Edited by: Tecnológico Superior Corporativo
Edwards Deming
January - March Vol. 6 - 2 - 2023
https://revista-edwardsdeming.com/index.php/es
e-ISSN: 2576-0971
Received: December 08, 2022
Approved: May 22, 2023
Page 42-53
Virtual reconstruction in traffic: a review of
techniques
Reconstrucción virtual en materia de tránsito: una revisión de
técnicas
María Fernanda Padilla Ortiz
*
Christian Esteban Rengifo Dávila
*
ABSTRACT
Virtual reconstruction of traffic scenes is an increasingly
useful tool for investigators and experts in the field. It
allows investigators to obtain a clearer picture of the
events surrounding a traffic accident, allowing for a more
accurate assessment of the data and a better understanding
of accident mechanisms. This qualitative research under a
systematic review presents the techniques and methods of
virtual reconstruction in traffic that have been developed
in recent years. As a result, eight articles published
between 2020 and 2023 that are part of high impact
repositories were obtained. It is concluded that virtual
reconstruction technology for the analysis of traffic
accident situations continues to make progress.
Keywords: Virtual reconstruction, forensic techniques,
accident analysis, 3d reconstructions, reconstruction
technology.
RESUMEN
La reconstrucción virtual de escenas de tránsito es una
herramienta cada vez más útil para los investigadores y
expertos en el campo. Permite a los investigadores
obtener una imagen más clara de los hechos que rodearon
un accidente de tránsito, lo que permite una evaluación
más precisa de los datos y una mejor comprensión de los
mecanismos de accidentes. Esta investigación de corte
cualitativo bajo una revisión sistemática presenta las
* Abogada de los tribunales y juzgados de la República. Universidad Nacional
de Chimborazo. mafer201215@gmail.com
https://orcid.org/0000-0003-3290-8374
Magíster en criminalística y ciencias forenses. Universidad Nacional de
Chimborazo. christianrengifo@hotmail.com
https://orcid.org/0000-0002-3367-8796
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técnicas y métodos de reconstrucción virtual en materia
de tránsito que se han desarrollado en los últimos años.
Como resultado se obtuvo ocho artículos publicados entre
el 2020 y 2023 que son parte de repositorios de alto
impacto. Se concluye que la tecnología de reconstrucción
virtual para el análisis de situaciones de accidentes de
tránsito sigue teniendo avances.
Palabras clave: Reconstrucción virtual, técnicas forenses,
análisis accidentes, reconstrucciones 3d, tecnología de
reconstrucción.
INTRODUCTION
Road traffic accidents are one of the leading causes of death and injury in the world.
Recent statistics show that more than 1.35 million people die each year in road traffic
crashes, and between 20 to 50 million are injured or disabled, moreover, this figure has
increased significantly in recent years. (World Health Organization (WHO), 2018).. In
Ecuador, in the year 2021, 2131 people were killed and 17 532 injured in traffic accidents,
which represents an increase of 33, 9 % and 33.8 % respectively compared to 2020. The
number of traffic accidents in Ecuador is worrisome, especially because of the number
of human lives lost as a result of these accidents. This situation has become a social
problem for various reasons (Saltos Salgado et al., 2005).(Saltos Salgado et al., 2020).
In the report published by INEC (2022) on traffic accidents details the most common
causes, where the driver's carelessness and recklessness with 43.5% is the main cause,
followed by disrespect for traffic signs with 21%, speeding with 14.3%, drunkenness or
drug use with 8%, pedestrian recklessness with 4.6% and other causes with 8.8%.
In addition, violators of the Organic Law of Land and Roads in Ecuador receive sanctions,
but this does not prevent the occurrence of these acts. This is due to the lack of
responsibility of those involved. As an example, Article 106 of the same Law determines
that "traffic infractions are those actions or omissions that, being able and should be
foreseen, but not wanted by the cause, are verified due to negligence, imprudence, or
inexperience, or due to non-observance of the laws, regulations, resolutions and other
traffic regulations" (Asamblea Nacional Constituyente, Asamblea Nacional
Constituyente, 2001). (National Constituent Assembly, 2008).
Therefore, in any traffic accident it is important to determine the cause and responsibility
for an accident, which is possible through forensic techniques because they allow
determining the speed of the vehicles involved, the direction of travel, the location of
the impact, any damage to the vehicle, evidence of reckless driving, and any other
relevant information to determine the cause of the accident.
