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Download full textAqazade, Mahtob; Bofferding, Laura; Farmer, Sherri – North American Chapter of the International Group for the Psychology of Mathematics Education, 2017
We investigate thirty-three second and fifth-grade students' solution strategies on integer addition problems before and after analyzing contrasting cases with integer addition and participating in a lesson on integers. The students took a pretest, participated in two small group sessions and a short lesson, and took a posttest. Even though the…
Descriptors: Numbers, Grade 2, Grade 5, Addition
Bofferding, Laura; Aqazade, Mahtob; Farmer, Sherri – North American Chapter of the International Group for the Psychology of Mathematics Education, 2017
In this study, we explore thirty-two second graders' performance on integer addition problems before and after analyzing contrasting cases involving integers. The students, as part of a larger study, completed a pretest, were randomly assigned to one of three intervention groups, and participated in two small-group sessions, one short whole-class…
Descriptors: Grade 2, Elementary School Students, Addition, Numbers
Direct linkWhitacre, Ian – Journal of Mathematics Teacher Education, 2015
This study investigated the sets of mental computation strategies used by prospective elementary teachers to compute sums and differences of whole numbers. In the context of an intervention designed to improve the number sense of prospective elementary teachers, participants were interviewed pre/post, and their mental computation strategies were…
Descriptors: Preservice Teachers, Mental Computation, Elementary Education, Numbers
Aqazade, Mahtob; Bofferding, Laura; Farmer, Sherri – North American Chapter of the International Group for the Psychology of Mathematics Education, 2016
In this study, we explore four, second graders' performances on integer addition problems before and after analyzing contrasting cases involving integers. The students, as part of a larger study, participated in a pretest, small group sessions, one short whole-class lesson on integer addition, and a posttest. Based on their integer mental models…
Descriptors: Grade 2, Elementary School Mathematics, Elementary School Students, Pretests Posttests
Bofferding, Laura; Farmer, Sherri – North American Chapter of the International Group for the Psychology of Mathematics Education, 2016
The language that students use with whole numbers can be insufficient when learning integers. This is often the case when children interpret addition as "getting more" or "going higher." In this study, we explore whether instruction on mapping directed magnitudes to operations helps 88 second graders and 70 fourth graders solve…
Descriptors: Mathematics Instruction, Numbers, Language Usage, Teaching Methods
Vendlinski, Terry P.; Chung, Greg K. W. K.; Binning, Kevin R.; Buschang, Rebecca E. – National Center for Research on Evaluation, Standards, and Student Testing (CRESST), 2011
Understanding the meaning of rational numbers and how to perform mathematical operations with those numbers seems to be a perennial problem in the United States for both adults and children. Based on previous work, we hypothesized that giving students more time to practice using rational numbers in an environment that enticed them to apply their…
Descriptors: Feedback (Response), Intervention, Educational Research, Video Games
