
Mathematical Games and Activities in Early Childhood Education
Code: 101985Credits: 6
| Degree programme | Type | Course |
|---|---|---|
| Early Childhood Education | OP | 4 |
Contact lecturer
- Name :
- Alba Torregrosa Martinez
- Email :
- alba.torregrosa@uab.cat
Group languages
You can consult this information at the end of the document.
Prerequisites
It is highly recommended that students have taken and apply knowledge from the following subjects:
- Mathematics in the Early Childhood Education curriculum (3rd year).
- Mathematical practice in the Early Childhood Education classroom (4th year).
Objectives
The course "Play and Mathematical Activity in Early Childhood Education" is an elective course for fourth-year students that focuses on a specific didactics.
It is taught when the students have already completed all the basic training and is taken following the two mandatory subjects: "Mathematics in the Early Childhood Education Curriculum" (3rd year) and "Mathematical Practice in the Early Childhood Education Classroom" (4th year). In this course, the aim is for students to deepen their knowledge of mathematics didactics in early childhood education through the design and implementation of workshops and mathematical spaces.
This course is conducted in collaboration with the school "L'Escoleta de Bellaterra." For this reason, the workshops and mathematical spaces designed by the students will be directly implemented with the preschool children of this center. In this sense, the students of the Early Childhood Education Degree who take the course will become mentors for two groups of children from l'Escoleta and will conduct thorough monitoring of one or two children for each degree student. This subject has a completely practical nature and is applied to the school reality of a specific center. Approximately half of the class hours are conducted at the Escoleta de Bellaterra in direct contact with children.
Objectives:
1.- Design workshops and mathematical spaces for children in the 3-6 age range.
2.- Implement workshops and mathematical spaces with children in the 3-6 age group.
3.- Document the mathematical progress of one or two students thoroughly.
Learning outcomes
- Understand learning and teaching theory as governed by the mathematics curriculum.
- Understand the diversity of educational situations designed around the mathematics curriculum.
- Be able to design personal teaching situations based on the curriculum and theoretical guidelines and examples shown in the subject for the teaching and learning of mathematics in infant education.
- Understand the diversity of interdisciplinary teaching situations for teaching and learning of mathematics in kindergarten.
- Be able to identify mathematical aspects in everyday life and be able to potentiate them and share them with children to facilitate their learning.
- Using technologies in the design of didactic proposals for teaching and learning mathematics in nursery school or the initial cycle of primary school.
- Know about didactic situations and experiences that are created with a global and inclusive perspective of different cognitive, emotional, psychomotor and volitional dimensions.
- Be able to analyse a learning situation, assess its relevance and make innovative alternative proposals.
- Be able to draw on best mathematical practices to create new and personal ones.
- Be able to organize both personal and group work to design and implement a joint project.
- Apply key elements of the mathematics curriculum to a personal design.
- Be able to include attention to diversity, gender equality, equity and respect for human rights in one's own design.
- Propose viable projects and actions to boost social, economic and environmental benefits.
Contents
This course covers the following content developed in a single teaching unit:
- Difference between play and playful activity.
- Mathematical perspective on the evolution of play in early childhood education.
- Mathematical learning through different types of games.
- Design, creation, implementation, and evaluation of workshops and mathematical spaces based on games.
- Review of mathematical concepts from different content blocks and various ages in the 3-6 stage.
- Use and interpretation of the blank page as a tool for mathematical representation.
- Use of school documentation as a tool for communication and assessment.
Learning activities and methodology
| Title | Hours | ECTS | Learning outcomes |
|---|---|---|---|
| Autonomous activity | 75 | 3 | |
| Large group | 45 | 1.8 | |
| Analysis of materials and classroom experiences | 30 | 1.2 |
The methodology of this subject is based on its applicability in a concrete reality.
You will dive into the didactics of mathematics starting from a practical context. In this sense, you will become the mathematical godparents of children in Early Childhood Education at l'Escoleta de Bellaterra. During the entire course, you will have one or two children under your care (who will become your godchildren) and you will accompany them for five months.
The main purpose of the course is to design game-based mathematical workshops and spaces that you will share with your classmates and carry out with your godchildren. You will document the design and implementation of each of the workshops and spaces created, collecting evidence of learning and assessment of your godchildren.
Finally, you will draft a comprehensive documentation of the entire process that will be shared with the classroom tutors and the families of the children. Due to the nature of the subject and its practicality, full attendance and involvement are required. You must act with the utmost responsibility and dedication, as every two weeks we will attend l'Escoleta and be in charge of 40 children.
