bluuebunny/crossref_metadata_2025_split huggingface dataset:
The usage of stochastic matrices while learning the topic “Eigenvalues and eigenvectors of a matrix” in the course of Higher Mathematics
Authors: Vlasenko K V , Armash T S , Kostikov A A , Lovianova I V , Moiseienko M V 
Published: October 2024

Abstract
The article looks into teaching students mathematical modeling during the mastering of the topic “Eigenvalues and eigenvectors of a matrix” in the Linear Algebra. The modeling is based on the usage of matrices built based on Markov chains. The analysis of the researchers’ papers shows that the usage of matrices of this type can be implemented while teaching students of different university specialties. The analysis of the prerequisites for the involvement of stochastic matrices in the consideration of students has helped to determine additional concepts and theorems that should be considered while learning “Eigenvalues and eigenvectors of a matrix”. The theorem on the presence of stochastic vectors in a stochastic matrix can serve as a formula for systematizing problems that can present applications of eigenvalues and eigenvectors of the matrix in real-life situations. The results of the experiment conducted using the developed system of problems for students of different University specialties show the improvement of skills provided by mastering the topic “Eigenvalues and eigenvectors of a matrix”.
Structural-mathematical thinking and its development in teaching Mathematics
Authors: Semenets S P , Semenets L M , Snikhovska I E , Holovnia R M 
Published: October 2024

Abstract
The paper highlights the content and components of structural-mathematical thinking, substantiates its classification basis and establishes typological characteristics. In the conceptual-categorical section of the present study, structural-mathematical thinking is introduced as a form of theoretical thinking that embodies the specifics of mathematical comprehension of reality. The content as well as structural and functional characteristics of the phenomenon under study represent the content and components of the mathematical structure. Hence, the adherence to the deductive nature of Mathematics was ensured in the study, also emphasizing the phenomenological characteristic of structural-mathematical thinking regarded as the ability to reflect reality in accordance with the content components of the mathematical structure. Taking into account the theoretical advances, using the system approach and the modeling method, a model of developmental-conceptual teaching of Mathematics was elaborated. By considering the theoretical advancements and applying both a systemic approach and modeling method, a model for instructing Mathematics in a developmental-conceptual approach was elaborated, which represents a problem-based approach and develops students’ structural-mathematical thinking. The crux of teaching Mathematics through a developmental and conceptual approach lies in creating a framework that addresses the three-fold challenge of problem-solving ↔ competency-building ↔ problem-solving proficiency. Taking into account the addressed issue, the paper elicits the outcomes of a pilot study how structural-mathematical thinking is manifested by the would-be teachers of Mathematics. Furthermore, the efficacy of the authors’ approach to its enhancement is experimentally validated.
Enhancing student performance through laboratory-based instruction: A study on the relative density and buoyancy of liquids
Authors: Patero J L 
Published: October 2024

Abstract
This study investigates the effectiveness of laboratory-based instruction in conveying fundamental concepts related to the relative density and buoyancy of liquids within a secondary laboratory science program at a leading university in Mindanao. Despite the challenges posed by digital technology and remote learning, traditional laboratory experiments remain integral to science education, providing active, hands-on learning experiences. The primary focus is to assess the impact of laboratory instruction on student performance according to these principles. Our findings reveal a significant improvement in the performance of students in the experimental group. Notable enhancements were observed between pre-tests and post-tests, with statistical significance established at α = 0.05. This underscores the substantial role of laboratory-based instruction in augmenting student performance. Additionally, when comparing final grades as an independent variable, we find that the laboratory teaching method significantly contributes to overall effectiveness in student learning. Furthermore, students’ positive perceptions of the subject and their attitudes toward both the laboratory and the subject matter emerged as significant contributors to performance improvements. Consequently, this enhanced likelihood of achieving better grades in physics highlights the broader impact of laboratory-based instruction on student academic outcomes.
Tracking the terminal velocity and energy of a parachutist: A video analysis for Physics classroom experiment
Authors: Pacala F A 
Published: October 2024

Abstract
This study primarily focuses on tracking a parachutist’s terminal velocity and energy during a free fall using video analysis. Also, this study looks into related literature about the implications of this experiment for classroom practice. High-quality and slow-motion videos of free-falling slotted masses acting as parachutists were captured, and the terminal velocities and energies were analyzed through software tracker video analysis and modeling. The data from the software revealed that, indeed, the terminal velocity is directly proportional to the square root of the masses. The 200g parachutist reaches terminal velocity first, then the less massive parachutist. The generated kinetic energy, gravitational potential energy, and total mechanical energy graphs were similar to the literature. The tracker video analysis can indeed track a parachutist’s terminal velocity and energy. However, the acceleration due to gravitational needed to be measured correctly due to some errors in the experiment. Furthermore, the literature has cited positive and negative implications for classroom practice. This study can say that the positive outweighs the negative. The positive repercussions were about enhanced engagement, accuracy, and data precision, while the negative ones were about the school’s technological divide.
Online control of educational results of the unit “Electricity” in the conditions of blended learning
Authors: Batsurovska I V , Dotsenko N A , Gorbenko O A , Haleeva A P , Kurepin V M 
Published: October 2024

