Identifying Data 2015/16
Subject (*) Dificultades na aprendizaxe das matemáticas. Enfoque práctico Code 652513222
Study programme
Mestrado Universitario en Didácticas Específicas
Descriptors Cycle Period Year Type Credits
Official Master's Degree 2nd four-month period
First Obligatoria 3
Language
Galician
Teaching method Face-to-face
Prerequisites
Department Pedagoxía e Didáctica
Coordinador
Torre Fernandez, Enrique de la
E-mail
enrique.torref@udc.es
Lecturers
Soneira Calvo, Carlos
Torre Fernandez, Enrique de la
E-mail
carlos.soneira@udc.es
enrique.torref@udc.es
Web
General description

Study programme competencies
Code Study programme competences
A1 To know the theoretical basis of interdisciplinary work and identify its centre of interest in school and non-school contexts.
A2 To identify and critically analyse interdisciplinary proposals in the educational world.
A3 To design, justify and evaluate in a systematic manner interdisciplinary proposals in different educational contexts.
A8 To be able to defend and argue in oral and written ways the completed investigation and/or innovation work, using audio-visual aids.
A9 To test and evaluate disciplinary and interdisciplinary teaching projects in real educational contexts and to promote suggestions for improvement related to the obtained results.
A11 To know and understand scientific language and use it correctly in different ways of expression and communication.
A15 To identify quality and control criteria both in research and in the teaching practice, encouraging a critical, reflective and innovative spirit.
A16 To design, justify and evaluate research and innovation projects in the field of Specific Didactics.
A17 To select, adapt and apply materials, resources and ICTs to improve the teaching and learning in different disciplinary fields.
B1 To have and understand general knowledge to establish foundations and /or opportunities to stand out in the development and implementation of ideas, mainly in an action- research context.
B2 To be able to apply the acquired foundations and their problem-solving capabilities in new multidisciplinary contexts related to the specific research areas.
B3 To be able to join contents and accept the challenge to formulate complex statements out of a limited or incomplete information, including reflections about social and ethic responsibilities related to the application of their own knowledge and opinions.
B4 To be able to transfer and communicate their conclusions and opinions in a clear and straight manner both in a specialized and a non-specialized audience.
B5 To have the required learning abilities to continue in a life-long-learning and autonomous process.
B6 To be able to analyse and synthesize.
B7 To be able to adapt to new situations.
B8 To work with initiative and in an autonomous way.
B9 To work in a collaborative way.
B10 To be able to organize and plan in curricular and cross-curricular subjects.
B11 To be able to innovate (creativity) within educational and non-educational contexts.
B12 to behave with ethics and with social and environmental responsibility as a teacher and/or researcher.
B13 To be able to communicate with their peers, educational community and with society in general in the field of their areas of knowledge.
B14 To incorporate ICTs for the research process, information management, data analysis and for transferability.
B15 To be able to update knowledge, methodologies and strategies in their teaching practices
C1 To express correctly, both orally and in written texts, in the two co-official languages of the Autonomous Community.
C3 To use the main ICT’s basic tools for their professional development and for their life-long-learning process.
C4 To be able to self-develop for an open, critical, committed, democratic and solidary citizenship.
C6 To critically value available knowledge, technology and information to solve problems which students must face.
C7 To assume as a professional and as a citizen the importance of life-long-learning.
C8 To value the importance that research, innovation and technical developments have on society’s socio-economical and cultural progress.

Learning aims
Learning outcomes Study programme competences
Conocer y analizar las dificultadas asociadas a los distintos tipos de lenguaje y su interrelación en la educación matemática. AJ1
AJ2
AJ8
AJ11
AJ16
AJ17
BJ6
BJ7
BJ8
BJ10
BJ13
BJ14
BJ15
CJ1
CJ3
CJ4
CJ6
CJ7
CJ8
Conocer los principios, técnicas y recursos didácticos para dar respuesta a las dificultadas asociadas al uso de los distintos lenguajes en matemáticas AJ3
AJ9
BJ1
BJ2
BJ3
BJ4
BJ5
BJ11
BJ12
CJ1
CJ8
Conocer la influencia de las componentes afectivas en el proceso de enseñanza-aprendizaje de la matemática AJ2
AJ3
AJ8
AJ11
AJ15
BJ6
BJ7
BJ9
BJ12
BJ13
CJ1
CJ3
CJ4
CJ6
CJ7
CJ8
Adquirir la capacidad de resolver situaciones prácticas relativas a las dificultades del aprendizaje de la matemática AJ1
AJ2
AJ3
AJ8
AJ9
AJ16
AJ17
BJ6
BJ7
BJ9
BJ10
BJ11
BJ12
BJ13
BJ15
CJ1
CJ4
CJ6
CJ7
CJ8

Contents
Topic Sub-topic
Los lenguajes de la matemática.
Componentes afectivas.
Análisis y estudio de casos prácticos.
Metacognición en matemáticas

Planning
Methodologies / tests Competencies Ordinary class hours Student’s personal work hours Total hours
Document analysis A11 A15 A17 B3 B5 B8 B15 C3 C6 0 15 15
Collaborative learning A3 A8 A16 A17 B15 B14 B13 B12 B11 B10 B9 B7 B6 B5 B3 B2 B1 C1 8 8 16
Directed discussion A8 A11 A15 A17 B4 B6 B9 B12 B13 3 5 8
Research (Research project) A1 A2 A3 A8 A9 A11 A15 A16 A17 B1 B6 B7 B9 B10 B11 B12 B13 B14 B15 C1 C3 C4 C6 C7 C8 5 20 25
Oral presentation A8 A11 B6 B10 B13 C1 1 3 4
Introductory activities A1 A2 B2 B6 4 2 6
 
Personalized attention 1 0 1
 
(*)The information in the planning table is for guidance only and does not take into account the heterogeneity of the students.

