The light dependent cycle uses the energy to remove electrons from light to produce oxygen gas and reducing power.
Jean Piaget is a Swiss psychologist known for his theory on children's cognitive development
Piaget's stages of cognitive development are: sensorimotor, preoperational, concrete operational, and formal operational
Piaget's stages suggest that children can learn the idea of numbers at an early age
General characteristics of learners:
Physical: extremely active and enjoys physical activities
Social: beginning to have a choice of friends but frequently quarrels with them
Emotional: becoming sensitive to criticism and others' feelings, eager to please the teacher
Cognitive: sees patterns, engages in problem-solving activities, learns a lot through self-talk
Mathematics taught in K-3 must have the following characteristics:
Experiential and hands-on
Rich in basic and foundational concepts and skills
Integrated
Five content areas in mathematics:
Number and number sense:
Focused on students' understanding of numbers, properties, operations, estimation, and their applications to real-world and mathematical situations
They develop number sense
Meaning of the 4 basic operations
Measurement:
Focused on finding actual measurements of objects and their attributes
They learn to join units to represent other attributes, area, and acceleration
Geometry:
Students develop spatial sense, logical reasoning, analytical thinking, and the ability to make sense of the real world
Patterns and Algebra:
Provides procedures and techniques to manipulate symbols and variables to move from specific to general
Strands extend from simple patterns to basic algebra
Probability and Statistics:
Focused on developing statistical and probability concepts and skills that will help students collect and organize data in a variety of ways
Content standards are broad descriptions of what students should learn
Performance standards outline what students should be able to do once the concepts and skills are taught
Learning competencies are logically arranged objectives that must be aimed in classroom instruction for students to achieve the required content and performance standards
Constructivist theory in teaching mathematics in the primary grades:
States that learning is an active process of creating from different experiences
Conceptualized by Jean Piaget
Learners build on the learner's prior knowledge and the approach is a constructive process
Learning takes place when building on what students already know
Student-centered approach allowing students to take ownership of their own learning
The teaching cycle:
Identify objectives: what knowledge and skills do students need to learn
Plan instruction: strategies to implement for students to achieve the objectives
Implement plan: conduct learning activities prepared during the planning stage
Check for understanding: teaching is about helping students learn
Reflect on teaching: reflect on whether objectives were achieved and if implemented strategies were effective
Assess learning and reflect on the results: concrete measure of what students have learned
Things to consider in planning instruction in mathematics in the intermediate grades:
Planning: carefully designing and organizing instructional activities to achieve specific learning goals
Five elements in lesson planning:
Content: subject matter or information being taught during a specific lesson
Objectives: clear and specific statements describing what students are expected to know or able to do as a result of learning
Students: consider where they came from, their interests, what they already know, etc.
Learning environment: promote a positive environment where students are motivated
Availability of resources: consider the instructional materials needed before writing the lesson plan
Instructional planning models:
ADIDAS:
Lessons begin with an activity that will later facilitate a meaningful discussion about the topic of the session
Discussion:
Students, facilitated by the teacher, talk about their experiences during the activity
Input:
Teacher lectures and students share the concepts they learned based on the activity and discussion
Deepening:
Ask questions that engage students in critical and creative thinking
Activity:
Students verify what they have learned by solving mathematical problems
Summary:
Students express what they learned verbally
5 E's model:
Engage:
Activates students' prior knowledge and engages them in new concepts through short activities
Explore:
Students are exposed to different experiences that facilitate the discovery of new concepts
Explain:
Students explain what they have experienced in the explore stage
Elaborate:
Allows students to expand their understanding of the concept by applying the concepts learned in solving math problems
Evaluate:
Let the teacher and students evaluate their learning