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grade level, many adults will know what to do for the math problem, but they will often get them wrong because of "careless errors", although they are not careless when it comes to the problem. The adults cannot process their errors on the math problems or may not even recognize that they have made these errors. Visual-spatial input, auditory input, and touch input will be affected due to these processing errors. Dyscalculics may have a difficult time adding numbers in a column format because their mind can mix up the numbers, and it is possible that they may get the same (wrong) answer twice due to their mind processing the problem incorrectly. Dyscalculics can have problems determining differences in different coins and their size or giving the correct amount of change and if numbers are grouped together, it is possible that they cannot determine which has less or more. If a dyscalculic is asked to choose the greater of two numbers, with the lesser number in a larger font than the greater number, they may take the question literally and pick the number with the bigger font. Adults with dyscalculia may struggle with directions while driving and with controlling their finances, leading to difficulties on a day-to-day basis.
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best diagnostic criterion: a stringent 10th-percentile cut-off on the TEMA-2. Even with their best criterion, they found dyscalculia diagnoses for children longitudinally did not persist; only 65% of students who were ever diagnosed over the course of four years were diagnosed for at least two years. The percentage of children who were diagnosed in two consecutive years was further reduced. It is unclear whether this was the result of misdiagnosed children improving in mathematics and spatial awareness as they progressed as normal, or that the subjects who showed improvement were accurately diagnosed, but exhibited signs of a non-persistent learning disability.
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592:"mentally handicapped". Researchers now sometimes use the terms "math dyslexia" or "math learning disability" when they mention the condition. Cognitive disabilities specific to mathematics were originally identified in case studies with patients who experienced specific arithmetic disabilities as a result of damage to specific regions of the brain. More commonly, dyscalculia occurs developmentally as a genetically linked learning disability which affects a person's ability to understand, remember, or manipulate numbers or number facts (e.g., the
566:(TDCS) to the parietal lobe during numerical learning and demonstrated selective improvement of numerical abilities that was still present six months later in typically developing individuals. Improvement were achieved by applying anodal current to the right parietal lobe and cathodal current to the left parietal lobe and contrasting it with the reverse setup. When the same research group used tDCS in a training study with two dyscalculic individuals, the reverse setup (left anodal, right cathodal) demonstrated improvement of numerical abilities.
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numerical quantities. While the previous two games provide the correct answer, the individual using the intervention cannot actively determine, through manipulation, what the correct answer should be. Butterworth and colleagues argued that games like The Number Bonds, which allows an individual to compare different sized rods, should be the direction that digital interventions move toward. Such games use manipulation activities to provide intrinsic motivation toward content guided by dyscalculia research. One of these
478:: Research by Geary has shown that in addition to increased problems with fact retrieval, children with math disabilities may rely on immature computational strategies. Specifically, children with mathematical disabilities showed poor command of counting strategies unrelated to their ability to retrieve numeric facts. This research notes that it is difficult to discern whether poor conceptual knowledge is indicative of a qualitative deficit in number processing or simply a delay in typical mathematical development.
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468:, which has been shown to be selective in arithmetic fact retrieval strategies and symbolic magnitude judgments. This region also shows low functional connectivity with language-related areas during phonological processing in adults with dyslexia. Thus, disruption to the left angular gyrus can cause both reading impairments and difficulties in calculation. This has been observed in individuals with
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269:. However, children with dyscalculia can subitize fewer objects and even when correct take longer to identify the number than their age-matched peers. Dyscalculia often looks different at different ages. It tends to become more apparent as children get older; however, symptoms can appear as early as preschool. Common symptoms of dyscalculia are having difficulty with
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dyscalculia. These methods require specially trained teachers working directly with small groups or individual students. As such, instruction time in the classroom is necessarily limited. For this reason, several research groups have developed computer adaptive training programs designed to target deficits unique to dyscalculic individuals.
612:"), which these researchers consider to be a foundational skill upon which other mathematics abilities build. Symptoms of dyscalculia include the delay of simple counting, inability to memorize simple arithmetic facts such as adding, subtracting, etc. There are few known symptoms because little research has been done on the topic.
449:, some researchers have suggested the possibility of subtypes of mathematical disabilities with different underlying profiles and causes. Whether a particular subtype is specifically termed "dyscalculia" as opposed to a more general mathematical learning disability is somewhat under debate in the scientific literature.
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Several digital interventions have been developed for dyscalculics specifically. Each attempts to target basic processes that are associated with maths difficulties. Rescue
Calcularis was one early computerized intervention that sought to improve the integrity of and access to the mental number line.
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Dyscalculia is thought to be present in 3–6% of the general population, but estimates by country and sample vary somewhat. Many studies have found prevalence rates by gender to be equivalent. Those that find gender difference in prevalence rates often find dyscalculia higher in females, but some few
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Software intended to remediate dyscalculia has been developed. While computer adaptive training programs are modeled after one-to-one type interventions, they provide several advantages. Most notably, individuals are able to practice more with a digital intervention than is typically possible with a
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children can be reliably distinguished from the brains of the dyscalculic children based on the activation in the prefrontal cortex. However, due to the cost and time limitations associated with brain and neural research, these methods will likely not be incorporated into diagnostic criteria despite
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There are very few studies of adults with dyscalculia who have had a history of it growing up, but such studies have shown that it can persist into adulthood. It can affect major parts of an adult's life. Most adults with dyscalculia have a hard time processing math at a 4th-grade level. For 1st–4th
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Other than using achievement tests as diagnostic criteria, researchers often rely on domain-specific tests (i.e. tests of working memory, executive function, inhibition, intelligence, etc.) and teacher evaluations to create a more comprehensive diagnosis. Alternatively, fMRI research has shown that
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Research on subtypes of dyscalculia has begun without consensus; preliminary research has focused on comorbid learning disorders as subtyping candidates. The most common comorbidity in individuals with dyscalculia is dyslexia. Most studies done with comorbid samples versus dyscalculic-only samples
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A consensus has not yet been reached on appropriate diagnostic criteria for dyscalculia. Mathematics is a specific domain that is complex (i.e. includes many different processes, such as arithmetic, algebra, word problems, geometry, etc.) and cumulative (i.e. the processes build on each other such
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in children with developmental dyscalculia was not modulated to the same extent in response to non-symbolic numerical processing as in typically developing children. With the robust implication of the intraparietal sulcus in magnitude representation, it is possible that children with developmental
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that mastery of an advanced skill requires mastery of many basic skills). Thus dyscalculia can be diagnosed using different criteria, and frequently is; this variety in diagnostic criteria leads to variability in identified samples, and thus variability in research findings regarding dyscalculia.
