Knowledge (XXG)

Numeracy

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reading and mathematical abilities between children of ages five and seven, each in three different mental capacity groups (underachieving, average, and overachieving). The differences in the amount of knowledge retained were greater between the three different groups aged five than between the groups aged seven. This reveals that those of younger ages have an opportunity to retain more information, like numeracy. According to Gelman and Gallistel in The Child's Understanding of Number, 'children as young as 2 years can accurately judge numerosity provided that the numerosity is not larger than two or three'. Children as young as three have been found to understand elementary mathematical concepts. Kilpatrick and his colleagues state 'most preschoolers show that they can understand and perform simple addition and subtraction by at least 3 years of age'. Lastly, it has been observed that pre-school children benefit from their basic understanding of 'counting, reading and writing of numbers, understanding of simple addition and subtraction, numerical reasoning, classifying of objects and shapes, estimating, measuring, reproduction of number patterns'.
475:). Innumeracy is also a very common problem when dealing with risk perception in health-related behavior; it is associated with patients, physicians, journalists and policymakers. Those who lack or have limited health numeracy skills run the risk of making poor health-related decisions because of an inaccurate perception of information. For example, if a patient has been diagnosed with breast cancer, being innumerate may hinder her ability to comprehend her physician's recommendations, or even the severity of the health concern or even the likelihood of treatment benefits. One study found that people tended to overestimate their chances of survival or even to choose lower-quality hospitals. Innumeracy also makes it difficult or impossible for some patients to read medical graphs correctly. Some authors have distinguished graph literacy from numeracy. Indeed, many doctors exhibit innumeracy when attempting to explain a graph or statistics to a patient. A misunderstanding between a doctor and patient, due to either the doctor, patient, or both being unable to comprehend numbers effectively, could result in serious harm to health. 416:
because of their memory capacity to comprehend the material. Patterns of innumeracy have also been observed depending on age, gender, and race. Older adults have been associated with lower numeracy skills than younger adults. Men have been identified to have higher numeracy skills than women. Some studies seem to indicate young people of African heritage tend to have lower numeracy skills. The Trends in International Mathematics and Science Study (TIMSS) in which children at fourth-grade (average 10 to 11 years) and eighth-grade (average 14 to 15 years) from 49 countries were tested on mathematical comprehension. The assessment included tests for number, algebra (also called patterns and relationships at fourth grade), measurement, geometry, and data. The latest study, in 2003, found that children from
434:, created the terms "biological primary abilities" and "biological secondary abilities". Biological primary abilities evolve over time and are necessary for survival. Such abilities include speaking a common language or knowledge of simple mathematics. Biological secondary abilities are attained through personal experiences and cultural customs, such as reading or high level mathematics learned through schooling. Literacy and numeracy are similar in the sense that they are both important skills used in life. However, they differ in the sorts of mental demands each makes. Literacy consists of acquiring vocabulary and grammatical sophistication, which seem to be more closely related to memorization, whereas numeracy involves manipulating concepts, such as in 45: 61: 355:, who are involved in the study of numeracy. These tests are used to assess ability to comprehend and apply numbers. They are sometimes administered with a time limit, so that the test-taker must think quickly and concisely. Research has shown that these tests are very useful in evaluating potential applicants because they do not allow the applicants to prepare for the test, unlike interview questions. This suggests that an applicant's results are reliable and accurate 116:(the lack of numeracy) can have a negative impact. Numeracy has an influence on healthy behaviors, financial literacy, and career decisions. Therefore, innumeracy may negatively affect economic choices, financial outcomes, health outcomes, and life satisfaction. It also may distort risk perception in health decisions. Greater numeracy has been associated with reduced susceptibility to 162:). For example, in one experiment, an experimenter presented an infant with two piles of crackers, one with two crackers the other with three. The experimenter then covered each pile with a cup. When allowed to choose a cup, the infant always chose the cup with more crackers because the infant could distinguish the difference. 420:
at both grade levels had the highest performance. Countries like Hong Kong SAR, Japan, and Taiwan also shared high levels of numeracy. The lowest scores were found in countries like South Africa, Ghana, and Saudi Arabia. Another finding showed a noticeable difference between boys and girls, with some
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The root causes of innumeracy vary. Innumeracy has been seen in those suffering from poor education and childhood deprivation of numeracy. Innumeracy is apparent in children during the transition between numerical skills obtained before schooling and the new skills taught in the education departments
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were shown two dolls, which were then hidden with a screen. The babies saw the experimenter pull one doll from behind the screen. Without the child's knowledge, a second experimenter could remove, or add dolls, unseen behind the screen. When the screen was removed, the infants showed more surprise at
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environment increases the likelihood of the child being prepared for comprehending complex mathematical schooling. For example, if a child is influenced by many learning activities in the household, such as puzzles, coloring books, mazes, or books with picture riddles, then they will be more prepared
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Age is accounted for when discussing the development of numeracy in children. Children under the age of 5 have the best opportunity to absorb basic numeracy skills. After the age of seven, achievement of basic numeracy skills become less influential. For example, a study was conducted to compare the
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Children who are brought up in families with high SES tend to be more engaged in developmentally enhancing activities. These children are more likely to develop the necessary abilities to learn and to become more motivated to learn. More specifically, a mother's education level is considered to have
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The first couple of years of childhood are considered to be a vital part of life for the development of numeracy and literacy. There are many components that play key roles in the development of numeracy at a young age, such as Socioeconomic Status (SES), parenting, Home Learning Environment (HLE),
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Fundamental (or rudimentary) numeracy skills include understanding of the real number line, time, measurement, and estimation. Fundamental skills include basic skills (the ability to identify and understand numbers) and computational skills (the ability to perform simple arithmetical operations and
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is to substantially increase the number of youths who have relevant skills for decent work and employment because, even outside these specialized areas, the lack of numeracy skills can reduce employment opportunities and promotions, resulting in unskilled manual careers, low-paying jobs, and even
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Health numeracy has been defined as "the degree to which individuals have the capacity to access, process, interpret, communicate, and act on numerical, quantitative, graphical, biostatistical, and probabilistic health information needed to make effective health decisions". The concept of health
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and numeracy, which can be seen in young children. Depending on the level of literacy or numeracy at a young age, one can predict the growth of literacy and/ or numeracy skills in future development. There is some evidence that humans may have an inborn sense of number. In one study for example,
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More sophisticated numeracy skills include understanding of ratio concepts (notably fractions, proportions, percentages, and probabilities), and knowing when and how to perform multistep operations. Two categories of skills are included at the higher levels: the analytical skills (the ability to
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Parents are advised to collaborate with their child in simple learning exercises, such as reading a book, painting, drawing, and playing with numbers. On a more expressive note, the act of using complex language, being more responsive towards the child, and establishing warm interactions are
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recommended to parents with the confirmation of positive numeracy outcomes. When discussing beneficial parenting behaviors, a feedback loop is formed because pleased parents are more willing to interact with their child, which in essence promotes better development in the child.
