Nature, Aims, and Goals of Teaching Mathematics
Building foundation of mathematical understanding and skills in young learners
Focus on numeracy, logical reasoning, and problem-solving
Age-appropriate and engaging methods beyond basic arithmetic
Active and Experiential Learning:
Explore math through play, games, puzzles
Conceptual Understanding:
Teach reasons behind procedures, not just memorization
Building Problem-Solving Skills:
Encourage critical thinking, recognizing patterns
Developmentally Appropriate Learning:
Match teaching methods to students' age and understanding
Integration with Other Subjects:
Connect math with science, art, and real-world uses
Aim for Filipino learners to become mathematically proficient and critical problem solvers
Focus on developing confidence and competence in various mathematical aspects
Five Content Areas:
Numbers and Number Sense
Measurement
Geometry
Patterns and Algebra
Probability and Statistics
Three Content Domains:
Number and Algebra
Measurement and Geometry
Data and Probability
Big Ideas Defined:
Key concepts connecting various mathematical understandings
Show mathematics as interlinked rather than disconnected
Numbers:
Relationship between real numbers and points on number line
Measures:
Quantification of attributes of objects
Shapes, Space, and Graphs:
Visualization of geometric figures and data
Patterns, Relations, and Functions:
Mathematical rules to show relationships between sets
Data:
Collection and processing of data for meaning
Chance:
Quantification of chances for events to occur
Representations and Communications:
Understanding mathematical properties through different representations
Relationships:
Exploring relations among mathematical concepts
Operations and Transformations:
Operations on mathematical objects
Properties and Applications:
Properties defining mathematical objects
Equivalence:
Different representations with same value
Reasoning and Proof:
Establishing the truth of mathematical statements
Key Stage 1:
Grades 1 to 3
Key Stage 2:
Grades 4 to 6
Key Stage 3:
Grades 7 to 10
Develop early numeracy skills
Understanding 1-to-4-digit numbers, shapes, and simple data
Extends learning in numbers, algebra, measures, geometry, and data/probability
Introduces more complex properties and problems
Emphasis on self-directed learning, covering advanced topics in mathematics
Compare current teaching methods to past experiences
Presentation template credits for visuals
Explain educational theories guiding mathematics teaching
Activity: Standards assessment
Consider difficulties in predicting standards
Importance of maintaining educational standards
Goal-driven structure for Mathematics curriculum Grades 1 to 10
Pedagogy:
Engaging instructional methods
Assessment:
Measure achievement, provide feedback
Resources:
Diverse resources are essential for effective learning
Grade 1 Standards:
Knowledge in number systems, shapes, data collection
Grade 4 Standards:
Higher numbers and concepts including fractions and geometry
Grade 7 Standards:
Complex algebra, geometry, and statistics