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The teaching of mathematics should be done according to its role and importance in the development of society and science. Creativity is appreciated as a generating feature of progress. The alert rhythm of development and competition in all areas of activity requires us to think fast and well. The development of science, technology and culture is largely conditioned by the creative capacity of people.

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I use   strategies and collaborative  activitie different with my pupils. I are  agree with the idea presented in the video and that we can, only  in this way,  address the diversity of learners in the classroom.
When my pupils   work together  find  out of in the group there are   mixed abilities, and  they accept the ideas of each member of the group, and all collaborate with enthusiasm

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I ask my students sometimes to prepare a new lesson for classmates

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I love it when students explain to each other what we are working on. They use their vocabulary, their strategies that colleagues perceive. It is very important this collaborative work, among the students, to share among them, to discuss, to present their way of thinking.

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Collaboration is essential in Maths, Physics and all science fields.
I do teach my students that, nowadays, nobody could rallistically live on his own and nobody could survive on an isolated island like Robinson Crusoe.
All the big scientific discoveries are lead by team of people. Even Fermi, Einstain, Tesla, etc couldn't have been able to achieve the results they had on their own.
The biggest example I bring them is the Apollo missions and all the tech consequences we all had from that. It has been evaluated that more tha 30.000 patents find their origin in the run to the space of the sixties.

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I try to "push" students to collaborate very often, both in pairs or in small groups for structured activities. I've noticed they tend to stay with same people every time (as children do), but they are usually positive and including. Unfortunately many times shy or untalented students do not speak or participate really.

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IN THIS MOMENT WE ARE TRYING TO BUIL INSTRUMENTS BUT IT IS REALLY HARD TO TACH INN THIS WAY EXSPECIALY WHEN THEY AREN'T USE TO IT

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We usually work in small groups or in pairs.

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I often use the jig-saw, cooperative learning.

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I sometimes use cooperative learning, dividing students in groups. During this activity I observe their behavior, if they partecipate, how they work in group and I've noticed that they are more motivated: even shy students participate and the less good at math try to learn because they feel responsible to the group when they shall report. Applying  the cooperative learning,  students are aware of the importance of the contribution of each to the common work and thus develops mutual respect and team spirit. In the meantime the social and emotional aspects of learning  are considered too.

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I usually try to use cooperative learning and peer tutoring in my class. Sometimes it works, even if for my students it's better to work alone. I'm going to try more, because I really belive in cooperative learning.

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Although i currently work in highschool and the curriculum is a bit difficult to be followed on time i try ever now and then to work in groups. I found out that the jigsaw technique seems to work best. By now my students seem to be more openminded to work in groups so last week i just asked them to form groups so that in each group they can have one student that they can take some knowledge from and another that they can give. Suprisingly they formed very good groups. And the results were very good.

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This video made me think a lot about collaboration among students in my Maths class. Sometimes they work in pairs and they help each other, but not all of them.

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In my classes I often try to make students work in couples or in small groups. Sometimes they argue a lot, other times there are students that arn't able to be silent, stay still or pay attention for enough time. They work better alone cause in that way they have only to respect their own time.

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In my classroom I use peer tutoring and cooperative learnigs, very often Jigsaw's strategy because I think it is a great way to develop cognitive and social skills in pupils. It is also a great way to bring out the talents and inclinations of students. However, I believe that the teacher must give very precise instructions and properly divide up the roles. Classes should then be trained in the use of such strategies, not in all situations good results are achieved. We must persevere.

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I like to do a lot of think pair shares or groups of 4 solving problems. I also like to have those groups come up and share/present for the class how they solved the problem. I think collaboration is a great way to address diversity of learners but I don’t agree that is the only way and think that teachers do a lot of differentiation in the way they teach by pulling out different groups, offering choice in tasks, giving a variety of levels in tasks. I really liked the idea of students observing the discussion and giving feedback on the discussion and not just on the math they observed.

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In class , i use work on groups .

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My students like to work in pairs. They also like to work in smaller groups, especially when they play math games and when they practice for exam. On this course I have find out about Jigsaw's method. I like it very much and I'll definitely use it in my class.