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More importantly, several behavioral studies have found that children with developmental dyscalculia show an attenuated distance/ratio effect than typically developing children. Moreover, neuroimaging studies have also provided additional insights even when behavioral difference in distance/ratio
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College students particularly may have a difficult time due to the fast pace and change in difficulty of the work they are given. As a result of this, students may develop much anxiety and frustration. After dealing with their anxiety for a long time, students can become averse to math and try to
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Although many researchers believe dyscalculia to be a persistent disorder, evidence on the persistence of dyscalculia remains mixed. For instance, in a study done by
Mazzocco and Myers (2003), researchers evaluated children on a slew of measures and selected their most consistent measure as their
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To date, very few interventions have been developed specifically for individuals with dyscalculia. Concrete manipulation activities have been used for decades to train basic number concepts for remediation purposes. This method facilitates the intrinsic relationship between a goal, the learner's
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Rousselle & Noël propose that dyscalculia is caused by the inability to map preexisting representations of numerical magnitude onto symbolic Arabic digits. Evidence for this hypothesis is based on research studies that have found that individuals with dyscalculia are proficient on tasks that
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has also been used to further support the structure of the ANS. The numerical ratio effect is observed when individuals are less accurate and slower in comparing pairs of numbers that have a larger ratio (e.g., 8 and 9, ratio = 8/9) than a smaller ratio (2 and 3; ratio = 2/3). A larger numerical
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In particular, the structural features of the ANS are theoretically supported by a phenomenon called the "numerical distance effect", which has been robustly observed in numerical comparison tasks. Typically developing individuals are less accurate and slower in comparing pairs of numbers closer
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Moreover, findings from a cross-sectional study suggest that children with developmental dyscalculia might have a delayed development in their numerical magnitude representation by as much as five years. However, the lack of longitudinal studies still leaves the question open as to whether the
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researcher
Ladislav Kosc. Kosc defined dyscalculia as "a structural disorder of mathematical abilities." His research proved that the learning disability was caused by impairments to certain parts of the brain that control mathematical calculations and not because symptomatic individuals were
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While each intervention claims to improve basic numerosity skills, the authors of these interventions do admit that repetition and practice effects may be a factor involved in reported performance gains. An additional criticism is that these digital interventions lack the option to manipulate
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during visuospatial working memory tasks. Brain activity in this region during such tasks has been linked to overall arithmetic performance, indicating that numerical and working memory functions may converge in the intraparietal sulcus. However, working memory problems are confounded with
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and colleagues which teaches concepts in arithmetic, number concepts, counting, and number families using games, flash cards, and manipulables has proven successful in children with generalized math learning difficulties, but intervention has yet to be tested specifically on children with
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domain-general learning difficulties, thus these deficits may not be specific to dyscalculia but rather may reflect a greater learning deficit. Dysfunction in prefrontal regions may also lead to deficits in working memory and other executive function, accounting for comorbidity with ADHD.
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and colleagues found that children with developmental dyscalculia showed no differential distance effect on reaction time relative to typically developing children, but they did show a greater effect of distance on response accuracy. They also found that the right
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distance or ratio effect with comparison of sets of objects (i.e., non-symbolic) is thought to reflect a less precise ANS, and the ANS acuity has been found to correlate with math achievement in typically developing children and also in adults.
344:" theory suggests that approximate numerosities are automatically ordered in an ascending manner on a mental number line. The mechanism to represent and process non-symbolic magnitude (e.g., number of dots) is often known as the "
316:
causes have been put forth. With respect to pure developmental dyscalculia, domain-general causes are unlikely as they should not impair one's ability in the numerical domain without also affecting other domains such as reading.
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dyscalculia have a weak magnitude representation in the parietal region. Yet, it does not rule out an impaired ability to access and manipulate numerical quantities from their symbolic representations (e.g., Arabic digits).
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class or teacher. As with one-to-one interventions, several digital interventions have also proven successful in children with generalized math learning difficulties. Räsänen and colleagues have found that games such as
348:" (ANS), and a core deficit in the precision of the ANS, known as the "magnitude representation hypothesis" or "number module deficit hypothesis", has been proposed as an underlying cause of developmental dyscalculia.
2735:
Pugh KR, Mencl WE, Shaywitz BA, Shaywitz SE, Fulbright RK, Constable RT, et al. (2000). "The
Angluar Gyrus in Developmental Dyslexia: Task-Specific Differences in Functional Connectivity With Posterior Cortex".
265:, the ability to know, from a brief glance and without counting, how many objects there are in a small group. Children as young as five can subitize six objects, especially while looking at the dots on the sides of
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together (e.g., 7 and 8) than further apart (e.g., 2 and 9). A related "numerical ratio effect" (in which the ratio between two numbers varies but the distance is kept constant, e.g., 2 vs. 5 and 4 vs. 7) based on
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Attout, Lucie, Salmon, Eric, Majerus, Steve (2015). "Working Memory for Serial Order Is
Dysfunctional in Adults With a History of Developmental Dyscalculia: Evidence From Behavioral and Neuroimaging Data".
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have shown different mechanisms at work and additive effects of comorbidity, indicating that such subtyping may not be helpful in diagnosing dyscalculia. But there is variability in results at present.
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measure knowledge of non-symbolic numerical magnitude (i.e., non-symbolic comparison tasks) but show an impaired ability to process symbolic representations of number (i.e., symbolic comparison tasks).
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Piazza M, Facoetti A, Trussardi AN, Berteletti I, Conte S, Lucangeli D, et al. (2010). "Developmental trajectory of number acuity reveals a severe impairment in developmental dyscalculia".
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Grabner RH, Ansari D, Koschutnig K, Reishofer G, Ebner F, Neuper C (2009). "To retrieve or to calculate? Left angular gyrus mediates the retrieval of arithmetic facts during problem solving".
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was extended by adaptation algorithms and game forms allowing manipulation by the learners. It was found to improve addition, subtraction and number line tasks, and was made available as
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during tasks that measure symbolic but not non-symbolic processing of numerical magnitude. However, support for the access deficit hypothesis is not consistent across research studies.
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avoid it as much as possible, which may result in lower grades in math courses. Students with dyscalculia, however, can also do exceptionally well in writing, reading, and speaking.
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Rouselle, Noël (2007). "Basic numerical skills in children with mathematics learning disabilities: A comparison of symbolic vs non-symbolic number magnitude processing".
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Rousselle L, Noel M (2007). "Basic numerical skills in children with mathematics learning disabilities: A comparison of symbolic vs. non-symbolic number magnitude".
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Holloway ID, Price GR, Ansari D (2010). "Common and segregated neural pathways for the processing of symbolic and nonsymbolic numerical magnitude: An fMRI study".
221:. Estimates of the prevalence of dyscalculia range between 3 and 6% of the population. In 2015 it was established that 11% of children with dyscalculia also have
202:, learning how to manipulate numbers, performing mathematical calculations, and learning facts in mathematics. It is sometimes colloquially referred to as "math
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273:, trouble analyzing time and reading an analog clock, struggle with motor sequencing that involves numbers, and often counting on fingers when adding numbers.
