Chemometrics is gaining more and more space in universities and industry. To contribute to the development and expansion of principal component analysis (PCA) teaching proposals, this work evaluated the answers of the students to a questionnaire and presented a didactic-pedagogical proposal that can contribute to solving the principal doubts achieved by students in the PCA interpretation. Based on data collected in a semi-open questionnaire, the proposal was developed based on methodological principles of historical-critical pedagogy, containing the objectives, the problems surrounding the topic, and the cultural instruments necessary for understanding and interpreting PCA in the discipline of chemometrics by using new resources and instruments, especially free software, Chemostat. This proposal covers topics related to the concept of chemometrics and PCA, the explanation of the data set, pre-processing, use of Chemostat software, and analysis of principal components. It is hoped that this proposal can promote a better understanding concerning PCA on the part of students, as well as effective incorporation of the phenomena that involve this tool and its applications, and interpretation. Likewise, it is expected that this didactic-pedagogical proposal can support new teaching practices in chemometrics subjects in higher education. industry (PCA proposals didacticpedagogical didactic pedagogical interpretation semiopen semi open historicalcritical historical critical pedagogy objectives topic software set preprocessing, preprocessing pre processing, processing pre-processing components applications Likewise education

Resumen (Objetivo) El objetivo de este estudio es caracterizar tareas matemáticas evaluadas en exámenes, centrándose en rasgos didácticos relacionados con el significado de los contenidos matemáticos que tratan y con aspectos cognitivos. Así como describir la evolución de estos rasgos a través del tiempo. (Metodología) En este estudio descriptivo longitudinal se llevó a cabo un análisis de contenido de 568 tareas matemáticas evaluadas en 51 exámenes, a lo largo de 17 periodos lectivos consecutivos entre 2014 y 2022. El análisis se realizó en el contexto de un curso de Cálculo Diferencial e Integral impartido en una universidad en Costa Rica. La información se organizó e interpretó utilizando un sistema de siete variables relacionadas con rasgos didácticos propios del análisis de tareas matemáticas escolares. (Resultados) Las tareas matemáticas evaluadas se distinguen por variedad de contenidos y predominio de representación verbal-simbólica, situación científica exclusivamente matemática y demanda cognitiva a nivel de procedimientos sin conexiones. El predominio de las situaciones científicas exclusivamente matemáticas fue constante a lo largo del tiempo. Mientras que, a partir de cierto periodo, la representación verbal-simbólica y los procedimientos sin conexiones tendieron a disminuir a favor de la representación múltiple y de los procedimientos con conexiones. (Conclusiones) Las tareas matemáticas evaluadas reflejan parcialmente rasgos relacionados con el significado de los contenidos matemáticos y con aspectos cognitivos esenciales para el aprendizaje del cálculo. La evolución a lo largo del tiempo muestra que se ha progresado en ciertos rasgos, aunque en otros todavía existe un amplio margen de mejora.

Resumo (Objetivo) O objetivo deste estudo é caracterizaras tarefas matemáticas avaliadas em provas, concentrando-se em características didáticas relacionadas ao significado do conteúdo matemático abordado e aos aspectos cognitivos. Assim como descrever a evolução dessas características ao longo do tempo. (Metodologia) Neste estudo descritivo longitudinal, foi realizada uma análise de conteúdo de 568 tarefas matemáticas avaliadas em 51 provas durante 17 períodos letivos consecutivos entre 2014 e 2022. A análise foi realizada no contexto de um curso de Cálculo Diferencial e Integrl ministrado em uma universidade da Costa Rica. As informações foram organizadas e interpretadas por meio de um sistema de sete variáveis relacionadas a características didáticas típicas da análise de tarefas matemáticas escolares. (Resultados) As tarefas matemáticas avaliadas se distinguem pela variedade de conteúdo e predominância de representação verbal-simbólica, situação científica exclusivamente matemática e demanda cognitiva no nível de procedimentos sem conexões. A predominância de situações científicas exclusivamente matemáticas foi constante ao longo do tempo. Ao passo que, depois de um certo período, a representação verbal-simbólica e os procedimentos sem conexões tenderam a diminuir em favor da representação múltipla e dos procedimentos com conexões. (Conclusões) As tarefas matemáticas avaliadas refletem parcialmente características relacionadas ao significado do conteúdo matemático e aos aspectos cognitivos essenciais para o aprendizado de cálculo. A evolução ao longo do tempo mostra que houve progresso em determinadas características, embora em outras ainda haja muito espaço para melhorias.