155:). For example, one experiment showed children and adults arrays of many dots. After briefly observing them, both groups could accurately estimate the approximate number of dots. However, distinguishing differences between large numbers of dots proved to be more challenging. 84:
operations like addition, subtraction, multiplication, and division. For example, if one can understand simple mathematical equations such as 2 + 2 = 4, then one would be considered to possess at least basic numeric knowledge. Substantial aspects of numeracy also include
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states: "Numeracy means understanding how mathematics is used in the real world and being able to apply it to make the best possible decisions...It's as much about thinking and reasoning as about 'doing sums'". Basic numeracy skills consist of comprehending fundamental
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Health numeracy requires basic numeracy but also more advanced analytical and statistical skills. For instance, health numeracy also requires the ability to understand probabilities or relative frequencies in various numerical and graphical formats, and to engage in
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Melhuish, Edward C.; Phan, Mai B.; Sylva, Kathy; Sammons, Pam; Siraj-Blatchford, Iram; Taggart, Brenda (March 2008). "Effects of the Home Learning Environment and Preschool Center Experience upon Literacy and Numeracy Development in Early Primary School".
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study the development and inequalities of numeracy over time and throughout regions. For example, Baten and Hippe find a numeracy gap between regions in western and central Europe and the rest of Europe for the period 1790–1880. At the same time, their
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Melhuish, Edward C.; Phan, Mai B.; Sylva, Kathy; Sammons, Pam; Siraj-Blatchford, Iram; Taggart, Brenda (2008). "Effects of the Home Learning Environment and Preschool Center Experience upon Literacy and Numeracy Development in Early Primary School".
471:). Health numeracy also requires understanding terms with definitions that are specific to the medical context. For instance, although 'survival' and 'mortality' are complementary in common usage, these terms are not complementary in medicine (see 478:
Different presentation formats of numerical information, for instance natural frequency icon arrays, have been evaluated to assist both low-numeracy and high-numeracy individuals. Other data formats provide more assistance to low-numeracy people.
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A variety of tests have been developed for assessing numeracy and health numeracy. Different tests have been developed to evaluate health numeracy. Two of these tests that have been found to be "reliable and valid" are the GHNT-21 and GHNT-6.
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Numeracy has a huge impact on employment. In a work environment, numeracy can be a controlling factor affecting career achievements and failures. Many professions require individuals to have well-developed numerical skills: for example,
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reveals that these differences as well as within country inequality decreased over time. Taking a similar approach, Baten and Fourie find overall high levels of numeracy for people in the Cape Colony (late 17th to early 19th century).
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an unexpected number (for example, if there were still two dolls). Some researchers have concluded that the babies were able to count, although others doubt this and claim the infants noticed surface area rather than number.
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There is a theory that innumeracy is more common than illiteracy when dividing cognitive abilities into two separate categories. David C. Geary, a notable cognitive developmental and evolutionary psychologist from the
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understand numerical information, such as required to interpret graphs and charts) and the statistical skills (the ability to apply higher probabilistic and statistical computation, such as conditional probabilities).
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In contrast to these studies comparing numeracy over countries or regions, it is also possible to analyze numeracy within countries. For example, Baten, Crayen and Voth look at the effects of war on numeracy in
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unemployment. For example, carpenters and interior designers need to be able to measure, use fractions, and handle budgets. Another example of numeracy influencing employment was demonstrated at the
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have fun as they improve numeracy with "Number Bingo". They roll three dice, construct an equation from the numbers to produce a new number, then cover that number on the board, trying to get
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Fagerlin, A.; Zikmund-Fisher, B.J.; Ubel, P.A.; Jankovic, A.; Derry, H.A.; Smith, D.M. (2007). "Measuring Numeracy without a Math Test: Development of the Subjective Numeracy Scale".
