
Games and Mathematical Activities in Primary Education
Code: 102058Credits: 6
| Degree programme | Type | Course |
|---|---|---|
| Primary Education | OP | 4 |
Contact lecturer
- Name :
- David Lobo Sanchiz
- Email :
- david.lobo@uab.cat
Teaching staff
- David Lobo Sanchiz
Group languages
You can consult this information at the end of the document.
Prerequisites
It is recommended that students enrolled in this subject have been enrolled and have successfully passed the following subjects of mathematics education: "Mathematics for teachers", first year; "Mathematics learning and curriculum", second year; "Management and innovation in the mathematics classroom", third year.
Objectives
- Knowing, contextualizing, practicing and classifying some of the main abstract games across different world regions and throughout time periods.
- Exploring the relationships between games and mathematics from the perspective of the didactical contexts that emerge in the teaching of mathematics in Primary Education.
- Analyzing and designing game contexts for the cycles of Primary Education and in relation to mathematical strategies and curricular contents.
- Understanding the potential of games as mathematically rich activities that allow to develop a positive vision of mathematics while enacting cooperative work.
Learning outcomes
- Adapt teaching and learning programs and activities to pupil diversity.
- Understand recreational didactic situations involving mathematics, both inside and outside the classroom, to promote independent learning and cooperative work.
- Understand, appreciate and apply mathematical games in teaching and learning in this field.
- Design innovative teaching sequences from contexts that provide recreational mathematics.
- Identifying, designing and communicating concepts, facts and phenomena of different sciences capable of being modelled using mathematical concepts.
- Understand and critically evaluate educational software and related web-based resources in the gaming world that are suitable for teaching and learning mathematics.
- Analyse the goals of mathematics education at different stages of primary education.
- Design teaching and learning sequences that connect different mathematical topics.
- Identify the social, economic and environmental implications of academic and professional activities within one?s own area of knowledge.
- Analyse the indicators of sustainability of academic and professional activities in the areas of knowledge, integrating social, economic and environmental dimensions.
- Propose viable projects and actions to boost social, economic and environmental benefits.
- Propose ways to evaluate projects and actions for improving sustainability.
Contents
1. Introduction:
1.1. Playful mathematics and \"serious\" mathematics.
1.2. Mathematical activity, games and mathematical recreations throughout history.
1.3.The application of games to decision-making: competitive games and collaborative games. The dilemmas
2. Board games and problem solving
2.1. Strategy games (Games of alignments, Search games, Games of connections, Games of Mancala)
2.2. The determination of winning strategies: The small strategy games (Nim and Nimbus games)
2.3. Other board games (games on paper and various pawn games).
3. Games with random intervention
3.1. Systems to generate situations of chance
3.2. Traditional games and probability
4. Mathematical recreations, a resource for the classroom: Enigmas and recreational problems
4.1. Numerical, geometric and logical recreations
5. Learning mathematics and recreational activities
5.1. Examples of mathematical and recretational activities in the school
Learning activities and methodology
| Title | Hours | ECTS | Learning outcomes |
|---|---|---|---|
| Autonomous | 75 | 3 | |
| Directed | 45 | 1.8 | |
| Tutorials and follow-up | 23 | 0.92 |
The teaching and learning methods of this subject are based on interactive dynamics of whole-group and small-group face-to-face participation.
