Methods of Teaching: Inquiry, Project and Experimental Methods

Overview

Methods of teaching in mathematics and science form a crucial component of the CG TET Paper II pedagogy section. This topic tests your understanding of how students learn best when actively engaged rather than passively receiving information. The three methods covered here—inquiry, project and experimental—represent the shift from teacher-centred to learner-centred education emphasized in NCF 2005.

For CG TET, expect 2–4 questions on distinguishing between these methods, identifying appropriate classroom situations for each, and understanding the teacher's role in facilitating learning. Questions often present a classroom scenario and ask which method is being used or which would be most suitable. Mastery requires knowing not just definitions but the step-by-step process, advantages, limitations and practical applications of each method.

These methods align with constructivist principles where knowledge is built through experience. In Chhattisgarh's context, connecting science and mathematics to local environments—forests, agriculture, tribal crafts—makes these methods particularly relevant.

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Key Concepts

• **Inquiry Method** is based on the principle that learners construct knowledge by asking questions, investigating and discovering answers themselves. The teacher acts as a facilitator, not an information giver.

• **Project Method** involves students undertaking extended, real-world tasks that integrate multiple subjects and skills. It was developed by W.H. Kilpatrick based on John Dewey's philosophy of learning by doing.

• **Experimental Method** follows the scientific method—hypothesis, controlled experimentation, observation and conclusion. It develops scientific temper and objectivity in students.

• **Teacher's Role Shift**: In all three methods, the teacher moves from being a "sage on the stage" to a "guide on the side"—questioning, prompting and supporting rather than lecturing.

• **Active Learning**: These methods prioritize hands-on experience, critical thinking and problem-solving over rote memorization.

• **Integration of Knowledge**: Project and inquiry methods naturally connect mathematics, science and environmental studies, reflecting real-world complexity.

• **Assessment Focus**: Evaluation shifts from written tests alone to observation, portfolios, presentations and practical demonstrations.

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Key Facts and Definitions

| Term | Definition/Fact | |------|-----------------| | Inquiry Method | Learning through questioning, investigation and discovery; 5E Model (Engage, Explore, Explain, Elaborate, Evaluate) | | Project Method | Purposeful activity carried out in a social environment; Kilpatrick (1918) | | Four Types of Projects | Producer, Consumer, Problem and Drill projects | | Experimental Method | Systematic process: Observation → Hypothesis → Experiment → Result → Conclusion | | Heuristic Approach | "Find out yourself" method; related to inquiry; coined by H.E. Armstrong | | Constructivism | Learning theory underlying all three methods; Piaget and Vygotsky | | NCF 2005 Emphasis | Shift from textbook-centric to activity-based learning | | Variables in Experiment | Independent (changed), Dependent (measured), Controlled (kept constant) |