Characterisation of probability learning in a rural environment with the realistic mathematics education

Background: As statistics has pragmatic effects in other sectors, this work argues for proposing teaching-learning strategies based on real situations. Objectives: Characterise probability learning in a rural environment with realistic mathematics education. Design: Of a qualitative nature with an a...

Full description

Autores:
Mendez Parra , Carolina
Conde Carmona, Robinson Junior
Padilla-Escorcía, Iván Andrés
Tipo de recurso:
Article of investigation
Fecha de publicación:
2022
Institución:
Corporación Universidad de la Costa
Repositorio:
REDICUC - Repositorio CUC
Idioma:
eng
OAI Identifier:
oai:repositorio.cuc.edu.co:11323/10803
Acceso en línea:
https://hdl.handle.net/11323/10803
https://repositorio.cuc.edu.co/
Palabra clave:
Context
Statistical education
Realistic mathematics
Random thinking
Rights
openAccess
License
Atribución 4.0 Internacional (CC BY 4.0)
id RCUC2_e26436a9598b629631fcbcd2f7d8a221
oai_identifier_str oai:repositorio.cuc.edu.co:11323/10803
network_acronym_str RCUC2
network_name_str REDICUC - Repositorio CUC
repository_id_str
dc.title.eng.fl_str_mv Characterisation of probability learning in a rural environment with the realistic mathematics education
dc.title.translated.none.fl_str_mv Caracterización del aprendizaje de la probabilidad en un entorno rural con la educación matemática realista
Caracterização da probabilidade de aprendizagem em um ambiente rural com educação matemática realística
title Characterisation of probability learning in a rural environment with the realistic mathematics education
spellingShingle Characterisation of probability learning in a rural environment with the realistic mathematics education
Context
Statistical education
Realistic mathematics
Random thinking
title_short Characterisation of probability learning in a rural environment with the realistic mathematics education
title_full Characterisation of probability learning in a rural environment with the realistic mathematics education
title_fullStr Characterisation of probability learning in a rural environment with the realistic mathematics education
title_full_unstemmed Characterisation of probability learning in a rural environment with the realistic mathematics education
title_sort Characterisation of probability learning in a rural environment with the realistic mathematics education
dc.creator.fl_str_mv Mendez Parra , Carolina
Conde Carmona, Robinson Junior
Padilla-Escorcía, Iván Andrés
dc.contributor.author.none.fl_str_mv Mendez Parra , Carolina
Conde Carmona, Robinson Junior
Padilla-Escorcía, Iván Andrés
dc.subject.proposal.eng.fl_str_mv Context
Statistical education
Realistic mathematics
Random thinking
topic Context
Statistical education
Realistic mathematics
Random thinking
description Background: As statistics has pragmatic effects in other sectors, this work argues for proposing teaching-learning strategies based on real situations. Objectives: Characterise probability learning in a rural environment with realistic mathematics education. Design: Of a qualitative nature with an action-participatory research design, through five methodological phases. Setting and participants: Students from rural areas of the department of Córdoba-Colombia, the mathematics education teacher of that department, and the research group. Data collection and analysis: The qualitative data were grouped into categories of realistic mathematics education. Results: The research revealed that the students present interpretive, theoretical, and algorithmic difficulties. It also highlighted that realistic mathematics education reflects human activity in the statistical learning process. Conclusions: The contextualised problems allow students to reach meaningful knowledge. Besides, the teacher cooperates in formalising learning due to its structuring, systematisation, and regularisation under the realistic mathematics education criteria.
publishDate 2022
dc.date.issued.none.fl_str_mv 2022
dc.date.accessioned.none.fl_str_mv 2024-03-01T15:55:17Z
dc.date.available.none.fl_str_mv 2024-03-01T15:55:17Z
dc.type.spa.fl_str_mv Artículo de revista
dc.type.coar.spa.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.content.spa.fl_str_mv Text
dc.type.driver.spa.fl_str_mv info:eu-repo/semantics/article
dc.type.redcol.spa.fl_str_mv http://purl.org/redcol/resource_type/ART
dc.type.version.spa.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.coarversion.spa.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
format http://purl.org/coar/resource_type/c_2df8fbb1
status_str publishedVersion
dc.identifier.citation.spa.fl_str_mv ​​Characterisation of Probability Learning in a Rural Environment with the Realistic Mathematics Education | Méndez-Parra | Acta Scientiae. (n.d.). Retrieved February 29, 2024, from http://www.periodicos.ulbra.br/index.php/acta/article/view/6709
dc.identifier.issn.spa.fl_str_mv 2178-7727
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/11323/10803
dc.identifier.eissn.spa.fl_str_mv 1517-4492
dc.identifier.ark.none.fl_str_mv 10.17648/acta.scientiae.6709
dc.identifier.instname.spa.fl_str_mv Corporación Universidad de la Costa
dc.identifier.reponame.spa.fl_str_mv REDICUC – Repositorio CUC
dc.identifier.repourl.spa.fl_str_mv https://repositorio.cuc.edu.co/
identifier_str_mv ​​Characterisation of Probability Learning in a Rural Environment with the Realistic Mathematics Education | Méndez-Parra | Acta Scientiae. (n.d.). Retrieved February 29, 2024, from http://www.periodicos.ulbra.br/index.php/acta/article/view/6709
2178-7727
1517-4492
10.17648/acta.scientiae.6709
Corporación Universidad de la Costa
REDICUC – Repositorio CUC
url https://hdl.handle.net/11323/10803
https://repositorio.cuc.edu.co/
dc.language.iso.spa.fl_str_mv eng
language eng
dc.relation.ispartofjournal.spa.fl_str_mv Acta Scientiae
dc.relation.references.spa.fl_str_mv Alsina, À. (2011). Aprendre a usar les matemàtiques: els processos matemàtics, propostes didàctiques per a l'educació infantil. Eumo.
Alsina, Á. & Salgado, M. (2019). Prácticas de medida en Educación Infantil desde la perspectiva de la Educación Matemática Realista. Edma 0-6: Educación Matemática en la Infancia, 7(2), 24-37.
Andrade Diaz, I. M. (2019). Estrategia pedagógica para promover el desarrollo de habilidades en el pensamiento probabilístico en los estudiantes del grado cuarto de la sede los llanos de la institución educativa rural jordán güisía. [Trabajo de Fin de Grado, Universidad del Cauca] http://repositorio.unicauca.edu.co:8080/xmlui/handle/123456789/111 5
Andrade Diaz, I. M. (2019). Estrategia pedagógica para promover el desarrollo de habilidades en el pensamiento probabilístico en los estudiantes del grado cuarto de la sede los llanos de la institución educativa rural jordán güisía.
Bressan, A.; Gallego, F.; Pérez, S., & Zolkower, B. (2016). Educación Matemática Realista, Bases Teóricas. Publicación del GPDM.
Castiglione, D. (2015). Conexiones Matemáticas Múltiples a partir de tres problemas en contexto realista. Publicación del GPDM.
Conde-Carmona, R. & Padilla-Escorcia, I. (2021). Aprender matemáticas en tiempos del COVID-19: Un estudio de caso con estudiantes universitarias. Educación y Humanismo, 23(40), 1-19. https://doi.org/10.17081/eduhum.23.40.4380
Cruz-Ramírez, M. (2019). Un estudio sobre la distancia psicológica entre métodos de investigación educacional. El caso del método Delphi. Luz, 18(3), 29-42. https://bit.ly/2SXOoD5
Díaz-Levicoy, D., Ferrada, C., Salgado-Orellana, N., & Vásquez, C. (2019). Análisis de las actividades evaluativas sobre estadística y probabilidad en libros de texto chilenos de Educación Primaria. Premisa, 21(80), 5-21.
Estrada, A. & Batanero, C. (2019). Prospective primary school teachers’ attitudes towards probability and its teaching. International Electronic Journal of Mathematics Education, 15(1), em0559. https://doi.org/10.29333/iejme/5941
Fredriksen, H. (2021). Exploring realistic mathematics education in a flipped classroom context at the tertiary level. International Journal of Science and Mathematics Education, 19(2), 377-396.
Freudenthal, H. (1977). Desembramiento y siembra: Prefacio a una ciencia de la educación matemática. Springer.
Freudenthal, H. (1977). Weeding and sowing: Preface to a science of mathematical education. Springer. https://bit.ly/3j1dZ93
Gal, I. (2005). Towards" probability literacy" for all citizens: Building blocks and instructional dilemmas. In: Exploring probability in school. (pp. 39-63). Springer.
Gallego, M. & Pérez, S. (2013). Aportes «Realistas» a la Educación Matemática. Desde la Patagonia, Difundiendo Saberes, 10(16), 12- 19.
Gravemeijer, K. & Doorman, M. (1999). Context problems in realistic mathematics education: A calculus course as an example. Educational Studies in Mathematics, 39(1), 111–129.
Isaza Cardona, C. A. (2020). Los contextos inmediato, situacional y sociocultural en el aprendizaje de la probabilidad. [Trabajo de Fin de Grado, Universidad de Antioquia]. http://hdl.handle.net/10495/13728
Isaza Cardona, C. A. (2020). Los contextos inmediato, situacional y sociocultural en el aprendizaje de la probabilidad.
Julie, H. (2018). Developing LTBI for addition and multiplication rules in probability theory with realistic mathematics education. Journal of Physics: Conference Series, 1088(1), 012044. https://doi.org/10.1088/1742-6596/1088/1/012044
Julie, H. (2018, September). Developing LTBI for addition and multiplication rules in probability theory with realistic mathematics education. Journal of Physics: Conference Series, 1088(1), 012044.
