Education is a crucial componenet of a prosperous life. There has been huge progress on education in the past couple of generations, but there is still a long way to go.

During My Perfect Country, we explored how Shanghai was approaching education. Here we take a closer look, and hear from some experts on the policy

How does the Chinese maths teaching function in the class?

By Zhenzhen Miao and David Reynolds

We would like to share with you some characteristics of Chinese maths teaching found in the Effectiveness of Mathematics Teaching (EMT) project which involves over 500 Year-5 children and 19 maths teachers from Southampton, England and Nanjing (a city near Shanghai), China. With the quantitative results published and widely publicised , here we will illustrate some details about how the Chinese maths teaching functions. You will be able to read the complete report in our book to be published this year.

In a Chinese maths class, all pupils are expected to be active thinkers. Chinese teachers are more active in posing questions so as to generate solutions among pupils but less active in providing solutions. The duty of looking for an answer or solution to a given problem is on the pupils’ shoulders. The degree of a Chinese teacher’s input and support gradually decrease as she/he guides the class through the lesson. For instance, in the EMT study, the first exemplary task in Teacher CN4’s lesson on Data involved the collaboration between the teacher and the pupils; the following three tasks then saw a decrease of the teacher’s input and an increase of pupils’ independent effort; for the last task, the pupils worked in an absolutely independent fashion and completed it over a very short period of time – 33 seconds, all done!

Another typical feature of maths lessons in China is the existence of lots of metacognitive discussion promoted by the teacher and carried out by the pupils particularly before and after each task. Before tackling a problem, pupils are asked to think what they must bear in mind while looking for a solution and why. This is often generated through intensive questioning and reasoning in the whole class. Teachers are also constantly encouraging pupils to open their minds, come up with multiple solutions to every single problem and explain them to the class. So doing, children learn to think and tackle a given problem from different angles at deeper levels. A common phenomenon in every classroom is that during every independent work period (often 2-3 min per each), the teacher circulates very quickly through the class, checking everybody’s work and identifying and picking up typical work samples (correct and wrong). She/he then shows the work samples through the projector and asks pupils to comment on them. Through an intensive round of whole-class Q & A, pupils’ classwork is naturally turned into teaching material. Stimulated by the teacher questioning, pupils think and talk about issues as to what the appropriate methods and correct results are, why certain mistakes have been made by themselves or other pupils and what measures should be taken to avoid similar mistakes in their future problem solving.

Across all Chinese maths classes, children show their solid foundation and absolute readiness for the new content to come in. Chinese teachers seem to be more aware and confident of their pupils’ level of knowledge and thus make more accurate ‘prescriptions’ for their capacity of learning the new content. If a teaching plan is a hypothesis, then Chinese teachers are good at making accurate ones, which is all down to their profound and thorough knowledge of mathematics and its teaching methods.

Chinese teachers believe that a lesson should be both teacher-guided and child-centred (in Chinese: 教师为主导,学生为主体). The teacher is there to ensure that the lesson is heading in the right direction, leaving the main job of mathematical reasoning and problem solving to pupils themselves through asking lots of interconnected questions. It is through whole-class interaction and brainstorming that the guidance of the teacher and the central role of every pupil simultaneously come true.

It occurs to us that Chinese maths teaching is more progressive than the methods applied in Britain and many other Western countries. Both caring about every individual pupil (equity and democracy), the English maths teachers spend more time teaching individuals rather the whole class and allocating about a half of the lesson time for children to work on their own, but the Chinese maths teachers stick to active interaction with the whole class in about three quarters of the lesson time, breaking the remaining lesson time into a few small segments for independent work and inserting them between whole-class interaction/discussion periods. The English approach means that there are always some children being excluded from the interaction with their teacher, whereas the Chinese methods ensure that every single pupil is included in the interactive teaching process.

In the English maths class, it might seem that the teacher gives the children entire freedom, but the focus on interaction with individuals and independent work before children can be truly independent means that some children are from time to time excluded from the democracy of equal learning opportunities. In the Chinese maths class, it might appear that all individuals are most of the time taught together, but it is essentially through whole-class interaction with the teacher that their rights to learn the same content as everybody else are equally respected and realised.