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Kucian K, Grond U, Rotzer S, Henzi B, Schönmann C, Plangger F, et al. (2011). "Mental number line training in children with developmental dyscalculia".
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596:). The term is often used to refer specifically to the inability to perform arithmetic operations, but is also defined by some educational professionals and
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Mussolin C, De Volder A, Grandin C, Schlögel X, Nassogne M, Noël M (2010). "Neural correlates of symbolic number comparison in developmental dyscalculia".
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3521:"Evaluation of a Computer-Based Training Program for Enhancing Arithmetic Skills and Spatial Number Representation in Primary School Children"
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Monuteaux MC, Faraone SV, Herzig K, Navsaria N, Biederman J (2005). "ADHD and dyscalculia: Evidence for independent familial transmission".
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Landerl, Fussenegger B, Moll K, Willburger E (2009). "Dyslexia and dyscalculia: Two learning disorders with different cognitive profiles".
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Landerl K, Bevan A, Butterworth B (2004). "Developmental dyscalculia and basic numerical capacities: a study of 8-9-year-old students".
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tasks compared to neurotypical children. Furthermore, research has shown that children with dyscalculia have weaker activation of the
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Räsänen P, Salminen J, Wilson AJ, Aunio P, Dehaene S (2009). "Computer-assisted intervention for children with low numeracy skills".
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Halberda J, Mazzocco MM, Feigenson L (2008). "Individual differences in non-verbal number acuity correlate with maths achievement".
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2140:"Defective number module or impaired access? Numerical magnitude processing in first graders with mathematical difficulties"
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3196:"Effects of fact retrieval tutoring on third-grade students with math difficulties with and without reading difficulties"
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as a more fundamental inability to conceptualize numbers as abstract concepts of comparative quantities (a deficit in "
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Other digital interventions for dyscalculia adapt games, flash cards, and manipulables to function through technology.
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Rubinsten O, Henik A (February 2009). "Developmental dyscalculia: Heterogeneity might not mean different mechanisms".
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McLean JF, Hitch GJ (1999). "Working Memory
Impairments in Children with Specific Arithmetic Learning Difficulties".
1283:"Arithmetic processing in children with spina bifida: Calculation accuracy, strategy use, and fact retrieval fluency"
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At its most basic level, dyscalculia is a learning disability affecting the normal development of arithmetic skills.
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Why Is Math So Hard for Some
Children? The Nature and Origins of Mathematical Learning Difficulties and Disabilities
217:. Dyscalculia does not reflect a general deficit in cognitive abilities or difficulties with time, measurement, and
3678:"Preliminary evidence for performance enhancement following parietal lobe stimulation in Developmental Dyscalculia"
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2321:"Diagnosing Developmental Dyscalculia on the Basis of Reliable Single Case FMRI Methods: Promises and Limitations"
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Two competing domain-specific hypotheses about the causes of developmental dyscalculia have been proposed – the
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Rosselli M, Matute E, Pinto N, Ardila A (2006). "Memory
Abilities in Children With Subtypes of Dyscalculia".
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can improve performance on number comparison tasks in children with generalized math learning difficulties.
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Gross-Tsur V, Manor O, Shalev RS (1996). "Developmental
Dyscalculia: Prevalence and Demographic Features".
3470:"Design and evaluation of the computer-based training program Calcularis for enhancing numerical cognition"
805:
2920:"Brain Activity during a Visuospatial Working Memory Task Predicts Arithmetical Performance 2 Years Later"
1484:"Complexities in identifying and defining mathematics learning disability in the primary school-age years"
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3271:"An open trial assessment of "The Number Race", an adaptive computer game for remediation of dyscalculia"
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Ashkenazi S, Mark-Zigdon N, Henik A (2009). "Numerical distance effect in developmental dyscalculia".
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Butterworth B, Laurillard D (2010). "Low numeracy and dyscalculia: identification and intervention".
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Geary DC (1993). "Mathematical disabilities: Cognitive, neuropsychological, and genetic components".
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Fuchs LS, Geary DC, Compton DL, Fuchs D, Schatschneider C, Hamlett CL, et al. (January 2013).
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3613:"Modulating neuronal activity produces specific and long-lasting changes in numerical competence"
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955:"Dysfunctional neural network of spatial working memory contributes to developmental dyscalculia"
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action, and the informational feedback on the action. A one-to-one tutoring paradigm designed by
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Promoting
Children's Learning from Birth to Five: Developing the New Early Years Professional
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Käser T, Baschera GM, Kohn J, Kucian K, Richtmann V, Grond U, et al. (1 January 2013).
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Working with dyscalculia: recognising dyscalculia: overcoming barriers to learning in maths
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Rauscher L, Kohn J, Käser T, Mayer V, Kucian K, McCaskey U, et al. (1 January 2016).
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Butterworth B (2010). "Foundational numerical capacities and the origins of dyscalculia".
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The Trouble with Maths: A Practical Guide to Helping Learners with Numeracy Difficulties
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2871:"Developmental dyscalculia is related to visuo-spatial memory and inhibition impairment"
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Geary DC (1990). "A componential analysis of an early learning deficit in mathematics".
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was coined in the 1940s, but it was not completely recognized until 1974 by the work of
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Neurodiversity in Higher Education: Positive Responses to Specific Learning Differences
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Käser T, Busetto AG, Solenthaler B, Baschera GM, Kohn J, Kucian K, et al. (2013).
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Moyer RS, Landauer TK (1967). "Time required for judgements of numerical inequality".
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Butterworth B, Varma S, Laurillard D (2011). "Dyscalculia: from brain to education".
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Butterworth B, Varma S, Laurillard D (2011). "Dyscalculia: From brain to education".
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deficient numerical magnitude representation is a delayed development or impairment.
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484:: Studies have found that children with dyscalculia showed impaired performance on
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This shows the part of the brain where the sulcus is located in the parietal lobe.
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Dyscalculia Guidance: Helping Pupils with Specific Learning Difficulties in Maths
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3324:. National Center for Learning Disabilities and Math Difficulties. Archived from
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778:
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745: – Specific learning disability characterized by troubles with reading
609:
540:
429:
393:
341:
240:
236:
230:
214:
3787:
2810:
2721:
2576:
1779:
727: – Innate ability to detect differences in magnitude without counting
4421:
4356:
1721:
Butterworth B (2005). "Developmental dyscalculia". In Campbell JI (ed.).
953:
Rotzer S, Loenneker T, Kucian K, Martin E, Klaver P, von Aster M (2009).
668:
270:
206:", though this analogy can be misleading as they are distinct syndromes.