Márquez-Mosquera, A. & Olea-Isaza, C. (2020). Las Actividades Orientadoras de Enseñanza como estrategia para enseñar la probabilidad en primaria: reflexiones de los maestros. Revista Trilogía, 12(22), 151-171. https://doi.org/10.22430/21457778.1094
Méndez-Parra, C., Conde-Carmona, R., & Tovar-Ortega, T. (2021). Uso de la matemática realista y su relación en el aprendizaje de la probabilidad, en un contexto rural. Eco Matemático, 12(1). https://doi.org/10.22463/17948231.3067
Morales Giraldo, S. M. (2018). Enseñanza de la probabilidad simple y probabilidad condicional a través de situaciones problema [Trabajo de Fin de Grado, Universidad Nacional de Colombia-Sede Medellín]. https://repositorio.unal.edu.co/handle/unal/64190
Nuraida, I., Kusumah, Y. S., & Kartasasmita, B. G. (2019, November). Realistic mathematics education with local instruction theory for enhancement of students’ procedural fluency. Journal of Physics: Conference Series, 1280(4), 042003.
Palinussa, A., Molle, J., & Gasperz, M. (2017, November). Development Mathematics Education of Rural Context. In: Proceeding of the International Seminar on Education. (Vol. 1).
Rasmussen, C. & Blumenfeld, H. (2007). Reinventing solutions to systems of linear differential equations: A case of emergent models involving analytic expressions. The Journal of Mathematical Behavior, 26(3), 195–210.
Revina, S. & Leung, F. (2019). How the same flowers grow in different Soils? The implementation of realistic mathematics education in Utrecht and Jakarta classrooms. International Journal of Science and Mathematics Education, 17(3), 565-589. https://doi.org/10.1007/s10763-018-9883- 1
Sampieri, R. H. (2018). Metodología de la investigación: las rutas cuantitativa, cualitativa y mixta. McGraw Hill. https://bit.ly/3j5LLd2
Sepriyanti, N. & Putri, E. M. (2018). Mathematics Learning Devices Development based on Realistic Mathematics Education on Probability. Al-Ta'lim Journal, 25(1), 87-96.
Sugilar, H., Rachmawati, T., & Nuraida, I. (2019). Integrasi interkoneksi matematika agama dan budaya. Jurnal Analisa, 5(2), 189-198. https://doi.org/10.15575/ja.v5i2.6717
Tachie, S. & Molepo, J. (2019). Exploring Teachers’ Meta-Cognitive Skills in Mathematics Classes in Selected Rural Primary Schools in Eastern Cape, South Africa. Africa Education Review, 16(2), 143-161. https://doi.org/10.1080/18146627.2017.1384700
Van den Heuvel-Panhuizen, M. & Wijers, M. (2005). Mathematics standards and curricula in the Netherlands. ZDM, 37(4), 287-307.
Vásquez C. & Alsina, Á. (2017). Aproximación al conocimiento común del contenido para enseñar probabilidad desde el modelo del conocimiento didáctico-matemático. Educación matemática, 29(3), 79-108. https://doi.org/10.24844/em2903.03
Wijdeveld, E. (1980). Zich realiseren, in IOWO, de achterkant van de Mobius. (p. 23-26). IOWO.
dc.relation.citationendpage.spa.fl_str_mv 23
dc.relation.citationstartpage.spa.fl_str_mv 1
dc.relation.citationissue.spa.fl_str_mv 4
dc.relation.citationvolume.spa.fl_str_mv 24
dc.rights.license.spa.fl_str_mv Atribución 4.0 Internacional (CC BY 4.0)
dc.rights.uri.spa.fl_str_mv https://creativecommons.org/licenses/by/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
dc.rights.coar.spa.fl_str_mv http://purl.org/coar/access_right/c_abf2
rights_invalid_str_mv Atribución 4.0 Internacional (CC BY 4.0)
https://creativecommons.org/licenses/by/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.extent.spa.fl_str_mv 23 páginas
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Lutheran University of Brazil
dc.publisher.place.spa.fl_str_mv Brazil
dc.source.spa.fl_str_mv http://www.periodicos.ulbra.br/index.php/acta/article/view/6709
institution Corporación Universidad de la Costa
bitstream.url.fl_str_mv https://repositorio.cuc.edu.co/bitstream/11323/10803/1/Characterisation%20of%20Probability%20Learning%20in%20a%20Rural.pdf
https://repositorio.cuc.edu.co/bitstream/11323/10803/2/license.txt
https://repositorio.cuc.edu.co/bitstream/11323/10803/3/Characterisation%20of%20Probability%20Learning%20in%20a%20Rural.pdf.txt
https://repositorio.cuc.edu.co/bitstream/11323/10803/4/Characterisation%20of%20Probability%20Learning%20in%20a%20Rural.pdf.jpg
bitstream.checksum.fl_str_mv 18600a7c70ae3b6f17099e57083b8df6
2f9959eaf5b71fae44bbf9ec84150c7a
d73dd7a4e2076e1f098be52848c8ba86
a29842a549fc72a83f312c6e6fb5ae12
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
MD5
MD5
repository.name.fl_str_mv Repositorio Universidad de La Costa
repository.mail.fl_str_mv repdigital@cuc.edu.co
_version_ 1808400048396959744
spelling Atribución 4.0 Internacional (CC BY 4.0)https://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Mendez Parra , Carolinaf2e2128d370a60118c2180185377df0d600Conde Carmona, Robinson Junior42d5cd47b8a68337520d9832bb3abf68600Padilla-Escorcía, Iván Andrésc28d722b2a3d52711e0a8f61786879862024-03-01T15:55:17Z2024-03-01T15:55:17Z2022​​Characterisation of Probability Learning in a Rural Environment with the Realistic Mathematics Education | Méndez-Parra | Acta Scientiae. (n.d.). Retrieved February 29, 2024, from http://www.periodicos.ulbra.br/index.php/acta/article/view/67092178-7727https://hdl.handle.net/11323/108031517-449210.17648/acta.scientiae.6709Corporación Universidad de la CostaREDICUC – Repositorio CUChttps://repositorio.cuc.edu.co/Background: As statistics has pragmatic effects in other sectors, this work