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I usually try to use cooperative work in my classes and it seems to me that my students perform better and get higher scores when working collaboratively than when working alone. Moreover, cooperation is also vital also for weak students who seem to improve amazingly when working in diverse groups.Pair work, group work, peer to peer, cooperative lerning, help students discuss, clarify, evaluate the others' ideas  enlarge their minds .

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I frequently use work in pair or small groups and peer tutoring because I think the children can learn from each other and build social skills. Our motto is "Two heads are better than one".

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Usually my students work in pairs. Sometimes in certain topics ask them to work in groups of 3 ou 4. Each group search or investigate subtopics and presents the result to the entire class. My difficulty is to get each group to listen carefully and discuss the work of the other group once they think that after they have done their part, they do not need to hear the others!!

At this stage I am trying to flipping classroom… I have already assembled various documentation on the subject and the small experiences have resulted well!!Students work collaboratively, exchange ideas and discuss them.

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I agree with the idea presented in the video that by getting students to collaborate we can address the diversity of learners in the classroom; infact in my experience of collaborative activities I've see that it's very fertile mix the ideas and the abilities of different students.
I've used work in group or work in pair.

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Students like work together and help each other. They aren't always capable to collaborate but they learn how to do it day after day, trying to do it. It is a fundamental skill we have to help to develop in our students.

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My students like to work in pairs, collaborating and sharing knowledge. Before beginning each activity it is very important to clearly inform them about the rules and objectives of the work they have to develop.

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My students work in small teams so that they can collaborate, exchange ideas and interact. They have roles and everyboby is responsible for something

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I use to work on small groups and I like to work with tools which allow us to share knowledge and doubts like Google tools for educations

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Tiziana Panaro, Italy. I absolutely agree with the idea presented in the video.  In fact, when working in teams, learners get  higher levels of thinking, they improve their critical thinking they preserve information for longer  than students working individually.  Pair work, group work, peer to peer help students discuss, clarify ideas, evaluate the others' ideas,  enlarge their minds and horizons.I usually try to use cooperative work in my classes and it seems to me that my students perform better and get higher scores when working collaboratively than when working alone. Moreover, cooperation is also vital also for weak students who seem to improve amazingly when working in diverse groups.

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Tiziana Panaro, Italy. I absolutely agree with the idea presented in the video.  In fact, when working in teams, learners get  higher levels of thinking, they improve their critical thinking they preserve information for longer  than students working individually.  Pair work, group work, peer to peer help students discuss, clarify ideas, evaluate the others' ideas,  enlarge their minds and horizons.I usually try to use cooperative work in my classes and it seems to me that my students perform better and get higher scores when working collaboratively than when working alone. Moreover, cooperation is also vital also for weak students who seem to improve amazingly when working in diverse groups.

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in class, I use (rarely) work on groups.
the most common learning methods are: bunch method, gallery tour method, answer-ask-throw method.

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I use team work, and peer teaching, and learning through games.
It is not always easy to work with a wide variety of learners. For example, there are pupils who don`t like working or studying in groups(introverted ones), there are pupils with autism, or Down or similar difficulties, who do not want to participate in such activities.

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The European Union has set five ambitious objectives on employment, innovation, education, social inclusion and climate / energy, to be achieved by 2020. The School has a fundamental role in promoting multilingualism and the development of skills that help students belong and participate in society. Students should have an open mind to lead the initiatives to facilitate their employability, promotion of the economy and the regiment by values ​​that lead to sustainable growth and peace.

It is necessary to develop creativity, communication skills, collaboration, digital skills, critical thinking and personal and social responsibility. The development of these skills can be achieved in various ways among which fits the job based on collaborative projects involving schools from different parts of the world, stimulating the development of an awareness of "world citizenship".

Educational experiences that are active, social, contextual, engaging, and student-owned lead to deeper learning. The benefits of collaborative learning include:

·       Development of higher-level thinking, oral communication, self-management, and leadership skills.

·       Promotion of student-faculty interaction.

·       Increase in student retention, self-esteem, and responsibility.

·       Exposure to and an increase in understanding of diverse perspectives.

·       Preparation for real life social and employment situations.

In my classes I have all kinds of students, with very different Math skills. So I try to use that as positive factor and I always ask students to help and oversee their table colleague.

Sometimes I do work in pairs or small group to put in practice collaborative learning. I think the most important is to clearly inform the students about the rules and objectives of the work and what is expected.

