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Kelsey J. MacKay; Filip Germeys; Wim Van Dooren; Lieven Verschaffel; Koen Luwel – Educational Studies in Mathematics, 2025
Rational numbers, such as fractions and decimals, are harder to understand than natural numbers. Moreover, individuals struggle with fractions more than with decimals. The present study sought to disentangle the extent to which two potential sources of difficulty affect secondary-school students' numerical magnitude understanding: number type…
Descriptors: Number Concepts, Numeracy, Secondary School Mathematics, Secondary School Students
Megan Rojo; Sarah G. King; Jenna Gersib; Christian T. Doabler – Learning Disability Quarterly, 2025
Competence with rational numbers is essential for mathematics proficiency in secondary mathematics. However, many students struggle with rational number concepts, and students with mathematics difficulties struggle even more. The purpose of this study was to examine the effects of an intervention that incorporated the use of explicit instruction…
Descriptors: Mathematics Instruction, Intervention, Direct Instruction, Models
Zehra E. Ünal; Züleyha Terzi; Beyzanur Yalvaç; David C. Geary – Developmental Science, 2024
Understanding the magnitudes represented by numerals is a core component of early mathematical development and is often assessed by accuracy in situating numerals and fractions on a number line. Performance on these measures is consistently related to performance in other mathematics domains, but the strength of these relations may be…
Descriptors: Number Concepts, Mathematics Achievement, Mathematics Education, Meta Analysis
Niamh O'Meara; Olivia Fitzmaurice – International Journal of Mathematical Education in Science and Technology, 2024
The power and value of mathematics cannot be underestimated. Mathematics is essential in the workplace, for economic growth, for technological advancements and as part of our cultural heritage. Despite this, research reports that second-level students do not appreciate the value of mathematics and fail to see its relevance. One potential reason…
Descriptors: Mathematics Teachers, Preservice Teachers, Teacher Education Programs, Mathematics Instruction
Roy, George J.; Harbour, Kristin E.; Martin, Christie; Cunningham, Matthew – Mathematics Teacher: Learning and Teaching PK-12, 2022
One way to emphasize students' strengths when reasoning verbally is through number talks. During a number talk, a teacher facilitates a 5- to 15-minute conversation during which students have the opportunity to engage in mental mathematics and verbally explain and justify their reasoning regarding how they make sense of numerical computations.…
Descriptors: Teaching Methods, Mathematics Instruction, Fractions, Cognitive Processes
Matthews, Percival G.; Lewis, Mark R. – Cognitive Science, 2017
Although many researchers theorize that primitive numerosity processing abilities may lay the foundation for whole number concepts, other classes of numbers, like fractions, are sometimes assumed to be inaccessible to primitive architectures. This research presents evidence that the automatic processing of nonsymbolic magnitudes affects processing…
Descriptors: Numbers, Numeracy, Color, Interference (Learning)
Murniasih, Tatik Retno; Sa'dijah, Cholis; Muksar, Makbul; Susiswo – Center for Educational Policy Studies Journal, 2020
Research on cognitive obstacles related to fraction sense in preservice mathematics teachers is significant, because their success depends on their skills. The acquisition of fraction sense is a complicated problem requiring a strategy to solve it. This study presents cognitive obstacles with fraction sense tests in preservice who will teach in…
Descriptors: Fractions, Numeracy, Mathematics Skills, Number Concepts
Ren, Kexin; Gunderson, Elizabeth A. – Developmental Psychology, 2019
Children and adults often have difficulties comparing decimal magnitudes. Although individuals attempt to reconcile decimals with prior whole-number and fraction knowledge, conceptual and procedural differences between decimals and prior knowledge of whole numbers and fractions can lead to incorrect strategies. The dynamic strategy choice account…
Descriptors: Number Concepts, Fractions, Bias, Arithmetic
Tian, Jing; Siegler, Robert S. – Educational Psychology Review, 2018
Many children and adults have difficulty gaining a comprehensive understanding of rational numbers. Although fractions are taught before decimals and percentages in many countries, including the USA, a number of researchers have argued that decimals are easier to learn than fractions and therefore teaching them first might mitigate children's…
Descriptors: Mathematics Instruction, Numbers, Numeracy, Fractions
Alibali, Martha W.; Norton, Anderson – Research in Mathematics Education, 2019
The overarching theme of this book can be simply stated: Building on a foundation of biologically based abilities, children construct number via sensorimotor and mental activity. In this chapter, we return to this theme, and we connect it to three additional themes that emerge across chapters: comparing competing models for conceptual change;…
Descriptors: Mathematics Instruction, Interdisciplinary Approach, Teaching Methods, Numbers
Tian, Jing; Siegler, Robert S. – Grantee Submission, 2017
Many children and adults have difficulty gaining a comprehensive understanding of rational numbers. Although fractions are taught before decimals and percentages in many countries, including the USA, a number of researchers have argued that decimals are easier to learn than fractions and therefore teaching them first might mitigate children's…
Descriptors: Mathematics Instruction, Numbers, Numeracy, Fractions
Siegler, Robert S.; Braithwaite, David W. – Grantee Submission, 2016
In this review, we attempt to integrate two crucial aspects of numerical development: learning the magnitudes of individual numbers and learning arithmetic. Numerical magnitude development involves gaining increasingly precise knowledge of increasing ranges and types of numbers: from non-symbolic to small symbolic numbers, from smaller to larger…
Descriptors: Numeracy, Numbers, Arithmetic, Fractions
Ervin, Heather K. – International Journal of Research in Education and Science, 2017
It is well documented in literature that rational number is an important area of understanding in mathematics. Therefore, it follows that teachers and students need to have an understanding of rational number and related concepts such as fraction multiplication and division. This practitioner reference paper examines models that are important to…
Descriptors: Mathematics Education, Fractions, Multiplication, Arithmetic
Jordan, Nancy C.; Carrique, Jessica; Hansen, Nicole; Resnick, Ilyse – Grantee Submission, 2016
This chapter situates fraction learning within the integrated theory of numerical development. We argue that the understanding of numerical magnitudes for whole numbers as well as for fractions is critical to fraction learning in particular and mathematics achievement more generally. Results from the Delaware Longitudinal Study, which examined…
Descriptors: Fractions, Numeracy, Numbers, Grade 3
Stoessiger, Rex – Australian Senior Mathematics Journal, 2013
A critical numeracy examination of Benford's Law suggests that our understanding of the integers is faulty. We think of them as equally likely to turn up as the first digit of a random real world number. For many real world data sets this is not true. In many cases, ranging from eBay auction prices to six digit numbers in Google to the…
Descriptors: Numbers, Numeracy, Mathematics, Mathematics Instruction
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