Course syllabus
(7720) MATEMÁTICAS Y SU DIDÁCTICA I

Academic term 2026/2027

Spanish course syllabus

  1. Identification

    1. About the course

      Academic Term
      2026/2027
      Degree
      GRADO EN EDUCACIÓN PRIMARIA
      PROGRAMA ACADÉMICO DE SIMULTANEIDAD DE DOBLE TITULACIÓN CON INTINERARIO ESPECÍFICO DE GRADO EN EDUCACIÓN INFANTIL Y GRADO EN EDUCACIÓN PRIMARIA (MENCIÓN EN EDUCACIÓN PRIMARIA)
      PROGRAMA ACADÉMICO DE SIMULTANEIDAD DE DOBLE TITULACIÓN CON ITINERARIO ESPECÍFICO DE GRADO EN EDUCACIÓN PRIMARIA (MENCIÓN EN EDUCACIÓN FÍSICA) Y GRADO EN CIENCIAS DE LA ACTIVIDAD FÍSICA Y DEL DEPORTE. MENCIÓN EN EDUCACIÓN FÍSICA.
      Course
      MATEMÁTICAS Y SU DIDÁCTICA I
      Code
      7720
      Year
      SEGUNDO
      TERCERO
      SEGUNDO
      Course type
      OBLIGATORIA
      Number of groups
      6
      ECTS
      12.0
      Estimation of workload
      300.0
      300.0
      300.0
      Timeline
      Anual
      Anual
      Anual
      Languages
      English
      Spanish
      Academic Term 2026/2027
      Degree

      GRADO EN EDUCACIÓN PRIMARIA,

      PROGRAMA ACADÉMICO DE SIMULTANEIDAD DE DOBLE TITULACIÓN CON INTINERARIO ESPECÍFICO DE GRADO EN EDUCACIÓN INFANTIL Y GRADO EN EDUCACIÓN PRIMARIA (MENCIÓN EN EDUCACIÓN PRIMARIA),

      PROGRAMA ACADÉMICO DE SIMULTANEIDAD DE DOBLE TITULACIÓN CON ITINERARIO ESPECÍFICO DE GRADO EN EDUCACIÓN PRIMARIA (MENCIÓN EN EDUCACIÓN FÍSICA) Y GRADO EN CIENCIAS DE LA ACTIVIDAD FÍSICA Y DEL DEPORTE. MENCIÓN EN EDUCACIÓN FÍSICA.

      Course MATEMÁTICAS Y SU DIDÁCTICA I
      Code 7720
      Year SEGUNDO TERCERO SEGUNDO
      Course type OBLIGATORIA
      Number of groups 6
      ECTS 12.0
      Estimation of workload 300.0 300.0 300.0
      Timeline Anual Anual Anual
      Languages English, Spanish
    2. Teaching staff

      • NICOLAS ZARAGOZA, PEDRO Professor: GRUPO BILINGÜE, GRUPO 2, GRUPO 4, GRUPO 5, GRUPO DTIE, GRUPO DTIE Group coordination: GRUPO BILINGÜE Course coordinator

        Category

        PROFESORES TITULARES DE UNIVERSIDAD

        Area

        DIDÁCTICA DE LA MATEMÁTICA

        Department

        DIDÁCTICA DE LAS CIENCIAS MATEMÁTICAS Y SOCIALES

        Email / Personal web page / Online tutoring sessions

        pedronz@um.es Online tutoring sessions: No

        Phone number and office hours

      • CASTEJON MOCHON, JOSE FRANCISCO Professor: GRUPO 4 Group coordination: GRUPO 4

        Category

        PROFESOR PERMANENTE LABORAL

        Area

        DIDÁCTICA DE LA MATEMÁTICA

        Department

        DIDÁCTICA DE LAS CIENCIAS MATEMÁTICAS Y SOCIALES

        Email / Personal web page / Online tutoring sessions

        jfcaste@um.es Online tutoring sessions: No

        Phone number and office hours

      • COLMENA GONZALEZ, SERGIO Professor: GRUPO BILINGÜE Group coordination:

        Category

        CONTRATADO/A PREDOCTORAL (FPU-MECD)

        Area

        DIDÁCTICA DE LA MATEMÁTICA

        Department

        DIDÁCTICA DE LAS CIENCIAS MATEMÁTICAS Y SOCIALES

        Email / Personal web page / Online tutoring sessions

        sergio.colmenag@um.es Online tutoring sessions: No

        Phone number and office hours

      • GARCIA MANRUBIA, MARIA BELEN Professor: GRUPO DTIE Group coordination: GRUPO DTIE