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Precise representations of distinct items demonstrate that people are more accurate in estimating amounts and distinguishing differences when the numbers are relatively small (see
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Both systems—approximate representation of magnitude and precise representation quantity of individual items—have limited power. For example, neither allows representations of
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Peters, E.; Dieckmann, N.; Våstfjåll, D.; Mertz, C.K.; Slovic, P.; Hibbard, J.H. (2009). "Bringing meaning to numbers: The impact of evaluative categories on decisions".
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Purpura, David; Hume, L.; Sims, D.; Lonigan, C. (2011). "Early literacy and early numeracy: The value of including early literacy skills in the prediction of numeracy".
455:. Health numeracy and health literacy can be thought of as the combination of skills needed for understanding risk and making good choices in health-related behavior. 1576:"'Girl Power' in Eastern Europe? The human capital development of Central-Eastern and Eastern Europe in the seventeenth to nineteenth centuries and its determinants" 358:
These tests first became prevalent during the 1980s, following the pioneering work of psychologists, such as P. Kline, who published a book in 1986 entitled
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an effect on the child's ability to achieve in numeracy. That is, mothers with a high level of education will tend to have children who succeed more in numeracy.
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Humans have evolved to mentally represent numbers in two major ways from observation (not formal math). These representations are often thought to be innate (see
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Baten, Jörg; Fourie, Johan (2015). "Numeracy of Africans, Asians, and Europeans during the early modern period: new evidence from Cape Colony court registers".
140:), to be shared across human cultures, to be common to multiple species, and not to be the result of individual learning or cultural transmission. They are: 1575: 362:, which explained that psychometric testing could provide reliable and objective results, which could be used to assess a candidate's numerical abilities. 2246:
Låg, T.; Bauger, L.; Lindberg, M.; Friborg, O. (2014). "The role of numeracy and intelligence in health-risk estimation and medical data interpretation".
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Schapira, M.M.; Walker, C.M.; Cappaert, K.J.; Ganschow, P.S.; Fletcher, K.E.; McGinley, E.L.; Del Pozo, S.; Schauer, C.; Tarima, S.; Jacobs, E.A. (2012).
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Brooks, M.; Pui, S. (2010). "Are individual differences in numeracy unique from general mental ability? A closer look at a common measure of numeracy".
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Hess, R.; Visschers, V.H.M.; Siegrist, M.; Keller, C. (2011). "How do people perceive graphical risk communication? The role of subjective numeracy".
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Baten, Jörg; Priwitzer, Stefan (2015). "Social and intertemporal differences of basic numeracy in Pannonia (first century BCE to third century CE)".
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Brooks, M.; Pui (2010). "Are individual differences in numeracy unique from general mental ability? A closer look at a common measure of numeracy".
173:. More complex representations require education. However, achievement in school mathematics correlates with an individual's unlearned approximate 3212: 3045: 1182:
Halberda, J.; Mazzocco, M.L.M.M.; Feigenson, L. (2008). "Individual differences in non-verbal number acuity correlate with maths achievement".
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Approximate representations of numerical magnitude imply that one can relatively estimate and comprehend an amount if the number is large (see
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Schwartz, L.M.; Woloshin, S.; Black, W.C.; Welch, H.G. (1997). "The Role of Numeracy in Understanding the Benefit of Screening Mammography".
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exceptions. For example, girls performed significantly better in Singapore, and boys performed significantly better in the United States.
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Peters, E.; Dieckmann, N.; Dixon, A.; Hibbard, J.H.; Mertz, C.K. (2007). "Less is more in presenting quality information to consumers".
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refers to a persistent and specific impairment of basic numerical-arithmetical skills learning in the context of normal intelligence.
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Galesic, M.; Garcia-Retamero, R.; Gigerenzer, G. (2009). "Using icon arrays to communicate medical risks: Overcoming low numeracy".
1759: 1698: 1998: 2035:(2000). "Research on the development of academic skills: Introduction to the special issue on early literacy and early numeracy". 120:, less influence of nonnumerical information such as mood states, and greater sensitivity to different levels of numerical risk. 2122:
Golbeck, AL; Ahlers-Schmidt, CR; Paschal, AM; Dismuke, SE (2005). "A definition and operational framework for health numeracy".
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Welch, H.G.; Schwartz, L.M.; Woloshin, S. (2000). "Are Increasing 5-Year Survival Rates Evidence of Success Against Cancer?".
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Osborn, Chandra Y.; Wallston, Kenneth A.; Shpigel, Adam; Cavanaugh, Kerri; Kripalani, Sunil; Rothman, Russell L. (June 2013).
3431: 3229: 314: 344:, 58% of job applicants interviewed by broadcast news directors lacked an adequate understanding of statistical materials. 3019: 2079:
Donelle, L.; Hoffman-Goetz, L.; Arocha, J.F. (2007). "Assessing health numeracy among community-dwelling older adults".
590: 1363:"The Numeracy Understanding in Medicine Instrument: A Measure of Health Numeracy Developed Using Item Response Theory" 1276:
Lipkus, I.M.; Samsa, G.; Rimer, B.K. (2001). "General Performance on a Numeracy Scale among Highly Educated Samples".
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with the average age of getting married. More precisely, females who entered the marriage later, tend to have greater
117: 3040: 442:, and builds from basic numeracy skills. This could be a potential explanation of the challenge of being numerate. 44: 2513:
Hoffrage, U.; Lindsey, S.; Hertwig, R.; Gigerenzer, G. (2000). "Medicine: Communicating Statistical Information".