Abstract
The article describes the technology of online control of educational results of the unit “Electricity” in the conditions of blended learning. It was determined that during the online stages of studying unit “Electricity”, reverse communication is an urgent issue when receiving information in a distance format, and online control is designed to support the organization of a modern training session. Three topics have been singled out in the unit, in the context of which it is appropriate to develop control measures. Topic I “Electric Field in a Vacuum” focuses on the study of electric field strength, potential, the relationship between strength and potential, the electric dipole, and the circulation and flow of an electric field. Topic II “Electric Field in a Substance” involves the study of the electric field in dielectrics and conductors in an electric field. Topic III “Electric Current” includes general laws of electric current, electric circuit, current in a circuit with a capacitor, and current work and power. There are outlined the different types of tests: graphical, calculation, animated, audio that form the means of online control in the context of the outlined unit. The developed technology of online control of educational results of the unit “Electricity” provides for an organic combination of the presentation of educational materials with control measures. The research methodology involved the analysis and synthesis of scientific, pedagogical, methodological sources and empirical methods, as well as the analysis of the obtained results. Before the introduction of the developed technology and after the completion of the experimental work, a study was conducted, which included an analysis of the quality of knowledge when studying the specified topic. The obtained results before and after the experiment were tested using the Pearson statistical test χ
2.
Professionally oriented tasks for learning and using mapping technology with ArcGIS tools
Authors: Tsidylo I M , Hrod I M , Poplavska I V 
Published: October 2024

Abstract
The article substantiates the expediency of using professionally oriented tasks for learning the technology of the mapping process using ArcGIS, taking into account the peculiarities of the training specialists of natural sciences. Socio-economic mapping by means of ArcGIS is an important step for creating management systems to support decision-making by future geographers and others. The main aspects of the introduction of professionally oriented tasks into the educational process of pedagogical institutions of higher education have been clarified. Educational and methodological guidelines for studying and using the technology of mapping with ArcGIS tools have been developed for students and future geographers who expect to perform professionally oriented tasks in the development of maps. For the practical preparation and development of a series of maps that provide visual information for an objective analysis of Ukraine’s indicators, we used information from the State Statistics Service of Ukraine, the Main Statistical Offices of Ukrainian regions. A series of maps, created by different methods and connected by one topic, was prepared and developed, among them the creation of a cartogram of the population of the regions of Ukraine using the method of quantitative background. An experimental verification of the effectiveness of the use of professionally oriented tasks for the study and use of mapping technology by means of ArcGIS by future teachers-geographers proved an increase in the level of development according to the specified criteria: motivational, cognitive and personal-reflective with the corresponding indicators. The mapping approaches presented in this paper based on the implementation of professionally oriented tasks allow students to apply the acquired knowledge and skills and give them the opportunity to flexibly adapt to situations arising in the future professional activity of a geographer.
Study of the usage of STEM technologies in the context of training Ukrainian teachers of computer science in accordance with the social needs and challenges of today
Authors: Balyk N R , Oleksiuk V P , Shmyger G P , Vasylenko Ya Ph 
Published: October 2024

Abstract
The article discusses the use of STEM technologies in the training of competitive specialists to meet social needs and challenges in the context of the war in Ukraine. The authors analyse the theoretical foundations and the impact of the STEM approach on modern education, focusing on the introduction of STEM technologies in the process of teaching future computer science teachers. The significance of STEM education as an important trend due to its natural science component and innovative technologies is discussed. The key components of the model of teacher training in STEM are identified, such as target, content, activity, evaluation and result. In order to verify the proposed model, an experimental study was conducted to determine the indicators of students’ attitude towards STEM technologies. The necessity of ensuring a high level of teacher qualification for the effective formation of STEM knowledge and skills, as well as solving practical problems of various levels of complexity, is substantiated. The article determines how modern STEM technologies can meet social needs and challenges, especially in times of war. The authors aimed to identify strategies and approaches for the effective use of STEM technologies in education, which will ensure the competitiveness of Ukrainian specialists.
Experience of interdisciplinary projects implementation in the training of pre-serviced IT-specialists
Authors: Bilousova L I , Gryzun L E , Pikalova V V 
Published: October 2024