        Category

        PROFESOR PERMANENTE LABORAL

        Area

        DIDÁCTICA DE LA MATEMÁTICA

        Department

        DIDÁCTICA DE LAS CIENCIAS MATEMÁTICAS Y SOCIALES

        Email / Personal web page / Online tutoring sessions

        belen.manrubia@um.es https://www.um.es/web/estudios/grados/educacion-primaria/tfg Online tutoring sessions: Sí

        Phone number and office hours

        Duration:
        C1
        Day:
        Martes
        Hours:
        10:00-11:00
        Place:
        868881763, Facultad de Educación B1.3.042 (DESPACHO PROFESORA M BELÉN GARCÍA MANRUBIA)
        Remarks:
        There are no records
        Duration:
        C1
        Day:
        Lunes
        Hours:
        11:30-12:00
        Place:
        868881763, Facultad de Educación B1.3.042 (DESPACHO PROFESORA M BELÉN GARCÍA MANRUBIA)
        Remarks:
        There are no records
      • MANZANARES CARMONA, ISMAEL Professor: GRUPO 4 Group coordination:

        Category

        PROFESOR SUST. POR REDUCCIÓN ACTIVIDAD DOCENTE PROFESOR TC

        Area

        DIDÁCTICA DE LA MATEMÁTICA

        Department

        DIDÁCTICA DE LAS CIENCIAS MATEMÁTICAS Y SOCIALES

        Email / Personal web page / Online tutoring sessions

        ismael.manzanares@um.es Online tutoring sessions: No

        Phone number and office hours

      • NORTES MARTINEZ ARTERO, MARIA ROSA Professor: GRUPO DTIE Group coordination: GRUPO DTIE

        Category

        PROFESOR CONTRATADO DOCTOR TIPO A (DEI)

        Area

        DIDÁCTICA DE LA MATEMÁTICA

        Department

        DIDÁCTICA DE LAS CIENCIAS MATEMÁTICAS Y SOCIALES

        Email / Personal web page / Online tutoring sessions

        mrosa.nortes@um.es Online tutoring sessions: Sí

        Phone number and office hours

        Duration:
        C1
        Day:
        Lunes
        Hours:
        10:30-12:00
        Place:
        , Facultad de Educación B1.3.037A (DESPACHO PROF. ROSA NORTES MTNEZ ARTERO)
        Remarks:
        Mediante inscripción en el Apúntate
        Duration:
        C1
        Day:
        Viernes
        Hours:
        10:30-12:00
        Place:
        , Facultad de Educación B1.3.037A (DESPACHO PROF. ROSA NORTES MTNEZ ARTERO)
        Remarks:
        There are no records
      • OLIVARES CARRILLO, PILAR Professor: GRUPO BILINGÜE Group coordination:

        Category

        PROFESORES TITULARES DE UNIVERSIDAD

        Area

        DIDÁCTICA DE LA MATEMÁTICA

        Department

        DIDÁCTICA DE LAS CIENCIAS MATEMÁTICAS Y SOCIALES

        Email / Personal web page / Online tutoring sessions

        pilar.olivares@um.es Online tutoring sessions: Sí

        Phone number and office hours

        Duration:
        C1
        Day:
        Lunes
        Hours:
        09:30-11:00
        Place:
        868884542, Facultad de Educación B1.3.035 (DESPACHO PROF. PILAR OLIVARES CARRILLO)
        Remarks:
        There are no records
        Duration:
        C1
        Day:
        Jueves
        Hours:
        11:00-12:30
        Place:
        868884542, Facultad de Educación B1.3.035 (DESPACHO PROF. PILAR OLIVARES CARRILLO)
        Remarks:
        There are no records
      • SANCHEZ COLIN, ANGEL ENRIQUE Professor: GRUPO 2 Group coordination: GRUPO 2

        Category

        PROFESOR AYUDANTE DOCTOR

        Area

        DIDÁCTICA DE LA MATEMÁTICA

        Department

        DIDÁCTICA DE LAS CIENCIAS MATEMÁTICAS Y SOCIALES

        Email / Personal web page / Online tutoring sessions

        angelcolin@um.es Online tutoring sessions: No

        Phone number and office hours

      • SANCHEZ JIMENEZ, ENCARNACION Professor: GRUPO 5 Group coordination:

