Background This study examined the effects of different approaches to teaching learners with mild intellectual disabilities to solve mathematical word problems. Method Thirty Chinese students with mild intellectual disabilities from a special school in Hong Kong were taught using conventional instruction, worked example instruction, and cognitive strategy instruction. A cross‐subjects experimental design was used to compare the effects of the three instructional approaches on immediate and delayed tests. Results Students presented with worked example and cognitive strategy instruction solved more problems correctly and generally outperformed students presented with conventional instruction in both immediate and delayed tests. In addition, learners receiving worked example and cognitive strategy instruction were more able to maintain and generalise their previous knowledge and skills to solve novel problems than those receiving conventional instruction. Conclusions The findings indicate that learners can profit from worked example and cognitive strategy instruction which can promote problem‐solving skills and mathematical learning.
[Copyright of Journal of Intellectual & Developmental Disability is the property of Informa Healthcare . Full article may be available at the publisher's website:
http://dx.doi.org/10.1080/13668250500349409]

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

It is a reality of schools today that most teachers are overwhelmed by daily demands on their time and energy. In particular, they find it difficult to allocate enough extra time for purposes of counselling individual pupils with problems. Any arrangement that enables them to fulfil this counselling role quickly and effectively--and with positive results--would therefore be welcome. This paper reports a teacher's application of a brief form of solution-focused counselling with pupils attending a primary school in Hong Kong. The teacher's personal reflections after using the approach support the view that this form of counselling can be effective with children of this age. The authors believe that teachers who use solution focused counselling in helping their students would benefit from clinical supervision of a reflecting team.
[Copyright of Pastoral Care in Education is the property of Routledge. Full article may be available at the publisher's website:
http://dx.doi.org/10.1080/02643940802062691]