“ sail back to the palm beaches ” fctm 2005 october 21, 2005 concept mapping in algebra i
DESCRIPTION
“ Sail Back to the Palm Beaches ” FCTM 2005 October 21, 2005 CONCEPT MAPPING IN ALGEBRA I. Presented by:. Matt Campese: Sandalwood HS Jacksonville, FL [email protected] - PowerPoint PPT PresentationTRANSCRIPT
“Sail Back to the Palm Beaches”
FCTM 2005 October 21, 2005
CONCEPT MAPPINGIN
ALGEBRA I
Presented by:
Matt Campese: Sandalwood HS Jacksonville, [email protected]
Della Caldwell: Allen D. Nease HS St. Augustine, FL
Theory of Knowledge:
All knowledge is constructed by human beings.
All knowledgeis built up from Concepts and Propositions
Concept:A perception or an idea about events or objects, or records of events or objects.
Concepts can be designated by namesor labels.Proposition:Two or more concepts combined to form a statement about the relationship of the concepts.
David Ausubel (1968):
If I had to reduce all of educational psychology to just one principle I would say this: The most important single factor influencing learningis what the learner already knows. Ascertain this and teach him accordingly.
Retention Deficit Disorder?
Connections?
Key idea:
Learners construct their own meanings for concepts and propositions from experiences over time, building their own knowledge structures.
The role of the educator is to help ensure that these structures are valid.
Theory of Learning
Concept Maps:
A tool to represent the structure of knowledge.
A tool to facilitateLearning.
A tool developed by Joseph Novak and his research group in 1972
to represent the knowledge of students prior to and after instruction.
A twelve-year longitudinal study of children’s learning:• Children received audio-tutorial instruction in basic science concepts in grades one and two.
• Children were interviewed periodically in grades one through twelve.
• Concept maps were drawn from interviews to represent the children’s understanding of various concepts and their connections.
LearningDenny, a six year old, is asked to draw a map that shows his understanding of 8 common concepts
Concepts:
WaterSolidRiverVaporSteamIceLiquidGasEvaporate
Denny’s knowledge does not include a meaning for vapor
Learning
We can easily teach Denny the meaning of “vapor” and a new concept, “evaporate”, by showing how they relate to his current knowledge.
Concepts:
WaterSolidRiverVaporSteamIceLiquidGasEvaporate
High school physics students who make concept maps outperform students in traditional classes
High school physics students who make concept maps outperform students in traditional classes
High school physics students who make concept maps outperform students in traditional classes
The IHMC, Institute for Human and Machine Cognition is an active group of business professors, consultants and mavericks such as Joseph Novak seeking to find ways to create “intelligent enterprises.”
In an effort to use concept maps in education the group at IHMC developed an extremely versatile software package called CMap Tools. Schools in Europe and South America are using the CMap Tools to bring concept mapping into the classroom as an effective learning strategy.
IHMC – A University Affiliated Research Institute http://ihmc.us
Today we are using computers, internet resources, and guided classroomand field experiences to educate in waysnever before possible.
We think that concept mapping is another toolMathematics teachers can use to enhance student learning.
Since 1460 we have had textbooks to help teachers and students learn.
What is a concept map? How can it be used in Algebra I ???????
BUT