1. General information
Course:
TEACHING NUMBERS AND STOCHASTICS
Code:
46304
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:
1
Duration:
AN
Main language:
English
Second language:
Spanish
Use of additional languages:
English Friendly:
N
Web site:
Bilingual:
Y
Lecturer:
MANUEL GARCIA PIQUERAS
- Group(s):
18
Building/Office
Department
Phone number
Email
Office hours
Facultad de Educación - Departamento de Matemáticas
MATEMÁTICAS
926053386
Manuel.GPiqueras@uclm.es
The information about the schedule and location of the office hours is included on the Virtual Campus and on the Notice Board of the corresponding Department.
Lecturer:
ANA GONZALEZ GUZMAN
- Group(s):
17
19
15
Building/Office
Department
Phone number
Email
Office hours
Facultad de Educación - Departamento de Matemáticas
MATEMÁTICAS
2520
Ana.GonzalezGuzman@uclm.es
Lecturer:
JOSE ANTONIO GONZALEZ CALERO SOMOZA
- Group(s):
17
18
Building/Office
Department
Phone number
Email
Office hours
Facultad de Educación - Departamento de Matemáticas
MATEMÁTICAS
967599222 Ext.2741
jose.gonzalezcalero@uclm.es
The information about the schedule and location of the office hours is included on the Virtual Campus and on the Notice Board of the corresponding Department.
Lecturer:
JOSÉ ANTONIO NAVARRO CHUMILLAS
- Group(s):
19
15
Building/Office
Department
Phone number
Email
Office hours
MATEMÁTICAS
Profesor.JANavarro@uclm.es
The information about the schedule and location of the office hours is included on the Virtual Campus and on the Notice Board of the corresponding Department.
Lecturer:
JOSÉ ANTONIO NAVARRO CHUMILLAS
- Group(s):
19
15
Building/Office
Department
Phone number
Email
Office hours
MATEMÁTICAS
JoseAntonio.Navarro@uclm.es
The information about the schedule and location of the office hours is included on the Virtual Campus and on the Notice Board of the corresponding Department.
2. Pre-Requisites
Students must master the concepts, skills, algorithms and the basic strategies of Mathematics in Primary and Secondary School.
3. Justification in the curriculum, relation to other subjects and to the profession
This course unit contributes to the initial training of educators in mathematics, which is integrated in the required training to be a teacher in Primary Education. In this context, a teacher must be able to answer the question about what, how and when to teach and assess in multiple subjects. Therefore, a future teacher in Primary Education must be qualified to evaluate and choose from a huge range of diverse pedagogical options and must acquire competences associated with the field of curricular design.
This course unit is placed in module 1.2.3 "Teaching and learning of Mathematics", within module 1.2. "Teaching and field requirements" and 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 | |
| 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. | |
| 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. | |
| 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: Developing early number concepts and number sense.
-
Unit 2: Number systems.
-
Unit 3: Operations with whole numbers. Addition & Subtraction. Multiplication & Division. Divisibility.
-
Unit 4: Rational numbers. Proportional reasoning.
-
Unit 5: Data analysis. Data representation.
-
Unit 6: Probability.
