Preschool education is fundamental to shape children’s aptitudes and skills in early life. Ecuador is following a global education trend for starting-up mathematical thinking at earlier development ages, but this is only reflected in vehement curricular changes that are not supported properly. As a result, the safeguarding of a good children’s education appears to be lessened. This work aimed to evaluate the mathematics thinking practices in preschools of Pasaje city, Ecuador. The investigation employed a descriptive approach, hence data were collected from 65 teachers and 810 parents from public and private preschools by means of interviews and questionnaire in an attempt define some causes (teacher’s education, children’s socio-economical and family circumstances) that impair the initiation of the numerical, spatial and metric and geometric aptitudes in children. The results showed that not only preschool practices but also the home environment linked to socio-economic status appear to have positive or unfavorable influences on their children’s education.

El Oro province undergoes a high rate of student’s withdrawal from distance courses offered by the local university. The distance education model gives for granted that the regular teachers are proficient for remote tutoring. This research attempts to reveal the state-of-art of this educative model in a provincial university. The study focused on a quantitative-qualitative explorative approach to determine, whether, if withdrawal is more frequent in introductory courses or not. Among the main causes for withdrawal were found: (1) the naive of learners in high education programs, (2) the inconsistency of the university proposals (academic and administrative) and; (3) the most important, the deficiencies in remote tutoring.

This study aimed at analyzing the implementation of authentic assessments and constraints faced by junior high schools' teachers in mathematics teaching. A qualitative approach was applied in the study. The data on the implementation of authentic assessments and constraints were obtained from 50 mathematics teachers in several public junior high schools in Malang City, East Java Province-Indonesia, trained by the 2013 curriculum. Documentation, questionnaires, observations, and interviews were used to collect the data. The study results showed that most teachers implemented authentic assessments in mathematics teaching as designed in the learning plan. The obstacles faced by the teachers in the implementation of the authentic assessment included the time limit and accuracy. The efforts made by the teachers varied, but the teachers tried to administer the authentic assessment properly following the demands of the curriculum.

This research aims to describe the expectations of prospective teachers for students' mathematical thinking processes in solving problem-based on the Polya model. This model is perceived by the theory of mathematical thought processes proposed by Mason. A descriptive method with a qualitative approach was used in this research. The research subjects were 25 students from the Department of Mathematics Education, Ibrahimy University. The test was given to collect data related to mathematical thinking processes expected by prospective teachers to students. Collected data including observations, tests, and interviews were tested in the aspect of their validity by triangulation. The qualitative descriptive was used to analyze the data. The results indicated that: (1) The average GPA (Grade Point Average) of the high, medium, and low group prospective teachers' were 93.25; 89.89; and 83.63 with a standard deviation of 1.754 each; 1.054; and 5.370, respectively (2) The prospective teachers expected that the students' mathematical thinking processes were able to carry out all of four mathematical thinking processes based on Mason Theory; (3) The prospective teachers expected that students were able to use Mason Theory on every stage of the Polya model problem solving; and (4) The expectation of prospective teachers were specializing (89%), generalizing (75%), conjecturing (62%), and convincing (59%). The results suggest for following up in a teachers or lecturer’s meeting in order to find out the expectations of their students' mathematical thinking processes, both in mathematics or other disciplines.

Continuous changes in social demand and development provide an acute and continuous pressure on universities. The question is whether higher education institutions (HEI) in Ecuador deliver graduates with the competences to provide timely economic, ecological, and sustainable solutions. Additionally, HEIs should prepare graduates to find employment in a society characterized by greater uncertainty, extensive use of information technology, speed, risk, complexity and interdisciplinary work. To face this challenge, universities need lecturers to possess a mix of aptitudes, attitudes, and professional development in teaching, research, and services. Unfortunately, knowledge is sparse about the readiness of their pupils to function effectively in a rapidly changing and increasingly globalized environment. Accordingly, this study uses an explanatory sequential mixed-methods approach to explore the impact of lecturers’ aptitudes, attitudes, and professional development on teaching and student learning at the University of Cuenca. Lecturers’ perceptions about their aptitudes and their attitudes are higher than the students’ perceptions. Faculty representatives believe that untenured lecturers have a better attitude and aptitude than the tenured lecturers. A third part of lecturers have achieved one of the required criteria in research development. Students from biological sciences are more satisfied with their lecturers and the competence development that they receive than the students from social sciences or engineering. Understanding the likely implication of the variables, aptitudes, attitudes and professional development, on the quality of teaching and learning is fundamental for the design and carrying out of educational reforms.

