Reflection Principle Research Articles

The Role of Reflection in Doctoral Education: An Integrative Review of Approaches to Supporting Well-Being and Developmental Growth

Doctoral supervision is a complex and multifaceted endeavor that requires balancing the dual objectives of promoting academic development and supporting the well-being of doctoral candidates. This study examines how care-focused strategies and the concept of professional uncertainty can guide supervisors in addressing these demands. An integrative review methodology was used to synthesize findings from educational, psychological, and health-related literature, identifying methods and practices that enhance well-being and personal growth among doctoral candidates. Results indicate that fostering supportive relationships, integrating coaching practices, and adopting salutogenic approaches promote resilience and autonomy in doctoral students. Supervisors’ self-care and collegial support were also highlighted as critical for sustaining their capacity to guide students successfully. Challenges include managing conflicting expectations, navigating cultural diversity, and addressing stress within supervisory relationships. By emphasizing relational and ethical dimensions, the study demonstrates how reflective supervision can create environments that support both academic progress and mental health. While focused on doctoral education, these findings may also offer insights for teacher education programs, suggesting ways in which principles of care, reflection, and professional uncertainty could be relevant in broader educational contexts. Recommendations for practice include adopting structured supervision cycles and embedding care as a core principle in institutional policies. This paper offers practical insights and tools for integrating care-based strategies into doctoral supervision, providing a framework to enhance doctoral students’ well-being and adaptability while helping supervisors balance their dual roles.

Rapid detection of sludge moisture content based on the frequency domain reflection

ABSTRACT The moisture content (MC) of sludge is a critical factor affecting sludge treatment and disposal technologies. Traditional drying methods for measuring sludge MC are time-consuming and lack of portability. To achieve rapid online detection of sludge MC, this paper proposes a method based on frequency domain reflectometry. The theoretical feasibility of detecting MC using the frequency reflection principle was demonstrated. The model of the relationship between MC and dielectric constant, as well as the relationship between dielectric constant and oscillation frequency, was derived. The mathematical model correlating MC of sludge with oscillation frequency was established, and the structure of the sensor probe was designed. Experimental results show that the third-degree fitting curve achieving the best R t 2 of 0.98247. The proposed method presents good measurement performance compared to the drying method, with satisfactory repeatability and consistency in performance tests. For the sludge samples with MC ranging from 10% to 75%, the maximum error is 3.4%, and the average absolute error is 1.86%. This method provides an effective way for rapid detection of sludge MC, offering shorter measurement times and better portability compared to traditional methods.

Bounded symbiosis and upwards reflection

Abstract In Bagaria (J Symb Log 81(2), 584–604, 2016), Bagaria and Väänänen developed a framework for studying the large cardinal strength of downwards Löwenheim-Skolem theorems and related set theoretic reflection properties. The main tool was the notion of symbiosis, originally introduced by the third author in Väänänen (Applications of set theory to generalized quantifiers. PhD thesis, University of Manchester, 1967); Väänänen (in Logic Colloquium ’78 (Mons, 1978), volume 97 of Stud. Logic Foundations Math., pages 391–421. North-Holland, Amsterdam 1979) Symbiosis provides a way of relating model theoretic properties of strong logics to definability in set theory. In this paper we continue the systematic investigation of symbiosis and apply it to upwards Löwenheim-Skolem theorems and reflection principles. To achieve this, we need to adapt the notion of symbiosis to a new form, called bounded symbiosis. As one easy application, we obtain upper and lower bounds for the large cardinal strength of upwards Löwenheim–Skolem-type principles for second order logic.

Fast determination of terahertz polarization azimuth angle based on the core-anti-resonant effect

The azimuth angle of linearly polarized light plays a crucial role in optical mechanism investigations and various applications. However, in the terahertz (THz) band, traditional detection methods suffer from low efficiency or require complex apparatus. In this work, based on the core-anti-resonant reflection (CARR) principle, we propose a polarization-sensitive CARR cavity, namely, a simple 3D-printed tube with an Archimedean spiral structure of the cross section, which links the input linear polarization azimuth angle to the output resonant frequencies. In this way, the spatial polarization angle can be rapidly resolved via the Fourier-transformed THz spectrum from the detected single THz temporal pulse. Therefore, the experimental system configuration is simplified, and more importantly, the detection efficiency has been significantly enhanced.

