Algebraic Thinking

Research Reports

Multiple vs. numeric approaches to developing functional understanding through patterns –affordances and limitations for grade 4 students
Ruth Beatty, Joan Moss
   
Sixth graders’ figural and numerical strategies for generalizing patterns in algebra
Joanne Rossi Becker, Ferdinand Rivera
   
Characterizing students’ thinking: algebraic, inequalities and equations
Kien H. Lim
 
Relationships between attention-focusing and the “transfer” of learning across two instructional approaches to rates of change
Joanne Lobato
 
Supporting algebraic thinking and generalizing about functional relationship through patterning in a second grade classroom
Susan London McNab
   
Generating mathematical discourse among teachers: the role of professional development resource
Karen Marrongelle, Sean Larsen
 
Learners' difficulties with defining and coordinating quantitative units in algebraic word problems and the teacher's interpretation of those difficulties
John Olive, Günhan Çaglayan

 

Short Orals

Speech and gesture in pattern generalization tasks involving graphs: evidence that perceptions influence conceptions
Kristen Bieda, Mitchell Nathan
   
Use of the CAS (computer algebra systems) as symbolic manipulator in the resolution of arithmetic-algebraic word problems
Miguel Benito Huesca Esparza
   
Inter-student questioning in students’ investigations into algebra: a dialogue between Kianja and Jerel
F. Frank Lai
 
The impact of a units-coordinating scheme on conceptual understanding of an improper fraction
Hyung Sook Lee
 
Mathematical fluency measured with the four parameters of foreign language learning: applications of the integral
Mariana Montiel
   
Infinity of numbers: a complex concept to be learnt?
Erkki Pehkonen, Markku S. Hannula
   
Accounting for sixth graders' generalization strategies in algebra
Ferdinand D. Rivera, Joanne Rossi Becker
 
Construction of meanings to the mathematical objects of variable and function through problems
Guillermo Rubio, Rafael del Valle, Alonso del Castill

 

Posters

A psycholinguistic approach to teaching/learning mathematics based on brain pattern processing operations
Victor Amezcua
   
Understanding integers: using balloons and weights software
Lisa Clement Lamb, Eva Thanheiser
   
A framework to analyze the algebra mathematics register
Susana Mabel Davidenko
 
Shaking hands, completing graphs: what can be gained by leveraging everday experiences in the development of arithmetic models that support algebraic reasoning?
Steven B. Greenstei
 
The role of gesture as a form of participation in networked classrooms
Stephen Hegedus & Sharon Rodriguez
   
Students' conceptions of the equals sign after algebra II
Bruce A. Ingraham
 
Can teachers promote learner responsibility through external accountability?
Whitney Johnson, Eden Badertscher, Carolina Nap
 
Proportional variation with dynamic geometry
Valois Nájera Morales, Marco A. Santillán Vázquez, Luis Moreno-Armella
 
A focus on variables as quantities of variable measure in covariational reasoning
Jason Silverman