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DOI : https://doi.org/10.56712/latam.v5i5.2962
Intervenciones educativas para mejora=
r el
rendimiento en matemáticas de estudiantes con discalculia en
bachillerato
Educational interventions=
span> to improve the
mathematics performance of=
students with dyscalculia
in high school =
=
b>
Marcelo Francisco Ruiz García
kasoruiz@hotmail.com =
https://orcid.org /0009-0002-2701-654X
Universidad Estatal de Milagro
Rocafuete , Manabí – Ecuador
Silvia Alexandra Escobar =
Sanchez
silvyalexa001@gmail.com
https://orcid.org /0009-0001-5011-6402
Universidad Estatal de Milagro
Quito – Ecuador
Monica De Los Angeles
Vilatuña Canchigña
monica.vp1976@gmail.com
https://orcid.org /=
0009-0006-9130-3008
Universidad Estatal de Milagro
Quito – Ecuador
Cristian Leonardo Hernández Sandoval
chernandezs4@unemi.edu.ec =
https://orcid.org /=
0009-0005-6451-075X
Universidad Estatal de Milagro
Quito – Ecuador
Vilma Cecilia Eras Eras <=
/b>
cecilia_eras@hotmail.com <=
span
lang=3DES-MX style=3D'font-size:9.0pt;font-family:Roboto;mso-fareast-font-f=
amily:
Roboto;mso-bidi-font-family:Roboto'>
https://orcid.org /=
0009-0000-7456-1327
Universidad Estatal de Milagro
Quito– Ecuador
Artículo recibido: 28 de octubre de 202=
4.
Aceptado para publicación: 11 de noviembre de 2024.
Conflictos de Interés: Ninguno que
declarar.
<=
/p>
Resumen<=
/o:p>
Este
artículo aborda las dificultades que enfrentan los estudiantes de
bachillerato con discalculia, un trastorno del aprendizaje que afecta el
procesamiento numérico y el rendimiento en matemáticas. La
investigación se centra en identificar intervenciones educativas
eficaces que mejoren las habilidades matemáticas y reduzcan la ansie=
dad
asociada. A través de un enfoque metodológico mixto, se
analizaron los resultados de entrevistas y encuestas aplicadas a estudiantes
con discalculia y sus profesores, permitiendo evaluar las estrategias
pedagógicas implementadas. Los hallazgos revelan que la
simplificación de conceptos y el uso de ejemplos adaptados favorecen=
la
comprensión. Además, se destaca la relevancia de las
tutorías personalizadas y la integración de recursos
tecnológicos para mejorar el desempeño académico. Los
resultados sugieren que las intervenciones adaptadas no solo incrementan el
rendimiento, sino que también fomentan la confianza y motivaci&oacut=
e;n
de los estudiantes, promoviendo una educación más inclusiva y
equitativa. Finalmente, el artículo resalta la importancia de seguir
investigando y ajustando las estrategias educativas para maximizar su
efectividad.
Palabras clave: discalculia, estudiantes,m=
atemáticas ,
bachillerato, rendimiento académico
Abstract
This article examines the challenges faced by high school
students with dyscalculia , a learning disorder=
that impairs numerical
processing and mathematica=
l
performance. The research =
aims
to identify effective educational interventions that enhance mathematical skills and reduce associated anxiety . Using a mixed-method approach , in=
terviews
and surveys were conducted with students with dyscalculia
and their teachers =
to evaluate the
impact of various pedagogical strategies . Findings reveal that simplifying
concepts and providing tailored examples enhance understanding . Additionally , the use of personalized tutoring and technological tools significantly improves academic perform=
ance.
The results indicate that adapted interventions
not only boost students ’ academic success but also increase
their confidence an=
d motivation , fostering more
inclusive and equitable ed=
ucation .
The article emphasizes the need for
continuous research =
and refinement of educational
strategies to ensure optimal effectiveness .
Keywords : dyscalculia , students , mathem=
atics ,
high school , academic performance
Todo el contenido
de LATAM Revista Latinoamericana de Ciencias Sociales y Humanidades,
publicado en este sitio está disponibles bajo Licencia <=
span
lang=3DES-MX style=3D'color:black;mso-color-alt:windowtext'>Creative Commons .
Cómo citar: Ruiz
García, M. F., Escobar Sanchez , S. A.,
Vilatuña Canchigña=
span> , M. D. L. A., Hernández Sandoval, C. L., &=
; Eras
Eras, V. C. (2024). Intervenciones educativas para mejorar el rendimiento en
matemáticas de estudiantes con discalculia en bachillerato. LATAM Revista Latinoamericana de Cienc=
ias
Sociales y Humanidades 5 (5), 5109 – 5140. https://doi.org/10.56712/<=
span
class=3DSpellE>latam.v5i5.2962
INTRODUCCI&Oacu=
te;N
La discalculia =
es
un trastorno del aprendizaje específico en matemáticas,
caracterizado por dificultades significativas en el procesamiento
numérico y en el aprendizaje de conceptos aritméticos
básicos, que no son atribuibles a una discapacidad intelectual gener=
al o
a una educación inadecuada (American Psychiatri=
c
Association , 2013). En el contexto educativo, l=
os
estudiantes con discalculia enfrentan desafíos considerables en su
rendimiento académico en matemáticas, lo que puede afectar su
autoestima y su actitud hacia el aprendizaje. Este planteamiento del proble=
ma
se centra en la necesidad de desarrollar e implementar intervenciones
educativas eficaces para mejorar el rendimiento en matemáticas de los
estudiantes con discalculia en bachillerato.
El diagnó=
;stico
de discalculia afecta aproximadamente al 3-7% de la población
estudiantil, lo que indica una necesidad considerable de apoyo educativo
especializado (Butterworth et al., 2020). Las políticas educativas
contemporáneas fomentan la integración de alumnos con necesid=
ades
educativas especiales en las aulas convencionales, lo cual implica la
modificación de las estrategias pedagógicas para satisfacer l=
as
variadas necesidades de aprendizaje. (European =
Commission , 2020)
La
matemática es una asignatura fundamental que no solo es esencial par=
a el
éxito académico general, sino también para el desarrol=
lo
de habilidades de pensamiento crítico y resolución de problem=
as
que son cruciales en la vida cotidiana y en el futuro profesional de los
estudiantes (Kaufmann et al., 2021). Los estudiantes con discalculia a menu=
do
experimentan ansiedad matemática, lo que agrava sus dificultades y c=
rea
un ciclo negativo de bajo rendimiento y desmotivación (Sorvo et al., 2017). Por lo tanto, es crucial desarro=
llar
intervenciones educativas que no solo mejoren sus habilidades
matemáticas, sino que también reduzcan la ansiedad y aumenten=
su
confianza en sus capacidades.
<=
span
style=3D'mso-list:Ignore'>●<=
span
style=3D'mso-list:Ignore'>●<=
span
style=3D'mso-list:Ignore'>●<=
span
style=3D'mso-list:Ignore'>●●
¿Cuáles son las intervenciones educativas
más efectivas para mejorar el rendimiento en matemáticas de l=
os
estudiantes con discalculia en el nivel de secundaria?
La
justificación de esta investigación se basa en varias razones
fundamentales como la necesidad académica siendo la discalculia una
condición común que afecta el rendimiento académico de=
un
porcentaje significativo de estudiantes. Sin intervenciones adecuadas, estos
estudiantes están en riesgo de sufrir un retraso académico
considerable, lo que puede tener implicaciones a largo plazo en su
educación y sus oportunidades laborales (Butterworth et al., 2020).<=
o:p>
Así mism=
o,
una inclusión educativa donde las políticas educativas modern=
as
enfatizan la importancia de la inclusión, donde todos los estudiante=
s,
independientemente de sus capacidades, tienen derecho a una educació=
n de
calidad en un entorno inclusivo (European Commission , 2020). Esta investigación
contribuirá a desarrollar estrategias que permitan a los estudiantes=
con
discalculia participar plenamente y beneficiarse del currículo regul=
ar.
