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Music could be a challenger for mathematics and a potential candidate for the title “The Universal Language.” This paper aims to discuss the primary objectives of engaging with music, including the therapeutic benefits. Similarities, between mathematics and music and how studying one might enhance one’s abilities of the other are pointed out.

A formal definition for a universal language is given. A qualitative approach, supplemented with rigorous reasoning, is adopted. The narrative relies on the author’s experiences, teaching mathematical concepts and musical interactions, with students from several countries. A vast amount of literature is reviewed and the corresponding findings are connected toward the arguments made.

The paper demonstrates that one day, once we understand both mathematics and music better, we might see both of them as the same language. Until then, it is essential to supplement mathematics with music. The educational implications, for all fields, are to ensure that the future creators of knowledge are equally adept at both music and mathematics. The wider policy connotations are to create a blueprint for a society with a vibrant musical and artistic environment.

This study illuminates new ways of thinking about music and mathematics. The possibility that many seemingly complex entities (including our universe, virtual computer worlds, mathematical operations, etc.), are made up of combinations of much simpler building blocks is hinted at. Familiarity with any intricate element of life, without getting flustered, is bound to produce remarkable results in other such endeavors.

The purpose of this paper is to investigate what might be relevant to younger children’s understanding of a number line and how teaching can be designed according to variation theory to give pupils the opportunity to develop an understanding of the number line as a tool for mathematical thinking.

A Learning Study was conducted by mathematics teachers at Sjöstadsskolan in Stockholm. Variation theory was used as a theory of learning. In order to use the number line as a tool in mathematical thinking, pupils have to discern what is important for this form of representation of the numeral system. Critical aspects from other studies with similar learning objects have been taken into consideration for pre-test design. These aspects supplemented and enhanced the analysis of the results and the results were consistent with earlier learning studies’.

Four critical features, for younger pupils’ understanding of how the number line can be constructed, have been established in the study: the number line can have a different range (e.g. 0-20 or 30-60), correlation between the distance and value, two reference points are needed to place a third number and determine the scale, and the correlation between a part and whole.

Learning Study is emphasized as a powerful and structured model for teacher driven research aiming to develop the praxis. The use of experiences and results from other studies is recommended.

Technical librarians scarcely need to be reminded of the growing crisis in the field of chemical literature—the problem of efficiently retrieving facts about chemicals from the 1,200,000 technical and scientific articles that have been abstracted during the past fifty years, and the problem of finding sufficient shelf space for the rapidly increasing weekly and monthly additions in the 5,236 periodicals that are recognized as references by the chemical societies.

One of the most formidable problems in developing a satisfactory universal classification is the restriction imposed by standard forms of notation. The principal classification systems, Dewey, Universal Decimal, Library of Congress, Bliss, and even Colon, have been seriously inhibited by their notations. In all except Dewey, an attempt has been made to surmount this difficulty by such devices as special arbitrary symbols, decimals necessitating a four‐line call number, Greek letters, or positional mixed notation. In none of the classifications, however, has it proved possible to add new major classes, on a par with the original ones, because of the fundamental limitations in the primary notation.

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.

Two ideal types of data can be distinguished in housing research: structured and less-structured data. Questionnaires and official statistics are examples of structured data, while less-structured data arise for instance from open interviews and documents. Structured data are sometimes labelled quantitative, while less-structured data are called qualitative. In this paper structured and less-structured data are considered from the perspective of measurement and analysis. Structured data arise when the researcher has an a priori category system or measurement scale available for collecting the data. When such an a priori system or scale is not available the data are called less-structured. It will be argued that these less-structured observations can only be used for any further analysis when they contain some minimum level of structure called a category system, which is equivalent to a nominal measurement scale. Once this becomes evident, one realizes that through the necessary process of categorization less-structured data can be analyzed in much the same way as structured data, and that the difference between the two types of data is one of degree and not of kind. In the second part of the paper these ideas are illustrated with examples from my own research on the meaning of preferences for dwelling features in which the concept of a meaning structure plays a central part. Until now these meaning structures have been determined by means of semi-structured interviews which, even with small samples, result in large amounts of less-structured data.

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.

The purpose of this paper is to investigate accounting as first visible-sign statement form, and also as the first writing, and analyse its systematic differences, syntactic and semantic, from subsequent speech-following (glottographic) writing forms. The authors consider how accounting as non-glottographic (and so “unspeakable”) writing form renders “glottography” a “subsystem of writing” (Hyman, 2006), while initiating a mode of veridiction which always and only names and counts, silently and synoptically. The authors also consider the translation of this statement form into the graphs, charts, equations, etc., which are central to the making of modern scientific truth claims, and to remaking the boundaries of “languaging” and translatability.

As a historical–theoretical study, this draws on work reconceptualising writing vs speech (e.g. Harris, 1986; 2000), the statement vs the word (e.g. Foucault, 1972/2002) and the parameters of translation (e.g. Littau, 2016) to re-think the conceptual significance of accounting as constitutive of our “literate modes” of thinking, acting and “languaging in general”.

Specific reflections are offered on how the accounting statement, as mathematically regularised naming of what “ought” to be counted, is then evaluated against what is counted, thus generating a first discourse of the norm and a first accounting-based apparatus for governing the state. The authors analyse how the non-glottographic statement is constructed and read not as linear flow of signs but as simulacrum; and on how the accounting statement poses both the practical issue of how to translate non-linear flow statements, and the conceptual problem of how to think this statement form’s general translatability, given its irreducibility to the linear narrative statement form.

The paper pioneers in approaching accounting as statement form in a way that analyses the differences that flow from its non-glottographic status.

Edmund Burke, the 18th century Irish orator said … ‘those who propose change should work hard to persuade a rational man that innovations or reforms would not end in damage or absurdity’.

The purpose of this paper is to present a process, as a proof-of-concept, that automates the tracking of updates to name authority records (NARs), the downloading of revised NARs into local catalog system, and subsequent bibliographic file maintenance (BFM), in response to the programmatic manipulation of the Library of Congress Name Authority File (LCNAF).

A proof-of-concept process to automate NAR updates and BFM in local catalog, using OCLC LCNAF SRU Service, MARCEdit, XSLT, and AutoIt, is built and subsequently tested using data from both test and production catalog servers at Michigan State University Libraries.

The proof-of-concept process tested is proved to be successful in general though scalability and diacritics issues have to be addressed before it can become fully operational in a production environment.

This process enables libraries, especially those without third-party authority control service, to handle the phased reissuance of LCNAF and related BFM in an automatic fashion with minimal human intervention.