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and her colleagues argue that achieving the benefits of numeric literacy, however, may depend on one's numeric
3050: 121: 3350: 3086: 472: 468: 912:"Despite high objective numeracy, lower numeric confidence relates to worse financial and medical outcomes" 3309: 3279: 3224: 3207: 3137: 2906: 864: 431: 3390: 3117: 2951: 2886: 1912:"Patient Numeracy, Perceptions of Provider Communication, and Colorectal Cancer Screening Utilization" 1527:"Patient Numeracy, Perceptions of Provider Communication, and Colorectal Cancer Screening Utilization" 641:"Building on our Competencies: Canadian Results of the International Adult Literacy and Skills Survey" 3304: 3219: 1525:
Ciampa, Philip J.; Osborn, Chandra Y.; Peterson, Neeraja B.; Rothman, Russell L. (13 December 2010).
1191: 1095: 1025: 923: 697: 869: 340:". Unfortunately, it is evident that journalists often show poor numeracy skills. In a study by the 3355: 3294: 3167: 3071: 3014: 3007: 2936: 1084:"Log or Linear? Distinct Intuitions of the Number Scale in Western and Amazonian Indigene Cultures" 585: 137: 495:
at times when there was no data on schooling or other educational measures. Using a method called
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refers to a lack of ability to reason with numbers. The term was coined by cognitive scientist
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Feigenson, Lisa; Dehaene, Stanislas; Spelke, Elizabeth (July 2004). "Core systems of number".
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Peters, E.; Tompkins, M.K.; Knoll, M.; Ardoin, S.P.; Shoots-Reinhard, B.; Meara, A.S. (2019).
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A number of studies have, moreover, proved that the education level of the mother is strongly
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This article is about the ability to apply numerical concepts. For the academic journal, see
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Ewers-Rogers, Jennifer; Cowan, Richard (January 1996). "Children as Apprentices to Number".
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Ciampa, Philip J.; Osborn, Chandra Y.; Peterson, Neeraja B.; Rothman, Russell L. (2010).
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Weller, J.A.; Dieckmann, N.F.; Tusler, M.; Mertz, C.K.; Burns, W.J.; Peters, E. (2013).
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Gigerenzer, G.; Gaissmaier, W.; Kurz-Milcke, E.; Schwartz, L.M.; Woloshin, S. (2007).
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Steen, Lynn Arthur (2001), "Mathematics and Numeracy: Two Literacies, One Language",
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Australian blog post reviewing the increasing importance of teaching numeracy skills
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Nieder, A. (2005). "Counting on neurons: The neurobiology of numerical competence".
998: 647: 3324: 3192: 3096: 3076: 2820: 2794:"Numeracy and the impact of high food prices in industrializing Britain, 1780–1850" 2769: 2648: 1848: 575: 298: 174: 86: 53: 2847: 2526: 2725: 2632: 2335: 2135: 1927: 1542: 3112: 1320: 550: 404: 327: 323: 98: 90: 1827: 1319:
Cokely, E.T.; Galesic, M.; Schulz, E.; Ghazal, S.; Garcia-Retamero, R. (2012).
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Bullock, James O. (October 1994), "Literacy in the Language of Mathematics",
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Agency for Healthcare Research and Quality Health Literacy Measurement tools
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Joerg, Baten; Mikołaj, Szołtysek; Monica, Campestrini (14 December 2016).
1254: 517:, and Baten and Priwitzer find a "military bias" in what is today western 463:, while avoiding errors sometimes associated with Bayesian reasoning (see 3365: 2922: 2812: 2273:
Lipkus, I.M.; Peters, E.; Kimmick, G.; Liotcheva, V.; Marcom, P. (2010).
565: 439: 435: 306: 263: 220: 106: 94: 2430: 1203: 801:"How numeracy influences risk comprehension and medical decision making" 3400: 3395: 3380: 2956: 1780: 1455:"Development and Validation of the General Health Numeracy Test (GHNT)" 518: 514: 294: 2707:"The early regional development of human capital in Europe, 1790–1880" 2675: 2579: 2259: 2048: 878: 816: 268: 72: 1772: 1152: 360:
A handbook of test construction: Introduction to psychometric design
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Ancker, J.S.; Senathirajah, Y.; Kukafka, R.; Starren, J.B. (2006).
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person can manage and respond to the mathematical demands of life.
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Reyna, V.F.; Nelson, W.L.; Han, P.K.; Dieckmann, N.F. (2009).
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Innumeracy in the wild: Misunderstanding and misusing numbers
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Jeremy Kilpatrick; Jane Swafford; Bradford Findell (2001).
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Precise representation of the quantity of individual items.
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Baten, Jörg; Crayen, Dorothee; Voth, Hans-Joachim (2014).
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Innumeracy and risk perception in health decision-making
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Innumeracy: Mathematical Illiteracy and its Consequences
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Journal of the American Medical Informatics Association
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with, and apply simple numerical concepts. The charity
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Izard, V.; Sann, C.; Spelke, E.S.; Streri, A. (2009).
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Approximate representation of numerical magnitude, and
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Dehaene, S.; Izard, V.; Spelke, E.; Pica, P. (2008).
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Garcia-Retamero, R.; Okan, Y.; Cokely, E.T. (2012).
