*So, I shall now take each problem-solving skill in turn and suggest groups of NRICH tasks which might help develop it.*Trial and improvement is perhaps an undervalued skill.

Reasoning logically as a problem-solving skill is, however, just a small part of reasoning and involves connecting information together in a sequence of steps.

In addition to the Reasoning Feature, there are two collections of activities on the site which focus specifically on logical reasoning: Reasoning and Convincing at KS1 Reasoning and Convincing at KS2 Picturing what is happening in your mind's eye, or imagining what is happening or what might happen, is a skill which is perhaps not talked about very much in the classroom.

" questions, is an important problem-solving skill.

Knowing what to ask means that you understand something about the structure of the problem, and being able to see similarities and differences means you are starting to generalise.

Children can be reluctant to use trial and improvement as they sometimes feel they are only using it because they do not know the 'right' way to solve the problem in hand.

In reality, trial and improvement involves trying something out, which will always give more insight into the context and therefore gives the solver a better idea of what to try next.We have published two groups of tasks which learners could have a go at in order to get more experience of this skill: Working Backwards at KS1 Working Backwards at KS2 At NRICH we believe that reasoning is fundamental to knowing and doing mathematics.Our Reasoning Feature includes an article, Reasoning: Identifying Opportunities which explores when reasoning is necessary and what we do when we reason.Having a skills-based focus to a lesson or series of lessons can work well and it would be worth focusing on one or two skills at a time.This takes us back to the Developing Excellence in Problem Solving with Young Learners article, where Jennie also suggests that our choice of task can affect learners' confidence and competence as problem solvers.Base on result and analysis, the conclusion is that Scientific Approach can improve students' mathematical problem solving skills.Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence.This is important, for example, when a task entails finding all possibilities, or when it is helpful to structure a method for solving a problem.More details about what it means to work systematically can be found in the article Encouraging Primary Children to Work Systematically, which was part of our Working Systematically Feature.Our Number Patterns Feature brings together a range of activities which offer children the chance to create, look for and explain patterns in the context of number.Starting from the end might sound counterintuitive, but it can be an efficient way of solving a problem.

## Comments How To Develop Problem Solving Skills In Mathematics

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