        Category

        PROFESORES TITULARES DE UNIVERSIDAD

        Area

        DIDÁCTICA DE LA MATEMÁTICA

        Department

        DIDÁCTICA DE LAS CIENCIAS MATEMÁTICAS Y SOCIALES

        Email / Personal web page / Online tutoring sessions

        esanchez@um.es Online tutoring sessions: No

        Phone number and office hours

        Duration:
        C1
        Day:
        Miércoles
        Hours:
        09:30-11:30
        Place:
        868887073, Facultad de Educación B1.3.026 (DESPACHO PROF. ENCARNA SÁNCHEZ JIMÉNEZ)
        Remarks:
        Si por alguna causa de carácter académico se cambia alguna tutoría de día u hora, se comunicará previamente al alumnado a través del AV.
        Duration:
        C1
        Day:
        Lunes
        Hours:
        09:30-11:30
        Place:
        868887073, Facultad de Educación B1.3.026 (DESPACHO PROF. ENCARNA SÁNCHEZ JIMÉNEZ)
        Remarks:
        Esta tutoría se hará en el CEME (Planta baja de la Facultad de Educación). Si por alguna causa de carácter académico se cambia alguna tutoría de día u hora, se comunicará previamente al alumnado a través del AV.
        Duration:
        C1
        Day:
        Jueves
        Hours:
        12:00-14:30
        Place:
        868887073, Facultad de Educación B1.3.026 (DESPACHO PROF. ENCARNA SÁNCHEZ JIMÉNEZ)
        Remarks:
        Si por alguna causa de carácter académico se cambia alguna tutoría de día u hora, se comunicará previamente al alumnado a través del AV.
      • SAURA ZARAGOZA, JOSEFA Professor: GRUPO 5 Group coordination: GRUPO 5

        Category

        ASOCIADO A TIEMPO PARCIAL

        Area

        DIDÁCTICA DE LA MATEMÁTICA

        Department

        DIDÁCTICA DE LAS CIENCIAS MATEMÁTICAS Y SOCIALES

        Email / Personal web page / Online tutoring sessions

        pepasaura@um.es Online tutoring sessions: No

        Phone number and office hours

  2. Presentation

    Mathematics as a language and area of knowledge is intimately related to the development of human thought and as such requires attention in initial teacher training.

    This course presents epistemological foundations for the domain of numeral system, measurement of magnitudes, planar geometry and statistics.

  3. Conditions of access to the course

    1. Incompatibilities

      There are no records

    2. Requirements

      There are no records

    3. Recommendations

      Those typical to access to the Degree in Teacher of Primary Education

  4. Contents

    1. Theoretical contents

      Theme 1: The Mathematics Curriculum in Primary Education. Problem solving.

      • The Mathematics curriculum of Primary Education

      Theme 2: Numeral systems

      We will address the following issues from of point of view mathematical-didactic:

      1. Numeral systems.
      2. Calculations.
      3. Divisibility.

      Theme 3: Measurement of magnitudes

      We will address the following issues from of point of view mathematical-didactic:

      1. Magnitudes.
      2. Measurement.

      Theme 4: Planar geometry: areas and figures

      We will address the following issues from of point of view mathematical-didactic:

      1. Historical considerations.
      2. Basic elements of geometry.
      3. Triangles, quadrilaterals and polygons.
      4. Perimeters and areas.
      5. Circumference and circle.

      Theme 5: Isometries

      We will address the following issues from of point of view mathematical-didactic:

      1. Reference systems.
      2. Movements in the plane.
      3. Composition and decomposition of isometries.

      Theme 6: Statistics: organisation and representation of information

      We will address the following issues from of point of view mathematical-didactic:

      1. Statistics and its applications.
      2. Statistical variables. Graphical representation.
      3. Measures of central tendency and spread of a frequency distribution.

    2. Practical contents

      • Practical activity 1: Laboratory 1. Problem solving strategies: Test-error, induction, back-forward, search for regularities and symmetries. Related to the contents Topic 1, Topic 2, Topic 3, Topic 4, Topic 5 and Topic 6.

