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Anobile, Giovanni; Arrighi, Roberto; Castaldi, Elisa; Grassi, Eleonora; Pedonese, Lara; Moscoso, Paula A. M.; Burr, David C. – Developmental Psychology, 2018
Humans and other animals are able to make rough estimations of quantities using what has been termed the "approximate number system" (ANS). Much evidence suggests that sensitivity to numerosity correlates with symbolic math capacity, leading to the suggestion that the ANS may serve as a start-up tool to develop symbolic math. Many…
Descriptors: Children, Mathematics Skills, Spatial Ability, Time
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Debrenti, Edith; László, Beáta – Acta Didactica Napocensia, 2020
Our research focuses on developing elementary students' mental computation skills with the help of card games. Choosing this area of study was motivated by our personal experiences, namely, that mathematics programmes of study do not lay emphasis on this aspect; there are too few hours dedicated to developing this skill, and several mental…
Descriptors: Elementary School Students, Cognitive Development, Games, Mathematics Instruction
Hurst, Chris; Huntley, Ray – Mathematics Education Research Group of Australasia, 2017
Multiplicative thinking is a critical stage of mathematical understanding upon which many mathematical ideas are built. The myriad aspects of multiplicative thinking and the connections between them need to be explicitly developed. One such connection is the relationship between place value partitioning and the distributive property of…
Descriptors: Multiplication, Mathematics Skills, Mathematical Logic, Mathematical Concepts
Gervasoni, Ann; Giumelli, Kerry; McHugh, Barbara – Mathematics Education Research Group of Australasia, 2017
This paper provides insight about the development of addition and subtraction strategies for nearly 22,000 Australian primary school children in 2016. The children were each assessed by their teacher using a task-based assessment interview that identified the strategies they used to mentally perform addition and subtraction, and matched these to a…
Descriptors: Foreign Countries, Addition, Subtraction, Elementary School Students
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Yilmaz, Ozgur; Bayraktar, Duygu Mutlu – International Journal of Game-Based Learning, 2018
This article investigates the effect of kinesthetic educational game on students' mental computation speed. A Solomon four-group design was used to avoid the influence of pretest-posttest design. In order to determine which grade is appropriate for this game, a pilot study was conducted with 30 students. As for the main study, 123 students…
Descriptors: Mental Computation, Computer Games, Kinesthetic Methods, Comparative Analysis
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Zaferos, Melanie – Teaching Children Mathematics, 2016
This investigation presents students with the challenge of determining the total number of eggs in a photograph of a stack of egg trays. The perspective of the photograph does not allow students to count all the individual eggs in the top tray but does allow them to see the number of eggs in one row and one column of the top tray. During this…
Descriptors: Mathematics Instruction, Teaching Methods, Photography, Multiplication
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Erdem, Emrullah – International Journal of Science and Mathematics Education, 2017
The current study examines the mental computation performance owned by students at fifth grade. This study was carried out with 118 fifth graders (11-12-year-olds) studying at 3 randomly selected primary schools that served low and middle socio-economic areas in a city of Turkey. "Mental Computation Test (MCT)" has been used to reach how…
Descriptors: Mental Computation, Grade 5, Elementary School Students, Foreign Countries
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Koyunkaya, Melike Yigit – International Journal of Education in Mathematics, Science and Technology, 2018
Students need to construct strong knowledge of angles as well as relationships between angles and side lengths in a triangle to succeed in geometry. Although many researchers pointed out the importance of angles and angle-related concepts, students and teachers have had limited knowledge of these concepts. This study is a part of a larger study,…
Descriptors: Mental Computation, Preservice Teacher Education, Preservice Teachers, Geometric Concepts
Russo, James; Hopkins, Sarah – Mathematics Education Research Group of Australasia, 2018
Measuring computational fluency, an aspect of procedural fluency, is complex. Many attempts to measure this construct have emphasised accuracy and efficiency at the expense of flexibility and appropriate strategy choice. Efforts to account for these latter constructs through assessing children's computational reasoning using structured interviews…
Descriptors: Mental Computation, Thinking Skills, Mathematics Skills, Addition
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Chowdhury, Mohammad Anisuzzaman – Malaysian Online Journal of Educational Sciences, 2017
The article provides syntheses and critical analyses of literature, creative insights, fruitful information, reflections on gifted education perspectives, and discusses the pertinent issues related to enabling sciences, with a particular focus on chemistry. The misconceptions among the gifted students, and a range of pedagogical approaches to…
Descriptors: Gifted, Chemistry, Literature Reviews, Misconceptions
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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
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Whitacre, 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
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Norton, Anderson – North American Chapter of the International Group for the Psychology of Mathematics Education, 2016
In this theoretical paper, I consider reversibility as a defining characteristic of mathematics. Inverse pairs of formalized operations, such as multiplication and division, provide obvious examples of this reversibility. However, there are exceptions, such as multiplying by 0. If we are to follow Piaget's lead in defining mathematics as the…
Descriptors: Mathematical Applications, Mathematical Formulas, Mathematics Instruction, Multiplication
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Frank, David J.; Macnamara, Brooke N. – Journal of Experimental Psychology: Learning, Memory, and Cognition, 2017
Performance on verbal and mathematical tasks is enhanced when participants shift from using algorithms to retrieving information directly from memory (Siegler, 1988a). However, it is unknown whether a shift to retrieval is involved in dynamic spatial skill acquisition. For example, do athletes mentally extrapolate the trajectory of the ball, or do…
Descriptors: Skill Development, Spatial Ability, Mathematics, Mental Computation
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Psycharis, Sarantos; Kallia, Maria – Instructional Science: An International Journal of the Learning Sciences, 2017
In this paper we investigate whether computer programming has an impact on high school student's reasoning skills, problem solving and self-efficacy in Mathematics. The quasi-experimental design was adopted to implement the study. The sample of the research comprised 66 high school students separated into two groups, the experimental and the…
Descriptors: Programming, Secondary School Students, Thinking Skills, Mathematics Instruction
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