In addition, accidents include the collection and analysis of physical evidence, the
collection and analysis of tire tracks, pavement marks, vehicle damage, steering and
speed tests, alcohol or drug tests, and other relevant tests. Once the physical evidence
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is collected, forensic experts conduct an analysis to determine the cause of the accident.
This involves observation of the physical evidence, flight line of objects related to the
accident, accident reconstruction, and vehicle trajectory reconstruction. The analysis
also involves studies of the braking and acceleration patterns of the vehicles involved.
They also collect and analyze documentary evidence. This evidence contains police
reports, witness reports, statements, ticket tickets, vehicle maintenance records,
information on the condition of the vehicles before the accident, and other documents
related to the accident to determine cause and liability.(Montes Loaiza et al., 2013; Tian
et al., 2010).In the same sense, Rodriguez (2017), states that there are major deficiencies
in the technical documentation related to the investigation and reconstruction of traffic
accidents and other forms of violent death.
With the advancement of technology it has been possible for forensic science to take
steps for the benefit of the investigation and in order to present evidence based on
information and communication technologies. Thus, this research presents a systematic
review of ICT-based methodologies and tools in traffic forensics developed in the last
decade.
MATERIALS AND METHODS
This research was based on the report of (Kitchenham, 2004) to conduct a systematic
review of the literature on methodologies and ICT techniques used for traffic accident
reconstruction to identify, evaluate and interpret all available relevant documentation. A
source selection strategy with inclusion and exclusion criteria was carried out, as well
as a predefined search to process all research related to the research question. This
made it possible to obtain and evaluate the available evidence to arrive at a synthesized
result.
The following research question was posed: What are the methodologies or techniques
available for the reconstruction of traffic accidents based on virtual technologies?
The next step was to determine the sources of information search, considering the
importance of reliable and relevant research, the use of academic articles, academic
congress reports found in the repositories of Science direct and Scielo was determined.
In relation to the search strategy, the keywords and terms used were "traffic
reconstruction", "crash reconstruction", "virtual methods accidents", "digital techiques
accidents", "traffic accident reconstructions", "3d traffic accidents". The temporality of
the articles was delimited between publications and preprints from the year 2020, and
articles written in English, considering that this is the language in which the journals with
the greatest impact publish on the subject.
Once the documents were obtained, the abstract was reviewed for agreement with the
research objective and the title search string "accident or techniques" was applied to the
terms.
Inclusion criteria
Articles and conference reports published from 2020 to 2023.
Articles found in Scopus.
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Open access documents.
Research and review articles.
Exlusion criteria
Articles and short communications.
Gray literature.
An article was only selected if it was found in more than one database.
Slides and books.
Table 1: Number of studies with search criteria
No
filters
Refined
search
Search
string/items.
Aligned to the
objective/summary
traffic
reconstruction
2214
473
86
8
crash
reconstruction
455
133
45
7
virtual methods
traffic
1755
540
22
11
26
Source: Researchers, 2023
Twenty-six articles were obtained, which were subjected to a more extensive reading
by the researchers and finally eight studies were selected that provide relevant
information for this research. The results and conclusions of the documents were read
in order to discover how these researchers have approached the topic of investigation
and the solutions or points of view that they disseminate. Table 2 presents the articles
analyzed.
Table 2: Detail of selected articles
Title
Authors
Magazine or main base
Using the scanners and drone
for comparison of point cloud
accuracy at traffic accident
analysis.
(Kamnik et al.,
2020)
Accident Analysis &
Prevention
Method for automated
generation of road accident
scene sketch based on data
from mobile device camera
(Saveliev et al.,
2020).
Proceed to
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Usage of Digital Evidence in
the Technical Analysis of
Traffic Collisions
(Malinová et al.,
2021).
Transportation Research
Procedia
Application of Close-Range
Photogrammetry in
Documenting the Location of
an Accident
(Stehel et al.,
2021).
14th International
scientific conference on
sustainable, modern and
safe transpor
Data-driven online traffic
reconstructions: Interactively
optimizing in virtual reality
(Wang et al., 2022)
Computers & Graphics
Using the iPhone's LiDAR
technology to capture 3D
forensic data at crime and
crash scenes
(Kottner et al., 2023).
Forensic Imaging
A feed-forwarded neural
network-based variational
Bayesian learning approach for
forensic analysis of traffic
accident.