Abstract (Objective) This study seeks to characterize mathematical tasks assessed in exams, with a focus on didactic features related to the meaning of the mathematical content they address, and their cognitive aspects. Additionally, it aims to describe the evolution of these features over time. (Methodology) In this longitudinal descriptive study, a content analysis of 568 mathematical tasks from 51 exams was conducted over 17 consecutive academic periods between 2014 and 2022. The analysis was conducted within the context of a Differential and Integral Calculus course taught at a university in Costa Rica. Information was organized and interpreted using a system of seven variables related to didactic features specific to the analysis of school-level mathematical tasks. (Results) The assessed mathematical tasks stand out for their variety of content and a predominance of verbal-symbolic representation, exclusively mathematical scientific situations, and cognitive demand at the level of procedures without connections. The predominance of exclusively mathematical scientific situations remained constant over time. However, from a certain point onwards, there was a tendency for verbal-symbolic representation and procedures without connections to decrease in favor of multiple representations and procedures with connections. (Conclusions) The assessed mathematical tasks partially reflect features related to the meaning of mathematical content and cognitive aspects essential for learning calculus. The evolution over time indicates progress in several features, although there is still ample room for improvement in others.

Resumen (Objetivo) Aunque el uso de vídeos de aula no es un tópico novedoso en la formación inicial del profesorado de educación matemática infantil, todavía hay preguntas de investigación sin resolver asociadas, sobre todo, a criterios para seleccionar y analizar vídeos desde un enfoque didáctico y disciplinar. Desde esta perspectiva, la finalidad del artículo es diseñar y validar una rúbrica que sirva para este doble propósito. (Metodología) A partir de un paradigma de investigación cualitativo, se ha seguido un proceso 4x3, es decir, un método secuenciado en cuatro fases con tres pasos en cada una de ellas: 1) revisión, 2) creación, 3) contraste y evaluación, y 4) mejora. (Resultados) La versión definitiva de la rúbrica, denominada R4, consta de 28 ítems organizados en cuatro dimensiones: 1) rol docente, sobre la función que tiene cada docente en el aula; 2) respuesta del alumnado infantil en la tarea, sobre su actuación; 3) relaciones matemáticas, sobre el tipo de matemática; 4) recursos, sobre la gestión y uso de recursos-materiales humanos. Para cada dimensión se considera diversas subdimensiones, en total 16. (Conclusiones) Se concluye que la rúbrica R4 aborda aspectos fundamentales (rol docente, respuesta del alumnado infantil, relaciones matemáticas y recursos) en la labor docente de una maestra o maestro de educación infantil, lo cual permite analizar la práctica docente de un modo holístico y fundamentado.

Resumo (Objetivo) Embora o uso de vídeos em sala de aula não seja um tópico novo na formação inicial de professores de matemática da educação infantil, ainda há questões de pesquisa não resolvidas associadas, sobretudo, aos critérios de seleção e análise de vídeos a partir de uma abordagem didática e disciplinar. A partir dessa perspectiva, o objetivo do artigo é projetar e validar uma rubrica que atenda a essa dupla finalidade. (Metodologia) Com base em um paradigma de pesquisa qualitativa, foi seguido um processo 4x3, ou seja, um método sequenciado em quatro fases com três etapas em cada uma delas: 1) revisão, 2) criação, 3) contraste e avaliação, e 4) aprimoramento. (Resultados) A versão final da rubrica, denominada R4, consiste em 28 itens organizados em quatro dimensões: 1) papel do professor, sobre a função que cada professor tem na sala de aula; 2) resposta dos alunos à tarefa, sobre seu desempenho; 3) relações matemáticas, sobre o tipo de matemática; 4) recursos, sobre o gerenciamento e o uso de recursos humanosmateriais. Para cada dimensão são consideradas diversas subdimensões, totalizando 16. (Conclusões) Conclui-se que a rubrica R4 aborda os principais aspectos (função do professor, resposta dos alunos da educação infantil, recursos e relações matemáticas) no trabalho de ensino de um professor da educação infantil, o que permite uma análise holística e informada da prática de ensino.

Abstract (Objective) Although the use of classroom videos is not a new topic in the initial training of early childhood mathematics education teachers, there are still unresolved research questions associated, above all, with criteria for selecting and analyzing these videos from both a didactic and disciplinary approach. From this perspective, the purpose of this article is to design and validate a rubric that serves this dual purpose. (Methodology) Based on a qualitative research paradigm, a 4x3 process has been followed, that is, a method sequenced in four phases with three steps in each one of them: 1) Review; 2) Creation; 3) Contrast and Evaluation; and 4) Improvement. (Results) The final version of the rubric, called R4, consists of 28 items organized in four dimensions: 1) Teaching role, on the role of the teacher in the classroom; 2) Response of children in the task to his/her performance; 3) Mathematical relations, on the type of mathematics; 4) and Resources, on the management and use of human resources and materials. For each dimension, several subdimensions are considered, 16 in total. (Conclusions) It is concluded that the R4 rubric addresses fundamental aspects (Teaching role, Childrens’ response, Mathematical relations and Resources) in the teaching work of an early childhood education teacher, which allows analyzing the teaching practice in a holistic and justified way.

