junto à comunidade com o objetivo de resgatar parte da memória do espaço e da comunidade à qual ele servia. O estudo revelou aspectos inéditos da Antropologia Funerária de uma comunidade judaica na Amazônia e do seu esforço na manutenção das tradições hebraicas apesar do isolamento.

Medico-administrative data combined with agricultural practices data to retrospectively estimate pesticide use by agricultural workers.

This work is part of a global project aiming to use medico-administrative big data from the whole French agricultural population (~3 millions), collected through their mandatory health insurance system (Mutualité Sociale Agricole), to highlight associations between chronic diseases and agricultural activities. At the request of the French Agency for Food, Environmental and Occupational Health & Safety (ANSES), our objective was to estimate which pesticides were probably used by each agricultural worker, in order to include this information in our analyses and search for association with diseases. We selected five databases to achieve this objective: the Graphical Land Parcel Registration (RPG), the French Agricultural Census, "Cultivation Practice" surveys from the Agriculture ministry, the MATPHYTO crop-exposure matrix and the Compilation of Phytosanitary Indexes from the French Public Health Agency. A geographical grid was designed to use geographical location while maintaining worker anonymity, dividing France into square tracts of variable surface each containing a minimum of 1500 agricultural workers. We developed an automated algorithm to predict each individual potential exposure by crossing her/his occupational activity, the geographical grid and the RPG to deduce cultivation practices and use it as a gateway to estimate pesticides use. This approach allowed drawing, from administrative data, a list of substances potentially used by each agricultural worker throughout France. Results of the algorithm are illustrated at collective level (descriptive statistics for the whole population), as well as at individual level (some workers taken as examples). The generalization of this method in other national contexts is discussed. By linking this information with the health insurance databases, this approach could contribute to the agricultural workers health surveillance.

Semiotic Representations of the Linear Function by Students Studying Administration

Mathematical tools allow us to clearly explain the phenomenon studied in administrative science. Various studies have shown that linear function is a concept, widely used in administration, as well as in other kinds of science, but difficult for students to grasp and assimilate as a tool in their studies. That is the reason that the objective of the present project was to determine the difficulties faced by students of administration in learning the concept of the linear function, based on the theoretical elements of Raymond Duval’s registers of semiotic representation, to identify areas of opportunity in the teaching/learning process of this mathematical concept. Therefore, we designed an instrument made up of eight situations, which altogether consist of 24 problems. This instrument was validated by three experts in the area. Later, in keeping with the nature of the data to be collected, the instrument was given to a small randomly chosen sample group of six students studying under-graduate level administration and who were taking the subject of Mathematics for Business I. Students had the most difficulty in dealing with the registry of graphic representation and the cognitive activity of conversion between graphic and algebraic registers. It was also discovered that apparently context problems favored the latter conversion activity. We recommend these findings be further studied in a didactic approach to the issue, as well as carrying out studies of this nature on other mathematical objects in the course.

Las aprehensiones en el registro gráfico para el estudio de la derivada parcial

The objective of this article is to present an extension of the Duval study in relation to the apprehensions in the graphic register of a function of two variables, to analyze a didactic situation and to investigate the articulations of the apprehensions in the study of the partial derivative. Its relevance in the teaching-learning of the Differential Calculus of two variables is wide, since the information that the graph provides is important for the construction of knowledge of functions of two variables. Our research is qualitative, specifically, aspects of the didactic engineering of Michele Artigue. It was found that the articulation of the apprehensions in the graphic registry, mediated by the Mathematica software, allowed the students to conjecture properties, apply them in optimization problems and adapt to solve these problems geometrically.