3333: 3105: 3059: 3028: 2975: 2929: 1623: 1621: 1619: 1617: 1615: 1520: 1518: 1516: 1514: 1512: 1510: 1508: 1506: 1321:"Measuring risk literacy: The Berlin Numeracy Test" 1691:Adding + it up: helping children learn mathematics 2190: 2188: 646:. Statistics Canada. p. 209. Archived from 1077: 1075: 1073: 1071: 1069: 1067: 1018:Proceedings of the National Academy of Sciences 916:Proceedings of the National Academy of Sciences 690:Proceedings of the National Academy of Sciences 351:numerical reasoning tests have been created by 37:"Innumeracy" redirects here. For the book, see 2074: 2072: 2070: 2068: 2066: 2027: 2025: 2023: 2021: 2019: 2017: 2015: 2907: 686:"Numerical ability predicts mortgage default" 8: 2201:Psychological Science in the Public Interest 846: 844: 664: 662: 660: 64:Number bingo improves math skills. LPB Laos. 2664:Journal of Experimental Psychology: Applied 2037:Canadian Journal of Experimental Psychology 1014:"Newborn infants perceive abstract numbers" 794: 792: 790: 788: 743:Banks, J.; O'Dea, C.; Oldfield, Z. (2010). 684:Gerardi, K.; Goette, L.; Meier, S. (2013). 2914: 2900: 2892: 451:numeracy is a component of the concept of 2768: 2587: 2534: 2489: 2479: 2438: 2381: 2298: 2222: 2212: 1935: 1550: 1486: 1386: 1115: 1047: 1037: 945: 935: 886: 868: 824: 768: 719: 709: 262:There seems to be a relationship between 1815:Journal of Experimental Child Psychology 1247:10.7326/0003-4819-127-11-199712010-00003 3046:National Council of Teachers of English 2124:American Journal of Preventive Medicine 612: 240:Along with parenting and SES, a strong 857:Journal of Behavioral Decision Making 7: 2836:Scandinavian Economic History Review 2714:Scandinavian Economic History Review 313:. This is why a major target of the 1583:European Review of Economic History 491:, numeracy is often used to assess 342:Society of Professional Journalists 27:Ability to apply numerical concepts 3036:International Literacy Association 2983:List of countries by literacy rate 2801:Review of Economics and Statistics 2705:Baten, Jörg; Hippe, Ralph (2012). 2621:Medical Care Research & Review 25: 1760:The American Mathematical Monthly 2214:10.1111/j.1539-6053.2008.00033.x 1974:10.1111/j.1540-4560.2008.00550.x 1724:Early Child Development and Care 1643:10.1111/j.1540-4560.2008.00550.x 1459:Patient Education and Counseling 761:10.1111/j.1468-0297.2010.02395.x 89:, operation sense, computation, 2081:Journal of Health Communication 1916:Journal of Health Communication 1869:Individual Differences Research 1531:Journal of Health Communication 622:Individual Differences Research 186:compare numerical magnitudes). 128:or confidence in one's skills. 3213:Occupational Safety and Health 2589:11858/00-001M-0000-0024-F6BE-3 2536:11858/00-001M-0000-0025-9B18-3 2383:11858/00-001M-0000-0024-F299-8 2224:11858/00-001M-0000-0025-7CFC-A 315:Sustainable Development Goal 4 71:is the ability to understand, 1: 2877:CDC Health Literacy Resources 2848:10.1080/03585522.2015.1032339 2527:10.1126/science.290.5500.2261 1891:Global Campaign For Education 499:, researchers like Professor 330:, former executive editor of 2726:10.1080/03585522.2012.727763 2633:10.1177/10775587070640020301 2468:The Scientific World Journal 2336:10.1080/13669877.2010.488745 2136:10.1016/j.amepre.2005.06.012 1928:10.1080/10810730.2010.522699 1543:10.1080/10810730.2010.522699 1328:Judgment and Decision Making 971:Trends in Cognitive Sciences 591:Numerosity adaptation effect 2749:The Economic History Review 1235:Annals of Internal Medicine 1141:Nature Reviews Neuroscience 245:to face school activities. 3453: 3041:International Literacy Day 2248:Behavioral Decision Making 1828:10.1016/j.jecp.2011.07.004 1693:. National Academy Press. 1290:10.1177/0272989X0102100105 983:10.1016/j.tics.2004.05.002 673:. Oxford University Press. 