2206:
1825:
551:– a diagnostic test for detecting dyscalculia. Based on these findings,
374:
4542:
4509:
2139:
1530:
736:
515:
498:
262:
195:
111:
4275:
1771:
4332:
3162:
1997:"Impaired parietal magnitude processing in developmental dyscalculia"
718:
621:
445:
Due to high comorbidity with other disabilities such as dyslexia and
245:
4380:
1637:
1612:
209:
Dyscalculia is associated with dysfunction in the region around the
4656:
4626:
4532:
4422:
4109:
751: – Ability to perform calculations exceeding school attainment
742:
674:
659:
552:
457:
203:
3095:
4337:
3144:
2051:
663:
261:
The earliest appearance of dyscalculia is typically a deficit in
2589:
2433:
2184:
1995:
Price GR, Holloway I, Räsänen P, Vesterinen M, Ansari D (2007).
1280:
456:: This subtype often coexists with reading disabilities such as
4287:
4260:
4166:"Five- to 7-year-olds' finger gnosia and calculation abilities"
3611:
Cohen Kadosh R, Soskic S, Iuculano T, Kanai R, Walsh V (2010).
3610:
3569:
689:
460:
and is characterized by poor representation and retrieval from
199:
3322:"Apps to Help Students With Dyscalculia and Math Difficulties"
2958:
1994:
3576:
International Journal of Artificial Intelligence in Education
3194:
Powell SR, Fuchs LS, Fuchs D, Cirino PT, Fletcher JM (2009).
643:
639:
1254:
The Learning Brain: Memory and Brain Development in Children
464:. These processes share a common neural pathway in the left
173:
81:
4474:
3572:"Modelling and Optimizing Mathematics Learning in Children"
952:
926:"What Is Dyscalculia? What Should I Do if My Child Has It?"
472:, of which dyscalculia is one of constellation of symptoms.
446:
294:
266:
182:
179:
90:
87:
3437:
3269:
Wilson AJ, Revkin SK, Cohen D, Cohen L, Dehaene S (2006).
3034:
1855:
Halberda J, Ly R, Wilmer JB, Naiman DQ, Germine L (2012).
1168:
2869:
Szucs D, Devine A, Soltesz F, Nobes A, Gabriel F (2013).
2734:
2511:
1913:
1803:
161:
152:
69:
60:
3467:
3347:
3345:
3343:
3030:
3028:
2868:
2380:
1335:
253:, which is of innate, genetic or developmental origin.
4378:
4028:
Dyscalculia in Schools: What it is and What You Can Do
3518:
3391:
3319:
3268:
3193:
1854:
239:
disabilities can occur as the result of some types of
3765:
3351:
801:"The American Heritage Dictionary entry: dyscalculia"
775: – Study of numerical and mathematical abilities
731:
Diagnostic and Statistical Manual of Mental Disorders
575:
studies have found prevalence rates higher in males.
497:
Studies have also shown indications of causes due to
170:
158:
155:
146:
78:
66:
63:
54:
4265:
3899:
Kosc, Ladislav (1974). "Developmental dyscalculia".
3675:
3340:
3025:
2675:
1234:
International Journal of Child and Adolescent Health
1164:
1162:
1160:
1158:
685:
176:
164:
149:
84:
72:
57:
3019:
Mindstorms: Children, Computers, and Powerful Ideas
3001:
2917:
2632:
1114:
1112:
1110:
739: – Neurological disorder of written expression
335:
167:
75:
3841:The Number Sense: How the Mind Creates Mathematics
3838:
3387:
3385:
3383:
2238:"Number development and developmental dyscalculia"
1940:
361:effect might not be clearly evident. For example,
194:resulting in difficulty learning or comprehending
27:Difficulty in learning or comprehending arithmetic
4136:
3096:Fuchs LS, Powell SR, Hamlett CL, Fuchs D (2008).
1155:
4701:
4163:
4110:Brough, Mel, Henderson, Anne, Came, Fil (2003).
3726:
3102:Journal of Research on Educational Effectiveness
2376:
2374:
1694:Dehaene S (2001). "Precis of the number sense".
1107:
864:. Archived from the original on 30 November 2015
3937:
3380:
2235:
2137:
1861:Proceedings of the National Academy of Sciences
1799:
1797:
1606:
1604:
1431:
1427:
1425:
1066:
1064:
1062:
4052:
3966:
3898:
3811:"11 Facts About the Math Disorder Dyscalculia"
3433:
3431:
2626:
2287:
1070:
1023:Shalev R (2004). "Developmental Dyscalculia".
396:also report increased activation in the right
4407:
3262:
2817:
2583:
2371:
2094:
1749:
1481:
721: – Acquired difficulty with simple maths
648:comes from Greek and means "badly". The root
4480:Mixed receptive-expressive language disorder
4025:
2952:
2468:
2242:Developmental Medicine & Child Neurology
1990:
1988:
1986:
1794:
1670:"What Does Dyscalculia Look Like in Adults?"
1601:
1422:
1405:"What Does Dyscalculia Look Like in Adults?"
1059:
505:, but evidence of this is not yet concrete.
386:
225:. Dyscalculia has also been associated with
3830:
3604:
3428:
3200:Learning Disabilities Research and Practice
2862:
2823:
1720:
1231:
1118:
733: – American psychiatric classification
653:
4414:
4400:
3863:
3768:Developmental Medicine and Child Neurology
2728:
1336:Fischer B, Gebhardt C, Hartnegg K (2008).
1232:Soares N, Patel DR (2015). "Dyscalculia".
276:
4191:
4181:
3703:
3693:
3652:
3587:
3546:
3536:
3495:
3485:
3296:
3286:
3219:
3170:
3121:
3056:
3016:
2935:
2894:
2837:
2792:
2711:
2701:
2676:Horwitz B, Rumsey JM, Donohue BC (1998).
2394:
2354:
2344:
2253:
2020:
1983:
1958:
1890:
1880:
1636:
1507:
1250:
1192:
4250:) is being considered for deletion. See
4114:. Santa Barbara, Calif: Learning Works.
4082:
3006:. Maidenhead, UK: Open University Press.
2826:Journal of Experimental Child Psychology
2781:Journal of Experimental Child Psychology
2436:Journal of Experimental Child Psychology
2283:
2281:
2144:Journal of Experimental Child Psychology
1610:
1018:
1016:
1014:
414:
373:
295:College students or other adult learners
285:
3836:
3808:
2294:. Brookes Publishing Company. pp.
1693:
642:and means "counting badly". The prefix
564:transcranial direct current stimulation
547:, an online training that includes the
14:
4702:
3967:Ardila A, Rosselli M (December 2002).
2604:10.1016/j.neuropsychologia.2008.10.013
2318:
1941:Mussolin C, Mejias S, Noël MP (2010).
1022:
974:10.1016/j.neuropsychologia.2009.06.009
898:"Dyscalculia Definition & Meaning"
781: – Fear of numbers or mathematics
198:, such as difficulty in understanding
4622:Learning problems in childhood cancer
4395:
4377:
4030:. First & Best in Education Ltd.