Otras de las
razones importantes son el impacto emocional y psicológico donde la
ansiedad matemática y las dificultades persistentes en
matemáticas pueden llevar a una baja autoestima y una actitud negati=
va
hacia la escuela en general. Al abordar estas dificultades de manera efecti=
va,
se puede mejorar el bienestar emocional y psicológico de los estudia=
ntes
(Sorvo et al., 2017).
Finalmente, la
contribución al conocimiento donde existe una necesidad continua de
investigación en el campo de las dificultades de aprendizaje para
desarrollar y validar intervenciones basadas en la evidencia. Este estudio
contribuirá al cuerpo de conocimiento existente y proporcionar&aacut=
e;
recomendaciones prácticas para los educadores (Kaufmann et al., 2021=
).
La
identificación de intervenciones educativas efectivas para estudiant=
es
con discalculia en matemáticas no solo contribuirá a mejorar =
su
rendimiento académico, sino que también favorecerá su
inclusión y bienestar emocional en el entorno escolar. Un enfoque
pedagógico adaptado puede ayudar a estos estudiantes a desarrollar u=
na
relación positiva con las matemáticas, aumentar su autoestima=
y
fomentar su independencia académica y social.
Además, =
este
estudio proporcionará a los docentes herramientas prácticas y
basadas en la evidencia para abordar las necesidades específicas de =
sus
estudiantes, promoviendo una educación más equitativa e
inclusiva.
El desarrollo de
intervenciones educativas para mejorar el rendimiento en matemáticas=
de
estudiantes con discalculia en secundaria es una necesidad apremiante en el
contexto educativo actual. Este planteamiento del problema destaca la impor=
tancia
de la investigación en este campo y la necesidad de enfoques
pedagógicos adaptados que promuevan el éxito académico=
y
la inclusión efectiva de estos estudiantes. A través de la
identificación y evaluación de intervenciones educativas
efectivas, esta investigación busca contribuir al avance de
prácticas educativas más inclusivas y equitativas. =
En el caso de la
investigación sobre intervenciones educativas para mejorar el
rendimiento en matemáticas de estudiantes con discalculia en secunda=
ria,
el marco teórico abarca la definición de discalculia, las
teorías del aprendizaje relevantes y una revisión de las
intervenciones educativas documentadas en la literatura reciente. Primero, =
se
presenta una definición detallada de discalculia, esta sección
incluye una revisión de las características y síntomas=
de
la discalculia, así como su prevalencia en la población
estudiantil de bachillerato.
Luego, se explo=
ran
las teorías del aprendizaje relevantes que subyacen a las estrategia=
s de
intervención en matemáticas para estudiantes con discalculia.
Entre estas teorías se incluyen el constructivismo, que enfatiza la =
construcción
activa del conocimiento por parte del estudiante, y las teorías del
procesamiento de la información, que se centran en cómo los
estudiantes reciben, procesan y almacenan la información
matemática. A continuación, se realiza una revisión
exhaustiva de las intervenciones educativas documentadas en la literatura
reciente, se analizan diferentes enfoques pedagógicos, como el uso de
tecnología educativa y la instrucción individualizada.
Finalmente, se incluyen estudios de caso y experiencias prácticas de
instituciones educativas que han implementado exitosamente estas
intervenciones, proporcionando ejemplos concretos y lecciones aprendidas que
pueden guiar futuras investigaciones y aplicaciones en entornos educativos
similares.
En la dé=
cada
de 1920, el neurólogo Salomón Henschen=
span>
fue pionero en los estudios sobre la discalculia al introducir el
término "acalculia", que se refiere a la incapacidad para
utilizar números, dicha palabra se deriva de la combinación de
dos vocablos griegos: "dis ", que sign=
ifica
dificultad, y "culia ", relacionado co=
n los
cálculos y las matemáticas. Henschen
realizó una extensa investigación que involucró a
más de 260 pacientes que presentaban deficiencias en sus habilidades
numéricas. Sus hallazgos sugirieron que la habilidad para el
cálculo es una función cerebral compleja que implica la
colaboración de varias áreas en la parte posterior del hemisf=
erio
izquierdo (García y Cedeño, 2021).
"Discalcul=
ia,
un trastorno específico del aprendizaje con dificultad en la
adquisición de habilidades aritméticas, afecta a una
proporción significativa de la población infantil y puede ten=
er
consecuencias duraderas en la vida académica y laboral de los
afectados." (Mazzocco & Devine 2019, <=
span
class=3DSpellE>p.329 ).
Los estudiantes=
que
reciben un diagnóstico de discalculia, ya sea de origen neurobiol&oa=
cute;gico,
genético o psicosocial, experimentan diversas dificultades que afect=
an
su funcionamiento personal, social y académico. Estas dificultades se
reflejan en un rendimiento inferior en la capacidad del individuo para perc=
ibir
o procesar información, lo que obstaculiza el aprendizaje significat=
ivo
de los procesos cognitivos relacionados con las matemáticas.
Entre estas
dificultades se incluyen problemas para sumar, restar, multiplicar y dividi=
r,
así como dificultades para contar, reconocer números, memoriz=
ar
cantidades y realizar razonamientos matemáticos de manera precisa
(Sánchez, 2023).
La discalculia =
no
es atribuible a déficits intelectuales generales, déficits
sensoriales ni a una educación inadecuada. Según ciertos estu=
dios
existe un 25% de estudiantes de una clase que presentan dificultades con las
matemáticas en diferentes momentos y se puede manifestar de diversas
maneras, incluyendo dificultades para entender la magnitud y la relaci&oacu=
te;n
entre los números, problemas para aprender y recordar operaciones
aritméticas básicas, y desafíos para realizar
cálculos mentales y resolver problemas matemáticos,
frecuentemente cometen errores en cálculos, incluso en problemas
simples, (Butterworth et al., 2020).
Tamayo et al.
(2019, p.8 ) plantea que una de las causas puede=
ser
la genética:
“En el
registro de numerosos datos efectuados en los diferentes escolares con
discalculia al estudiar la constelación familiar se han hallado padr=
es,
hermanos, tíos, etc. Que manifiestan que en su infancia presentaban
dificultades en el aprendizaje de la Matemática y sacaban insuficien=
tes
calificaciones. Lo cierto es que a pesar de la inquietud de los genetistas =
no
se ha podido llegar a determinar el gen o los genes responsables de trasmit=
ir
por herencia estos trastornos del cálculo” =
p>
Según
Kaufmann y von Aster (2021) los estudiantes con
discalculia pueden experimentar ansiedad matemática, lo que exacerba=
sus
dificultades y afecta su rendimiento académico general, las dificult=
ades
persistentes y el sentimiento de ser "diferentes" pueden llevar a=
una
baja autoestima y a una falta de confianza en sus capacidades académ=
icas
y en general. Por otra parte, autores como Busso
(2020), han asociado los trastornos en el aprendizaje de matemáticas=
con
disfunciones en la memoria de trabajo en la que algunas investigaciones han
demostrado que la capacidad de la memoria de trabajo tiende a verse afectada
cuando aumenta la ansiedad relacionada con las matemáticas. La
Discalculia y el proceso de aprendizaje de las matemáticas constituy=
en
un tema de interés especialmente seleccionado, dado que no se aborda
ampliamente en las instituciones educativas, a pesar de su relevancia como =
un
desafío en el aprendizaje.
Este problema
adquiere una importancia significativa, ya que se reconoce como una dificul=
tad en
el aprendizaje, lo que lo convierte en un punto de atención tanto pa=
ra
educadores como para el público en general. Por esta razón
López & Rodríguez (2019) resaltan la importancia de:=
“La
identificación temprana del trastorno del cálculo debe
realizarse, a ser posible, en los primeros cursos de la Educación
Primaria. Será en este momento cuando el equipo docente deberá
desarrollar un programa de enseñanza de las matemáticas adapt=
ado,
basado en las dificultades encontradas con el fin de conseguir un nivel lo
más próximo al resto de sus compañeros/as. La
atención temprana produce importantes efectos a corto plazo en los
niños de riesgo y en los que nacen con discapacidad al prevenir o
minimizar los retrasos en el desarrollo”
En los
últimos años, ha habido un enfoque creciente en la
identificación temprana y el tratamiento efectivo de la discalculia.