Both believing in the importance of hands-on activities through which children learn by doing, English teachers, despite apportioning a huge chunk of lesson time for pupil “independent” work, have to re-teach many individuals who at times get stuck and choose to come back to their teachers throughout the practising time; Chinese teachers, apparently seeing the thinking and reasoning process as the heart and soul of hands-on work for mathematics, embed such hands-on activities naturally into the whole class interaction time, and structure the interaction with logically interconnected mini-questions. Through answering lots of questions during the whole-class interaction time, Chinese children’s mathematical thinking becomes highly observable, which in turn constantly feeds back to the teacher and guides the dynamics of the teaching and learning process.

English maths teaching is more about the teacher demonstrating the correct way of doing mathematics and pupils learning to do it in the same way. Chinese maths teaching is more about the teacher developing the mathematical knowledge gradually in pupils’ minds through intensive interaction with the whole class.

Chinese maths teachers seem to have found a better path towards a truly progressive education, with the characteristics that Dewey proposed a century ago realised, such as hands-on, child-centred, teacher-guided, teacher as a facilitator (rather than a demonstrator), relevant to children’s life. Maybe, the Western world has been misinterpreting – rather than understanding and developing – Dewey’s thoughts on education from the very beginning.

Digital infrastucture

The digital age is only just beginning. What are the implications of the shift to a digital world? How would this impact the perfect country?

The internet of things?

We spoke to Mark Miodownik - Professor of Materials and Society at the Department of Mechanical Engineering, UCL.


Estonia saw the potential benefits of embracing the digital, and pushed for full digital

Professor Patrick Laviolette, Professor of Social and Cultural Anthropology, Tallinn University, Estonia

Virtual technologies might not feature heavily in everyone's construction of utopia. Yet it seems rather difficult to deny that they would likely contribute significantly to any realistic set of strategies for making the world a more efficient, democratic, just and visionary place. Already by the 1930s, the biologist and Jesuit priest Pierre Teilhard de Chardin was writing about the evolution of humanity, whereby we would increasingly become an interconnected species whose mental activities became part of some 'noospheric' thought envelope.

Published decades after they were written, his theories attempted to predict a growth in telepathy, ESPextra-sensory perception, clairvoyance and so on (1955 [1959]). In other words, he hoped to identify how a global consciousness might come about. What might this mean for our future and for that of the planet's? Many people have since described the internet, the World Wide Web, and the potential of similar virtual technologies as analogous to the main principles in de Chardin's idea

More recently and topically, David Bowie proclaimed in a BBC Newsnight television interview at the onset of the noughties “I don't think we've even seen the tip of the iceberg when it comes to the possibilities that the internet will have on the development of what it means to be human. Not only ice is relevant here when considering these issues in relation to the Republic of Estonia. A small Baltic/Nordic country with one of the lowest populations in Europe, Estonia has been significantly ahead of the game when it comes to exploring and prototyping new initiatives such as e-education, e-citizenship and governance, as well as computing telecommunication systems. Start-ups in the area of the knowledge economy abound in this nation, which only adopted the Euro in 2011, on the back of having little international debt.

Nevertheless, there are some important questions to consider in this context. Are Estonians better informed about their civic rights and responsibilities? Is it a more democratic country, or at least, is the population less apathetic politically than elsewhere? Does the global character of e-technology allow for any emancipatory benefit, or sense of national belonging to Estonia's wide ranging diaspora communities?

Of course the answers to such questions should not detract us from investigating how other places can adapt and adopt some of the e-strategies that do seem to work well in Estonia. But we should not simply assume without any evidence that such strategies are beneficial just because their instigating rationale originated from benign sources. Indeed, we have learnt from similar studies into the implementation of domestic 'Telecare' assistive technologies to help older people remain independent in their own homes for as long as possible that there can be unpredictable negative repercussions from what are initially altruistic design plans (Laviolette & Hanson 2007).

Martha lane fox on citizen activism

My Perfect Country presenter Martha Lane Fox - How Digital is the heart of citizen activism Video production by Dominic Byrne.