Master in Fortgeschrittener Mathematik und Lehrerausbildung (Fachrichtung Mathematik)

This joint plan has been designed by the Universidad de Murcia to enable students to obtain both degrees, achieving training in i) initiation of research in order to enter a PhD program later, ii) teacher training and iii) professional development.

Obtaining both Master's degrees in Advanced Mathematics (MMA) and the Master's Degree in Teacher Training, Mathematics specialty (MFP) is achieved by enrolling at least the 52 credits of the MFP indicated in Annex I of the regulations and 36 credits of the MMA, which will correspond to all the compulsory credits of one of the five specialties (that is, the 18 credits of the TFM and the 18 credits of the subjects of the specialty), or to 18 credits of the TFM and 18 credits of subjects, so that at least the subjects of a specialty used in the first table of recognitions in Annex II of the regulations are passed. The rest of the subjects of each master will be automatically recognized according to the recognition tables that appear in Annex II. Students who choose the second alternative in MMA, that is, 18 credits from the TFM and 18 credits from subjects of different specialties, must enroll at least 18 credits that do not include Algebraic Geometry, Applied Mathematical Analysis (II), Geometric Analysis , Location, distribution and transport and Bayesian Statistics, as these are the subjects recognized by the MFP (see the second table in Annex II, section "No specialty").

Although this joint itinerary is designed to be completed in one year, students are not required to enroll out of 36 MMA credits in a single course. However, in order to ensure the obtaining of the MFP at the end of the course, they must enroll at least the subjects necessary to recognize the 8 credits of the MFP not completed, as detailed in the previous paragraph.

Likewise, any student who has obtained the MFP in a previous course can potentially take advantage of the advantages of the combined degree, although for this they will have to request the corresponding recognition of credits from the Academic Commission of the MMA and that it grant it.

Students who apply for a scholarship to the Ministry of Education, Culture and Sports to pay for their master's studies should bear in mind that it is only possible to apply for their maximum amount if they are enrolled in at least 60 credits of a master's degree. Therefore, even if they study simultaneously, they will have to enroll in the full MFP.

Master's file

Justification

Description of the Master's Degree in Advanced Mathematics

The attractiveness of the master's degree could be justified by the sophistication of the financial markets, the growing importance of the credit markets, the constant processes of innovation in financial products, factors that, among others, highlight the importance of solid training in financial matters.

Description of the University Master's Degree in Teacher Training

The direct reference to the proposed title is the initial training course that the Universidad de Murcia has been teaching for the purposes of issuing the Certificate of Pedagogical Aptitude (hereinafter CAP) for more than 35 years. The current legal framework had entrusted to the Institute of Education Sciences (hereinafter, ICE) integrated in each university, the pedagogical and didactic training of university students (architects, engineers, graduates, technical architects, technical engineers and graduates in possession of the degree ) who aspired to dedicate themselves to secondary education and established the completion of the two cycles of the CAP as an essential requirement to be eligible for admission to the teaching bodies of the mentioned level, with the exception of degrees that included equivalent training, as well as other cases excepted by law.

It should not be forgotten, however, that another referent immediately prior to the one indicated is the Initial Training Course for Secondary Teachers (FIPES) taught by the School of Teaching of Middle Schools (Delegation of Murcia), and whose study plan was structured in three blocks: educational assumptions, special didactics and practices. The oldest files (according to the files of the ICE of the Universidad de Murcia ) date from the academic year 1963/1964. However, Decree 1678/1969, of July 24, on the creation of the Institutes of Educational Sciences (BOE n. 195 of 8/15/1969), in accordance with the provisions of the General Education Law, created within the state universities the ICEs, entrusting to them among other missions those that the Middle School Teacher Training School had been carrying out, which would later be extinguished.

Competencies

University Master's Degree in Advanced Mathematics

Basic skills

• Possess and understand knowledge that provides a basis or opportunity to be original in the development and / or application of ideas, often in a research context.
• That students know how to apply the knowledge acquired and their ability to solve problems in new or unfamiliar environments within broader (or multidisciplinary) contexts related to their area of ​​study.
• That students are able to integrate knowledge and face the complexity of making judgments based on information that, being incomplete or limited, includes reflections on social and ethical responsibilities linked to the application of their knowledge and judgments.
• That students know how to communicate their conclusions and the knowledge and ultimate reasons that support them to specialized and non-specialized audiences in a clear and unambiguous way.
• That students have the learning skills that allow them to continue studying in a way that will be largely self-directed or autonomous.

