Singapore Math is a highly effective teaching method developed by the Ministry of Education in Singapore. For years, including the most recent evaluation in 2022, Singapore students have ranked no. 1 in the world for math on the PISA test. This international study of the different education systems evaluates the knowledge of 15-year-old students in participating countries.
A big reason why this approach has been so successful is because of the focus on problem-solving, which develops students' critical thinking and analytical skills. It also helps students cultivate a deep understanding of mathematical concepts. For instance, instead of just memorizing that 3 x 3 = 9, they learn that "times" means adding the number 3 three times (3+3+3 = 3 x 3).
What is Singapore Math?
Singapore Math is structured to build a strong foundation in mathematics through a carefully designed sequence of topics. It incorporates a unique approach known as the Concrete-Pictorial-Abstract (CPA) progression. This approach begins with concrete experiences using physical objects, transitions to pictorial representations, and finally moves to abstract symbols and equations. This progression helps students grasp complex concepts more effectively. Here are the other key components of the Singapore Math curriculum:
Number Bonds: A foundational concept in early grades, number bonds help students understand the relationship between numbers and how they can be broken down into parts.
Model Drawing: Also known as bar modeling, this technique helps students visualize and solve word problems by drawing bars to represent different quantities.
Focus on Problem Solving: The curriculum emphasizes the importance of problem-solving skills, encouraging students to think critically and develop strategies for tackling various types of problems.
Spiral Learning: Concepts are revisited and expanded upon at higher grade levels, ensuring students retain and deepen their understanding over time.
Emphasis on Mental Math: Students are encouraged to develop mental math skills, enhancing their ability to perform calculations quickly and accurately without relying on written methods.
What is the Singapore Math Curriculum? In Singapore, "Singapore Math" is simply known as the math syllabus designed and implemented by Singapore's Ministry of Education (MOE). The Singapore Math curriculum is a well-structured and highly effective approach to teaching mathematics from kindergarten to middle school. It is known for its rigorous standards, emphasis on problem-solving, and deep understanding of mathematical concepts.
The Singapore Math syllabus is guided by a framework that emphasizes:
Conceptual Understanding: Ensuring students grasp underlying mathematical concepts.
Skill Proficiency: Developing procedural fluency and computational skills.
Problem Solving: Fostering critical thinking and application of knowledge to solve problems.
Attitudes and Metacognition: Encouraging positive attitudes towards mathematics and awareness of one's own thought processes.
Primary Mathematics is the original curriculum used in Singaporean schools. It is divided into several levels, typically covering grades 1 through 6. The curriculum includes textbooks, workbooks, and teacher's guides. The syllabus is generally divided into several key stages:
In the beginning, starting from kindergarten to the second grade, students focus on developing a strong number sense, basic addition, and subtraction. They are introduced to number bonds and simple word problems.
Lower Primary (Grades 1-2):
Numbers: Counting, addition, subtraction, multiplication, and division.
Shapes and Space: Basic geometry, recognition of shapes, and understanding spatial relationships.
Measurement: Length, weight, volume, and time.
Data Representation: Introduction to picture graphs.
Next, from grades 3 to 6, students learn multiplication and division, fractions, introduction to decimals, more complex word problems, and the use of bar models.
Upper Primary (Grades 3-6):
Numbers: More complex operations with whole numbers, fractions, and decimals.
Geometry: Properties of shapes, symmetry, and basic transformations.
Measurement: Area, perimeter, volume, and mass.
Algebra: Introduction to algebraic expressions and simple equations.
Data Handling: Interpretation of bar graphs, line graphs, and pie charts.
Ratio and Proportion: Basic concepts of ratio and proportionality.
Finally, in grades 7 to 12, advanced topics like algebra, geometry, ratios, and proportional reasoning, with continued emphasis on problem-solving and model drawing.
Lower Secondary (Grades 7-8):
Numbers and Algebra: Integers, rational numbers, algebraic expressions, and equations.
Geometry and Measurement: Angles, properties of polygons, circles, and coordinate geometry.
Statistics and Probability: Data analysis, probability, and statistical measures.
Functions and Graphs: Introduction to functions, graphing linear equations.
Upper Secondary (Grades 9-10):
Advanced Algebra: Quadratic equations, inequalities, and polynomials.
Trigonometry: Sine, cosine, tangent, and applications.
Calculus: Basic differentiation and integration (for higher-level tracks).
Advanced Geometry: Geometric proofs, properties of circles, and three-dimensional geometry.
Statistics and Probability: Advanced data analysis, probability distributions, and sampling.
Pre-University (Grades 11-12)
H1 and H2 Mathematics (For students on the Junior College track):
H1 Mathematics: Functions and graphs, sequences and series, probability, and basic calculus.
H2 Mathematics: More advanced topics, including vectors, complex numbers, advanced calculus, and differential equations.
H3 Mathematics: For students with a strong interest in mathematics, covering university-level topics such as more complex calculus, linear algebra, and advanced probability and statistics.
But this isn't the only Singapore Math curriculum. Math in Focus was developed for the U.S. market. This curriculum aligns with the Common Core State Standards. It retains the core principles of Singapore Math while adapting to the American educational context.
Dimensions Math is a more recent curriculum that builds on the strengths of Primary Mathematics, offering a more comprehensive approach with enhanced visuals and explanations. It is suitable for both school and home use.
Discovering Mathematics is a curriculum designed for middle school students, focusing on deepening their understanding of mathematical concepts and preparing them for higher-level math.
Find Singapore Math Courses on LingoAce 在线数学课 Looking for more fun ways to help your kid improve their math skills? LingoAce now offers small group classes for children ages 5-13 to learn math online. Our courses are taught by professional math teachers with experience teaching in American and Canadian classrooms. Give us a try for free.