Spectral analysis of sphygmogram

Actuality. The heart system executes the important role in the organism. It is important task of medicine to diagnose of the state of this system. Electrocardiogram is the one of methods of control its state. Cardiointervalgram is another way of study of the state of the heart system. I studies the change of rhythm of heart as reaction of organism on external influences. Sphygmografia is the method of graphic registration of pulses vibrations of vessels, allowing to judge about their resiliently-viscid properties. The method of registration is used by a pair light-emitting diode and photo-diode. A signal, which is forming is due to the change of volume of blood in the place of indication. The most comfortable place for the location of sensor is the finger of Purpose of work. The spectral analysis of the sphygmogram impulses gives the information about heart system. The spectrum of sphygmogram of healthy man is wider. Numeral coefficients, which are characterizing correlation high and low frequencies, are offered. This was offered to analysis the spectrum of signal from the optical sensor, which is containing information by the of impulses and cardiountervals. These signals contain more information, than cardiointervalgram and single impulse of sfigmogram only. Methods. The spectrums of signals from the optics-electronic sensor was analyzed by computer methods. Results. The spectrum of cardiointervalgram contains information about the slow waves of heart work. The spectrum of sphygmogram contains information about frequency of heart work and about higher frequencies also. Conclusion. The analysis of heart work was made by the spectrum of cardiointervalgram and on the spectrum of sphygmogram. The second method allows to obtain more information about health of man.

Trayectorias de aprendizaje del concepto de recta tangente en alumnos de Bachillerato

El objetivo de esta investigación es caracterizar trayectorias de aprendizaje del concepto de recta tangente en estudiantes de Bachillerato en un experimento de enseñanza. Se considera un modelo de progresión del aprendizaje del concepto de recta tangente que usa la idea de linealidad local (concepción leibniziana) para apoyar la transición desde la concepción euclídea hasta la concepción cartesiana. Identificamos tres trayectorias de aprendizaje caracterizadas por dos aspectos: i) la relación entre los registros gráfico y analítico que permite progresar desde la concepción euclídea a la cartesiana vía la concepción leibniziana, y ii) la aproximación al valor de una función en el entorno del punto de tangencia mediante la recta tangente. Los resultados obtenidos sugieren que la interiorización de la concepción leibniziana es necesaria para superar el obstáculo epistemológico que supone la concepción euclídea para el aprendizaje del concepto de recta tangente.

Exploiting multi-core and GPU hardware to speed up the registration of range images by means of Differential Evolution

Within this paper a general-purpose distributed evolutionary algorithm is presented, and is applied to the pair-wise registration of range images. Registration is carried out by utilizing the Grid Closest Point (GCP) for the graphical registration operations and the distributed algorithm to search for the best possible transformation of a scene image that, merged with the model image, yields a 3D reconstruction of the original object. The evolutionary algorithm is a distributed Differential Evolution algorithm that exploits an asynchronous migration mechanism and a multi-population recombination information exchange. Such an algorithm is provided with an adaptive updating scheme based on chaotic features for dynamically updating the control parameters.The scope of the paper is to speed up the registration process by using processor specialized to handle graphical operations and multi-core platforms. On the one hand, we investigate the use of either Graphic Processing Units (GPUs) or multi-core architectures to lower the execution time of the GCP procedure. On the other hand, we evaluate the performance of the distributed evolutionary algorithm in terms of solution quality by examining different multi-core architectures.Experimental results on a set of publicly available images show that, to perform the GCP, reductions in the execution times by one order of magnitude are obtained by harnessing the computational power of GPU and multi-core platforms with respect to the execution on a CPU-based framework. Furthermore, a comparison with the state-of-the-art sequential evolutionary algorithm for range image registration reveals that the adaptive distributed Differential Evolution algorithm allows attaining integral 3D models from 3D scan datasets that are better in terms of both quality and robustness.

Una secuencia didáctica para favorecer la conversión de representaciones semióticas de curvas y regiones del plano complejo

En este trabajo se presentan la descripción, y los resultados de la implementación de una secuencia didáctica orientada a favorecer la habilidad de efectuar conversiones de representaciones de curvas y regiones del plano complejo, desde el registro gráfico al registro algebraico. Se detallan las variables de conversión que regulan los niveles de complejidad en estas actividades cognitivas, que determinaron la estructura de la secuencia didáctica presentada. Esta fue implementada con un grupo de estudiantes de la asignatura Álgebra de primer año de la Facultad de Ingeniería de la Universidad Nacional de Mar del Plata, Argentina. Se evaluó el impacto de la intervención didáctica realizada y se obtuvieron resultados satisfactorios, no solo sobre las conversiones a las que buscó específicamente contribuir, sino también en prácticas matemáticas que requieren otras actividades semióticas vinculadas a representaciones de números complejos en los dos registros considerados.