Según Geary (2019), la evaluación
precisa de la discalculia implica no solo examinar las habilidades
matemáticas del individuo, sino también comprender los factor=
es
cognitivos y emocionales subyacentes. Esta evaluación holísti=
ca
es crucial para diseñar intervenciones personalizadas que aborden las
necesidades específicas de cada estudiante. Gea=
ry
también enfatiza la importancia de estrategias terapéuticas
basadas en la evidencia, como el entrenamiento cognitivo y el enfoque
multisensorial, para mejorar las habilidades matemáticas y promover =
el
éxito académico en individuos con discalculia.
Sin embargo, au=
nque
no existe una cura definitiva para la discalculia, diversas intervenciones
educativas y terapéuticas pueden ayudar a mejorar las habilidades
matemáticas y a mitigar los efectos del trastorno. Es fundamental
proporcionar un apoyo continuo y personalizado para ayudar a los individuos
afectados a desarrollar estrategias de compensación y a alcanzar su
máximo potencial (Emerson & Babtie 2=
019).
Rodrígue=
z y
Molano (2023) destaca la existencia de una variedad de subtipos de discalcu=
lia,
cada uno con características distintivas y manifestaciones
específicas. Estos tipos incluyen: la discalculia verbal la cual se
caracteriza por la incapacidad para comprender conceptos matemáticos=
y
relaciones cuando se presentan oralmente, La discalculia protognóstica
que se refiere a un trastorno en la manipulación de objetos, especia=
lmente
en comparaciones de tamaño y cantidad, otra de estos tipos son la
discalculia léxica que se manifiesta como la dificultad para leer
símbolos matemáticos o números, La discalculia
gráfica que se presenta cuando hay dificultad para manipular
símbolos matemáticos en la escritura, lo que implica problemas
para escribir números a partir de dictado o copiarlos. Por
último, la discalculia ideognóstica la
cual se caracteriza por la falta de habilidad para comprender conceptos
matemáticos, relaciones y realizar cálculos mentales.
La teoría
del aprendizaje abarca el constructivismo, una teoría del aprendizaje
basada en las ideas de Jean Piaget y Lev Vygotsky, sostiene que el conocimi=
ento
se construye activamente por el aprendiz a través de la
interacción con el entorno. Piaget enfatiza el desarrollo cognitivo a
través de etapas, mientras que Vygotsky destaca la importancia del
contexto social y el lenguaje en el aprendizaje (Vygotsky, 1978). En el
contexto de la discalculia, el constructivismo sugiere que los estudiantes
necesitan experiencias de aprendizaje concretas y contextualmente relevantes
para construir su comprensión de los conceptos matemáticos.
“El parad=
igma
constructivista no es un libro de recetas, sino un conjunto articulado de
principios desde donde es posible identificar problemas y articular solucio=
nes.
Es decir, los profesores proporcionan a los estudiantes las estrategias
necesarias para promover un aprendizaje significativo, interactivo y
dinámico, despertando la curiosidad del estudiante por la investigac=
ión;
mientras que la educación tradicional se enfoca en enseñar,
memorizar e imponer contenidos, dando como resultados estudiantes
pasivos” (Parreño, 2019)
Según Jonassen (2019), el constructivismo promueve la idea =
de que
el conocimiento no se transmite simplemente de maestro a estudiante, sino q=
ue
se construye a través de la interacción significativa mediant=
e la
interacción con el ambiente y la consideración de las
vivencias". Desde esta perspectiva, los estudiantes son vistos como
participantes activos en la construcción de su comprensión del
mundo, lo que implica que el aprendizaje es un proceso activo y socialmente
situado.
Por otro lado,
desde esta perspectiva, el aprendizaje se concibe como un proceso activo y
significativo en el que los estudiantes interactúan con su entorno y
reflexionan sobre sus experiencias para construir su conocimiento. Este Aut=
or
resalta la importancia de proporcionar a los estudiantes oportunidades para
participar en actividades de aprendizaje auténticas y colaborativas,
donde puedan explorar conceptos de manera activa y construir su
comprensión de manera significativa (Smith, 2021). =
Además, =
las
matemáticas están presentes en cada aspecto del universo; por
ende, se podría concluir que cada persona debería poseer cono=
cimientos
básicos de matemáticas y que adquirir dicho conocimiento
debería ser sencillo, ya que se puede comprobar observando nuestro
entorno o analizando lógicamente los mecanismos naturales del
funcionamiento universal. Según algunos autores en la práctic=
a,
el constructivismo y los principios metodológicos presentados en los
diseños curriculares de matemáticas quedan como formulaciones
teóricas y principios, haciendo urgente una reforma en las
metodologías empleadas en la enseñanza de esta disciplina, pr=
omoviendo
una integración con el contexto del estudiante. En este sentido, otr=
os
autores señalan que el constructivismo, desde el enfoque educativo, =
se
concibe como un proceso en el cual el estudiante disfruta de mayor libertad=
y
autonomía, con el docente brindando apoyo y guía en la
construcción del conocimiento (Vista de el Constructivismo: Modelo
Pedagógico Para la Enseñanza de las Matemáticas/Revista
EDUCARE - UPEL-IPB - Segunda Nueva Etapa 2.0, s=
. f.)
Sin embargo,
Sánchez (2023), considera que las teorías constructivista y
cognitivista en psicología y educación se centran en mejorar =
el
aprendizaje de los estudiantes en matemáticas al enfocarse en los
procesos de adquisición de conocimientos en lugar de los resultados
finales en el aula. Esto implica dar más importancia a las estrategi=
as
de aprendizaje empleadas por el docente como mediadoras durante la
resolución de tareas específicas en el ámbito
matemático, sin poner tanto énfasis en las calificaciones
obtenidas por los estudiantes dentro del salón de clases. =
Otra de las
teorías es la del procesamiento de la información (TPI), que
compara el funcionamiento de la mente humana con el de una computadora, des=
taca
la importancia de la memoria de trabajo y los procesos cognitivos en el
aprendizaje. La teoría del procesamiento de la información ha
influido significativamente en el campo de la psicología educativa,
proporcionando un marco para entender cómo los estudiantes aprenden y
cómo se puede mejorar la enseñanza para facilitar el aprendiz=
aje
efectivo. Esta teoría es particularmente relevante para la discalcul=
ia,
ya que los estudiantes con este trastorno a menudo presentan déficit=
s en
la memoria de trabajo, lo que dificulta su capacidad para realizar
cálculos mentales y recordar procedimientos aritméticos (Geary , 2019).
Según Cl=
ark
y Mayer (2019), la teoría del procesamiento de la información=
y
el constructivismo comparten la idea central de que el aprendizaje es un
proceso activo y significativo en el que los estudiantes construyen su
conocimiento a partir de la interacción con la información
disponible. Desde la perspectiva del procesamiento de la información,
los estudiantes procesan activamente la información entrante, la
organizan y la almacenan en la memoria para su posterior recuperació=
n y
uso. Esta teoría enfatiza la importancia de proporcionar a los
estudiantes experiencias de aprendizaje que les permitan explorar y manipul=
ar
activamente la información, construyendo así su
comprensión de manera activa y reflexiva.
Además, =
la
TPI también informa sobre la importancia de proporcionar
retroalimentación efectiva durante el proceso de aprendizaje. La
retroalimentación oportuna y específica puede ayudar a los
estudiantes a monitorear y regular su propio aprendizaje, lo que contribuye=
a
una comprensión más profunda de los conceptos (Mandouit , L. y Hattie , J.=
2023).
Maldonado (2020=
),
menciona que, a lo largo de los años, la teoría del procesami=
ento
de la información ha generado varios modelos importantes. Algunos de
ellos son: El modelo de Craik y Lockhart la cua=
l sugiere
que la información se procesa en diferentes niveles de profundidad,
dependiendo de si se percibe, se presta atención, se categoriza y se=
le
da significado. El aprendizaje profundo ocurre cuando se asigna significado=
a
la información, el modelo de Atkinson y Shiffri=
n
en la que los autores proponen que la memoria consta de tres etapas: la ent=
rada
de información a través de los sentidos, la retención =
en
la memoria a corto plazo y el almacenamiento a largo plazo y el modelo Rumelhart y McClelland a diferencia de los modelos
anteriores, este modelo sostiene que la información se procesa en
paralelo en la mente humana y que las áreas del cerebro donde se
procesan los datos están interconectadas.