“Miroirs et Reflets” by Gabriel Iranyi – An Auditory Metaphor of Visual Interactions

The work Miroirs et reflets by composer Gabriel Iranyi, explores the concept of mirroring and reflection in both technical and metaphorical ways. Iranyi was inspired by the visual art of Claude Monet and Paul Klee, translating principles of reflection, symmetry, and heterophony into his musical composition. The piece is structured in two distinct parts, with the first section characterized by a static and rigorous approach, and the second part defined by spontaneity and fast tempo. Iranyi uses various compositional techniques, such as isolated sustained sounds, pitch shifts, harmonics, and convex motion, to create an auditory metaphor for visual interactions. The work aims to engage the listener and performer in an artistic exploration that adds depth to the musical motifs.

Power tower bolt looseness detection method based on phase-sensitive optical time domain reflection technology

Abstract Due to the vibration threat during the operation of equipment, the bolt structure of the power tower will be loose, which seriously threatens the safety of power operation and maintenance. An innovative method utilizing the principle of phase-sensitive optical time domain reflection has been designed to effectively detect the loosening of bolts on power towers in response to the aforementioned issues. Phase-sensitive optical time-domain reflection technology is introduced to capture subtle vibration signals caused by bolt loosening. The detection principle is constructed to adjust the components of the static magnetic field in different directions so that the electromagnetic ultrasonic transducer can receive transverse guided waves and longitudinal guided waves. An in-depth analysis was conducted on the operational mechanism of phase-sensitive optical time-domain reflection technology. According to this principle, the ultrasonic wave emitted by an electromagnetic ultrasonic transducer propagates along a certain path, and the guided wave velocity is calculated. Thus, the realization process of bolt looseness detection in a power tower is constructed. The experimental results show that the loosening rate of bolts is effectively reduced after the application of this method, which greatly promotes overall safety. The root mean square error of this method is smaller, and the detection effect is the best.

3D modeling and identification of post-dredging sediment layer types using hydroacoustic instruments

Abstract Sedimentation in harbor areas is a serious problem because it can interfere with ship navigation activities due to silting depth. Overcoming the siltation problem requires dredging to transport most sediment on the bottom of the water. In 2023, dredging was carried out to overcome the siltation problem, where the dredged layer was a soft layer and a small part of the hard layer. This research focuses on identifying the type of bottom sediment layer in PT Gresik Jasatama after dredging, modeling the sub-bottom layer and its depth and in addition, analyzing the difference in depth before and after dredging and interpreting the Side Scan Sonar image. The method used is an acoustic method, which consists of various instruments used to perform the analysis. The sub-bottom Profiler uses the acoustic wave reflection principle to determine the sediment layer type. Multibeam Echosounder is used to analyze the difference in bathymetry depth in 2021 and 2023 while analyzing the type of layer based on the digitation of the Sub-bottom Profiler. An echo-logger is used to analyze the difference in depth generated by low and high frequencies. Side Scan Sonar is used to provide a visual appearance of the shape of the seabed or objects on the seabed, and Backscatter MBES is used to analyze the type of sediment at the bottom of the water. Overlay between the difference data of Echologger, Sub-bottom Profiler, and bathymetry in 2023, a hard layer in the study area indicates dredging. In addition, the bathymetry measurement in the research area in 2021 was 1-8 meters, while in 2023, it was 7-12 meters, and the depth difference between the two depths was 4 meters. Side Scan Sonar interpretation shows the hard layer and soft layer by the borehole retrieval point, and the results of the water bottom characteristics show sediments in the form of gravel, gravel silty sand, clay, and sandy clay.

