Examining the cpa approach to primary maths. With the CPA framework, every abstract concept is first .

Examining the cpa approach to primary maths CPA can help students learn, not only at primary school level, but as a general principle, also at secondary and even at university level. However, the way to go about teaching and learning with the C-PA sequence is unclear. The CPA framework is so established in Singapore maths teaching that the Ministry of Education will not approve any teaching materials that do not use the approach. It can be used across all stages and involves introducing abstract concepts in a concrete and tangible way. This research is motivated by the importance of mathematical reasoning abilities for primary school students. She discusses the benefits of this approach to achieve Mastery, and how teachers can In Singapore, the CPA approach is a cornerstone of primary mathematics education, as outlined in the Ministry of Education's curriculum guides (Lutfi & Dasari, 2024). Jan 1, 2012 · There has been a great deal of interest amongst educators in England in Concrete-Pictorial-Abstract (CPA) approaches to the teaching of mathematics, an approach which is broadly supported by research into children’s development, although the evidence from the reviews and syntheses of research indicate that this is a more complex process than May 24, 2018 · How students can learn abstract concepts at a high level! === CPA Approach Concrete, pictorial, abstract (CPA) is a highly effective approach to teaching that develops a deep and sustainable understanding of maths. As educators, our primary goal is to ensure that Oct 14, 2024 · ABSTRACT The ‘mastery’ approach for the teaching of mathematics in primary schools has been advocated by the UK government stating it will develop deeper understanding and sustained learning for pupils. To enhance this pedagogy further, it is important that teachers consider when to change the choice of manipulative to move learning on. This paper aims to (1) expound from learning theories of Bruner, Dienes and Piaget, and The series is designed to support teachers and learners following the new Cambridge Primary Maths curriculum framework (0096) Our package nurtures active learners, using the Concrete, Pictorial, Abstract (CPA) approach to help them develop a broad understanding of mathematics and the ability to apply mathematics in their daily lives. I was surprised to see how many teachers had no idea what this teaching method This research is a systematic literature review (SLR) research that focuses on the implementation of the CPA approach in mathematics education. Using the Concrete-Pictorial-Abstract (CPA) pedagogy, it guides students through understanding the reasons behind mathematical operations, ensuring they don't just memorize facts. The method is all about hands-on learning, knowing the mechanics of math problems, and not just recalling answers. Concrete-pictorial-abstract approach (CPA) for maths teaching for primary 1 to 3 The Programme for International Student Assessment (Pisa) provides education rankings based on international tests The Concrete, Pictorial, Abstract approach (CPA) is a highly effective approach to teaching that develops a deep and sustainable understanding of maths in pupils. This research aims to find out the increase of spatial sense of elementary school students who learned with CPA approach and conventional learning in terms of overall students as well as categories of high Mar 2, 2020 · Welcome to our blog on the CPA approach, written by primary maths consultant, Andrew Jeffrey. With the CPA framework, every abstract concept is first Abstract: The Concrete-Pictorial-Abstract (C-P-A) sequence is a key instructional strategy for the development of primary mathematics concepts in Singapore. The approach we use is concrete, pictorial and abstract (often referred to as the CPA approach). This method builds deep understanding step by step, making math more accessible for every learner. Analysis on Lower Graders' Mathematics Textbooks in Senegal, Japan and Singapore, in Application of Spiral Structure of Its Contents and Concrete, Pictorial and Abstract (CPA) Approach. They will also be able to know how “In particular, the Maths department has been exploring the Concrete, Pictorial, Abstract [CPA] approach to building numeracy skills and Maths confidence. This nicely encapsulates the reasoning behind incorporating the Concrete Pictorial Abstract (CPA) approach in maths lessons across many curriculums. Once they become comfortable solving problems with these This document summarizes the Concrete-Pictorial-Abstract (CPA) approach to teaching primary mathematics. Often referred to as ‘concrete’ resources, or the more Americanised word ‘manipulatives’, this