∑ Criterios=
m:r>
de exclusi ó n
Fuente: datos generados por los
autor usando MATLAB R2024a (The MathWorks , Inc., 2024).
La progresión logarítmica del
proceso de selección revela una arquitectura metodológica
diseñada para maximizar la validez interna mediante criterios de
exclusión estratificados. La reducción de 7.008 a 26 estudios
representa una tasa de filtrado del 99.63%, índice que trasciende los
parámetros convencionales de revisiones sistemáticas y establ=
ece
un nuevo estándar de rigor en el campo. La fase de cribado
eliminó el 95.8% de registros, evidenciando una brecha sustantiva en=
tre
la producción científica disponible y los requerimientos
metodológicos para investigar intervenciones pedagógicas en
contextos de educación pública. El análisis de exclusi=
ones
por texto completo desvela una fragmentación epistemológica: =
el
40.7% de estudios omitía variables docentes críticas,
operacionalizando recursos manipulativos como artefactos técnicos
desvinculados de procesos de desarrollo profesional. Este patrón sug=
iere
que la investigación predominante aún privilegia enfoques
instrumentalistas sobre marcos teóricos que integren conocimiento
pedagógico del contenido con innovación curricular. La muestra
final altamente homogénea en diseños cua=
si-experimentales
facilita inferencias causales moderadas, pero simultáneamente limita=
la
comprensión de mecanismos de implementación, revelando una
tensión fundamental entre validez interna y profundidad interpretati=
va.
Gráfico 2
Criterios picos
Estrategia de Búsqueda Diacrónica
Fuente: datos generados por los autores usando MATLAB R2024a
(The MathWorks , Inc., 2024). <=
/p>
La distribución de cumplimiento expone
asimetrías estructurales en la literatura de alto impacto sobre
innovación pedagógica. La cobertura universal de criterios de
Población y Resultados (26/26 estudios) confirma consenso
epistemológico en torno a variables nucleares conocimiento docente y
rendimiento estudiantil marcando un avance disciplinar hacia modelos integr=
ados
que superan dicotomías tradicionales entre formación docente y
aprendizaje del estudiante. La brecha en criterios de Comparación (6=
9.2%
de cumplimiento) no constituye una limitación metodológica
periférica, sino un indicador de madurez del campo: aproximadamente =
un
tercio de la investigación publicada aún opera en paradigmas
exploratorios que priorizan descripción sobre comparación,
reflejando la complejidad inherente a establecer grupos control en contextos
educativos auténticos. La composición metodológica (46=
.2% cuasi-experimental , 38.5% cualitativo, 15.4% mixto)
materializa un pluralismo paradigmático estratégico que equil=
ibra
medición de eficacia con elucidación de procesos. Esta
triangulación metodológica representa un modelo de investigac=
ión
avanzada donde los diseños cuantitativos establecen patrones de
efectividad mientras los cualitativos deconstruyen los mecanismos cognitivo=
s y
sociales subyacentes, superando falsas dicotomías entre
generalización y profundidad contextual.
Gráfico 3
Estrategia temp=
oral
La Pirámide de Evidencia
Fuente: datos generados por los autores usando
MATLAB R2024a (The MathWor=
ks ,
Inc., 2024).
La evolución diacrónica 2023-2025
manifiesta un ciclo de investigación con dinámica de
maduración acelerada, donde el pico productivo de 2024 (46.2% de
estudios) seguido de consolidación temática en 2025 configura=
un
patrón característico de campos científicos que alcanz=
an
masa crítica teórica rápidamente tras la
identificación de problemas socialmente relevantes. Esta
cronología correlaciona con agendas post-pand&e=
acute;micas
de innovación educativa con recursos de bajo costo, sugiriendo que el
campo responde a imperativos sistémicos de transformación
pedagógica escalable. La arquitectura de búsqueda con predomi=
nio
de Scopus /WoS (47.5=
% de
identificaciones) sobre bases regionales implementa una estrategia de muest=
reo
intencional que prioriza investigación con validez externa
transnacional, construyendo un corpus con capacidad de generalización
geográfica pero potencialmente limitado en capturar innovaciones
pedagógicas contextualizadas. Los filtros aplicados (ventana temporal
restringida, dualidad idiomática, focalización en
educación pública) operan como dispositivos
epistemológicos que transforman la revisión en un instrumento=
de
política educativa basada en evidencia, alineando objetivos
científicos con desafíos de escalabilidad en sistemas con
restricciones presupuestarias. La distribución resultante refleja no
solo el estado del arte, sino una posición normativa sobre qué
conocimiento merece ser sintetizado para informar decisiones transformativa=
s a
nivel sistémico.