Abstract
The problems of contemporary IT specialists’ training in terms of the high requirements to their mathematical and computational thinking skills as well as the urgency of raising their motivation to mastering math and algorithmization are discussed in the paper. It is pointed out that initial university courses should involve the students in the experiences that focus pre-service IT-specialists on the deep understanding of a mathematical backround and an algorithmic nature of any coding task, demonstrate them the role of math in the analysis of algorithm characteristics, and importance of math knowledge in for successful IT-career. One of such experiences presented by the authors is involving the pre-service IT-specialists into the work upon the interdisciplinary projects. The said activity is elaborated basing on the core didactic principles of PBL with the focus on the interdisciplinary project peculiarities. The goal, stages and results of the said PBL are described and analyzed in terms of its impact on the students’ awareness of mathematical knowledge value in their vocational activity. The levels of of formation of the IT-specialists’ awareness of mathematical knowledge value are established and determined. The survey and monitoring program were developed and realized which showed the changes in the distribution of pre-service IT-specialists by the levels of the said awareness for their future IT career. The prospects of further research are outlined in terms of holding the empirical research for the verification of the offered PBL activity impact on the motivation to IT-specialists’ learning mathThe software module’s core components are distinguished and the set of requirements in terms of their design are formulated according to the logic of the components work.
Estimation of methyl orange dye’s molar absorptivity using a photoresistor-based photometer
Authors: Ludovice P M C , delos Santos R M 
Published: October 2024

Abstract
The need to further develop solar cell technology, particularly on dye-sensitized solar cells (DSSCs), drives absorption studies of various chemical species. In this study, absorbance analysis of methyl orange (MO) dye was performed using the adapted and modified photoresistor-based photometer of Adams-McNichol et al. [1]. The research aims to improve the stability of the reference setup, while maintaining the accuracy of absorbance results it yields. The methodology includes photometer fabrication, MO dye sample preparation, and the evaluation of MO dye’s molar absorptivity in an aqueous solution. Results show that the estimated molar absorptivity of MO using the voltage readings from the photometer is close to the literature value, with a percentage error of 1.44%. This finding demonstrates that the modified photometer retains its effectiveness, as supported by the method repeatability measurements from six samples for each of the following MO concentrations: 0 μM, 40 μM, 45 μM, and 50 μM. Considering these results, the device may be useful in teaching light absorption to students as an alternative to the “black box” approach, and in exploring purified natural dyes that have potential applications in solar cell technology.
Microlearning technology based on video content: advantages, methodology and quality factors
Authors: Hlazunova O H , Schlauderer R , Korolchuk V I , Voloshyna T V , Saiapina T P 
Published: October 2024

Abstract
The quality organization of the educational process using video-based microlearning technology can have several benefits for students. These include the ability to learn at their own pace and according to their individual needs, access from anywhere at any time, and focus on specific topics and tasks, which allows them to better absorb the learning material. Microlearning technology is being used effectively in business for employee training. However, the present study focused on the process of teaching using microlearning technology based on video content within the discipline Information Systems and Technologies in Economics. The experiment involved teachers and students of the National University of Life and Environmental Sciences of Ukraine (NULES). To evaluate the quality of video-based microlearning technology, a data coverage measurement and analysis model (SBM-DEA) was used. The input factors were indicators of the quality of the e-course and learning technology, and the output parameters were students’ academic performance, students’ and teachers’ evaluation of the e-course and learning technology. The results showed that out of 39 respondents, 29 confirmed the effectiveness of this technology, which is 75% of the total. This indicates that the introduction of microlearning technology into the educational process has improved learning outcomes and that this technology has been positively evaluated by both teachers and students. The results of the study are important for improving the quality of organization of the educational process using the technology of microlearning based on video content, identifying key factors of quality of microlearning based on video content.
Dual photosensitizers material for photodynamic theraphy
Authors: Wu Jinhua , Qin Liying , Jiang Fei , Zhao Tongkun , Zhang Suhui , Gao Jian 
Published: October 2024

Abstract
Fluoride-based upconversion luminescent materials have the advantage of low phonon energy, which can effectively reduce the non-radiative transition process, so that materials have higher luminous efficiency than other matrix materials. The core–shell NaGdF4:Er3+, Yb3+ @NaGdF4:Tm3+, Yb3+ nanoparticals were synthesized by thermal decomposition method. The core–shell structure can effectively avoid the surface quenching effect, meanwhile, Tm3+ in the shell transmits part of the photons in its excited state to Er3+, effectively enhancing the red emission of Er3+ and improving the luminous efficiency of the samples as a whole. The samples were further coated with a layer of mesoporous silica(mSiO2), where the photosensitizer(PS) Ce6 (red light activated) and MC540 (blue-green light activated) were compounded on through covalent bonds and electrostatic forces, respectively. So that three visable lights include red, green, and blue are all emitted from the sample to activate the PSs to produce reactive oxygen species (ROS) under 980 nm laser irradiation. In cells experiments, the samples were modified with folic acid (FA), which can mediated the cancer cells to target endocytosis. Notable photodynamic therapy (PDT) efficiency was observed under this dual-photosensitizers composite samples for its ROS generation.
Stability in phase retrieval: Characterizing condition numbers and the optimal vector set
Authors: Xia Yu , Xu Zhiqiang , Xu Zili 
Published: October 2024