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I agree with the idea presented in the video that only by getting students to collaborate we can address the diversity of learners in the classroom. Students should practice team working as often many problems are presented. Teachers can help them in this way by giving them roles. By making teams with mixed abilities, students engage better ay the learning process.

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When I was a child, I used to work in little group and I noticed that is the best way to develop some social skills: ability to convince the others about my personal ideas, discover other point of view like philosophy will helped me. In my classroom I love to propose this modality to work and the kids also love it. They can experience competition in a positive way; they learn to listen and to teach. When a child has already learnt she/he can also teach and then the knowledge is for ever!

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I usually ask to my student to solv problems cooperatively. I prefer small Group .
I usually decide the member in the Group to have balancing Group

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Romania
Students like working  differently, and it develops  flexibility, and  the  skills  needed in NEW FIELDS, NEW EXPERIENCES, NEW PERSONS.

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I use to work in pairs. The students have to work together for solutions or they have to check each other's solutions. I let them make pairs, but I usually put them in pairs: sometimes I put students with same skills, the other times I choose them with different skills.

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Students like work together and help each other. They aren't always capable to collaborate but they learn how to do it day after day, trying to do it. It is a fundamental skill we have to help to develop in our students.

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When I teach coordinate system, before any lesson, my students play the game "battleship" in pairs. they like it very much and later, we compare it to coordinate system. I also talk about chess in that context.

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the main objective for me is listening to each other and respecting others' ideas

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the main objective for me is listening to each other and respecting others' ideas

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the main objective for me is listening to each other and respecting others' ideas

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Module 4: Collaboration in your Maths classroom 

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Module 4: Collaboration in your Maths classroom 

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Zoi, Greece
Children in groups of four in kindergarten work together to solve a problem. They talk about, think about possible solutions and help each other. In the end, they show the results to the rest of the teams.

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Before starting a collaborative activity It is important to develope social skills. It's hard for me to understand to my pupils the rules of good behavior. Anyway I don't give up encouraging them to work in groups.  They feel envolved in activities and responsible. The main objective for me is listening to each other and respecting others' ideas

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I sometimes ask students to work in pairs to solve the given problem together. I believe that working in pairs can have some benefit for the students as they can learn from each other too. The problem might occur when one of the students is a dominate one and he/she does not let the other work. It can be eliminated if we change pairs often, so put the dominant ones together.

Unfortunately, group or project work does not work well in my teaching environment as we do not have much time to deal with the core curriculum, but I would like to try it.

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Most frequently I use working in pairs. Students can ask each
other for help and explanations. They can check each other's
solutions. Sometimes students want to
play competitive games in teams, they like to play Kahoot and Jeopardy in groups to revise for the test.

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I try to make my students work collaboratively as much as possible. Sometimes in oral activities they prepare a small presentation on the topic that we are dealing with in group and they exchange it with the other groups. At other times they work in pairs and are rotating the partner.
I believe that collaborative work is very important because some students can learn from the ideas of others. Also, in real life, teamwork is more and more necessary and we must prepare our students for it.
This video is a good example of how to work with children collaboratively

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I think this video was a great way of demonstrating effective co-operation learning. I also liked the way all children were involved either through the discussion or through the peer assessment. I hope to try and incorporate collaborative learning in my class but think it will require a lot of input to encourage the expected behaviours to ensure it is an effective task.

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in my school we have the math club where students go to practice to some math competicions like

Math Olympiads  (regional, national and internacional competicion) ,  mathematical kangaroo  and others national competicions.
In my classroom ido group work, so they have to colaborate and discuss the problems.

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I think cooperative learning is fundamental and has to be taught since Kindergarten. I try every day with my young learners.

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Every year I organize ~The Math Club~ in my school. It is an after school activity ( I do not get paid to do it, but I do it because my students love to solve different types of problems without the pressure of time). I try to teach my students to socialize , to work as a team , to discover through discussions the way they can solve a problem/exercise.