practical equipment takes a variety of forms. CPA maths has steadily increased in popularity, especially since being utilised in the Singapore maths curriculum, to great The CPA method is a widely recognized instructional approach in mathematics education that seeks to enhance students' comprehension of mathematical ideas by using a sequence of tangible elements, visual representations, and symbolic abstractions (Agustin, 2023). Abstract This paper reports on the work to review the key pedagogical approach advocated in Singapore Primary Mathematics Curriculum – the Concrete-Pictorial-Abstract Approach or C-P-A Approach in view of the changes brought about by technological advances. During this stage, students use concrete objects to model problems. Jun 24, 2025 · The CPA approach, concrete, pictorial, abstract, is a powerful teaching method that helps children build deep, lasting understanding in maths. This is a quote from Dr Yeap Ban Har, one of the world’s primary authorities on Singapore maths and teaching maths mastery. It was first proposed by Jerome Bruner in 1966 as a means of scaffolding learning. Since its inception in the early 1980’s, the CPA approach has remained a key instructional strategy advocated by the Singapore Ministry of Education. com, "Concrete Pictorial Abstract Approaches in the Classroom"). This lesson study, conducted as part of the Master of Arts in Educational Leadership and Management course at the University of Malta, focused on teaching mathematics through the concrete-pictorial-abstract (CPA) approach. Our adaptive learning system adjusts the difficulty level to guide students toward mastery. It highlights the success of Singapore math in improving national exam pass rates and students' performance in international assessments. Developed by American psychologist, Jerome Bruner, the CPA approach is the mainstay of maths teaching in Singapore. It discusses how the CPA approach is based on Bruner's work on using enactive, iconic, and symbolic representations. ’ Since as early as the 1960s, there has been an appreciation amongst Western education systems of the importance of using practical equipment in children’s early mathematics. What is Singapore Math? Singapore Math is an innovative approach to teaching math, developed by Singapore’s Ministry of Education. Aug 26, 2025 · Have you ever wondered why children in Singapore consistently rank among the top in international math tests? The secret lies in Singapore Math, a teaching method developed by Singapore’s Ministry of Education in the 1980s. Sep 8, 2025 · A guide to The Concrete Representational Abstract (CRA) approach and how to use it in your elementary math classroom. At the end of this post, you will find a FREE exemplar lesson plan, which we hope you will find useful. Key Features of Singapore Math Concrete-Pictorial-Abstract (CPA) Approach Oct 15, 2024 · Discover how CPA helps students build a strong understanding of math concepts by moving from hands-on activities (Concrete), to visual representations (Pictorial), and finally to abstract thinking. This research aims to compare the understanding of the Numicon Professional Development Lead Louise Pennington explains how Numicon manipulatives help to exemplifiy the concrete-pictorial-abstract approach. Research points to the Singapore Primary Mathematics Curriculum as the major factor in this impressive and long-lasting What is the CPA approach and where did it come from? The concrete, pictorial, abstract approach to mathematics has been a key feature of teaching and learning in Singapore since the 1980s. It is a new way of harnessing all maths leadership and expertise within an area, to develop and spread excellent practice, for the benefit of all students. Oct 1, 2020 · The purpose of this research is: 1) describe the steps in the application of the CPA approach, 2) improve mathematics learning through of geometry the CPA approach, and 3) analyze the constraints Discover the powerful CPA approach in mathematics and how it can help students achieve math mastery through the Concrete, Pictorial, and Abstract learning stages. Through the CPA approach, teachers can be sure children develop deep understanding and can see and address misconceptions quickly. Jan 27, 2025 · Teaching maths to young children can sometimes feel overwhelming, but using the Concrete, Pictorial, and Abstract (CPA) method can make the process easier and more effective. This method, widely used in early childhood education, breaks down learning into three stages, helping children develop a deeper understanding of mathematical concepts. The CPA approach is now a widespread and effective tool that is being integrated into many teachers’ pedagogies, and Oct 12, 2020 · Products Primary Maths Series