General Competences

• Being able to apply mathematical techniques in various professional activities.
• Being able to apply mathematical techniques in the development of R + D + i projects.
• Being able to apply mathematical research techniques in various fields, both fundamental and applied mathematics.
• Being able to apply the knowledge acquired to solve problems in new or little-known environments both in mathematics and in more general or multidisciplinary contexts that are related to their specialty. (Meces / BOE (a)).
• Being able to integrate knowledge and face the complexity of formulating judgments and conjectures from incomplete or limited information in the application of mathematical techniques and knowledge. (Meces / BOE (b)).
• Know how to communicate conclusions and the latest knowledge and reasons that support them to specialized and non-specialized audiences in a clear and unambiguous way. (Meces / BOE (c))
• Possess learning skills that allow them to continue future studies in a self-directed or autonomous way. (Meces / BOE (d))
• Being able to work in groups and in multidisciplinary teams.

Specific Competences

• Possess theoretical and practical knowledge of a mathematics knowledge area to be able to access doctoral studies and complete a doctoral thesis.
• Be able to critically read specialized or research papers and incorporate the results into your work.
• Being able to abstract and analyze information on various procedures, and to carry out logical reasoning and identify errors.
• Being able to transfer mathematical results to other disciplines and activities.
• Being able to mathematically model real or theoretical problems.
• Know resolution techniques and be able to devise resolution procedures for the mathematical models under study.
• Manage computer tools that help solve the problems under study.

University Master's Degree in Teacher Training

In RD 1393/2007, of October 29, which establishes the organization of official university education, (BOE of October 30, 2007), indicates in Annex I section 3.3., The basic competences of master's studies.

ORDER ECI / 3858/2007, of December 27, which establishes the requirements for the verification of official university degrees that enable the professions of Professor of Compulsory Secondary Education and Baccalaureate, Vocational Training and Teaching of Languages. (BOE December 29, 2007), includes in its Section 3 the skills that students must acquire.

Regarding the specific competences of the Generic Module in relation to the respective Subjects, the following are proposed:

Subject Learning and development of personality.

• Know the characteristics of the students, their social contexts and motivations.
• Understand the development of the personality of these students and the possible dysfunctions that affect learning.
• Develop proposals based on the acquisition of knowledge, skills and intellectual and emotional skills.
• Identify and plan the resolution of educational situations that affect students with different capacities and learning rhythms.

Subject Processes and educational contexts

• Know the processes of interaction and communication in the classroom and in the center, address and solve possible problems.
• Know the historical evolution of the educational system in our country.
• Know and apply resources and information strategies, tutoring and academic and professional orientation.
• Promote actions of emotional education, values and citizen training.
• Participate in the definition of the educational project and in the general activities of the center according to criteria of quality improvement, attention to diversity, prevention of learning problems and coexistence.

Society, family and education

• Relate education to the environment and understand the educational role of the family and the community, both in the acquisition of skills and learning and in education in respect of rights and freedoms, in equal rights and opportunities between men and women and in the equal treatment and non-discrimination of people with disabilities.
• Know the historical evolution of the family, its different types and the incidence of the family context in education.
• Acquire social skills in relationship and family orientation.

Competences of the specific Module in the different subjects:

Subject Complements for disciplinary training

• Know the formative and cultural value of the subjects corresponding to the Specialization.
• Know the contents that are studied in the respective teachings.
• Know the history and recent developments of the subjects and their perspectives in order to transmit a dynamic vision of them.
• Know contexts and situations in which the various curricular contents are used or applied.

For the Vocational Specialty in addition:

• Know the evolution of the world of work, the interaction between society and work and quality of life, as well as the need to acquire adequate training to adapt to the changes and transformations that the professions may require.

For the specialty of Educational Orientation also:

• Know the processes and resources for the prevention of learning and coexistence problems, the evaluation and academic and professional orientation processes.

Subject Learning and teaching of the corresponding subjects

• Know the theoretical and practical developments of teaching and learning of the corresponding subjects.
• Transform curricula into work and activity programs.
• Acquire selection criteria and development of educational materials.
• Promote a climate that facilitates learning and values the contributions of students.
• Integrate training in audiovisual and multimedia communication in the teaching-learning process
• Know strategies and evaluation techniques and understand the evaluation as an instrument of regulation and encouragement to the effort.