The course follows a cyclical methodology that repeats approximately every 3 weeks. In each cycle, each of the 5 work teams (composed of approximately 6 godparents) will carry out the following tasks:
- Week 1: Design of a workshop or a proposal for mathematical spaces that address the specific school reality of the godchildren.
- Week 2: Implementation with the classmates to improve the proposal.
- Week 3: Implementation of the workshop or the improved proposal of mathematical spaces with the godchildren and their tutors. Collection of learning evidence and evaluation of the session.
Assessment
Continuous assessment activities
| Title | Weight | Hours | ECTS | Learning outcomes |
|---|---|---|---|---|
| Video summary of the process | 20% | 0 | 0 | 4, 5, 6, 7, 8, 9, 10, 12, 13 |
| Design and implementation of workshops and/or spaces | 20% | 0 | 0 | 1, 2, 3, 4, 5, 6, 7 |
| Folder for families | 15% | 0 | 0 | 4, 5, 8, 9, 10, 11, 13 |
| Classroom diary | 45% | 0 | 0 | 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13 |
The CONTINUOUS assessment will be carried out throughout the entire course through the activities shown below. As can be seen, the evaluation of the course consists of 60% corresponding to individual assessment tasks and 40% corresponding to group assessment tasks.
| Assessment tasks | Percentage of the final mark | Workload | Description | ||
| Classroom diary (individually) | 45% | 4 in-class hours + independent work | The students must create a descriptive classroom diary (accompanied by photographs) that shows the teaching-learning process of the godchild. This diary should include the description and analysis of the 6 workshops conducted with the children, providing evidence of the godchild's learning as well as a reflection on the process carried out. | Due date: 11/06/2027. | This activity can be resubmitted. The resit date will be 18/06/2027. |
| Folder for families (individually) | 15% | 2 in-class hours + independent work | Students will prepare a folder forthe families that includesa presentation of the godfather or godmother as well as a detailed description of the workshops and spaces conducted, with anobjective interpretation of the teaching-learning process of the child. This folder will be delivered to the families at the end of the school year. | Due date: 11/06/2027. | This activity can be resubmitted. The resit date will be 18/06/2027. |
| Design and Implementation of workshops and/or spaces (in group) | 20% | 5 in-class hours + independent work | Each of the 5 working groups will design a workshop proposal or a proposal for game-based mathematical spaces. Each group must present their collective proposal to their classmates and implement it with them in order to gather suggestions for improvement. | The teacher will publish the submission dates for the design and implementation of the workshops and/or learning spaces when publishing the course program, as the dates depend on the school’s schedule. The workshops and/or learning spaces will be submitted every two weeks between April and May 2027. | This activity cannot be resubmitted. |
| Video summary of the process (in group) | 20% | 1 in-class hour + independent work | Each of the 5 workgroups will create a short 5-minute video that showcases a compilation of learning evidence carried out by the godchild. The group must present the video to the rest of their peers, and a 360 evaluation will be conducted (self-assessment, peer-assessment, and evaluation by the teacher). | Due date: 11/06/2027. | This activity cannot be resubmitted. |
| RETAKE |
Students who do not obtain a grade of 5 or higher in the classroom diary may take a retake exam that will account for 40% of the course grade, replacing the grade from the classroom diary. The maximum grade for the retake exam will always be 5. This retake exam will be held on the 18/06/2027.
Students who do not obtain a grade of 5 or higher in the folder for families may take a retake exam that will account for 15% of the course grade, replacing the grade for the folder for families submitted. The maximum grade for the retake will always be 5. This retake exam will be held on 18/06/2027.
CALCULATION OF THE SUBJECT MARK:
The final course marke is the weighted average of the evaluation activities highlighted above with the following conditions:
- To be eligible for the weighted average calculation with the other course grades, students must obtain a minimum grade of 5 in the Descriptive Classroom Journal and the Portfolio for Families, or, where applicable, in their resit assessments. If a student does not obtain a minimum grade of 5, they will not pass the course and the final course grade will be 3.
- Late submission of assessment activities will result in a grade of 0 for the corresponding activity.
- To be assessed, students must submit at least 75% of the assessable tasks. Students who do not submit at least 75% of the assessable tasks will be classified as “Not Assessed” (NA).
- Assessment activities are not eligible for resubmission under any circumstances, except for the Descriptive Classroom Journal and the Portfolio for Families.
- Even if students obtain a grade higher than 5 in the Descriptive Classroom Journal and the Portfolio for Families, or in their respective resit assessments, if the weighted average of all grades does not reach 5, they will not pass the course and the final grade recorded on their academic transcript will be 3.
- Class attendance is compulsory. A maximum of 20% absence/incidents in class sessions will be permitted.
