Discovering Mathematics (2nd Edition) is a series designed for the students in secondary schools and approved by the Ministry of Education, Singapore, for the latest secondary Mathematics syllabus. The series prepares students for the Singapore Cambridge O-Level examinations and guides students to understand and internalize mathematical concepts and apply them in real life.
The emphasis of this series is on empowering students to learn mathematics independently and effectively. Depending on the topics covered, different approaches are used to present different concepts to facilitate students’ understanding.
This series includes clear and illustrative examples, class activities, and diagrams to help students understand the concepts and apply them.
- Chapter Opener: Introduces a chapter by establishing a connection between the topic and real-world situations. Learning objectives for the chapter are also provided.
- Class Activities: Allows students to learn mathematical concepts through exploration and discovery
- Examples and Try it: Worked examples have been included to facilitate students’ understanding of concepts and show how ideas and reasoning can be expressed clearly in mathematical language. Analyses and hints are given to illustrate problem-solving skills. After each worked example, a Try it! is provided for students to practice a similar question and find out if they have understood the concept(s) presented earlier.
- Exercises: Each section of a chapter includes an exercise for the students. The questions in each exercise have been sequenced as Level 1, 2, and 3. These questions encourage students to think analytically, reason, and communicate effectively in mathematical language. Level 1: Simple questions involving direct application of the concepts. Level 2: More challenging questions on direct applications. Level 3: Questions that involve real-life applications, thinking skills, or presentation of open-ended answers.
- Review Exercises: A Review Exercise is inserted after several chapters. This allows students to check their mastery of the concepts that have been learned. Problem-solving Processes and Heuristics. Problems in Real-world Contexts
- In a Nutshell: Summarises the important concepts in each chapter to help students recap and revise them.
- Write in Your Journal: At the end of each chapter, students will be encouraged to write about their learning experiences.
- Remark: Some important information that is of interest to students has been included.
- Recall: Concepts or definitions covered earlier have been included to help students recall and relate them to the topics being studied.
- Discuss: Questions concerning the concepts being taught have been included to encourage meaningful interaction between the teacher and the students.
- Spot Check: Some short questions are posed to help students clarify the concept(s) being taught.
- Maths Matter: Interesting facts related to mathematics, mathematicians, and the history of mathematics, are presented to make the learning process more enriching.