argues for proposing teaching-learning strategies based on real situations. Objectives: Characterise probability learning in a rural environment with realistic mathematics education. Design: Of a qualitative nature with an action-participatory research design, through five methodological phases. Setting and participants: Students from rural areas of the department of Córdoba-Colombia, the mathematics education teacher of that department, and the research group. Data collection and analysis: The qualitative data were grouped into categories of realistic mathematics education. Results: The research revealed that the students present interpretive, theoretical, and algorithmic difficulties. It also highlighted that realistic mathematics education reflects human activity in the statistical learning process. Conclusions: The contextualised problems allow students to reach meaningful knowledge. Besides, the teacher cooperates in formalising learning due to its structuring, systematisation, and regularisation under the realistic mathematics education criteria.Antecedentes: La Estadística presenta efectos pragmáticos en otros sectores, por lo tanto, se hace necesario proponer estrategias de enseñanza-aprendizaje basadas en situaciones reales. Esta investigación estima la Educación Matemática Realista como estrategia de construcción del conocimiento probabilístico, a través de situaciones contextualizadas. Objetivos: Caracterizar el aprendizaje de la probabilidad en un entorno rural con la Educación Matemática Realista. Diseño: De carácter cualitativo con un diseño de investigación acción-participativa, a través de cinco fases metodológicas. Contexto y participantes: Estudiantes rurales del departamento de Córdoba-Colombia, la docente de educación matemática del respectivo departamento y el grupo investigador. Recopilación y análisis de datos: Los datos cualitativos se agruparon en categorías de la Educación Matemática Realista. Resultados: Se encontró que los estudiantes presentan dificultades interpretativas, teóricas y algorítmicas. También, se destaca que la Educación Matemática realista refleja la actividad humana en el proceso de aprendizaje estadístico. Conclusiones: Se concluyó que, los problemas contextualizados permiten alcanzar un conocimiento con sentido y, el docente coopera en la formalización de dicho aprendizaje, debido a la estructuración, sistematización y regularización bajo los criterios de la Educación Matemática Realista.Antecedentes: A estatística tem efeitos pragmáticos em outros setores, portanto, é necessário propor estratégias de ensino-aprendizagem baseadas em situações reais. Esta pesquisa estima a Educação Matemática Realista como estratégia para a construção do conhecimento probabilístico, por meio de situações contextualizadas. Objetivos: Caracterizar a aprendizagem de probabilidade em meio rural com Educação Matemática Realista. Desenho: De natureza qualitativa com desenho de pesquisa-ação-participativo, por meio de cinco fases metodológicas. Contexto e participantes: Estudantes rurais do departamento de Córdoba-Colômbia, o professor de educação matemática do respectivo departamento e o grupo de pesquisa. Coleta e análise de dados: Os dados qualitativos foram agrupados em categorias de Educação Matemática Realista. Resultados: Constatou-se que os alunos apresentam dificuldades interpretativas, teóricas e algorítmicas. Além disso, destaca-se que a Educação Matemática realista reflete a atividade humana no processo de aprendizagem estatística. Conclusões: Concluiu-se que os problemas contextualizados permitem alcançar um conhecimento significativo e o professor colabora na formalização dessa aprendizagem, devido à estruturação, sistematização e regularização sob os critérios da Educação Matemática Realista.23 páginasapplication/pdfengLutheran University of BrazilBrazilhttp://www.periodicos.ulbra.br/index.php/acta/article/view/6709Characterisation of probability learning in a rural environment with the realistic mathematics educationCaracterización del aprendizaje de la probabilidad en un entorno rural con la educación matemática realistaCaracterização da probabilidade de aprendizagem em um ambiente rural com educação matemática realísticaArtículo de revistahttp://purl.org/coar/resource_type/c_2df8fbb1Textinfo:eu-repo/semantics/articlehttp://purl.org/redcol/resource_type/ARTinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/version/c_970fb48d4fbd8a85Acta ScientiaeAlsina, À. (2011). Aprendre a usar les matemàtiques: els processos matemàtics, propostes didàctiques per a l'educació infantil. Eumo.Alsina, Á. & Salgado, M. (2019). Prácticas de medida en Educación Infantil desde la perspectiva de la Educación Matemática Realista. Edma 0-6: Educación Matemática en la Infancia, 7(2), 24-37.Andrade Diaz, I. M. (2019). Estrategia pedagógica para promover el desarrollo de habilidades en el pensamiento probabilístico en los estudiantes del grado cuarto de la sede los llanos de la institución educativa rural jordán güisía. [Trabajo de Fin de Grado, Universidad del Cauca] http://repositorio.unicauca.edu.co:8080/xmlui/handle/123456789/111 5Andrade Diaz, I. M. (2019). Estrategia pedagógica para promover el desarrollo de habilidades en el pensamiento probabilístico en los estudiantes del grado cuarto de la sede los llanos de la institución educativa rural jordán