Resumen (Objetivo) En este articulo se describe el proceso de elaboración de una Guia de valoración de la idoneidad didáctica de un proceso de estudio del concepto de diferencial de una función. El objetivo que se persigue es proponer un instrumento que promueva, oriente y apoye el análisis y la reflexión del profesorado en torno a los procesos de enseñanza y aprendizaje del concepto de diferencial. (Metodologia) El metodo de investigación empleado es el análisis de contenido y toma como punto de partida la revision sistematica de los conocimientos didactico-matematicos en investigaciones claves. El análisis esta orientado por las dimensiones o facetas que intervienen en un proceso educativo: epistémica, cognitiva, afectiva, instruccional y ecologica cuyos componentes y criterios se fundamentan en noción de idoneidad didáctica propuesta por el enfoque ontosemiotico del conocimiento y la instrucción matemáticos (EOS). (Resultados) La construccion de la Guia de valoración de la idoneidad didáctica introduce una metodologia para la reconstruccion del significado de referencia para el estudio de la diferencial en sus diversas facetas. Ademas, esta guía representa una herramienta potente para el profesor en el momento del diseño, implementación y valoración de procesos de estudio teniendo en cuenta los diversos significados de la diferencial, sus conexiones, sus potenciales conflictos semióticos y sus relaciones con otros conceptos. (Conclusiones) En línea con el marco teorico de referencia, se concluye que su uso idoneo permitiria al profesor tomar decisiones didácticas argumentadas sobre la propia gestión del proceso didactico teniendo en cuenta el contexto educativo.

Resumo (Objetivo) Este artigo descreve o processo de elaboração de um guia para avaliar a adequação didatica de um processo a fim de estudar o conceito de diferencial de uma função. O objetivo buscado e propor um instrumento que promova, oriente e apoie a analise e a reflexão dos professores sobre os processos de ensino e aprendizagem do conceito de diferencial. (Metodologia) O metodo de pesquisa utilizado e a analise de conteúdo e tem como ponto de partida a revisão sistematica do conhecimento didatico-matematico em pesquisas-chave. A analise esta norteada pelas dimensões ou facetas que intervêm em um processo educacional: epistêmica, cognitiva, afetiva, instrucional e ecologica cujos componentes e criterios se baseiam na noção de adequação didatica proposta pela abordagem ontosemiotica do conhecimento e da instrução matematica (EOS). (Resultados) A construção do Guia de avaliação da adequação didatica introduz uma metodologia para a reconstrução do significado de referência para o estudo da diferencial em suas varias facetas. Alem disso, esse guia representa uma ferramenta poderosa para o professor ao projetar, implementar e avaliar processos de estudo, levando em conta os diferentes significados da diferencial, suas conexões, seus possiveis conflitos semioticos e suas relações com outros conceitos. (Conclusões) De acordo com o marco teorico de referência, conclui-se que seu uso ideal permitiria que o professor tomasse decisões didaticas fundamentadas sobre a propria gestão do processo didatico, considerando o contexto educacional.

Abstract (Objective) This article describes the process of preparing a Guide for the Assessment of Didactic Suitability of a process for studying the concept of the differential of a function. The objective of this exercise was to propose an instrument to promote, guide and support teachers’ analysis of, and reflection on, teaching and learning processes of the differential concept. (Methodology) The research method used was content analysis, and its starting point was a systematic review of didactic-mathematical knowledge in key research. The analysis was guided by the dimensions or facets that characterize an educational process - epistemic, cognitive, affective, instructional and ecological - whose components and criteria are based on the notion of didactic suitability proposed in the Onto-semiotic Approach to Mathematical Knowledge and Instruction (OSA). (Results) The construction of the Didactic Suitability Assessment Guide introduced a methodology for the reconstruction of the reference meaning for the study of various facets of the differential. In addition, this guide represents a powerful tool for teachers at the time of designing, implementing. and evaluating study processes, taking into account the various meanings of the differential, its connections, its potential semiotic conflicts and its relationships with other concepts. (Conclusions) In line with the theoretical reference framework, it is concluded that its ideal use would allow teachers to make informed decisions about management of the didactic process, taking into account its educational context.

ABSTRACT As a result of the COVID 19 pandemic, a set of modifications were implemented in the way it was taught. Higher education institutions in Chile were not immune to this phenomenon, and to this scenario was added a set of trends that had already been raising the need to review didactics, in terms of what and how it is taught. Different initiatives led to the development and implementation of didactic strategies that sought to solve the challenges faced by the educational system. Even though innumerable articles referring to the implementation of these didactic innovations have appeared, the evidence regarding the impact of their adaptations remains scarce. The objective of this research is to evaluate the impact of the use of the Case Method on the academic performance of the students of the calculus subject of the Business Administration Engineering degree at a Chilean higher education institution in an online context. through a difference-in-differences model using control groups generated with the Propensity Score Matching technique. The results show a positive and statistically significant effect on student grades.