3869:
3463:
3461:
2778:
2554:
2278:
1573:
1571:
1011:
419:The example of each condition in the
256:
1667:
1402:
948:
946:
829:"Dyscalculia definition and meaning"
4566:Developmental coordination disorder
3676:Iuculano T, Cohen Kadosh R (2014).
763: – Neurodevelopmental disorder
24:
4085:Handbook of Mathematical Cognition
3931:
3780:10.1111/j.1469-8749.1996.tb15029.x
3458:
2918:Dumontheil I, Klingberg T (2012).
1723:Handbook of mathematical cognition
1568:
1345:Optometry & Vision Development
923:
769: – Intuitive grasp of numbers
25:
4741:
4254:to help reach a consensus. ›
4233:
3151:Journal of Educational Psychology
2187:Journal of Cognitive Neuroscience
943:
4427:specific developmental disorders
4379:
3901:Journal of Learning Disabilities
3727:Shalev RS, Gross-Tsur V (2001).
3406:10.1016/j.neuroimage.2011.01.070
3212:10.1111/j.1540-5826.2008.01272.x
3021:. Brighton, UK: Harvester Press.
2647:10.1016/j.neuroimage.2009.07.071
2255:10.1111/j.1469-8749.2007.00868.x
1589:from the original on 9 July 2021
1287:Journal of Learning Disabilities
702:
688:
336:Magnitude representation deficit
326:number module deficit hypothesis
142:
50:
4164:Reeve R, Humberstone J (2011).
3892:
3802:
3759:
3720:
3682:Frontiers in Human Neuroscience
3669:
3563:
3512:
3313:
3236:
3187:
3138:
3089:
3010:
2995:
2911:
2772:
2669:
2548:
2505:
2483:10.1016/j.cognition.2006.01.005
2462:
2427:
2405:10.1016/j.cognition.2003.11.004
2312:
2236:Von Aster MG, Shalev R (2007).
2229:
2178:
2131:
2109:10.1016/j.cognition.2006.01.005
2088:
2066:10.1016/j.cognition.2010.03.012
2045:
1960:10.1016/j.cognition.2009.10.006
1934:
1907:
1848:
1743:
1714:
1687:
1661:
1524:
1475:
1396:
1370:
1329:
1274:
1244:
1225:
569:
4571:Developmental verbal dyspraxia
4548:Disorder of written expression
4490:Speech and language impairment
3941:My thirteenth winter: a memoir
3320:Hatton, Darla, Hatton, Kaila.
3002:A. Anning, A. Edwards (1999).
2138:De Smedt B, Gilmore C (2011).
1441:European Journal of Pediatrics
1432:Kucian K, von Aster M (2015).
1073:Trends Cogn. Sci. (Regul. Ed.)
917:
890:
848:
821:
793:
13:
1:
4384:Topics related to Dyscalculia
4239:
4141:. New York: RoutledgeFalmer.
3745:10.1016/s0887-8994(00)00258-7
2514:Developmental Neuropsychology
1611:Callaway E (9 January 2013).
1546:10.1080/87565641.2015.1036993
1534:Developmental Neuropsychology
786:
631:dates back to at least 1949.
4710:Neurodevelopmental disorders
4587:Auditory processing disorder
4485:Specific language impairment
4455:Expressive language disorder
3452:10.1016/j.cogdev.2009.09.003
2973:10.1177/00222194050380010701
2887:10.1016/j.cortex.2013.06.007
2803:10.1016/0022-0965(90)90065-G
2346:10.1371/journal.pone.0083722
1928:10.1016/j.cogdev.2009.09.006
1299:10.1177/00222194060390020601
1121:Trends in Cognitive Sciences
1037:10.1177/08830738040190100601
806:American Heritage Dictionary
757: – Anxiety towards math
644:
615:
508:
403:
7:
4592:Sensory processing disorder
3969:"Acalculia and dyscalculia"
3944:. New York: Orchard Books.
3809:Whitney AK (6 April 2015).
3729:"Developmental dyscalculia"
2569:10.1037/0033-2909.114.2.345
1668:Frye D (15 February 2017).
1613:"Dyscalculia: Number games"
1579:"College & Dyscalculia"
1434:"Developmental Dyscalculia"
1403:Frye D (15 February 2017).
761:Nonverbal learning disorder
681:
123:difficulty with daily tasks
10:
4746:
4137:Chinn, Stephen J. (2004).
3913:10.1177/002221947400700309
2448:10.1016/j.jecp.2009.03.006
2156:10.1016/j.jecp.2010.09.003
1133:10.1016/j.tics.2010.09.007
1085:10.1016/j.tics.2008.11.002
1025:Journal of Child Neurology
834:Collins English Dictionary
619:
578:
4670:
4604:
4579:
4558:
4523:
4440:
4433:
4389:
4347:
4269:
4087:. Psychology Press (UK).
3637:10.1016/j.cub.2010.10.007
3589:10.1007/s40593-013-0003-7
3366:10.1007/s11858-010-0267-4
3114:10.1080/19345740701692449
2526:10.1207/s15326942dn3003_3
2022:10.1016/j.cub.2007.10.013
1500:10.1007/s11881-003-0011-7
1453:10.1007/s00431-014-2455-7
1351:(1): 24–9. Archived from
882:: CS1 maint: unfit URL (
725:Approximate number system
387:Access deficit hypothesis
346:approximate number system
330:access deficit hypothesis
303:
243:, in which case the term
213:and potentially also the
127:
117:
105:
42:
37:
4637:Multisensory integration
4465:Landau–Kleffner syndrome
4252:templates for discussion
4183:10.3389/fpsyg.2011.00359
3938:Abeel, Samantha (2003).
3870:Trott C (5 March 2009).
3695:10.3389/fnhum.2014.00038
3538:10.3389/fpsyg.2016.00913
3487:10.3389/fpsyg.2013.00489
1482:Mozzocco, Myers (2003).
620:Not to be confused with
436:
322:magnitude representation
4170:Frontiers in Psychology
3988:10.1023/a:1021343508573
3878:. John Wiley and Sons.
3847:Oxford University Press
3525:Frontiers in Psychology
3474:Frontiers in Psychology
3067:10.1126/science.1201536
2750:10.1111/1467-9280.00214
2703:10.1073/pnas.95.15.8939
2288:Berch, Mozacco (2007).
2199:10.1162/jocn.2009.21237
1882:10.1073/pnas.1200196109
1708:10.1111/1468-0017.00154
1259:Oxford University Press
1203:10.1126/science.1201536
634:Dyscalculia comes from
598:cognitive psychologists
421:numerical Stroop effect
277:Persistence in children
4632:Management of dyslexia
4210:"Sharma: Publications"
4060:. London: NferNelson.
3288:10.1186/1744-9081-2-20
2848:10.1006/jecp.1999.2516
2557:Psychological Bulletin
654:
545:Meister Cody – Talasia
424:
379:
4730:Learning disabilities
4720:Mathematics education
4505:Speech sound disorder
4026:Tony Attwood (2002).