güisía.Bressan, A.; Gallego, F.; Pérez, S., & Zolkower, B. (2016). Educación Matemática Realista, Bases Teóricas. Publicación del GPDM.Castiglione, D. (2015). Conexiones Matemáticas Múltiples a partir de tres problemas en contexto realista. Publicación del GPDM.Conde-Carmona, R. & Padilla-Escorcia, I. (2021). Aprender matemáticas en tiempos del COVID-19: Un estudio de caso con estudiantes universitarias. Educación y Humanismo, 23(40), 1-19. https://doi.org/10.17081/eduhum.23.40.4380Cruz-Ramírez, M. (2019). Un estudio sobre la distancia psicológica entre métodos de investigación educacional. El caso del método Delphi. Luz, 18(3), 29-42. https://bit.ly/2SXOoD5Díaz-Levicoy, D., Ferrada, C., Salgado-Orellana, N., & Vásquez, C. (2019). Análisis de las actividades evaluativas sobre estadística y probabilidad en libros de texto chilenos de Educación Primaria. Premisa, 21(80), 5-21.Estrada, A. & Batanero, C. (2019). Prospective primary school teachers’ attitudes towards probability and its teaching. International Electronic Journal of Mathematics Education, 15(1), em0559. https://doi.org/10.29333/iejme/5941Fredriksen, H. (2021). Exploring realistic mathematics education in a flipped classroom context at the tertiary level. International Journal of Science and Mathematics Education, 19(2), 377-396.Freudenthal, H. (1977). Desembramiento y siembra: Prefacio a una ciencia de la educación matemática. Springer.Freudenthal, H. (1977). Weeding and sowing: Preface to a science of mathematical education. Springer. https://bit.ly/3j1dZ93Gal, I. (2005). Towards" probability literacy" for all citizens: Building blocks and instructional dilemmas. In: Exploring probability in school. (pp. 39-63). Springer.Gallego, M. & Pérez, S. (2013). Aportes «Realistas» a la Educación Matemática. Desde la Patagonia, Difundiendo Saberes, 10(16), 12- 19.Gravemeijer, K. & Doorman, M. (1999). Context problems in realistic mathematics education: A calculus course as an example. Educational Studies in Mathematics, 39(1), 111–129.Isaza Cardona, C. A. (2020). Los contextos inmediato, situacional y sociocultural en el aprendizaje de la probabilidad. [Trabajo de Fin de Grado, Universidad de Antioquia]. http://hdl.handle.net/10495/13728Isaza Cardona, C. A. (2020). Los contextos inmediato, situacional y sociocultural en el aprendizaje de la probabilidad.Julie, H. (2018). Developing LTBI for addition and multiplication rules in probability theory with realistic mathematics education. Journal of Physics: Conference Series, 1088(1), 012044. https://doi.org/10.1088/1742-6596/1088/1/012044Julie, H. (2018, September). Developing LTBI for addition and multiplication rules in probability theory with realistic mathematics education. Journal of Physics: Conference Series, 1088(1), 012044.Márquez-Mosquera, A. & Olea-Isaza, C. (2020). Las Actividades Orientadoras de Enseñanza como estrategia para enseñar la probabilidad en primaria: reflexiones de los maestros. Revista Trilogía, 12(22), 151-171. https://doi.org/10.22430/21457778.1094Méndez-Parra, C., Conde-Carmona, R., & Tovar-Ortega, T. (2021). Uso de la matemática realista y su relación en el aprendizaje de la probabilidad, en un contexto rural. Eco Matemático, 12(1). https://doi.org/10.22463/17948231.3067Morales Giraldo, S. M. (2018). Enseñanza de la probabilidad simple y probabilidad condicional a través de situaciones problema [Trabajo de Fin de Grado, Universidad Nacional de Colombia-Sede Medellín]. https://repositorio.unal.edu.co/handle/unal/64190Nuraida, I., Kusumah, Y. S., & Kartasasmita, B. G. (2019, November). Realistic mathematics education with local instruction theory for enhancement of students’ procedural fluency. Journal of Physics: Conference Series, 1280(4), 042003.Palinussa, A., Molle, J., & Gasperz, M. (2017, November). Development Mathematics Education of Rural Context. In: Proceeding of the International Seminar on Education. (Vol. 1).Rasmussen, C. & Blumenfeld, H. (2007). Reinventing solutions to systems of linear differential equations: A case of emergent models involving analytic expressions. The Journal of Mathematical Behavior, 26(3), 195–210.Revina, S. & Leung, F. (2019). How the same flowers grow in different Soils? The implementation of realistic mathematics education in Utrecht and Jakarta classrooms. International Journal of Science and Mathematics Education, 17(3), 565-589. https://doi.org/10.1007/s10763-018-9883- 1Sampieri, R. H. (2018). Metodología de la investigación: las rutas cuantitativa, cualitativa y mixta. McGraw Hill. https://bit.ly/3j5LLd2Sepriyanti, N. & Putri, E. M. (2018). Mathematics Learning Devices Development based on Realistic Mathematics Education on Probability. Al-Ta'lim Journal, 25(1), 87-96.Sugilar, H., Rachmawati, T., & Nuraida, I. (2019). Integrasi interkoneksi matematika agama dan budaya. Jurnal Analisa, 5(2), 189-198. https://doi.org/10.15575/ja.v5i2.6717Tachie, S. & Molepo, J. (2019). Exploring Teachers’ Meta-Cognitive Skills in Mathematics Classes in Selected Rural Primary Schools in Eastern Cape, South Africa. Africa Education Review, 16(2), 143-161. https://doi.org/10.1080/18146627.2017.1384700Van den Heuvel-Panhuizen, M. & Wijers, M. (2005). Mathematics standards and curricula in the Netherlands. ZDM, 37(4), 287-307.Vásquez C. & Alsina, Á. (2017). Aproximación al conocimiento común del contenido para enseñar probabilidad desde el modelo