(Xie et al., 2022).
Computer Methods in Applied
Mechanics and Engineering,
Circuits, Systems,
Communications and
Computers (CSCC),
International Conference on
(Sevcik et al., 2023).
Circuits, Systems,
Communications and
Computers (CSCC),
International Conference on
RESULTS
The eight selected papers were re-read taking into consideration how they answer the
research question. In the first paper that is part of this review it was determined that
the authors sought to test whether sketches obtained from different 3D point clouds
can be produced faster and more accurately than sketches obtained from classical police
measurements. To do so, they compared classical police work and sketching with
terrestrial laser scanners Riegl VZ-400i, Faro Focus S70, Geoslam ZebRevo 3D and data
collection from a Topcon Falcon 8 drone, all of which were used for 3D modeling and
sketching. They compared the accuracy using a graphical approach. For the subsequent
visual inspection of the traffic accident scene, the most suitable source is an orthophoto
obtained using the Surface from Motion (SfM) method, which is the result of processing
a series of georeferenced photographs taken from the UAV. They conclude that the
digital data provides the opportunity for a second look at the accident scene, whether
it is a quiet street or a busy road. The use of an accurate 3D representation of the scene,
such as a compilation of the crash data, can be helpful in addressing questions and doubts
that arise. This also provides the option to import directly into crash simulation tools,
such as PC-Crash or Analyser PR. (Kamnik et al., 2020)
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Thus, for the authors Saveliev et al. (2020) describe in their study that despite
government efforts to reduce the road fatality rate, road traffic accidents still occur
frequently and that accident scene sketches are performed manually in most countries,
which affects the quality and quantity of data collected. This poor quality of sketches
contributes to the return of cases for investigation. To improve this situation, the use
of an automatic RTA scene sketch generation system using mobile devices is proposed.
This will enable traffic officers to perform their work faster and more efficiently, increase
the accuracy and precision of traffic accident registration, and eliminate the subjectivity
of data presentation. The proposed method requires only a mobile device with a camera
to operate, which automatically generates sketches of road scenes. The process consists
of video recording vehicles and surrounding environments with a mobile device; building
maps and reconstructing the camera path using the SLAM method; reconstructing the
3D scene and classifying objects with convolutional neural networks; calibrating the scale
of the generated 3D scene and sizing the location of other objects; converting the 3D
model into a 2D RTA scene sketch. The developed system provides users with
recommendations on how to record video from different angles to capture all required
components, including the relative location of vehicles and static objects, vehicle damage
and surroundings within a 10 m radius. The video collected by the user will be
compressed on a mobile device and sent to a cloud for further processing. To generate
ATR scene sketches in an automated manner, we consider the basic stages of video
processing.
The ORB SLAM2 algorithm that is used offers faster initialization and operation, higher
model quality, and open source. It converts the video recorded by the user into a
sequence of frames, identifying features (key points) in each frame and positioning them
in a 3D space. The algorithm also generates an unoriented weighted visibility graph using
the keypoints and frames (Saveliev et al., 2020)
In the following research published by Malinová et al. (2021) they state that there are 3
ways to get data from the ECU: the first uses regular diagnostic tools, the second uses
the CDR (Crash Data Retrieval) system and the third uses the GIT Tool co. system.
Using diagnostic tools, maintenance and service related data can be read through the
OBD / OBD II socket. These records, known as freeze frame data, can be very useful
for accident analysis, although they are usually encrypted and only accessible to car
manufacturers. Thus, with this background, the authors state that the use of CDR (Crash
Data Retrieval) extracts and decodes the information stored in
The CDR system allows to extract and decode the information stored in the ACM
(Airbag Control Module). And that the data once downloaded can record up to 5
seconds before and after the accident, in addition to data on the speed difference, engine
speed, whether braking is taking place, the ignition cycle at the time of the collision, the
state of the seat belt and the state of the airbag. In addition, they specify that the data
must be stored securely to prevent tampering and be available to national authorities
for accident analysis. It must also be possible to accurately collect the model, version
and variation of the vehicle, as well as the active safety and accident prevention systems
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installed in the vehicle. The authors conclude that
15-20% of EDR (Event Data Recorder) equipped cars are on the roads of the European
Union and that these vehicles leave behind digital evidence after an accident, which can
be evaluated like any other forensic evidence. The CDR (Crash Data Recorder) system
allows the police, experts and forensic scientists to do a thorough job. This tool is
capable of recording 5 seconds before a crash, the moment of the collision and another
2 seconds of displacement, which provides an objective reconstruction of
accidents(Malinová et al., 2021)..