Methodologies
Methodologies Description
Document analysis Utilización de documentos de toda tipoloxía, aplicables e relacionados coas didácticas específicas (primarias, secundarias e terciarias: arquivísticos, bibliográficos, audiovisuais, hemerográficos, arqueolóxicos, orais, textuais, literarias, etc.) relevantes para a temática da materia con actividades especificamente deseñadas para o traballo coasmesmas.
Collaborative learning Realización de traballos en grupos.
Directed discussion Posta en común dos contidos analizados nas fontes documentáis.
Discusión sobre a súa aplicabilidade.
Research (Research project) Proceso orientado á aprendizaxe do alumnado mediante a realización de actividades de carácter práctico a través das que se propoñen situacións que requiren ao estudante identificar un problema obxecto de estudo, formulalo con precisión, desenvolver os procedementos pertinentes, interpretar os resultados e sacar as conclusións oportunas do traballo realizado.
Oral presentation Exposición verbal, coa utilización dos recursos expositivos adecuados, que debe reflectir todas as fases do proceso de creación e desenvolvemento dos traballos titelados.
Introductory activities Presentación das liñas xerais da materia e toma de contacto cos estudantes, os seus intereses e expectativas.

Personalized attention
Methodologies
Description


Assessment
Methodologies Competencies Description Qualification
Research (Research project) A1 A2 A3 A8 A9 A11 A15 A16 A17 B1 B6 B7 B9 B10 B11 B12 B13 B14 B15 C1 C3 C4 C6 C7 C8 Traballo en equipo ou individual sobre un tema de interese.
Terase en conta a dificultade do tema elixido, a metodoloxía seguida na súa realización, a exposición dos resultados atopados e a argumentación das conclusións, entre outras cousas.
60
Oral presentation A8 A11 B6 B10 B13 C1 O alumnado terá que facer a presentación oral e defensa dun traballo.
Terase en conta a corrección na expresión oral, capacidade de síntese, capacidades comunicativas, así como a corrección e argumentación das respostas e a súa adecuación ás posibles cuestións que se formulen.
10
Collaborative learning A3 A8 A16 A17 B15 B14 B13 B12 B11 B10 B9 B7 B6 B5 B3 B2 B1 C1 Terase en conta a participación razoada, a realización razoada das tarefas e a aportación ás dinámicas de grupo. 30
 
Assessment comments

Si
el estudiante no llega a una asistencia del 80% de las clases
presenciales deberá ser evaluado además de por el trabajo, por una
prueba individual. En este caso los dos ítems de la evaluación (trabajo y
prueba individual) tendrán una ponderación del 50% exigiéndose en cada
una de ellas la nota igual o superior a 5 sobre 10.


Sources of information
Basic

Desoete, A. (2007) Evaluating and improving the mathematics teaching-learning process throught metacognition. Journal of Research in Education Psychology, N 13, vol 5(3), pp. 705-730.

Garofalo, Joe & Lester, Frank K. (1985) Metacognition, Cognitive Monitoring, and Mathematical Performance. Journal for Research in Mathematics Education,Vol. 16, No. 3 pp. 163-176.

KRAMARSKI, BRACHA; MEVARECH, ZEMIRA R. and MARSEL ARAMI (2002) The effects of metacognitive instruction on solving mathematical authentic tasks. Educational Studies in Mathematics 49: 225–250.

MATURANO, CARLA INÉS, SOLIVERES, MARÍA AMALIA y MACÍAS, ASCENSIÓN (2002) Estrategias cognitivas y metacognitivas en la comprensión de un texto de ciencias. Enseñanza de las Ciencias, 20 (3), 415-425

PIFARRÉ, MANOLI y SANUY, JAUME (2001) La enseñanza de estrategias de resolución de problemas matemáticos en la ESO: un ejemplo concreto. Enseñanza de las Ciencias, 19 (2), 297-308.

Ribeiro, María Filomena1 y Neto, António José (2008) La enseñanza de las ciencias y el desarrollo de destrezas de pensamiento: un estudio metacognitivo con alumnos de 7º de primaria. Enseñanza de las Ciencias, 26(2), 211–226.

Rigo Lemini, Mirela1, Páez, David Alfonso y Gómez, Bernardo (2010 ) Prácticas metacognitivas que el profesor de nivel básico promueve en sus clases ordinarias de matemáticas. Un marco interpretativo. Enseñanza de las Ciencias, 28(3), 405–416.

Zemira Mevarech & Shimon Fridkin (2006) The effects of IMPROVE on mathematical knowledge, mathematical reasoning and meta-cognition. Metacognition Learning 1: 85–97

Complementary


Recommendations
Subjects that it is recommended to have taken before

Subjects that are recommended to be taken simultaneously

Subjects that continue the syllabus

Other comments


(*)The teaching guide is the document in which the URV publishes the information about all its courses. It is a public document and cannot be modified. Only in exceptional cases can it be revised by the competent agent or duly revised so that it is in line with current legislation.