Questioning is one means to get students involved in instruction.
A great way to learn is by asking questions. According to this method of teaching by asking questions: The teacher begins by asking a question about an issue to be explored with the class. Since I am specialized in math I would like to demonstrate a Geometry activity using the questioning method to reach to the solution:
Activity: Given an isosceles triangle ABC, with vertex A, <BAD is congruent to <CAD and D is a point on BC as shown in the diagram : Prove : BD is congruent to DC.
What is given? (read the activity and deduce the given).
What is required to find? ( read the activity and write what is required)
Assessing current understanding (prior knowledge): What is the definition of two congruent segments?
How do we prove two segments are congruent?
What do we prove first to deduce that BD is congruent to DC? Increasing student motivation: What is the definition of two congruent triangles? How we prove two triangles are congruent? What theorems or postulates lead us to prove two triangles are congruent? (We have seen 3 theorems before to prove 2 triangles are congruent).
How we prove triangle ABD is congruent to triangle CBD? (Did you notice which theorem is applicable in this proof?) Guiding new learning: What is the definition of an isosceles triangle and what you can conclude from the given isosceles triangle ABC? ( Use the given) Is there a common side to both triangles ABD and ACD? (Inferences from the diagram) Which theorem is applicable to prove triangle ABD is congruent to triangle ACD? ( SAS, ASA or SSS Theorem) Are the 3 conditions of SAS postulate satisfied?( What are the two corresponding sides and the included angles) What can we deduce from the congruency of these two triangles? ( definition of congruent triangles)
( Note: The statement and reasons below will be deduced step by step by the students after answering each of the above questions). Proof:
Statement Reason
1)ABC is an isosceles triangle 1) Given
2) AB is congruent to AC 2)Definition of an isosc. Tria.
3) AD is congruent to AD 3) Reflexive property .
4) <ABD is congruent to < ACD 4) Given
5) Triangle ABD is congruent to ACD 5) SAS postulate
6) AD is congruent to BD 6)Corresponding sides congruent Triangles are congruent.
Great thought Ahmad! Questioning techniques is important because it can stimulate learning, develop the potential of students to think, drive to clear ideas, stir the imagination, and incentive to act. It is also one of the ways teachers help students develop their knowledge more effectively
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