RESUMEN Producto de la pandemia de COVID 19 se implementaron un conjunto de modificaciones en la forma cómo se enseñaba. Las instituciones de educación superior en Chile no estuvieron ajenas a ese fenómeno, y a este escenario se sumó un conjunto de tendencias que ya venían planteando la necesidad de revisar la didáctica, en cuánto al qué y al cómo se enseña. Diferentes iniciativas llevaron al desarrollo e implementación de estrategias didácticas que buscaron resolver los desafíos que enfrentaba el sistema educativo. Aun cuando han surgido innumerables artículos referidos a la implementación de estas innovaciones didácticas, la evidencia respecto del impacto de sus adaptaciones permanece escasa. El objetivo de la presente investigación es evaluar el impacto del uso del Método del Caso en el rendimiento académico de los estudiantes de los estudiantes de la asignatura de cálculo de la carrera Ingeniería en Administración de Empresas de una institución de educación superior chilena en un contexto online mediante un modelo de diferencias en diferencias usando grupos de control generados con la técnica de Propensity Score Matching. Los resultados muestran un efecto positivo y estadísticamente significativo en las calificaciones de los estudiantes.

Abstract: The Linguistic Landscape, a relatively recent area of research, deals with the visible written form of languages in public space. The methodology of data collection involves photographing and documenting the distinct types of support, languages and their functions in urban space. Linguistic Landscape research usually considers the simultaneous presence of several languages or varieties and their relation to each other. However, within the so-called Spot German approach, not necessarily used for academic purposes, data collection can be carried out for a specific purpose, without documenting all visible signs. In this article, I discuss the characteristics, definitions, and differences between the approaches and briefly present the possible sources of data collection based on research conducted in different countries. In addition, I present as an example of application the case of the German language in its relation to the space near a German school and its influence on the linguistic landscape of the city in which it is located. Finally, I present pedagogical possibilities for exploring the linguistic landscape in language teaching, as it offers the opportunity to investigate the relationship of the city and people with the languages in their surroundings, as well as presenting numerous entries for didactic exploration. Abstract support other However socalled so called approach purposes purpose signs article characteristics definitions countries addition located Finally teaching surroundings exploration

Resumo: A Paisagem Linguística, área de pesquisa relativamente recente, trata da forma escrita das línguas visível no espaço público. A metodologia de coleta de dados engloba fotografar e documentar os diferentes tipos de suporte, de línguas e suas funções no espaço urbano. As pesquisas em Paisagem Linguística geralmente consideram a presença simultânea de várias línguas ou variedades e sua relação umas com as outras, porém, dentro da abordagem denominada Spot German , não necessariamente utilizada com fins acadêmicos, a coleta de dados pode ser realizada com um objetivo específico, sem documentação de todos os sinais visíveis. Assim, neste artigo, discorro sobre as características, definições e diferenças entre as abordagens e apresento brevemente as possíveis fontes de coleta de dados com base em pesquisas realizadas em diversos países. Além disso, trago como exemplo de aplicação a língua alemã em sua relação com o espaço próximo a um colégio alemão e sua possível influência na paisagem linguística da cidade na qual se encontra. Por fim, apresento possibilidades pedagógicas para explorar a paisagem linguística no ensino de línguas, que oferece oportunidade de investigar a relação da cidade e das pessoas com as línguas do entorno, da mesma forma que apresenta inúmeras entradas para exploração didática. Resumo recente público suporte urbano outras porém acadêmicos específico visíveis Assim artigo características países disso encontra fim entorno didática

Resumen La moderna Sociedad del Conocimiento percibe una innovadora característica basada en manejar los contenidos curriculares, potenciando el pensamiento lógico matemático por medio de plataformas y aplicaciones digitales. El objetivo del presente trabajo se centraliza en analizar estrategias didácticas aplicadas por docentes para potenciar las habilidades matemáticas en los estudiantes del nivel de Bachillerato General Unificado dentro de la Unidad Educativa “Eidan Abel Erique Cercado” del cantón San Vicente. El aspecto metodológico se basó en el enfoque mixto, empleando como instrumento primordial una prueba pedagógica que mide las destrezas del pensamiento numérico, así como los indicios de una entrevista semi estructurada y los aportes de docentes del área de matemáticas como participantes dentro de un grupo focal. Se comprobó la predisposición para un trabajo orientado bajo la plataforma Khan Academy, necesaria para beneficiar las habilidades del pensamiento numérico poco perfeccionadas en el estudiante. Finalmente, se denotaron aquellas estrategias empleadas por los docentes las cuales no afirman una estimulación consistente para potenciar las habilidades numéricas, demostradas bajo un nivel poco aceptable en el afianzamiento de la resolución de problemas con enfoque matemático en los estudiantes.