366:Innumeracy and dyscalculia 353:occupational psychologists 347:To assess job applicants, 181:Definitions and assessment 36: 29: 2093:10.1080/10810730701619919 1471:10.1016/j.pec.2013.01.001 1340:10.1017/S1930297500001819 571:National Numeracy Network 541:Approximate number system 378:, coined by analogy with 236:Home-learning environment 153:Approximate number system 132:Representation of numbers 3051:No Child Left Behind Act 2872:The Berlin Numeracy Test 2374:10.1177/0272989X10373805 2324:Journal of Risk Research 2291:10.1177/0272989X09360371 2171:10.1001/jama.283.22.2975 1962:Journal of Social Issues 1795:The Mathematics Educator 1736:10.1080/0300443961250102 1631:Journal of Social Issues 1424:10.1177/0272989X07304449 1379:10.1177/0272989X12447239 411:Patterns and differences 2770:10.1111/1468-0289.12064 2761:10.1111/1468-0289.12064 2362:Medical Decision Making 2279:Medical Decision Making 1994:Scanlan, Chip (2004). " 1664:Hughes, Martin (1986). 1412:Medical Decision Making 1367:Medical Decision Making 1278:Medical Decision Making 1108:10.1126/science.1156540 1039:10.1073/pnas.0812142106 937:10.1073/pnas.1903126116 711:10.1073/pnas.1220568110 473:five-year survival rate 469:Conservatism (Bayesian) 3225:Information literacies 805:Psychological Bulletin 669:Peters, Ellen (2020). 432:University of Missouri 65: 57: 3432:Mathematics education 3391:Post-literate society 3351:Children's literature 3230:Information and media 2952:Functional illiteracy 483:Evolution of numeracy 63: 47: 18:Mathematical literacy 2813:10.1162/REST_a_00403 2009:, September 8, 2004. 1922:(Suppl 3): 157–168. 1608:on 28 February 2019. 749:The Economic Journal 207:Socioeconomic status 198:Childhood influences 3356:Composition studies 3072:Ruth Johnson Colvin 2937:Adolescent literacy 2521:(5500): 2261–2262. 2481:10.1100/2012/562637 2431:10.1197/jamia.M2115 1887:"SDG4's 10 targets" 1668:. Wiley-Blackwell. 1666:Children and Number 1591:10.1093/ereh/hew017 1204:10.1038/nature07246 1196:2008Natur.455..665H 1100:2008Sci...320.1217D 1094:(5880): 1217–1220. 1030:2009PNAS..10610382I 1024:(25): 10382–10385. 928:2019PNAS..11619386P 922:(39): 19386–19391. 702:2013PNAS..11011267G 696:(28): 11267–11271. 639:Statistics Canada. 586:Numerical cognition 138:Numerical cognition 2001:2009-01-14 at the 755:(548): F381–F410. 546:Bayesian inference 461:Bayesian inference 388:Douglas Hofstadter 333:The New York Times 66: 58: 32:Numeracy (journal) 3414: 3413: 3376:Media consumption 2942:Emergent literacy 2568:Health Psychology 2165:(22): 2975–2978. 1675:978-0-631-13581-4 1537:(sup3): 157–168. 1190:(7213): 665–668. 465:Base rate fallacy 392:John Allen Paulos 320:Poynter Institute 303:financial analyst 77:National Numeracy 39:Innumeracy (book) 16:(Redirected from 3444: 2916: 2909: 2902: 2893: 2860: 2859: 2831: 2825: 2824: 2798: 2789: 2783: 2782: 2772: 2744: 2738: 2737: 2711: 2702: 2696: 2695: 2676:10.1037/a0016978 2659: 2653: 2652: 2616: 2610: 2609: 2591: 2580:10.1037/a0014474 2563: 2557: 2556: 2538: 2510: 2504: 2503: 2493: 2483: 2459: 2453: 2452: 2442: 2410: 2404: 2403: 2385: 2354: 2348: 2347: 2319: 2313: 2312: 2302: 2270: 2264: 2263: 2260:10.1002/bdm.1788 2243: 2237: 2236: 2226: 2216: 2192: 2183: 2182: 2154: 2148: 2147: 2119: 2113: 2112: 2076: 2061: 2060: 2049:10.1037/h0088185 2033:Lefevre, Jo-Anne 2029: 2010: 1996:Why Math Matters 1992: 1986: 1985: 1956: 1950: 1949: 1939: 1907: 1901: 1900: 1898: 1897: 1883: 1877: 1876: 1864: 1851: 1846: 1840: 1839: 1809: 1803: 1802: 1790: 1784: 1783: 1754: 1748: 1747: 1719: 1713: 1712: 1686: 1680: 1679: 1661: 1655: 1654: 1625: 1610: 1609: 1607: 1601:. Archived from 1580: 1571: 1565: 1564: 1554: 1522: 1501: 1500: 1490: 1450: 1444: 1443: 1407: 1401: 1400: 1390: 1358: 1352: 1351: 1325: 1316: 1310: 1309: 1273: 1267: 1266: 1230: 1224: 1223: 1179: 1173: 1172: 1136: 1130: 1129: 1119: 1079: 1062: 1061: 1051: 1041: 1009: 1003: 1002: 966: 960: 959: 949: 939: 907: 901: 900: 890: 879:10.1002/bdm.1751 872: 848: 839: 838: 828: 817:10.1037/a0017327 796: 783: 782: 772: 740: 734: 733: 723: 713: 681: 675: 674: 666: 655: 654: 652: 645: 636: 630: 629: 617: 489:economic history 487:In the field of 171:negative numbers 105:. A numerically 21: 3452: 3451: 3447: 3446: 3445: 3443: 3442: 