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2006 Joint Annual Meetings February 17-18, 2006 Concept Mapping in Algebra I Beginning Algebra. FTYCMA Florida Two-Year College Mathematics Association. Presented by:. Matt Campese: Sandalwood HS Jacksonville, FL [email protected] - PowerPoint PPT Presentation
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2006 Joint Annual MeetingsFebruary 17-18, 2006
Concept Mappingin
Algebra IBeginning Algebra
FL-MAAFlorida
SectionThe
Mathematical
Association of
America
FTYCMAFlorida Two-Year College
Mathematics Association
Presented by:
Matt Campese: Sandalwood HS Jacksonville, FL
Della Caldwell: Allen D. Nease HS St. Augustine, FL [email protected]
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.
One of the most important factors in teachingis ascertaining what the learner already knows and teaching 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 facilitate learning by helping students to make the connections among concepts.A tool developed by Joseph Novak and
his research group in 1972 to record the understanding of science concepts learned by students over an extended period of time.
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 a research institute located in Pensacola and associated with the University of West Florida.
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, and that CMap tools can be used to facilitate the introduction of concept mapping into the mathematics classroom.