        Related to:
        • Theme 1: The Mathematics Curriculum in Primary Education. Problem solving.
        • Theme 2: Numeral systems
        • Theme 3: Measurement of magnitudes
        • Theme 4: Planar geometry: areas and figures
        • Theme 5: Isometries
        • Theme 6: Statistics: organisation and representation of information
      • Practical activity 2: Laboratory 2. Teaching materials for numbering: strips, multibase, abacus, digital scale, calculators. Related to the contents Topic 2

        Related to:
        • Theme 2: Numeral systems
      • Practical activity 3: Laboratory 3. Estimation, direct and indirect measurement. Errors. Related to the contents Topic 3.

        Related to:
        • Theme 3: Measurement of magnitudes
      • Practical activity 4: Laboratory 4. Interpretation and preparation of sketches and plans. Related to the contents Topic 3

        Related to:
        • Theme 3: Measurement of magnitudes
      • Practical activity 5: Laboratory 5. Resources and teaching materials for geometry: Geoplanes, tangram, poliminos, drawing instruments. Related with the contents Topic 4 and Topic 5

        Related to:
        • Theme 4: Planar geometry: areas and figures
        • Theme 5: Isometries
      • Practical activity 6: Laboratory 6. Computer resources: Geogebra, jClic, logo. Related to the contents Topic 2, Topic 3, Topic 4 and Topic 5

        Related to:
        • Theme 2: Numeral systems
        • Theme 3: Measurement of magnitudes
        • Theme 4: Planar geometry: areas and figures
        • Theme 5: Isometries
      • Practical activity 7: Laboratory 7. Resources and teaching materials for statistics and daily life: media, D`Hondt¿s formula, legislation and case analysis, preparation of questionnaires. Related to the contents Topic 6

        Related to:
        • Theme 6: Statistics: organisation and representation of information

  5. Training activities

    Training Activity Methodology Hours In-person
    AF1: Exposición teórica 84.0 100.0
    AF2: Tutoría académica 6.0 100.0
    AF3: Actividades prácticas en aula convencional 30.0 100.0
    AF5: Trabajo autónomo del alumno 180.0 0.0
    Total 300.00

  6. Course schedule

    https://www.um.es/web/estudios/grados/educacion-primaria/2026-27#horarios

  7. Assessment systems

    Identifier Name of the assessment tool Assessment criteria Weighting
    SE1 Pruebas escritas (exámenes): pruebas objetivas, de desarrollo, de respuesta corta, de ejecución de tareas, de escala de actitudes realizadas por los alumnos para mostrar los conocimientos teóricos y prácticos adquiridos. 75.0
    SE3 Informes escritos, trabajos y proyectos: trabajos escritos, portafolios con independencia de que se realicen individual o grupalmente 20.0
    SE6 Evaluación continua basada en evidencias de participación y progreso 5.0

  8. Exam dates

    https://www.um.es/web/estudios/grados/educacion-primaria/2026-27#examenes

  9. Learning outcomes

    • RA01 (): Ser capaz de expresarse correctamente en español en el ámbito disciplinar de la Educación Primaria.
    • RA03 (): Ser capaz de gestionar la información y el conocimiento en el ámbito disciplinar de la Educación Primaria, incluyendo saber utilizar como usuario las herramientas básicas en TIC.
    • RA06 (): Capacidad para trabajar en equipo y para relacionarse con otras personas del mismo o distinto ámbito profesional
    • RA26 (): Comprender los procesos de aprendizaje relativos al periodo 6-12 en el contexto familiar, social y escolar.
    • RA33 (): Conocer los fundamentos de la Educación primaria.
    • RA55 (): Desarrollar y evaluar contenidos del currículo mediante recursos didácticos apropiados y promover la adquisición de competencias básicas en los estudiantes.
    • RA62 (): Adquirir competencias matemáticas básicas (numéricas, cálculo, geométricas, representaciones espaciales, estimación y medida, organización e interpretación de la información, etc.).
    • RA63 (): Conocer el currículo escolar de matemáticas.
    • RA64 (): Analizar, razonar y comunicar propuestas matemáticas.
    • RA65 (): Plantear y resolver problemas vinculados con la vida cotidiana.
    • RA66 (): Valorar la relación entre matemáticas y ciencias como uno de los pilares del pensamiento científico.
    • RA89 (): Participar en las propuestas de mejora en los distintos ámbitos de actuación que se puedan establecer en un centro.

