The teaching proposal is based on a methodology of active, face-to-face classroom work. In parallel, the student must carry out the proposed tasks on time in order to properly follow the teaching of the subject. The student must work bearing in mind that learning mathematics requires daily practice and that mathematics is not learnt by watching or seeing how someone else does mathematics. Learning is based on DOING mathematics, showing a pro-active attitude.

The student is expected to autonomously take responsibility for extending his or her basic mathematical knowledge. The inclusion of different learning paces will be facilitated with voluntary, non-assessable activities. The specific assessment activities and the criteria for marking them will be the same for all those enrolled on the course.

The inclusion of different learning paces will be facilitated with proposals for non-assessable voluntary activities. The specific assessment activities and the criteria for marking them will be the same for all those enrolled on the course. In mathematics, the result of each activity or problem can be reached by different routes. This premise is what allows us to promote an inclusive vision of mathematics learning.

Activity analysis and Problem solving

Working sessions in small or large groups where problems are solved and situations are analysed in relation to the mathematical contents involved in the subject. The students responsible for the assignment will present their work orally and the teacher will validate the mathematical knowledge that is involved with the active participation of the rest of the students.

Master classes

Presentation by the teacher of the main contents of the course in which students are expected to actively participate.

Practices or investigations

Group work sessions where research activities are proposed that students solve under the guidance of their teacher.

NOTE: The proposed teaching methodology and assessment may be modified if health authorities impose restrictions on public gatherings.  

ASSESSMENT

Students should keep in mind that learning mathematics requires daily practice and that mathematics is not learned by simply watching or listening to someone else do math. Learning is based on DOING mathematics, demonstrating a proactive attitude. Students are expected to independently take responsibility for expanding and consolidating their foundational mathematical knowledge.

The specific assessment activities will depend on whether the student opts for continuous assessment or a single assessment, as explained below. The assessment criteria will be the same for all students enrolled in the course.

TYPES AND WEIGHT OF ASSESSMENT ACTIVITIES

Assessment Activities for Monitoring the Units

For each of the different units into which the subject is organized (data organization; geometry and measurement; and numbers and proportionality), there will be assessment activities for monitoring the unit. These activities will be specified in different ways depending on whether the student opts for continuous assessment or a single assessment.

At the beginning of each unit, the assessment activities for monitoring the unit will be presented and specified.

The assessment activities for monitoring each unit are of various types and are defined according to the unit:

Data Organization Block - The assessment for this block accounts for 15% of the course grade and has two components:

a) Project Planning, Development, and Report: For the Data Organization block, students, working in small groups, will be asked to plan and develop a statistical research project. Part of this activity will take place in the classroom.

b) An individual test related to the concepts covered in class, which will be administered on the date specified in the schedule provided by the instructors in the syllabus.

The individual grade for the Data Organization block is calculated by weighting the grade for the group project (25%) and the grade for the individual test (75%). The grade for the entire Data Organization block accounts for 15% of the course grade.

• Geometry and Measurement Block - The assessment for the Geometry and Measurement block has two components:

a) Planning, completion, and reporting of activities: For the Geometry and Measurement block, a practical exercise will be proposed, consisting of a series of interconnected mathematical activities to be developed in small groups. These activities will be presented and discussed in seminars.

b) An individual test related to the concepts covered in class, which will take place on the date specified in the calendar. The test dates will be announced by the teachers in the syllabus.

The individual grade for the Geometry and Measurement block is calculated by weighting the grade for the practical exercise resulting from group work (25%) and the grade for the individual exercises (75%). The grade for the Geometry and Measurement block accounts for 15% of the course grade.

• Numbers and Proportionality Block - For the Numbers and Proportionality block, students will have to complete an individual progress test (20% of the course grade).

Block assessment activities are not retaken.

Assessment dates for block progress activities, depending on whether students are on continuous assessment or a single assessment:

• Students on continuous assessment will submit group work for content block progress one week after the block ends.

• The follow-up assessment tests for the blocks for continuous assessment students will be taken on the last day that block is worked on.