3441: 3417: 3416: 3415: 3410: 3386:Oral literature 3329: 3245:Multiliteracies 3101: 3055: 3024: 2971: 2947:Family literacy 2925: 2920: 2868: 2863: 2833: 2832: 2828: 2796: 2791: 2790: 2786: 2746: 2745: 2741: 2709: 2704: 2703: 2699: 2661: 2660: 2656: 2618: 2617: 2613: 2565: 2564: 2560: 2512: 2511: 2507: 2461: 2460: 2456: 2412: 2411: 2407: 2356: 2355: 2351: 2321: 2320: 2316: 2272: 2271: 2267: 2245: 2244: 2240: 2194: 2193: 2186: 2156: 2155: 2151: 2121: 2120: 2116: 2078: 2077: 2064: 2031: 2030: 2013: 2003:Wayback Machine 1993: 1989: 1958: 1957: 1953: 1909: 1908: 1904: 1895: 1893: 1885: 1884: 1880: 1866: 1865: 1854: 1849:Numbers in Mind 1847: 1843: 1811: 1810: 1806: 1792: 1791: 1787: 1773:10.2307/2974528 1756: 1755: 1751: 1721: 1720: 1716: 1701: 1688: 1687: 1683: 1676: 1663: 1662: 1658: 1627: 1626: 1613: 1605: 1578: 1573: 1572: 1568: 1524: 1523: 1504: 1452: 1451: 1447: 1409: 1408: 1404: 1360: 1359: 1355: 1323: 1318: 1317: 1313: 1275: 1274: 1270: 1241:(11): 966–972. 1232: 1231: 1227: 1181: 1180: 1176: 1153:10.1038/nrn1626 1138: 1137: 1133: 1081: 1080: 1065: 1011: 1010: 1006: 968: 967: 963: 909: 908: 904: 870:10.1.1.678.6236 850: 849: 842: 798: 797: 786: 742: 741: 737: 683: 682: 678: 668: 667: 658: 650: 643: 638: 637: 633: 619: 618: 614: 610: 605: 561:Health literacy 531: 485: 453:health literacy 448: 427: 413: 368: 278: 267:five-month-old 260: 251: 238: 229: 209: 200: 183: 134: 118:framing effects 42: 35: 28: 23: 22: 15: 12: 11: 5: 3450: 3448: 3440: 3439: 3434: 3429: 3419: 3418: 3412: 3411: 3409: 3408: 3406:Writing system 3403: 3398: 3393: 3388: 3383: 3378: 3373: 3368: 3363: 3358: 3353: 3348: 3346:Asemic writing 3343: 3337: 3335: 3331: 3330: 3328: 3327: 3322: 3317: 3312: 3307: 3302: 3297: 3292: 3287: 3282: 3277: 3272: 3267: 3262: 3257: 3252: 3247: 3242: 3237: 3232: 3227: 3222: 3217: 3216: 3215: 3210: 3200: 3195: 3190: 3185: 3180: 3175: 3170: 3165: 3160: 3155: 3150: 3145: 3140: 3135: 3130: 3125: 3120: 3115: 3109: 3107: 3103: 3102: 3100: 3099: 3094: 3089: 3087:Griffith Jones 3084: 3082:James Paul Gee 3079: 3074: 3069: 3063: 3061: 3057: 3056: 3054: 3053: 3048: 3043: 3038: 3032: 3030: 3026: 3025: 3023: 3022: 3017: 3012: 3011: 3010: 3002: 3001: 3000: 2990: 2985: 2979: 2977: 2973: 2972: 2970: 2969: 2967:Whole language 2964: 2959: 2954: 2949: 2944: 2939: 2933: 2931: 2927: 2926: 2921: 2919: 2918: 2911: 2904: 2896: 2890: 2889: 2884: 2879: 2874: 2867: 2866:External links 2864: 2862: 2861: 2842:(2): 110–134. 2826: 2807:(3): 418–430. 2784: 2755:(2): 632–656. 2739: 2720:(3): 254–289. 2697: 2670:(3): 213–227. 2654: 2627:(2): 169–190. 2611: 2574:(2): 210–216. 2558: 2505: 2454: 2425:(6): 608–618. 2405: 2368:(3): 444–457. 2349: 2314: 2285:(4): 464–473. 2265: 2238: 2184: 2149: 2130:(4): 375–376. 2114: 2087:(7): 651–665. 2062: 2011: 2007:Poynter Online 1987: 1951: 1902: 1878: 1852: 1841: 1822:(4): 647–658. 1804: 1785: 1767:(8): 735–743, 1749: 1714: 1699: 1681: 1674: 1656: 1611: 1566: 1502: 1465:(3): 350–356. 1445: 1418:(5): 672–680. 1402: 1373:(6): 851–865. 1353: 1311: 1268: 1225: 1174: 1147:(3): 177–190. 1131: 1063: 1004: 977:(7): 307–314. 961: 902: 863:(2): 198–212. 840: 811:(6): 943–973. 784: 735: 676: 656: 653:on 2011-09-27. 631: 611: 609: 606: 604: 603: 598: 593: 588: 583: 578: 573: 568: 563: 558: 553: 548: 543: 538: 532: 530: 527: 484: 481: 447: 444: 426: 423: 412: 409: 403:Developmental 367: 364: 277: 274: 259: 256: 250: 247: 237: 234: 228: 225: 208: 205: 199: 196: 182: 179: 149: 148: 145: 133: 130: 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 3449: 3438: 3435: 3433: 3430: 3428: 3425: 3424: 3422: 3407: 3404: 3402: 3399: 3397: 3394: 3392: 3389: 3387: 3384: 3382: 3379: 3377: 3374: 3372: 3371:Literacy test 3369: 3367: 3364: 3362: 3361:Dick and Jane 3359: 3357: 3354: 3352: 3349: 3347: 3344: 3342: 3339: 3338: 3336: 3332: 3326: 3323: 3321: 3318: 3316: 3315:Transliteracy 3313: 3311: 3310:Technological 3308: 3306: 3303: 3301: 3298: 3296: 3293: 3291: 3288: 3286: 3283: 3281: 3280:Psychological 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746: 739: 736: 731: 