Methods of Teaching — Inquiry, Project and Experimental Methods
Overview
Methods of teaching form the backbone of effective mathematics and science pedagogy. For Assam TET Paper II, this topic tests your understanding of how teachers can move beyond rote learning to engage students in active knowledge construction. The three methods covered here—inquiry, project and experimental—represent learner-centred approaches that align with NCF 2005's vision of making children "constructors of knowledge" rather than passive recipients.
You may be asked to identify which method suits a given classroom situation, distinguish between methods, or recall key steps in each approach. Understanding the practical application of these methods in Assam's multilingual, resource-varied classrooms adds context to your preparation.
Mastering this topic also helps you answer pedagogy questions across both mathematics and science sections, as examiners frequently test whether candidates can translate theoretical knowledge into classroom practice.
Key Concepts
- Inquiry Method places the student as an investigator who asks questions, gathers data, and arrives at conclusions through guided discovery rather than direct instruction.
- Project Method involves students working on extended, real-world problems that integrate multiple subjects and culminate in a tangible product or presentation.
- Experimental Method emphasises hands-on laboratory or field work where students manipulate variables, observe outcomes, and verify scientific principles.
- All three methods shift the teacher's role from "sage on the stage" to "guide on the side"—facilitating rather than dictating learning.
- Constructivism underpins these methods: learners build understanding by connecting new experiences to prior knowledge.
- These approaches develop higher-order thinking skills—analysis, synthesis, evaluation—aligned with Bloom's taxonomy.
- Child-centred learning is the common thread: the learner's curiosity, pace and context drive the process.
- In Assam's context, linking these methods to local environment (Brahmaputra ecosystem, tea gardens, Muga silk production) makes learning meaningful and culturally relevant.
Key Facts and Definitions
| Term | Definition / Fact |
|---|---|
| Inquiry Method | Teaching strategy where students formulate questions, investigate, and construct explanations; based on scientific method. |
| 5E Model | Common inquiry framework—Engage, Explore, Explain, Elaborate, Evaluate. |
| Project Method | Introduced by William Heard Kilpatrick (1918); learning through purposeful activity. |
| Types of Projects | Constructive (building a model), investigative (survey), aesthetic (drama/art), problem-solving (real-life issue). |
| Experimental Method | Students perform controlled experiments; manipulate independent variable, measure dependent variable, control extraneous variables. |
| Hypothesis | Tentative, testable statement predicting the outcome of an experiment. |
| Inductive Approach | Moving from specific observations to general principles (common in inquiry and experimental methods). |
| Deductive Approach | Moving from general principles to specific applications (used in verification experiments). |
Worked Examples
Example 1 — Inquiry Method in Science (Class VII)
Topic: Factors affecting seed germination.
| Stage | Teacher / Student Activity |
|---|---|
| Engage | Teacher shows two pots—one with sprouted seeds, one without. Asks "Why did only one pot sprout?" |
| Explore | Students form groups; each group tests one factor (water, light, temperature) using moong seeds. |
| Explain | Groups share observations; teacher guides discussion toward the concept of conditions for germination. |
| Elaborate | Students predict what would happen if seeds were kept in a refrigerator. |
| Evaluate | Written reflection: "List three conditions necessary for germination with evidence from your experiment." |
Why it works: Students discover principles themselves; learning is memorable and transferable.
Example 2 — Project Method in Mathematics (Class VIII)
Project Title: "Water Usage Survey in Our Village"
| Step | Activity |
|---|---|
| 1. Purposing | Teacher discusses water scarcity in Assam's char areas; students choose to survey household water use. |
| 2. Planning | Students decide sample size (30 families), design questionnaire, assign roles. |
| 3. Executing | Data collection over one week; students record daily water consumption in litres. |
| 4. Evaluating | Data organised in tables; mean, median and mode calculated; bar graph drawn. |
| 5. Recording | Group report with findings and suggestions presented to class; charts displayed. |
Learning outcomes: Ratio-proportion, data handling, teamwork, civic awareness—all integrated.
Example 3 — Experimental Method in Science (Class VI)
Aim: To show that air exerts pressure.
| Step | Procedure |
|---|---|
| Hypothesis | "If air exerts pressure, then an inverted glass of water covered with cardboard will not spill." |
| Materials | Glass, water, stiff cardboard. |
| Procedure | Fill glass with water, place cardboard on top, invert carefully. |
| Observation | Water does not fall; cardboard stays in place. |
| Conclusion | Atmospheric pressure pushing upward on cardboard is greater than the weight of water pushing down. |
| Extension | Repeat with different sized glasses; relate to drinking through a straw. |
Common Mistakes
| Wrong Thinking | Correct Fix |
|---|---|
| Confusing inquiry with simply asking questions in class. | True inquiry involves systematic investigation and evidence-based conclusions, not just Q&A. |
| Assuming project method is any group assignment. | A genuine project must have purposeful activity, student-led planning, and a real-world connection—not just a shared worksheet. |
| Believing experimental method requires a formal lab. | Simple experiments can be done with everyday materials; focus is on variable manipulation and observation, not fancy equipment. |
| Thinking these methods replace all direct instruction. | They complement direct teaching; concepts often need initial teacher explanation before student exploration. |
| Ignoring assessment in learner-centred methods. | Continuous formative assessment (observation, rubrics, reflective journals) is essential throughout the process. |
Quick Reference
- Inquiry = Question → Investigate → Conclude (student as scientist).
- Project = Purpose → Plan → Execute → Evaluate → Record (Kilpatrick's steps).
- Experiment = Hypothesis → Procedure → Observation → Conclusion (controlled variable testing).
- Teacher's role in all three: facilitator, not lecturer.
- NCF 2005 advocates these methods to reduce rote learning and connect knowledge to life.
- Local context (Assam's floods, biodiversity, silk, tea) enriches projects and inquiries.