Problem Solving


Research shows that students learn mathematics as a result of solving problems. Mathematical ideas are the outcomes of problem solving experience rather than elements that must be taught before problem solving. (Hiebert et al., 1996, 1997) Furthermore, the process of solving problems is completely interwoven with learning; children are learning mathematics by doing mathematics and by doing mathematics they are learning mathematics. (Cai, 2010) Here is a selection of problems and solutions adapted from the nrich website. These could be used in various classes or they could be used for problem-of-the-week material.


Estimation Problems


Estimation Solutions


Place Value, Integers, Ordering and Rounding Problems


Place Value, Integers, Ordering and Rounding Solutions


Factors, Multiples, Primes Problems


Factors, Multiples, Primes Solutions



Key skills help learners develop the knowledge, skills and attitudes to face the many challenges in today’s world. They also support students in learning how to learn and to take responsibility for their own learning. The following are links to three key skills of the new Junior Cycle framework. 


Managing Information and Thinking


Managing Myself


Working with Others