Magdelene,
Again, I don't want to patronise you, but would it perhaps be useful to look at what the teachers amongst us mean when we say 'skills'?
If you look at any of the subjects in the National Curriculum, you will see that for each key stage there is a section entitled 'Knowledge, Skills and Understanding'. Within that there is often an explicit statement of skills. As Mrz has already given the example of History, here's the relevant bit for KS2 geography:
"Geographical enquiry and skills
- In undertaking geographical enquiry, pupils should be taught to:
a. ask geographical questions [for example, 'What is this landscape like?', 'What do I think about it?']
b. collect and record evidence [for example, by carrying out a survey of shop functions and showing them on a graph]
c. analyse evidence and draw conclusions [for example, by comparing population data for two localities]
d. identify and explain different views that people, including themselves, hold about topical geographical issues [for example, views about plans to build an hotel in an overseas locality]
e. communicate in ways appropriate to the task and audience [for example, by writing to a newspaper about a local issue, using email to exchange information about the locality with another school].
- In developing geographical skills, pupils should be taught:
a. to use appropriate geographical vocabulary [for example, temperature, transport, industry]
b. to use appropriate fieldwork techniques [for example, labelled field sketches] and instruments [for example, a rain gauge, a camera]
c. to use atlases and globes, and maps and plans at a range of scales [for example, using contents, keys, grids]
d. to use secondary sources of information, including aerial photographs [for example, stories, information texts, the internet, satellite images, photographs, videos]
e. to draw plans and maps at a range of scales [for example, a sketch map of a locality]
f. to use ICT to help in geographical investigations [for example, creating a data file to analyse fieldwork data]
g. decision-making skills [for example, deciding what measures are needed to improve safety in a local street]."
It's not possible to teach those skills to an appropriate level through what you describe as 'cutting and sticking', which is why we do very little of that except perhaps when learning to shape and join different materials in ways appropriate to the purpose of the object we are making in Design Technology.
In fact, I have most often seen cutting and sticking 'makework' in classrooms with a very didactic teaching style, as a closed 'Have you listened properly to me today? Then cut out these pictures and match them to the right words' timefilling task.