Palfish Singapore Math

About PalFish All-Round Mathematics
PalFish All-Round Mathematics is designed for children aged 3–12. Centered on Singapore’s CPA teaching approach, it integrates school mathematics, mathematical thinking, and advanced learning content. Through live, one-on-one bilingual instruction, the program helps children progress from understanding mathematical principles and building models to solving problems independently.
Teaching Highlights
[CPA Cognitive Modeling]Following the cognitive pathway of “concrete manipulation—pictorial representation—abstract modeling,” the program transforms abstract mathematical relationships into an observable, hands-on, and reasoning-based learning process. This helps children understand the logic behind mathematics rather than merely memorize formulas.
[Integrated Three-Part Curriculum]Built on school curriculum alignment, with mathematical thinking at its core and advanced extension as a supplement, the curriculum systematically integrates knowledge learning, skills development, and real-world application scenarios—avoiding the fragmentation often found between school math, thinking courses, and Olympiad math.
[Progressive Competency Framework]The program establishes a developmental pathway from introductory to advanced levels, covering number sense and calculation, spatial reasoning, logical reasoning, mathematical modeling and analysis, and innovative application. The curriculum combines Singapore Math principles with China’s mainstream textbook systems.
Key Features
[Live One-on-One Bilingual Teaching]Teachers focus on each individual student and dynamically adjust explanations and practice according to the child’s level of understanding. Bilingual mathematical expression also expands subject-specific vocabulary and nurtures an international perspective.
[Concrete Interactive Learning and Thinking Guidance]Through manipulatives, diagrams, dynamic demonstrations, and real-life problems, children are guided to observe, express, and reason. Heuristic questioning helps them develop transferable problem-solving strategies.
[Tiered Progression Planning]Based on each child’s age, foundation, and learning goals, the program flexibly combines school-based reinforcement, mathematical thinking development, and competition-oriented extension—supporting steady progress for learners from different starting points.
[Qualified Teachers and Flexible Scheduling]Teachers undergo screening, demo teaching, training, and teaching competency assessments, along with ongoing quality monitoring. Families can schedule classes around their own availability and select teachers who best suit their children.
[Learning Records and Post-Class Follow-Up]Class feedback, homework support, and dedicated service groups document each child’s learning journey, enabling parents to stay informed about their child’s mastery and recommended next steps.