Effects of Collaborative Digital Gameplay on Students’ Three Dimensions of Engagement in Mathematics

2022 ◽  
Vol 12 (1) ◽  
pp. 0-0

This study attempts to provide an in-depth understanding of the influence of collaborative digital gameplay on students’ behavioural, emotional and cognitive engagement in mathematics. This mixed-method study used pre- (N = 45) and post-test (N = 43) engagement surveys and photo-elicitation interviews (N = 6) to investigate how a six-day experiment involving collaborative digital gameplay on Wuzzit Trouble affects students’ engagement in mathematics. The quantitative results showed collaborative digital gameplay did not elicit a significant increase in students’ engagement in mathematics from pre-test to post-test. Moreover, the qualitative results of analyzing the measurement of three-dimensional engagement showed four factors – learning achievement, teacher support, peer collaboration and task characteristics – were associated with students’ engagement in a collaborative digital gameplay classroom. The findings suggest the classroom context plays an important role in three-dimensional engagement, which efficiently improve students’ conceptual understanding and arithmetic skills.

2014 ◽  
Vol 61 (1) ◽  
pp. 113-120
Author(s):  
Andrej Šafhalter ◽  
Srečko Glodež ◽  
Boris Aberšek ◽  
Karin Bakračevič Vukman

In recent years 3D modeling has been increasingly utilized during product design in lower secondary schools as well. Its greatest advantage over classical technical drawing and 2D drawing software lies in the fact students are able to observe the object they are designing from all the viewpoints of a virtual three-dimensional space. Since thinking and visualization in the process of object design also appear in three dimensions, the mental manipulation and guesswork required from students in order to add another dimension to an object pictured on a level plane are no longer necessary. Additionally, 3D modeling has a range of contributions to the cognitive development of children, which was also the subject of this research. The central question raised was whether students are able to improve their spatial ability by using modeling tools. The research included 196 students aged between 11– 15 years, of which 95 were placed in the experimental group and 101 in the control group. Spatial ability was measured using pre-test and post-test. Key words: 3D modeling, cognitive development, spatial ability, visualization.


Author(s):  
J. A. Eades ◽  
A. E. Smith ◽  
D. F. Lynch

It is quite simple (in the transmission electron microscope) to obtain convergent-beam patterns from the surface of a bulk crystal. The beam is focussed onto the surface at near grazing incidence (figure 1) and if the surface is flat the appropriate pattern is obtained in the diffraction plane (figure 2). Such patterns are potentially valuable for the characterization of surfaces just as normal convergent-beam patterns are valuable for the characterization of crystals.There are, however, several important ways in which reflection diffraction from surfaces differs from the more familiar electron diffraction in transmission.GeometryIn reflection diffraction, because of the surface, it is not possible to describe the specimen as periodic in three dimensions, nor is it possible to associate diffraction with a conventional three-dimensional reciprocal lattice.


1997 ◽  
Vol 84 (1) ◽  
pp. 176-178
Author(s):  
Frank O'Brien

The author's population density index ( PDI) model is extended to three-dimensional distributions. A derived formula is presented that allows for the calculation of the lower and upper bounds of density in three-dimensional space for any finite lattice.


2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Nima Afkhami-Jeddi ◽  
Henry Cohn ◽  
Thomas Hartman ◽  
Amirhossein Tajdini

Abstract We study the torus partition functions of free bosonic CFTs in two dimensions. Integrating over Narain moduli defines an ensemble-averaged free CFT. We calculate the averaged partition function and show that it can be reinterpreted as a sum over topologies in three dimensions. This result leads us to conjecture that an averaged free CFT in two dimensions is holographically dual to an exotic theory of three-dimensional gravity with U(1)c×U(1)c symmetry and a composite boundary graviton. Additionally, for small central charge c, we obtain general constraints on the spectral gap of free CFTs using the spinning modular bootstrap, construct examples of Narain compactifications with a large gap, and find an analytic bootstrap functional corresponding to a single self-dual boson.


2012 ◽  
Vol 696 ◽  
pp. 228-262 ◽  
Author(s):  
A. Kourmatzis ◽  
J. S. Shrimpton

AbstractThe fundamental mechanisms responsible for the creation of electrohydrodynamically driven roll structures in free electroconvection between two plates are analysed with reference to traditional Rayleigh–Bénard convection (RBC). Previously available knowledge limited to two dimensions is extended to three-dimensions, and a wide range of electric Reynolds numbers is analysed, extending into a fully inherently three-dimensional turbulent regime. Results reveal that structures appearing in three-dimensional electrohydrodynamics (EHD) are similar to those observed for RBC, and while two-dimensional EHD results bear some similarities with the three-dimensional results there are distinct differences. Analysis of two-point correlations and integral length scales show that full three-dimensional electroconvection is more chaotic than in two dimensions and this is also noted by qualitatively observing the roll structures that arise for both low (${\mathit{Re}}_{E} = 1$) and high electric Reynolds numbers (up to ${\mathit{Re}}_{E} = 120$). Furthermore, calculations of mean profiles and second-order moments along with energy budgets and spectra have examined the validity of neglecting the fluctuating electric field ${ E}_{i}^{\ensuremath{\prime} } $ in the Reynolds-averaged EHD equations and provide insight into the generation and transport mechanisms of turbulent EHD. Spectral and spatial data clearly indicate how fluctuating energy is transferred from electrical to hydrodynamic forms, on moving through the domain away from the charging electrode. It is shown that ${ E}_{i}^{\ensuremath{\prime} } $ is not negligible close to the walls and terms acting as sources and sinks in the turbulent kinetic energy, turbulent scalar flux and turbulent scalar variance equations are examined. Profiles of hydrodynamic terms in the budgets resemble those in the literature for RBC; however there are terms specific to EHD that are significant, indicating that the transfer of energy in EHD is also attributed to further electrodynamic terms and a strong coupling exists between the charge flux and variance, due to the ionic drift term.