Subject Teaching innovation and initiation to educational research

• Know and apply innovative teaching proposals in the field of specialization.
• Critically analyze the performance of teaching, good practices and guidance using quality indicators.
• Identify the problems related to the teaching and learning of the subjects of the specialization and propose alternatives and solutions.
• Know and apply basic educational research and evaluation methodologies and techniques and be able to design and develop research, innovation and evaluation projects.

Competencies of the Practicum Module and Master's Thesis

• Gain experiences in planning, teaching and evaluating the subjects corresponding to the specialization.
• Accredit a good command of oral and written expression in teaching practice.
• Master the social skills and abilities necessary to foster a climate that facilitates learning and coexistence.
• Participate in proposals for improvement in the different areas of action based on reflection based on practice.
• Know the reality of the educational center and participate in the corresponding Departments.

For the Vocational Specialty in addition:

• Know the typology corresponding to the productive sectors.
• Understand the most common organizational systems for companies.

For the specialty of Educational Orientation also:

• Exercise in the psychopedagogical evaluation.
• Practice advising other education professionals, students and families.

Graduation profile

University Master's Degree in Advanced Mathematics

Qualified mathematician for incorporation into a doctoral program capable of posing and solving research problems in mathematics and statistics.

Graduates will be trained to carry out research, development and innovation activities and will be able to tackle the resolution of complex problems that require advanced knowledge of mathematics and statistics.

University Master's Degree in Teacher Training

People trained to develop the profession of Teacher of Compulsory Secondary Education and Baccalaureate, Vocational Training and Language Teaching in the specialty studied.

A teaching institution of higher education that has infrastructure for teaching and research of international excellence. An innovative, dynamic, responsible university committed to its environment, which does not forget its historical roots.

Mission, vision and values of the Universidad de Murcia

The Mission of the university outlines its purpose or reason for being, and its Vision reflects what it wants to become in the future, the perspective of the University in the long term.

The Universidad de Murcia is a public institution of Higher Education with an international scope of action. Its purpose is to contribute to the development of society, acting as a dynamic agent in cooperation with the other social agents. Its main activities focus on the development of Research, Training, Knowledge Transfer, and Cultural Dissemination, applying innovation and continuous improvement processes to all of them, with the purpose of achieving a high level of quality of results, visible through a clear transparency policy.

Its main values, included in the Code of Ethics of the Universidad de Murcia , are Commitment, Dialogue, Respect and Responsibility:

• The Commitment demands to assume the objectives of the University and adopt to achieve these goals a good administration and management, enhancing university social responsibility, overcoming personal and corporate selfishness to engage with others in university tasks and in solving common problems.
• The Dialogue implies the willingness to coordinate reasonably and reasonably with others to cooperate effectively taking into account the positioning, interests or situation of each one, with the purpose of peacefully solving those seeking the right balance and consensus.
• Respect implies treating all people with impartiality, deference and consideration, avoiding discrimination for reasons beyond their merits and avoiding prejudices, according to the consideration of the equal dignity of every human being as a supreme value.
• Responsibility consists in honestly assuming one's own duties and obligations, and being willing to give an account of this to whomever corresponds, acting in accordance with the ethical principles personally assumed, being key elements goodwill, coherence and exemplary practice.

These values are in turn identified with the defense and promotion of Human Rights, universal accessibility, equality between men and women, the culture of peace and democratic values, participation, interdisciplinarity, pluralism, defense of the environment. and sustainability.

10 reasons to choose the UMU

1. Why UMU?

Centennial University strategically positioned in the present and prepared for the future

The Universidad de Murcia (UMU) is an international institution with more than one hundred years old, whose origins date back to the thirteenth century. It has more than 30,000 students (2,000 of them international), 3,000 researchers and professors and more than 1,200 administration employees.

2. Multidisciplinary offer of studies

60 degrees, 72 masters and 36 doctorates

The UMU is a public and comprehensive university that offers 60 degree programs - 5 double degrees -, 72 master's degrees and 36 doctoral degrees in the fields of Arts and Humanities, Engineering, Health Sciences, Sciences, Social Sciences and Law.

