Mathematics and Ecology

Author: Roumiana Anguelova

Two classes 10A and 10B from February 2020 worked on the topic “Mathematics and Ecology”. The students were divided into small study groups ( 3, 4 or 5 students):

  • Fuel Analyzers;
  • Heating Analyzers;
  • Water Pollution Analyzers;
  • Аir Pollution Analyzers;
  • Soil Contamination Analyzers;
  • Acid Rain Analyzers;
  • Specialist car catalysts;
  • Chemists;
  • Pulmonary Disease Experts.

The mathematics teacher set up tasks that had to be solved with graphs, mathematical models, working with nano-dimensional units. The chemistry teacher led the teams. The online event was held as a binary lesson on 29th of April in Microsoft Teams Office 365.

Each group of analysts was working on a problem related to the causes of disturbance of ecological balance and its consequences. Each team developed a presentation or movie, outlining the measures. The groups are currently continuing their work online.

Working in a small study and research groups helps to:

  • encouraging students to improve the quality of knowledge, skills and habits;
  • stimulation and development of thinking, creative abilities for the formation of positive STEM motivation and cognitive interests;
  • implementation of differentiation and individualization of training;
  • formation of learning and cognitive skills and habits;
  • stimulating competition between students and groups;
  • formation of skills for organization and coordination of joint actions;
  • development of self-control and self-assessment in students;
  • increasing the motivation of students for responsible learning activities;
  • improving the intra-collective relations, skills and habits group activity.

We consider the following stages in the work of small study and research groups:

  • The motivation for participation: various activities were carried out that provoke interest, many important goals for each student were specified;
  • Formation of the groups: the groups were formed, their activity started;
  • Distribution of responsibilities: the goals and roles in the group were clarified;
  • Guidance: unity was achieved for the way the group worked, it is specified how the communication with the mentor/mentors should be carried out;
  • Activities: the group worked and solved its specific research tasks. The development of relations in the group, finding common features and shared views strengthened the cohesion of the group.
  • Presentation of the results: the group presented the results of its work – presentations, boards, models, dynamic models;
  • Evaluation of achievements: evaluation criteria was developed. The groups evaluated the individual reports, presentations and presentations of the other groups. Teachers evaluated the reports and projects of each group. A comprehensive review of the results of the work was made. It was assessed how much the individual student contributed to the work of the group.


The binary lesson was attended by 52 students, 12 working groups. The lesson was led by the mathematics teacher Rоumiana Anguelova and the chemistry teacher Stanislava Boyadzhieva. Deputy principals Yordanov and Kumanova, teachers and parents took part in the binary lesson as well.
The duration was 2 school hours.

Our planet Earth is gasping! Stop the pollution! Let’s be disciplined! To be responsible !!!

Visit our Youtube channel!

Invitation for Online lesson in Microsoft Teams
Acid rain

The event took place with high engagement of all students. Everyone was satisfied.

Published by

roumianaanguelova

I am a mathematics and informatics teacher in the Vocational School of Economics and Management, Pazardzhik, Bulgaria and also mathematician in the Institute of Mathematics and Informatics in the Bulgarian Academy of Sciences. I am also the Head of the Club for Extracurricular work "One and a half Percent". I am a STEAM Teacher! I work as Mascil multiplier at different levels: in my school, in my city and region, and аt national level. I have participated in several workshops on project Mascil, which gave me the opportunity to learn, to share ideas, approaches, experiences - to transform professional situations and real-life data in mathematical models. Within the MaSciL Project I developed the lesson "Maths Sweet" http://www.math.bas.bg/omi/mascil/task-mathsweets-bg.html I participated in: National Education Seminar, IMI-BAS, Sofia, 04.12.2015 with poster " Etudes with the Pick's Formula"; Annual Educational Conference, Sofia, 13-14.11.2015; Participation with Prize Excellent diploma of the conference "Dynamic Mathematics' with the performance" Mathematical dreams ", IMI-BAS, Sofia, 14.02.2015; National Scientix Conference, Sofia, 09.12.2014 with poster "Binary lessons as a pedagogical tehnologie"; National Education Seminar, IMI-BAS, Sofia, 08.12.2014 with article " The dialogues between Mathematics and Art"; National Education Seminar, IMI-BAS, Sofia, 17.12.2013 with article " The arbeloses "; National Education Seminar, IMI-BAS, Sofia, 19.12.2012 with article "From the wheel to the Kalofer lace"; International Scientific and Practical Conference KeyTTT, Stara Zagora, 22-24.09.2011 Pestalozzi Programme, Workshop DEMOCRACY IN BASIC EDUCATION, CoE 2013 1001-1004 FINLAND, 01 - 04.10.2013 Pestalozzi Programme, Workshop HOW TO DEVELOP INCLUSIVE SCHOOL CULTURE FOR SUPPORTING COOPERATION AND PARTICIPATION COMPETENCIES , CoE 2016 1024-1028 ESTONIA, 24 - 28.10.2016 I participated at HST 2015 CERN's program. Since 2013 I work on the project Scientix, and as a trainer of teachers I present the project, its activities and opportunities. I participated in the Second Scientix conference, Brussels, 2014, Workshop (SPW@FCL11) in the FCL, 18.03.2016. For me this participation is a significant inspiration for active work with my students! I fully completed Our Wonderful Universe Course, Progressing Technology-Enhanced Teaching (MENTEP), Mentoring in Schools, Opening Schools to STEM Careers, Our fragile Planet and Opening Minds to Stem Careers in MOOC. I participated in Summer School on Next-Lab Project, Marathon, Greece, 09.07-14.07.2017. I am fully committed to the idea of disseminating STEAM Learning within the project Scientix and Next-Lab! I am Scientix Ambassador for Bulgaria.

14 thoughts on “Mathematics and Ecology”

  1. One more good example where we can combine science /math with human influence on environment.Good work for your team Roumiana!

  2. The activity “Mathematics and ecology” is a perfect blend of the three sciences – Mathematics, Chemistry and Biology (Ecology) . At a time when the world is facing the great challenge of Covid – 19, the protection of the planet Earth is of particular importance. That’s why this activity is so important and useful. Especially, since even during a pandemic, students continue online research and collaboration. As a biology teacher, I would like to use this idea in the future in my classes.

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