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Cheng, Chen; Kibbe, Melissa M. – Cognitive Science, 2023
Young children with limited knowledge of formal mathematics can intuitively perform basic arithmetic-like operations over nonsymbolic, approximate representations of quantity. However, the algorithmic rules that guide such nonsymbolic operations are not entirely clear. We asked whether nonsymbolic arithmetic operations have a function-like…
Descriptors: Young Children, Mathematics Skills, Arithmetic, Problem Solving
Wong, Harris; Odic, Darko – Journal of Experimental Psychology: Learning, Memory, and Cognition, 2021
Research over the past 20 years has suggested that our intuitive sense of number--the Approximate Number System (ANS)--is associated with individual differences in symbolic math performance. The mechanism supporting this relationship, however, remains unknown. Here, we test whether the ANS contributes to how well adult observers judge the…
Descriptors: Number Systems, Symbols (Mathematics), Equations (Mathematics), Problem Solving
Aksoy, Nuri Can; Yazlik, Derya Ozlem – Journal of Education and Training Studies, 2017
In this study, it was aimed to determine the errors and misunderstandings of 5th and 6th grade middle school students in fractions and operations with fractions. For this purpose, the case study model, which is a qualitative research design, was used in the research. In the study, maximum diversity sampling, which is a purposeful sampling method,…
Descriptors: Fractions, Error Patterns, Grade 6, Grade 5
Hurst, Chris; Hurrell, Derek – Mathematics Education Research Group of Australasia, 2016
Multiplicative thinking is a critical stage in mathematical learning and underpins much of the mathematics learned beyond middle primary years. Its components are complex and an inability to understand them conceptually is likely to undermine students' capacity to develop beyond additive thinking. Of particular importance are the ten times…
Descriptors: Multiplication, Number Systems, Teaching Methods, Number Concepts
Carney, Michele B.; Smith, Everett; Hughes, Gwyneth R.; Brendefur, Jonathan L.; Crawford, Angela – Mathematics Education Research Journal, 2016
Proportional reasoning is important to students' future success in mathematics and science endeavors. More specifically, students' fluent and flexible use of scalar and functional relationships to solve problems is critical to their ability to reason proportionally. The purpose of this study is to investigate the influence of systematically…
Descriptors: Cognitive Style, Learning Strategies, Problem Solving, Mathematical Aptitude
Steinke, Dorothea A. – Journal of Adult Education, 2015
Earlier institution-sponsored research revealed that about 20% of students in community college basic math and pre-algebra programs lacked a sense of part-whole relationships with whole numbers. Using the same tool with a group of 86 workforce students, about 75% placed five whole numbers on an empty number line in a way that indicated lack of…
Descriptors: Community Colleges, Number Concepts, Number Systems, Numbers
Palatnik, Alik; Koichu, Boris – For the Learning of Mathematics, 2015
The paper presents and analyses a sequence of events that preceded an insight solution to a challenging problem in the context of numerical sequences. A threeweek long solution process by a pair of ninth-grade students is analysed by means of the theory of shifts of attention. The goal for this article is to reveal the potential of this theory…
Descriptors: Attention, Grade 9, Attention Control, Educational Theories
Morris, Bradley J.; Masnick, Amy M. – Cognitive Science, 2015
Comparing datasets, that is, sets of numbers in context, is a critical skill in higher order cognition. Although much is known about how people compare single numbers, little is known about how number sets are represented and compared. We investigated how subjects compared datasets that varied in their statistical properties, including ratio of…
Descriptors: Comparative Analysis, Number Concepts, Thinking Skills, Critical Thinking
Lin, Yung-Chi; Yang, Der-Ching; Li, Mao-Neng – EURASIA Journal of Mathematics, Science & Technology Education, 2016
A web-based two-tier test (WTTT-NS) which combined the advantages of traditional written tests and interviews in assessing number sense was developed and applied to assess students' answers and reasons for the questions. In addition, students' major misconceptions can be detected. A total of 1,248 sixth graders in Taiwan were selected to…
Descriptors: Misconceptions, Number Concepts, Numbers, Number Systems
Tira, Michael D.; Tagliabue, Mariaelena; Vidotto, Giulio – Psicologica: International Journal of Methodology and Experimental Psychology, 2014
In two experiments, participants judged the average numerosity between two sequentially presented dot patterns to perform an approximate arithmetic task. In Experiment 1, the response was given on a 0-20 numerical scale (categorical scaling), and in Experiment 2, the response was given by the production of a dot pattern of the desired numerosity…
Descriptors: Number Concepts, Number Systems, Numbers, Science Experiments
Rodríguez-Santos, José Miguel; Calleja, Marina; García-Orza, Javier; Iza, Mauricio; Damas, Jesús – American Annals of the Deaf, 2014
Deaf Children usually achieve lower scores on numerical tasks than normally hearing peers. Explanations for mathematical disabilities in hearing children are based on quantity representation deficits (Geary, 1994) or on deficits in accessing these representations (Rousselle & Noël, 2008). The present study aimed to verify, by means of symbolic…
Descriptors: Evidence, Deafness, Partial Hearing, Number Concepts
Rips, Lance J. – Journal of Experimental Psychology: Learning, Memory, and Cognition, 2013
When young children attempt to locate the positions of numerals on a number line, the positions are often logarithmically rather than linearly distributed. This finding has been taken as evidence that the children represent numbers on a mental number line that is logarithmically calibrated. This article reports a statistical simulation showing…
Descriptors: Number Concepts, Number Systems, Numbers, Mathematics Education
Herrera, Aurelia Noda; Bruno, Alicia; Gonzalez, Carina; Moreno, Lorenzo; Sanabria, Hilda – International Journal of Mathematical Education in Science and Technology, 2011
We present a research report on addition and subtraction conducted with Down syndrome students between the ages of 12 and 31. We interviewed a group of students with Down syndrome who executed algorithms and solved problems using specific materials and paper and pencil. The results show that students with Down syndrome progress through the same…
Descriptors: Number Systems, Down Syndrome, Subtraction, Mathematics Skills
Taylor, Edd V. – Mind, Culture, and Activity, 2013
The purpose of this study was to examine children's mathematical understandings related to participation in tithing (giving 10% of earnings to the church). Observations of church services and events, as well as interviews with parents, children, and church leaders, were analyzed in an effort to capture the ways in which mathematical problem…
Descriptors: Social Environment, Problem Solving, Financial Support, Administrator Attitudes
Skoumpourdi, Chrysanthi – European Early Childhood Education Research Journal, 2010
The aim of this paper is to investigate the role that auxiliary means (manipulatives such as cubes and representations such as number line) play for kindergartners in working out mathematical tasks. Our assumption was that manipulatives such as cubes would be used by kindergartners easily and successfully whereas the number line would be used by…
Descriptors: Mathematics Instruction, Problem Solving, Arithmetic, Learning Strategies
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