3. Bet on quality education

Quality recognition in university centers and services

The Universidad de Murcia focuses on academic excellence and plays a very important role in research (350 research groups, 4 institutes and research centers), teaching and innovation in all areas of knowledge. In addition, it works closely with national and international companies.

4. Leading the way in digital technology, cybersecurity and artificial intelligence

Leading European Commission projects for research and innovation in cybersecurity

It offers a wide range of services, such as "Lola Chatbot", with artificial intelligence to help students choose their studies and answer questions in the admission process.

5. Connection with the labor market

More than 75% of students get an occupation after finishing the degree

UMU students have the opportunity to pursue intellectual development as well as to acquire professional skills.

6. University open to the world, with more than 2,000 students making international mobility plans

7 bilingual Spanish-English programs and students of more than 50 nationalities

Our institution offers 4 degree courses in English (Law, Business Management and Administration, Primary Education, and English Studies), and 3 postgraduate programs (Biology and Technology of Mammalian Reproduction, New Technologies in Computer Science, and Physics).

7. Satisfaction of international students

Located among the best rated universities in Europe by students

The International Welcome Point at the UMU (International Welcome Point - IWP) provides information on issues such as the admission procedure, obtaining accommodation and legalization.

8. Commitment to society

Attention to diversity and equal opportunities between women and men

UMU is the second university in Spain that integrates a greater number of students with disabilities. Through its Service of Attention to Diversity and Volunteering, it participates in the "Inclusive Campus Program: Campus without limits" funded by the Government of Spain, ONCE and the REPSOL Foundation.

9. Commitment to the United Nations Sustainable Development Goals

Project best valued in terms of sustainable development

ODSessions is the project that the Universidad de Murcia is developing for the promotion and awareness of the 17 sustainable development goals of the United Nations. Until April 2021, the UMU will dedicate one month to each of these objectives with dissemination, recreational, training and solidarity activities.

10. Murcia, a city for students

Quality of life in a unique environment in the Mediterranean

Located in the southeast of Spain, the city of Murcia benefits from an excellent location, low cost of living and a great variety in the cultural and tourist offer. In its squares and terraces you can discover a quiet and friendly city for students. With about half a million inhabitants, it is the seventh city in Spain.

Ethical code

In order to transform the University into the most fair and honest version possible, the Code of Ethics of the Universidad de Murcia was approved in 2016, prepared after a process in which all the groups that are part of it collaborated.

The four fundamental values on which it is based, Commitment, Dialogue, Respect and Responsibility, should guide all the actions and relationships of the university community. Therefore, it is our priority to disseminate the Code of Ethics at all levels of the Universidad de Murcia , also seeking their full understanding and implementation.

Its effective compliance will be supervised by the Code of Ethics Monitoring Commission (CSCE), established on September 4, 2018. This is made up of people from different areas of the university community and experts:

• Antonio José Carrasco Hernández. Campus Infrastructure Coordinator
• Carmen Sánchez Trigueros. Director of the Unit for Equality between Women and Men
• Emilio Martínez Navarro. Responsible for the elaboration of the Code of Ethics
• Francisco Esquembre Martínez. Vice Chancellor for Research and Transfer
• José Antonio Cascales Saseta. Manager
• José Ramón Salcedo Hernández. Director of the Bioright Law Master: Law, Ethics and Science
• Juan José Vera Martínez. University Advocate
• Longinos Marín Rives. Vice Chancellor for Social Responsibility and Transparency
• Bald Pigeon. Vice Chancellor of Students and Services to the University Community
• José Miguel Rojo Martínez. Chairman of the Board of Directors of the Student Council of the Universidad de Murcia

Since its creation, the CSCE has organized both virtual and physical distribution of the Code of Ethics. Currently, all the buildings of the Universidad de Murcia , not only the faculties, but also those destined for the staff, have one or two dispensers with copies of the Code of Ethics, which are being replaced.

In addition, all the new workers of the Universidad de Murcia now receive the Code of Ethics in the Human Resources Area.

Other actions related to the dissemination of the Code of Ethics have been the giving of lectures on it to new students of some Faculties that required it, by Professor Emilio Martínez Navarro, or the appointment of classrooms as the values of the Code of Ethics, such as the Respect Room of the Faculty of Sports Sciences.