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Liu, Qiushan; Braithwaite, David – Journal of Experimental Psychology: Learning, Memory, and Cognition, 2023
Rational numbers are represented by multiple notations: fractions, decimals, and percentages. Whereas previous studies have investigated affordances of these notations for representing different types of information (DeWolf et al., 2015; Tian et al., 2020), the present study investigated their affordances for solving different types of arithmetic…
Descriptors: Fractions, Arithmetic, Mathematical Concepts, Affordances
Glaser, Maria; Knops, André – Journal of Numerical Cognition, 2023
The notion that mental arithmetic is associated with shifts of spatial attention along a spatially organised mental number representation has received empirical support from three lines of research. First, participants tend to overestimate results of addition and underestimate those of subtraction problems in both exact and approximate formats.…
Descriptors: Spatial Ability, Mental Computation, Arithmetic, Attention
Erik Jacobson – Investigations in Mathematics Learning, 2024
This study used units coordination as a theoretical lens to investigate how whole number and fraction reasoning may be related for preservice teachers at the conclusion of a math methods class. The study contributes quantitative evidence that units coordination provides a common foundation for both mathematical knowledge for teaching whole number…
Descriptors: Preservice Teachers, Elementary School Teachers, Mathematics Instruction, Methods Courses
Lo, Steson; Andrews, Sally – Journal of Numerical Cognition, 2022
In Asia, some children are taught a calculation technique known as the 'mental abacus'. Previous research indicated that mental abacus experts can perform extraordinary feats of mental arithmetic, but it disagrees as to whether the technique improves working memory. The present study extended and clarified these findings by contrasting performance…
Descriptors: Mental Computation, Expertise, Short Term Memory, Schemata (Cognition)
Erdem, Emrullah – Educational Research Quarterly, 2022
The present study aimed to examine the opinions of in-and preservice middle school mathematics teachers about teaching four operations with integers through "number line" and/or "counters". Participants were 42 middle school mathematics teachers and 51 pre-service mathematics teachers. The data were collected through open-ended…
Descriptors: Middle School Teachers, Mathematics Teachers, Preservice Teachers, Teacher Attitudes
Wessman-Enzinger, Nicole M.; Tobias, Jennifer; Olanoff, Dana – Investigations in Mathematics Learning, 2020
Writing and evaluating contextual problems is an important task in the work of teaching, and thus is part of the knowledge that prospective teachers must develop. In dealing with word problems posed both by children and themselves, prospective teachers will need to attend to the realism of the context and the consistency between the operation and…
Descriptors: Preservice Teachers, Mathematics Instruction, Addition, Word Problems (Mathematics)
Gleason, Brian – Mathematics Teacher, 2018
In this article, a mathematics teacher educator presents an activity designed to pique the interest of prospective secondary mathematics teachers who may doubt the value of learning abstract algebra for their chosen profession. Herein, he contemplates: what "is" intended by the widespread requirement that high school mathematics teachers…
Descriptors: Mathematics Instruction, Mathematics Teachers, Teacher Educators, Secondary Education
Whitacre, Ian – Cognition and Instruction, 2018
I present a viable learning trajectory for prospective elementary teachers' number sense development with a focus on whole-number place value, addition, and subtraction. I document a chronology of classroom mathematical practices in a Number and Operations course. The findings provide insights into prospective elementary teachers' number sense…
Descriptors: Preservice Teachers, Elementary School Teachers, Mathematics Activities, Mathematics
Whitacre, Ian; Rumsey, Chepina – Cognition and Instruction, 2018
This article contributes to the research literature concerning prospective elementary teachers' mathematical thinking and learning with a focus on flexibility. We present a case study of a prospective elementary teachers' development of flexibility in mental addition and subtraction during a Number and Operations course. Building upon the…
Descriptors: Mathematics Instruction, Social Influences, Preservice Teachers, Elementary Education
Roy, George J. – Issues in the Undergraduate Mathematics Preparation of School Teachers, 2014
This study was situated in a semester-long classroom teaching experiment examining prospective teachers' understanding of number concepts and operations. The purpose of this paper is to describe the learning goals, tasks, and tools used to cultivate prospective teachers' understanding of addition and subtraction with whole numbers. Research…
Descriptors: Preservice Teachers, Numeracy, Number Concepts, Addition
Almeida, Rut; Bruno, Alicia – International Journal of Mathematical Education in Science and Technology, 2014
This paper analyses the strategies used by pre-service primary school teachers for solving simple addition problems involving negative numbers. The findings reveal six different strategies that depend on the difficulty of the problem and, in particular, on the unknown quantity. We note that students use negative numbers in those problems they find…
Descriptors: Preservice Teachers, Elementary School Teachers, Problem Solving, Elementary School Mathematics
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
Dixon, Juli K.; Tobias, Jennifer M. – Mathematics Teaching in the Middle School, 2013
What does it look like to "understand" operations with fractions? The Common Core State Standards for Mathematics (CCSSM) uses the term "understand" when describing expectations for students' knowledge related to each of the fraction operations within grades 4 through 6 (CCSSI 2010). Furthermore, CCSSM elaborates that…
Descriptors: Computation, Arithmetic, Preservice Teacher Education, Preservice Teachers