• Math In Focus/Singapore Math

    Strategies and Methods
    Math in Focus is based upon the use of mental computation, the model approach, and the heuristics which enhance teaching and learning. Mental computation is paramount if children are to master mathematical skills and problem solving. With speed and the ability to operate mentally, children are able to excel in math. The program introduces not only the mental strategies, but also prepares students to perform mental sums through the use of number bonds and manipulatives like unit cubes and the math balance. The use of the model approach or bar modeling is based on the fact that children at the elementary stage are unable to solve abstract problems. The introduction of the model approach helps children to visualize and see connections between facts and information embedded in the questions. This ability to see the connections helps pupils to solve difficult and complicated problems. This is the strength of the model method.  

    Taken from: 
    Math in Focus:
    Singapore Math by Marshall CavendishThe Underpinning Concept
    By Dr. Fong Ho Kheong
    Associate Professor
    Head of Math and Sciences
    Bahrain Teachers College,
    University of Bahrain

    Research and Efficacy

    The principles that underly the Singapore Math approach are drawn from research that has identified effective approaches to mathematics teaching.  This link provides information regarding the research behind the program's success:

    All skills, processes and concepts develop problem-solving attitude and understanding. Singapore Math teaches concepts using a concrete–pictorial–abstract learning progression to anchor learning in real-world, hands-on experiences. The goal is to develop deep understanding through visualization. Manipulatives are a constant in the classroom, and teachers use them to demonstrate the concepts being taught. Examples of concrete and pictorial representations include the use of Number Bonds, Ten Frames,  Bar ModelsPlace Value Disks and charts
    A distinguishing characteristic of math taught in Singapore, and of Math in Focus, is the use of model drawing or "bar modeling," a systematic method of representing word problems and number relationships that is explicitly taught beginning in second grade.



    A number bond is a mental picture of the relationship between a number and the parts that combine to make it. The concept of number bonds is a very basic and important foundation for understanding how numbers work. A whole thing is made up of parts. If you know the parts, you can put them together (add) to find the whole. If you know the whole and one of the parts, you take away the part you know (subtract) to find the other part. Number bonds let children see the inverse relationship between addition and subtraction.
    Scope and Sequence
    The scope and sequence of Math in Focus addresses the need for a coherent sequence of topics giving students time to master foundational topics and building on them in subsequent years.  Each grade level covers fewer topics but more in depth. 
    Website Resources
    Thinking Blocks - Can access via an app or PC.
    Math Playground - A variety of bar modeling as well as quick fact recall games
    Greg Tang Math - This site includes a variety of practice opportunities including number bonds, place value and math challenges.