727: 722: 717: 712: 707: 703: 699: 695: 691: 687: 680: 677: 672: 665: 663: 661: 657: 649: 642: 635: 632: 627: 623: 616: 613: 607: 602: 599: 597: 594: 592: 589: 587: 584: 582: 581:Numeracy bias 579: 577: 574: 572: 569: 567: 564: 562: 559: 557: 554: 552: 549: 547: 544: 542: 539: 537: 534: 533: 528: 526: 524: 520: 516: 510: 507: 506:data analysis 502: 498: 494: 493:human capital 490: 482: 480: 476: 474: 470: 466: 462: 456: 454: 445: 443: 441: 437: 433: 424: 422: 419: 410: 408: 406: 401: 399: 398: 393: 389: 385: 381: 377: 373: 365: 363: 361: 356: 354: 350: 345: 343: 339: 335: 334: 329: 325: 321: 316: 312: 308: 304: 300: 296: 292: 288: 284: 283:mathematician 275: 273: 270: 265: 257: 255: 248: 246: 243: 242:home-learning 235: 233: 226: 224: 222: 218: 213: 206: 204: 197: 195: 191: 187: 180: 178: 176: 172: 168: 163: 161: 156: 154: 146: 143: 142: 141: 139: 131: 129: 127: 126:self-efficacy 123: 119: 115: 112:By contrast, 110: 108: 104: 100: 96: 92: 88: 83: 78: 74: 70: 62: 55: 54:four in a row 51: 46: 40: 33: 19: 3254: 3193:Geo-literacy 3118:Agricultural 3097:Brian Street 3077:Paulo Freire 3029:Institutions 3004:New Zealand 2839: 2835: 2829: 2804: 2800: 2787: 2752: 2748: 2742: 2717: 2713: 2700: 2667: 2663: 2657: 2624: 2620: 2614: 2571: 2567: 2561: 2518: 2514: 2508: 2471: 2467: 2457: 2422: 2418: 2408: 2365: 2361: 2352: 2327: 2323: 2317: 2282: 2278: 2268: 2251: 2247: 2241: 2207:(2): 53–96. 2204: 2200: 2162: 2158: 2152: 2127: 2123: 2117: 2084: 2080: 2043:(2): 57–60. 2040: 2036: 2006: 1990: 1965: 1961: 1954: 1919: 1915: 1905: 1894:. Retrieved 1890: 1881: 1872: 1868: 1844: 1819: 1813: 1807: 1798: 1794: 1788: 1764: 1758: 1752: 1730:(1): 15–25. 1727: 1723: 1717: 1690: 1684: 1665: 1659: 1634: 1630: 1603:the original 1582: 1569: 1534: 1530: 1462: 1458: 1448: 1415: 1411: 1405: 1370: 1366: 1356: 1334:(1): 25–47. 1331: 1327: 1314: 1284:(1): 37–44. 1281: 1277: 1271: 1238: 1234: 1228: 1187: 1183: 1177: 1144: 1140: 1134: 1091: 1087: 1021: 1017: 1007: 974: 970: 964: 919: 915: 905: 860: 856: 808: 804: 752: 748: 738: 693: 689: 679: 670: 648:the original 634: 625: 621: 615: 576:Number sense 511: 486: 477: 457: 449: 428: 414: 402: 395: 394:in his book 383: 371: 369: 359: 357: 349:psychometric 346: 331: 299:Risk Analyst 279: 261: 252: 239: 230: 214: 210: 201: 192: 188: 184: 175:number sense 164: 157: 150: 135: 122:Ellen Peters 113: 111: 87:number sense 82:arithmetical 68: 67: 48:Children in 3305:Statistical 3220:Information 3106:Other types 2358:Galesic, M. 551:Dyscalculia 497:age-heaping 405:dyscalculia 328:Max Frankel 324:journalists 99:probability 91:measurement 3421:Categories 3295:Scientific 3168:Ecological 3067:Marie Clay 1896:2020-09-22 1875:: 257–265. 1801:(1): 10–16 628:: 257–265. 601:Subitizing 556:Graphicacy 501:Jörg Baten 384:Innumeracy 380:illiteracy 372:innumeracy 291:accountant 276:Employment 217:correlated 160:Subitizing 114:innumeracy 103:statistics 3437:Knowledge 3341:Aliteracy 3290:Religious 3188:Financial 3178:Emotional 3173:Electracy 2976:Locations 2734:154669586 2344:146594087 2330:: 47–61. 1744:0300-4430 1709:248386156 1479:0738-3991 865:CiteSeerX 536:Acalculia 418:Singapore 376:neologism 370:The term 311:architect 287:physicist 227:Parenting 203:and age. 167:fractions 3427:Literacy 3366:Dyslexia 3275:Physical 3255:Numeracy 3163:Diaspora 3148:Cultural 3143:Critical 3133:Computer 2930:Learning 2923:Literacy 2856:51962193 2779:51961313 2692:11035873 2684:19751072 2641:17406019 2606:10545246 2598:19290713 2553:33050943 2545:11188724 2500:22629146 2474:: 1–10. 2449:16929039 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Index

Mathematical literacy
Numeracy (journal)
Innumeracy (book)

Laos
four in a row

reason
National Numeracy
arithmetical
number sense
measurement
geometry
probability
statistics
literate
framing effects
Ellen Peters
self-efficacy
Numerical cognition
Approximate number system
Subitizing
fractions
negative numbers
number sense
correlated
autonomy
home-learning
literacy
infants

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