
06494757
a
2015f.00436
Cifarelli, Victor V.
Sevim, Volkan
Problem posing as reformulation and sensemaking within problem solving.
Singer, Florence Mihaela (ed.) et al., Mathematical problem posing. From research to effective practice. New York, NY: Springer (ISBN 9781461462576/hbk; 9781461462583/ebook). Research in Mathematics Education, 177194 (2014).
2014
New York, NY: Springer
EN
D50
problem posing
problem solving
sensemaking
ME 1994f.02448
doi:10.1007/9781461462583_8
Summary: This chapter examines a type of problem posing that has received little attention in the mathematics education literature. {\it E. A. Silver} [Learn. Math. 14, No. 1, 1928 (1994; ME 1994f.02448)] defined withinsolution problem posing as ``problem formulation or reformulation [that] occurs within the process of problem solving'' (p. 19). Our analysis documents and explains the role that withinsolution problem posing plays during problem solving, focusing on episodes of students from two grade levels: (a) Two fourthgrade students solving a multiplication task, and (b) A mathematics education graduate student solving a number array task. Our research examines: (a) How problem posing evolves from the students' ongoing interpretations of problematic situations, and (b) How these posed problems contribute to the students' problem solving. The results provide an explanation of how problem posing and problem solving coevolve in the course of solution activity and thus indicate the beneficial role that problem posing can play in the solution of mathematics problems.