Meaningful physical education: Towards an embodied pedagogy

International research on students’ meaningful experiences in physical education (PE) has led to the proposal of the Meaningful PE approach, aiming to guide pedagogical principles to support students’ meaningful experiences in PE. The approach currently includes democratic and reflective pedagogical principles. With this paper, we aim to contribute to the Meaningful PE approach by emphasizing the need to address a third pedagogical principle that attends to pre-reflective bodily dimensions of students’ meaningful experiences in PE. The democratic and reflective pedagogical principles are based on a reflective interpretation of the significance an experience holds. While this approach is highly valuable, the retrospective nature of these principles may unintentionally overlook significant pre-reflective bodily dimensions of experience. Drawing on a phenomenological concept of embodiment, we use key structures of our pre-reflective bodily engagement with the world to analyse features that young people describe as significantly contributing to their meaningful experiences in PE and youth sport: social interaction, challenge, motor competence, fun, and personally relevant learning. Our analysis reveals that pre-reflective bodily meaningful experiences emerge as something in-between the subject and the world. These experiences can be affected by others in body-to-body encounters and contain a dimension of negativity related to the pre-reflective, relational, and active–passive structure of our lived experience. Based on our analysis, we propose that teaching to support meaningful experiences in PE must address the dialectical interplay between reflective and pre-reflective dimensions. Therefore, we advocate for adding an embodied pedagogical principle to the Meaningful PE approach alongside the reflective and democratic principles.

Research on Stability of Removal Function in Figuring Process of Mandrel of X-Ray-Focusing Mirror with Variable Curvature.

Over the past 30 years, researchers have developed X-ray-focusing telescopes by employing the principle of total reflection in thin metal films. The Wolter-I focusing mirror with variable-curvature surfaces demands high precision. However, there has been limited investigation into the removal mechanisms for variable-curvature X-ray mandrels, which are crucial for achieving the desired surface roughness and form accuracy, especially in reducing mid-spatial frequency (MSF) errors. It is essential to incorporate flexible control in deterministic small-tool polishing to improve the tool's adaptability to curvature variations and achieve stable, Gaussian-like tool influence functions (TIFs). In this paper, we introduce a curvature-adaptive prediction model for compliance figuring, based on the Preston hypothesis, using a compliant shaping tool with high slurry absorption and retention capabilities. This model predicts the compliance figuring process of variable-curvature symmetrical mandrels for X-ray grazing incidence mirrors by utilizing planar tool influence functions. Initially, a variable-curvature pressure model was developed to account for the parabolic and hyperbolic optical surfaces' curvature characteristics. By introducing time-varying removal functions for material removal, the model establishes a variable-curvature factor function, which correlates actual downward pressure with parameters such as contact radius and contact angle, thus linking the variable-curvature surface with a planar reference. Subsequently, through analysis of the residence time distribution across different TIF models, hierarchical filtering, and PSD distribution, real-time correction of the TIFs was achieved to enable customized variable-curvature polishing. Furthermore, by applying a time-varying deconvolution algorithm, multiple rounds of flexible polishing iterations were conducted on the mandrels of a rotationally symmetric variable-curvature optical component, and the experimental results demonstrate a significant improvement in form accuracy, surface quality, and the optical performance of the mirror.

AXIOMATIZATION AND FORCING IN SET THEORY WITH URELEMENTS

Abstract In the first part of this paper, we consider several natural axioms in urelement set theory, including the Collection Principle, the Reflection Principle, the Dependent Choice scheme and its generalizations, as well as other axioms specifically concerning urelements. We prove that these axioms form a hierarchy over $\text {ZFCU}_{\text {R}}$ (ZFC with urelements formulated with Replacement) in terms of direct implication. The second part of the paper studies forcing over countable transitive models of $\text {ZFU}_{\text {R}}$ . We propose a new definition of ${\mathbb P}$ -names to address an issue with the existing approach. We then prove the fundamental theorem of forcing with urelements regarding axiom preservation. Moreover, we show that forcing can destroy and recover certain axioms within the previously established hierarchy. Finally, we demonstrate how ground model definability may fail when the ground model contains a proper class of urelements.

THE NO REFLECTIVE LOSS PRINCIPLE IS NOT AN OLD-FASHIONED CORPORATE LAW RELIC

Abstract Shareholders are not allowed to bring actions for damages due to a fall in share value or loss of dividend, which are “reflective” of their company’s loss. Later, this principle also found its application to “reflective” losses of employees and creditors. The Supreme Court, however, in Marex Financial v Sevilleja, unanimously held that the principle would apply only to shareholders and not to creditors. The article argues that, while the majority opinion in the Marex decision is reasonably balanced, the minority opinion went a step further by even doubting the very existence of the no reflective loss principle without properly appreciating what shareholding entails. If the minority’s position becomes the law, it will jeopardise companies’ existence as separate legal entities with the capacity to decide with respect to their assets. Further, if the protection of the principle is removed, companies’ counterparties will have to worry constantly about facing numerous direct shareholders’ actions, whether they settle the dispute with the company or not. As a result, if the minority view becomes the law, it can potentially make the company a less dependable commercial partner.

