Bratislava two days with the didactics of mathematics

V príspevku informujeme o hybridne organizovanej konferencii Dva dni s didaktikou matematiky na pôde FMFI UK v Bratislave. Stručne opisujeme pozadie jej vzniku, programovú štruktúru a kľúčové diskutované témy na jej šiestom ročníku

How to go through life positively with mathematics

Autor se zamýšlí nad náplní a zpracováním nové knihy prof. Kuřiny Půvab elementární geometrie

A comparative analysis of multivariate approaches for data analysis in management sciences

The researchers use the SEM-based multivariate approach to analyze the data in different fields, including management sciences and economics. Partial least square structural equation modeling (PLS-SEM) and covariance-based structural equation modeling (CB-SEM) are powerful data analysis techniques. This paper aims to compare both models, their efficiencies and deficiencies, methodologies, procedures, and how to employ the models. The outcomes of this paper exhibited that the PLS-SEM is a technique that combines the strengths of structural equation modeling and partial least squares. It is imperative to know that the PLS-SEM is a powerful technique that can handle measurement error at the highest levels, trim and unbalanced datasets, and latent variables. It is beneficial for analyzing relationships among latent constructs that may not be candidly witnessed and might not be applied in situations where traditional SEM would be infeasible. However, the CB-SEM approach is a procedure that pools the strengths of both structural equation modeling and confirmatory factor analysis. The CB-SEM is a dominant multivariate technique that can grip multiple groups and indicators; it is beneficial for analyzing relationships among latent variables and multiple manifest variables, which can be directly observed. The paper concluded that the PLS-SEM is a more suitable technique for analyzing relations among latent constructs, generally for a small dataset, and the measurement error is high. However, the CB-SEM is suitable for analyzing compound latent and manifest constructs, mainly when the goal is to generalize results to specific population subgroups. The PLS-SEM and CB-SEM have specific efficiencies and deficiencies that determine which technique to use depending on resource availability, the research question, the dataset, and the available time

Educationalists in 1950s, 1960s Hungary: Identity and Profession through Retrospective Life (Hi)Stories

This paper is based on the lost and found sources from the former Hungarian National Pedagogic Institute (OPI) and the National Educational Institute (OKI): due to the generosity of Professor Gábor Halász we can save valuable archives from disappearance. I found several life-story interviews in the corpus by different Hungarian educationalists, which were recorded in 1984 and 1985. These documents gives a unique opportunity to describe typical career patterns, how a teacher could become a head of a department in the Ministry or held other key positions on the highest level of educational administration in the post-war, communist Hungary. The semi-structured interviews focused on personal transitions and turns, connected with the historical time and political changes, including different socio-historical contexts and dimensions, like the recalled decades of 1950s and 1960, the interviewing period of the late socialism, and finally, the retrospection of the questioners. The biographic nature of the communist political system is a specific characteristics in my analysis: to get a position (like an editor in chief, a school inspector of different districts in Budapest, or a head of a department in the Cultural Ministry) it was required to constantly write and rewrite autobiographies; construct social and professional identities again and again, proved loyalty to the Party. The contemporary reader from 2023 can evaluate the sources as narrations: in the beginning crisis of the system in the 1980’s, the interviewees told their lives with the intention to form the memory, create legitimation and meanings for their past activities and life-stories

Manhattanská a maximová metrika v úlohách školské geometrie

Cílem článku je představit sérii úloh, v nichž mají žáci za úkol najít de facto množiny bodů dané vlastnosti v rovině, pracují však se vzdálenostmi na principu manhattanské či maximové metriky. Úlohy jsou vhodné již pro žáky základních škol, jejich gradací však lze tvořit úlohy vhodné i pro žáky starší. V článku je také připomenuta potřebná matematická teorie, kterou sice žáci k řešení úloh znát nemusí, avšak pedagog by s ní měl být obeznámen.The aim of the article is to present a series of problems in which pupils are tasked with finding de facto loci of points in a plane, but, they work with distances according to the Manhattan or maximum metric principles. The problems are suitable for primary school pupils, but by increasing their difficulty, they can be solved by older pupils. The article also mentions the necessary mathematical theory, which the pupils do not need to know in order to solve the problems, however, the teacher should be familiarised with

An attempt to resolve no-wait flow shop scheduling problems using hybrid ant colony and whale optimization algorithms

The incentive for many developments and scientific progresses within the field of scheduling has emerged from industrial environments, and naturally, it could be utilized in expressing the scheduling concepts regarding terms used in the industry. Generally speaking, scheduling problems are known as limited optimization issues through which decisions related to the machines’ assignment and works processing sequence are probed. Thus, following a review of the related literature, the major goal of this research is to design a mathematical model and to solve it through a meta-heuristic for no-wait flow shop scheduling problem using different machines for the purpose of minimizing the time required to complete the work using whale and ant colony optimization (ACO) algorithms in Sanat-Gostar-e-Hamgam Shoe Company. The ACO and whale algorithm methods are used to compare and predict scheduling activities in manufacturing line of shoe industry. The results showed an ACO algorithm with two stages in mean ideal distance (MID) end amounting to 76.65 and 77.38, respectively. Also, regarding the amounts of standard error mean squares, it could be claimed that the model designed using the improved whale algorithm has a better prediction, and the minimum time required to complete works using the whale algorithm is estimated to be equal to 86.1071. This could lead to an optimal state in achieving the predetermined goals

How is it anyway? Line segment length

Autoři se zamýšlejí nad problematikou velikosti úsečky a jejího měření, a to z pohledu historie, ale zejména výuky tématu v hodinách matematiky. Pozornost věnují i matematickému hledisku

Examining climate change awareness and climate-friendly activities of urban residents: A case study in Košice

As the impact of climate change begins to be felt all around the world, the vulnerability of urban areas due to their population density, high concentration of economic activities and the altered characteristics of the physical environment is becoming increasingly apparent. As a result, cities will play a crucial role in tackling climate change by fostering mitigation activities and managing and coordinating the adaptation process. Research has shown that engagement and awareness among citizens is vital in the promotion of effective adaptation policies, but studies have also drawn attention to the significance of the so-called “awareness-action gap,” the absence of a direct link between awareness and action. This study contributes to the ongoing debate over the awareness-action nexus by discussing the factors that can affect the adaptation and mitigation activities of urban citizens using the Slovak city of Košice as a case study. Data was collected using a survey conducted with local residents as part of the preparations for the city’s first adaptation strategy on climate change. The paper uses a two-step analysis to investigate the socio-economic, psychological and contextual factors associated with climate change awareness and climate-friendly activities. The results of the standard linear regression model indicate that self-assessed vulnerability is a determining factor in both the level of climate change awareness and the likelihood of individuals to take action. In the second step, we find that the factors which influence engagement in climate-friendly activities differ depending on the costs involved in implementing the activities. The exploratory analysis conducted using a machine learning algorithm suggests that the awareness-action nexus may be non-linear in nature. The main findings of this study imply that communication strategies should place a primary emphasis on individuals’ vulnerability to the negative impacts of climate change. The paper contributes to the existing research by providing a case study of a generally under-researched geographical area of Central Europe. In addition, the analysis provides a specific context of urban area and implications for local policymakers, something that has been lacking the in literature looking primarily at data at the country level