Abstract The modern knowledge society perceives an innovative characteristic based on managing curricular contents, promoting mathematical logical thinking through digital platforms and applications, the purpose of this work is focused on determining the existing perception with the use of the Khan Academy platform in the mathematical skills and how teachers focus didactic strategies to enhance mathematical skills in students of the Unified General Baccalaureate level within the "Eidan Abel Erique Cercado" Educational Unit of the San Vicente canton. The methodological aspect was based on the paradigm of the mixed approach, using as a primary instrument a pedagogical test that measures the skills of numerical thinking, as well as the indications of a semi-structured interview and the contributions of teachers in the area of mathematics as participants within a focus group. The predisposition for a work oriented under the Khan Academy platform, necessary to benefit the slightly improved numerical thinking skills in the student, was verified. Finally, those strategies used by teachers were denoted which do not affirm a perennial stimulation to enhance numerical skills, demonstrated under an unacceptable level in the consolidation of problem solving with a mathematical approach in students.

ABSTRACT The development of basic motor skills in children with attention deficit and hyperactivity disorder is studied and the objective was to design and validate an inclusive teaching strategy in an educational unit in Ecuador, using a mixed and pre-experimental methodology. An intentional and stratified non-probabilistic sampling was used, with inclusion criteria, the sample was made up of five children with attention deficit and hyperactivity disorder, in their class group, and their Physical Education teacher. The measurement of the inclusion-attention variables of the disorder with an educational approach and the development of basic motor skills was carried out using eight indicators, with the use of an observation guide, documentary analysis, and supported by the simple scoring technique to group the observed data. As a result, an inclusive didactic strategy is presented for the development of basic motor skills in children with attention deficit and hyperactivity disorder during Physical Education classes, designed through the structural and functional systemic approach that showed its effectiveness in the educational practice, when comparing the results of the pre- and post-test, through the non-parametric test of signs.

RESUMO Estuda-se o desenvolvimento de habilidades motoras básicas em crianças com transtorno de déficit de atenção e hiperatividade e o objetivo foi desenhar e validar uma estratégia de ensino inclusiva em uma unidade educacional no Equador, utilizando uma metodologia mista e pré-experimental. Foi utilizada uma amostragem não probabilística, intencional e estratificada, com critérios de inclusão, a amostra foi composta por cinco crianças com transtorno de déficit de atenção e hiperatividade, em seu grupo, turma, e seu professor de Educação Física. A mensuração das variáveis inclusão-atenção do transtorno com abordagem educativa e desenvolvimento de habilidades motoras básicas foi realizada por meio de oito indicadores, com uso de guia de observação, análise documental e apoiado na técnica de pontuação simples para agrupar os dados observados. Como resultado, apresenta-se uma estratégia didática inclusiva para o desenvolvimento de habilidades motoras básicas, em crianças com transtorno de déficit de atenção e hiperatividade, durante as aulas de Educação Física, desenhada através da abordagem sistêmica estrutural e funcional que mostrou sua eficácia na prática educativa, ao comparar os resultados do pré e pós-teste, por meio do teste não paramétrico de sinais.

RESUMEN Se estudia el desarrollo de habilidades motrices básicas en niños con trastorno por déficit de atención e hiperactividad y se planteó como objetivo diseñar y validar una estrategia didáctica inclusiva en una unidad educativa del Ecuador, con el empleo de una metodología mixta y pre experimental. Se utilizó un muestreo no probabilístico, intencional y estratificado, con criterio de inclusión, la muestra la conformaron cinco niños con trastorno por déficit de atención e hiperactividad, en su grupo, clase, y su docente de Educación Física. La medición de las variables inclusión-atención del trastorno con enfoque educativo y el desarrollo de habilidades motrices básicas, se realizó mediante ocho indicadores, con el empleo de una guía de observación, el análisis documental, y apoyada en la técnica de tarjado simple para agrupar los datos observados. Como resultado se expone una estrategia didáctica inclusiva para el desarrollo de las habilidades motrices básicas, en niños con trastorno por déficit de atención e hiperactividad, durante las clases de Educación Física, diseñada a través del enfoque sistémico estructural y funcional que mostró su efectividad en la práctica educativa, al comparar los resultados del pre- y postest, por medio de la prueba no paramétrica de los signos.

This study examines the influence of using and creating podcasts on students' anxiety levels and their English-speaking skills. The study, conducted with eleventh-grade students in a private school in Chile during 2021–2022, utilized a podcast plan model within the action research methodology. Data collection involved the use of the Foreign Language Classroom Anxiety Scale (FLCAS) to measure students’ anxiety levels, a rubric to assess the quality of their English-speaking skills when using podcasts, and a semi-structured interview. The key findings reveal that the use and creation of podcasts positively influence language learning, leading to reduced anxiety levels and improved pronunciation and fluency in students' speaking skills. Importantly, the process of creating podcasts fosters a sense of collaboration among students, highlighting the interconnected nature of their learning experiences. The study underscores the importance of affective factors such as motivation, self-confidence, and anxiety in learning a foreign language, and emphasizes the need for the teaching and learning process to prioritize the development of communication skills.

