1. General information
Course:
DIDACTICS OF GEOMETRY AND MEASUREMENT
Code:
46315
Type:
CORE COURSE
ECTS credits:
9
Degree:
392 - BACHELOR'S DEGREE IN PRIMARY EDUCATION (AB)
Academic year:
2023-24
Center:
101 - FACULTY OF EDUCATION IN ALBACETE
Group(s):
17
18
19
15
Year:
2
Duration:
AN
Main language:
Spanish
Second language:
English
Use of additional languages:
English Friendly:
N
Web site:
Bilingual:
Y
Lecturer:
MANUEL GARCIA PIQUERAS
- Group(s):
17
Building/Office
Department
Phone number
Email
Office hours
Facultad de Educación - Departamento de Matemáticas
MATEMÁTICAS
926053386
Manuel.GPiqueras@uclm.es
See the updated office hours in Moodle and in the web https://www.uclm.es/Albacete/EducacionAB
Lecturer:
SILVIA MARTINEZ SANAHUJA
- Group(s):
18
Building/Office
Department
Phone number
Email
Office hours
Facultad de Educación - Decanato
MATEMÁTICAS
926053635
silvia.msanahuja@uclm.es
See the updated office hours in Moodle and in the web https://www.uclm.es/Albacete/EducacionAB
Lecturer:
LLANOS MARIA MORENO MOLINA
- Group(s):
19
Building/Office
Department
Phone number
Email
Office hours
MATEMÁTICAS
LlanosM.Moreno@uclm.es
Lecturer:
RAFAEL PÉREZ LASERNA
- Group(s):
19
15
Building/Office
Department
Phone number
Email
Office hours
Facultad de Educación - Departamento de Matemáticas
MATEMÁTICAS
Rafael.PerezLaserna@uclm.es
See the updated office hours in Moodle and in the web https://www.uclm.es/Albacete/EducacionAB
Lecturer:
MARIA ANTONIA SOTOS SERRANO
- Group(s):
17
Building/Office
Department
Phone number
Email
Office hours
Facultad de Educación - Dpto. Matemáticas
MATEMÁTICAS
926053422
maria.sotos@uclm.es
See the updated office hours in Moodle and in the web https://www.uclm.es/Albacete/EducacionAB
2. Pre-Requisites
Students must master the concepts, skills, algorithms and the basic strategies of the mathematics of primary and secondary education.
3. Justification in the curriculum, relation to other subjects and to the profession
This course contributes to the initial formation of the mathematical educator integrated in the training of the teacher of primary education. In this context, a profile of the teacher who is able to respond in multiple subjects, to what, how and when to teach and evaluate is conceived. Therefore, the future teacher of primary education must be prepared to evaluate and choose among various educational options and should acquire skills in the field of curriculum design.
The subject is located within the module 1,2,2 "Teaching and Learning of Mathematics", 1.2 "Educational discipline", and the 1 "General Training".
4. Degree competences achieved in this course
| Course competences | |
|---|---|
| Code | Description |
| 1.2.2.II.01 | Acquire basic mathematical competences (numeric, calculation, geometric, spatial representation, estimation and measurement, data organization and interpretation, etc.). |
| 1.2.2.II.02 | Know the Mathematics curriculum in Primary schools. |
| 1.2.2.II.03 | Analyse, figure out and communicate mathematical proposals. |
| 1.2.2.II.04 | Pose and solve problems related to daily life. |
| 1.2.2.II.05 | Value the relationship between mathematics and science as one of the foundations of scientific reasoning. |
| 1.2.2.II.06 | Develop and assess contents from the curriculum by using appropriate teaching resources and promote the corresponding competences in the students. |
| CB02 | Apply their knowledge to their job or vocation in a professional manner and show that they have the competences to construct and justify arguments and solve problems within their subject area. |
| CG10 | Reflect on classroom practice to allow innovation and improvement of the teaching practice. Acquire habits and skills for autonomous and cooperative learning and promote it among pupils. |
| CG11 | Know and apply information and communication technology in the classroom. Select audiovisual information which contributes to learning, civic training and cultural richness. |
| CT03 | Correct oral and written communication. |
| CT04 | Moral obligation and professional ethics. |
5. Objectives or Learning Outcomes
| Course learning outcomes | |
|---|---|
| Description | |
| Know how to use the basic elements of the history of mathematics to promote learning on specific occasions. | |
| Know how to use teaching materials and other resources to encourage learning. | |
| Understand research about Primary school pupils' difficulties, misconceptions, concept images, etc. and be able to reflect on how these results may have influence on teaching. | |
| Acquire evaluation skills both about mathematical knowledge and Primary school pupils' learning processes. | |
