Which one of the following is a teacher-centred method of teaching mathematics?

The correct answer is Lecture Method.

Explanation:

In educational methodology, teaching methods are broadly classified into teacher-centred and learner-centred (student-centred) approaches:

1. Teacher-Centred Methods: In these methods, the teacher plays the central, active role, while students act primarily as passive listeners. The teacher transmits information, concepts, and instructions directly to the class. The Lecture Method is a classic example of a teacher-centred method because the teacher delivers a speech or talk on a topic, and students take notes with minimal active participation or inquiry.

2. Learner-Centred Methods: In these methods, the focus is on the student's active engagement, exploration, critical thinking, and problem-solving skills.
- Group Discussion Method: Encourages collaborative learning and interaction among students.
- Problem-Solving Method: Encourages students to analyze and solve problems independently or in groups.
- Heuristic Method: Developed by H. E. Armstrong, this method places the student in the role of a discoverer or researcher to find solutions through self-exploration.

Therefore, among the given options, the Lecture Method is the teacher-centred method of teaching mathematics.