7. Activities, Units/Modules and Methodology
| Training Activity | Methodology | Related Competences (only degrees before RD 822/2021) | ECTS | Hours | As | Com | Description | |
| 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 | 1.76 | 44 | N | N | Expositive lectures. | |
| Class Attendance (practical) [ON-SITE] | Problem solving and exercises | 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 | 1.2 | 30 | Y | N | Seminars aimed at solving problems. | |
| Writing of reports or projects [OFF-SITE] | Cooperative / Collaborative Learning | 1.2.2.II.03 1.2.2.II.04 1.2.2.II.06 CB02 CG11 CT03 | 1 | 25 | Y | Y | Elaborating projects in cooperative groups. | |
| Writing of reports or projects [OFF-SITE] | Self-study | 1.2.2.II.03 1.2.2.II.04 1.2.2.II.06 CB02 CG11 CT03 | 2.4 | 60 | Y | Y | Solving practical activities and problems posed in the classroom. | |
| Project or Topic Presentations [ON-SITE] | Cooperative / Collaborative Learning | CG10 CG11 CT03 | 0.24 | 6 | Y | N | Attendance and participation in the oral presentation of group work. | |
| Workshops or seminars [ON-SITE] | Cooperative / Collaborative Learning | 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 CG11 | 0.24 | 6 | Y | N | Seminars with manipulative resources. | |
| 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 CB02 CG10 CG11 CT03 CT04 | 2 | 50 | N | N | Consulting reference materials and bibliography. Preparation for exams. | |
| Mid-term test [ON-SITE] | Assessment tests | 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 CG11 CT03 | 0.08 | 2 | Y | Y | Partial tests that, once both are passed, allow students to not take the final exam. | |
| Final test [ON-SITE] | Assessment tests | 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 CG11 CT03 | 0.08 | 2 | Y | Y | Written exam. | |
| 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 |
| Mid-term tests | 70.00% | 70.00% | Written exams are 70% of the global mark. There are two ways to pass this part of the course unit: 1) Sitting the final exam either in the ordinary call or in the extraordinary call. Students will need a minimum grade of 4 out of 10. 2) Sitting two partial exams that will take place during the academic year (one at the beginning of the 2nd term and another at the end of the 2nd term). Each of these tests weighs the same (35% of the global mark). In each partial exam, students will need a minimum grade of 4 out of 10. To pass this evaluation system, the student will need a minimum grade of 4 out of 10 (40%). |
| Assessment of active participation | 10.00% | 10.00% | Evaluation of practical classroom activities. Non-retaking evaluation system. |
| Projects | 20.00% | 20.00% | This mark consists of: - Oral presentation of a group work (10%). Retaking activity. - Assignments related to the activities carried out in the seminars (10%). Non-retaking activity. To pass this evaluation system, the student will need a minimum grade of 4 out of 10 (40%). Mandatory evaluation system. |
| 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 (global) final course mark will consist of the weighted average of the three following marks (to apply this calculation it is necessary to get at least 4 out of 10 points in each part):
a) Exams (70%).
b) Projects (10% from oral presentation and 10% from works related to seminars).
c) Practical activities performed and submitted in class. (10%).
Those students who do not pass partial exams will be allowed to take the final exam in the ordinary call according to the official final exam schedule. To pass this evaluation system, the student will need a minimum grade of 4 out of 10 (40%).
Important remarks: For the oral group presentations, written projects, practices and exams, the quality of the language employed will be considered. In fact, for every mistake of those included in the list "mistakes to avoid" (see Moodle), the student will miss 0.2 points in the corresponding activity up to a maximum of 1.6 points (8 mistakes).
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).
For students who have taken the course in a previous academic year, the assessment of those completed educational activities will be preserved for up to a maximum of two academic years, provided that the educational activities and evaluation criteria published in the course guide have not been modified, without prejudice to the student's right to redo those activities. -
Non-continuous evaluation:The same criteria for the continuous assessment apply.
Specifications for the resit/retake exam:
The same criteria of the ordinary examination session apply.
Specifications for the second resit / retake exam:
The same criteria of the ordinary examination session apply.
