Experto entrega 5 claves para fomentar la discusión matemática efectiva

mate a

Profesor Francisco Rojas Sateler dictó el penúltimo Conversatorio sobre discusión en el aula de matemática del año y lo centró en las prácticas docentes para orquestar discusiones productivas en matemática.

Un curso de cuarto básico necesita 5 hojas diarias para alimentar a sus dos orugas. ¿Cuántas hojas necesitarían los estudiantes cada día si tuvieran 12 orugas?

Con este sencillo problema matemático se dio inicio el pasado 22 de noviembre al penúltimo Conversatorio sobre Argumentación Matemática del año, en un ciclo organizado durante 2016 por CEPPE y la Facultad de Educación UC, y al que han asistido durante el año más de mil profesores en ejercicio de la asignatura.

Mat b

El expositor fue en esta ocasión el profesor del área de Didáctica de la Matemática Francisco Rojas Sataler, que expuso ante unos 70 docentes quienes discutieron por casi dos horas las distintas maneras de promover el razonamiento y la argumentación matemática en sus clases a partir de este sencillo dilema escolar.

Rojas explicó que lo ideal es que los estudiantes puedan resolver el problema de distintas formas, siendo necesario que expliquen la forma en que llegan a la respuesta, y decir por qué en efecto es correcta. “Pueden emplear tablas, esquemas, explicaciones por escrito. Lo importante es dejar a los estudiantes construir su propia manera de resolver las tareas y que sean cognitivamente desafiantes” sugirió.

Cinco claves

El profesor Rojas destacó durante su charla la importancia de que los estudiantes fuesen capaces de explicar su razonamiento. “La discusión matemática fomenta el respeto por las ideas del otro. Todos y cada uno de los alumnos tiene la posibilidad de llegar a ser autores de su propio conocimiento matemático”.

Mientras más formas de resolver un problema existan al interior de una clase, más posibilidades de conexiones existen, y por tanto más rica puede ser la discusión, sostuvo Rojas Sataler. Lo que un profesor nunca debería hacer es llevar a sus alumnos a conocer sólo una manera de resolver el problema, profundizó.

Mat c

Para producir una discusión efectiva, el profesor de la UC sugirió 5 prácticas para orquestar discusiones productivas en matemática: anticipar las posibles respuestas del alumno a las tareas matemáticas desafiantes; monitorear las respuestas de los estudiantes a las tareas mientras trabajan individualmente o en pequeño grupo; seleccionar a determinados estudiantes para que presenten su trabajo matemático durante la puesta en común; secuenciar la presentación de estudiantes en un orden específico y conectar las respuestas de los estudiantes y éstas con una idea matemática clave.

-Las prácticas de seleccionar, secuenciar y conectar se fundamentan a su vez con un monitoreo eficaz, el cual generará la materia prima para la discusión basada en el pensamiento del estudiante, lo que permite dirigir la clase hacia el cumplimiento de la meta matemática–comentó al finalizar la charla el profesor Rojas Sataler.

Texto: Francisco Zabaleta, CEPPE-UC

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1 × SELECT `data` FROM `educacion_session`

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1 × UPDATE `educacion_session` SET `data` = '__default|a:8:{s:15:\"session.counter\";i:1;s:19:\"session.timer.start\";i:1743865502;s:18:\"session.timer.last\";i:1743865502;s:17:\"session.timer.now\";i:1743865502;s:24:\"session.client.forwarded\";s:14:\"18.119.253.152\";s:8:\"registry\";O:9:\"JRegistry\":1:{s:7:\"\0*\0data\";O:8:\"stdClass\":0:{}}s:4:\"user\";O:5:\"JUser\":25:{s:9:\"\0*\0isRoot\";b:0;s:2:\"id\";i:0;s:4:\"name\";N;s:8:\"username\";N;s:5:\"email\";N;s:8:\"password\";N;s:14:\"password_clear\";s:0:\"\";s:8:\"usertype\";N;s:5:\"block\";N;s:9:\"sendEmail\";i:0;s:12:\"registerDate\";N;s:13:\"lastvisitDate\";N;s:10:\"activation\";N;s:6:\"params\";N;s:6:\"groups\";a:0:{}s:5:\"guest\";i:1;s:13:\"lastResetTime\";N;s:10:\"resetCount\";N;s:10:\"\0*\0_params\";O:9:\"JRegistry\":1:{s:7:\"\0*\0data\";O:8:\"stdClass\":0:{}}s:14:\"\0*\0_authGroups\";a:1:{i:0;i:1;}s:14:\"\0*\0_authLevels\";a:2:{i:0;i:1;i:1;i:1;}s:15:\"\0*\0_authActions\";N;s:12:\"\0*\0_errorMsg\";N;s:10:\"\0*\0_errors\";a:0:{}s:3:\"aid\";i:0;}s:20:\"com_rsfirewall.geoip\";s:2:\"US\";}' , `time` = '1743865503'
1 × UPDATE educacion_content SET hits = hits + 1
1 × SHOW FULL COLUMNS FROM `educacion_rsfirewall_logs
1 × INSERT INTO `educacion_session` (`session_id`, `client_id`, `time`) VALUES ('e74713c4cadcbbd9cd1f76b0a6a75838', 0, '1743865502'

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