Article Summaries


Analytic Summaries

Charles, R., & Lester, F. (1984). An evaluation of a process-oriented instructional program in mathematical problem solving in grades 5 and 7. Journal for Research in Mathematics Education, 15, 15-34.


Demby, A. (1997). Algebraic procedures used by 13-to-15-year-olds. Educational Studies in Mathematics, 33, 45-70.


Kieran, C. (2001). The mathematical discourse of 13-year-old partnered problem solving and its relation to the mathematics that emerges. Educational Studies in Mathematics, 46, 187-228.


Star, J.R., Smith, J.P., & Jansen, A. (2008). What students notice as different between reform and traditional mathematics programs. Journal for Research in Mathematics Education, 39, 9-32.


Szetela, W. & Super, D. (1987). Calculators and instruction in problem solving in grade 7. Journal for Research in Mathematics Education, 18, 215-229.



Reflections & Commentary

Erlwanger (1973) and Skemp (1977), Benny and relational knowledge.


Shaughnessy and Burger (1985, 1986), van Hiele levels and deduction.


Senk (1989) and Gutierrez et al (1991), Chicago van Hiele project and the Spanish reinterpretation.


Gutierrez & Jaime (1998) and Clements (1991), Spanish van Hiele theory and syncretics.


Gutierrez & Jaime (1999), van Hiele acquisition theory.


Martin & Strutchens (2000), NAEP results for geometry and measurement.


Blume, Galindo & Walcott (2000), NAEP results for geometry and measurement in diagolue with the Standards.


Battista & Clements (1996), students' understanding of 3D arrays.


Clements (2003), review of teaching and learning geometry from the research companion to the Standards.


Herbst (2006) and Pandiscio & Orton (1998), geometry with problems and a comparison of van Hiele and Piaget.


Clements & Sarama (2008), evaluation of the Building Blocks preschool mathematics curriculum.


Koedinger (1998), conjecuring and argumentation.


Norton & D'Ambrosio (2008), instruction involving ZPD and ZPC.


Cobb et al. (2001) and Mercer (2008), qualitative methodological pieces.