  10. Bibliography

    Basic bibliography

    There are no records

  11. Remarks

    SPECIAL EDUCATIONAL NEEDS

    Those students with disabilities or special educational needs may contact the Service of Attention to Diversity and Volunteering (ADYV - https://www.um.es/adyv) to receive guidance on better use of their training process and, where appropriate, the adoption of measures of equalization and improvement for inclusion, under the Rectoral Resolution R-358/2016. The treatment of information about this student body, in compliance with the LOPD, is strictly confidential.

    ASSESSMENT

    In the assessment process, Article 135.1(v) of the Statutes of the University of Murcia, Article 8.6 of the Student Assessment Regulations (REVA), and Instruction SG 18/2026 issued by the Secretary General of the University of Murcia, which interprets these provisions, shall apply. The instruction is available at the following link: https://sede.um.es/sede/documento/normativa/instruccion-del-secretario-general-sg-18-2026-sobre-la-interpretacion-y-aplicacion-del-art-135-1-v-estatutos-umu/24199.pdf

    Students are also reminded that Article 22.1 of the Student Assessment Regulations (REVA) provides that "any student who engages in fraudulent conduct, including the improper misrepresentation of identity or authorship, or who is in possession of means or instruments that facilitate such conduct, shall receive a grade of zero in the assessment process and may, where appropriate, be subject to disciplinary sanctions following the initiation of disciplinary proceedings."

    REMARKS FROM THE TEACHING STAFF

    This subject is directly linked to the Sustainable Development Goals 4 "Quality Education"

    Observations for assessment:

    This subject can be passed in May-June (2nd call), June-July (3rd call) or in the 1st call (only for students of 2nd or subsequent enrolments, December-January).

    2nd call (May-June).

    1. In the last 10 school days of the first term there will be a partial exam of the content of the first term (EX1). Students who obtain a grade higher or equal to 4 out of 10 will be able to “eliminate subject matter” in the final exam in May-June (EXF2).
    2. May-June final exam (EXF2). It will have two modalities: A first model, “complete”, with contents of the whole course (first and second four-month period), and a second model “partial” (EX2) with contents only of the second mid-term. Only students who have obtained a mark equal to or higher than 4 out of 10 in the partial exam of the first term (EX1) may opt to take the second type of exam, having to obtain a mark equal to or higher than 4 out of 10 in order to obtain the average mark for EXF2. If both EX1 and EX2 are at least 4 out of 10, then EXF2 is the average of EX1 and EX2.

    The final grade of the course (NF) in this exam session will be obtained as follows:

    PR = Average of the Practical marks out of 10.

    EXF2 = Final Examination mark out of 10 (which can be a single “complete” exam or the average of EX1 with EX2 if both are at least 4 out of 10).

    SE6 = Observation of the student’s work out of 10.

    NF = (PR·0,2) + (SE6·0,05) + (EXF2 ·0,75)

    In case the grade EXF2 is lower than 5, the final grade of the subject will be the grade obtained in this exam: NF = EXF2

    1st call (December-January) or 3rd call (June-July)

    There will be a final exam of the whole subject (EXF1, EXF3) which will have a weighting of 100 %.

    EXF1= Grade of the final exam out of 10 in the 1st call.

    EXF3= Grade of the final exam out of 10 at the 3rd call.

    Other considerations:

    1. In order to pass the course, the student must obtain a weighted average mark equal to or higher than 5 out of 10 in EXF1, EXF2 or EXF3.
    2. The teaching staff will select and determine the practical activities to be carried out during the academic year from those that appear in the teaching guide. Exceptionally, a practical activity related to the contents that does not appear in the guide may be carried out.
    3. The dates of the final exams of all the sessions will be those set by the corresponding Vice-Deanship.
    4. The subject will not be passed if at least 25 % of the maximum grade corresponding to units 1, 2 and 3 and another 25 % of the maximum grade corresponding to units 4, 5 and 6 are not obtained in all the exams.
    5. The 2nd semester partial exam (EX2) will take place at the same time as the final comprehensive exam (EXF2), this being considered one of the two mutually exclusive modalities.
    6. All final exams may have a part in which a minimum number of marks must be obtained in order to pass the exam.
    7. The continuous assessment of the course is only valid for the 2nd call (May-June).
    8. Serious spelling mistakes are considered to be, among others, those related to the technical terminology of the subject.
    9. The practicals are not compulsory, but those who do not do them will have a grade of 0 in practicals (PR) in the second call, with no influence in the rest of the calls.

    The spelling rules approved by the Faculty Board shall apply: https://www.um.es/documents/d/educacion/criterios-ortograficos-facultad-de-educacion