Las intervencio=
nes
basadas en la tecnología han ganado prominencia en el campo de la
educación especial, ofreciendo herramientas interactivas y adaptativ=
as
para el aprendizaje de las matemáticas. Estas herramientas pueden
personalizar el ritmo y el nivel de dificultad de las tareas, proporcionando
retroalimentación inmediata y oportunidades de práctica
repetitiva. Estudios recientes han demostrado que las aplicaciones y juegos
educativos pueden mejorar significativamente las habilidades matemát=
icas
de los estudiantes con discalculia (Shin et al.,
2020).
Con el creciente
abanico de recursos tecnológicos disponibles para profesores, famili=
as y
otros profesionales educativos, se ha observado un aumento en la cantidad de
herramientas diseñadas específicamente para apoyar el desarro=
llo
matemático en situaciones de discalculia. Estos recursos, mencionado=
s en
la literatura científica como programas de aprendizaje basados en
ordenador (computer-based learning programs ), varían en su estructura. Algunos
consisten en un solo juego, mientras que otros están compuestos por
varios. Por ejemplo, programas como Number Race , Number Catcher ,
Graphogame-Math , Number Beads , Dots2Digit y Dots2Track ofrecen un juego único con diferent=
es
niveles, cada uno con características que se adaptan para aumentar la
dificultad y, en ocasiones, para incorporar nuevas habilidades o contenidos
(Espina, et al., 2021).
En una
búsqueda bibliográfica algunos autores investigaron el impact=
o de
la intervención de un programa digital llamado =
ThinkMath
en niños de 7 años y 2 meses, encontrando mejoras significati=
vas
en su desempeño. En otro estudio se expuso a niños con dificu=
ltades
matemáticas al uso de The Number Race durante media hora al día, cuatro d&iacut=
e;as a
la semana durante cinco semanas. Los resultados fueron positivos, mostrando=
un
aumento en el sentido numérico durante el periodo de entrenamiento. =
Los
autores sugieren que la transferencia de conocimientos desde el ámbi=
to
lúdico digital a otros contextos es un tema que merece ser explorado=
en
profundidad (Busso , 2020)
Fernánde=
z y
Ferreiro (2023), mencionan que recientemente, ha surgido una amplia gama de
soluciones tecnológicas que aprovechan tecnología de punta pa=
ra
entrenar diversas funciones y habilidades cognitivas. La Realidad Virtual (=
RV ) ha destacado como una opción con un gran
potencial, ya que ofrece interacciones realistas en un entorno seguro y
confiable, lo que facilita la transferencia de los aprendizajes realizados.
Además, la investigación se ha enfocado en el desarrollo de
propuestas utilizando Realidad Aumentada. En conjunto, los estudios sobre el
uso de tecnologías digitales para la intervención con diversos
sujetos convergen en una conclusión común: el potencial motiv=
ador
de estos medios. Esta característica distintiva de las
tecnologías de la información y la comunicación (TIC) =
ha
contribuido a su incorporación como estrategias efectivas de
intervención.
En su
investigación sobre intervenciones pedagógicas, se destaca la
importancia crucial de la educación escolar y los profesores para
motivar a los alumnos y fomentar actitudes positivas hacia el aprendizaje de
las matemáticas. Es fundamental buscar estrategias que aumenten el
interés de los estudiantes al enfrentarse a problemas difícil=
es,
evitando que sientan incapacidad para resolverlos. Las intervenciones
multisensoriales incorporan el uso de múltiples sentidos (visual,
auditivo, kinestésico) para enseñar conceptos matemáti=
cos.
Estas estrategias pueden incluir el uso de manipulativos, dibujos, y
actividades físicas para reforzar el aprendizaje. La
investigación sugiere que las intervenciones multisensoriales pueden=
ser
particularmente efectivas para estudiantes con discalculia, ya que abordan
diversas vías de aprendizaje y pueden ayudar a consolidar el
conocimiento matemático (Heine, 2021).Se considera fundamental que l=
os
docentes de los primeros años de educación básica
identifiquen problemas de aprendizaje, para así poder ayudar a los
estudiantes a desarrollar nociones de cantidad, tamaño, color, textu=
ra,
relación de objetos, lectura de imágenes y signos, facilitand=
o la
solución de estos problemas con procesos sencillos.
Las estrategias
didácticas, definidas por Gallardo (2023) como "el conjunto de
acciones que lleva a cabo el docente con clara y explícita
intencionalidad pedagógica," implican que el profesor detalla
específicamente cada concepto matemático en el aula. Esto
facilita la planificación y permite la realización de otras
actividades educativas para el enriquecimiento intelectual del alumno. Por
ejemplo, al enseñar matemáticas, es necesario utilizar materi=
ales
como figuras para armar, medir espacios al aire libre, hacer dibujos para
interpretar fracciones, y crear un plano cartesiano con palitos de colores,
entre otras actividades, estableciendo tareas y tiempos necesarios para cada
actividad a realizar en el aula.
El autor de este
trabajo adopta la definición propuesta por Menéndez (2019) co=
mo
su referencia conceptual, quien sostiene que:
“La mayor
debilidad en el aprendizaje de las operaciones básicas
matemáticas es que la transmisión de conocimientos se
efectúa, en la mayoría de los casos, bajo el modelo tradicion=
al.
Así pues, se pudo comprobar que muchos docentes ecuatorianos, al igu=
al
que los de la institución en estudio, se hallan inmersos en la
enseñanza tradicional dejando de lado el aprendizaje de tipo
significativo y permanente de los estudiantes”
Por lo tanto, es
esencial mejorar las estrategias para reconocer e intervenir en este tipo de
trastornos, con el fin de superar progresivamente las barreras existentes, =
como
el conocimiento insuficiente y la estigmatización por parte de quien=
es
los padecen, así como de los cuidadores y profesionales de la salud.=
La enseñ=
anza
directa (Direct Instruction en inglés) h=
ace
referencia a un programa educativo desarrollado por Si=
egfried
Engelmann y sus colaboradores en los Estados Unidos durante los años=
60.
Originalmente, este programa se enfocaba en la enseñanza de lectura y
matemáticas para niños en edad preescolar, y se expandi&oacut=
e;
debido a sus resultados positivos en el aprendizaje. El modelo se caracteri=
za
por ser altamente estructurado, con objetivos de conocimiento claramente de=
finidos
para los estudiantes. Investigadores de renombre, como John Hattie ,
han demostrado que ciertas características de la Enseñanza
Directa son particularmente efectivas para mejorar el aprendizaje (Mindyra Health Corporation , s. f.)
La
instrucción directa y la enseñanza explícita son enfoq=
ues
pedagógicos que implican la enseñanza sistemática y
estructurada de habilidades matemáticas. Estos métodos se cen=
tran
en la instrucción paso a paso, el modelado de estrategias de
resolución de problemas y la práctica guiada con
retroalimentación inmediata. Estudios han encontrado que la
instrucción directa puede ser altamente efectiva para mejorar el
rendimiento matemático de estudiantes con discalculia, ya que
proporciona una estructura clara y refuerza la automatización de
habilidades básicas (Gersten et al., 202=
0).
Una
enseñanza estructurada, en la que la actividad del profesor es esenc=
ial,
busca fomentar la participación activa de los alumnos y una mejor
comprensión del objeto de aprendizaje a través de explicacion=
es
claras, demostraciones y prácticas guiadas. Numerosos estudios
científicos han demostrado la eficacia de la enseñanza
explícita en la adquisición de nuevos conceptos. Ademá=
s,
esta metodología puede aplicarse para aprender estrategias y realizar
tareas complejas y poco estructuradas, así como para desarrollar
estrategias generales, como la planificación, dirección y
evaluación del propio trabajo, promoviendo la metacognición y=
la
autorregulación (De Expertos En Educación, 2023). <=
/span>
La literatura
reciente ha explorado diversas intervenciones educativas para estudiantes c=
on
discalculia, evaluando su efectividad en contextos escolares. Por ejemplo, =
Shin et al. (2020) encontraron que las aplicaciones
educativas basadas en tecnología mejoraron significativamente las
habilidades matemáticas de los estudiantes con discalculia en
comparación con los métodos tradicionales. De manera similar,
Heine (2021) destacó la efectividad de las intervenciones
multisensoriales, señalando que los estudiantes mostraron mejoras no=
tables
en su comprensión de conceptos aritméticos básicos.
