They will move backwards and forwards between the three throughout their teaching.įor a more detailed guide on the CPA model, use this link to an explanation for parents. Many complex problems are easier to solve with algebra. Teachers make links between the concrete, pictorial and abstract to strengthen the children's understanding. The model drawing approach takes students from the concrete to the abstract stage via an intermediary pictorial stage. The Concrete Pictorial Abstract Approach is here to stay It may have taken many years for CPA to reach the level of popularity it has today, but it is definitely here to stay. (CRA) sequence of instruction pro- vides the framework for. This sequence is evident in both the National Syllabus and varied textbooks adopted in schools. ![]() The final part of this process is moving to an abstract model, using numbers to show a calculation. To prepare students for success in the mathematics classroom, the concrete-representational-abstract. The Concrete-Pictorial-Abstract (C-P-A) sequence is the key instructional strategy for the development of primary mathematics concepts in Singapore (MOE, 2007, 2012). This may be children drawing 3 figures in a group and 2 figures in another group, showing that there are 5 altogether. This study aimed at: (1) determining whether the Concrete-Pictorial-Abstract (CPA) strategy has a positive effect on students mathematical conceptual understanding (MCU) and students mathematical representation (MR) on fractions (2) describing how CPA strategy can improve students MCU and students MR on fractions. When we intentionally start with concrete manipulatives to learn new math concepts. Numicon, Base 10, Place Value Counters, Bead Strings) to help them understand what they are doing. Children have the opportunity to use concrete objects and manipulatives (e.g. This can be as simple as a young child learning about adding by taking 3 animal figures and a group of 2 animal figure and putting them together to show that there are 5.įrom this stage we move to pictorial models that support the understanding of this concept. Concreteness Fading: Concrete, Representational, Abstract (CRA) Approach. Overview of using concrete, pictorial, abstract progression to teach any math topicDownSyndrome Academ圓21For more information and resources, go to https. The children follow the ‘Concrete, Pictorial, Abstract’ approach to build competency when introduced to a new concept. ![]() CPA, or Concrete, Pictorial, Abstract, is an approach developed by American psychologist Jerome Bruner and is an integral component of the widely adopted curriculum Singapore Math. This system is rooted in allowing children to use apparatus to help them understand a concept. Part of the aim of conceptual learning is to aid students in moving along the continuum of concrete to abstract learning. Parents' Guide to Concrete, Pictorial, Abstract modelĪt LEH, we use the concrete, pictorial, abstract (CPA) model in our teaching of mathematical concepts.
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