Mathigon is part interactive textbook and part virtual personal tutor. Using cutting-edge technology and an innovative new curriculum, we want to make learning mathematics more active, personalised and fun.

The Virtual Math World 
“The virtual math lab is a project that allows students to visualize complex mathematical concepts through accessible and convenient software”

The Programme for International Student Assessment (PISA) is a triennial international survey which aims to evaluate education systems worldwide by testing the skills and knowledge of 15-year-old students. To date, students representing more than 70 economies have participated in the assessment.

The most recently published results are from the assessment in 2012.

Around 510,000 students in 65 economies took part in the PISA 2012 assessment of reading, mathematics and science representing about 28 million 15-year-olds globally. Of those economies, 44 took part in an assessment of creative problem solving and 18 in an assessment of financial literacy.

PISA is unique because it develops tests which are not directly linked to the school curriculum. The tests are designed to assess to what extent students at the end of compulsory education, can apply their knowledge to real-life situations and be equipped for full participation in society. The information collected through background questionnaires also provides context which can help analysts interpret the results.

In addition, given PISA is an ongoing triennial survey, countries and economies participating in successive surveys can compare their students’ performance over time and assess the impact of education policy decisions.

TED is an international platform for teachers to create their own interactive lessons, to help curious students around the globe bring TED to their schools and gain presentation literacy skills, to celebrat innovative leadership within TED-Ed’s global network of over 250,000 teachers.

At Desmos, mission is to help every student learn math and love learning math. With that in mind, Desmos assembled a collection of unique and engaging digital activities, which are free for teachers and  students.

We provide a range of professional development supports to approximately 6,000 Post-Primary teachers of mathematics. Supports include the facilitation of workshops, the development of resources to support both teachers and students, the provision of modular courses in ICT and content and the creation and maintenance of web based support.

Purplemath’s algebra lessons are written with the student in mind. These lessons emphasize the practicalities rather than the technicalities, demonstrating dependable techniques, warning of likely “trick” questions, and pointing out common mistakes. The lessons are cross-referenced to help you find related material, and a “Search free lessons” link is provided above the article title on every page to aid you in finding the math help you’re looking for.

Examples of real life math problems from different areas.

The community for science education in Europe.

The mission of Mathhelp is to break down the “math wall” that holds so many students back from achieving the success they deserve.

Why do students struggle in math?  Because they simply don’t receive the individualized instruction that they need.  By providing every student with a personal math teacher, we give students the opportunity to conquer math, to build confidence in themselves, to continue their education, and to pursue their dreams.

This site contains curricular resources developed through the Centre for Education in Mathematics and Computing (CEMC) by experienced teachers in partnership with faculty members and multimedia developers from the University of Waterloo. The materials contain lessons, interactive worksheets, and unlimited opportunity for practice and to receive feedback. The courseware is free to use and does not require registration to access.

Only for Grade 12. Advanced Functions and Pre – calculus, Calculus an Vectors.


Аpplication of ICT in teaching math

Youtube channel assignments in mathematics from a university professor

This is a blog where a teacher has written some notes about math lessons and has given different interesting math task and problems for the students to make them more interested in math lessons. There are also links to other web sites where students can find similar problems and exercises and there is an option for comments to be put.

This is a site with tutorials where concrete given math problems from different math disciplines are solved. The examples are suitable for the students to learn how to solve other similar math tasks. The examples and the way they are solved are exellent for the students who has missed the same lectures in the classes.

Not all math disciplines are covered.

This is for supporting teachers in prepareing lectures plans. There are also aditional matherials with math challenges and their answers for the students.  Only for teachers in primary schools, but the idea is good for making such thing about teachers in secondary schools. Not all of the materials are with open access.


Khan Academy is an online learning platform that provides teachers, students and parents with wide variety of educational resources.
The most of resources are focused on calculus and STEM-related topics like chemistry, biology, physics, electrical engineering, and astronomy.

Teachers can search for a suitable topics in the following categories:
– Math by subject
– Math by grade
– Science & engineering
– Computing
– Arts & humanities
– Economics & finance
– Test prep

Every category contains multiple subcategories with lessons made up of instructional videos, interactive practice problems and quizzes. The Khan Academy enables teachers to track students’ progress and give feedback based on students’ activity.

On Khan Academy students can get support in what they are learning in school. Moreover, they can also start learning something new, completely not related to the curriculum. The platform allows to learn in one’s own pace.

The website can be accessed from a computer using browser or via the application for mobile devices.
Khan Acedemy’s resources are translated in more than 36 languages.

Illustrative Mathematics is a discerning community of educators dedicated to the coherent learning of mathematics. Founded in 2011 at the University of Arizona, we have operated since 2013 as an independent 501(c)3 non-profit corporation. Illustrative Mathematics collaborate at, sharing carefully vetted resources for teachers and teacher leaders to give our children an understanding of mathematics and skill in using it. We provide expert guidance to states, districts, curriculum writers, and assessment writers working to improve mathematics education.