Foundations Insights Assessment Assessment Papers Teacher Hub Visualiser App Mathsteasers Free Maths Activities Shop Books Resources Blog Interactive Presentation Maths Mastery CPA Approach Number Bonds Bar Modelling Fractions Accredited Schools Education Podcast Company Based on the above explanation, therefore to test the reliability of the CPA approach in teaching and learning mathematics, hence it will be conducted a study that focused on developing a mathematical representation capability of elementary pre-service teachers through the CPA approach. The descriptive approach was used during the qualitative phase. CPA provides a general easy-to-follow principle for curriculum design and textbook development. Jul 12, 2025 · Mathematics achievement in Sierra Leonean primary schools remains a significant challenge, often attributed to the prevalent use of traditional Abstract teaching methods that begin with symbolic notation, hindering conceptual understanding. The experimental group employed the CPA strategy teaching method and their test occurred during eight meetings. Jul 4, 2024 · The CPA approach is a powerful method for teaching math to children, fostering a deep understanding and a love for the subject. I provide examples Aug 25, 2025 · Master Singapore's primary math curriculum. However, concrete learning is equally important with older learners as it is with younger learners! This is a quote from Dr Yeap Ban Har, one of the world’s primary authorities on Singapore maths and teaching maths mastery. As part of the CPA approach, new concepts are introduced through the use of physical objects or practical equipment. Our team of educators helps to build a strong math foundation by using the CPA approach to teach computational strategies and techniques, problem-solving, algebraic thinking, language-processing, and more. Visitors to any Apr 6, 2023 · The CPA approach in Singapore Math synthesizes these theoretical perspectives, providing a structured framework for learners to progress from concrete to abstract understanding. As the next video will demonstrate, the CPA approach has strong roots in research, for example, from the psychologist Jerome Bruner. null What OfstedSay: When inspectors look at mathematics at Priestsic Primary and Nursery School, they will evaluate the quality of our mathematics education through lesson visits, discussions with pupils and scrutiny of their work, reviewing curriculum plans, discussions with curriculum leaders, and examining any published data. The CPA approach can be implemented in the This video demonstrates how to teach mathematics using the Concrete Pictorial Abstract Model. The approach, emulated from countries that have scored highly in international testing, has seen varied implementation in England. Apr 8, 2024 · The program uses the CPA (concrete-pictorial-abstract) approach to mathematics education. Jul 8, 2025 · The Concrete Pictorial Abstract (CPA) approach helps pupils develop a deeper, more secure understanding of how to solve maths problems. The Concrete-Pictorial-Abstract (CPA) approach, widely used in Singapore Math, has demonstrated significant potential in catering to the needs of 7-year-old children. Concrete-Pictorial-Abstract (CPA) approach is considered able to improve students' spatial sense abilities. May 17, 2023 · Essential Maths Manipulatives In this blog we look at how the Concrete, Pictorial, Abstract Approach (CPA) to mathematics is highly effective with essential maths manipulatives that enable pupils develop a deeper understanding of mathematical concepts. The Concrete-Pictorial-Abstract (CPA) approach, based on Bruner's conception of the enactive, iconic and symbolic modes of representation, is a well-known instructional heuristic advocated by the Singapore Ministry of Education since early 1980's. When implemented effectively, it creates a bridge between the tangible world and abstract mathematical concepts, allowing children to grasp the real-world relevance of What is the CPA approach in mathematics? Discover how this powerful math method can help your students achieve math mastery easily and more efficiently. The Concrete-Pictorial-Abstract (CPA) approach is a powerful framework for teaching mathematics that builds deep and lasting understanding by moving students through three stages: Concrete He found that when pupils used the CPA approach as part of their mathematics education, they were able to build on each stage towards a greater mathematical understanding of the concepts being learned, which in turn led to information and knowledge being internalised to a greater degree. Pupils are first exposed to the new mathematical concept with tangible materials, such as fruit or Dienes blocks. This study aimed to see how far the achievement of