del conocimiento didáctico-matemático. Educación matemática, 29(3), 79-108. https://doi.org/10.24844/em2903.03Wijdeveld, E. (1980). Zich realiseren, in IOWO, de achterkant van de Mobius. (p. 23-26). IOWO.231424ContextStatistical educationRealistic mathematicsRandom thinkingORIGINALCharacterisation of Probability Learning in a Rural.pdfCharacterisation of Probability Learning in a Rural.pdfArtículoapplication/pdf327012https://repositorio.cuc.edu.co/bitstream/11323/10803/1/Characterisation%20of%20Probability%20Learning%20in%20a%20Rural.pdf18600a7c70ae3b6f17099e57083b8df6MD51open accessLICENSElicense.txtlicense.txttext/plain; charset=utf-814828https://repositorio.cuc.edu.co/bitstream/11323/10803/2/license.txt2f9959eaf5b71fae44bbf9ec84150c7aMD52open accessTEXTCharacterisation of Probability Learning in a Rural.pdf.txtCharacterisation of Probability Learning in a Rural.pdf.txtExtracted texttext/plain50419https://repositorio.cuc.edu.co/bitstream/11323/10803/3/Characterisation%20of%20Probability%20Learning%20in%20a%20Rural.pdf.txtd73dd7a4e2076e1f098be52848c8ba86MD53open accessTHUMBNAILCharacterisation of Probability Learning in a Rural.pdf.jpgCharacterisation of Probability Learning in a Rural.pdf.jpgGenerated Thumbnailimage/jpeg12857https://repositorio.cuc.edu.co/bitstream/11323/10803/4/Characterisation%20of%20Probability%20Learning%20in%20a%20Rural.pdf.jpga29842a549fc72a83f312c6e6fb5ae12MD54open access11323/10803oai:repositorio.cuc.edu.co:11323/108032024-03-02 03:01:30.933An error occurred on the license name.|||https://creativecommons.org/licenses/by/4.0/open accessRepositorio Universidad de La Costarepdigital@cuc.edu.coTEEgT0JSQSAoVEFMIFkgQ09NTyBTRSBERUZJTkUgTcOBUyBBREVMQU5URSkgU0UgT1RPUkdBIEJBSk8gTE9TIFRFUk1JTk9TIERFIEVTVEEgTElDRU5DSUEgUMOaQkxJQ0EgREUgQ1JFQVRJVkUgQ09NTU9OUyAo4oCcTFBDQ+KAnSBPIOKAnExJQ0VOQ0lB4oCdKS4gTEEgT0JSQSBFU1TDgSBQUk9URUdJREEgUE9SIERFUkVDSE9TIERFIEFVVE9SIFkvVSBPVFJBUyBMRVlFUyBBUExJQ0FCTEVTLiBRVUVEQSBQUk9ISUJJRE8gQ1VBTFFVSUVSIFVTTyBRVUUgU0UgSEFHQSBERSBMQSBPQlJBIFFVRSBOTyBDVUVOVEUgQ09OIExBIEFVVE9SSVpBQ0nDk04gUEVSVElORU5URSBERSBDT05GT1JNSURBRCBDT04gTE9TIFTDiVJNSU5PUyBERSBFU1RBIExJQ0VOQ0lBIFkgREUgTEEgTEVZIERFIERFUkVDSE8gREUgQVVUT1IuCgpNRURJQU5URSBFTCBFSkVSQ0lDSU8gREUgQ1VBTFFVSUVSQSBERSBMT1MgREVSRUNIT1MgUVVFIFNFIE9UT1JHQU4gRU4gRVNUQSBMSUNFTkNJQSwgVVNURUQgQUNFUFRBIFkgQUNVRVJEQSBRVUVEQVIgT0JMSUdBRE8gRU4gTE9TIFRFUk1JTk9TIFFVRSBTRSBTRcORQUxBTiBFTiBFTExBLiBFTCBMSUNFTkNJQU5URSBDT05DRURFIEEgVVNURUQgTE9TIERFUkVDSE9TIENPTlRFTklET1MgRU4gRVNUQSBMSUNFTkNJQSBDT05ESUNJT05BRE9TIEEgTEEgQUNFUFRBQ0nDk04gREUgU1VTIFRFUk1JTk9TIFkgQ09ORElDSU9ORVMuCjEuIERlZmluaWNpb25lcwoKYS4JT2JyYSBDb2xlY3RpdmEgZXMgdW5hIG9icmEsIHRhbCBjb21vIHVuYSBwdWJsaWNhY2nDs24gcGVyacOzZGljYSwgdW5hIGFudG9sb2fDrWEsIG8gdW5hIGVuY2ljbG9wZWRpYSwgZW4gbGEgcXVlIGxhIG9icmEgZW4gc3UgdG90YWxpZGFkLCBzaW4gbW9kaWZpY2FjacOzbiBhbGd1bmEsIGp1bnRvIGNvbiB1biBncnVwbyBkZSBvdHJhcyBjb250cmlidWNpb25lcyBxdWUgY29uc3RpdHV5ZW4gb2JyYXMgc2VwYXJhZGFzIGUgaW5kZXBlbmRpZW50ZXMgZW4gc8OtIG1pc21hcywgc2UgaW50ZWdyYW4gZW4gdW4gdG9kbyBjb2xlY3Rpdm8uIFVuYSBPYnJhIHF1ZSBjb25zdGl0dXllIHVuYSBvYnJhIGNvbGVjdGl2YSBubyBzZSBjb25zaWRlcmFyw6EgdW5hIE9icmEgRGVyaXZhZGEgKGNvbW8gc2UgZGVmaW5lIGFiYWpvKSBwYXJhIGxvcyBwcm9ww7NzaXRvcyBkZSBlc3RhIGxpY2VuY2lhLiBhcXVlbGxhIHByb2R1Y2lkYSBwb3IgdW4gZ3J1cG8gZGUgYXV0b3JlcywgZW4gcXVlIGxhIE9icmEgc2UgZW5jdWVudHJhIHNpbiBtb2RpZmljYWNpb25lcywganVudG8gY29uIHVuYSBjaWVydGEgY2FudGlkYWQgZGUgb3RyYXMgY29udHJpYnVjaW9uZXMsIHF1ZSBjb25zdGl0dXllbiBlbiBzw60gbWlzbW9zIHRyYWJham9zIHNlcGFyYWRvcyBlIGluZGVwZW5kaWVudGVzLCBxdWUgc29uIGludGVncmFkb3MgYWwgdG9kbyBjb2xlY3Rpdm8sIHRhbGVzIGNvbW8gcHVibGljYWNpb25lcyBwZXJpw7NkaWNhcywgYW50b2xvZ8OtYXMgbyBlbmNpY2xvcGVkaWFzLgoKYi4JT2JyYSBEZXJpdmFkYSBzaWduaWZpY2EgdW5hIG9icmEgYmFzYWRhIGVuIGxhIG9icmEgb2JqZXRvIGRlIGVzdGEgbGljZW5jaWEgbyBlbiDDqXN0YSB5IG90cmFzIG9icmFzIHByZWV4aXN0ZW50ZXMsIHRhbGVzIGNvbW8gdHJhZHVjY2lvbmVzLCBhcnJlZ2xvcyBtdXNpY2FsZXMsIGRyYW1hdGl6YWNpb25lcywg4oCcZmljY2lvbmFsaXphY2lvbmVz4oCdLCB2ZXJzaW9uZXMgcGFyYSBjaW5lLCDigJxncmFiYWNpb25lcyBkZSBzb25pZG/igJ0sIHJlcHJvZHVjY2lvbmVzIGRlIGFydGUsIHJlc8O6bWVuZXMsIGNvbmRlbnNhY2lvbmVzLCBvIGN1YWxxdWllciBvdHJhIGVuIGxhIHF1ZSBsYSBvYnJhIHB1ZWRhIHNlciB0cmFuc2Zvcm1hZGEsIGNhbWJpYWRhIG8gYWRhcHRhZGEsIGV4Y2VwdG8gYXF1ZWxsYXMgcXVlIGNvbnN0aXR1eWFuIHVuYSBvYnJhIGNvbGVjdGl2YSwgbGFzIHF1ZSBubyBzZXLDoW4gY29uc2lkZXJhZGFzIHVuYSBvYnJhIGRlcml2YWRhIHBhcmEgZWZlY3RvcyBkZSBlc3RhIGxpY2VuY2lhLiAoUGFyYSBldml0YXIgZHVkYXMsIGVuIGVsIGNhc28gZGUgcXVlIGxhIE9icmEgc2VhIHVuYSBjb21wb3NpY2nDs24gbXVzaWNhbCBvIHVuYSBncmFiYWNpw7NuIHNvbm9yYSwgcGFyYSBsb3MgZWZlY3RvcyBkZSBlc3RhIExpY2VuY2lhIGxhIHNpbmNyb25pemFjacOzbiB0ZW1wb3JhbCBkZSBsYSBPYnJhIGNvbiB1bmEgaW1hZ2VuIGVuIG1vdmltaWVudG8gc2UgY29uc2lkZXJhcsOhIHVuYSBPYnJhIERlcml2YWRhIHBhcmEgbG9zIGZpbmVzIGRlIGVzdGEgbGljZW5jaWEpLgoKYy4JTGljZW5jaWFudGUsIGVzIGVsIGluZGl2aWR1byBvIGxhIGVudGlkYWQgdGl0dWxhciBkZSBsb3MgZGVyZWNob3MgZGUgYXV0b3IgcXVlIG9mcmVjZSBsYSBPYnJhIGVuIGNvbmZvcm1pZGFkIGNvbiBsYXMgY29uZGljaW9uZXMgZGUgZXN0YSBMaWNlbmNpYS4KCmQuCUF1dG9yIG9yaWdpbmFsLCBlcyBlbCBpbmRpdmlkdW8gcXVlIGNyZcOzIGxhIE9icmEuCgplLglPYnJhLCBlcyBhcXVlbGxhIG9icmEgc3VzY2VwdGlibGUgZGUgcHJvdGVjY2nDs24gcG9yIGVsIHLDqWdpbWVuIGRlIERlcmVjaG8gZGUgQXV0b3IgeSBxdWUgZXMgb2ZyZWNpZGEgZW4gbG9zIHTDqXJtaW5vcyBkZSBlc3RhIGxpY2VuY2lhCgpmLglVc3RlZCwgZXMgZWwgaW5kaXZpZHVvIG8gbGEgZW50aWRhZCBxdWUgZWplcmNpdGEgbG9zIGRlcmVjaG9zIG90b3JnYWRvcyBhbCBhbXBhcm8gZGUgZXN0YSBMaWNlbmNpYSB5IHF1ZSBjb24gYW50ZXJpb3JpZGFkIG5vIGhhIHZpb2xhZG8gbGFzIGNvbmRpY2lvbmVzIGRlIGxhIG1pc21hIHJlc3BlY3RvIGEgbGEgT2JyYSwgbyBxdWUgaGF5YSBvYnRlbmlkbyBhdXRvcml6YWNpw7NuIGV4cHJlc2EgcG9yIHBhcnRlIGRlbCBMaWNlbmNpYW50ZSBwYXJhIGVqZXJjZXIgbG9zIGRlcmVjaG9zIGFsIGFtcGFybyBkZSBlc3RhIExpY2VuY2lhIHBlc2UgYSB1bmEgdmlvbGFjacOzbiBhbnRlcmlvci4KCjIuIERlcmVjaG9zIGRlIFVzb3MgSG9ucmFkb3MgeSBleGNlcGNpb25lcyBMZWdhbGVzLgpOYWRhIGVuIGVzdGEgTGljZW5jaWEgcG9kcsOhIHNlciBpbnRlcnByZXRhZG8gY29tbyB1bmEgZGlzbWludWNpw7NuLCBsaW1pdGFjacOzbiBvIHJlc3RyaWNjacOzbiBkZSBsb3MgZGVyZWNob3MgZGVyaXZhZG9zIGRlbCB1c28gaG9ucmFkbyB5IG90cmFzIGxpbWl0YWNpb25lcyBvIGV4Y2VwY2lvbmVzIGEgbG9zIGRlcmVjaG9zIGRlbCBhdXRvciBiYWpvIGVsIHLDqWdpbWVuIGxlZ2FsIHZpZ2VudGUgbyBkZXJpdmFkbyBkZSBjdWFscXVpZXIgb3RyYSBub3JtYSBxdWUgc2UgbGUgYXBsaXF1ZS4KCjMuIENvbmNlc2nDs24gZGUgbGEgTGljZW5jaWEuCkJham8gbG9zIHTDqXJtaW5vcyB5IGNvbmRpY2lvbmVzIGRlIGVzdGEgTGljZW5jaWEsIGVsIExpY2VuY2lhbnRlIG90b3JnYSBhIFVzdGVkIHVuYSBsaWNlbmNpYSBtdW5kaWFsLCBsaWJyZSBkZSByZWdhbMOtYXMsIG5vIGV4Y2x1c2l2YSB5IHBlcnBldHVhIChkdXJhbnRlIHRvZG8gZWwgcGVyw61vZG8gZGUgdmlnZW5jaWEgZGUgbG9zIGRlcmVjaG9zIGRlIGF1dG9yKSBwYXJhIGVqZXJjZXIgZXN0b3MgZGVyZWNob3Mgc29icmUgbGEgT2JyYSB0YWwgeSBjb21vIHNlIGluZGljYSBhIGNvbnRpbnVhY2nDs246CgphLglSZXByb2R1Y2lyIGxhIE9icmEsIGluY29ycG9yYXIgbGEgT2JyYSBlbiB1bmEgbyBtw6FzIE9icmFzIENvbGVjdGl2YXMsIHkgcmVwcm9kdWNpciBsYSBPYnJhIGluY29ycG9yYWRhIGVuIGxhcyBPYnJhcyBDb2xlY3RpdmFzLgoKYi4JRGlzdHJpYnVpciBjb3BpYXMgbyBmb25vZ3JhbWFzIGRlIGxhcyBPYnJhcywgZXhoaWJpcmxhcyBww7pibGljYW1lbnRlLCBlamVjdXRhcmxhcyBww7pibGljYW1lbnRlIHkvbyBwb25lcmxhcyBhIGRpc3Bvc2ljacOzbiBww7pibGljYSwgaW5jbHV5w6luZG9sYXMgY29tbyBpbmNvcnBvcmFkYXMgZW4gT2JyYXMgQ29sZWN0aXZhcywgc2Vnw7puIGNvcnJlc3BvbmRhLgoKYy4JRGlzdHJpYnVpciBjb3BpYXMgZGUgbGFzIE9icmFzIERlcml2YWRhcyBxdWUgc2UgZ2VuZXJlbiwgZXhoaWJpcmxhcyBww7pibGljYW1lbnRlLCBlamVjdXRhcmxhcyBww7pibGljYW1lbnRlIHkvbyBwb25lcmxhcyBhIGRpc3Bvc2ljacOzbiBww7pibGljYS4KTG9zIGRlcmVjaG9zIG1lbmNpb25hZG9zIGFudGVyaW9ybWVudGUgcHVlZGVuIHNlciBlamVyY2lkb3MgZW4gdG9kb3MgbG9zIG1lZGlvcyB5IGZvcm1hdG9zLCBhY3R1YWxtZW50ZSBjb25vY2lkb3MgbyBxdWUgc2UgaW52ZW50ZW4gZW4gZWwgZnV0dXJvLiBMb3MgZGVyZWNob3MgYW50ZXMgbWVuY2lvbmFkb3MgaW5jbHV5ZW4gZWwgZGVyZWNobyBhIHJlYWxpemFyIGRpY2hhcyBtb2RpZmljYWNpb25lcyBlbiBsYSBtZWRpZGEgcXVlIHNlYW4gdMOpY25pY2FtZW50ZSBuZWNlc2FyaWFzIHBhcmEgZWplcmNlciBsb3MgZGVyZWNob3MgZW4gb3RybyBtZWRpbyBvIGZvcm1hdG9zLCBwZXJvIGRlIG90cmEgbWFuZXJhIHVzdGVkIG5vIGVzdMOhIGF1dG9yaXphZG8gcGFyYSByZWFsaXphciBvYnJhcyBkZXJpdmFkYXMuIFRvZG9zIGxvcyBkZXJlY2hvcyBubyBvdG9yZ2Fkb3MgZXhwcmVzYW1lbnRlIHBvciBlbCBMaWNlbmNpYW50ZSBxdWVkYW4gcG9yIGVzdGUgbWVkaW8gcmVzZXJ2YWRvcywgaW5jbHV5ZW5kbyBwZXJvIHNpbiBsaW1pdGFyc2UgYSBhcXVlbGxvcyBxdWUgc2UgbWVuY2lvbmFuIGVuIGxhcyBzZWNjaW9uZXMgNChkKSB5IDQoZSkuCgo0LiBSZXN0cmljY2lvbmVzLgpMYSBsaWNlbmNpYSBvdG9yZ2FkYSBlbiBsYSBhbnRlcmlvciBTZWNjacOzbiAzIGVzdMOhIGV4cHJlc2FtZW50ZSBzdWpldGEgeSBsaW1pdGFkYSBwb3IgbGFzIHNpZ3VpZW50ZXMgcmVzdHJpY2Npb25lczoKCmEuCVVzdGVkIHB1ZWRlIGRpc3RyaWJ1aXIsIGV4aGliaXIgcMO6YmxpY2FtZW50ZSwgZWplY3V0YXIgcMO6YmxpY2FtZW50ZSwgbyBwb25lciBhIGRpc3Bvc2ljacOzbiBww7pibGljYSBsYSBPYnJhIHPDs2xvIGJham8gbGFzIGNvbmRpY2lvbmVzIGRlIGVzdGEgTGljZW5jaWEsIHkgVXN0ZWQgZGViZSBpbmNsdWlyIHVuYSBjb3BpYSBkZSBlc3RhIGxpY2VuY2lhIG8gZGVsIElkZW50aWZpY2Fkb3IgVW5pdmVyc2FsIGRlIFJlY3Vyc29zIGRlIGxhIG1pc21hIGNvbiBjYWRhIGNvcGlhIGRlIGxhIE9icmEgcXVlIGRpc3RyaWJ1eWEsIGV4aGliYSBww7pibGljYW1lbnRlLCBlamVjdXRlIHDDumJsaWNhbWVudGUgbyBwb25nYSBhIGRpc3Bvc2ljacOzbiBww7pibGljYS4gTm8gZXMgcG9zaWJsZSBvZnJlY2VyIG8gaW1wb25lciBuaW5ndW5hIGNvbmRpY2nDs24gc29icmUgbGEgT2JyYSBxdWUgYWx0ZXJlIG8gbGltaXRlIGxhcyBjb25kaWNpb25lcyBkZSBlc3RhIExpY2VuY2lhIG8gZWwgZWplcmNpY2lvIGRlIGxvcyBkZXJlY2hvcyBkZSBsb3MgZGVzdGluYXRhcmlvcyBvdG9yZ2Fkb3MgZW4gZXN0ZSBkb2N1bWVudG8uIE5vIGVzIHBvc2libGUgc3VibGljZW5jaWFyIGxhIE9icmEuIFVzdGVkIGRlYmUgbWFudGVuZXIgaW50YWN0b3MgdG9kb3MgbG9zIGF2aXNvcyBxdWUgaGFnYW4gcmVmZXJlbmNpYSBhIGVzdGEgTGljZW5jaWEgeSBhIGxhIGNsw6F1c3VsYSBkZSBsaW1pdGFjacOzbiBkZSBnYXJhbnTDrWFzLiBVc3RlZCBubyBwdWVkZSBkaXN0cmlidWlyLCBleGhpYmlyIHDDumJsaWNhbWVudGUsIGVqZWN1dGFyIHDDumJsaWNhbWVudGUsIG8gcG9uZXIgYSBkaXNwb3NpY2nDs24gcMO6YmxpY2EgbGEgT2JyYSBjb24gYWxndW5hIG1lZGlkYSB0ZWNub2zDs2dpY2EgcXVlIGNvbnRyb2xlIGVsIGFjY2VzbyBvIGxhIHV0aWxpemFjacOzbiBkZSBlbGxhIGRlIHVuYSBmb3JtYSBxdWUgc2VhIGluY29uc2lzdGVudGUgY29uIGxhcyBjb25kaWNpb25lcyBkZSBlc3RhIExpY2VuY2lhLiBMbyBhbnRlcmlvciBzZSBhcGxpY2EgYSBsYSBPYnJhIGluY29ycG9yYWRhIGEgdW5hIE9icmEgQ29sZWN0aXZhLCBwZXJvIGVzdG8gbm8gZXhpZ2UgcXVlIGxhIE9icmEgQ29sZWN0aXZhIGFwYXJ0ZSBkZSBsYSBvYnJhIG1pc21hIHF1ZWRlIHN1amV0YSBhIGxhcyBjb25kaWNpb25lcyBkZSBlc3RhIExpY2VuY2lhLiBTaSBVc3RlZCBjcmVhIHVuYSBPYnJhIENvbGVjdGl2YSwgcHJldmlvIGF2aXNvIGRlIGN1YWxxdWllciBMaWNlbmNpYW50ZSBkZWJlLCBlbiBsYSBtZWRpZGEgZGUgbG8gcG9zaWJsZSwgZWxpbWluYXIgZGUgbGEgT2JyYSBDb2xlY3RpdmEgY3VhbHF1aWVyIHJlZmVyZW5jaWEgYSBkaWNobyBMaWNlbmNpYW50ZSBvIGFsIEF1dG9yIE9yaWdpbmFsLCBzZWfDum4gbG8gc29saWNpdGFkbyBwb3IgZWwgTGljZW5jaWFudGUgeSBjb25mb3JtZSBsbyBleGlnZSBsYSBjbMOhdXN1bGEgNChjKS4KCmIuCVVzdGVkIG5vIHB1ZWRlIGVqZXJjZXIgbmluZ3VubyBkZSBsb3MgZGVyZWNob3MgcXVlIGxlIGhhbiBzaWRvIG90b3JnYWRvcyBlbiBsYSBTZWNjacOzbiAzIHByZWNlZGVudGUgZGUgbW9kbyBxdWUgZXN0w6luIHByaW5jaXBhbG1lbnRlIGRlc3RpbmFkb3MgbyBkaXJlY3RhbWVudGUgZGlyaWdpZG9zIGEgY29uc2VndWlyIHVuIHByb3ZlY2hvIGNvbWVyY2lhbCBvIHVuYSBjb21wZW5zYWNpw7NuIG1vbmV0YXJpYSBwcml2YWRhLiBFbCBpbnRlcmNhbWJpbyBkZSBsYSBPYnJhIHBvciBvdHJhcyBvYnJhcyBwcm90ZWdpZGFzIHBvciBkZXJlY2hvcyBkZSBhdXRvciwgeWEgc2VhIGEgdHJhdsOpcyBkZSB1biBzaXN0ZW1hIHBhcmEgY29tcGFydGlyIGFyY2hpdm9zIGRpZ2l0YWxlcyAoZGlnaXRhbCBmaWxlLXNoYXJpbmcpIG8gZGUgY3VhbHF1aWVyIG90cmEgbWFuZXJhIG5vIHNlcsOhIGNvbnNpZGVyYWRvIGNvbW8gZXN0YXIgZGVzdGluYWRvIHByaW5jaXBhbG1lbnRlIG8gZGlyaWdpZG8gZGlyZWN0YW1lbnRlIGEgY29uc2VndWlyIHVuIHByb3ZlY2hvIGNvbWVyY2lhbCBvIHVuYSBjb21wZW5zYWNpw7NuIG1vbmV0YXJpYSBwcml2YWRhLCBzaWVtcHJlIHF1ZSBubyBzZSByZWFsaWNlIHVuIHBhZ28gbWVkaWFudGUgdW5hIGNvbXBlbnNhY2nDs24gbW9uZXRhcmlhIGVuIHJlbGFjacOzbiBjb24gZWwgaW50ZXJjYW1iaW8gZGUgb2JyYXMgcHJvdGVnaWRhcyBwb3IgZWwgZGVyZWNobyBkZSBhdXRvci4KCmMuCVNpIHVzdGVkIGRpc3RyaWJ1eWUsIGV4aGliZSBww7pibGljYW1lbnRlLCBlamVjdXRhIHDDumJsaWNhbWVudGUgbyBlamVjdXRhIHDDumJsaWNhbWVudGUgZW4gZm9ybWEgZGlnaXRhbCBsYSBPYnJhIG8gY3VhbHF1aWVyIE9icmEgRGVyaXZhZGEgdSBPYnJhIENvbGVjdGl2YSwgVXN0ZWQgZGViZSBtYW50ZW5lciBpbnRhY3RhIHRvZGEgbGEgaW5mb3JtYWNpw7NuIGRlIGRlcmVjaG8gZGUgYXV0b3IgZGUgbGEgT2JyYSB5IHByb3BvcmNpb25hciwgZGUgZm9ybWEgcmF6b25hYmxlIHNlZ8O6biBlbCBtZWRpbyBvIG1hbmVyYSBxdWUgVXN0ZWQgZXN0w6kgdXRpbGl6YW5kbzogKGkpIGVsIG5vbWJyZSBkZWwgQXV0b3IgT3JpZ2luYWwgc2kgZXN0w6EgcHJvdmlzdG8gKG8gc2V1ZMOzbmltbywgc2kgZnVlcmUgYXBsaWNhYmxlKSwgeS9vIChpaSkgZWwgbm9tYnJlIGRlIGxhIHBhcnRlIG8gbGFzIHBhcnRlcyBxdWUgZWwgQXV0b3IgT3JpZ2luYWwgeS9vIGVsIExpY2VuY2lhbnRlIGh1YmllcmVuIGRlc2lnbmFkbyBwYXJhIGxhIGF0cmlidWNpw7NuICh2LmcuLCB1biBpbnN0aXR1dG8gcGF0cm9jaW5hZG9yLCBlZGl0b3JpYWwsIHB1YmxpY2FjacOzbikgZW4gbGEgaW5mb3JtYWNpw7NuIGRlIGxvcyBkZXJlY2hvcyBkZSBhdXRvciBkZWwgTGljZW5jaWFudGUsIHTDqXJtaW5vcyBkZSBzZXJ2aWNpb3MgbyBkZSBvdHJhcyBmb3JtYXMgcmF6b25hYmxlczsgZWwgdMOtdHVsbyBkZSBsYSBPYnJhIHNpIGVzdMOhIHByb3Zpc3RvOyBlbiBsYSBtZWRpZGEgZGUgbG8gcmF6b25hYmxlbWVudGUgZmFjdGlibGUgeSwgc2kgZXN0w6EgcHJvdmlzdG8sIGVsIElkZW50aWZpY2Fkb3IgVW5pZm9ybWUgZGUgUmVjdXJzb3MgKFVuaWZvcm0gUmVzb3VyY2UgSWRlbnRpZmllcikgcXVlIGVsIExpY2VuY2lhbnRlIGVzcGVjaWZpY2EgcGFyYSBzZXIgYXNvY2lhZG8gY29uIGxhIE9icmEsIHNhbHZvIHF1ZSB0YWwgVVJJIG5vIHNlIHJlZmllcmEgYSBsYSBub3RhIHNvYnJlIGxvcyBkZXJlY2hvcyBkZSBhdXRvciBvIGEgbGEgaW5mb3JtYWNpw7NuIHNvYnJlIGVsIGxpY2VuY2lhbWllbnRvIGRlIGxhIE9icmE7IHkgZW4gZWwgY2FzbyBkZSB1bmEgT2JyYSBEZXJpdmFkYSwgYXRyaWJ1aXIgZWwgY3LDqWRpdG8gaWRlbnRpZmljYW5kbyBlbCB1c28gZGUgbGEgT2JyYSBlbiBsYSBPYnJhIERlcml2YWRhICh2LmcuLCAiVHJhZHVjY2nDs24gRnJhbmNlc2EgZGUgbGEgT2JyYSBkZWwgQXV0b3IgT3JpZ2luYWwsIiBvICJHdWnDs24gQ2luZW1hdG9ncsOhZmljbyBiYXNhZG8gZW4gbGEgT2JyYSBvcmlnaW5hbCBkZWwgQXV0b3IgT3JpZ2luYWwiKS4gVGFsIGNyw6lkaXRvIHB1ZWRlIHNlciBpbXBsZW1lbnRhZG8gZGUgY3VhbHF1aWVyIGZvcm1hIHJhem9uYWJsZTsgZW4gZWwgY2Fzbywgc2luIGVtYmFyZ28sIGRlIE9icmFzIERlcml2YWRhcyB1IE9icmFzIENvbGVjdGl2YXMsIHRhbCBjcsOpZGl0byBhcGFyZWNlcsOhLCBjb21vIG3DrW5pbW8sIGRvbmRlIGFwYXJlY2UgZWwgY3LDqWRpdG8gZGUgY3VhbHF1aWVyIG90cm8gYXV0b3IgY29tcGFyYWJsZSB5IGRlIHVuYSBtYW5lcmEsIGFsIG1lbm9zLCB0YW4gZGVzdGFjYWRhIGNvbW8gZWwgY3LDqWRpdG8gZGUgb3RybyBhdXRvciBjb21wYXJhYmxlLgoKZC4JUGFyYSBldml0YXIgdG9kYSBjb25mdXNpw7NuLCBlbCBMaWNlbmNpYW50ZSBhY2xhcmEgcXVlLCBjdWFuZG8gbGEgb2JyYSBlcyB1bmEgY29tcG9zaWNpw7NuIG11c2ljYWw6CgppLglSZWdhbMOtYXMgcG9yIGludGVycHJldGFjacOzbiB5IGVqZWN1Y2nDs24gYmFqbyBsaWNlbmNpYXMgZ2VuZXJhbGVzLiBFbCBMaWNlbmNpYW50ZSBzZSByZXNlcnZhIGVsIGRlcmVjaG8gZXhjbHVzaXZvIGRlIGF1dG9yaXphciBsYSBlamVjdWNpw7NuIHDDumJsaWNhIG8gbGEgZWplY3VjacOzbiBww7pibGljYSBkaWdpdGFsIGRlIGxhIG9icmEgeSBkZSByZWNvbGVjdGFyLCBzZWEgaW5kaXZpZHVhbG1lbnRlIG8gYSB0cmF2w6lzIGRlIHVuYSBzb2NpZWRhZCBkZSBnZXN0acOzbiBjb2xlY3RpdmEgZGUgZGVyZWNob3MgZGUgYXV0b3IgeSBkZXJlY2hvcyBjb25leG9zIChwb3IgZWplbXBsbywgU0FZQ08pLCBsYXMgcmVnYWzDrWFzIHBvciBsYSBlamVjdWNpw7NuIHDDumJsaWNhIG8gcG9yIGxhIGVqZWN1Y2nDs24gcMO6YmxpY2EgZGlnaXRhbCBkZSBsYSBvYnJhIChwb3IgZWplbXBsbyBXZWJjYXN0KSBsaWNlbmNpYWRhIGJham8gbGljZW5jaWFzIGdlbmVyYWxlcywgc2kgbGEgaW50ZXJwcmV0YWNpw7NuIG8gZWplY3VjacOzbiBkZSBsYSBvYnJhIGVzdMOhIHByaW1vcmRpYWxtZW50ZSBvcmllbnRhZGEgcG9yIG8gZGlyaWdpZGEgYSBsYSBvYnRlbmNpw7NuIGRlIHVuYSB2ZW50YWphIGNvbWVyY2lhbCBvIHVuYSBjb21wZW5zYWNpw7NuIG1vbmV0YXJpYSBwcml2YWRhLgoKaWkuCVJlZ2Fsw61hcyBwb3IgRm9ub2dyYW1hcy4gRWwgTGljZW5jaWFudGUgc2UgcmVzZXJ2YSBlbCBkZXJlY2hvIGV4Y2x1c2l2byBkZSByZWNvbGVjdGFyLCBpbmRpdmlkdWFsbWVudGUgbyBhIHRyYXbDqXMgZGUgdW5hIHNvY2llZGFkIGRlIGdlc3Rpw7NuIGNvbGVjdGl2YSBkZSBkZXJlY2hvcyBkZSBhdXRvciB5IGRlcmVjaG9zIGNvbmV4b3MgKHBvciBlamVtcGxvLCBsb3MgY29uc2FncmFkb3MgcG9yIGxhIFNBWUNPKSwgdW5hIGFnZW5jaWEgZGUgZGVyZWNob3MgbXVzaWNhbGVzIG8gYWxnw7puIGFnZW50ZSBkZXNpZ25hZG8sIGxhcyByZWdhbMOtYXMgcG9yIGN1YWxxdWllciBmb25vZ3JhbWEgcXVlIFVzdGVkIGNyZWUgYSBwYXJ0aXIgZGUgbGEgb2JyYSAo4oCcdmVyc2nDs24gY292ZXLigJ0pIHkgZGlzdHJpYnV5YSwgZW4gbG9zIHTDqXJtaW5vcyBkZWwgcsOpZ2ltZW4gZGUgZGVyZWNob3MgZGUgYXV0b3IsIHNpIGxhIGNyZWFjacOzbiBvIGRpc3RyaWJ1Y2nDs24gZGUgZXNhIHZlcnNpw7NuIGNvdmVyIGVzdMOhIHByaW1vcmRpYWxtZW50ZSBkZXN0aW5hZGEgbyBkaXJpZ2lkYSBhIG9idGVuZXIgdW5hIHZlbnRhamEgY29tZXJjaWFsIG8gdW5hIGNvbXBlbnNhY2nDs24gbW9uZXRhcmlhIHByaXZhZGEuCgplLglHZXN0acOzbiBkZSBEZXJlY2hvcyBkZSBBdXRvciBzb2JyZSBJbnRlcnByZXRhY2lvbmVzIHkgRWplY3VjaW9uZXMgRGlnaXRhbGVzIChXZWJDYXN0aW5nKS4gUGFyYSBldml0YXIgdG9kYSBjb25mdXNpw7NuLCBlbCBMaWNlbmNpYW50ZSBhY2xhcmEgcXVlLCBjdWFuZG8gbGEgb2JyYSBzZWEgdW4gZm9ub2dyYW1hLCBlbCBMaWNlbmNpYW50ZSBzZSByZXNlcnZhIGVsIGRlcmVjaG8gZXhjbHVzaXZvIGRlIGF1dG9yaXphciBsYSBlamVjdWNpw7NuIHDDumJsaWNhIGRpZ2l0YWwgZGUgbGEgb2JyYSAocG9yIGVqZW1wbG8sIHdlYmNhc3QpIHkgZGUgcmVjb2xlY3RhciwgaW5kaXZpZHVhbG1lbnRlIG8gYSB0cmF2w6lzIGRlIHVuYSBzb2NpZWRhZCBkZSBnZXN0acOzbiBjb2xlY3RpdmEgZGUgZGVyZWNob3MgZGUgYXV0b3IgeSBkZXJlY2hvcyBjb25leG9zIChwb3IgZWplbXBsbywgQUNJTlBSTyksIGxhcyByZWdhbMOtYXMgcG9yIGxhIGVqZWN1Y2nDs24gcMO6YmxpY2EgZGlnaXRhbCBkZSBsYSBvYnJhIChwb3IgZWplbXBsbywgd2ViY2FzdCksIHN1amV0YSBhIGxhcyBkaXNwb3NpY2lvbmVzIGFwbGljYWJsZXMgZGVsIHLDqWdpbWVuIGRlIERlcmVjaG8gZGUgQXV0b3IsIHNpIGVzdGEgZWplY3VjacOzbiBww7pibGljYSBkaWdpdGFsIGVzdMOhIHByaW1vcmRpYWxtZW50ZSBkaXJpZ2lkYSBhIG9idGVuZXIgdW5hIHZlbnRhamEgY29tZXJjaWFsIG8gdW5hIGNvbXBlbnNhY2nDs24gbW9uZXRhcmlhIHByaXZhZGEuCgo1LiBSZXByZXNlbnRhY2