1. 2006 Joint Annual Meetings February 17-18, 2006 Concept Mapping in Algebra I Beginning Algebra
FL-MAA
Florida Section The Mathematical Association of America
FTYCMA
Florida Two-Year College
Mathematics Association

2. Matt Campese: Sandalwood HS Jacksonville, FL
Presented by:
Matt Campese: Sandalwood HS Jacksonville, FL
Della Caldwell: Allen D. Nease HS St. Augustine, FL

3. Theory of Knowledge: All knowledge is constructed by human beings.
is built up
from Concepts and Propositions

4. Concept: Proposition:
A perception or an idea about events or objects, or records of events or objects.
Concepts can be designated by names
or labels.
Proposition:
Two or more concepts combined to form a statement about the relationship of the concepts.

5. Retention Deficit Disorder?
One of the most important factors in teaching
is ascertaining what the learner already knows
and teaching him accordingly.
Retention Deficit Disorder?
Connections?

6. Theory of Learning 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.

7. 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.

8. 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.
Mention that this was a unique understanding of education and was contrary to the Piagetian theory that was popular at that time. Showed he was a maverick in learning theory Former professor of Cornell university

9. Learning
Denny, a six year old, is asked to draw a map that shows his understanding of 8 common concepts
Concepts:
Water
Solid
River
Vapor
Steam
Ice
Liquid
Gas
Evaporate
Denny’s knowledge does not include a meaning for vapor

10. Learning
Concepts:
Water
Solid
River
Vapor
Steam
Ice
Liquid
Gas
Evaporate
We can easily teach Denny the meaning of “vapor” and a new concept, “evaporate”, by showing how they relate to his current knowledge.

11. How matter is put together

12. Still talking about matter, but more in molecular structure and knows the more formal terms, and is making connections to knowledge he knew in Grade 2. He shows a better understanding of the early concepts that he knew in grade 2 expanded on concepts. Novak study found that making connections early made…

13. 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
Connection to our project connections made early improved scores…alg 1 gatekeeper
There is some evidence that learning concept mapping increases students ability to solve problems longitudinal study

15. 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.
Free for educators used in business for training

16. IHMC – A University Affiliated Research Institute http://ihmc.us
Cmap tools home page hot buttons
    
IHMC – A University Affiliated Research Institute

17. FREE!!!!!!!

18. xxxx

19. Today we are using computers,
internet resources, and guided classroom
and field experiences to educate in ways
never before possible.
We think that concept mapping is another tool
mathematics 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.