ПРИНЦИПИ НАВЧАННЯ ТА ОСОБЛИВОСТІ ЇХ РЕАЛІЗАЦІЇ У ПРОЦЕСІ ПІДГОТОВКИ МАЙБУТНІХ УЧИТЕЛІВ БІОЛОГІЇ ДО ОРГАНІЗАЦІЇ ДОСЛІДНИЦЬКОЇ ДІЯЛЬНОСТІ УЧНІВ

The article is devoted to the topical issue of training future biology teachers to organize students' research activities in the context of the transition to the New Ukrainian School. The article analyzes modern teaching principles that ensure effective training of future biology teachers to organize research activities in biology teaching. The features of the implementation of these principles in the educational process and their influence on the formation of future teachers' competencies necessary to create conditions for successful research work of students are considered. The purpose of the article is to systematize and analyze modern teaching principles that are the basis for preparing future teachers to organize students' research activities in biology; to study the peculiarities of implementing teaching principles in the training of future biology teachers. The following methods were used in the study: theoretical - included a detailed study of scientific literature and determination of the role of research in the general context of biological education, justification of the need to define the principles of training future teachers to organize research activities; empirical - involved direct observation of the educational process and analysis of the results of research work of students, which allowed to assess the real state of affairs in higher education institutions. The study determined that in order to effectively prepare future teachers to organize students' research activities, an integrated approach should be applied based on the following didactic principles: the principle of activity-based approach, the principle of personality-oriented approach, the principle of science, the principle of systematicity and consistency, the principle of practical orientation, the principle of creativity, the principle of cooperation, the principle of reflection, the principle of interactivity, the principle of integrative learning.

Evaluation of a school-based health promotion intervention in a resource-constrained community

The purpose of this study was to evaluate the outcome of a school-based health promotion intervention that was implemented in three primary schools in a resource-constrained community in Bronkhorstspruit, South Africa, among Grade 4 to 6 learners. I accordingly investigated the learners’, teachers’ and parents’ experiences, perceptions and potential behavioural changes in terms of healthy food practices after the implementation of the Win-LIFE (Wellness in Lifestyle, Intake, Fitness and Environment) intervention. The study forms part of a broader institutional project. I followed an evaluation research design, applying Participatory Reflection and Action (PRA) principles, an interpretivist paradigm and a qualitative approach. The conceptual framework was based on Bronfenbrenner’s (1979) bio-ecological theory and Bandura’s (1986) social cognitive learning theory. A purposeful sample of 31 learners, 18 teachers and 31 parents participated in PRA-based data-generation and documentation activities. In addition, I used observation-as-context-of-interaction, field notes, research diaries and audio-visual techniques. In terms of results, the teacher-participants valued the PRA-based nature and their involvement as partners in developing and implementing the intervention. They also perceived the intervention as valuable to others, experienced some challenges during the implementation and made certain recommendations for future implementation. The parent-participants indicated that they gained knowledge about healthy food practices because of the Win-LIFE intervention. They started applying their newly gained knowledge yet required additional guidelines. Finally, the learner-participants’ experiences (reported as part of two master’s studies) of the enriched Life Skills curriculum (Bentley, 2016) and Natural Sciences and Technology curriculum (De Vos, 2017) were positive. They valued the experiential and cooperative learning approach and supportive facilitators, resulting in positive learning outcomes and their application of the newly gained knowledge, despite some challenges they identified. The findings thus indicate that the Win-LIFE intervention was valuable to teachers, learners and parents, increasing their awareness of, as well as their knowledge and skills regarding healthy eating practices (food choice, production, preparation and storage) and healthy living, thereby enabling them to adopt a healthier lifestyle. Furthermore, the teachers’ repertoire ofteaching strategies was extended. The learners, on the other hand, began to engage in their own learning more actively, based on the confidence, discipline and ability that they gained to retain information. Learners also transferred their knowledge and skills to their parents and other family members.