students' mathematics learning outcomes (MLO) is through the concrete-pictorial-abstract (CPA) approach based on students' early mathematical The CPA approach was created by Jerome Bruner and is widely used in math instruction in Singapore (structural-learning. Oct 18, 2025 · Learn what the CPA approach is, a powerful math teaching strategy involving concrete objects, pictorial diagrams, and abstract symbols to help students build a deep, lasting understanding of mathematical concepts. Sep 13, 2023 · Concrete apparatus help children see the underlying structure of mathematics, to reason and hypothesise, to clearly articulate their thinking. Nov 29, 2021 · Concrete, Pictorial, Abstract (CPA) is an effective method for teaching that offers a sustainable and deep understanding of maths to the students. CPA also provides a general easy-to-follow principle for maths teachers for their teaching in maths classrooms. As a result, the benefits of this sequence cannot be fully capitalized. This pedagogical approach has thus far chiefly been the preserve of KS1 and 2 educators, but we feel that it would have great applicability for our students. Jan 28, 2025 · Explore the importance of the concrete, pictorial, abstract approach (CPA) in primary maths mastery classrooms See full list on thirdspacelearning. Mar 6, 2017 · As explained in previous posts, Operation Maths is built on a concrete, pictorial, abstract approach, or CPA approach. Jun 26, 2025 · What Is the CRA Model? Also called Concrete-Pictorial-Abstract (CPA) or Concrete-Semi Concrete-Abstract (CSA), the CRA model is a research-based approach to teaching math that helps students move from hands-on exploration to abstract thinking through three stages: Concrete – Using physical tools and manipulatives Representational (Pictorial/Semi Concrete) – Drawing pictures or diagrams This article illustrates the process of a lesson study which was implemented in a local state primary school. Sep 11, 2023 · The Concrete, Pictorial, Abstract approach (CPA) is a highly effective approach to teaching that develops a deep and sustainable understanding of maths in pupils. At a glance CPA is widely used in primary mathematics classrooms in Singapore. edu. Understandably, it is really important that the strategies used at home are the same as the strategies that we use in school. The Concrete-Pictorial-Abstract (CPA) approach, grounded in constructivist theory, offers a promising alternative but lacks empirical validation The Concrete-Pictorial-Abstract (CPA) approach is a powerful teaching method designed to foster a deep and lasting understanding of mathematics in learners. Despite its ubiquity as a teaching strategy throughout the entire mathematics education community in Singapore, it is somewhat In this first video in a series on active learning approaches I outline what the CPA approach is and how it can help teachers in introducing and embedding mathematical concepts. It begins with physical objects and then moves towards abstract concepts gradually, building deep intuition along the way. Despite its ubiquity as a teaching strategy throughout the entire mathematics education community in Singapore, it is somewhat surprising to see a Aug 16, 2025 · Using CPA Approach for Teaching Math to Children CPA is a general pedagogical principle, not a specific mathematics problem-solving method (different from the model method). This approach leads to both procedural fluency What Makes The CPA Approach In Singapore Math So Effective? The CPA (Concrete-Pictorial-Abstract) approach helps students build a deep, lasting understanding by moving gradually from hands-on activities to visual models and finally to abstract concepts. PDF | On Jul 1, 2020, Heru Kurniawan and others published Concrete-Pictorial-Abstract Approach on Student's Motivation and Problem Solving Performance in Algebra | Find, read and cite all the Jan 9, 2019 · Abstract. This helps improve mental math and develop creative problem-solving techniques. The National Maths Hubs programme brings together mathematics education professionals in a collaborative national network of 35 hubs, each locally led by an outstanding school or college. Often marked as the concrete, representational, abstract framework, CPA was first proposed by the American psychologist Jerome Bruner. Examples are provided of how the CPA approach can be applied to teaching fractions, division, addition, area of a circle, and other math concepts from Primary 1 through 6 The CPA approach builds on children’s existing knowledge by introducing abstract concepts in a concrete and tangible way. Sep 7, 2022 · A Maths mastery teacher breaks down what the CPA or Concrete, Pictorial Abstract approach is and what the three stages look like in Early Years maths