We can find online collections of real-world math activities, math activities with a specific real-life focus (including natural disasters), online data sources, portals for joining or launching collaborative math and science projects, and more. The real-world resources assembled here are sure to excite teachers and students alike. – See more at:

Teaching Channel. Engage in mathematics throughreal-world scenarios


Real World Math is a collection of free math activities for Google Earth designed for students and educators. Mathematics is much more than a set  of problems in a textbook.  In the virtual world of Google Earth, concepts and challenges can be presented in a meaningful way that portray the usefulness of the ideas. Students will find downloads for over 30 activities, videos, and instructional tutorials for Google Earth & SketchUp.  The goal is to take the math you learned in class and develop it further with problem solving activities.  This is a modern approach to mathematics that is student-centered and task-oriented; it embraces active learning, constructivism, and project-based activities, while remaining true to the standards.  Higher level thinking skills, such as analysis, synthesis, and creativity are encouraged as well as technology skills and social learning.


The video presents a maths lesson, made using traditional methods, like the blackboard and new technologies, like software Geogebra. The theorem proved is the most important topic for students of the 5th class who have studied the Integral calculus. The video was made by the students of the  5th year from Oreste Del Prete Italia.

The quotient of a function at the point c and increase h. This work has made by our colleague from Oreste Del Prete Italy.

Fundamentals trigonometrics functions on geogebra chanel.

Italian good practices. To view this best practice, you need to download the program CDF player. Below you find the link to download the CDF Player . Math teacher from School Oreste Del Prete Italy  has made this work for his students.


Summer School of the Cyprus Mathematical Society on Problem Solving

Each year the Cyprus Mathematical Society offers a summer school of one week duration . It aims at enriching the mathematical content of pupils of ages from 10 to 16 years old and at improving their skills in the area, particularly in problem solving. The programme of the school covers lessons for strengthening and deepening mathematical knowledge and skills in various areas of school mathematics in combination with the provision of various pleasurable activities for developing positive attitudes towards the subject.

Among the courses that are offered is a course on Problem Solving aiming at
• The development of appropriate inquiry techniques sustaining the solution of a problem.
• The development of critical thinking skills ensuring or supporting the process of problem solving.
• The recognition of patterns, relationships or other aspects that is helpful in the process.
• The communication and presentation of the ideas for solving a problem in a clear and exact language so that they become comprehensible to the others.
• The drawing of conclusions and the development of proofs consistent with the findings and data related to the problem.
• The consideration of various strategies enabling in the solution of a problem.

The course is based on the ideas developed in the Polya’s “How to Solve it”. And it provides various sets of problems for solution.

Further information on the Summer School can be found at the webpage of the Cyprus Mathematical Society.

  • The course is offered to an audience that combines a range of abilities (in spite of the fact that it is required that pupils attending it should have good grades in mathematics)
    The teachers have limited experience in the area.
  • The course covers a broad range of problems including amusing and real life ones as well as riddles and puzzles, thus creating interest.
    The course provides a systematic approach which usually is neglected in a regular class, where the emphasis is on learning of algorithmic and routine methods.


Student Institute of Mathematics and Informatics (УчИМИ) was established in September 2000, which was declared  by UNESCO for  World Year of Mathematics. The founders of (УчИМИ) are the Union of Mathematicians in Bulgaria (UMB) “Eureka” Foundation, International Foundation  “Saint saint Cyril and Methodius” and the Institute of Mathematics and Informatics of the Bulgarian Academy of Sciences (BAS).

Each year (УчИМИ)  sends an invitation for  participation  in its activities to students from 8 to 12th grade throughout the country.

Every year for six weeks an international summer research school for students (RSI) holds at Massachusetts Institute of Technology (MIT) in the USA.Students  from all continents participate in it.

(УчИМИ) has two competition sessions – Student conference in January and Student Section in the Framework of the annual Spring conference of UBM in April. The deadline for sending projects for student conference is the beginning of December, and for the student  section – at the beginning of  March. Participation in the two competition sessions is independent.

The authors of the best projects in the Student Section are invited to participate in a three-week summer research SCHOOL in July and August and (УчИМИ)  covers their expenses.  The summer school is held two weeks in  Varna and 1 week in the  mountain in Usana. For 21 days the participants at the  school combine work and entertainment. They attend educational lectures  with eminent professors of mathematics and informatics every day for 4-5 hours. They have the possibility to  communicate with  professors and researchers dealing with actual problems of science. During the school each participant must prepare and defend a project in mathematics or informatics. All these activities are accompanied with sunbathing on  the beach in Varna and on the Bulgarian Black Sea coast , excursions and hiking tours in the surroundings  of Usana.