In my personal experience and understanding, Singapore math is definitely a mastery-based approach rather than a spiral one. This means that the focus is on deep understanding and mastery of mathematical concepts before moving on to new ones. The curriculum is intentionally designed to build upon previously learned concepts in a carefully sequenced manner.
One key feature of the Singapore math method is the CPA (Concrete, Pictorial, Abstract) progression. This approach starts with concrete manipulatives, such as counters or cubes, to help students develop a hands-on understanding of mathematical concepts. From there, students progress to using pictorial representations, such as drawings or diagrams, to visualize and solve problems. they move on to the abstract stage, where they use numbers and symbols to represent mathematical ideas. This progression allows students to gradually transition from the concrete to the abstract, ensuring a solid foundation of understanding.
Another important aspect of Singapore math is the use of number bonds. Number bonds are a visual representation of the relationship between numbers, showing how a number can be broken down into its component parts. This helps students develop a strong understanding of number relationships and builds their mental math skills.
Bar modeling is another powerful tool used in Singapore math. It involves using visual bar diagrams to represent and solve word problems. By breaking down complex problems into simpler, visual representations, students are able to better understand the problem and develop strategies for solving it. Bar modeling helps students make sense of the problem and build problem-solving skills.
Mental math is also emphasized in the Singapore math curriculum. Students are encouraged to develop efficient mental strategies for solving problems, rather than relying solely on written methods. This helps to strengthen their number sense and promotes flexibility in thinking.
The Singapore math method is designed to ensure mastery of mathematical concepts. By carefully sequencing concepts, using concrete, pictorial, and abstract representations, emphasizing number bonds and bar modeling, and promoting mental math strategies, students are able to develop a deep understanding of mathematics. This approach allows students to build a strong foundation of knowledge and skills, which they can then apply to more complex problems and higher-level mathematics.