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Teaching and Learning in Mathematics - Coggle Diagram
Teaching and Learning in Mathematics
Concept of Teaching
IGI Global:
Organized sharing of knowledge and experiences
B.O.Smith
Teacher planned actions to make Learning happen
Farrant(1980);
Teacher makes Learning Easier
Edmund Amidon (1967):
Interaction between Teachers and Students.
Frimpong (1990);
Respectful transfer of knowledge, skills and values.
Teaching Goals
Showing Real life and Transforming Lives
Belief in power of Education
Making Math Understandable
Helping Students for making them Success
Motivating and Inspiring a love of learning
Teacher Role
Facilitating
Guiding
Inspiring
Planned Activities
N.L. Gage(1963):
Teacher influences student abilities and growth
Cognitive Learning Theories
Cognition Fundamental
Cognitivism Theory
Piaget's Theory (Cognitive Development)
Children as a little Scientists
Key Cognitive Processes
Schema: Mental Framework
Assimilation: Fit New information into existing Schema
Accommodation: Adjust schema for new information
Equilibrium: Balance between Assimilation and Accommodation
Cognitive Stages
Sensory Motor (0-2) years: Learn through senses and actions
Pre-operational (2-7) years: Develops languages and uses symbols
Concrete Operational (7-11) years: Think logically about concrete events.
Formal Operational (11+) years: Develops abstract and hypothetical thinking
Implication for Teaching
Child centered learning
Teacher as facilitator
Encourage critical thinking
Emphasis on Discovery Approach
Burner's Theory ( Representation of Knowledge)
Learning is an Active Process
Goal is to Create Autonomous Learners
Purpose is facilitating thinking and problem -solving
Modes of Representing
Enactive (Action- Based): Learning through doing
Iconic (Image-based): Learning through images
Symbolic (Language-based): Learn through abstract symbols.
Educational Strategies
Scaffolding
Discovery Learning
Spiral Curriculum
Concept of Learning
Learning Cycle
Watch
Think
Feel
Do
Learning is the process of gaining Knowledge, skills or understanding of an idea.
Constructivism
Core Principles
Motivation is keys
Learning is contextual
Frame of references
Knowledge is constructed
Types of Constructivism
Cognitive
Social
Radical
Traditional Classroom
Curriculum
Materials: Real life vs textbook
Assessment: Student creativity vs correct answer
Constructivist Activities
Innovative pedagogical Approaches
Inquiry-Based Learning
Goal is asking question, investigation, gathering data
Teacher role is as Faciliator
5E Model
Engage
Explore
Explain
Elaborate
Evaluate
Student centered, real world problem, collabration
Project-Based Learning
Teacher as facilitator, student-centered approach
Implementation Steps
Selection of Topics
Objectives
Create plan
Research
Collect Data
Analyze Data
Draw conclusion
Write Report
Prepare presentation
Present the product
Problem-Based Learning
STEAM Pedagogy
Arts in STEAM
Bringing Creativity and Designing Thinking
Visual Learning
Story telling
Technology tools for Math
GeoGebra
Graphing
Excel/ Google sheets
Pedagogical Approach Used
Inquiry-based Learning
Project-Based Learning
Collaboration and problem solving approach