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Chapter 11

FRHD 2040 Chapter Notes - Chapter 11: Problem Solving, Data Analysis


Department
Family Relations and Human Development
Course Code
FRHD 2040
Professor
Triciavan Rhijn
Chapter
11

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Program Design for Children
Chapter 11
Defining Mathematics:
Children learn math and science from their manipulation of objects and their
discovery of relationships and patterns within their environment
Hard to separate science and maths in an early child learning environment
Mathematics for kids is a way of viewing the world and their experiences in it
solving real problems
Learning Mathematics:
Piaget describes 3 ways that human beings learn:
1. The Physical World: Concepts such as cold, hot, rough, smooth, etc.
2. The Social World: Socially transmitted info such as language, religion,
superstitions, etc.
3. The Construction of Mental Relationships: Concepts such as counting,
numeration, conservation, etc. (aka logico-mathematical learning)
Logico-mathematical thinking requires the learner to create categories and
hierarchies of objects without regard to their physical properties
Simple Abstraction (Empirical Abstraction): Children abstract certain info
from their experiences
Reflective Abstraction: Learner manipulates objects and then reflects on
the results leads to re-organizing mental constructs
Vygotsky’s View: Prompt teachers to think about what kids might be on the
verge of discovering and to provide the materials and assistance that would
help enhance making those discoveries
Teaching Mathematics:
Teachers should use the same terminology throughout when teaching math,
and it shouldn’t matter the age of the child because they need to learn the
terminology regardless
Teachers should arrange the environment so that the materials that best
represent a concept are available for manipulation and provide time for
manipulation
Standards for Mathematics Education:
Content Standards:
o Number and operations
o Geometry and spatial sense
o Measurement
o Patterns, functions and algebra
o Data analysis, stats and probability
Process Standards:
o Problem solving
o Reasoning and proof
find more resources at oneclass.com
find more resources at oneclass.com
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