Another technique presented in this research is the use of short range photogrammetry
where the position of the camera is generally stationary, placed on the ground and used
for objects ranging in size from 0.5 m to 200 m. This technique is based on the creation
of a point cloud in space where one condition is
that all light rays should be at the same point on the measured object without appreciable
scattering. In addition, it is essential to evaluate the lighting conditions at the accident
site to ensure the quality of the images and documentation obtained. Direct sunlight and
lack of visibility without the use of lighting equipment can cause degraded results of the
site documentation. In so far as under the accident analyzed by (Stehel et al., 2021) which
had adverse conditions the result obtained was inaccurate due to insufficient illumination
of the scene and, consequently, difficult triangulation of the points in the captured images
because they were not identifiable in sufficient number in the individual images.
The authors of the research entitled "Data-driven online traffic reconstructions:
Interactively optimizing in virtual reality", proposed in their paper a 3D online traffic
reconstruction method based on video data and traffic simulations. The method
consisted of two parts: data preprocessing to obtain structured vehicle trajectories and
trajectory reconstruction to obtain complete and smooth vehicle trajectories.
Specifically, they first used the online MOT method to extract the vehicle trajectories
from the videos and transform them to the geodetic coordinate system using an inverse
projection transformation (IPP). Second, they introduced a traffic simulation method to
predict the vehicle trajectories and implemented the Kalman filter to optimize the
vehicle trajectories according to the extracted trajectories and the predicted
trajectories. Then, they iteratively optimized the traffic simulation parameters based on
the optimized trajectories using the Covariance Matrix Adaptive Evolutionary Strategies
of Adaptation (CMA-ES) algorithm when needed(Wang et al., 2022).
The following published paper aimed to evaluate the use of Recon-3D through example
scenarios to determine if this technology could be applied to record incident or crime
situations. The researchers used an iPhone 13 Pro along with the Recon-3D application
to record two indoor environments, a simulated crime situation and a garage, and an
external one of a parked car. Each location was captured multiple times and they
concluded that Recon-3D for iOS, which is equipped with Apple's latest LiDAR
technology, offers a simple and fast workflow for documenting in 3D with an iPhone or
iPad. Results from three test scenarios show that the imaging process is very
straightforward and allows forensic investigators or police officers to document a crime
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or accident within minutes. While more validation studies are needed, Recon-3D
appears to be a useful application for forensic pathologists(Kottner et al., 2023). A
published paper that, while not specifically describing a 3D reconstruction method or
technique, focuses on the development of an algorithm that vastly improves the
computation for 3D reconstructions. The researchers developed a computational
algorithm based on variational Bayesian learning that allowed them to inversely identify
the deformation field of a crashed car, calculate the residual deformation fields from the
final damaged structural configuration, and evaluate the strength of the crashed vehicles.
This technique allowed for greater computational efficiency by reducing the number of
iterations and improving the accuracy of the registration results, since the location of
the nodes was largely maintained during the registration process. These unique features
of the developed machine learning algorithm were found to be essential for forensic
analysis of traffic accidents and strength assessment of crashed vehicles(Xie et al., 2022)..
With respect to their perspective they state that for 3D reconstruction under a
sophisticated approach to crime scene documentation and in-depth forensic analysis the
quality of the results is strictly dependent on the source data, thus they propose an
evaluation triangle to assess the applicability of the method where they identify the
feasibility, critical requirements and individual factors for 3D reconstruction of crime
scenes. They further focus their proposal on an evaluation methodology that makes use
of the feasibility identification and evaluation triangle to address the existing dependency.
They presented a crime scene in a virtual reality workflow to show the connection
between the process and the individuals(Sevcik et al., 2023).
DISCUSSION
The first conclusion presented by this research is based on the methodology applied for
this systematic review, where the choice of the source of information allowed an
approach to everything that researchers have developed in recent years with respect to
crime scene reconstructions and provides a clear perspective on the subject and its
progress, especially in the European Union and the Asian continent, which have
published the most information. However, despite this, it is important to emphasize the
use of the resources as part of prototypes that can be used and are expected to be
adopted in research after being perfected and improved with the support of public and
private institutions.