Intergenerational service-learning through virtual exchange across a foreign language program

This paper reports on the implementation of intergenerational service-learning (SL) through virtual exchange (VE) across a German as a foreign language program at a private research institution on the East Coast in the U.S. The S-L integration started during the pandemic in intermediate courses as an outreach effort to Germanspeaking older adults in Germany and in the U.S. and has become a cornerstone of the German Program. Participants include intermediate and advanced German learners, two non-profit volunteer organizations in Germany that focus on improving the living conditions of older adults in society, one local U.S. community partner, and German heritage speakers in the U.S. Since Spring 2021, students have engaged with older adults in different formats (tandem, whole-group, a mix of both) via technology tools (landlines, Zoom, WhatsApp, Facetime). The Program is rooted in three experiential pedagogical approaches and frameworks, namely VE, S-L, and Intercultural Citizenship Education, which are driven by principles of reciprocity and reflection. The overall programmatic objective is to contribute to Diversity, Equity, Inclusion, and Belonging (DEIB) goals (community engagement, partnership formation) set forth in the institution’s strategic plan. Course learning outcomes include fostering intergenerational, intercultural, and language learning and raising students’ awareness towards challenges older adults may face. On the level of language program development, the Program provides opportunities for instructor-instructor collaborations, instructor-student collaborations, and communityengaged research.

Visible diffuse reflectance smartphone spectrometer with high spectral accuracy

A smartphone-based spectrometer employing principle of diffuse reflection is reported for the surface analysis of solid samples. The instrument utilizes a thin-film grating to diffract incoming light, while a diffuse reflecting surface projects the image of this diffracted light onto the detector plane. The CMOS camera of smartphone camera directly captures the diffusely reflected photons within its limited field-of-view thus eliminating the need for collection, conditioning and converging optics. The optical setup of the instrument provides facility to calibrate the spectral response considering the nonlinear distribution of the wavelength across the diffraction direction. Additional correction in the detector response at different light intensity results a reduced spectral error with a maximum wavelength resolution of δλ=0.08 nm/pixel in the camera within the spectral range Δλ = (400 – 700) nm. As a proof of the concept, the instrument demonstrates successful detection of color pigments in food samples by absorption measurement of the samples at an average spectral error < 6 %. The distinct absorption peak associated with standard food colors are compared against the absorption profile of unknown food colors used in pastry cake. This field-functional smart analysis with internet connectivity opens opportunity of identifying food adulteration by using toxic chemical colors at the point-of-test and immediate reporting to others. The overall instrument is fabricated by utilizing low-cost and light weight plastic wood to make compact (110 mm × 105 mm × 125 mm), robust, inexpensive (∼$ 50) and suitable for field-portable (∼145 gm) hand-held operation.

Large amplitude and small size ultrasonic milling for BT40 tool holders

Abstract The current ultrasonic milling tool holders are relatively long in structure, and the tool is susceptible to generating detrimental radial vibrations during high-speed rotation. To achieve high-quality milling of difficult-to-machine materials, a longitudinal-torsional ultrasonic oscillator suitable for BT40 tool holders has been proposed, which can generate a large amplitude while maintaining a compact length. A longitudinal vibration ultrasonic transducer with an exponential front cover is designed using the analytical method. Based on the principle of acoustic wave reflection, four spiral grooves are introduced on the exponential variable cross-section bar to convert the longitudinal vibration into longitudinal-torsional composite vibration. The effects of groove width, groove depth, and spiral angle on the longitudinal-torsional resonance were analyzed using the single-factor method in finite element software, and the optimal spiral groove parameter combination was determined. The longitudinal-torsional ultrasonic transducer is assembled with the BT40 tool holder to construct a longitudinal-torsional ultrasonic tool holder model, and modal analysis was performed. The resonant frequency was determined to be 22, 845 Hz. An experimental platform was established to carry out impedance analysis and amplitude testing on the longitudinal-torsional ultrasonic tool holder. The results show that its resonant frequency is 22, 152 Hz, which is slightly different from the simulation value. The tool holder’s maximum longitudinal amplitude is 11.2 μm, and the maximum torsional amplitude is 4.3 μm, with a torsional-to-longitudinal ratio of 0.38. The performance of the longitudinal-torsional ultrasonic tool holder meets the processing requirements of most ultrasonic milling applications, and the correctness of the design method is verified.