3874:. In Pollak D (ed.).
3440:Cognitive Development
3244:"Dynamo Intervention"
2937:10.1093/cercor/bhr175
2738:Psychological Science
1916:Cognitive Development
1378:"What Is Dyscalculia"
652:comes from the Latin
594:multiplication tables
433:their effectiveness.
418:
377:
286:Persistence in adults
4683:People with dyslexia
4083:Campbell JI (2004).
1729:. pp. 455–467.
1251:Klingberg T (2013),
755:Mathematical anxiety
503:hereditary disorders
490:intraparietal sulcus
398:intraparietal sulcus
394:Neuroimaging studies
368:intraparietal sulcus
229:and people who have
211:intraparietal sulcus
18:Mathematics disorder
4678:Dyslexia in fiction
4652:Reading acquisition
4525:Learning disability
3733:Pediatric Neurology
3629:2010CBio...20.2016C
3049:2011Sci...332.1049B
2694:1998PNAS...95.8939H
2337:2013PLoSO...883722D
2013:2007CBio...17R1042P
1873:2012PNAS..10911116H
1867:(28): 11116–11120.
1826:10.1038/nature07246
1818:2008Natur.455..665H
1764:1967Natur.215.1519M
1758:(5109): 1519–1520.
1696:Mind & Language
1629:2013Natur.493..150C
1583:www.dyscalculia.org
1185:2011Sci...332.1049B
1179:(6033): 1049–1053.
861:Oxford Dictionaries
773:Numerical cognition
557:Dybuster Calcularis
553:Dybuster Calcularis
476:Procedural concepts
249:is used instead of
192:learning disability
4348:External resources
3837:Dehaene S (1997).
3328:on 21 January 2013
3017:S. Papert (1980).
1488:Annals of Dyslexia
999:on 23 January 2020
470:Gerstmann syndrome
428:the brains of the
425:
380:
257:Signs and symptoms
4697:
4696:
4691:
4690:
4612:Dyslexia research
4600:
4599:
4515:Tip of the tongue
4470:Language disorder
4371:
4370:
4148:978-0-415-32498-4
4121:978-0-9531055-2-6
4094:978-1-84169-411-5
4067:978-0-7087-1152-1
4037:978-1-86083-614-5
3951:978-0-439-33904-9
3885:978-0-470-99753-6
3856:978-0-19-513240-3
3623:(22): 2016–2020.
3275:Behav Brain Funct
3043:(6033): 1049–53.
2881:(10): 2674–2688.
2688:(15): 8939–8944.
2305:978-1-55766-864-6
2007:(24): 1042–1043.
1812:(7213): 665–668.
1772:10.1038/2151519a0
1736:978-0-203-99804-5
1623:(7431): 150–153.
1358:on 9 October 2010
1268:978-0-19-991710-5
968:(13): 2859–2865.
606:Brian Butterworth
602:Stanislas Dehaene
219:spatial reasoning
135:
134:
32:Medical condition
16:(Redirected from
4737:
4725:1940s neologisms
4460:Infantile speech
4442:Speech, language
4438:
4437:
4416:
4409:
4402:
4393:
4392:
4383:
4375:
4374:
4267:
4266:
4229:
4227:
4225:
4216:. Archived from
4205:
4195:
4185:
4160:
4133:
4106:
4079:
4056:, Yeo D (2004).
4049:
4022:
4020:
4018:
4012:
4006:. Archived from
3976:Neuropsychol Rev
3973:
3963:
3925:
3924:
3896:
3890:
3889:
3867:
3861:
3860:
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3591:
3582:(1–4): 115–135.
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3540:
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3509:
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3250:. 5 October 2023
3240:
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3163:10.1037/a0030127
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2641:(1): 1006–1017.
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2592:Neuropsychologia
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1727:Psychology Press
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962:Neuropsychologia
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696:Education portal
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68:
65:
62:
59:
56:
35:
34:
21:
4745:
4744:
4740:
4739:
4738:
4736:
4735:
4734:
4700:
4699:
4698:
4693:
4692:
4687:
4666:
4642:Neuropsychology
4596:
4575:
4554:
4519:
4495:Speech disorder
4445:
4429:
4420:
4385:
4372:
4367:
4366:
4343:
4342:
4278:
4255:
4236:
4223:
4221:
4220:on 25 June 2012
4214:Dyscalculia.org
4208:
4149:
4122:
4095:
4068:
4038:
4016:
4014:
4013:on 4 March 2016
4010:
3971:
3952:
3934:
3932:Further reading
3929:
3928:
3897:
3893:
3886:
3868:
3864:
3857:
3835:
3831:
3821:
3819:
3807:
3803:
3764:
3760:
3725:
3721:
3674:
3670:
3617:Current Biology
3609:
3605:
3568:
3564:
3517:
3513:
3466:
3459:
3436:
3429:
3390:
3381:
3350:
3341:
3331:
3329:
3318:
3314:
3267:
3263:
3253:
3251:
3242:
3241:
3237:
3192:
3188:
3143:
3139:
3094:
3090:
3058:10.1.1.568.4665
3033:
3026:
3015:
3011:
3000:
2996:
2961:J Learn Disabil
2957:
2953:
2924:Cerebral Cortex
2916:
2912:
2867:
2863:
2839:10.1.1.457.6075
2822:
2818:
2794:10.1.1.412.9431
2777:
2773:
2733:
2729:
2674:
2670:
2631:
2627:
2588:
2584:
2553:
2549:
2510:
2506:
2467:
2463:
2432:
2428:
2396:10.1.1.123.8504
2379:
2372:
2319:Dinkel (2013).
2317:
2313:
2306:
2286:
2279:
2248:(11): 868–873.
2234:
2230:
2183:
2179:
2136:
2132:
2093:
2089:
2050:
2046:
2001:Current Biology
1993:
1984:
1939:
1935:
1912:
1908:
1853:
1849:
1802:
1795:
1748:
1744:
1737:
1719:
1715:
1692:
1688:
1678:
1676:
1666:
1662:
1638:10.1038/493150a
1609:
1602:
1592:
1590:
1577:
1576:
1569:
1529:
1525:
1480:
1476:
1436:
1430:
1423:
1413:
1411:
1401:
1397:
1387:
1385:
1384:. 5 August 2019
1376:
1375:
1371:
1361:
1359:
1355:
1340:
1334:
1330:
1279:
1275:
1269:
1249:
1245:
1230:
1226:
1194:10.1.1.568.4665
1167:
1156:
1127:(12): 534–541.
1117:
1108:
1069:
1060:
1031:(10): 765–771.
