PAPMEM – July 2026
The program
The Program for the Improvement of High School Mathematics Teachers – PAPMEM, created by the mathematician from Alagoas Elon Lages Lima, aims to improve the training of high school mathematics teachers throughout Brazil.
It has been held for more than 30 years by IMPA and has the participation of institutions and professors from all federative units of Brazil. Since its inception, PAPMEM has benefited thousands of teachers from all over the country. This program resulted in a series of books especially aimed at high school teachers, published by the Brazilian Mathematical Society (SBM).
Course organization
Each edition of the program takes place in a single module and addresses topics from High School and some from Elementary School. They are held simultaneously at IMPA and in partner institutions throughout the country. We currently have about 70 centers and 3,000 participating teachers. At IMPA we have 150 students per module.
When and where
The lectures are taught in the morning and broadcast live from IMPA to participating institutions in other states. In the afternoon, directed studies are carried out supervised by professors from each center. The activities take place during school breaks, in January and July.
Next edition: July 27-31, 2026
Registration
Applications must be submitted through our online system between June 22 and July 23, 2026.
Didactic material
The material of the classes, exercises and templates are published here
on our website.
Modalities
There will be two types of participation to be defined at the time of application. See the descriptions below and select the option you want.
Participation
Teachers who select this option will only watch this edition remotely. The teacher must access IMPA’s YouTube, watch the lessons posted daily (July 27-31), solve the 6 exercises proposed each day and send the answers on the same day via an electronic form, which they will receive via the e-mail address registered in our institutional system. At the end of this edition, teachers will be entitled to a certificate of participation if they send in the 4 forms within the specified time limit and obtain 2/3 (or more) correct answers.
Participation with performance
The teacher who selects this option will attend this edition in hybrid form. The teacher must attend the test in person on Friday, July 31, at the location selected for the test at the time of application, in addition to accessing IMPA’s YouTube and watching the classes posted daily (July 27-31), solving the 6 exercises proposed each day and sending the answers on the same day via an electronic form that they will receive via their registration email in our institutional system.
Evaluation in person
When choosing the modality of participation with performance, the candidate must select the center where he wants to take the face-to-face test. IMPA will inform the coordinators of the name and email of the approved candidates for each center. The coordinator of the center will pass on to the selected candidates, via email, information such as location, room and time of the test. The selected candidate must go in person to the campus informed by the local coordinator to take the test on Friday of the week of the event.
Programming and teaching materials
| Monday 27/07/2026 |
3rd Friday 28/07/2026 |
4th Friday 29/07/2026 |
5th Friday 30/07/2026 |
Friday 31/07/2026 |
|---|---|---|---|---|
|
Eduardo Wagner Geometry: Two famous theorems |
Paulo Cezar Probability Beyond High School: The Expected Value |
Rodrigo Villard Inequality of averages |
Pedro Malagutti Origami: Mathematics and magic |
Face-to-face assessment Note: Only for teachers enrolled in mode 2. |
|
Luciano Castro Olympics in the classroom |
Flavia Landim What changes when we draw with and without replacement? |
Humberto Bortolossi Examples of using AI to teach and learn mathematics |
Carlos Gomes Higher order arithmetic progressions |
Answers to questions |
| Solutions to the exercises for 27/07/2026 | Solutions to the exercises for 28/07/2026 | Solutions to the exercises for 29/07/2026 | Solutions to the exercises for 30/07/2026 | ⇒ Solutions for the final assessment ⇒ Templates for the form exercises |
More information
- From Monday to Thursday, 02 classes will be available at 09h on IMPA’s YouTube: https://www.youtube.com/@impabr
- Daily at 9 am, Brasília time, the list of exercises and the answer form will be sent to the e-mail registered in the system. The form must be answered within 24 hours, Brasilia time, of each day. This response will count as attendance and, therefore, issuance of a certificate.
- If any students have questions about the subjects, they should send them in by Thursday 30/07/2026 at 2pm for the teachers to analyze. The selected questions will be answered on Friday 31/07.
In-person evaluation of the edition
- The face-to-face assessment will take place on July 31st, from 9:00 am to 10:40 am, at the center chosen by the teacher when applying.
- The teacher’s score in this modality will be the sum of the number of correct answers in the daily questions (maximum of 24 points) with the score of the discursive test (maximum of 76 points). If this score is greater than or equal to 60, the teacher will be entitled to the certificate of participation with performance and his score will be recorded in the certificate.
