About This Book
New Discovering Mathematics 1A · Interactive Edition
New Discovering Mathematics is a series of textbooks written with a learner-centric approach that builds upon the knowledge and skills learnt in primary school. It is based on the latest O-Level Mathematics syllabus implemented from 2020 by the Ministry of Education of Singapore.
The emphasis of this series is on empowering students to learn mathematics independently and effectively with focus on fostering interest in mathematics. New Discovering Mathematics is organised into three content strands: Numbers and Algebra, Geometry and Measurement, and Statistics and Probability to facilitate in the acquisition of concepts and skills. Activity-based learning in the form of class activities and exercises allows students to play an active role in the learning process, enhancing the learning experience. This enables the development of a deeper understanding and appreciation of mathematics through greater awareness of the connections between ideas within mathematics as well as between mathematics and other subjects.
The content is structured to develop confidence in students by establishing strong mathematical fundamentals. The examples provided are clear and engaging with diagrams, where appropriate, to illustrate key concepts. Students are encouraged to self-reflect and contextualise what they have learnt, promoting metacognitive awareness. This encourages them to go beyond simply presenting a solution to a mathematical problem, which supports good learning habits.
The series also aims to develop reasoning, communication, modelling and metacognitive skills through the activities and exercises, including problem-solving tasks and problems in real-world contexts. Students are provided with opportunities to apply mathematical skills and concepts to solve these problems.
Information and Communication Technology (ICT) skills and coding tasks are included to develop students' computational thinking. National Education (NE) values have been incorporated whenever appropriate.
Three content strands in this volume (1A)
Numbers and Algebra
Chapters 1–5: factors and multiples; real numbers; approximation and estimation; basic algebra and algebraic manipulations; simple equations in one variable.
Geometry and Measurement
Chapters 6–7: angles and parallel lines; triangles, quadrilaterals and other polygons.
Statistics and Probability
Not covered in 1A. Introduced in later volumes.
About this Interactive Edition
This digital companion is designed for Chinese students who are learning mathematics in English. The interactive features are layered on top of the textbook content — you should still read the printed book; this version simply makes the practice and review parts work better on a tablet.
What it adds:
- Bilingual word lookup — tap any English word to see a Chinese definition; mathematical terms (factor, multiple, prime…) come with rich notes and worked examples
- Auto-graded Activities and Practice Exercises — fill in, tap "Check", get instant feedback
- Graduated hints — wrong answers don't immediately reveal the solution; you get three escalating hints, then the answer, and then you must redo the question from memory
- English-first reference answers for open-ended questions, with a 30-second reading gate before the Chinese version unlocks
- Concept checkpoints at the end of each section, feeding a cross-chapter review pool
- Vocabulary review with spaced repetition — every Tier-1 math term must be answered correctly; missed terms come back on a forgetting-curve schedule (1 / 3 / 7 / 14 / 30 / 90 days)
- Resume from where you stopped — open the home page and you'll be offered a one-tap return to your last section