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Martínez-Hernández, Cesar; Kieran, Carolyn – North American Chapter of the International Group for the Psychology of Mathematics Education, 2019
This paper provides evidence on how elementary school students from a Mexican public school move from using an operational sense, expressed in computational strategies, to a kind of relational thinking based on structure sense ideas and expressed by number decomposition. Even though the results are somewhat preliminary, they illustrate how…
Descriptors: Foreign Countries, Elementary School Students, Elementary School Mathematics, Mathematics Skills
Chen, Lizhen; Bofferding, Laura – North American Chapter of the International Group for the Psychology of Mathematics Education, 2017
Being able to effectively interpret students' thinking and respond effectively in the moment are important skills that preservice teachers (PSTs) need to learn. This study zooms in on 14 PSTs' planning, teaching, and reflections involved in number string lessons, and investigates to what extent PSTs anticipate their students' strategies and…
Descriptors: Preservice Teacher Education, Preservice Teachers, Number Concepts, Numbers
Son, Ji-Won; Moseley, Jeneva; Cady, JoAnn – North American Chapter of the International Group for the Psychology of Mathematics Education, 2013
Although students' invented strategies typically prove to be effective in the improvement of students' mathematical understanding, little is known about how preservice teachers interpret and respond to student-invented strategies on whole number multiplication. This study investigated the nature of 25 preservice teachers' interpretations of and…
Descriptors: Preservice Teachers, Mathematics Teachers, Mathematics Instruction, Learning Strategies
Bofferding, Laura; Richardson, Sue Ellen – North American Chapter of the International Group for the Psychology of Mathematics Education, 2013
Fifteen elementary and secondary teacher candidates solved sixteen integer addition and subtraction problems during think-aloud interviews. Investigators further probed participants' solution strategies as well as what they noticed first when starting a new problem. Task analyses of participants' solutions led to the creation of two distinct maps…
Descriptors: Task Analysis, Addition, Subtraction, Numbers