The changes brought about in higher education by the Coronavirus disease (COVID-19) pandemic require effective action. Teachers must be trained to work on university platforms. The study allows us to analyse the current educational problems, which are found in many countries, not only in Ecuador. The research aimed to determine the virtual andragogical competencies of Ecuadorian university education during the COVID-19 pandemic. A mixed research approach was used. A quantitative analysis was applied first, followed by a qualitative analysis. The sample selection was participatory and non-probabilistic. The sample consisted of 1003 active higher education teachers in Ecuador. A questionnaire of 106 questions divided into four variables was applied. A multiple analysis of variance (MANOVA) was performed. The analyses demonstrated the need to apply four integral competencies. First the teacher must "Know how to be", through continuous ICT training. After the teacher has been trained, he/she must "Know". This process involves mastering educational technology. After updating knowledge, they must "Know how to live together". Develop critical and constructive communication. Then "Know how to do" by applying an effective guiding methodology. Teacher training under the competency-based approach is seen as a viable alternative.

Coronavirus disease (COVID-19) Pandemic changed education conditions worldwide forcing all the parties involved to adapt to a new system. This study aimed to collect information related to the effects of teaching English online on English as a Foreign Language (EFL) students’ achievement. Data were collected from EFL teachers and students enrolled in three different Ecuadorian Universities (Technical University of Ambato, Higher Polytechnic School of Chimborazo, and University of Cuenca) from five different levels: A1, A2, B1, B1+, and B2. This preliminary paper reports the results of 480 students regarding four major sections: pedagogical practice and assessment, learning outcomes, affective factors and perceptions of students about the advantages and disadvantages of online learning during the pandemic COVID-19; considering the Hierarchy of online learning needs of Justin Shewell. An online survey questionnaire with 17 questions and a 5-point Likert scale was applied. The Cronbach's Alpha test presented 0.84 and 0.73 level of reliability. The Kolmogorov Smirnov’s statistic and, the Kendall's Tau_b tests, and the Levene's test for homogeneity of variances were performed with the SPSS statistical program. The results made evident that online learning affects academic achievement in EFL students during the COVID-19 pandemic, which was confirmed after analyzing four main areas: pedagogical practices and assessment, learning outcomes, affective factors and students’ perceptions about the advantages and disadvantages of online learning. The importance of online learning was highlighted since it has been understood as a tool to face the emergency produced by the COVID-19 pandemic.

This study was conducted to corroborate in understanding the teachers’ beliefs about assessment practices. The prior studies related to teachers’ assessment beliefs in mathematics have been done to assess teachers’ beliefs in the general context of mathematics teaching. This study developed an instrument to assess teachers’ assessment beliefs of mathematical thinking. The research aimed to develop and validate a scale of assessment beliefs of mathematical thinking by using the confirmatory factor analysis. The first draft of the scale contained 25 items. The sample of the study consisted of 537 mathematics teachers from public schools in Oman. The instrument was a questionnaire with a 5-point Likert scale. The scale was validated by asking a number of experts in mathematics educational measurement and evaluation. Exploratory and confirmatory factor analysis was applied to test the model of assessment beliefs of mathematical thinking scale using AMOS 25.0. All constructs had acceptable reliability. The model had a good model fit for the assessment beliefs of mathematical thinking scale which obtainable from the fit indices tests. The findings revealed that all fit criteria indices were realized. The results also showed acceptable validity and construct reliability for the scale.

The primary goal of this study was to explore the effectiveness of Quizizz in enhancing students' motivation, interest, and achievement in physics. This study was conducted at the Nueva Ecija University of Science and Technology (NEUST) – Gabaldon campus during the second semester of the academic year 2021-2022. This study used both a descriptive and a quasi-experimental one-group pretest-posttest design. The descriptive design was used to describe the student's motivation and interest in learning waves and optics before and after the intervention of Quizizz. The quasi-experimental one-group pretest-posttest design was used to determine the effectiveness of Quizizz in increasing students' motivation, interest, and achievement in physics. The study included 20 students pursuing a bachelor's degree in secondary education with a major in science. According to the findings, before the intervention of Quizizz, students agreed that they are motivated and interested in learning physics, and their performance was average. Following the intervention, students unanimously agreed that they are more motivated and interested in learning physics, and their scores in a specific unit increased. According to the t-test, the intervention of Quizizz significantly increases student motivation, interest, and achievement in physics. It demonstrates that using Quizizz in physics instruction improved students' motivation, interest, and achievement in physics.