As a second conclusion, traffic accident reconstruction technology has the potential to
significantly improve road safety. This technology has proven to be a useful tool for
recreating and analyzing the events surrounding a traffic accident, allowing traffic
authorities and investigators to better understand how accidents occurred and help
prevent future incidents. Technological advances also allow investigators to track vehicle
information, better understand impact dynamics, and obtain high-quality images for
better results. This contributes to a better understanding of traffic accidents and helps
develop better prevention methods.
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Finally, technology for traffic accident reconstruction also offers the possibility of
improving road safety through accident prevention. This is achieved through the use of
sensors, driver assistance devices and warning systems. These devices can detect
warning signs and alert the driver before an accident occurs. This helps prevent accidents
by reducing vehicle speed, providing greater road user awareness, and ensuring greater
safety for all road users. Traffic accident reconstruction technology also helps improve
road safety by collecting data for informed decision making and improved traffic signaling.
REFERENCES
National Constituent Assembly (2008). LEY ORGANICA DE TRANSPORTE TERRESTRE
TRANSITO Y SEGURIDAD VIAL. www.lexis.com.ec
INEC. (2022). Transportation Statistics.
https://www.ecuadorencifras.gob.ec/documentos/web-
inec/Estadisticas_Economicas/Estadistica%20de%20Transporte/2021/2021_SINIES
TROS_PPT.pdf
Kamnik, R., Nekrep Perc, M., & Topolšek, D. (2020). Using the scanners and drone for
comparison of point cloud accuracy at traffic accident analysis. Accident Analysis &
Prevention, 135, 105391. https://doi.org/10.1016/J.AAP.2019.105391.
Kitchenham, B. (2004). Procedures for Performing Systematic Reviews.
Kottner, S., Thali, M. J., & Gascho, D. (2023). Using the iPhone's LiDAR technology to
capture 3D forensic data at crime and crash scenes. Forensic Imaging, 32, 200535.
https://doi.org/10.1016/J.FRI.2023.200535.
Malinová, K., Kasanický, G., & Podhorský, J. (2021). Usage of Digital Evidence in the
Technical Analysis of Traffic Collisions. Transportation Research Procedia, 55, 1737-
1744. https://doi.org/10.1016/J.TRPRO.2021.07.166.
https://doi.org/10.1016/J.TRPRO.2021.07.166
Montes Loaiza, G. A., Otálora Daza, A. F., & Archila, G. A. (2013). Applications of
conventional radiology in the medical-forensic field. Revista Colombiana de
Radiología, 24(4). https://repository.javeriana.edu.co/handle/10554/51344.
https://repository.javeriana.edu.co/handle/10554/51344.
World Health Organization. (2018, December 7). New WHO report highlights that
progress has been insufficient in addressing the lack of safety on the world's roads. World
Health Organization (WHO) (PAHO).
https://www3.paho.org/hq/index.php?option=com_content&view=article&id=148
57:new-who-report-highlights-insufficient-progress-to-tackle-lack-of-safety-on-
the-world-s-roads&Itemid=0&lang=es#gsc.tab=0
Rodríguez, F. (2017). MANUAL OF TOPOGRAPHY APPLIED TO TRAFFIC ACCIDENT
INVESTIGATION AND RECONSTRUCTION SCIENTIFIC ARTICLE (Vol. 11, Issue 2).
Saltos Salgado, M. F., Valverde Torres, Y. L., & Toapanta Jiménez, L. (2020). Concept
mapping as a tool for understanding the causes of traffic accidents. Universidad y
Sociedad, 12(S(1)), 388-397. https://rus.ucf.edu.cu/index.php/rus/article/view/1803.
51
51
Edwards Deming Corporate Technology - July - September Vol. 6 - 2 - 2023 https://revista-edwardsdeming.com/index.php/es
e-ISSN: 2576-0971
Saveliev, A., Izhboldina, V., Letenkov, M., Aksamentov, E., & Vatamaniuk, I. (2020).
Method for automated generation of road accident scene sketch based on data
from mobile device camera. Transportation Research Procedia, 50, 608-613.
https://doi.org/10.1016/J.TRPRO.2020.10.072.