Síntesis Narrativa Temática (Los=
26
Artículos Incluidos)
Los resultados de los 26 estudios seleccionado=
s se
agrupan en tres temas centrales que reflejan la competencia docente en la
escuela pública: (1) Dominio Instrumental vs. Dominio Didácti=
co,
(2) Barreras de Implementación y Actitudes Docentes, y (3) Impacto e=
n el
Aprendizaje (Visto desde la Praxis Docente).
Dominio Instrumental vs. Dominio Didáct=
ico
El primer hallazgo recurrente subraya una
diferencia crítica entre el conocimiento instrumental y el conocimie=
nto
didáctico del contenido (PCK ) respecto a=
ambas
herramientas. El conocimiento instrumental, es decir, saber cómo se
mueven las piezas de ajedrez o las equivalencias numéricas de las
regletas de Cuisenaire, fue reportado como ampliamente extendido en el
profesorado (90% de los estudios cualitativos).
Sin embargo, el Conocimiento Pedagógico=
del
Contenido (PCK ), que implica saber cuánd=
o y
cómo usar la regleta azul (largo 9) para introducir la noción=
de
porcentaje o cómo vincular una posición de ajedrez con un
problema de coordenadas, es reportado como deficiente. Greenstein
y Fernández (2023) observaron que, en las escuelas públicas, =
el
uso de manipulativos a menudo se detiene en la fase "concreta" y
falla en la crucial "fase de transición" al nivel
"abstracto".
En el contexto del Ajedrez, Chalco Velez y Plaza Soledispa (2024) encontraron que la
mayoría de los docentes utilizan el juego para promover el
comportamiento (atención y disciplina), pero solo el 15% sabía
cómo evaluar el progreso de sus estudiantes en términos de
habilidades matemáticas transferibles. El pensamiento combinatorio o
espacial, lo que evidencia una subutilización del recurso.
La revisión mostró que la
formación continua recibida por los docentes en el periodo 2023-2025
tendió a centrarse en el "saber-hacer" técnico (ej.
reglas básicas de ajedrez o juegos con regletas) y no en el
"saber-enseñar". Esta desconexión genera una baja
fidelidad de implementación del currículo, incluso cuando los
materiales están disponibles.
Clemente y Medina (2024), en un estudio cuasi-experimental , reportaron que la diferencia entr=
e un
grupo de estudiantes y otro no radicó en si las regletas fueron usad=
as,
sino en la calidad de la mediación docente. El grupo cuyo profesor
recibió capacitación específica en PCK
para fracciones con Cuisenaire mostró tamaños de efecto
significativamente mayores que el grupo que solo recibió el material=
.
Este hallazgo es crucial para el diseño=
de
políticas de formación docente, pues sugiere que invertir en
materiales sin invertir en la didáctica específica del docente
resulta en un rendimiento marginal. La evidencia cuantitativa (n=3D12 estud=
ios)
apunta a que la variable "horas de formación especializada en <=
span
class=3DSpellE>PCK " es el predictor más fuerte de los
resultados positivos en el aprendizaje de los estudiantes.
La literatura sobre el ajedrez refuerza esta
conclusión. Bolaños Velasco (2023) identificó que la
integración del ajedrez en la jornada escolar solo fue efectiva cuan=
do
el docente se sintió cómodo al utilizar el tablero como una
herramienta análoga para el pensamiento secuencial y la probabilidad
rudimentaria, superando la visión del ajedrez como una actividad
aislada.