The student, at the same time, must take into account the following regulatory considerations regarding evaluation:
- Regarding the use of Artificial Intelligence, the course will follow Model 2 - Restricted Use: For this course, the use of Artificial Intelligence (AI) technologies is allowed exclusively for support tasks such as bibliographic or information searches and the correction of texts or translations. The student must clearly identify which parts were generated with this technology, specify the tools used, and include a critical reflection on how these have influenced the process and the final outcome of the activity. The lack of transparency in the use of AI in this evaluable activity will be considered abreach of academic honesty and may result in a partialor total penalty on the activity's grade, or more severe sanctions in cases of gravity.
- All evaluation activities are mandatory for all students.
- The mark for a group submission is not necessarily the individual mark for each student in that group.
- Students who are not physically present in the seminar session where the implementation of the workshop/designed spaces is presented or in the presentation of the summary video of the process, will receive a maximum grade of 5 for that activity.
To pass this course, it is necessary for the student to demonstrate good general communicative competence, both oral and written, and a good command of the vehicular language specified in the course syllabus. In all activities (individual and group), linguistic accuracy, writing, and formal presentation aspects will therefore be taken into account.
Students must be able to express themselves fluently and correctly anddemonstrate a high degree of comprehension of academictexts. The student must demonstrate a competence equivalent to level 2 (equivalent to C2). Before submitting learning evidence, it is necessary to verify that the sources, notes, direct quotes, and bibliographic references have been correctly written according to APA 7 guidelines.
Total or partial plagiarism of any evaluation activity and/or copying during an evaluation test is grounds for failing the course. Copying or plagiarizing any type of evaluation activity constitutes a crime, penalized with a 0 as the grade for the subject, losing the possibility of recovering it, whether it is an individual or group work (in this case, all group members will receive a 0).
The return and grading of evaluation activities will be done within a maximum of 15 business days after submission.
SINGLE ASSESSMENT and SYNTHESIS ASSESSMENT
THERE WILL BE NO SINGLE ASSESSMENT OR SYNTHESIS ASSESSMENT for this subject due to its predominantly practical nature. It is recommended that students repeating the course ensure their temporal availability to attend it regularly, if necessary, avoiding enrolling in other courses from different programs that are held on the same day in the same time slot.
Bibliography
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Carruthers, E., & Worthington, M. (2006). Children’s mathematics: Making marks, making meaning. Sage.
Carruthers, E., & Worthington, M. (2011). Understanding children’s mathematical graphics: Beginnings in play. Open University Press.
Clements, D. H., & Sarama, J. (2015). El aprendizaje y la enseñanza de las matemáticas a temprana edad: El enfoque de las trayectorias de aprendizaje. Learning Tools.
Clements, D. H., & Sarama, J. (2017). Play, mathematics, and false dichotomies. Development and Research in Early Math Education. https://dreme.stanford.edu/news/play-mathematics-and-false-dichotomies
Clements, D. H., & Sarama, J. (2026, julio 1). Learning & teaching with learning trajectories: Early math (Birth to grade 3). https://www.learningtrajectories.org/
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Early Childhood Mathematics Group. (2026, julio 1). The Royal Society Advisory Committee on Mathematics Education. https://earlymaths.org/
Edo, M. (2016a). El juego como actividad conductora de los primeros aprendizajes matemáticos. En M. H. Martinho, R. A. Tomás, I. Vale & H. Guimarães (Eds.), Atas do XXVII Seminário de Investigação em Educação Matemática (pp. 23–43). Associação de Professores de Matemática. https://www.apm.pt/files/files/SIEM/Atas_SIEM/2016_Porto_ATAS_XXVII_SIEM.pdf
Edo, M. (2016c). Mirada matemàtica sobre els jocs que apareixen a la primera infància. En M. Edo, S. Blanch & M. Anton (Eds.), El joc a la primera infància (pp. 85–110). Octaedro.
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Franke, M., Kazemi, E., & Turrou, A. C. (2018). Choral counting & counting collections: Transforming the PreK–5 math classroom. Routledge.
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Garcia-Triana, B., Edo, M., & Sala-Sebastià, G. (2024). Representaciones gráficas de la composición del número 7 en educación infantil. Educación Matemática, 36(1), 9–40. https://doi.org/10.24844/EM3601.01
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Pecci, M. C., Herrero, T., López, M., & Mozos, A. (2010). El juego infantil y su metodología. McGraw-Hill.
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Vanegas, Y., Prat, M., & Edo, M. (2022). Representaciones matemáticas de niños y niñas de 5–6 años cuando resuelven un problema abierto. Alteridad, 17(2), 180–193. https://doi.org/10.17163/alt.v17n2.2022.02
Software
There is no need.
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 | 1 | Catalan | second semester | morning-mixed |