teaching. Mar 23, 2025 · This study emphasizes the CPA approach's effectiveness in promoting numeracy literacy and suggests its widespread implementation in mathematics instruction. This is attested by its regular mention in official curricular documents CPA Approach - articles by Maths — No Problem! expert bloggers, with a focus on primary school maths mastery education. Dec 3, 2021 · How the CPA approach fits into maths mastery Concrete Pictorial Abstract (known as the CPA approach) is a key feature of the maths mastery approach. Here, we shall examine the historical development of the CPA approach, its effectiveness in promoting mathematical understanding, and its application in diverse contexts. The CPA approach builds on children’s existing knowledge by introducing abstract concepts in a concrete and tangible way. One of the most effective and research-backed instructional strategies is the CPA approach—short for Concrete–Pictorial–Abstract. Proven by a PISA study showing Singapore students consistently ranking among the top Teaching Maths for Mastery Interested in Singapore maths, the CPA approach, bar modelling, or number bonds? Learn essential maths mastery theory and techniques here. The Singapore math online program has proven highly effective globally and is recognized as among the best Singapore math curriculum. Unlike traditional maths teaching methods where teachers demonstrate how to solve a problem, the CPA approach brings concepts to life by allowing children to experience and handle physical (concrete) objects. Counterbalanced design was used with pre- and post-test in every CLR cycle. The The Concrete-Pictorial-Abstract (CPA) approach is a powerful teaching method designed to foster a deep and lasting understanding of mathematics in learners. Using the CPA approach, students work with concrete manipulatives before they move on to pictorial representations to acquire and refine their understanding of abstract concepts. Items in OAR@UM are protected by copyright, with all rights reserved, unless otherwise indicated. um. Rooted in Bruner’s work on cognitive development, CPA guides pupils from hands-on experiences to visual representations, and finally to abstract symbols. This study inspected the effectiveness of Concrete-Pictorial-Abstract (CPA) approach to Grade 8 students of Bukidnon National High School in terms of students’ attitude and performance Concrete step of CPA Concrete is the “doing” stage. mt/library/oar/handle/123456789/129978 Jan 22, 2020 · The CPA or Concrete, Pictorial, Abstract Approach is a key part of maths mastery, but during EYFS it’s best to focus on Concrete and Pictorial stages. This research method is a quasi-experiment with pre-test and post-test control group design in Mathematics Apr 6, 2023 · Summary Understanding the cognitive processes and developmental needs of Primary 1 students is essential for developing effective instructional approaches in mathematics. This approach was seen to be especially helpful with the teaching of mathematics. What is CPA in maths mastery? Jul 18, 2021 · The CPA Approach makes learning math accessible to all students, including those with math learning disabilities. PSLE Ninja is an exam prep tool for Primary 3 to 6 students in Singapore, focusing on English, Math, and Science. Jul 20, 2023 · PDF | On Jul 20, 2023, Gemma F. The Heart of the Singapore Math Approach The central concept of the Singapore Math curriculum revolves around Mathematical Problem-Solving, supported by five key Concrete, Pictorial, Abstract (CPA) is an approach that helps learners in maths by starting with concrete objects, moving to pictorial representations, and then to abstract symbols and concepts Concrete Pictorial Abstract or CPA approach in Maths helps pupils develop a more secure understanding of maths problem solving. Oct 16, 2025 · Explore the Concrete Pictorial Abstract (CPA) approach, a method that bridges hands-on learning with conceptual maths mastery. It is a must see video for all Elementry school teachers. CPA maths has steadily increased in popularity, especially since being utilised in the Singapore maths curriculum, to great . Find o In the practice of mathematics instruction in Singapore, Bruner’s enactive-iconic-symbolic conception is at the heart of the Concrete-Pictorial-Abstract (CPA) approach. The CPA approach is now a widespread and effective tool that is being integrated into many teachers’ pedagogies, and Aug 14, 2019 · The CPA approach is once again our answer to learning place value in larger numbers. The CPA (Concrete-Pictorial-Abstract) approach is presented as The Concrete-Pictorial-Abstract (C-P-A) sequence is a key instructional strategy for the development of primary mathematics concepts in Singapore. Concrete, Pictorial, Abstract