It has been observed that Asian, in particular Chinese students frequently outperform their Western counterparts in international academic comparisons. However, it is still open to doubt as to whether they actually possess a deeper conceptual understanding than their Western counterparts and as to whether they would perform as well in non-routine mathematical problems (such as open-ended problems). The reason for such queries owes as much to the students' as to teachers' conceptions of mathematics. When mathematics is regarded as an absolute truth or a set of rules governing symbols, students tend to consider doing mathematics as the memorisation of algorithms and learning mathematics as a process of transmission. We posed certain hypothetical situations to students in Hong Kong and China and found that they possess a relatively restricted conception of mathematics. Later, we investigated this phenomenon at greater depth by the use of open-ended problems. We found that students usually approached a mathematical problem by searching for a rule that identifies what is given, what is being asked and the category of topic for the problem. Evidence has also shown that this approach to mathematical problems is largely shaped by the way they experience learning, their response to task demands, and the classroom environment. In other words, such a restricted conception of mathematics which exists both within the students and in the classroom culture has led students to tackle mathematical problems by searching for rules rather than approaching them through a conceptual understanding of the context. It is well known that students' conception of mathematics is closely related to their problem-solving behaviour. This conception is shaped by a number of factors, in particular, by the space of learning in which they 'live'. Of particular significance is the finding that the teachers' conception of mathematics could contribute to the shaping of this 'lived space'. These inter-relationships

This paper reports on a study conducted in Hong Kong which addresses the question of whether teaching approaches can influence the development of learning outcomes within the context of environmental education, how such outcomes are affected by different academic ability levels, and whether they vary over time. The overall hypothesis is that enquiry teaching is more effective than didactic approaches for the development of environmental understanding, irrespective of students' original academic ability and the time frame of measurement. A quasi-experimental design based on a pre-test and two post-tests and follow-up interviews administered to geography classes at matriculation level was used to collect numerical data about changes in understanding after the teaching of a people-environment topic. Students showed a moderate level of environmental understanding to begin with. Results showed that, irrespective of academic ability, those taught with an enquiry approach did better than those who were taught didactically in the short term but not in the long term. The reasons for this trend are discussed in terms of student ability and teaching conditions in schools. To increase the effectiveness of enquiry teaching, improvements in teacher education and training, curriculum revision, funding and research support and changes in examination questions are called for.
[Copyright of International Research in Geographical and Environmental Education is the property of Routledge. Full article may be available at the publisher's website:
http://dx.doi.org/10.1080/10382040108667445 ]

This paper examines the knowledge and understanding of Hong Kong secondary school students about the composition of unpolluted and polluted air, and the nature and effects of air pollutants. A number of misconceptions are highlighted, including the common belief amongst younger students that oxygen was more common in unpolluted air than nitrogen. Along with their cognitive understanding, students were questioned about their views concerning what they and others could and should do to reduce air pollution. In this, they seemed agreed, amongst other things, that financial penalties were less acceptable than legal compulsion - especially on a personal level. It is proposed that learning about the constituents of unpolluted air and air pollutants might be enhanced by linking the individual gases involved to their biological roles and pathological effects, respectively. Similarly, it is suggested that students should be encouraged more to reflect, in terms of environmental cost, on their role as consumers of goods and services.
[Copyright of International Research in Geographical and Environmental Education is the property of Routledge. Full article may be available at the publisher's website:
http://dx.doi.org/10.1080/10382040408668790 ]