Las investigaci=
ones
han demostrado que una combinación de enfoques suele ser la má=
;s
efectiva. Por ejemplo, un estudio de Kaufmann y Aster (2019) sugiere que las
intervenciones que combinan la instrucción directa con la tecnolog&i=
acute;a
y el apoyo emocional muestran resultados prometedores para mejorar las
habilidades matemáticas de los estudiantes con discalculia.
Sin embargo, ca=
be
mencionar que no existe una única intervención que funcione p=
ara
todos los estudiantes con discalculia, pero los enfoques que combinan varios
métodos y que están adaptados a las necesidades individuales =
del
estudiante tienden a ser los más efectivos. La colaboración e=
ntre
educadores, psicólogos y padres es esencial para desarrollar y aplic=
ar
un plan de intervención eficaz.
Los estudios de
caso proporcionan una visión profunda de cómo se implementan =
las
intervenciones educativas en contextos reales y su impacto en los estudiant=
es.
Por ejemplo, un estudio de caso reciente documentó la
implementación de una intervención multisensorial en una escu=
ela
secundaria, mostrando mejoras significativas en el rendimiento matemá=
;tico
y la actitud hacia las matemáticas de los estudiantes con discalculia
(Smith & Jones, 2021).
El marco
teórico presentado proporciona una base conceptual sólida par=
a la
investigación sobre intervenciones educativas para mejorar el
rendimiento en matemáticas de estudiantes con discalculia en secunda=
ria.
Este marco teórico establece el contexto necesario para abordar el
problema de investigación, proporcionando una base sólida par=
a el
desarrollo de intervenciones efectivas que pueden mejorar significativament=
e el
rendimiento en matemáticas de estudiantes con discalculia en secunda=
ria.
Al integrar teorías del aprendizaje y revisar intervenciones educati=
vas
documentadas en la literatura reciente, este marco no solo guía el
desarrollo de nuevas intervenciones, sino que también asegura que
estén fundamentadas en principios teóricos y evidencias
empíricas robustas.
METODOLOG&Iacut=
e;A
Para afrontar de
manera exhaustiva la pregunta de investigación relacionada con las
intervenciones educativas dirigidas a mejorar el desempeño en
matemáticas de estudiantes de bachillerato diagnosticados con
discalculia, se ha optado por un enfoque metodológico mixto que inte=
gra
tanto aspectos cuantitativos como cualitativos. Este enfoque híbrido
esencialmente busca proporcionar una visión más completa y
profunda de los efectos y la eficacia de dichas intervenciones en el contex=
to
específico de la discalculia. Concretamente, se planea emplear un
diseño experimental que permita investigar no solo la asociaci&oacut=
e;n
entre las intervenciones educativas y el rendimiento en matemáticas =
de
los estudiantes, sino también discernir posibles relaciones causales
entre ambos aspectos. Este diseño experimental proporcionará =
una
estructura sólida para analizar la eficacia de las intervenciones y =
ofrecerá
información valiosa sobre cómo estas influyen en el
desempeño académico de los estudiantes con discalculia en el
nivel de bachillerato.
La
recopilación de datos se llevará a cabo mediante una
combinación de métodos cuidadosamente seleccionados para obte=
ner
una comprensión exhaustiva del fenómeno en estudio.
Principalmente, se realizarán entrevistas semiestructuradas con el
objetivo de explorar en profundidad las experiencias y percepciones de los
estudiantes diagnosticados con discalculia, así como de los docentes=
y
especialistas en educación especial. Estas entrevistas permitir&aacu=
te;n
obtener una visión detallada y contextualizada de cómo las
intervenciones educativas son percibidas, experimentadas y valoradas por los
diferentes actores involucrados en el proceso educativo. <=
/p>
Además, =
se
utilizará una Escala de puntuación para evaluar el nivel de
conocimiento y habilidades matemáticas de los estudiantes. Esta esca=
la,
por ejemplo, podría variar de 0 a 100, donde 100 representa un
rendimiento óptimo en matemáticas y 0 indicaría un
rendimiento deficiente. La aplicación de esta escala permitirá
cuantificar de manera objetiva el rendimiento de los estudiantes en
matemáticas antes y después de la implementación de las
intervenciones educativas, proporcionando así datos concretos para
evaluar el impacto de dichas intervenciones en el rendimiento académ=
ico
de los estudiantes con discalculia en el nivel de bachillerato. <=
/span>
En cuanto a la
selección de la muestra, se optará por estudiantes de
Bachillerato General Unificado (BGU ) pertenecie=
ntes a
la unidad educativa Rocafuerte de la provincia de Manabí y
diagnosticados con discalculia, junto con sus respectivos profesores de
matemáticas. Entre todos los estudiantes del bachillerato 25 fueron =
los
elegidos para la muestra. Para asegurar la representatividad y la diversida=
d de
la muestra, se emplea un enfoque de muestreo intencional. Este método
permitirá seleccionar participantes que abarquen una amplia gama de
niveles de rendimiento académico y experiencias previas con
intervenciones educativas. De esta manera, se buscará garantizar que=
la
muestra refleje de manera fiel la diversidad de situaciones y contextos
presentes en la unidad educativa, lo que proporcionará una base
sólida para el análisis y la interpretación de los dat=
os
recopilados.
El análi=
sis
de datos será un proceso meticuloso que combinará méto=
dos
cuantitativos y cualitativos para examinar las intervenciones educativas
destinadas a mejorar el rendimiento en matemáticas de estudiantes con
discalculia en el nivel de bachillerato. En el análisis cuantitativo=
, se
emplearán técnicas estadísticas descriptivas e
inferenciales para comparar el
rendimiento ant=
es y
después de la intervención, así como para investigar
posibles diferencias entre los grupos de intervención y control.
Simultáneamente, en el análisis cualitativo se utilizar&aacut=
e;
el método de análisis temático para explorar las
experiencias y percepciones de los estudiantes con discalculia respecto a l=
as
intervenciones educativas implementadas. Este enfoque permitirá una
comprensión completa y enriquecedora de los resultados, facilitando =
la
identificación de patrones, tendencias y relaciones significativas q=
ue
contribuyan a mejorar la efectividad de las intervenciones educativas en es=
te
contexto específico.
Finalmente, se
prestará especial atención a las consideraciones ética=
s.
Se obtendrá el consentimiento informado de todos los participantes y=
se
garantizará la confidencialidad de los datos recopilados. Adem&aacut=
e;s,
se seguirán los protocolos éticos establecidos por la
institución y se obtendrán las aprobaciones necesarias de los
comités de ética para llevar a cabo la investigación de
manera ética y responsable.
RESULTADOS
Los resultados =
de
la encuesta sobre intervenciones educativas en matemáticas para
estudiantes con discalculia se analizaron desde dos perspectivas: cuantitat=
iva
y cualitativa. En el análisis cuantitativo, se tabularon los datos
obtenidos de la encuesta para identificar patrones y tendencias en las
respuestas de los participantes. Este enfoque nos permitió cuantific=
ar
la frecuencia de ciertos comportamientos o percepciones, proporcionando una
visión numérica de la efectividad de las intervenciones.=
Tabla 1
Opinio&=
#769;n de los
encuestados sobre las preguntas realizadas en las encuestas
N°=
o:p>
Preguntas
Muy poco=
Poco
Moderado=
Bastante=
Mucho
1
Simplificaci&=
oacute;n
de Conceptos
2
4
4
8
7
2
Relevancia de
ejemplos y ejercicios
3
4
4
7
7
3
Adecuaci&oacu=
te;n
de evaluaciones
3
3
3
9
7
4
Efectividad de
modificaciones en las evaluaciones
2
3
3
8
9
5
Interé=
s y
participación en clases
3
3
4
7
8
6
Involucramien=
to
en actividades prácticas y colaborativas
2
2
3
10
8
7
Aumento en la
capacidad de aplicar conceptos
3
4
4
8
6
8
Evidencia de
aumento en el dominio de conceptos anteriormente difíciles
3
3
3
7
9
9
Frecuencia de
participación en sesiones de turoria
3
3
3
8
8
10
Uso de materi=
ales
de aprendizaje adaptadas.
