This paper explores Year 3 Irish students' problem-solving strategies when responding to a skyscraper growing pattern problem. Students' strategies reveal their understandings of multiplicative thinking, pattern, and algebraic reasoning. The version of the growing pattern lesson was that a 'teaching through problem solving' approach was taken,…

Mathematics is a core subject in the UK curriculum, with high standards achievement a policy of the UK government. Innovative approaches and strategies have been advocated to achieve these high standards. One approach that has been advocated is Precision Teaching, supported by its successful application in schools in the United States. For this…

Investigated was how easily pupils aged 12 and 13 who were initially unaware of the invariance of an operation (with decimals) modeling a situation could be led to such awareness. Results from clinical interviews are reviewed and a protocol presented. It appeared difficult to induce conservation. (MNS)