Three Strategies for Opening Curriculum Spaces

2015 ◽  
Vol 21 (6) ◽  
pp. 346-353 ◽  
Author(s):  
Corey Drake ◽  
Tonia J. Land ◽  
Tonya Gau Bartell ◽  
Julia M. Aguirre ◽  
Mary Q. Foote ◽  
...  
Keyword(s):  
Mathematical Knowledge ◽  
Knowledge Bases

Make these small adjustments to your syllabus and watch spaces open to connect to children's multiple mathematical knowledge bases.

Decision Making Modeled as a Theorem Proving Process

2012 ◽  
Vol 4 (3) ◽  
pp. 1-11
Author(s):  
Jacques Calmet ◽  
Marvin Oliver Schneider
Keyword(s):  
Artificial Intelligence ◽  
Decision Making ◽  
Information Technology ◽  
Multiagent Systems ◽  
Theorem Proving ◽  
Mathematical Knowledge ◽  
Knowledge Bases ◽  
Advanced Mathematics ◽  
Knowledge Communities ◽  
Computational Systems

The authors introduce a theoretical framework enabling to process decisions making along some of the lines and methodologies used to mechanize mathematics and more specifically to mechanize the proofs of theorems. An underlying goal of Decision Support Systems is to trust the decision that is designed. This is also the main goal of their framework. Indeed, the proof of a theorem is always trustworthy. By analogy, this implies that a decision validated through theorem proving methodologies brings trust. To reach such a goal the authors have to rely on a series of abstractions enabling to process all of the knowledge involved in decision making. They deal with an Agent Oriented Abstraction for Multiagent Systems, Object Mechanized Computational Systems, Abstraction Based Information Technology, Virtual Knowledge Communities, topological specification of knowledge bases using Logical Fibering. This approach considers some underlying hypothesis such that knowledge is at the heart of any decision making and that trust transcends the concept of belief. This introduces methodologies from Artificial Intelligence. Another overall goal is to build tools using advanced mathematics for users without specific mathematical knowledge.

Using video analysis to support prospective K-8 teachers’ noticing of students’ multiple mathematical knowledge bases

2013 ◽  
Vol 17 (3) ◽  
pp. 245-270 ◽  
Author(s):  
Amy Roth McDuffie ◽  
Mary Q. Foote ◽  
Catherine Bolson ◽  
Erin E. Turner ◽  
Julia M. Aguirre ◽  
...  
Keyword(s):  
Video Analysis ◽  
Mathematical Knowledge ◽  
Knowledge Bases

Curriculum spaces for connecting to children’s multiple mathematical knowledge bases

2018 ◽  
Vol 51 (4) ◽  
pp. 471-493 ◽  
Author(s):  
Tonia J. Land ◽  
Tonya G. Bartell ◽  
Corey Drake ◽  
Mary Q. Foote ◽  
Amy Roth McDuffie ◽  
...  
Keyword(s):  
Mathematical Knowledge ◽  
Knowledge Bases
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