10/28/2022 0 Comments Concrete pictorial abstract![]() ![]() These representations can then be used to reason and solve problems. Pictorial – students should then build on this concrete approach by using pictorial representations.Concrete – students should have the opportunity to use concrete objects and manipulatives to help them understand what they are doing.It is an essential technique within the Singapore method of teaching maths for mastery. Often referred to as the concrete, representational, abstract framework, CPA was developed by American psychologist Jerome Bruner. Each lesson includes a challenge question for those children who can delve deeper into a concept.Ĭoncrete, Pictorial, Abstract (CPA) is a highly effective approach to teaching that develops a deep and sustainable understanding of maths in pupils. There are a range of fluency, reasoning and problem solving questions in each lesson that are designed to support the different needs and confidence levels within a class, while at the same time fostering a spirit of working and learning together. This means that the concepts are broken down so that your child can master one idea without feeling over-whelmed. Power Maths is based on a ‘small-steps’ approach, sometimes called a mastery approach. What if my child needs a confidence boost, or wants to be challenged further? CONCRETE PICTORIAL ABSTRACT TRIALProblem Solving – drawing on problem solving skills such as working systematically, trial and improvement, logical reasoning and spotting and exploring patterns. Reasoning – thinking through mathematical problems logically and systematically and involves using and applying their mathematical knowledge to explain or justify a solution. The Power Maths scheme allows children to make small steps to move through the following aspects of mathematical thinking: Fluency – having number sense, understanding how numbers relate to each other, seeing how numbers can be split and put together in different ways and having knowledge of number facts and efficient methods to calculate. They spark curiosity, engage reasoning, secure understanding and deepen learning for all. Power Maths uses growth mindset characters to prompt, encourage and question children. Power Maths includes practice questions to help children develop fluent recall and develop their conceptual understanding. Many people feel they were taught maths in a way that was about memorising formulas and calculation methods, then having to apply them without any real understanding of what or how these methods actually work. ![]() The philosophy behind Power Maths is that being successful in maths is not just about rote-learning procedures and methods, but is instead about problem solving, thinking and discussing. How does this support our approach to teaching? It has been designed to support and challenge all pupils, and is built on the belief that EVERYONE can learn maths successfully. Power Maths is a resource that has been designed for UK schools based on research and extensive experience of teaching and learning around the world and here in the UK. ![]()
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