Middle-grade preservice teachers' mathematical problem solving and problem posing

R Rosli, MM Capraro, D Goldsby… - … problem posing: From …, 2015 - Springer
Mathematical problem posing: From research to effective practice, 2015Springer
Empirical data were gathered from 51 middle-grade preservice teachers who were randomly
assigned into one of two groups. The first group solved a task and then posed new problems
based on the given figures, and the second group completed these activities in reverse
order. Rubrics were developed to assess the written responses, and then thoughts and
concerns related to problem-posing experiences were collected to understand their
practices. Results revealed that the preservice teachers were proficient in solving simpler …
Abstract
Empirical data were gathered from 51 middle-grade preservice teachers who were randomly assigned into one of two groups. The first group solved a task and then posed new problems based on the given figures, and the second group completed these activities in reverse order. Rubrics were developed to assess the written responses, and then thoughts and concerns related to problem-posing experiences were collected to understand their practices. Results revealed that the preservice teachers were proficient in solving simpler arithmetic tasks but had difficulty generalizing and interpreting numerals in an algebraic form. They were able to pose some basic and reasonable problems and to consider important aspects of mathematical problem solving when generating new tasks. Thus, teacher educators should provide substantial educational experiences by incorporating both problem-solving and problem-posing activities into engaging instruction for preservice teachers.
Springer
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