La falta de dominio didáctico se
manifestó también en la evaluación. Castillo et al.
(2024), aunque centrados en robótica, encontraron un patrón
replicable: los docentes de primaria tienen dificultades para crear
instrumentos de evaluación que midan las habilidades cognitivas
desarrolladas por el material (ej. la planificación en ajedrez o el
razonamiento proporcional en regletas), recurriendo a pruebas escritas que
penalizan el aprendizaje basado en manipulativos.
En resumen, los resultados señalan que,=
si
bien las Regletas y el Ajedrez son herramientas potentes (validadas por Zha=
ng
& Zhou, 2023), su impacto positivo en la escuela pública es limi=
tado
por la insuficiente transición del conocimiento instrumental al domi=
nio
didáctico por parte del profesorado.
Barreras de Implementación y Actitudes
Docentes
El segundo tema de análisis se centra en
las barreras actitudinales y estructurales que limitan la implementaci&oacu=
te;n
de estas metodologías en el contexto de la escuela pública.
La ansiedad matemática del docente fue
identificada como una barrera psicológica significativa. Furner (2024) destaca que los docentes que perciben u=
na
baja competencia en su propia comprensión matemática tienden a
evitar métodos que requieren improvisación o manejo de pregun=
tas
complejas por parte de los estudiantes, como el uso exploratorio de regleta=
s.
Estos docentes optan por la enseñanza expositiva, percibida como
más controlable.
Existe una presión curricular y de tiem=
po
que desalienta el uso de juegos y manipulativos. Banti=
lan
et al. (2024) documentan que, aunque los docentes reconocen el valor de las
regletas, consideran que su uso consume demasiado tiempo de clase, lo cual =
es
incompatible con la necesidad de "cubrir" contenidos para las pru=
ebas
estandarizadas (Consejo Nacional de Educación, 2024).
La percepción de lo lúdico como =
algo
"no serio" o "no académico" persiste en muchas
culturas escolares, especialmente en las más tradicionales. Esta
actitud, reportada por estudios cualitativos, frena la integración
formal del Ajedrez en las asignaturas troncales, relegándolo a
actividades extraescolares.
Cervantes y Santana (2023) subraya que la falt=
a de
apoyo institucional y la escasez de espacio físico en las escuelas
públicas dificultan la gestión de grandes grupos con material=
es
manipulativos (regletas) o tableros de ajedrez, impactando la moral docente=
y
su disposición a innovar.
Un hallazgo prometedor se relaciona con la Age=
ncia
Docente. Los pocos estudios (n=3D4) que documentaron el éxito sosten=
ido en
la implementación de Ajedrez y Regletas lo vincularon a docentes que
fabricaron o adaptaron sus propios materiales, lo que =
Greenstein
y Fernández (2023) identifican como un proceso que profundiza el PCK del propio profesor.
En el caso del ajedrez, la autopercepció=
;n
de la competencia es vital. Grau-Pérez y Moreira (2023) indicaron que
los docentes que recibieron formación en estrategias de juego, y no =
solo
en reglas, mostraron una actitud más positiva y una mayor
disposición a transferir las habilidades de planificación del
Ajedrez a la resolución de problemas matemáticos. <=
/span>
Las barreras son, por lo tanto, menos material=
es y
más culturales y formativas. La escuela pública necesita un
cambio de paradigma que legitime el juego y la manipulación como pil=
ares
del aprendizaje matemático.
Impacto en el Aprendizaje (Visto desde la Prax=
is
Docente)
El tercer tema sintetiza las percepciones doce=
ntes
y los resultados reportados in situ sobre el impacto de estas herramientas =
en
el desarrollo cognitivo de los estudiantes de primaria. =
p>
En el dominio de las Regletas de Cuisenaire, el
efecto positivo más consistentemente reportado por los docentes fue =
la
mejora en la comprensión del número y las fracciones. Clemente y Medina (2024) confirmar=
on que
el uso visual de las regletas para representar el concepto de
"parte-todo" facilita la comprensión conceptual antes de la
introducción de los algoritmos abstractos.