• Teachers will publish the submission and progress test dates for the blocks when the syllabus is published, as the dates depend on the block's scheduling and may be different for the different groups.

• For students on a single assessment, for the Geometry and Measurement and Data Organization blocks, they will have to submit a written report of the activity and/or project and complete a written activity to validate the report they submitted. The delivery of the reports and validation tests will be done on the day of the final evaluation (08/06/2027 or 10/06/27 depending on the day of weekly teaching).

Final Exam

After the course has concluded, there will be an individual final exam covering all course content (50% of the course grade). The final exam will be held on June 8, 2027, or June 10, 2027, depending on the day of the week the group has classes for this subject.

Retake Exam

Students who do not achieve a 5 on the final exam, but whose weighted average grade (block progress and final exam) is 3.5 or higher, may take the retake exam (50% of the final grade - replacing the final exam grade). The retake exam is not an opportunity to improve the final exam grade for students who have already passed it.

The retake exam will take place two weeks after the final exam, on June 22, 2027, except for groups with classes on Thursdays, which, due to scheduling constraints, will take place on June 17, 2027. The same recovery system will be applied to both students with single assessment and those with continuous assessment.

Course Grade

The grade, both for the various assessable activities and the final grade, is expressed on a scale of 0 to 10. The passing grade for an assessable activity and/or the course is 5. Once the overall course grade has been calculated, if it is expressed with one decimal place, the tenths digit should be a decimal point.

Calculation of the Course Grade

The final course grade is the weighted average of the grades for the three assessment activities for each unit (geometry and measurement - 15%; number and proportionality - 20%; data organization - 15%) and the grade obtained on the final exam or resit (weighted at 50%), with the following conditions:

• Late submission of unit assessment activities will result in a 0 for the unit assessment. Similarly, absence from the problem-solving exam will result in a 0 for the unit assessment.

• The assessment activities for each module are not eligible for retake under any circumstances.

• To be eligible for a weighted average with the rest of the course grades, the student must have achieved a minimum of 5 on the final exam or the retake exam. If the student does not achieve a minimum of 5 on the final exam or the retake exam, they will fail the course and their final grade for the subject will be 3.

• Even if the student passes the final exam or, where applicable, the resit, if the weighted average of the grades does not reach 5, the student will not pass the subject and the final grade on their transcript will be a 3.

During the course, the student will receive feedback on all assessment activities and will have the opportunity to request a review of the grade obtained. The instructor will publish the grades for the assessment activities within a period not exceeding 20 business days of the academic calendar and will provide the relevant feedback for the different assessment activities.

Through feedback on the assessable activities, students will be able to compare the grade obtained in each part and in total. In the case of exams, the correct answers to each question and the marking criteria used will be made public. In the case of assignments, students will have access to the assessment rubric and the points obtained in the various sections.

The review of grades obtained in assessment activities will be carried out as follows: the student must present their arguments in writing, and the instructor will review the grade, modifying it if deemed necessary. In case of discrepancies, the instructor may request the participation of other instructors of the subject in this review.

Other considerations regarding assessment

Students should take into account the following regulatory considerations regarding assessment:

• The established dates for the block tests, final assessment, and resit exams are not modifiable unless the student suffers a serious illness or any other justified exceptional situation. Individual changes to the submission dates or block progress tests will not be made, except for justified reasons. A driving test, a previously arranged trip, or a family celebration are examples of situations that DO NOT generate changes to the dates of the subject's assessment activities.

• To participate in the resit exam, students must have been previously assessed in a set of activities whose weight is equivalent to at least two-thirds of the total grade for the subject, and the weighted average grade (block progress and final exam) has to be 3.5 or higher.

• Students who have not been assessed in a set of activities whose weight is equivalent to at least two-thirds of the total grade for the subject will be considered ineligible for assessment.

• Calculators are not permitted in individual written tests unless specifically instructed by the instructor. The use of artificial intelligence tools in assessment activities is also prohibited unless explicitly authorized by the instructor.