El presente trabajo analiza el efecto del uso y creación de podcasts en los niveles de ansiedad de estudiantes en la producción oral del idioma inglés. El estudio fue desarrollado en un colegio particular de Chile con estudiantes de tercer año de enseñanza media en el periodo 2021-2022. La investigación se enmarcó en la metodología de Investigación-Acción, bajo el modelo de trabajo en podcast. Para la recolección de datos se utilizó el cuestionario Foreign Language Classroom Anxiety Scale FLCAS para medir los niveles de ansiedad; una rúbrica para determinar calidad de la producción oral en inglés con el uso del podcast y entrevistas semiestructuradas. Los principales resultados evidencian que el uso del podcast tiene efectos positivos en el aprendizaje del idioma, el cual reduce los niveles de ansiedad, mejora la pronunciación y la fluidez de la producción oral de los estudiantes, además la creación de podcasts fomenta el aprendizaje autónomo y colaborativo entre los estudiantes. La relevancia del estudio da cuenta del rol de los factores afectivos como la motivación, autoconfianza y ansiedad en el aprendizaje de una lengua extranjera; reiterando que el proceso de enseñanza-aprendizaje debe estar enfatizado en el desarrollo de las habilidades comunicativas.

ABSTRACT Foundation: teaching strategies to promote autonomous learning are cognitive and affective strategies that facilitate: learning to learn, learning to do and learning cooperatively, to establish relationships with peers and achieve health well-being. Objective: determine the level of implementation of teaching strategies to achieve autonomous learning and its impact on the health of students at a private university in Lambayeque. Methods: a research was carried out with a quantitative approach, descriptive, cross-sectional and quasi-experimental design (before-after study). The sample was obtained through non-probabilistic convenience sampling with 390 students according to the inclusion criterion. Two variables were evaluated in their corresponding dimensions. For the statistical analysis, the IBM SPSS Statistics V.25 program was used. Results: for the variable, Teaching strategies, both in the pre-test and in the post-test, the majority rated it as: it always has an impact on mental health. Regarding the variable, Autonomous Learning, there was an increase in the rating for the option always, of 2.4 %, while in: sometimes, there was a decrease of 1.7 % and in: never, of 1.8 %, which showed the impact on the health of the students. Conclusions: teaching strategies were used to promote autonomous learning that allowed students to: select, organize, process and elaborate information; likewise, to develop motivation and self-regulation for awareness and control of their learning and improve mental health, by reducing stress levels.

RESUMEN Fundamento: las estrategias didácticas para fomentar el aprendizaje autónomo son las estrategias cognitivas y afectivas que facilitan: aprender a aprender, aprender a hacer y aprender de forma cooperativa, para establecer la relación con sus pares y lograr el bienestar de la salud. Objetivo: determinar el nivel de implementación de las estrategias didácticas para lograr el aprendizaje autónomo y su repercusión en la salud de estudiantes de una universidad privada de Lambayeque. Métodos: se realizó una investigación con un enfoque cuantitativo, de tipo descriptiva, transversal y diseño cuasi experimental (estudio de antes-después). La muestra se obtuvo mediante muestreo no probabilístico por conveniencia con 390 estudiantes según el criterio de inclusión. Se evaluaron dos variables en sus dimensiones correspondientes. Para el análisis estadístico se empleó el programa IBM SPSS Statistics V.25. Resultados: para la variable, Estrategias didácticas, tanto en el pre-test como en el post-test, la mayoría la calificó como: siempre repercute en la salud mental. Con respecto a la variable, Aprendizaje autónomo, hubo un incremento en la calificación para la opción siempre, de 2,4 %, mientras que en: a veces, hubo una disminución del 1,7 % y en: nunca, el 1,8 %, mostraron la repercusión en la salud de los estudiantes. Conclusiones: se utilizaron estrategias didácticas para fomentar el aprendizaje autónomo que permitieron a los estudiantes: seleccionar, organizar, procesar y elaborar la información; de igual forma, para desarrollar la motivación y autorregulación para la toma de conciencia y control de su aprendizaje y mejorar la salud mental, al disminuir los niveles de estrés.