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This teacher is a great model for me!
I'd like creating this atmosphere in my classroom, but unfortunately I can affirm that I never had the same wonderful results.
My students frequently work in small group. I give them a task (last day, for ex., they had to divide a piece of paper in 2, 4, 8, 16 equal parts without using ruler or pencil and cut out only the fractional unit). Everyone has a special role: time keeper, voice keeper, materials keeper, spokeperson, but everyone has to collaborate to solve the problem. The problem is that they speak loudly and that there is always the ones who like the subject that carry out the task. Anyway I noticed that they are more involved in the task.
When they have finished, they have to explain to their schoolmates what they have done.
We have better results when they have to create a mind map at the end of a specific topic.
I won't give up!

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We use cooperative learning, EAS methodology

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This teacher sets an example at least for me. I wish I could have this teaching environment both in terms of setting and atmosphere. He has achieved what every teacher dreams of: a group collaborating, following rules and thinking for themselves in a really nice teaching setting. I myself iivest a lot of my time, energy and space at the beginning of the year in trying to cement the bonds between my students but I can't say I am always successful. It works with some kids but not with all of them. From my personal experience, when I assign a task in maths to my students to work on it as a team, it is always the ones who like the subject that really care to carry out the task. Of course, there are those who are struggling and some of my students try to support them and illustrate how they have been thinking but there is always a disruptive minority - at least in some schools - that can blow up the whole set up in minutes. But I certainly agree that when you achieve to inspire your students to work as a team the effects are by far more lasting and the whole process of learning becomes so much more enjoyable.

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I liked this video a lot! I have never have a lesson like this one in my life (either as a student or as a teacher)! It is a great lesson and it showed me how to teach Maths as a social Activity. Unfortunatly, in may ordinary work I didn't work as Mr. Bowman, but I will certainly try. In my classroom I give my students to work in groups or in pairs, but they do most of the work at home and only present us their work in class and we all discuss it.

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Working in teams is a skill children have to develope in order to become good citizens. School teahes this skill and Maths improve it by offering the methods to solve the present iconic and the future true problems in their lifes.

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România
For collaborative activities most of the time they apply random grouping using various ways to play cards, geometric figures, etc. Considering that random grouping makes my students work with more colleagues with different personalities and so we prepare to manage life when we can not always choose our teammates.

In this way we acquire social skills by learning to be tolerant, respecting and valuing the differences between them.

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Yes, I use cooperative learning in my classroom.
Sometimes there are difficulties.
Some of the children have more abilities.

If so, I direct them to different jobs.
But it usually gets better.They are trying to complete themselves. They learn from each other. They help. Children learn better with their peers.

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I use to create interesting and useful Mind maps for students working in groups at the end of a chapter: their work is to create original mind maps and to present them to the other colleagues. Every one on a group must have hid responsibility for the success of their work.

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I usually put my students to work in groups to do some exercise, solve problems and so on. They collaborate quite well, even though I noticed that some of them tend to be sidetracked and start chatting around (more the males than the females and that is quite astonishing).

Collaborative learning can address the diversity of learners, but sometimes it ends up with the most skilled doing the work and the others just sitting there and waiting for the answer to be explained to them.

I'm not still sure if it's better for them to work in same-level groups or mixed level groups.

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I divide my students i small groups(3-4 members). Often I give them a group task to create 3 math problems, after that I exchange tasks and ask other group to solve that math problems. When students work in groups, sometime members of the same group have different strategy for solving tasks and to get the right answers I must make effective questions overcome disagreements.

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I divide my students into small groups on leeson. Groups usually contains from 4 to 6 students. It helps students to understand the theme better and to have better skills in solving problems and doing exercises.

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The methodologies I use in my classes are: cooperative learning and PBL. Moreover, participation in competitions facilitates learning and achievement not only of mathematical but also transversal competences. In this way, students develop their curiosity and learn to have fun.

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This is very interesting idea. I often devide class in groups. Sometimes I choose members of a group by chance, sometimes I carefully pick who will work with whom, depending on assignment. From the first day I tend to develop social skills in my students, teach them to accept differences and tolerate difficulties that some children have. Some can really motivate others. I like this idea of nurishing private thinking time.

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Students interact and collaborate continuously with each other and with professors through google drives and e-learnig platforms like Edmodo. Also often in the classroom we use the 6 hats methodology to think that allows teamwork to improve their performance.

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Kids love working in groups. I frequently work with groups of 4 or 5 members. Sometimes they divide the work to do and the collaboration doesn´t work in the way I want. So I have to think how to develop social skills in the students so that they work in a collaborative way. I´ve read about giving each member a function like informer, solver, writer, etc. I think that could be good but I haven´t tried it yet.

