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.
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.
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.
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) |
Worked Examples
Example 1: Identifying the Method
Question: A Class 8 teacher asks students to measure the shadow of a stick at different times of the day, record observations, and determine the relationship between sun position and shadow length. Which teaching method is being used?
Solution:
- Step 1: Identify key features—students are observing, recording data, finding patterns themselves
- Step 2: Teacher has not given the answer directly; students discover it
- Step 3: This involves systematic observation but not controlled variable manipulation
- Answer: Inquiry Method (specifically guided inquiry, as teacher provided the task structure)
Example 2: Project Method Steps
Question: A teacher assigns students to study "Water Conservation in Our Village." Arrange the project steps correctly.
Steps given: (a) Presentation of findings (b) Selection of topic (c) Planning activities (d) Execution and data collection (e) Evaluation
Solution: The correct sequence in Project Method:
- Providing a situation → (b) Selection of topic
- Planning → (c) Planning activities (who does what, timeline, resources)
- Execution → (d) Execution and data collection (field visits, interviews, measurements)
- Recording/Reporting → (a) Presentation of findings
- Evaluation → (e) Evaluation (self, peer and teacher assessment)
Answer: b → c → d → a → e
Example 3: Experimental Method Application
Question: Design a simple experiment to test "Do plants need sunlight for photosynthesis?"
Solution:
- Hypothesis: Plants require sunlight to produce food (starch)
- Materials: Two potted plants of same type, black paper, iodine solution
- Procedure:
- Keep one plant in sunlight, cover the other completely with black paper
- After 3 days, pluck a leaf from each plant
- Boil leaves in alcohol to remove chlorophyll
- Test with iodine solution
- Observation: Sunlight-exposed leaf turns blue-black; covered leaf remains brown
- Conclusion: Sunlight is necessary for photosynthesis
- Variables: Independent = sunlight exposure; Dependent = starch production; Controlled = plant type, water, soil
Common Mistakes
| Wrong Thinking | Correct Understanding |
|---|---|
| Inquiry and experimental methods are the same | Inquiry focuses on questioning and discovery (may not involve controlled experiments); experimental method specifically requires hypothesis testing with variable control |
| Project method means any group activity | True projects must be purposeful, extended over time, student-driven, and result in a tangible product or presentation |
| Teacher has no role in inquiry method | Teacher plays a crucial role—designing questions, providing resources, scaffolding learning and guiding discussions |
| Experimental method can only be done in laboratories | Simple experiments can be conducted in classrooms or outdoors using everyday materials |
| These methods replace textbooks entirely | These methods supplement textbooks; they help students understand concepts that textbooks introduce |
Quick Reference
- Inquiry Method: Question → Investigate → Discover → Reflect (Teacher as facilitator)
- Project Method: Kilpatrick; 4 types—Producer, Consumer, Problem, Drill; learning by doing
- Experimental Method: Hypothesis → Experiment → Observation → Conclusion (Scientific method)
- 5E Model for Inquiry: Engage, Explore, Explain, Elaborate, Evaluate
- Key Advantage of All Three: Develops critical thinking, problem-solving and scientific temper
- Limitation Common to All: Time-consuming; requires resources and skilled facilitation