Methods of Teaching Mathematics

Overview

Methods of Teaching is a core pedagogy topic in TS TET Paper I and Paper II Mathematics sections. It tests your understanding of how to effectively teach mathematical concepts to children—not just what to teach, but how to make learning meaningful and lasting.

This topic carries significant weightage because TET assesses your readiness to be a classroom teacher. Questions typically ask you to identify the most appropriate method for a given situation, distinguish between inductive and deductive approaches, or recognise characteristics of activity-based learning. Mastering this topic requires understanding the philosophy behind each method, its classroom application, and when to use which approach.

The three pillars you must know are: activity-based learning (learning by doing), problem-solving method (learning by thinking), and inductive-deductive methods (learning by reasoning). Each serves different purposes and suits different types of mathematical content.

Key Concepts

• **Activity-based learning** centres on hands-on experiences where children manipulate objects, conduct experiments, and discover concepts through doing rather than passive listening.

• **Problem-solving method** develops higher-order thinking by presenting students with unfamiliar situations that require applying known concepts in new ways—it follows the steps: understand → plan → execute → verify.

• **Inductive method** moves from specific examples to general rules (particular → general). Students observe patterns in multiple examples and then formulate the underlying principle.

• **Deductive method** moves from general rules to specific applications (general → particular). The teacher states the formula or rule first, then students apply it to solve problems.

• **Inductive method is discovery-oriented** and builds conceptual understanding; deductive method is **verification-oriented** and saves time but may lead to rote learning.

• **Child-centred methods** (activity-based, inductive, problem-solving) align with NCF 2005's vision of constructivist learning where children build their own understanding.

• **No single method is universally best**—effective teachers combine methods based on topic complexity, student readiness, and available time.

Formulas / Key Facts

| Method | Direction | Teacher's Role | Student's Role | Best For | |--------|-----------|----------------|----------------|----------| | Inductive | Examples → Rule | Facilitator | Active discoverer | New concepts, younger children | | Deductive | Rule → Examples | Instructor | Applier | Practice, revision, older students | | Activity-based | Concrete → Abstract | Organiser | Doer/explorer | Primary stage, abstract concepts | | Problem-solving | Problem → Solution | Guide | Thinker/solver | Application, higher classes |