lvbmVzLCBHYXJhbnTDrWFzIHkgTGltaXRhY2lvbmVzIGRlIFJlc3BvbnNhYmlsaWRhZC4KQSBNRU5PUyBRVUUgTEFTIFBBUlRFUyBMTyBBQ09SREFSQU4gREUgT1RSQSBGT1JNQSBQT1IgRVNDUklUTywgRUwgTElDRU5DSUFOVEUgT0ZSRUNFIExBIE9CUkEgKEVOIEVMIEVTVEFETyBFTiBFTCBRVUUgU0UgRU5DVUVOVFJBKSDigJxUQUwgQ1VBTOKAnSwgU0lOIEJSSU5EQVIgR0FSQU5Uw41BUyBERSBDTEFTRSBBTEdVTkEgUkVTUEVDVE8gREUgTEEgT0JSQSwgWUEgU0VBIEVYUFJFU0EsIElNUEzDjUNJVEEsIExFR0FMIE8gQ1VBTFFVSUVSQSBPVFJBLCBJTkNMVVlFTkRPLCBTSU4gTElNSVRBUlNFIEEgRUxMQVMsIEdBUkFOVMONQVMgREUgVElUVUxBUklEQUQsIENPTUVSQ0lBQklMSURBRCwgQURBUFRBQklMSURBRCBPIEFERUNVQUNJw5NOIEEgUFJPUMOTU0lUTyBERVRFUk1JTkFETywgQVVTRU5DSUEgREUgSU5GUkFDQ0nDk04sIERFIEFVU0VOQ0lBIERFIERFRkVDVE9TIExBVEVOVEVTIE8gREUgT1RSTyBUSVBPLCBPIExBIFBSRVNFTkNJQSBPIEFVU0VOQ0lBIERFIEVSUk9SRVMsIFNFQU4gTyBOTyBERVNDVUJSSUJMRVMgKFBVRURBTiBPIE5PIFNFUiBFU1RPUyBERVNDVUJJRVJUT1MpLiBBTEdVTkFTIEpVUklTRElDQ0lPTkVTIE5PIFBFUk1JVEVOIExBIEVYQ0xVU0nDk04gREUgR0FSQU5Uw41BUyBJTVBMw41DSVRBUywgRU4gQ1VZTyBDQVNPIEVTVEEgRVhDTFVTScOTTiBQVUVERSBOTyBBUExJQ0FSU0UgQSBVU1RFRC4KCjYuIExpbWl0YWNpw7NuIGRlIHJlc3BvbnNhYmlsaWRhZC4KQSBNRU5PUyBRVUUgTE8gRVhJSkEgRVhQUkVTQU1FTlRFIExBIExFWSBBUExJQ0FCTEUsIEVMIExJQ0VOQ0lBTlRFIE5PIFNFUsOBIFJFU1BPTlNBQkxFIEFOVEUgVVNURUQgUE9SIERBw5FPIEFMR1VOTywgU0VBIFBPUiBSRVNQT05TQUJJTElEQUQgRVhUUkFDT05UUkFDVFVBTCwgUFJFQ09OVFJBQ1RVQUwgTyBDT05UUkFDVFVBTCwgT0JKRVRJVkEgTyBTVUJKRVRJVkEsIFNFIFRSQVRFIERFIERBw5FPUyBNT1JBTEVTIE8gUEFUUklNT05JQUxFUywgRElSRUNUT1MgTyBJTkRJUkVDVE9TLCBQUkVWSVNUT1MgTyBJTVBSRVZJU1RPUyBQUk9EVUNJRE9TIFBPUiBFTCBVU08gREUgRVNUQSBMSUNFTkNJQSBPIERFIExBIE9CUkEsIEFVTiBDVUFORE8gRUwgTElDRU5DSUFOVEUgSEFZQSBTSURPIEFEVkVSVElETyBERSBMQSBQT1NJQklMSURBRCBERSBESUNIT1MgREHDkU9TLiBBTEdVTkFTIExFWUVTIE5PIFBFUk1JVEVOIExBIEVYQ0xVU0nDk04gREUgQ0lFUlRBIFJFU1BPTlNBQklMSURBRCwgRU4gQ1VZTyBDQVNPIEVTVEEgRVhDTFVTScOTTiBQVUVERSBOTyBBUExJQ0FSU0UgQSBVU1RFRC4KCjcuIFTDqXJtaW5vLgoKYS4JRXN0YSBMaWNlbmNpYSB5IGxvcyBkZXJlY2hvcyBvdG9yZ2Fkb3MgZW4gdmlydHVkIGRlIGVsbGEgdGVybWluYXLDoW4gYXV0b23DoXRpY2FtZW50ZSBzaSBVc3RlZCBpbmZyaW5nZSBhbGd1bmEgY29uZGljacOzbiBlc3RhYmxlY2lkYSBlbiBlbGxhLiBTaW4gZW1iYXJnbywgbG9zIGluZGl2aWR1b3MgbyBlbnRpZGFkZXMgcXVlIGhhbiByZWNpYmlkbyBPYnJhcyBEZXJpdmFkYXMgbyBDb2xlY3RpdmFzIGRlIFVzdGVkIGRlIGNvbmZvcm1pZGFkIGNvbiBlc3RhIExpY2VuY2lhLCBubyB2ZXLDoW4gdGVybWluYWRhcyBzdXMgbGljZW5jaWFzLCBzaWVtcHJlIHF1ZSBlc3RvcyBpbmRpdmlkdW9zIG8gZW50aWRhZGVzIHNpZ2FuIGN1bXBsaWVuZG8gw61udGVncmFtZW50ZSBsYXMgY29uZGljaW9uZXMgZGUgZXN0YXMgbGljZW5jaWFzLiBMYXMgU2VjY2lvbmVzIDEsIDIsIDUsIDYsIDcsIHkgOCBzdWJzaXN0aXLDoW4gYSBjdWFscXVpZXIgdGVybWluYWNpw7NuIGRlIGVzdGEgTGljZW5jaWEuCgpiLglTdWpldGEgYSBsYXMgY29uZGljaW9uZXMgeSB0w6lybWlub3MgYW50ZXJpb3JlcywgbGEgbGljZW5jaWEgb3RvcmdhZGEgYXF1w60gZXMgcGVycGV0dWEgKGR1cmFudGUgZWwgcGVyw61vZG8gZGUgdmlnZW5jaWEgZGUgbG9zIGRlcmVjaG9zIGRlIGF1dG9yIGRlIGxhIG9icmEpLiBObyBvYnN0YW50ZSBsbyBhbnRlcmlvciwgZWwgTGljZW5jaWFudGUgc2UgcmVzZXJ2YSBlbCBkZXJlY2hvIGEgcHVibGljYXIgeS9vIGVzdHJlbmFyIGxhIE9icmEgYmFqbyBjb25kaWNpb25lcyBkZSBsaWNlbmNpYSBkaWZlcmVudGVzIG8gYSBkZWphciBkZSBkaXN0cmlidWlybGEgZW4gbG9zIHTDqXJtaW5vcyBkZSBlc3RhIExpY2VuY2lhIGVuIGN1YWxxdWllciBtb21lbnRvOyBlbiBlbCBlbnRlbmRpZG8sIHNpbiBlbWJhcmdvLCBxdWUgZXNhIGVsZWNjacOzbiBubyBzZXJ2aXLDoSBwYXJhIHJldm9jYXIgZXN0YSBsaWNlbmNpYSBvIHF1ZSBkZWJhIHNlciBvdG9yZ2FkYSAsIGJham8gbG9zIHTDqXJtaW5vcyBkZSBlc3RhIGxpY2VuY2lhKSwgeSBlc3RhIGxpY2VuY2lhIGNvbnRpbnVhcsOhIGVuIHBsZW5vIHZpZ29yIHkgZWZlY3RvIGEgbWVub3MgcXVlIHNlYSB0ZXJtaW5hZGEgY29tbyBzZSBleHByZXNhIGF0csOhcy4gTGEgTGljZW5jaWEgcmV2b2NhZGEgY29udGludWFyw6Egc2llbmRvIHBsZW5hbWVudGUgdmlnZW50ZSB5IGVmZWN0aXZhIHNpIG5vIHNlIGxlIGRhIHTDqXJtaW5vIGVuIGxhcyBjb25kaWNpb25lcyBpbmRpY2FkYXMgYW50ZXJpb3JtZW50ZS4KCjguIFZhcmlvcy4KCmEuCUNhZGEgdmV6IHF1ZSBVc3RlZCBkaXN0cmlidXlhIG8gcG9uZ2EgYSBkaXNwb3NpY2nDs24gcMO6YmxpY2EgbGEgT2JyYSBvIHVuYSBPYnJhIENvbGVjdGl2YSwgZWwgTGljZW5jaWFudGUgb2ZyZWNlcsOhIGFsIGRlc3RpbmF0YXJpbyB1bmEgbGljZW5jaWEgZW4gbG9zIG1pc21vcyB0w6lybWlub3MgeSBjb25kaWNpb25lcyBxdWUgbGEgbGljZW5jaWEgb3RvcmdhZGEgYSBVc3RlZCBiYWpvIGVzdGEgTGljZW5jaWEuCgpiLglTaSBhbGd1bmEgZGlzcG9zaWNpw7NuIGRlIGVzdGEgTGljZW5jaWEgcmVzdWx0YSBpbnZhbGlkYWRhIG8gbm8gZXhpZ2libGUsIHNlZ8O6biBsYSBsZWdpc2xhY2nDs24gdmlnZW50ZSwgZXN0byBubyBhZmVjdGFyw6EgbmkgbGEgdmFsaWRleiBuaSBsYSBhcGxpY2FiaWxpZGFkIGRlbCByZXN0byBkZSBjb25kaWNpb25lcyBkZSBlc3RhIExpY2VuY2lhIHksIHNpbiBhY2Npw7NuIGFkaWNpb25hbCBwb3IgcGFydGUgZGUgbG9zIHN1amV0b3MgZGUgZXN0ZSBhY3VlcmRvLCBhcXXDqWxsYSBzZSBlbnRlbmRlcsOhIHJlZm9ybWFkYSBsbyBtw61uaW1vIG5lY2VzYXJpbyBwYXJhIGhhY2VyIHF1ZSBkaWNoYSBkaXNwb3NpY2nDs24gc2VhIHbDoWxpZGEgeSBleGlnaWJsZS4KCmMuCU5pbmfDum4gdMOpcm1pbm8gbyBkaXNwb3NpY2nDs24gZGUgZXN0YSBMaWNlbmNpYSBzZSBlc3RpbWFyw6EgcmVudW5jaWFkYSB5IG5pbmd1bmEgdmlvbGFjacOzbiBkZSBlbGxhIHNlcsOhIGNvbnNlbnRpZGEgYSBtZW5vcyBxdWUgZXNhIHJlbnVuY2lhIG8gY29uc2VudGltaWVudG8gc2VhIG90b3JnYWRvIHBvciBlc2NyaXRvIHkgZmlybWFkbyBwb3IgbGEgcGFydGUgcXVlIHJlbnVuY2llIG8gY29uc2llbnRhLgoKZC4JRXN0YSBMaWNlbmNpYSByZWZsZWphIGVsIGFjdWVyZG8gcGxlbm8gZW50cmUgbGFzIHBhcnRlcyByZXNwZWN0byBhIGxhIE9icmEgYXF1w60gbGljZW5jaWFkYS4gTm8gaGF5IGFycmVnbG9zLCBhY3VlcmRvcyBvIGRlY2xhcmFjaW9uZXMgcmVzcGVjdG8gYSBsYSBPYnJhIHF1ZSBubyBlc3TDqW4gZXNwZWNpZmljYWRvcyBlbiBlc3RlIGRvY3VtZW50by4gRWwgTGljZW5jaWFudGUgbm8gc2UgdmVyw6EgbGltaXRhZG8gcG9yIG5pbmd1bmEgZGlzcG9zaWNpw7NuIGFkaWNpb25hbCBxdWUgcHVlZGEgc3VyZ2lyIGVuIGFsZ3VuYSBjb211bmljYWNpw7NuIGVtYW5hZGEgZGUgVXN0ZWQuIEVzdGEgTGljZW5jaWEgbm8gcHVlZGUgc2VyIG1vZGlmaWNhZGEgc2luIGVsIGNvbnNlbnRpbWllbnRvIG11dHVvIHBvciBlc2NyaXRvIGRlbCBMaWNlbmNpYW50ZSB5IFVzdGVkLgo=0000-0001-8205-6304f2e2128d370a60118c2180185377df0d6000000-0002-7421-175442d5cd47b8a68337520d9832bb3abf68600