Pedagogical Analysis of Sets in Mathematics: Key Concepts and Teaching Strategies
Explore the pedagogical analysis of SETS by Dr. Meena Sharma, focusing on major concepts like the meaning of SET, SET notation, classification of SETS, and fundamental operations. Understand minor topics such as examples of sets, SET notation methods, and types of SETS. Objectives include defining SETS, differentiating collections of objects, and demonstrating operations like union and intersection. Teaching methods involve inductive and deductive approaches, supported by activities and strategies to enhance students' understanding. Evaluation methods range from oral to written assessments, including essay-type and short answer tests.
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Presentation Transcript
Pedagogical Analysis of The Content (SETS) By:-Dr. Meena Sharma
Content Analysis It means breaking this topic(SETS) in the following major/minor concepts Major Points:- 1. Meaning and Definition of the term SET 2. SET notation 3. Classification of SETS 4. Fundamental Operations on SETS
Content Analysis(Cont.) Meaning and Definition of Term SET (Minor/Sub-Topics):- 1. Examples of Collection of Objects 2. Examples of Well Defined Collection of Objects 3. Defining the term SET SET Notation (Minor/Sub-Topics):- 1. Listing Method/Roaster Method 2. Rule Method
Content Analysis(Cont.) Classification of SETS (Minor/Sub-Topics):- 1. Empty Set 2. Sub-Set 3. Power Set 4. Null Set Fundamental Operations on SETS (Minor/Sub-Topics):- 1. Union of Sets 2. Intersection of Sets 3. Representation of Operations on Sets through Venn Diagram
Objectives Formulation Students are expected to demonstrate the following types of behavioral outcomes after going through these major and minor concepts of the topic SETS:- Define the term SET, give examples of Sets Differentiate b/w the collection of objects to be named/not to be named as Sets Name the 2 different modes of describing/writing Sets Give examples of Writing a set by Roaster Method, Rule Method Give examples of Different types of Sets Provide Definition of the operation-Union, Intersection and Representation on the Venn diagram
Listing Teaching Methods, Device, Activities and Techniques 1. Methods Used- Inductive and Deductive Method Devices- Explanation and Demonstration Strategy 2. Activities and Material Used Providing Examples of collection of objects Providing verbal/non-verbal illustration of the well defined collection of objects Helping the students to acquire the skill of writing sets through their symbolic language Demonstrating the concept and skill of making Venn Diagrams for Representing Sets and their operations
Evaluation Procedure The various modes of evaluations shall be conducted be it oral/written Written Modes Can Involve-Essay Type, Short Ans Type and Objective Type Written test for evaluation of the topic SETS :- 1. Define the term set by giving 2 examples 2. Write the following sets in its symbolic language- Empty Set, Sub-Set 3. Give one examples of each-1.)Equal Set 2.)Empty Set 3.)Union of Sets
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