IFES Offers Free Training in Critical Mathematics Education Online, with a Workload of 30 Hours and Certification for Participants Who Meet the Evaluation Requirements.
The continuing education in Mathematics has gained a new fully online option with the opening of registrations for the extension course “Critical Mathematics Education in Teaching and Learning Processes”, offered by the Federal Institute of Espírito Santo (IFES).
The training is free, conducted remotely and aimed at teachers, future educators, and other education professionals interested in critical and investigative pedagogical practices.
The course is part of IFES’s offering of Open Courses in MOOC format, allowing interested individuals to register and study at their own pace, without a selection process and without the need for tutor support.
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The proposal is to support educators in creating tasks and materials that use Mathematics as a tool to analyze, interpret, and problematize social and political issues present in the everyday lives of students.
Continuing Education in Mathematics with a Critical Approach
With a workload of 30 hours, the extension is classified at the basic level, allowing participation from professionals without prior specialization in Mathematics Education.
The emphasis is on developing a pedagogical practice that encourages questioning, positioning, and critical reading of reality based on situations involving numbers, data, and concrete problems.
The target audience includes practicing teachers, Mathematics licentiate students, and other education professionals working in this field or with curricular components that engage with mathematical language.
As it is a self-instructional course, participation is also open to educators from different networks and teaching levels who wish to incorporate investigative approaches in their classes.
Although the main focus is on Mathematics teachers, the course structure is also relevant for those seeking to expand their pedagogical repertoire to address topics such as graph interpretation, reading statistical data, proportions, economic relationships, and the use of quantitative information in public debates.
Content and Themes of IFES’s EAD Course
The curriculum structure brings together central concepts of Critical Mathematics Education, highlighting the role of the discipline in training citizens capable of interpreting numerical information and making informed decisions.
Among the topics covered are the Scenarios for Investigation, in which the classroom is organized as a space for exploration, hypothesis raising, and collective argument construction.
Foundations of exploratory and investigative tasks are also presented, distinguishing proposals that keep the student in the so-called “comfort zone” from those that lead them to the “risk zone” and the “possibility zone.”
These concepts help the teacher plan activities that challenge the student, while still considering their life context and learning conditions.
Another focus is on the notion of foreground and background, which refers to the expectations, opportunities, and experiences each student brings to the classroom.
Based on this framework, the course discusses how to plan activities that connect mathematical content to social and political themes, avoiding treating the discipline merely as a set of abstract techniques.
Methodology and Operation of the EAD Platform
As it is a fully online course, all activities are conducted in a virtual environment on IFES’s Open Courses platform.
The self-instructional format combines video lessons, reading materials, and directed study proposals, allowing each participant to organize their routine according to their availability.
Although there is no individual tutoring, the instructional design encourages reflection on one’s own practice and the development of proposals that can be directly taken to the classroom.
Throughout the modules, the student is invited to observe real situations, analyze problems, plan investigative tasks, and relate these exercises to theoretical frameworks of Critical Mathematics Education.
The absence of a selection process and the free access expand the reach for educators from all regions of the country.
To participate, one simply needs internet access and time to follow the content and complete the evaluation activities within the virtual environment.
Certificate, Evaluation, and Minimum Performance
Like other open courses from IFES, certification is contingent upon fulfilling activities and performance on evaluations.
To receive the completion certificate, the participant must achieve a minimum score of 60% on the total score.
In the specific case of the extension in Critical Mathematics Education, the evaluation is organized into three self-correcting questionnaires, which are only released after completing the other activities planned in each module.
The logic is to ensure that the student not only accesses the materials but also engages with the proposed educational path before answering the evaluative questions.
The certificate is issued digitally by the IFES platform upon course completion and achieving the required minimum percentage.
The document can be used to certify hours of continuing education, according to criteria defined by each network or educational institution.
How to Register for IFES’s Free Course
To enroll in the training “Critical Mathematics Education in Teaching and Learning Processes”, interested individuals should access the IFES Open Courses website, locate the course by name in the list of offerings with open registrations, and go to the extension page to register on the platform.
If you do not have a login yet, you need to create a user account by providing basic information and then confirm enrollment in the course so that the modules and materials are released in the participant’s area.

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