| Have knowledge of the new learning theories and the mathematical reasoning models and be able to design and assess activities according to those models. | |
| Acquire mathematical knowledge broad enough to allow students to work confidently as teachers. | |
| Have knowledge of the curricular aspects related both to mathematics and to the implementation of teaching sequences in the (real or simulated) Primary classroom. | |
| Cope with diversity in the classroom. | |
| Show the ability to use software in school mathematics that promotes learning. | |
| Additional outcomes | |
| Not established. |
6. Units / Contents
-
Unit 1: The curriculum of the geometry and measurement in the elementary school
-
Unit 2: Geometry and spatial thinking
-
Unit 3: Basics of geometry in the space
-
Unit 4: Geometry of transformations in the plane
-
Unit 5:
-
Unit 6:
7. Activities, Units/Modules and Methodology
| Training Activity | Methodology | Related Competences (only degrees before RD 822/2021) | ECTS | Hours | As | Com | Description | |
| Study and Exam Preparation [OFF-SITE] | Self-study | 1.2.2.II.01 1.2.2.II.02 1.2.2.II.03 1.2.2.II.04 1.2.2.II.05 1.2.2.II.06 | 2 | 50 | N | N | Student autonomous study to prepare different evaluation tools. | |
| Writing of reports or projects [OFF-SITE] | Self-study | 1.2.2.II.01 1.2.2.II.02 1.2.2.II.04 1.2.2.II.06 CG10 CG11 | 2.4 | 60 | N | N | Student autonomous development of the proposed activities in class. | |
| Class Attendance (theory) [ON-SITE] | Lectures | 1.2.2.II.01 1.2.2.II.02 1.2.2.II.03 1.2.2.II.04 1.2.2.II.05 1.2.2.II.06 CB02 CG10 CG11 CT03 CT04 | 1.56 | 39 | N | N | Theoretical and interactive classes using different methodologies. | |
| Class Attendance (practical) [ON-SITE] | Problem solving and exercises | 1.2.2.II.04 1.2.2.II.05 CB02 CG10 CG11 CT03 CT04 | 1.4 | 35 | Y | N | Practical and interactive classes using different methodologies. | |
| Writing of reports or projects [OFF-SITE] | Cooperative / Collaborative Learning | 1.2.2.II.01 1.2.2.II.02 1.2.2.II.04 CG10 CG11 CT03 CT04 | 1 | 25 | Y | N | Preparation of a research or didactic proposal in group. | |
| Workshops or seminars [ON-SITE] | Cooperative / Collaborative Learning | 1.2.2.II.03 1.2.2.II.04 1.2.2.II.05 1.2.2.II.06 | 0.24 | 6 | Y | N | Development of different activities in class in group. | |
| Project or Topic Presentations [ON-SITE] | Cooperative / Collaborative Learning | 1.2.2.II.02 1.2.2.II.03 CB02 CT03 CT04 | 0.24 | 6 | Y | Y | Oral presentation of a research or didactic proposal in group. | |
| Progress test [ON-SITE] | Assessment tests | 1.2.2.II.02 1.2.2.II.04 CG10 CG11 CT03 CT04 | 0.08 | 2 | Y | N | Progress or midterm test to remove content. | |
| Final test [ON-SITE] | Assessment tests | 1.2.2.II.02 1.2.2.II.04 CG10 CG11 CT03 CT04 | 0.08 | 2 | Y | Y | Ending test on the contents of the subject, including both mathematical and teaching contents. | |
| Total: | 9 | 225 | ||||||
| Total credits of in-class work: 3.6 | Total class time hours: 90 | |||||||
| Total credits of out of class work: 5.4 | Total hours of out of class work: 135 | |||||||
As: Assessable training activity Com: Training activity of compulsory overcoming (It will be essential to overcome both continuous and non-continuous assessment).
8. Evaluation criteria and Grading System
| Evaluation System | Continuous assessment | Non-continuous evaluation * | Description |
| Assessment of active participation | 10.00% | 10.00% | Realization of several activities and work in class. Participation in classes and seminars. |
| Final test | 70.00% | 70.00% | There are two options to overcome the written tests for evaluation: (1) Passing the 2 tests of progress or partials that will be along the course. (2) Performing the written test in the official dates, whether ordinary or extraordinary call. I.e., those students who do not or will not pass the progress tests, shall submit to the final test in the official dates. |
| Projects | 20.00% | 20.00% | On this criterion will be assessed: -the development of activities, seminars, projects, and/or proposed workshops. -an oral presentation of a research or didactic proposal in group work. This approach is COMPULSORY to overcome the course. This criterion may be average with the rest from a mark of 4. |
| Total: | 100.00% | 100.00% |
According to art. 4 of the UCLM Student Evaluation Regulations, it must be provided to students who cannot regularly attend face-to-face training activities the passing of the subject, having the right (art. 12.2) to be globally graded, in 2 annual calls per subject , an ordinary and an extraordinary one (evaluating 100% of the competences).