The political and social environments in which learners with disabilities live often cause more limitation on the individual abilities of these learners than the disability itself (Capri et al., 2018:2). Likewise, mathematical thinking for learners who are severely mentally disabled is often limited to concretisation or memorisation, which tends to undermine mathematical number sense. This study was undertaken against the background of a lack of methodological guidelines for the teaching of mathematics in the new adapted curriculum for learners who are severely intellectually disabled. Context-rich mathematics tasks for the development of mathematical thinking in learners who are severely intellectually disabled were used during the study. A qualitative research approach was followed in which empirical data were generated through three action research cycles. Data were collected through in-depth discussions, field notes, a literature review and learner work. Vygotsky's (1978:6) sociocultural theory was used as a theoretical framework because it highlights the importance of social interactions and mediated learning. The Reality, Abstraction, Mathematics and Reflection (RAMR) framework of Cooper and Carter (2016:177) is used as a didactic framework for a practical approach to mathematics education in the study. According to the data from in-depth discussions with five educators, learners with intellectual disability are perceived to have limited number sense knowledge. These educators also indicated that their choice of learning tasks only included number facts, arithmetic fluency, memorisation, and teaching with concrete apparatus. Data from the in-depth discussions with two mathematics subject advisors working in special education pointed out educators'limited didactical knowledge for teaching mathematics to learners who are severely intellectually disabled. Based on these data, a teaching intervention was designed and implemented for six months. The purpose was to investigate the effect on participation and learning of changing the researcher's practice to focus on mathematical reasoning in context rich tasks. The lived experiences of the ten learners who were involved in the teaching intervention were included as a background to mathematics problems to design context-rich tasks. The guidelines from the research entail that real-life contexts in which mathematical problem types are embedded are conducive to learning experiences that are rich in discussion for learners who are severely intellectually disabled. Such an approach has the potential to make mathematics more meaningful to learners who are severely intellectually disabled, improve their mastery of contexts, and develop critical thinking. Findings from the action research process can be adapted to similar mathematics teaching practices.

Die politiese en sosiale omgewings waarin leerders met gestremdhede leef, veroorsaak dikwels meer beperking van die individuele vermoëns van dié leerders as die gestremdheid self (Capri et al., 2018:2). Eweneens word wiskundige denke vir leerders wat verstandelik erg gestremd is dikwels tot konkretisering en memorisering beperk, wat neig om begrip te ondermyn. Hierdie studie is onderneem teen die agtergrond van 'n tekort aan metodologiese riglyne vir die onderrig van wiskunde in die nuwe aangepaste kurrikulum vir leerders wat verstandelik erg gestremd is. Konteksryke wiskundetake ter ontwikkeling van wiskundige denke by leerders wat verstandelik erg gestremd is, is tydens die studie gebruik. 'n Kwalitatiewe navorsingsbenadering is gevolg waarin empiriese data gegenereer is deur middel van drie aksienavorsingsiklusse. Data is deur semi-gestruktureerde fokusgroep-onderhoude, veldnotas, 'n literatuuroorsig en leerderwerk ingesamel. Die literatuuroorsig is onderneem om 'n onderrig- en teoretiese raamwerk vir die studie te skep. Vygotsky (1978:6) se sosiokulturele teorie is as teoretiese raamwerk gebruik omdat dit die belangrikheid van sosiale interaksies en bemiddelde leer uitlig. Die Realiteit, Abstraksie, Wiskunde en Refleksie (RAWR)-onderrigraamwerk van Cooper en Carter (2016:177) word as didaktiese raamwerk vir 'n praktiese aanslag tot wiskundeonderrig in die studie aangewend. Volgens die data van die fokusgroeponderhoud met vyf opvoeders, beskik leerders met intellektuele gestremdheid oor beperkte getalbegripkennis. Dié opvoeders het ook aangedui dat hul keuse van leertake slegs getalfeite, rekenvlotheid, memorisering en onderrig met konkrete apparaat insluit. Data uit die fokusgroeponderhoud met twee wiskundespesialiste wat in spesiale onderwys werksaam is, het opvoeders in die navorsingskool se beperkte didaktiese kennis vir wiskundeonderrig aan leerders wat verstandelik erg gestremd is, uitgewys. Gebaseer op hierdie data is 'n onderrigingreep ontwerp en vir ses maande geïmplementeer. Die tien leerders wat by die onderrigingreep betrek is, se geleefde ervaringe is as agtergrond by wiskundeprobleme ingesluit om konteksryke take te ontwerp. Die riglyne wat uit die navorsing spruit, het tot gevolg dat lewensegte kontekste waarin wiskundige probleemtipes ingebed is, nuttig gebruik kan word in gespreksryke leerervarings vir leerders wat verstandelik erg gestremd is. Só 'n benadering het die potensiaal om wiskunde vir leerders wat verstandelik erg gestremd is meer betekenisvol te maak, hulle beheersing van kontekste te verbeter, en kritiese denke te ontwikkel. Bevindinge uit die aksienavorsingsproses kan aangepas word vir soortgelyke wiskundeonderrigpraktyke.