La reducción de la ansiedad
matemática en los estudiantes fue otro resultado cualitativo clave
asociado a ambos recursos. Los docentes reportaron que el Ajedrez y las
Regletas crean un entorno de bajo riesgo para el error, fomentando la
resiliencia y el aprendizaje autorregulado, tal como lo sugiere Charitaki et al. (2024).
En cuanto al ajedrez, el impacto más fu=
erte
y transversal fue la mejora de las funciones ejecutivas. Múltiples
estudios (n=3D10) confirmaron la percepción docente de que la
práctica regular del Ajedrez mejora la atención sostenida y la
memoria de trabajo, habilidades que son precursores directos del éxi=
to
en la resolución de problemas matemáticos. <=
/p>
Bolaños Velasco (2023) y De la Fuente y
Martínez-Vicente (2024), utilizando datos de observación,
demostraron que los estudiantes que participan en Ajedrez muestran una mayor
capacidad de planificación y anticipación en tareas de
matemáticas, habilidades que son notoriamente difíciles de
enseñar con métodos tradicionales.
La capacidad de los recursos para fomentar la
inclusión es notable. Ahrens et al. (2024) señalaron que el
ajedrez, al ser un lenguaje no verbal universal, puede ser una herramienta
eficaz para la integración de estudiantes con necesidades educativas
especiales o con barreras lingüísticas, siempre que el docente
reciba la capacitación adecuada.
Los resultados sugieren que el impacto no se
limita a la aritmética. Valencia (2023) y Bósquez et al. (202=
4)
encontraron que el uso combinado del plano del Ajedrez y las formas creadas=
con
Regletas potencia el desarrollo del pensamiento espacial y la geometr&iacut=
e;a,
superando las limitaciones de los libros de texto planos. =
Finalmente, la sostenibilidad de los efectos
positivos depende del compromiso de la institución educativa. Los
docentes que reportaron los mejores resultados en el rendimiento de sus
estudiantes (medido en tests estandarizados) fu=
eron
aquellos que trabajaron en escuelas donde el uso de manipulativos y el ajed=
rez
estaba respaldado por la dirección y era parte de una política
institucional, no un esfuerzo individual y aislado.
En síntesis, la revisión confirm=
a el
valor intrínseco de las Regletas y el Ajedrez, pero reorienta el foc=
o de
la investigación hacia la competencia docente como el principal
mediador. La evidencia de 2023-2025 demuestra que el desafío de la
escuela pública no es adquirir recursos, sino formar maestros con el=
PCK para utilizarlos con la intención
didáctica requerida para la transferencia conceptual.
CONCLUSIÓN =
Disociación entre Herramienta y Dominio
Didáctico
Los resultados de esta revisión
sistemática confirman que la principal limitación para la
implementación efectiva de las Regletas de Cuisenaire y el Ajedrez e=
n la
educación primaria pública es la brecha en el Conocimiento
Pedagógico del Contenido (PCK ) del docen=
te,
más que la falta de recursos o la ineficacia inherente de las
herramientas. El hallazgo de que el profesorado posee un alto dominio instr=
umental,
pero carece de un dominio didáctico profundo (G=
reenstein
& Fernández, 2023) disipa la creencia simplista de que basta con
proveer el material para generar cambios.
Esta disociación es crítica. La
literatura reciente sobre las Regletas (Clemente y Medina 2024) sugiere que=
los
efectos positivos se maximizan sólo cuando el docente es capaz de gu=
iar
la "fase de transición" del concepto concreto (la regleta)=
a
la representación abstracta (el símbolo). La
subutilización reportada por Alarcón et al. (2024), donde las
regletas se limitan al conteo simple, indica que la formación actual=
no
dota al docente de las estrategias para modelar conceptos complejos como las
fracciones o el razonamiento proporcional.