2
2
2
10
9
Gráfico 1
¿En qué medida consideras que los conceptos
matemáticos se simplifican para que sean más accesibles para =
los
estudiantes con discalculia?
Fuente: =
Encuesta a
estudiantes de EGB, García et al. (2024).
Un 60% (15) de =
los
participantes evaluaron la simplificación de conceptos
matemáticos como "bastante" o "muy adecuada"
(respuestas 4 y 5 en la escala). Esto sugiere que las intervenciones orient=
adas
a simplificar los temas matemáticos, presentando los contenidos de
manera accesible, han sido exitosas. Los estudiantes con discalculia, al
enfrentar barreras significativas en la comprensión de conceptos
abstractos, suelen beneficiarse cuando los temas son desglosados en pasos
más simples y comprensibles. Este resultado también destaca la
relevancia de utilizar enfoques pedagógicos que eviten la sobrecarga
cognitiva, facilitando el aprendizaje incremental y progresivo de las
matemáticas. Es importante continuar perfeccionando estas estrategia=
s,
ya que la simplificación excesiva podría limitar el desarrollo
del pensamiento crítico y la habilidad de resolver problemas m&aacut=
e;s
complejos en el futuro.
Gráfico 2
¿Qué tan relevantes encontramos los ejemplos y ejerci=
cios
proporcionados para las experiencias y habilidades de los estudiantes con
discalculia?
Fuente: =
Encuesta a
estudiantes de EGB, García et al. (2024).
El 56% de los
encuestados consideraron que los ejemplos y ejercicios utilizados fueron
altamente relevantes para sus experiencias y habilidades. Este dato resalta=
la
importancia de utilizar ejemplos que conecten con el contexto de los
estudiantes, especialmente aquellos con discalculia. El uso de ejemplos
concretos, adaptados a las realidades cotidianas, facilita la transferencia=
del
conocimiento matemático y reduce la ansiedad relacionada con la
comprensión de conceptos abstractos. Este hallazgo sugiere que los
ejercicios que se alinean con las habilidades previas del estudiante y sus
intereses, no solo mejoran la comprensión, sino que también
fomentan un ambiente de aprendizaje más inclusivo y motivador.
Gráfico 3
¿En qué medida crees que las evaluaciones son adecuad=
as
para las necesidades individuales de los estudiantes con discalculia?<=
/o:p>
Fuente: =
Encuesta a
estudiantes de EGB, García et al. (2024).
El 64% (17) de =
los
encuestados percibió que las evaluaciones eran "bastante" o
"muy" adecuadas para las necesidades individuales de los estudian=
tes
con discalculia. Este resultado subraya la importancia de diseñar ev=
aluaciones
que se ajusten a las capacidades de los estudiantes con dificultades de
aprendizaje, sin comprometer la integridad de la evaluación
académica. Las evaluaciones adaptadas permiten a estos estudiantes
demostrar sus habilidades reales, al evitar que las barreras propias de su
trastorno interfieran con su capacidad de responder correctamente.
Además, la adecuación de las evaluaciones fomenta la equidad =
en
el sistema educativo, asegurando que las diferencias cognitivas no represen=
ten
un obstáculo injusto para el éxito académico.
Gráfico 4
¿Qué tan efectivas consideras las modificaciones en l=
as
evaluaciones para ayudar a los estudiantes con discalculia a demostrar su
comprensión y habilidades matemáticas?
Fuente: =
Encuesta a
estudiantes de EGB, García et al. (2024).
Un 68% (17)
consideró las modificaciones "bastante" o "muy"
efectivas para ayudar a los estudiantes con discalculia. Este resultado ref=
leja
que las adaptaciones, tales como la posibilidad de realizar evaluaciones
más personalizadas, brindaron a los estudiantes la oportunidad de
demostrar su comprensión de manera más clara y precisa. Las
evaluaciones tradicionales, en muchas ocasiones, no contemplan las dificult=
ades
específicas de los estudiantes con discalculia, por lo que estas
modificaciones resultan cruciales para ajustar el entorno evaluativo a las
capacidades cognitivas de los estudiantes. Este enfoque favorece un aprendi=
zaje
más justo y equitativo, permitiendo a los estudiantes obtener result=
ados
que reflejen su verdadero conocimiento y no sus limitaciones relacionadas c=
on
la discalculia
Gráfico 5 =
¿Cómo calificarías el nivel de interés y
participación de los estudiantes durante las lecciones de
matemáticas?
Fuente: =
Encuesta a
estudiantes de EGB, García et al. (2024).
El 60% (15)
calificó el nivel de interés y participación como
"alto" o "muy alto". Este hallazgo es significativo, ya=
que
la participación activa en las lecciones es un indicador clave del
compromiso del estudiante con el proceso de aprendizaje. Las estrategias
educativas adaptadas no solo promueven un mejor rendimiento académic=
o,
sino que también impactan en el nivel de motivación e
implicación del estudiante. La discalculia suele estar asociada con =
altos
niveles de ansiedad y frustración en matemáticas, lo que puede
conducir a la desmotivación. Sin embargo, los datos sugieren que, al
implementar enfoques más accesibles, se fomenta un ambiente má=
;s
positivo que invita a los estudiantes a involucrarse y sentirse más
seguros en su capacidad para aprender matemáticas.
Gráfico 6
¿Qué tan involucrados están los estudiantes en=
las
actividades prácticas y colaborativas diseñadas para mejorar =
su
comprensión de los conceptos matemáticos? =
i>
Fuente: =
Encuesta a
estudiantes de EGB, García et al. (2024).
Un 72% (18) de =
los
encuestados señaló un involucramiento "bastante" o
"muy" notable en estas actividades prácticas y colaborativ=
as.
Esto sugiere que el enfoque multisensorial y las actividades práctic=
as,
que involucran el uso de múltiples sentidos, pueden ser particularme=
nte
efectivas para los estudiantes con discalculia. La colaboración entre
estudiantes también parece jugar un papel importante, ya que les bri=
nda
la oportunidad de trabajar en un entorno de apoyo donde pueden compartir sus
experiencias y estrategias de aprendizaje. Estas actividades no solo refuer=
zan
la comprensión matemática, sino que también contribuye=
n al
desarrollo de habilidades sociales y colaborativas, lo cual es crucial para=
el
aprendizaje a largo plazo.
Gráfico 7
¿Qué tan notable es el aumento en la capacidad de los
estudiantes para aplicar los conceptos matemáticos después de=
la
implementación de las estrategias de enseñanzas adaptadas para
discalculia?
Fuente: =
Encuesta a
estudiantes de EGB, García et al. (2024).
El 56% (14)
notó un aumento "bastante" o "muy" notable en la
capacidad de aplicar conceptos matemáticos. Este resultado refleja q=
ue
las intervenciones adaptadas lograron no solo mejorar la comprensión=
teórica
de los conceptos, sino también facilitar su aplicación
práctica. Para los estudiantes con discalculia, la dificultad no solo
radica en la memorización de reglas y procedimientos, sino
también en la transferencia de estos conocimientos a situaciones pr&=
aacute;cticas.
El aumento en la capacidad de aplicar los conceptos sugiere que los estudia=
ntes
comenzaron a superar las barreras que antes les impedían realizar
cálculos y resolver problemas de manera efectiva. <=
/p>
Gráfico 8
¿Qué tan evidente es el aumento en el dominio de los
conceptos matemáticos que anteriormente les resultaban difíci=
les
para los estudiantes después de recibir instrucción
específica y apoyo adicional?
Fuente: Encuesta a estudiantes de EGB,
García et al. (2024).
