Advanced Mathematical Thinking

Research Reports

Ways in which prospective secondary mathematics teachers deal with mathematical complexity
M. Kathleen Heid, Jana Lunt, Neil Portnoy, Ismail Ozgur Zembat
   
Compensation reasoning in optimization problems
Antonio Hurtado, Hugo Mejía
   
A framework to examine definition use in proof
Jessica Knapp
 
An analysis of students’ ideas about transformations of functions
Ana Elisa Lage, Maria Trigueros Gaisman
 
Geometrical optimization problems: a covariational approach
Hugo Mejía, Antonio Hurtado
   
Students’ proofs for the shapes of graphs of solutions in the phase plane
Chris Rasmussen, Bohdan Rhodehamel
 
Definite integrals, Riemann sums, and area under a curve: what is necessary and sufficient?
Vicki Sealey
   
Students’ proof schemes: a closer look at what characterizes students’ proof conceptions
Despina Stylianou, Nabin Chae, Maria Blanton



Short Orals

A unified representation of function in college algebra: graphs
Bernadette Marie Baker, Aaron Montgomery
   
Manifold nature of logarithms: numbers, operations and functions
Tanya Berezovski
   
Focusing on learners with math potential and their teachers through curriculum, discourse, and professional development
Tutita M. Casa
 
Calculus students’ perceptions of the relationship among the concepts of function transformation, function composition and function inverse
Patrick M. Kimani, Joanna O. Masingila
 
Student intentionality in high school mathematics
Ralph T. Mason, P. Janelle McFeetor
   
The -strip activity as an instructional tool in learning limits of sequences
Kyeong Hah Roh

 

Posters

Writing use and its effectiveness on college students’ mathematics performance
Nermin (Tosmur) Bayazit, Behiye Ubuz
   
Looking for tools to facilitate estimations: the logarithms case
Marcela Ferrari Escol
   
One problem, two contexts
Daniel Leigh Gigger, Charles N. Walter
 
The role of the facilitator in a community of mathematical inquiry
Nadia Stoyanova Kennedy
 
The learning of linear algebra from an apos perspective
Michael Meagher, Laurel Cooley, Bill Martin, Draga Vidakovuc, Sergio Loch