1021:
1012:
1002:
1000:
996:
957:
951:
944:
934:
932:
922:
918:
908:
906:
896:
895:
891:
875:
874:
867:
865:
854:
853:
849:
839:
837:
827:
826:
822:
812:
810:
809:. HarperCollins
799:
798:
794:
789:
784:
710:Medicine portal
708:
703:
701:
694:
687:
684:
658:, which means "
625:
618:
589:Czechoslovakian
581:
572:
549:CODY Assessment
529:Graphogame-math
525:The Number Race
511:
454:Semantic memory
439:
406:
389:
338:
314:domain-specific
306:
297:
288:
279:
259:
227:Turner syndrome
145:
141:
101:
53:
49:
33:
28:
23:
22:
15:
12:
11:
5:
4743:
4733:
4732:
4727:
4722:
4717:
4712:
4695:
4694:
4689:
4688:
4686:
4685:
4680:
4674:
4672:
4668:
4667:
4665:
4664:
4662:Writing system
4659:
4654:
4649:
4647:Neurodiversity
4644:
4639:
4634:
4629:
4624:
4619:
4614:
4608:
4606:
4605:Related topics
4602:
4601:
4598:
4597:
4595:
4594:
4589:
4583:
4581:
4577:
4576:
4574:
4573:
4568:
4562:
4560:
4556:
4555:
4553:
4552:
4551:
4550:
4540:
4535:
4529:
4527:
4521:
4520:
4518:
4517:
4512:
4507:
4502:
4497:
4492:
4487:
4482:
4477:
4472:
4467:
4462:
4457:
4451:
4449:
4435:
4431:
4430:
4419:
4418:
4411:
4404:
4396:
4390:
4387:
4386:
4369:
4368:
4365:
4364:
4352:
4351:
4349:
4345:
4344:
4341:
4340:
4329:
4318:
4299:
4279:
4274:
4273:
4271:
4270:Classification
4264:
4263:
4235:
4234:External links
4232:
4231:
4230:
4206:
4161:
4147:
4134:
4120:
4107:
4093:
4080:
4066:
4050:
4036:
4023:
3982:(4): 179–231.
3964:
3950:
3933:
3930:
3927:
3926:
3891:
3884:
3862:
3855:
3829:
3801:
3758:
3739:(5): 337–342.
3719:
3668:
3603:
3562:
3511:
3457:
3446:(4): 450–472.
3427:
3400:(3): 782–795.
3379:
3360:(6): 527–539.
3339:
3312:
3261:
3235:
3186:
3137:
3088:
3024:
3009:
2994:
2951:
2910:
2861:
2832:(3): 240–260.
2816:
2787:(3): 363–383.
2771:
2727:
2668:
2625:
2598:(2): 604–608.
2582:
2563:(2): 345–362.
2547:
2520:(3): 801–818.
2504:
2477:(3): 361–395.
2461:
2442:(3): 309–324.
2426:
2370:
2331:(12): e83722.
2311:
2304:
2277:
2228:
2193:(5): 860–874.
2177:
2150:(2): 278–292.
2130:
2103:(3): 361–395.
2087:
2044:
1982:
1933:
1922:(4): 387–400.
1906:
1847:
1793:
1742:
1735:
1713:
1686:
1660:
1600:
1567:
1523:
1494:(1): 218–253.
1474:
1421:
1395:
1369:
1328:
1293:(2): 174–187.
1273:
1267:
1261:, p. 68,
1243:
1224:
1154:
1106:
1058:
1010:
942:
916:
903:Dictionary.com
889:
847:
820:
791:
790:
788:
785:
783:
782:
776:
770:
764:
758:
752:
746:
740:
734:
728:
722:
715:
714:
713:
699:
683:
680:
617:
614:
580:
577:
571:
568:
510:
507:
495:
494:
486:working memory
482:Working memory
479:
473:
438:
435:
405:
402:
388:
385:
363:Gavin R. Price
337:
334:
310:domain-general
305:
302:
296:
293:
287:
284:
278:
275:
258:
255:
133:
132:
129:
125:
124:
121:
115:
114:
109:
103:
102:
100:
99:
46:
44:
40:
39:
31:
26:
9:
6:
4:
3:
2:
4742:
4731:
4728:
4726:
4723:
4721:
4718:
4716:
4713:
4711:
4708:
4707:
4705:
4684:
4681:
4679:
4676:
4675:
4673:
4669:
4663:
4660:
4658:
4655:
4653:
4650:
4648:
4645:
4643:
4640:
4638:
4635:
4633:
4630:
4628:
4625:
4623:
4620:
4618:
4617:Learning Ally
4615:
4613:
4610:
4609:
4607:
4603:
4593:
4590:
4588:
4585:
4584:
4582:
4578:
4572:
4569:
4567:
4564:
4563:
4561:
4557:
4549:
4546:
4545:
4544:
4541:
4539:
4536:
4534:
4531:
4530:
4528:
4526:
4522:
4516:
4513:
4511:
4508:
4506:
4503:
4501:
4498:
4496:
4493:
4491:
4488:
4486:
4483:
4481:
4478:
4476:
4473:
4471:
4468:
4466:
4463:
4461:
4458:
4456:
4453:
4452:
4450:
4448:
4447:communication
4443:
4439:
4436:
4432:
4428:
4424:
4417:
4412:
4410:
4405:
4403:
4398:
4397:
4394:
4388:
4382:
4376:
4363:
4359:
4358:
4354:
4353:
4350:
4346:
4339:
4335:
4334:
4330:
4328:
4324:
4323:
4319:
4317:
4313:
4309:
4308:
4304:
4300:
4298:
4294:
4290:
4289:
4285:
4281:
4280:
4277:
4272:
4268:
4262:
4258:
4253:
4249:
4248:
4243:
4238:
4237:
4219:
4215:
4211:
4207:
4203:
4199:
4194:
4189:
4184:
4179:
4175:
4171:
4167:
4162:
4158:
4154:
4150:
4144:
4140:
4135:
4131:
4127:
4123:
4117:
4113:
4108:
4104:
4100:
4096:
4090:
4086:
4081:
4077:
4073:
4069:
4063:
4059:
4055:
4054:Butterworth B
4051:
4047:
4043:
4039:
4033:
4029:
4024:
4009:
4005:
4001:
3997:
3993:
3989:
3985:
3981:
3977:
3970:
3965:
3961:
3957:
3953:
3947:
3943:
3942:
3936:
3935:
3922:
3918:
3914:
3910:
3907:(3): 159–62.