In the future, vocational students will face all changes and developments in technology and information. In this context, students' digital literacy skills need to be trained to adapt to the demands of the world of work. This article aims to present the results of a study on factors that can improve the digital literacy practice for vocational students as a roadmap for digital learning in the current era. The sampling technique used purposive random sampling of 8 Vocational Schools in East Java Province, Indonesia. The number of respondents in this study amounted to 355 second-year students. The study has found that online learning, motivation, and technology introduction are influenced by students' digital literacy practices, while teacher readiness and infrastructure must be mediated by online learning. The findings in this study indicate that collaboration from various parties is needed from teachers, school administrators, and policymakers in planning learning that focuses on students' digital abilities.

After months of 100% online teaching due to the pandemic produced by COVID-19, the return to face-to-face classes is being experienced. This study focused on finding the English as a foreign language (EFL) University professors’ perspectives of online education during that time. The information was collected from three Ecuadorian universities: The Technical University of Ambato, The Higher Polytechnic School of Chimborazo, and The University of Cuenca. The survey was designed with 26 questions about professors’ perceptions of online teaching and its impact on their pedagogical practices, affective factors, and student achievement. Software R, and the Cronbach's alpha tests were used as statistical tools, along with Kendall's Tau_b, and the Kruskal-Wallis test. The results showed that teaching online not only represents a solution in cases where face-to-face education is not possible, but also offers teachers the opportunity to experience the benefits of using technological tools and innovative strategies. Although some drawbacks, such as lack of time and real interaction were encountered, online teaching resulted in an alternative methodology that engaged learners.

The current research aims to analyze art teaching as an inclusive factor and pays attention to diversity in excluded populations to meet the needs of students in the pandemic context. In regard to methodology, we used the naturalistic paradigm, a qualitative approach, and an inductive method with a phenomenological and hermeneutical design. The data collection techniques we used were semi-structured interviews with teachers of the Regular Basic Education in Peru. The findings show that through the mediation of diverse artistic languages and the implementation of different didactic strategies, it is possible to achieve an interaction free from exclusion barriers, driven by good teaching practices that enable the inclusion and attention to the diversity of students, providing them with opportunities to develop capacities and skills to establish better coexistence. We concluded that art education comprises a lasting learning process that guarantees a healthy environment for peaceful coexistence, which today, inclusive teachers, parents, and students should keep in mind.

Higher education institutions have focused their efforts on promoting research seedbeds as a strategy for formative research. In this regard, the impact of such a strategy remains unknown due to the lack of models that enable its evaluation. Therefore, this study aimed to design an evaluation model for the academic productivity of research seedbeds based on the available evidence in the literature. To achieve this, a systematic review was conducted following the PRISMA model, analyzing 53 documents including articles, book chapters, and conference proceedings from the SCOPUS, ProQuest, Jstor, Scielo, and ScienceDirect databases. The results identified indicators that allowed for the design of a model based on six constructs: research training, institutional capabilities, bibliographic production, innovation and development, social appropriation of knowledge, and human resource training. It was concluded that the indicators evaluating research seedbeds seek greater scientific development involving students and improving the quality of research products, which directly impacts the institutional research mission.

The present study aimed to improve the speaking skills of university students at the B1 level who presented limitations in their oral competence. An educational methodology based on designing and implementing an application adapted to the Common European Framework of Reference was developed and applied to boost language performance. A case study was used to conduct the two stages of this research; the former had to do with a control group where intervention was carried out using non-probabilistic sampling with students of the Computing Faculty; a pretest was applied to test the knowledge acquired in their classroom sessions during the first quarter in 2020. The second process was tracking an experimental group, which was assessed after implementing the developed methodology using the app "4skillsweb". A posttest was used to evidence learners' progress during the COVID-19 lockdown, and the results showed improved oral competence in aspects such as grammar and vocabulary, discourse management, pronunciation, and interactive communication, with about 95% confidence in its validation. A qualitative-quantitative methodology was used to determine the influence of the English app. A t-students test was implemented to corroborate the data analysis taken by both groups through SOFTWARE JMP v 11.0.0G.