Harmonic extension through cylindrical and conical surfaces

This article describes recent progress concerning the extension of harmonic functions which vanish on a cylindrical or conical surface. The results, which are based on detailed analyses of various expansions of Green functions, can be viewed as partial generalizations of the well-known Schwarz reflection principle to surfaces other than hyperplanes and spheres. Some unexpected features emerge which suggest avenues for further exploration.

Dispersion-free characterization of terahertz slab–waveguide modal confinement based on a metal Bragg grating structure

Photonic waveguide structures that use periodic metal grooves and periodically perforated metal slits (PPMSs) can laterally confine Sommerfeld and Zenneck surface waves of metals with the electric field accumulation among metal interspaces in the terahertz (THz) region, instead of the total internal reflection principle of dielectric slab media. For the efficiency enhancements of THz-wave coupling and slab–waveguide confinement, specific integrators with high refractive indices or specified for input angles of transverse magnetic polarized waves, such as prisms, metal blades, and waveguides, are requested to excite spoof surface plasmons in the THz region. However, the integrator-assembled slab–waveguides encounter challenges of THz pulse-wave communication in compact and low-distortion systems. A resonant waveguide grating structure based on PPMSs is experimentally demonstrated to confine THz lateral waves from the plane-wave radiation in free space. The open frame and periodic metal cavities of PPMSs can work as a slab–waveguide to transmit structural confined waveguide modes with forwarding evanescent waves of Fabry–Pérot resonance. For 0.1–1 THz waves, the short wavelengths that are both less than half the metal slit width and 3.75 times the metal thickness can lead to zero dispersion and the highest confinement factor in a slab–waveguide for PPMS-confined THz waves. This behavior is opposite to the high structural dispersion in confined THz waves of surface plasmonic devices.

Archaeological investigation of burials preluded by ground penetrating radar and geospatial technologies

Ground penetrating radar (GPR) is a non-invasive and efficient scientific tool in burial analysis that can 'see the unseen,' answering both simple questions such as the existence and boundaries of burials, as well as more difficult questions like whether burials are intact or decayed. This paper reviews common reflection signatures associated with burials and applies the three fundamental GPR principles (dielectric contrast, scattering and polarity of reflections) to two distinct caseworks involving historical graves and civilian burials, which serve as benchmarks with known ground truth. It encompasses a third test case involving family tree research in a civilian cemetery, drawing upon the benchmarked results obtained from the first two caseworks. In adherence to geophysical signal reflection principles, our study discerns distinct hyperbolic traits associated with three burial types including intact shroud-wrapped, coffin burials, and decayed or mass-grave burials. A GPR-geospatial integration workflow incorporating GPR, aerial photogrammetry and global navigation satellite system - real time kinetics (GNSS-RTK), is derived to enhance the identification and investigation of burials using GPR. Our workflow encompasses a range of indicators for survey methods and burial classification, presenting a general framework for the systematic contextualization of tailored workflows to individual contexts. This work exemplifies the efficacy of GPR in the detection of burials that have been undisturbed for over a century in the soils of Hong Kong and how geophysics and geospatial science can address the limitations inherent in conventional desktop-based archaeological investigation. Its implications extend to professionals in diverse fields including historians, archaeologists, cemetery management officials, and even family members searching for their lost loved ones.

Ultrasonic Non-Destructive Testing and Evaluation of Stainless-Steel Resistance Spot Welding Based on Spiral C-Scan Technique.

In order to achieve the non-destructive testing and quality evaluation of stainless-steel resistance spot welding (RSW) joints, a portable ultrasonic spiral C-scan testing instrument was developed based on the principle of ultrasonic pulse reflection. A mathematical model for the quality evaluation of RSW joints was established, and the centroid of the ultrasonic C-scan image in the nugget zone of the RSW was determined based on the principle of static moment. The longest and shortest axes passing through the centroid in the image were extracted, and the ratio of the longest axis to the shortest axis (RLS) factor and the average of axis (AOA) factor were calculated, respectively, to evaluate the quality of the joint. To study the effectiveness of the detection results, tensile tests, and stereo analysis were conducted on the solder joints after sampling. The results indicate that this detection method can realize online detection and significantly improve the detection efficiency; the detection value of internal defect size is close to the true value with an error of 0.1 mm; the combination of RLS and AOA factors can be used to evaluate the mechanical properties of RSW joints. This technology can be used to solve the NDT, evaluate problems of RSW joints, and realize engineering applications.