The main tenets are as follows
- 25 hours for presentations of the teacher (whole-group)
- 10 hours for analyses of board games (small-group)
- 10 hours for mathematical recreation workshops (small-group)
- 5 hours for student presentations and other assessment tasks (whole-group)
Assessment
Continuous assessment activities
| Title | Weight | Hours | ECTS | Learning outcomes |
|---|---|---|---|---|
| Practice of analysis (parella) | 10% | 1 | 0.04 | 2, 3, 6 |
| Practice of design (in pairs) | 15% | 1 | 0.04 | 1, 3, 7, 10 |
| Didactic design of games (group) | 20% | 2 | 0.08 | 1, 2, 3, 4, 7, 8, 12 |
| Classroom participation (Individual) | 10% | 1 | 0.04 | 2, 3, 5, 7, 9, 11 |
| Final written test (Individual) | 45% | 2 | 0.08 | 2, 3, 5 |
CONTINUED ASSESSMENT
The students must participate in all lessons in order to have their activities assessed (up to 20% of incidences is contemplated). Moreover, the ordinary evaluation call will not be accomplishedfor students who have not submitted all the assessment activities within the corresponding deadlines and whose qualification is minimun 5 for each of these activities, including the written test. For these cases, there will be an extraordinary evaluation call where the maxium qualification will be 5. The dates of submission or accomplisment of the assessment activities are as follows:
- Analysis assignment: 28th September, 2026.
- Design assignment: 2th November, 2026.
- Mathematics classroom activity design project and oral presentation: 14th December, 2026.
- Final written exam: 11th January, 2027.
| Activities of continued assessment | Qualification % |
| Classroom participation (individual) | 10 |
| Practice of analysis (pair) | 10 |
| Practice of design (pair) | 15 |
| Final written test (individual) | 45 |
| Design of classroom activities and presentation (small group) | 20 |
The resit examination will take place on January 25, 2027. Students who obtain an average grade below 3.5 in the course will not be eligible to take the written resit examination.
No comprehensive final assessment (synthesis test) is offered.
SINGLE ASSESSMENT
Students following the single-assessment route must complete three assignments (an analysis project, a design project, and a project on designing mathematics classroom activities), each worth 20% of the final grade, in addition to the same final written examination taken by students under continuous assessment, which is worth 40% of the overall grade. All assessment activities will take place on January 11, 2027.
Students must obtain a minimum grade of 5 in each assessment component (including the written examination) in order to be eligible for overall evaluation. The same resit system as for continuous assessment will apply, with the resit examination taking place on January 25, 2027.
In addition:
- Communicative competence will be taken into account in all assessment activities. Any assignment may be returned for revision if it contains deficiencies in written expression or spelling.
- The grade awarded for group work is not necessarily the same as the individual grade received by each member of the group.
- Copying or plagiarism in any assessment activity will result in a grade of zero for the course. The use of generative artificial intelligence tools to substitute for students’ own learning activities will also result in a grade of zero for the course.
- Grades for each assessment activity will be provided to students within 15 working days. Once grades have been released, students may review their marks during the office hours arranged by the instructor.
Bibliography
Recommendations of some texts
Albarracín, L. (2021). Una secuencia de actividades para desarrollar la visualización usando un videojuego. Enseñanza de las Ciencias, 39(2), 181-199.
Comas, O. (2005). El món en jocs. RBA-La Magrana.
Deulofeu, J. (2003). 131 juegos matemáticos. Martínez Roca.
Fomín, D. et al. (2012). Círculos matemáticos. SM & RSME.
Gardner, M. et al. (2018). ¡Ajá! Paradojas que te hacen pensar. RBA.
Grunfeld, F. (1978). Juegos de todo el mundo. UNICEF-Edilan.
Guzmán, M. (2003). Cuentos con cuentas. Nívola.
Paenza, A. (2017). Gardner para aficionados. Juegos de matemática recreativa. SM & RSME.
Wells, D. (1992). The penguin book of curious and interesting puzzles. Penguin Books
Recomendations of some webpages
Jareño, Joan. Calaix +ie. http://xtec.cat/~jjareno
NRICH Enriching Mathematics. http://nrich.maths.org/frontpage
CREAMAT. http://srvcnpbs.xtec.cat/creamat/joomla
DIVULGAMAT. http://www.divulgamat.net
Software
No specific software will be used. However, there can be, in accordance with the types of game-based learning activities, related open access software.
Course groups and languages
The information provided is provisional until November 30. After this date, you will be able to consult the language of each group through this link. To access the information, you will need to enter the course CODE
| Type of teaching | Group | Language | Semester | Shift |
|---|---|---|---|---|
| (TE) Theory | 20 | Catalan | first semester | morning-mixed |