3906:
3902:
3895:
3887:
3881:
3877:
3873:
3872:"Dyscalculia"
3866:
3858:
3852:
3848:
3843:
3842:
3833:
3818:
3817:
3812:
3805:
3797:
3793:
3789:
3785:
3781:
3777:
3773:
3769:
3762:
3754:
3750:
3746:
3742:
3738:
3734:
3730:
3723:
3715:
3711:
3706:
3701:
3696:
3691:
3687:
3683:
3679:
3672:
3664:
3660:
3655:
3650:
3646:
3642:
3638:
3634:
3630:
3626:
3622:
3618:
3614:
3607:
3599:
3595:
3590:
3585:
3581:
3577:
3573:
3566:
3558:
3554:
3549:
3544:
3539:
3534:
3530:
3526:
3522:
3515:
3507:
3503:
3498:
3493:
3488:
3483:
3479:
3475:
3471:
3464:
3462:
3453:
3449:
3445:
3441:
3434:
3432:
3423:
3419:
3415:
3411:
3407:
3403:
3399:
3395:
3388:
3386:
3384:
3375:
3371:
3367:
3363:
3359:
3355:
3348:
3346:
3344:
3327:
3323:
3316:
3308:
3304:
3299:
3294:
3289:
3284:
3280:
3276:
3272:
3265:
3249:
3245:
3239:
3231:
3227:
3222:
3217:
3213:
3209:
3205:
3201:
3197:
3190:
3182:
3178:
3173:
3168:
3164:
3160:
3156:
3152:
3148:
3141:
3133:
3129:
3124:
3119:
3115:
3111:
3107:
3103:
3099:
3092:
3084:
3080:
3076:
3072:
3068:
3064:
3059:
3054:
3050:
3046:
3042:
3038:
3031:
3029:
3020:
3013:
3005:
2998:
2990:
2986:
2982:
2978:
2974:
2970:
2966:
2962:
2955:
2947:
2943:
2938:
2933:
2929:
2925:
2921:
2914:
2906:
2902:
2897:
2892:
2888:
2884:
2880:
2876:
2872:
2865:
2857:
2853:
2849:
2845:
2840:
2835:
2831:
2827:
2820:
2812:
2808:
2804:
2800:
2795:
2790:
2786:
2782:
2775:
2767:
2763:
2759:
2755:
2751:
2747:
2743:
2739:
2731:
2723:
2719:
2714:
2709:
2704:
2699:
2695:
2691:
2687:
2683:
2679:
2672:
2664:
2660:
2656:
2652:
2648:
2644:
2640:
2636:
2629:
2621:
2617:
2613:
2609:
2605:
2601:
2597:
2593:
2586:
2578:
2574:
2570:
2566:
2562:
2558:
2551:
2543:
2539:
2535:
2531:
2527:
2523:
2519:
2515:
2508:
2500:
2496:
2492:
2488:
2484:
2480:
2476:
2472:
2465:
2457:
2453:
2449:
2445:
2441:
2437:
2430:
2422:
2418:
2414:
2410:
2406:
2402:
2397:
2392:
2389:(2): 99–125.
2388:
2384:
2377:
2375:
2366:
2362:
2357:
2352:
2347:
2342:
2338:
2334:
2330:
2326:
2322:
2315:
2307:
2301:
2297:
2293:
2292:
2284:
2282:
2273:
2269:
2265:
2261:
2256:
2251:
2247:
2243:
2239:
2232:
2224:
2220:
2216:
2212:
2208:
2204:
2200:
2196:
2192:
2188:
2181:
2173:
2169:
2165:
2161:
2157:
2153:
2149:
2145:
2141:
2134:
2126:
2122:
2118:
2114:
2110:
2106:
2102:
2098:
2091:
2083:
2079:
2075:
2071:
2067:
2063:
2059:
2055:
2048:
2040:
2036:
2032:
2028:
2023:
2018:
2014:
2010:
2006:
2002:
1998:
1991:
1989:
1987:
1978:
1974:
1970:
1966:
1961:
1956:
1952:
1948:
1944:
1937:
1929:
1925:
1921:
1917:
1910:
1902:
1898:
1893:
1888:
1883:
1878:
1874:
1870:
1866:
1862:
1858:
1851:
1843:
1839:
1835:
1831:
1827:
1823:
1819:
1815:
1811:
1807:
1800:
1798:
1789:
1785:
1781:
1777:
1773:
1769:
1765:
1761:
1757:
1753:
1746:
1738:
1732:
1728:
1724:
1717:
1709:
1705:
1701:
1697:
1690:
1675:
1671:
1664:
1656:
1652:
1648:
1644:
1639:
1634:
1630:
1626:
1622:
1618:
1614:
1607:
1605:
1588:
1584:
1580:
1574:
1572:
1563:
1559:
1555:
1551:
1547:
1543:
1540:(4): 230–47.
1539:
1535:
1527:
1519:
1515:
1510:
1505:
1501:
1497:
1493:
1489:
1485:
1478:
1470:
1466:
1462:
1458:
1454:
1450:
1446:
1442:
1435:
1428:
1426:
1410:
1406:
1399:
1383:
1379:
1373:
1354:
1350:
1346:
1339:
1332:
1324:
1320:
1316:
1312:
1308:
1304:
1300:
1296:
1292:
1288:
1284:
1277:
1270:
1264:
1260:
1256:
1255:
1247:
1239:
1235:
1228:
1220:
1216:
1212:
1208:
1204:
1200:
1195:
1190:
1186:
1182:
1178:
1174:
1173:
1165:
1163:
1161:
1159:
1150:
1146:
1142:
1138:
1134:
1130:
1126:
1122:
1115:
1113:
1111:
1102:
1098:
1094:
1090:
1086:
1082:
1078:
1074:
1067:
1065:
1063:
1054:
1050:
1046:
1042:
1038:
1034:
1030:
1026:
1019:
1017:
1015:
995:
991:
987:
983:
979:
975:
971:
967:
963:
956:
949:
947:
931:
927:
920:
905:
904:
899:
893:
885:
879:
863:
862:
857:
851:
836:
835:
830:
824:
808:
807:
802:
796:
792:
780:
777:
774:
771:
768:
765:
762:
759:
756:
753:
750:
749:Hypercalculia
747:
744:
741:
738:
735:
732:
729:
726:
723:
720:
717:
716:
711:
700:
697:
691:
686:
679:
677:
676:
671:
670:
665:
661:
656:
651:
646:
641:
637:
632:
630:
623:
613:
611:
607:
603:
599:
595:
590:
586:
576:
567:
565:
562:A study used
560:
558:
554:
550:
546:
542:
541:serious games
536:
532:
530:
526:
520:
517:
506:
504:
500:
491:
487:
483:
480:
477:
474:
471:
467:
466:angular gyrus
463:
459:
455:
452:
451:
450:
448:
443:
434:
431:
422:
417:
413:
409:
401:
399:
395:
384:
376:
372:
369:
364:
358:
355:
349:
347:
343:
333:
331:
327:
323:
318:
315:
311:
301:
292:
283:
274:
272:
268:
264:
254:
252:
248:
247:
242:
238:
234:
232:
228:
224:
220:
216:
212:
207:
205:
201:
197:
193:
187:
139:
130:
126:
122:
120:
119:Complications
116:
113:
110:
108:
104:
95:
48:
47:
45:
43:Pronunciation
41:
36:
30:
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