Evaluation criteria for the final exam:
-
Continuous assessment:The final mark will be calculated by using the weighted arithmetic mean of the different evaluation instruments:
a) Progress tests or Final test (70%). Students who do not pass the progress tests can be presented to the final test in the regular call in the official date set by the Center.
b) Realization of projects, activities, seminars, workshops and oral exposition (20%).
c) Participation on seminars and workshops (10%).
It is essential to obtain a minimum of 40% (4 out of 10) in the compulsory evaluable training activities, that is, progress test (10%) and oral exposition (10%), to make the average between training activities applicable. To pass the subject the student must obtain a minimum mark of 5 out of 10. This compulsory evaluation activities can be RECOVERABLE in the extraordinary call, with the realization of similar tests.
*For every mistake of those included in the List of mistakes to avoid (see Moodle), the student will miss 0.2 marks in the corresponding activity/test/presentation/exam up to a maximum of 1.6 marks (8 mistakes). If the mistake is repeated, the repetition(s) will be also penalized.
" If a fraudulent practice is detected in the evaluation test carried out by a student, the exam will result into failure, with a final grade of zero (0) in the corresponding subject. The detection by the teacher that an assignment, essay or similar test has not been prepared by the student will result in a numerical grade of zero (0) both in the tests and in the subject in which it has been detected, regardless of the rest of the grades obtained by the student (see Article 8 of the UCLM Student Assessment Regulations). -
Non-continuous evaluation:The non.continuous assessment, similar as continuous assessment, the final mark will be calculated by using the weighted arithmetic mean of the different evaluation instruments:
a) Final test (70%), in the official date set by the Center, in the regular and /or extraordinary call.
b) Realization of projects, activities, seminars, workshops and oral exposition (20%).
c) Follow-up of the subject (10%): activities and work proposed in the different meetings and interviews, for the proper follow-up of the subject.
It is essential to obtain a minimum of 40% (4 out of 10) in the compulsory evaluable training activities, that is, progress test (10%) and oral exposition (10%), to make the average between training activities applicable. To pass the subject the student must obtain a minimum mark of 5 out of 10. This compulsory evaluation activities can be RECOVERABLE in the extraordinary call, with the realization of similar tests.
* Either continuous and non-continuous assesement, in the different evaluation system, for every mistake of those included in the List of mistakes to avoid (see Moodle), the student will miss 0.2 points in the corresponding activity/test/presentation/exam up to a maximum of 1.6 points (8 mistakes). If the mistake is repeated, the repetition(s) will be also penalized.
* If a fraudulent practice is detected in the evaluation test carried out by a student, the exam will result into failure, with a final grade of zero (0) in the corresponding subject. The detection by the teacher that an assignment, essay or similar test has not been prepared by the student will result in a numerical grade of zero (0) both in the tests and in the subject in which it has been detected, regardless of the rest of the grades obtained by the student (see Article 8 of the UCLM Student Assessment Regulations).
Specifications for the resit/retake exam:
The retake exam will apply the same criteria as in the final exam.
Specifications for the second resit / retake exam:
The special retake exam will apply the same criteria as in the final exam.