Approach The calculation policy is laid out in accordance with one of the key learning principles behind Maths Mastery, the Singapore approach at White Rose maths, as supported by the NCTEM. CPA is more applicable for thinking about mathematics The school development plan (SDP) stipulates that the concrete-pictorial-abstract (CPA) approach is to be implemented to facilitate the teaching of mathematical Abstract Teachers will post their Maths Working Walls each week on Class Dojo. Factors, multiples and primes activities and worksheets Primary maths: Fractions Ancient Egyptians in primary Whole lessons, worksheets, display materials and art activities for children learning ABSTRACT Learning mathematics with the CPA approach has been practiced in Singapore and proven its effectiveness. The spatial sense ability of elementary school students is still low. Nov 4, 2024 · ‍ What is Singapore Math? Singapore Math is a mathematics curriculum developed in Singapore that focuses on a solid foundation in mathematical concepts and procedures. Often referred to as the concrete, representational, abstract framework, CPA was developed by American psychologist Jerome Bruner. By using hands-on activities, visual aids, and Longmoor Primary School Home Curriculum Maths Maths At Longmoor, all children's conceptual understanding and engagement is at the heart of our maths curriculum; we follow the use of a concrete, pictorial, abstract (CPA) approach to develop Mastery Maths through the support of the NCETM Mastering Number and White Rose curriculum from EYFS to Year 6. The quantitative data which included MCU and MR were collected using a narrative peer-reviewedPlease use this identifier to cite or link to this item: https://www. This research method is a quasi-experiment with pre-test and post-test control group design in May 28, 2016 · One of the most fundamental learning theories to be implemented within any mastery classroom is the ‘CPA’ (Concrete, Pictorial, and Abstract) approach. A fundamental part of this is the use of manipulatives to support the teaching of different concepts. With the CPA framework, every abstract concept is first What is CPA Maths First proposed in 1966 by psychologist Jerome Bruner, the CPA (concrete, pictorial, abstract) approach was introduced as an educational strategy to scaffold learning. CPA maths has steadily increased in popularity, especially since being utilised in the Singapore maths curriculum, to great CPA is widely used in primary mathematics classrooms in Singapore. This study aims to look at a more in-depth and comprehensive view of the implementation of the CPA approach in mathematics education in terms of the year of research and level of education. Introduction The term ‘CPA’, which stands for ‘ Concrete, Pictorial, and Abstract ’, has come to prominence amongst teachers in recent years, with the increasing popularity of “Singapore Aug 1, 2020 · Abstract. Aug 27, 2025 · It follows the Concrete-Pictorial-Abstract (CPA) approach, where concepts are introduced hands-on before moving to visual representations and finally symbols. Oct 10, 2023 · CPA opportunities across the maths curriculum Teaching through the Concrete, Pictorial, Abstract (CPA) approach has become second nature to primary teachers. Unlike traditional math programs, Singapore Math follows the CPA pathway (Concrete–Pictorial–Abstract) and emphasizes deep understanding through problem-solving Influence of Teaching Approaches on Students’ Performance in Mathematics: A meta-analysis of Quasi-Experimental Studies in Africa Emmanuel Iyamuremye1 Irenee Ndayambaje2 & Charles Magoba Muwonge3 Parents will understand the learning philosophy & processes in a Primary Maths classroom, starting with the concrete, then pictorial & lastly the abstract stage. The international test rankings (TIMMS) have been supporting this fact continuously for more than a quarter of a century. The document discusses the pedagogical approaches used in Singapore's mathematics curriculum, emphasizing the importance of problem solving and tailored learning strategies for diverse learners. Developed by American psychologist, Jerome Bruner, it is based on his conception of the enactive, iconic and symbolic modes of representation. CPA stands for ‘Concrete, Pictorial and Abstract. What is CPA Maths First proposed in 1966 by psychologist Jerome Bruner, the CPA (concrete, pictorial, abstract) approach was introduced as an educational strategy to scaffold learning. It is an essential technique within the Singapore method of teaching maths for mastery. Students develop a better understanding of mathematical concepts, which we then revisit and build upon. null Dec 22, 2023 · What are concrete, pictorial and abstract resources in maths? The Concrete Pictorial Abstract (CPA) methodology is a system that utilizes physical and visual tools to strengthen a child’s comprehension of abstract topics. It supports how we teach maths, with challenge for all at the heart. In particular, the Concrete-Virtual-Pictorial-Abstract Approach or C-V-P-A Approach is proposed to take into account the role that Introduction and Background It is widely recognised and understood that a concrete, pictorial, abstract, (CPA) approach to teaching mathematics supports children to develop a deep and secure understanding. It’s based on research, pedagogy, and learning theories and has earned global recognition for producing strong, confident math learners. The Concrete-Pictorial-Abstract (CPA) approach, grounded in constructivist theory, offers a promising alternative but lacks empirical validation within the Concrete step of CPA Concrete is the “doing” stage. In particular, it explains concepts by (1) using concrete resources such as counters to explain simple addition, (2) using pictorial representations such as drawings of counters, and (3) using abstract representations such as numbers. Boost your child's confidence today! The stages of learning with the CPA approach always create as close as possible a mathematics to the daily lives of students. These tools help students grasp concepts thoroughly and improve their problem-solving skills. These can be physically handled, enabling children to explore different mathematical concepts. In a nutshell, the CPA approach uses concrete manipulatives to eventually gain a secure understanding of more abstract mathematical concepts. Abstract: The Concrete-Pictorial-Abstract (CPA) approach, based on Bruner’s conception of the enactive, iconic and symbolic modes of representation, is a well-known instructional heuristic advocated by the Singapore Ministry of Education since early 1980’s. This paper aims to (1) expound from learning theories of Bruner, Dienes and What is CPA Maths First proposed in 1966 by psychologist Jerome Bruner, the CPA (concrete, pictorial, abstract) approach was introduced as an educational strategy to scaffold learning. Learn about the math model method, CPA approach, and get tips for PSLE math problem solving. Despite its ubiquity as a teaching strategy throughout the entire mathematics education community in Singapore, it is somewhat A Concrete Pictorial Abstract (CPA) approach attempts to help improve the understanding of abstract topics. Oct 1, 2024 · The concrete pictorial abstract (CPA) approach is a way to build children’s mathematical understanding through carefully structured progression, incorporating physical objects, visual representations and abstract symbols. It involves moving from concrete materials, to pictorial representations, to abstract symbols and problems. Aug 26, 2024 · The Singapore math approach also includes the CPA (Concrete, Pictorial, Abstract) progression, number bonds, bar modeling, and mental math. Learn what it is, how to structure lessons, and its efficacy. This will show what your child has learned in mathematics at school that week and will also show the strategies used to teach different mathematical concepts. The Concrete-Pictorial-Abstract (CPA) approach, grounded in constructivist theory, offers a promising alternative but lacks empirical validation within the A few weeks ago, I polled my Instagram followers to see if they had ever heard of the CPA approach to teaching math. null Max Maths Primary: A Singapore Approach 2nd edition available now! Max Maths primary: A Singapore Approach is a highly effective approach to teaching maths, based on research and substantial evidence, where ALL pupils succeed. What is the Concrete Pictorial Abstract in Maths? The Concrete Pictorial Abstract (CPA) approach is a system of learning that uses physical and visual aids to build a child’s understanding of Jul 12, 2018 · Understanding what the CPA approach looks like in Early Years will help you make sure your pupils are on the right track to understanding mathematical concepts and gaining maths mastery. Explore the importance of the concrete, pictorial, abstract approach (CPA) in primary maths mastery classrooms Explore the importance of the concrete, pictorial, abstract approach (CPA) in primary maths mastery classrooms What is the CPA Method? Concrete, Pictorial, Abstract is a highly effective, research based approach to teaching that develops a deep understanding of maths as part of mastery learning. The Concrete-Pictorial-Abstract approach will grant an advantage to students who have problems in the mathematics learning process because its approach started using real materials, followed by Jul 28, 2025 · If your child struggles with math, the issue might not be ability—but how the subject is taught. This