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I am practicing STEM in my class. The aim in STEM education is students who question, research and produce. STEM activities are carried out by group workshops and communication cooperation skills are expected to be demonstrated.

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When students are put together to work, one of the goals is that those who are easier to help others who do it harder, only the latter sometimes take advantage of the fact that the others work and try to escape from accomplishment of tasks.

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I usually work with my students in small teams which consist of 4 to 6 members. Each team is as diverse as possible in terms of gender, color, race, socioeconomic background and ability -—like the groups are in the real-world settings. Students are supposed to collaborate, exchange ideas, discuss, listen, respect the different views and help each other to achieve a common goal. The use of the web2 toolbox (blogs, video conference, social media, cloud computing) is an excellent alternative to promote such an authentic interaction among team members and teams inside the classroom and a perfect chance to come together with students from other schools or even other countries (e.g. eTwinning) as well. However, social interaction is difficult to be monitored and assessed. Some members work harder than others, some are more introvert than others and some are more supportive to their classmates while others are more competitive.

I don’t fully agree with the notion that we can overcome the diversity of learners “only” through collaboration. Personalizing learning is a valuable alternative.

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I too think math as a social activity, and belivies taking time to impart the skills required for cooperative learning can lead to calmer classrooms and more rigorous studies.
I also believe that the social skills and more importantilly, students building social skills to help them work together, to talk about math, to explain their thinking, to offer help when another students is struggling, and just as importantilly for that pupil to be able to accept help.

That's a really difficult part of our job.

All of those skills are part of the social bargaining that We're working in, and without them, I don't know how you could teach a classroom with such a broad range of abilities.

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I use cooperative learning during my lessons and I organize laboratories in order to bring students to collaborate. I usually use PC

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"Two heads are better than one!"
I I think that collaborative strategies and activities must be included in a Maths classroom in order to develop students' ability to think to a high level and preserve information for a longer time.
Our society is constantly and quickly transformed and put so wide and complex global problems that just the group and not the individual can handle and solve.
I use cooperative learning and peer to peer in  my Maths classroom.
Students are the protagonists of learning and working in groups of two-four people develop social skills like speaking in a low voice, respecting others' ideas, expressing their opinions clearly, discussing, reflecting, sharing. I places myself as a coordinator, facilitator of learning, setting work times, roles and tasks.

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A good deal of my job is based on collaboration. I always let my students exercise in groups, since this helps them socialise their difficulty and try to overcome it. Peers' strategies are often more effective than mine, as they are quite concrete and pragmatic.
Such remarks especially hold for research task (how to solve a problem together) and computer-based task, where everybody's contribution in useful to optimise outputs. I believe co-operative learning and shared responsibilities are extremely motivating for students, although they need some time to learn how to interact with one another

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A good deal of my job is based on collaboration. I always let students exercise in groups, since this help them socialise their difficulty and try to overcome them autonomously. Peers' strategies are often more efficient than mine, as they feature a concrete and pragmatic approach.
Such remarks holds especially for research tasks and computer-based works, where everybody's contribution is useful to optimise results. I believe shared responsibility is extremely motivating for students, although they need some time to learn how to interact with one another

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In my case I cannot use collaboration because I only have one student at once (I give private lessons of Math and Physics). But I think that it is interesting to develop their discussion skills, because they have to learn to defend their ideas with facts.

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This year in my classes of the 13 level grade I've used this pair activity:

STUDENT A:
- chooces an analitic expression of a function on a page of a book, without communicate it to student B;
-  communicates the complete classification this fuction to student B using English word.
STUDENT B:
- writes the analitic expression of the function related to the classification he listened from student A.

After students change their roles as Student A and Student B.

Useful resources are:
- https://eal.britishcouncil.org/teachers/great-ideas-collaborative-activities
- https://www.teachthought.com/pedagogy/20-collaborative-learning-tips-and-strategies/

Thank you Mario from Italy because he rimind me the 6 thinking hats created by Edward de Bono.

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Hi! I believe collaborative activities can work in class very well in primary school. For me i can see
collaborative learning happening in the context of a written project or a presentation given to
small groups of students to prepare. I also think that sometimes cooperative learning can be
achieved through questions in class like "how do we proceed from that" or "is it right to do
this or that" etc where discussion can occur between students - teacher or between students
themselves. In some occasions students might offer a better way to answer their peers than
the teacher.