Author(s):  
Jonna Nyman

Abstract Security shapes everyday life, but despite a growing literature on everyday security there is no consensus on the meaning of the “everyday.” At the same time, the research methods that dominate the field are designed to study elites and high politics. This paper does two things. First, it brings together and synthesizes the existing literature on everyday security to argue that we should think about the everyday life of security as constituted across three dimensions: space, practice, and affect. Thus, the paper adds conceptual clarity, demonstrating that the everyday life of security is multifaceted and exists in mundane spaces, routine practices, and affective/lived experiences. Second, it works through the methodological implications of a three-dimensional understanding of everyday security. In order to capture all three dimensions and the ways in which they interact, we need to explore different methods. The paper offers one such method, exploring the everyday life of security in contemporary China through a participatory photography project with six ordinary citizens in Beijing. The central contribution of the paper is capturing—conceptually and methodologically—all three dimensions, in order to develop our understanding of the everyday life of security.


2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Rodolfo Panerai ◽  
Antonio Pittelli ◽  
Konstantina Polydorou

Abstract We find a one-dimensional protected subsector of $$ \mathcal{N} $$ N = 4 matter theories on a general class of three-dimensional manifolds. By means of equivariant localization we identify a dual quantum mechanics computing BPS correlators of the original model in three dimensions. Specifically, applying the Atiyah-Bott-Berline-Vergne formula to the original action demonstrates that this localizes on a one-dimensional action with support on the fixed-point submanifold of suitable isometries. We first show that our approach reproduces previous results obtained on S3. Then, we apply it to the novel case of S2× S1 and show that the theory localizes on two noninteracting quantum mechanics with disjoint support. We prove that the BPS operators of such models are naturally associated with a noncom- mutative star product, while their correlation functions are essentially topological. Finally, we couple the three-dimensional theory to general $$ \mathcal{N} $$ N = (2, 2) surface defects and extend the localization computation to capture the full partition function and BPS correlators of the mixed-dimensional system.


2020 ◽  
Vol 16 (1) ◽  
pp. 87-121
Author(s):  
Bárbara Eizaga-Rebollar ◽  
Cristina Heras-Ramírez

AbstractThe study of pragmatic competence has gained increasing importance within second language assessment over the last three decades. However, its study in L2 language testing is still scarce. The aim of this paper is to research the extent to which pragmatic competence as defined by the Common European Framework of Reference for Languages (CEFR) has been accommodated in the task descriptions and rating scales of two of the most popular Oral Proficiency Interviews (OPIs) at a C1 level: Cambridge’s Certificate in Advanced English (CAE) and Trinity’s Integrated Skills in English (ISE) III. To carry out this research, OPI tests are first defined, highlighting their differences from L2 pragmatic tests. After pragmatic competence in the CEFR is examined, focusing on the updates in the new descriptors, CAE and ISE III formats, structure and task characteristics are compared, showing that, while the formats and some characteristics are found to differ, the structures and task types are comparable. Finally, we systematically analyse CEFR pragmatic competence in the task skills and rating scale descriptors of both OPIs. The findings show that the task descriptions incorporate mostly aspects of discourse and design competence. Additionally, we find that each OPI is seen to prioritise different aspects of pragmatic competence within their rating scale, with CAE focusing mostly on discourse competence and fluency, and ISE III on functional competence. Our study shows that the tests fail to fully accommodate all aspects of pragmatic competence in the task skills and rating scales, although the aspects they do incorporate follow the CEFR descriptors on pragmatic competence. It also reveals a mismatch between the task competences being tested and the rating scale. To conclude, some research lines are proposed.


2020 ◽  
pp. 101749
Author(s):  
Noah Hass-Cohen ◽  
Rebecca Bokoch ◽  
Katherine Goodman ◽  
K.J. Conover

2021 ◽  
Author(s):  
Roland Tormey

AbstractStudent-teacher relationships play an important role in both teacher and student experiences in higher education and have been found to be linked to learning, classroom management, and to student absenteeism. Although historically conceptualised in terms of immediacy or distance and measured with reference to behaviours, the growing recognition of the role of emotions and of power—as well as the development of a range of multidimensional models of social relationships—all suggest it is time to re-evaluate how student-teacher relationships are understood. This paper develops a theoretical model of student-teacher affective relationships in higher education based on three dimensions: affection/warmth, attachment/safety, and assertion/power. The three-dimensional model was tested using the Classroom Affective Relationships Inventory (CARI) with data from 851 students. The data supported the use of this multidimensional model for student-teacher relationships with both two- and three-dimensional models of relationships being identified as appropriate. The theoretical development of a multidimensional model and the empirical development of an instrument with which to explore these dimensions has important implications for higher education teachers, administrators and researchers.


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