• All assessment activities are mandatory for all students.

• The grade for a group project is not necessarily the individual grade for each member of that group.

• Copying or plagiarizing material or using AI in assessment activities (when not explicitly recommended by the instructor) will be considered dishonest in the assessment process:

º During a test, if the instructor believes a student is attempting to copy or discovers any unauthorized document or device, the grade for that test will be 0, with no right to retake it;

º A test or exam will be considered to provide evidence of being "copied" when it reproduces all or a significant part of another student's work. A piece of work will be considered "plagiarized" when part of an author's text is presented as one's own without citing the sources, regardless of whether the original sources are in print or digital format;

º Evidence of copying or plagiarism will result in a 0 in the overall grade for the course.

Attendance and Assessment

This course is taught in person. In the event of a serious illness or any other justified exceptional circumstance that prevents a student from attending classes, the attendance requirement may be waived.

Single Assessment

Students opting for the single assessment must follow the course schedule and attend classes regularly. However, they will not submit the progress assessment activities for each module until the final assessment day. Therefore, they will not receive individualized feedback on the progress assessment activities for each module during the course. In any case, they will have access to general feedback, whether provided during class feedback sessions or posted on the virtual campus by the group.

The deadline for submitting assessment evidence and the requirement for a validation test of the collected evidence are specific to students opting for the single assessment. The course instructors deem it necessary to conduct a validation test of the collected evidence because students will have had access to the return process for the activities and the project, as well as the corrected evidence from their classmates.

The deadline for submissions and validation tests, as well as the test for the numbers and proportionality section, is the same as the final exam: June 8, 2027, or June 10, 2027, depending on the day of the week the group has this course.

Therefore, on June 8, 2027, or June 10, 2027, as applicable, students opting for the single assessment must:

• Take the same final exam at the same time as the rest of the students in the course; the same conditions will apply to the resit exam, if necessary.

• Take an individual written assessment of the progress in the numbers and proportionality unit.

• Submit the assessment activities for the geometry and measurement unit and take the validation test.

• Submit the data organization project and take the validation test.

It is essential that students opting for the single assessment reserve the ENTIRE DAY of the final assessment, June 8, 2027, or June 10, 2027, as applicable, to have enough time to complete all the assessments that will constitute their assessment evidence. Under the same conditions as students in the continuous assessment program, students opting for a single assessment to participate in the resit exam must have been previously assessed in a set of activities whose weight is equivalent to at least two-thirds of the total grade for the subject, and the weighted average grade (block progress and final exam) has to be 3.5 or higher. The resit exam will be held on the same day (June 22, 2027 or June 17, 2027, as applicable).

The grade for the geometry and measurement and data organization blocks will be that of the corresponding validation exam. The grade for the number and proportionality block will be that of the number and proportionality test. The weighting of the assessment of the different blocks and the final exam (or, where applicable, the resit exam), and the calculation of the final course grade are the same for all students in the course, even those who have opted for a single assessment.

The other considerations regarding assessment also apply to both students in the continuous assessment program and those in the single assessment program.

ATTENTION NOTE FOR STUDENTS WHO DID NOT PASS THE COURSE IN PREVIOUS ACADEMIC YEARS:

Starting in the 2023-24 academic year, THERE IS NO FINAL EXAM for this subject. Therefore, those who enroll for the second time may choose between continuous assessment or a single assessment. In both cases, the attendance requirements are the same as for all other students enrolled in the subject.

Therefore, we recommend that students repeating the subject ensure they have the time to attend regularly, if necessary, avoid enrolling in other subjects in other years that are taught on the same day of the week at the same time.

NOTE: To pass this subject, it is necessary to demonstrate good general communicative competence, both orally and in writing, and a good command of the language(s) of instruction listed in the course syllabus. In all activities (individual and group), linguistic accuracy, writing style, and formal presentation will be taken into account. Students must be able to express themselves fluently and correctly and demonstrate a high level of comprehension of academic texts. An activity may be returned (not graded) or failed if it is deemed not to meet these requirements.