9. Assignments, course calendar and important dates
| Not related to the syllabus/contents | |
|---|---|
| Hours | hours |
| Writing of reports or projects [AUTÓNOMA][Cooperative / Collaborative Learning] | 4 |
| Writing of reports or projects [AUTÓNOMA][Self-study] | 12 |
| Project or Topic Presentations [PRESENCIAL][Cooperative / Collaborative Learning] | 6 |
| Study and Exam Preparation [AUTÓNOMA][Self-study] | 2 |
| Final test [PRESENCIAL][Assessment tests] | 2 |
| Unit 1 (de 6): Developing early number concepts and number sense. | |
|---|---|
| Activities | Hours |
| Class Attendance (theory) [PRESENCIAL][Lectures] | 3 |
| Class Attendance (practical) [PRESENCIAL][Problem solving and exercises] | 2 |
| Writing of reports or projects [AUTÓNOMA][Self-study] | 4 |
| Study and Exam Preparation [AUTÓNOMA][Self-study] | 4 |
| Teaching period: Weeks 1 y 2 | |
| Unit 2 (de 6): Number systems. | |
|---|---|
| Activities | Hours |
| Class Attendance (theory) [PRESENCIAL][Lectures] | 7 |
| Class Attendance (practical) [PRESENCIAL][Problem solving and exercises] | 4 |
| Writing of reports or projects [AUTÓNOMA][Cooperative / Collaborative Learning] | 3 |
| Writing of reports or projects [AUTÓNOMA][Self-study] | 12 |
| Workshops or seminars [PRESENCIAL][Cooperative / Collaborative Learning] | 2 |
| Study and Exam Preparation [AUTÓNOMA][Self-study] | 8 |
| Teaching period: Weeks 3 to 6 | |
| Unit 3 (de 6): Operations with whole numbers. Addition & Subtraction. Multiplication & Division. Divisibility. | |
|---|---|
| Activities | Hours |
| Class Attendance (theory) [PRESENCIAL][Lectures] | 9 |
| Class Attendance (practical) [PRESENCIAL][Problem solving and exercises] | 8 |
| Writing of reports or projects [AUTÓNOMA][Cooperative / Collaborative Learning] | 6 |
| Writing of reports or projects [AUTÓNOMA][Self-study] | 16 |
| Workshops or seminars [PRESENCIAL][Cooperative / Collaborative Learning] | 2 |
| Study and Exam Preparation [AUTÓNOMA][Self-study] | 10 |
| Teaching period: Weeks 7 to 15 | |
| Unit 4 (de 6): Rational numbers. Proportional reasoning. | |
|---|---|
| Activities | Hours |
| Class Attendance (theory) [PRESENCIAL][Lectures] | 13 |
| Class Attendance (practical) [PRESENCIAL][Problem solving and exercises] | 11 |
| Writing of reports or projects [AUTÓNOMA][Cooperative / Collaborative Learning] | 6 |
| Writing of reports or projects [AUTÓNOMA][Self-study] | 12 |
| Workshops or seminars [PRESENCIAL][Cooperative / Collaborative Learning] | 2 |
| Study and Exam Preparation [AUTÓNOMA][Self-study] | 14 |
| Teaching period: Weeks 16 to 24 | |
| Unit 5 (de 6): Data analysis. Data representation. | |
|---|---|
| Activities | Hours |
| Class Attendance (theory) [PRESENCIAL][Lectures] | 7 |
| Class Attendance (practical) [PRESENCIAL][Problem solving and exercises] | 3 |
| Writing of reports or projects [AUTÓNOMA][Cooperative / Collaborative Learning] | 3 |
| Writing of reports or projects [AUTÓNOMA][Self-study] | 2 |
| Study and Exam Preparation [AUTÓNOMA][Self-study] | 8 |
| Teaching period: Weeks 25 to 27 | |
| Unit 6 (de 6): Probability. | |
|---|---|
| Activities | Hours |
| Class Attendance (theory) [PRESENCIAL][Lectures] | 5 |
| Class Attendance (practical) [PRESENCIAL][Problem solving and exercises] | 2 |
| Writing of reports or projects [AUTÓNOMA][Cooperative / Collaborative Learning] | 3 |
| Writing of reports or projects [AUTÓNOMA][Self-study] | 2 |
| Study and Exam Preparation [AUTÓNOMA][Self-study] | 6 |
| Teaching period: Weeks 28 to 30 | |
| Global activity | |
|---|---|
| Activities | hours |
10. Bibliography and Sources
