Mathematics
Discover how we nurture confident problem solvers through hands-on, real-world maths learning. Explore our programmes designed to build strong reasoning and problem-solving skills from Primary 1 to 6.
Vision
Every SKGian is a Confident Problem Solver
Mission
To nurture numeracy, logical reasoning and problem solving skills and interest in learning in our students so that they are ready for everyday life and learning at the next level and beyond.
Department Aims
At the end of Primary 6, our students will:
acquire mathematical concepts and skills for everyday use and continue learning in mathematics;
develop critical thinking, reasoning, communication, problem solving and metacognitive skills;
cultivate curiosity and foster interest in mathematics; and
become independent and self-directed learners.
Learning Experiences and Key Programmes
Learning Experiences
It matters how our students learn.
Mathematical concepts are abstract. To develop an understanding of these abstract concepts, it is necessary to start from concrete objects, examples and experiences that students can relate to. Therefore, learning experiences are sequenced based on Concrete-Pictorial-Abstract (CPA) approach.
Different concepts require different approaches. The instructional strategies and resources selected in designing learning experiences take into consideration of the nature of the concepts. Below are some examples.
Learning about Numbers
Students learn by doing and applying learning. They use concrete manipulatives and pictorial representations such as fraction bars, number discs and number bonds to get a sense of the number concepts. They are then guided to connect the concrete and pictorial experiences to the abstract concept by explaining, reasoning and applying the concepts and skills to new problems. This way, students make meaning of the operations and algorithms involving numbers.
Learning about Geometry and Measurements
Students explore, investigate and discover geometric shapes and properties and measurements through hands-on activities.
They discover and justify how formulas such as area of triangles and circles come about the use of concrete models and manipulatives and online applets.
Learning about Statistics
Students carry out simple surveys that involve data collection and use of ICT tools to generate tables and graphs to represent the data. In the process, students discuss and pose questions to deepen learning about reading, comparing and analyzing data, for example, “What data to collect’, ‘what is the purpose?’ and ‘How to present the data to convey the information gathered most clearly and effectively’.
Problem Solving
Mathematical problem-solving is a central focus of the mathematics curriculum. It involves the application of mathematical concepts and skills to solve a variety of problems including routine and familiar, non-routine, open-ended and unfamiliar problems. Therefore, students are taught general problem-solving strategies such as heuristics and ways of thinking and approaching a problem. They will also learn how to approach problems systematically. For example, students are introduced to the George Polya’s four-step problem solving process in class and heuristics such as working backwards, guess and check, systematic listing, making supposition, etc.
Mastery Phase of learning
We strive to enable all students achieve academic mastery. At the end of learning key concepts, skills or problem solving skills, students consolidate and extend their learning which include one or more of the following:
Consistent and motivated practice with understanding is emphasized.
Students consolidate and deepen their learning through tasks that allow them to reflect on their learning. This is a habit that supports the development of metacognition. Examples are the use of note-taking and consolidation in math journal book and self and peer assessment checklist.
Students who are more mathematically inclined will have opportunities to extend their learning by engaging in more challenging tasks that stretch their thinking and deepen their understanding.
Mathematics Olympiad Programme
The Mathematics Olympiad programme provides opportunities for students who are more mathematically inclined to in P4, P5 and P6 to extend their learning. Students are exposed to higher-order thinking problems and are equipped with a repertoire of problem-solving strategies and higher-order thinking skills to engage in problem solving. In the programme, students are expected to reason, justify and explain their solutions to their peers. These enable students to sharpen their mathematical thinking, reasoning, communication and problem-solving skills.
Mathematics Trail
Mathematics Trail in SKGPS provides students with the opportunity to relate mathematical concepts and skills that they have learnt to the real world. Students work in teams to apply mathematical concepts and skills such as the use of mathematical tools and estimation to complete authentic learning tasks within the school compound. Learning of mathematics becomes fun, meaningful and relevant for the students.