Sevcik, J., Adamek, M., & Mach, V. (2023). Crime Scene Testimony in Virtual Reality
Applicability Assessment. 6–10. https://doi.org/10.1109/CSCC55931.2022.00010
Stehel, S., Vertal, P., & Demcáková, L. (2021). Application of Close-Range
Photogrammetry in Documenting the Location of an Accident. 14th International
Scientific Conference on Sustainable, Modern and Safe Transpor, 55, 1657-1664.
https://doi.org/10.1016/J.TRPRO.2021.07.156.
Tian, R., Yang, Z., & Zhang, M. (2010). Method of road traffic accidents causes analysis
based on data mining. 2010 International Conference on Computational Intelligence
and Software Engineering, CiSE 2010. https://doi.org/10.1109/CISE.2010.5677030.
https://doi.org/10.1109/CISE.2010.5677030
Wang, H., He, Y., Wang, Z., Li, G., Xiao, Y., & Xul Mingliang (2022). Data-driven online
traffic reconstructions: Interactively optimizing in virtual reality. Computers &
Graphics, 105, 85-93. https://doi.org/10.1016/J.CAG.2022.03.012.
Xie, YuxiWuC., Li, B., Hu, X., & Li, S. (2022). A feed-forwarded neural network-based
variational Bayesian learning approach for forensic analysis of traffic accident.
Computer Methods in Applied Mechanics and Engineering, 397, 115148.
https://doi.org/10.1016/J.CMA.2022.115148.
cts of the Flipped Model of Instruction on Student Engagement and Performance in the
Secondary Mathematics Classroom. The Journal of Educators Online, 12(1), 91-115.
https://doi.org/10.9743/jeo.2015.1.5
Fúneme, C. (2019). The inverted classroom and the construction of knowledge in
mathematics . The case of the applications of the derivative. Tecné, Episteme and
Didaxis: TED, 45, 159-174.
Gallardo, K., Alvarado, M., Lozano, A., López, C., & Gudiño, S. (2017). Digital Materials
to Strengthen Disciplinary Learning in Higher Secondary Education: A Study to
Understand How Educational Change is Suscitated. REICE. Revista Iberoamericana
Sobre Calidad, Eficacia y Cambio En Educación, 15(2), 89-109.
https://doi.org/10.15366/reice2017.15.2.005
Guerrero, C. (2019). Teaching equations and systems of first-degree equations using Flipped
Classroom for 2nd ESO students [Universidad Internacional de La Rioja].
https://reunir.unir.net/bitstream/handle/123456789/9457/Guerrero Coello%2C
Cristina Judith.pdf?sequence=1&isAllowed=y
Holguín, A., Barcia, F., & Arteaga, R. (2016). Ciencias de la Educación Fundamentos
teóricos acerca del saber de las matemáticas Theoretical Foundations on the
Knowledge of Mathematics fundamentos teóricos sobre o conhecimento da
matemática. Ciencias de La Educación, 2(4), 284-295.
http://dominiodelasciencias.com/ojs/index.php/es/index
Jiménez, F. (2019). Methodological obstacles in the study of school dropout in the public
52
52
Edwards Deming Corporate Technology - July - September Vol. 6 - 2 - 2023 https://revista-edwardsdeming.com/index.php/es
e-ISSN: 2576-0971
educational system of Girardot. Revista Conrado, 15(68), 149-153.
http://conrado.ucf.edu.cu/ index.php/conrado%0ARESUMEN.
Kumar, K., Chang, C., & Chang, C. (2016). The Impact of the Flipped Classroom on
Mathematics Concept Learning in High School. Educational Technology & Society,
19(3), 134-142.
https://www.jstor.org/stable/jeductechsoci.19.3.134?seq=1#metadata_info_tab_c
ontents
Lai, C., & Hwang, G. (2016). A self-regulated flipped classroom approach to improving
students' learning performance in a mathematics course. Computers & Education,
100, 126-140. https://doi.org/10.1016/j.compedu.2016.05.006
Llanos, G., & Bravo, J. (2017). Flipped classroom as a bridge to new challenges in primary
education. Revista Tecnología, Ciencia y Educación, 8, 39-49.
https://dialnet.unirioja.es/servlet/articulo?codigo=6159622.
Lo, C., Lie, C., & Hew, K. (2018). Applying "First Principles of Instruction" as a design
theory of the flipped classroom: Findings from a collective study of four secondary
school subjects. Computers & Education, 118, 150-165.
https://doi.org/10.1016/j.compedu.2017.12.003.