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I try to get everyone to collaborate, interact with each other

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In my classes, the diversity of the learning - educational needs is rather very obvious. The collaboration with all class is difficult. I always devide in groups of two or three students and at first we try to collborate in small groups and at the end we always try to make a creation collaborating the whole class. It's not always a success story but I try everyone to give something in the class and from time to time we could become engaged to teamwork

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I am a strong believer in collaboration and emphasise it a lot at school. I usually pair up students or group them according to different abilities. I believe that students can help each other by giving them clear instructions and helping them learn. I find it difficult handling students who tend to clash with everyone and create friction in that group.

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Collaborative learning is a way that students always find fun to work with and understand whatever they are taught, since they learn from each other, having their teacher as a coordinator not an adept. However, if the foundations of this method are not well established from the beginning, mixed abilities could possibly be an obstacle. When the students realise that mixed abilities offer them the chance to collaborate more effectivelly, learning in teams seems to be the only way.

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in class use a lot of group work becouse  the children cooperate   with each -other

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I usually work by PBL method, flipped classroom in groups. Students are more interested and motivated to work.

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Classmates are the most valuable resource to ensure learning. From the first day, it is necessary to work on collaboration, cooperation and climate in the classroom. I use collaborative work strategies in pairs or small groups. It is important establish group goals,  keep groups mid-sized,
flexible group norms, promote open communication. While
for larger tasks, I create group roles. Learning is not a lonely process, but is deeply influenced by relationships and stimuli. I use customized interventions ( every student has their own style of learning) such as logical-visual strategies, maps, charts, and visual aids.
Assignments can include laboratory work, study teams, debates, writing projects, problem solving, and collaborative writing.   I use free savvy tools for online collaboration.
It is important to develop a positive self-image and therefore good levels of self-esteem and self-efficacy.

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I use mostly peer tutoring in my Maths classes because children work and learn better together. I use collaborative activities because project based working is a must have in my class too.

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I use cooperative learning during my lessons. Most students recognize learning improvement with the CL method. Some students show disorientation to this methodology because they are not used to working in groups.
Students often during the lessons get distracted. However, I do not think collaboration is the only way to overcome diversity.
I think that individual work is very important.

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Often i use the cooperative learning and peer tutoring in my classroom. I think that a good team is composed by a leader and 2/3 students. They can  learn better by themselves than with a teacher.

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In math and science I organize laboratories in order to bring students to collaborate. My goals are create situation of exchange of idea, explanation of math or science between peer. It's a bit hard to consider all different skill of students, sometime in a group it's a good idea put students with different level of abilities and knowleges. I will improve the organization of groups and targets to follow.

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I assign homework at class students trough the school e-learning platform. They can work together in groups (physical or virtual), they can exchange ideas and suggestions. At the end, they upload their work. I can see if they have obtained good results or if they have copy each other only.

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Learning is social activity.

Math is not different. If students learn to listen they will be able to collaborate and make connections and have conversations.

I'm using Microsoft teams for collaboration for some topics.

When students are working in small groups (in pairs) they can share ideas and learn from one another. But this kind of work is time consuming I think if we start using it from small ages and all teachers build on this foundation time will not be a question.

I still have students who know the answer(s) of the  problem(s) but they have difficulty to express himself mathematically I think this is because students have not using mathematics language in my country. If we collaborate and free students from guilty of eventually making mistakes which are corrected by students not teacher by discussion, we are on the right way.

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Encourage students’ collaboration is very important. I see that they usually help each other if they see someone stuck, unable to understand something.  There is a situation in which they are not so happy of helping, and it is when they think that their mates don’t put enough effort in studying the topic.
I organize some activity in which I distribute different task to students according to their ability. For instance, when I teach geometry in first year of secondary school, the first important topic is Triangle Congruence Criteria; I soon ask them to prove simple theorems using these criteria. It’s really difficult for many of them, so I form groups of four and I assign the task in this way:

-      one student reads the theorem

-      one draws the picture of the figure involved

-      one writes hypothesis and thesis

-              one starts proving the theorem asking other members of the group for help.