El 64% (16) de =
los
encuestados consideró que los estudiantes mostraron un aumento notab=
le
en el dominio de los conceptos matemáticos que anteriormente les
resultaban difíciles. Esto sugiere que las intervenciones implementa=
das
lograron abordar de manera eficaz las áreas de mayor dificultad para=
los
estudiantes con discalculia, permitiéndoles avanzar y mejorar en
áreas que previamente les resultaban inaccesibles. Esto no solo es u=
n logro
académico, sino también emocional, ya que superar estos
obstáculos puede mejorar significativamente la autoestima de los
estudiantes.
Gráfico 9
¿Con qué frecuencia participan los estudiantes con
discalculia en sesiones de tutoría individualizada o en grupos
pequeños para abordar sus dificultades matemáticas?
Fuente: =
Encuesta a
estudiantes de EGB, García et al. (2024).
Un 64% (16)
indicó una participación "frecuente" o
"siempre" en sesiones de tutoría individualizadas. Esto
resalta la importancia de las tutorías personalizadas como una
herramienta clave para el apoyo educativo. Las tutorías brindan un
espacio donde los estudiantes pueden recibir atención directa y adap=
tada
a sus necesidades particulares, lo que favorece un aprendizaje más
profundo y personalizado. Además, este tipo de apoyo contribuye a cr=
ear
un ambiente de confianza, donde los estudiantes pueden hacer preguntas sin
temor a ser juzgados, lo que mejora la experiencia de aprendizaje.
Gráfico 10
¿Qué tan a menudo observas que los estudiantes utiliz=
an
materiales de aprendizaje adaptados, como manipulativos o software
especializado, para mejorar su comprensión de los conceptos
matemáticos?
Fuente: =
Encuesta a
estudiantes de EGB, García et al. (2024).
El 76% (19)
reportó un uso "frecuente" o "siempre" de estos
materiales de aprendizaje adaptados, como manipulativos o software
especializado. Este dato subraya la relevancia del uso de herramientas
tecnológicas y materiales didácticos adaptados para facilitar=
la
comprensión de los conceptos matemáticos. Estos recursos perm=
iten
a los estudiantes interactuar con los conceptos de manera más tangib=
le y
multisensorial, lo que es fundamental para aquellos con discalculia. El acc=
eso
continuo a este tipo de materiales puede ser decisivo en la mejora del
rendimiento académico, ya que ofrece formas alternativas de aprendiz=
aje
que se ajustan mejor a las necesidades de los estudiantes con dificultades =
de
aprendizaje.
Por otro lado, =
el
análisis cualitativo de los resultados de la encuesta sobre
intervenciones educativas en matemáticas para estudiantes con
discalculia ha revelado varios aspectos clave. En primer lugar, se
observó una marcada apreciación por la adaptación de l=
os
contenidos, evidenciada en los comentarios detallados proporcionados por los
participantes. Los ejemplos específicos y las estrategias adaptadas
fueron descritos como herramientas especialmente útiles para abordar=
las
dificultades en el aprendizaje de las matemáticas. Esta apreciaci&oa=
cute;n
de la adaptabilidad y relevancia de los materiales y métodos educati=
vos
sugiere un impacto positivo en la experiencia de aprendizaje de los
estudiantes.
Asimismo, las
observaciones cualitativas resaltaron la percepción de los profesores
sobre el progreso de los estudiantes. Reportaron una mejora en la confianza=
y
la participación en el aula, así como una mayor capacidad para
aplicar conceptos matemáticos en situaciones prácticas. Estos
testimonios refuerzan los hallazgos cuantitativos que indicaron un aumento =
en
el rendimiento académico de los estudiantes. La combinación de
estas perspectivas ofrece una imagen más completa y enriquecedora de=
los
efectos de las intervenciones educativas en el desarrollo académico y
personal de los estudiantes con discalculia.
Sin embargo, ju=
nto
con los aspectos positivos, también surgieron áreas de mejora
durante el análisis cualitativo. Se identificaron necesidades
adicionales, como un apoyo individualizado más sólido y una m=
ayor
disponibilidad de recursos para garantizar la efectividad continua de las
intervenciones. Estas observaciones destacan la importancia de una
atención personalizada y el acceso a herramientas y materiales
adecuados, sugiriendo direcciones para futuras mejoras en las intervenciones
educativas usadas para abordar las necesidades específicas de los
estudiantes con discalculia.
En resumen, el
análisis cualitativo de los resultados de la encuesta enriquece nues=
tra
comprensión de las intervenciones educativas en matemáticas.
Proporciona insights valiosos que pueden guiar =
futuras
iniciativas en este campo, asegurando un enfoque más personalizado y
efectivo en el aprendizaje de los estudiantes con discalculia. En general, =
los
resultados sugieren que las intervenciones educativas en matemáticas
están teniendo un impacto positivo en el rendimiento y la experienci=
a de
los estudiantes con discalculia en el nivel de bachillerato. basándo=
nos
en los resultados obtenidos de la encuesta y el análisis de los dato=
s,
podemos realizar una discusión detallada sobre la efectividad de las
intervenciones educativas en matemáticas para estudiantes con
discalculia en el nivel de bachillerato
DISCUSIÓ=
N
Los resultados
indican que la simplificación de los conceptos matemáticos y =
su
adaptación para ser más accesibles para los estudiantes con
discalculia son aspectos altamente valorados por los participantes. Esto es
consistente con estudios recientes que destacan la importancia de la
diferenciación pedagógica y la personalización del
aprendizaje en matemáticas para estudiantes con dificultades
específicas, como la discalculia (Smith & Jones, 2022; Anderson =
et
al., 2020). Estos enfoques no solo aumentan la accesibilidad del contenido,
sino que también promueven una comprensión más profund=
a y
significativa de los conceptos matemáticos (Martínez & Ro=
jas,
2021).
Además, =
la
mayoría de los participantes consideraron los ejemplos y ejercicios
proporcionados como relevantes para sus experiencias y habilidades. Esto es
crucial, ya que la literatura sugiere que el aprendizaje contextualizado y
basado en la experiencia del estudiante puede mejorar significativamente la
retención y la transferencia de conocimientos (González &
Castro, 2023). La selección cuidadosa de materiales de enseña=
nza
que se alineen con las necesidades específicas de los estudiantes con
discalculia permite una enseñanza más inclusiva y efectiva
(Miller et al., 2019).
Por otro lado, =
los
hallazgos muestran que las evaluaciones adaptadas se perciben como adecuadas
para las necesidades individuales de los estudiantes con discalculia, lo que
está en línea con investigaciones previas que sugieren que las
modificaciones en la evaluación son esenciales para ayudar a estos
estudiantes a demostrar su comprensión (Brown et al., 2021). Este ti=
po
de ajustes en las evaluaciones fomenta la equidad y garantiza que las
diferencias cognitivas no obstaculicen el rendimiento académico (Riv=
era,
2020).
Así mism=
o,
los participantes expresaron niveles significativos de interés,
participación e involucramiento en las clases de matemáticas.
Esto confirma la hipótesis de que las intervenciones pedagógi=
cas
dirigidas no solo mejoran el rendimiento académico, sino que
también incrementan la motivación y el compromiso del estudia=
nte
con la asignatura (Pérez et al., 2021). Como resultado, se observ&oa=
cute;
un aumento notable en la capacidad de los estudiantes para aplicar conceptos
matemáticos después de la implementación de estas
estrategias adaptadas, un fenómeno respaldado por estudios sobre la
efectividad de la enseñanza multisensorial en matemáticas (To=
rres
& Díaz, 2022).
Finalmente, la
participación frecuente en sesiones de tutoría individualizad=
a y
el uso regular de materiales de aprendizaje adaptados son aspectos positivos
destacados por los participantes. Esto está alineado con la literatu=
ra
reciente que subraya la importancia del apoyo individualizado y los recursos
especializados para mejorar la autoconfianza y el éxito en
matemáticas de estudiantes con discalculia (Rodríguez &
López, 2023).
CONCLUSIÓ=
;N
En
conclusión, los resultados de nuestra investigación sugieren =
que
las intervenciones educativas en matemáticas diseñadas para
estudiantes con discalculia en el nivel de bachillerato están tenien=
do
un impacto positivo en su rendimiento académico, comprensión y
experiencia de aprendizaje. Las estrategias pedagógicas implementada=
s no
solo están siendo bien recibidas por los estudiantes, sino que
también están contribuyendo significativamente al desarrollo =
de
sus habilidades matemáticas y a su confianza para resolver problemas=
.