Abstract Through a qualitative research, descriptive interpretive design and phenomenological approach, the perception of sixteen students with visual disabilities on access to digital teaching material and integration of Information and Communication Technologies (ICT) by teachers was analyzed. Teachers, during virtual teaching due to confinement by Covid-19, the study population belongs to public and private inclusive educational institutions in the Peruvian department of Puno, of which six (6) have severe visual impairment and ten (10) have moderate disabilities, the semi-structured individual interview was applied during the last academic bimester of the year 2021 and the first academic bimester of the year 2022. The results show limitations in the use of virtual didactic resources and ICT, in the teaching-learning processes, limiting the learning of visually impaired students, urging educational policies that address the educational immersion of inclusive technological resources.

Resumen Mediante una investigación de tipo cualitativo, diseño descriptivo interpretativo y enfoque fenomenológico, se analizó la percepción de dieciséis estudiantes con discapacidad visual, sobre el acceso a material didáctico digital e integración de las Tecnologías de la Información y la Comunicación (TIC) por parte de los docentes, durante la enseñanza virtual por confinamiento por Covid- 19. La población de estudio pertenece a instituciones educativas inclusivas públicas y privadas del departamento peruano de Puno, de los cuales seis (6) presentan discapacidad visual severa y diez (10) discapacidad moderada, la entrevista individual semiestructurada se aplicó durante el último bimestre académico del año 2021 y el primer bimestre académico del año 2022. Los resultados evidencian limitaciones en el uso de recursos didácticos virtuales y TIC en los procesos de enseñanza-aprendizaje, limitando el aprendizaje de estudiantes con discapacidad visual, apremiando por políticas educativas que aborden la inmersión educativa de recursos tecnológicos inclusivos.

RESUMEN Las tendencias pedagógicas actuales indican la factibilidad de poner en el centro al educando logrando un proceso formativo integrador, justificándose desde el diseño de seminarios integradores, tiene como objetivo: transformar eficientemente el estado actual del proceso enseñanza-aprendizaje desarrollador y el desempeño profesional en docentes de ciencias naturales, mediante el uso de mediadores tecnológicos como herramientas en la realización de seminarios integradores para elevar la calidad del proceso con enfoque interdisciplinario integrador, se realizó un estudio cuasi experimental de intervención educativa, deviniendo evolución eficiente del proceso de formación tecno-investigativa, coadyuvando a la proactividad y perfeccionamiento.

ABSTRACT Current pedagogical trends indicate the feasibility of putting the learner at the center, achieving an integrative formative process, justifying itself from the design of integrative seminars, aims to: To efficiently transform the current state of the developmental teaching-learning process and professional performance in natural science teachers, through the use of technological mediators as tools in the realization of integrative seminars to raise the quality of the process with an interdisciplinary integrative approach, a quasi-experimental study of educational intervention was conducted, becoming efficient evolution of the techno-investigative training process, contributing to proactivity and improvement.

RESUMEN El objetivo del presente trabajo es ofrecer una estrategia didáctica que contribuya a la solución de problemas matemáticos-profesionales con enfoque formativo agroecológico por los estudiantes de Agronomía. El diagnóstico del proceso de enseñanza-aprendizaje de la Matemática, la revisión de la bibliografía básica y programas de estudio revelaron una insuficiente sistematización didáctico-metodológico en la interrelación de los contenidos de la profesión, la asignatura Matemática y lo contextual agroecológico. La aplicación de la estrategia didáctica propició el interés por el estudio de la Matemática, así como la utilización de modelos y métodos matemáticos en la solución a los problemas objeto de estudio.

ABSTRACT The objective of this work is to offer a didactic strategy that contributes to the solution of mathematical-professional problems with an agroecological formative approach by Agronomy students. The diagnosis of the teaching-learning process of Mathematics, the review of the basic bibliography and study programs revealed an insufficient didactic-methodological systematization in the interrelation of the contents of the profession, the subject Mathematics and the agroecological contextual. The application of the didactic strategy favored the interest in the study of Mathematics, as well as the use of mathematical models and methods in the solution to the problems under study.

RESUMEN El docente universitario debe gestionar el proceso de enseñanza-aprendizaje en el contexto de las relaciones que se establecen entre la sociedad, la tecnología, la ciencia y el medio ambiente. Estudios realizados corroboran insuficiencias en la orientación didáctica para gestionar la comprensión de los contenidos lingüísticos y literarios; de ahí que el objetivo de este artículo es la elaboración de un conjunto de acciones didáctico-metodológicas que favorezcan la gestión del conocimiento en función de su aprendizaje durante la formación del profesor de Español-Literatura. Para ello, se realizó una revisión bibliográfica y análisis documental relacionado con las categorías que se desarrollan.

ABSTRACT The university teacher must manage the teaching-learning process in the context of the relationships established between society, technology, science and the environment. Studies carried out corroborate insufficiencies in the didactic orientation to manage the understanding of linguistic and literary contents; hence, the objective of this article is the elaboration of a set of didactic-methodological actions that favor the management of knowledge in terms of its learning during the training of the Spanish-Literature teacher. For this purpose, a bibliographic review and documentary analysis related to the categories developed were carried out.