9. Assignments, course calendar and important dates
| Not related to the syllabus/contents | |
|---|---|
| Hours | hours |
| Project or Topic Presentations [PRESENCIAL][Cooperative / Collaborative Learning] | 6 |
| Progress test [PRESENCIAL][Assessment tests] | 2 |
| Final test [PRESENCIAL][Assessment tests] | 2 |
| Unit 1 (de 6): The curriculum of the geometry and measurement in the elementary school | |
|---|---|
| Activities | Hours |
| Study and Exam Preparation [AUTÓNOMA][Self-study] | 2 |
| Class Attendance (theory) [PRESENCIAL][Lectures] | 3 |
| Class Attendance (practical) [PRESENCIAL][Problem solving and exercises] | 2 |
| Writing of reports or projects [AUTÓNOMA][Cooperative / Collaborative Learning] | 2 |
| Teaching period: Two weeks | |
| Unit 2 (de 6): Geometry and spatial thinking | |
|---|---|
| Activities | Hours |
| Study and Exam Preparation [AUTÓNOMA][Self-study] | 5 |
| Writing of reports or projects [AUTÓNOMA][Self-study] | 10 |
| Class Attendance (theory) [PRESENCIAL][Lectures] | 5 |
| Class Attendance (practical) [PRESENCIAL][Problem solving and exercises] | 6 |
| Writing of reports or projects [AUTÓNOMA][Cooperative / Collaborative Learning] | 4 |
| Teaching period: Four weeks | |
| Unit 3 (de 6): Basics of geometry in the space | |
|---|---|
| Activities | Hours |
| Study and Exam Preparation [AUTÓNOMA][Self-study] | 10 |
| Writing of reports or projects [AUTÓNOMA][Self-study] | 12 |
| Class Attendance (theory) [PRESENCIAL][Lectures] | 8 |
| Class Attendance (practical) [PRESENCIAL][Problem solving and exercises] | 7 |
| Writing of reports or projects [AUTÓNOMA][Cooperative / Collaborative Learning] | 10 |
| Workshops or seminars [PRESENCIAL][Cooperative / Collaborative Learning] | 2 |
| Teaching period: Seven weeks | |
| Unit 4 (de 6): Geometry of transformations in the plane | |
|---|---|
| Activities | Hours |
| Study and Exam Preparation [AUTÓNOMA][Self-study] | 10 |
| Writing of reports or projects [AUTÓNOMA][Self-study] | 10 |
| Class Attendance (theory) [PRESENCIAL][Lectures] | 8 |
| Class Attendance (practical) [PRESENCIAL][Problem solving and exercises] | 8 |
| Writing of reports or projects [AUTÓNOMA][Cooperative / Collaborative Learning] | 3 |
| Teaching period: Five weeks | |
| Unit 5 (de 6): | |
|---|---|
| Activities | Hours |
| Study and Exam Preparation [AUTÓNOMA][Self-study] | 14 |
| Writing of reports or projects [AUTÓNOMA][Self-study] | 16 |
| Class Attendance (theory) [PRESENCIAL][Lectures] | 9 |
| Class Attendance (practical) [PRESENCIAL][Problem solving and exercises] | 10 |
| Writing of reports or projects [AUTÓNOMA][Cooperative / Collaborative Learning] | 4 |
| Workshops or seminars [PRESENCIAL][Cooperative / Collaborative Learning] | 4 |
| Teaching period: Seven weeks | |
| Unit 6 (de 6): | |
|---|---|
| Activities | Hours |
| Study and Exam Preparation [AUTÓNOMA][Self-study] | 9 |
| Writing of reports or projects [AUTÓNOMA][Self-study] | 12 |
| Class Attendance (theory) [PRESENCIAL][Lectures] | 6 |
| Class Attendance (practical) [PRESENCIAL][Problem solving and exercises] | 2 |
| Writing of reports or projects [AUTÓNOMA][Cooperative / Collaborative Learning] | 2 |
| Teaching period: Three weeks | |
| Global activity | |
|---|---|
| Activities | hours |
10. Bibliography and Sources
| Author(s) | Title | Book/Journal | Citv | Publishing house | ISBN | Year | Description | Link | Catálogo biblioteca |
|---|---|---|---|---|---|---|---|---|---|
| Alsina, Claudi | Geometría para turistas: una guía para disfrutar de 125 mrav | Ariel | 978-84-344-8806-9 | 2009 |
|
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| Alsina, Claudi | Invitación a la didáctica de la geometría | Sintesis | 84-7738-020-1 | 1997 |
|
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| Alsina, Claudi | El club de la hipotenusa: un paseo por la historia de las ma | Ariel | 978-84-344-5385-2 | 2008 |
|
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| Carrillo, L., Contreras, L.C., Climent, N., Monte, M.A., Escudero, D.I. y Flores, E. (Coord.) | Didáctica de las Matemáticas para maestros de Educación Primaria | Madrid | Paraninfo | 978-84-283-3754-0 | 2016 | ||||
| Castro, Enrique | Didáctica de la Matemática en la Educación Primaria | Sintesis | 84-7738-919-5 |
|
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| Chamorro Plaza, Carmen | El problema de la medida: didáctica de las magnitudes lineal | Síntesis | 84-7738-013-0 | 2000 |
|
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| Chamorro Plaza, Carmen y otros | Didáctica de las Matemáticas | Pearson | 2003 | ||||||
| Godino, J. D. | Didactica de las Matemáticas para Maestros | 2004 | http://www.ugr.es/ |