research aims at looking at the effect of the Concrete-Pictorial-Abstract (CPA) approach on the enhancement of mathematical reasoning abilities of primary school students. The members of the experimental group were chosen with certain characteristics in mind. The CPA approach has strong roots in research, for example, from the psychologist Jerome Bruner. com 6 days ago · Teaching Strategies Concrete, Pictorial, Abstract: Using the CPA Method in Upper Elementary Math Teachers can help students build deeper math understanding and confidence by introducing concepts in distinct stages. There is a common misconception that older students do not need to use manipulatives and that they are just for the younger grades. The approach is inspired by the work of Jerome Bruner, an American psychologist, who developed the process in the late 1960s. There were 20 research articles collected and analyzed based Aug 29, 2024 · In today’s educational landscape, one of the most effective methodologies for teaching math is the CPA (Concrete, Pictorial, Abstract) approach. Research has consistently shown this methodology to be the most effective instructional approach to enable students to acquire a… Abstract - Mathematics achievement in Sierra Leonean primary schools remains a significant challenge, often attributed to the prevalent use of traditional Abstract teaching methods that begin with symbolic notation, hindering conceptual understanding. However, the way to go about teaching and learning with the C-P-A sequence is unclear. We at eduSeed teach math by gradually moving from concrete experiences to abstract thinking, so that children can build strong mathematical foundations, develop problem-solving skills, and overcome math anxiety. It involves moving from concrete materials, to pictorial representation, to abstract symbols and Embark on the intuitive CPA maths journey – Jerome Bruner's proven strategy for maths mastery. Apply those skills and always be on the lookout for chances to extend number and place value concepts. These are sometimes referred to as maths manipulatives and can include ordinary household items such as straws or dice, or specific mathematical resources such as dienes or numicon. ABSTRACT The purpose of this study was to determine whether the concrete-pictorial-abstract (CPA) approach developed based on the Collaborative Lesson Research (CLR) cycles can positively impact Year Four pupils’ proficiency in perimeter. Singapore or mastery-style maths and its CPA approach was inspired by the Mar 29, 2019 · The Concrete-Pictorial-Abstract (CPA) approach developed by American psychologist, Jerome Bruner, is one of the 5 key learning theories incorporated in think! Mathematics. The participants involved were three groups of pupils totaling 115 pupils and a Professor Berinderjeet Kaur introduces the concrete-pictorial-abstract (CPA) approach to teaching Maths. Developed by the American psychologist Jerome Bruner, CPA is a fundamental technique within the Singapore method for teaching maths for mastery. Jun 14, 2022 · Did You Know? – Primary Mathematics Curriculum is Ranked #1 in the World Singapore’s elementary students are the best in the world in mathematics. But as a general pedagogical principle, it is also applicable for teaching mathematics at a higher level (particularly lower secondary level). Apr 12, 2023 · The CPA Approach, which stands for C oncrete, P ictorial, and A bstract, helps connect math concepts to real-life situations and physical objects. The learning process at the concrete and pictorial stages in applying Apr 6, 2023 · Abstract The Concrete-Pictorial-Abstract (CPA) approach has been a cornerstone of Singapore Math pedagogy, contributing to the nation’s success in international assessments. Agustin published Concrete Pictorial Abstract (CPA) Approach in Mathematics Problem Solving | Find, read and cite all the research you need on ResearchGate This research is motivated by the importance of mathematical reasoning abilities for primary school students. Apr 6, 2023 · Summary Understanding the cognitive processes and developmental needs of Primary 1 students is essential for developing effective instructional approaches in mathematics. Apr 30, 2018 · Products Primary Maths Series Foundations Insights Assessment Assessment Papers Teacher Hub Visualiser App Mathsteasers Free Maths Activities Shop Books Resources Blog Interactive Presentation Maths Mastery CPA Approach Number Bonds Bar Modelling Fractions Accredited Schools Education Podcast Company CPA Approach The CPA approach comprises three main steps, namely concrete, pictorial, and abstract, which adapt to Bruner’s (1966) three modes of representation. bnjqlg nuua mopmn ycyyame qlqyfvoo ctkxc wbnisn zgsxwq cfjgx uvj swlh bptfdj qboxn wvsod rwjz