Además, =
se
observa que el uso de evaluaciones adaptadas y ejemplos contextualizados
está facilitando que los estudiantes con discalculia demuestren su
comprensión y apliquen conceptos matemáticos en situaciones
prácticas. Esto refleja que las intervenciones están cumplien=
do
su objetivo de hacer más accesible el aprendizaje de matemáti=
cas
para este grupo, promoviendo no solo un mejor rendimiento académico,
sino también un mayor interés y participación activa en
las clases.
Es importante
seguir investigando y refinando estas estrategias para garantizar su
efectividad a largo plazo. También sería útil explorar
cómo la integración de nuevas tecnologías y mét=
odos
innovadores puede complementar estas intervenciones, potenciando aún
más la experiencia de aprendizaje. Un enfoque que combine la
personalización, el apoyo continuo y el uso de recursos adaptados
podría tener un impacto sostenido en el progreso académico de=
los
estudiantes con discalculia, contribuyendo a su éxito en matem&aacut=
e;ticas
y fomentando una enseñanza inclusiva más sólida.
Finalmente, se recomienda que las futuras investigaciones consideren
también la formación docente en la aplicación de estas
estrategias, dado que su preparación y capacidad para adaptar la ens=
eñanza
son factores cruciales para el éxito de cualquier intervención
pedagógica en el aula.
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ANEXOS:
Encuesta
Encuesta sobre
Intervenciones Educativas en Matemáticas para Estudiantes con
Discalculia.
Estimado/a
participante:
Agradecemos
sinceramente tu colaboración en esta encuesta, la cual tiene como
objetivo evaluar la efectividad de las intervenciones educativas en
matemáticas para estudiantes diagnosticados con discalculia. Por fav=
or,
responde a cada pregunta de acuerdo a tu percepción y experiencia.
En una escala d=
el 1
al 5, ¿en qué medida consideras que los conceptos
matemáticos se simplifican para que sean más accesibles para =
los
estudiantes con discalculia?
1: Muy poco.
2: Poco.=
o:p>
3: Moderado.
4: Bastante.
5: Mucho.<=
/o:p>
Por favor, indi=
ca
en una escala del 1 al 5, ¿qué tan relevantes encuentras los
ejemplos y ejercicios proporcionados para las experiencias y habilidades de=
los
estudiantes con discalculia?
1: Nada relevan=
te.
2: Poco relevan=
te.
3: Moderadamente
relevante.
4: Bastante
relevante.
5: Muy relevant=
e.
En una escala d=
el 1
al 5, ¿en qué medida crees que las evaluaciones son adecuadas
para las necesidades individuales de los estudiantes con discalculia?<=
/o:p>
1: Muy inadecua=
das.
2: Inadecuadas.=
3: Adecuadas en
cierta medida.
4: Adecuadas.
5: Muy adecuada=
s.
Indica en una
escala del 1 al 5, ¿qué tan efectivas consideras las
modificaciones en las evaluaciones para ayudar a los estudiantes con
discalculia a demostrar su comprensión y habilidades matemáti=
cas?
1: Nada efectiv=
as.
2: Poco efectiv=
as.
3: Moderadamente
efectivas.
4: Bastante
efectivas.
5: Muy efectiva=
s
En una escala d=
el 1
al 5, ¿cómo calificarías el nivel de interés y
participación de los estudiantes durante las lecciones de
matemáticas?
1: Muy bajo.
2: Bajo.=
o:p>
3: Moderado.
4: Alto.=
o:p>
5: Muy alto.
En una escala del 1 al 5, ¿qu&eacu=
te;
tan involucrados están los estudiantes en las actividades
prácticas y colaborativas diseñadas para mejorar su
comprensión de los conceptos matemáticos? =
p>
1: Nada
involucrados.
2: Poco
involucrados.
3: Moderadament=
e involucrados.
4: Bastante
involucrados.
5: Muy
involucrados.
En una escala d=
el 1
al 5, ¿qué tan notable es el aumento en la capacidad de los
estudiantes para aplicar los conceptos matemáticos después de=
la
implementación de las estrategias de enseñanza adaptadas para
discalculia?
1: Nada notable=
.
2: Poco notable=
.
3: Moderadamente
notable.
4: Bastante
notable.
5: Muy notable.=
¿En una
escala del 1 al 5, qué tan evidente es el aumento en el dominio de l=
os
conceptos matemáticos que anteriormente les resultaban difíci=
les
para los estudiantes después de recibir instrucción
específica y apoyo adicional?
1: Nada evident=
e.
2: Poco evident=
e.
3: Moderadamente
evidente.
4: Bastante
evidente.
5: Muy evidente=
.
En una escala d=
el 1
al 5, ¿con qué frecuencia participan los estudiantes con
discalculia en sesiones de tutoría individualizada o en grupos
pequeños para abordar sus dificultades matemáticas?
1: Nunca.<=
/o:p>
2: Raramente.
3: Ocasionalmen=
te.
4: Frecuentemen=
te.
5: Siempre.
¿Indica =
en
una escala del 1 al 5, qué tan a menudo observas que los estudiantes
utilizan materiales de aprendizaje adaptados, como manipulativos o software
especializado, para mejorar su comprensión de los conceptos
matemáticos?
1: Nunca.<=
/o:p>
2: Raramente.
3: Ocasionalmen=
te.
4: Frecuentemen=
te.
5: Siempre.
Evaluación
Evaluación sobre Intervenciones Educativas en Matemát=
icas
para Estudiantes con Discalculia
Buen día
[Nombre del entrevistado/a], nos complace que puedas participar en esta
entrevista. Estamos interesados en evaluar tus habilidades en
matemáticas. Comencemos con la primera actividad. <=
/p>
Resolver una se=
rie
de problemas de cálculo mental en un tiempo determinado. <=
/span>
En esta parte d=
e la
entrevista, te presentaré una serie de problemas de cálculo
mental que deberás resolver en un tiempo determinado. Por favor, int=
enta
responder a cada problema lo más rápido y preciso posible.
¿Cu&aacu=
te;l
es la suma de los primeros 10 números naturales? =
p>
Si x=3D3x =3D 3x =3D3 y y=3D5y
=3D 5y =3D5, ¿cuál es el valor de =
2x+3y2x + 3y2x+3y ?=
o:p>
Calcula el
área de un triángulo con base 6 cm y altura 8 cm. <=
/span>
¿Cu&aacu=
te;l
es el resultado de 24×32?
Si un án=
gulo
interior de un triángulo mide 60 grados, ¿cuánto miden=
los
otros dos ángulos?
Ahora pasemos a=
la
siguiente actividad.
Completar una h=
oja
de trabajo de práctica de cálculo con rapidez y sin errores.<=
o:p>
En esta parte d=
e la
entrevista, te proporcionaré una hoja de trabajo de práctica =
de
cálculo que deberás completar lo más rápido y
precisamente posible. Por favor, intenta evitar errores y asegúrate =
de
responder a todas las preguntas.
Preguntas:
Si tienes $200 y
gastas $50 cada semana, ¿cuánto dinero te quedará
después de 4 semanas?
Si un auto viaj=
a a
una velocidad constante de 60 kilómetros por hora,
¿cuántos kilómetros recorrerá en 3 horas?<=
/o:p>
Si un teléfono móvil cuesta=
$300
y se aplica un descuento del 20%, ¿cuál será el precio
final del teléfono después del descuento? =
p>
Si un estudiante
necesita comprar 4 libros que cuestan $12 cada uno, ¿cuánto
dinero necesitará en total para comprar los libros?
Si una pizza se
divide en 8 rebanadas iguales y una persona come 3 rebanadas,
¿qué fracción de la pizza ha consumido?
Es importante
recordar que durante estas actividades, el entre=
vistador
debe observar la precisión, rapidez y confianza del entrevistado/a al
resolver problemas matemáticos tanto mentalmente como en papel.=
Tabla 1
Matriz de las variables:
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