Madrid, E., Armenta, J., Prieto, M., Fernández, M., & Olivares, K. (2018). Implementation
of inverted classroom in a propaedeutic course of mathematical ability in
baccalaureate. Apertura, 10(1), 24-39. https://doi.org/10.18381/Ap.v10n1.1149.
Mendoza, J. (2017). El Aula Invertida Y Los Resultados De Aprendizaje En Estudiantes De
Quinto Grado, De La Escuela De Educación Básica "Dr. Luis Ángel Tinoco Gallardo",
Cantón Playas, Provincia Del Guayas, Período 2015- 2016.
https://repositorio.upse.edu.ec/bitstream/46000/4089/1/UPSE-TEB-2016-0091.pdf
Moncada, J. (2013). MODELO EDUCATIVO BASADO EN COMPETENCIAS (2nd ed., p. 256).
Editorial Trillas. https://books.google.com.ec/books?id=hkyxnQAACAAJ
Núñez, J., & Rodríguez, J. (2020). Inverted classroom with the use of technological
resources: its effects on learning and attitude towards mathematics in a sample of
students in honduras. RIEE | International Journal of Studies In Education, 20(1), 42-
56. https://doi.org/10.37354/riee.2020.200
Oviedo, T. (2018). ANALYSIS OF THE MATHEMATICAL AND DIDACTIC
DIMENSIONS OF DIDACTIC-MATHEMATICAL KNOWLEDGE OF PERUVIAN
TEACHERS ON THE NOTION OF FUNCTION. Clame, 31(2), 1181-1188.
Park, J., & Choi, Y. (2017). Performance analysis of rate control scheme considering
queue dynamics. Annales Des Telecommunications/Annals of Telecommunications,
52(9-10), 465-475. https://doi.org/10.1007/BF02998475.
Pastes, L., Terán, H., Sotelo, F., Solarte, M., Sepulveda, C., & López, J. (2020).
Bibliographic Review of the Flipped Classroom Model in High School: A Look from
the Technological Tools. Journal of Information Technology Education: Research, 19,
451-474. https://doi.org/10.28945/4605
Pochulu, M., & Font, V. (2011). ANALYSIS OF THE FUNCTIONING OF A NON-
MEANINGFUL MATHEMATICS CLASS. Revista Latinoamericana de Investigación En
53
53
Edwards Deming Corporate Technology - July - September Vol. 6 - 2 - 2023 https://revista-edwardsdeming.com/index.php/es
e-ISSN: 2576-0971
Matemática Educativa, 14(3), 361-394.
Rahmadani, Herman, T., Dareng, S., & Bakri, Z. (2020). Education for industry revolution
4.0: using flipped classroom in mathematics learning as alternative. Journal of Physics:
Conference Series, 1521(3), 032038. https://doi.org/10.1088/1742-
6596/1521/3/032038
Seitan, W., Ajlouni, A., & Al-Shara'h, N. (2020). The Impact of Integrating Flipped
Learning and Information and Communication Technology on the Secondary
School Students' Academic Achievement and Their Attitudes Towards It.
International Education Studies, 13(2), 1. https://doi.org/10.5539/ies.v13n2p1
Tarazi, N. (2016). The Influence of the Inverted Classroom on Student Achievement and
Motivation for Learning in Secondary Mathematics in the United Arab Emirates: A
Quasi-Experimental Study [Northcentral University Graduate]. In ProQuest
Dissertations Publishing.
https://search.proquest.com/openview/3ff9de40d7fffc132c3caf449789248e/1?pq-
origsite=gscholar&cbl=18750&diss=y
Tünnermann, C. (2008). Educational and academic models. In A. Casco (Ed.), Editorial
Hispamer (4th ed.). Editorial Hispamer.
https://www.enriquebolanos.org/media/publicacion/Modelos educativos y
academicos.pdf
Vega, J., Niño, F., & Cárdenas, Y. (2015). Teaching basic mathematics in an e-Learning
environment: a case study of the Virtual Manuela Beltrán University. Revista EAN,
0(79), 172-185.
Wei, X., Cheng, I.-L., Chen, N.-S., Yang, X., Liu, Y., Dong, Y., Zhai, X., & Kinshuk. (2020).
Effect of the flipped classroom on the mathematics performance of middle school
students. Educational Technology Research and Development, 68(3), 1461-1484.
https://doi.org/10.1007/s11423-020-09752-x.