In this paper, we primarily focus on analyzing the stability property of phase retrieval by examining the bi-Lipschitz property of the map

Φ

A

(
x
)
=

|

A
x

|

∈

R

+
m

\Phi _{\boldsymbol {A}}(\boldsymbol {x})=|\boldsymbol {A}\boldsymbol {x}|\in \mathbb {R}_+^m

, where

x
∈

H

d

\boldsymbol {x}\in \mathbb {H}^d

and

A
∈

H

m
×
d

\boldsymbol {A}\in \mathbb {H}^{m\times d}

is the measurement matrix for

H

∈
{

R

,

C

}

\mathbb {H}\in \{\mathbb {R},\mathbb {C}\}

. We define the condition number

β

A

=

U

A

L

A

\beta _{\boldsymbol {A}}=\frac {U_{\boldsymbol {A}}}{L_{\boldsymbol {A}}}

, where

L

A

L_{\boldsymbol {A}}

and

U

A

U_{\boldsymbol {A}}

represent the optimal lower and upper Lipschitz constants, respectively. We establish the universal lower bound on

β

A

\beta _{\boldsymbol {A}}

by demonstrating that for any

A

∈

H

m
×
d

{\boldsymbol {A}}\in \mathbb {H}^{m\times d}

,

β

A

≥

β
0

H

=

{

π

π
−
2

≈
1.659

a
m
p
;

if

H

=

R

,

4

4
−
π

≈
2.159

a
m
p
;

if

H

=

C

.

\begin{equation*} \beta _{\boldsymbol {A}}\geq \beta _0^{\mathbb {H}}= \begin {cases} \sqrt {\frac {\pi }{\pi -2}}\approx 1.659 & \text {if $\mathbb {H}=\mathbb {R}$,}\\ \sqrt {\frac {4}{4-\pi }}\approx 2.159 & \text {if $\mathbb {H}=\mathbb {C}$.} \end{cases} \end{equation*}

We prove that the condition number of a standard Gaussian matrix in

H

m
×
d

\mathbb {H}^{m\times d}

asymptotically matches the lower bound

β
0

H

\beta _0^{\mathbb {H}}

for both real and complex cases. This result indicates that the constant lower bound

β
0

H

\beta _0^{\mathbb {H}}

is asymptotically tight, holding true for both the real and complex scenarios. As an application of this result, we utilize it to investigate the performance of quadratic models for phase retrieval. Lastly, we establish that for any odd integer

m
≥
3

m\geq 3

, the harmonic frame

A
∈

R

m
×
2

\boldsymbol {A}\in \mathbb {R}^{m\times 2}

possesses the minimum condition number among all

A
∈

R

m
×
2

\boldsymbol {A}\in \mathbb {R}^{m\times 2}

.

To the best of our knowledge, our findings provide the first universal lower bound for the condition number in phase retrieval. Additionally, we have identified the first optimal vector set in

R

2

\mathbb {R}^2

for phase retrieval. We are confident that these findings carry substantial implications for enhancing our understanding of phase retrieval.
The Insides and Outsides of Families
Authors: Sangari Kumkum 
Published: October 2024

Abstract
This chapter focuses on how the family, both material and notional, is conventionally seen as a bounded unit that absorbs risk but is in fact a contradictory entity. The chapter argues that the neoliberal economy has aggravated the class distance between points of survival and points of accumulation in India and has jeopardized social reproduction in several ways. It proposes the concept of extended social reproduction that connects waged and non-waged familial labour, survival, and accumulation, especially in the feminized service sector through the vectors of caste, class, and gender and blurs the insides and outsides of families. The imperatives of social reproduction are sought to be met by heteropatriarchal families through regulatory marriage, son selection, and violence, and by the state through techniques of retraditionalization that inform recent laws on surrogacy and old age care.
‘To Restore the Comforts and Bliss of Married Life’
Authors: Vatuk* Sylvia 
Published: October 2024

Abstract
A high proportion of all suits filed in the Indian Family Courts today involve pleas for ‘restitution of conjugal rights’ (RCR). The vast majority are filed by men, although Hindu and Christian women are also eligible to do so. An RCR petition is filed against a spouse who has left the marital home. It asks the court to ‘restore [to him or her] the comforts and bliss of married life’ by ordering the erring spouse’s return. These laws have been challenged numerous times, but in 1984 were upheld by the Supreme Court. The chapter focuses on judicial reasoning in such cases, particularly those dealing with Muslim Personal law, and explores the disjuncture between the way litigants actually employ RCR laws and the Court’s contention that their retention is necessary to prevent widespread marital breakdown in Indian society.