En el caso del ajedrez, la dificultad radica e=
n la
transferencia cognitiva. El Ajedrez es altamente efectivo para mejorar las
funciones ejecutivas (Bolaños Velasco, 2023), pero la discusió=
;n
debe centrarse en la falta de PCK para conectar=
la
habilidad de planificación del juego con la resolución de
problemas matemáticos complejos. Si el docente no puede establecer e=
sta
analogía didáctica, el Ajedrez se mantiene como una actividad
periférica, cumpliendo objetivos socioemocionales, pero fallando en =
su
potencial de transversalidad curricular (Chalco & Plaza 2024).
V.II . Las Barreras Contextuales: Tiempo,
Presión Curricular y Actitud
La revisión confirma que las barreras de
implementación en la escuela pública son primariamente
estructurales y culturales. La presión por cubrir un currículo
denso para cumplir con las métricas del Consejo Nacional de
Educación (2024) provoca que los docentes perciban las
metodologías lúdicas y manipulativas como una
"pérdida de tiempo" (Bantilan =
et
al., 2024). Este temor se intensifica por la ansiedad matemática doc=
ente
(Furner , 2024), donde la inseguridad disciplinar
lleva al docente a evitar situaciones de aula abiertas y exploratorias que =
son
intrínsecas al uso de estos recursos.
Esta situación genera un círculo
vicioso: la falta de confianza del docente lleva a la enseñanza
expositiva, lo que a su vez perpetúa la baja resiliencia
matemática y la ansiedad en los estudiantes (Ch=
aritaki
et al., 2024). Se argumenta que la formación continua debe abordar no
solo el "qué" enseñar, sino el "cómo
sentirse competente" al enseñar; es decir, la dimensión
actitudinal y el desarrollo de la Agencia Docente (Gre=
enstein
& Fernández, 2023).
La FIDE (2025) y otros organismos han promovid=
o la
inclusión del Ajedrez en la escuela, pero la sostenibilidad depende =
de
legitimar esta herramienta a nivel institucional, ofreciendo tiempo protegi=
do
en el horario para su planificación e implementación, superan=
do
la percepción de que es un "extra" o un "recreo
didáctico".
Implicaciones para la Formación Docente=
y
la Investigación Futura
Los resultados tienen claras implicaciones par=
a la
reforma de la formación docente inicial y continua. La evidencia ind=
ica
que los programas deben migrar de la mera capacitación técnic=
a a
la capacitación en diseño didáctico con los recursos.<=
o:p>
Formación Situada en PCK :
Los programas de desarrollo profesional deben centrarse en el diseño=
de
secuencias didácticas que muestren explícitamente la
conexión entre la manipulación (Regletas) o el juego (Ajedrez=
) y
la notación simbólica. Es necesario dotar al docente de
rúbricas de evaluación formativa que miden las habilidades
cognitivas (planificación, anticipación) y no solo el resulta=
do
final, abordando así la dificultad de evaluación señal=
ada
por Castillo et al. (2024).
Investigación en Contextos de Escuelas
Públicas: La alta exclusión de estudios por riesgo de sesgo o=
por
falta de desagregación contextual subraya la necesidad de más
investigación-acción de alta calidad en contextos de escuelas
públicas (Hernández, 2023). Futuros estudios deben emplear
diseños robustos como los cuasi-experimentales<=
/span>
y utilizar herramientas como ROBINS -I de manera
explícita, para generar evidencia con alta validez ecológica y
que sea directamente aplicable a las políticas públicas.=
Integración Curricular Híbrida: =
La
investigación debe explorar el potencial sinérgico de combinar
ambas herramientas, tal como sugiere el marco teórico. Modelos que
utilicen el Ajedrez para desarrollar la planificación espacial
(Valencia, 2023) y luego utilice las Regletas para modelar la cantidad o la
proporción de los movimientos, representan una línea de
indagación prometedora y actualmente subexplora=
da
en la literatura (Zhang & Zhou, 2023).
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LATAM Revista Latinoamericana =
de
Ciencias Sociales y Humanidades, Asunción, Paraguay.
ISSN en línea: 2789-3855, enero, 2026, Volumen VI,
Número 6 p 3261 .=
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