12.1.1 Attainments of the Concrete Operational Stage
Conservation: Children (7-11 years) demonstrate observable behavior indicating they are conducting mental actions that obey logical rules.
Decentration: Focusing on multiple aspects of a problem and understanding their interconnections.
Reversibility: Thinking through a series of steps to solve a problem and then mentally backtracking to the starting point.
Classification: Comparing two categories, including a comparison of a general category.
Seriation: The ability to order items along a quantitative dimension (e.g., length or weight).
Transitive Inference: If A>B and B>C, then A>C.
Spatial Reasoning: Cognitive maps development.
Preschoolers rely on landmarks but represent inaccurate details.
Elementary-age children show greater accuracy with experience.
Grade three children can represent larger outdoor spaces, including landmarks.
Grade four (and up) can manipulate maps and are less dependent on landmarks.
Middle-school students can compare and evaluate maps and routes.
Fifth & sixth-grade students (ages 10-12) begin to understand map scale (e.g., 1 inch = 1 mile).
Individual differences are associated with culture and experiences.
Concern: children are becoming geographically limited, and travel is controlled by adults.
12.1.2 Limitations of Concrete Operational Thought
Children think logically only when dealing with concrete information they directly perceive.
Mental operations struggle with abstract ideas not apparent in their direct experience.
Children master concrete operations step-by-step.
The continuum of acquisition (gradual mastery) of logical concepts is an individual limitation of concrete operations.
12.1.3 Research on Concrete Operational Thought
Impact of culture, community, school, and context.
School experiences tend to promote the development of concrete operations.
Life experiences with materials are key to attainment.
Vygotsky’s ideas about guided practice and training in "real world" tasks are relevant.
Neo-Piagetians (Robbie Case) suggest that once schemes are established for concrete operations, working memory is free to apply skills in broader situations.
12.1.4 Evaluation of the Concrete Operational Stage
Elementary-age children approach problems more organized than preschool-age children.
Are children’s minds discontinuously restructuring or continuously expanding capacity?
There seems to be a qualitative change in how children think during elementary school years.
Fifth-grade students' thinking is more "fluid and flexible" than second-grade students who focus on the immediate task.
12.2 Information Processing
Components:
Sensory Register: Represents sights and sounds directly and stores them briefly.
Working (Short-Term) Memory: Holds a limited amount of information which is worked on to facilitate memory and problem-solving.
Long-Term Memory: Stores information permanently.
Central Executive: Coordinates incoming information with information in the system, controls attention, and selects, applies, and monitors the effectiveness of strategies.
Response Generator
12.2.1 Executive Function
Significant influences from genetic inheritance, environment, culture, community, and context.
Key aspects:
Inhibition and flexible shifting of attention.
Working memory.
Planning.
12.2.2 Memory Strategies
Rehearsal: Repeating information to oneself.
Organization: Grouping related items to aid recall.
Elaboration: Creating a relationship between pieces of information that are not in the same category.
12.2.3 Knowledge and Memory
Semantic memory becomes larger and organized into elaborate, hierarchically structured networks.
Cyclical relationship: knowledge enables children to use memory strategies; knowing more about a topic makes new information more meaningful and easier to store and retrieve.
12.2.4 Culture, Schooling, and Memory Strategies
Memories are a byproduct of participation in meaningful, relevant activities.
Isolated recall dominates schooling in developed/industrialized countries.
Societal modernization includes the presence of materials and activities in economically advantaged homes (e.g., books, tablets, computers).
12.2.5 The School-Age Child’s Theory of Mind
Knowledge of Cognitive Capacities:
Active minds.
Effective memory and strategies that work.
Sources of knowledge expand with age.
Observing events, engaging others, and making mental inferences.
School-age children are more conscious of mental strategies (metacognition) than preschool-age children.
They understand that organizing is more effective than rehearsing.
They understand and appreciate effective reasoning.
12.2.6 Cognitive Self-Regulation
Cognitive self-regulation is the process of monitoring progress toward a goal, checking outcomes, and redirecting unsuccessful efforts.
Components:
Attending to details.
Organizing materials.
Comprehending information.
Connecting various sources of information.
12.2.7 Applications of Information Processing to Academic Learning
Understanding information processing allows teachers to organize classroom behaviors into a theoretical framework to differentiate learning experiences.
12.2.7 Reading
Whole Language Reading Approach: Emphasizes functional, real purposes for writing and reading; believes children learn language when it is whole, sensible, interesting, and relevant; incorporates reading, writing, listening, and speaking in a blended curriculum format.
Phonics Reading Approach: Studies the relationship between sounds and letters; knowledge leads to word knowledge; along with experience, students read fluently.
The Science of Reading (SoR): Identifies five essential components of reading, incorporated in Structured Literacy:
Phonemic Awareness
Phonics
Fluency
Vocabulary
Comprehension
12.2.7 Mathematics
Number Concepts and Counting
Math Facts or Basic Computation
Practice, Experimentation, Reasoning
Teaching Effective Strategies
Mental Number Line: Understanding value, ordinal counting, cardinal counting
Mathematical Memory is a single skill
Knowledge of Relationships between Operations (addition, subtraction, multiplication, division)