In problem solving method, a systematic and orderly process is adopted for…

Concept: In pedagogy, a 'method' names the overall instructional strategy a teacher uses to help students learn -- not a single task performed inside it. The problem-solving method is one such teaching strategy: it engages learners in a fixed, orderly sequence of steps (recognising the problem, framing a hypothesis, gathering evidence, examining it, and reaching a conclusion) precisely so that the whole sequence functions as a vehicle for instruction and learning. Data collection, analysis, and evaluation are individual steps performed along the way, not the larger activity the method as a whole exists to carry out.

Application: The stem asks what the systematic and orderly process in the problem-solving method is adopted to carry out. Since the method is a teaching strategy, its ordered steps exist to guide the learner through building understanding and skill -- that is, to carry out the teaching-learning process itself. Any data-gathering, analysing, or evaluating that happens along the way is done in service of that instructional purpose, not as a stand-alone end.

• Data collection is one intermediate step in the sequence -- gathering evidence to test a hypothesis -- not the overall activity the whole method is organised to carry out.

• Evaluation is the concluding step of the sequence, where the tested hypothesis or proposed solution is checked for validity -- again a single stage, not the broader activity the ordered steps serve.

• Analysis is the stage where the gathered evidence is examined for patterns before a conclusion is drawn -- one more step nested inside the sequence, not the wider process it exists to carry out.

Cross-check: Teacher-training (B.Ed) pedagogy material describes the problem-solving method's ordered steps as existing to facilitate learning, with data collection, analysis, and evaluation appearing as embedded stages within that larger instructional sequence rather than as competing descriptions of what the method as a whole carries out -- which confirms the teaching-learning process as the answer.