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This chapter reviews research on math disabilities (MD) from two different points of view: Italian and American. Our goal is to gain consensus on identifying the cognitive deficits that underlie problems associated with MD as well as to provide an overview of some of the instructional approaches to remediate these deficits. The review outlines similarities and differences in the research perspectives between the two countries. Although the results show some consensus on the identification of MD and the cognitive mechanisms associated with this deficit (e.g., working memory), some differences remain between the two research perspectives (e.g., incidence of MD).

This study synthesizes some preliminary observations made by the clinicians of the Audiology and Phoniatrics Department of Padua-Treviso University on the development of numerical intelligence in deaf children who received cochlear implantation at an early age. This study collected data from clinical observation and standardized instruments, such as Leiter-R and PRCR-Numeri, on a group of 11 preschool deaf children. These data were then compared with those obtained from language performances and audiometric examinations. It is generally recognized that a normal cognitive profile corresponds to scaled scores between 85 and 122. Specifically, the Numerical Intelligence competence is lower in deaf children than in normally hearing children. In particular, the most obvious difference is in the “number comparison” performance, which involves mental operations. In our study, we observed a meaningful connection between Intelligence Quotient (IQ) and the Fluid Reasoning (Fr) score, that is, the ability to solve non-verbal problems independent of previous learning. These results appear to demonstrate a pronounced connectivity of the subcomponents which, taken together, produce visual-spatial functionality.

Italian epidemiological data reveal a large discrepancy between the incidence of learning disabilities in mathematics and simple difficulties in mathematics. The incidence of dyscalculia (specific learning disability in mathematics) is about 2%, whereas the incidence of students with difficulties in arithmetic is surprisingly greater, estimated by teachers to be about five students out of 25 (that is, 20%). This unexpectedly high number of students with difficulties invites serious consideration of its cause and remedy. In this chapter, we try to answer to these questions in the light of two educational studies aimed at improving calculation abilities and the outcome of an intervention with three single cases with dyscalculia using the model and the materials of an innovative arithmetical curriculum. The results suggest that for most children, their arithmetic difficulties are simple consequences of their math instruction, which may be remediated by integrating traditional math curricula with information derived from the research on the cognitive arithmetical architecture and its development. There are also implications that even the arithmetical difficulties of dyscalculic children may be improved with special training focused on their specific impairments revealed after a detailed assessment.

This investigation was intended to examine the relationship among perceived competence, anxiety, and mathematical and verbal achievement in a population of male and female Italian middle school students. One hundred and eighty students were administered measures of trait anxiety, and measures of state anxiety were administered immediately prior to administering achievement tests in math and literature. In addition, students were administered six subscales of a perceived competence scale. Analyses of these data yielded a moderate negative correlation between mathematics achievement and state anxiety for the math test, and a descriptively smaller negative correlation between the literature scores and state anxiety for the literature test. Significant correlations were also observed between achievement and perceived competence for academic ability. The two state anxiety measures were found to be highly correlated; however, trait anxiety was not statistically related to academic achievement in either math or literature. A moderate negative correlation was observed between perceived competence for academic ability and state anxiety for math and a somewhat lower correlation between perceived competence for academic ability and literature achievement. Males scored higher than females on the test of trait anxiety; however, females and males did not differ on any other anxiety or academic measures, including perceived competence for academic ability, math achievement, or literature achievement. Implications for future research are discussed.

In the literature there is limited research on the interaction of language and arithmetic performance of deaf students, although previous studies have demonstrated that many of these students are delayed in both their language acquisition and arithmetic performance. The focus of the first part of this work is a brief review of the literature on acquisition of learning abilities in prelingually deaf children with hearing aids and cochlear implants. Children who experience severe to profound deafness early in their life have a better prognosis for normal literacy development than ever before. In fact, the restoration of the auditory threshold allows children to achieve language and learning abilities like normally hearing children. In the second part we describe our initial experiences in the field. We discuss some preliminary results of an investigation of the longitudinal development of cognitive abilities related to numerical cognition in hearing-impaired children who have had a hearing aid or a cochlear implant at a young age. Specifically, we analyse the development of numerical abilities related to verbal abilities (such as those implied in counting tasks), reading and writing numbers, and analogical numerical abilities (such as those based on quantity recognition as in number comparison and number seriation).