Musikaliska möten man minns : om musikundervisningen i årskurserna sju till nio som en arena för starka musikpplevelser

Earlier research has shown that strong experiences related to music (SEM) can occur in very different contexts and take on many different forms. Experiences like these seem significant and have among other things reportedly had an affect on the individual's continuing relationship towards music, which makes them interesting from a pedagogical point of view. Formal teaching situations, though, are under-represented in studies where people have been asked to describe strong experiences that they have had in connection with music. The purpose of my thesis is to investigate what SEM may mean to pupils and teachers in lower secondary school (grades 7-9), and to inquire more deeply into the potential "space" for such experiences within school music education. On a comprehensive level my ambition is to deepen the understanding for SEM as a possible element in pedagogical situations. Three empirical perspectives are employed: pupil-, teacher- and curriculum perspectives. The pupil perspective involved an analysis of written accounts of 166 fifteen-year-olds, describing own strong experiences. The teacher perspective involved studying 28 music teachers' conceptions of the purpose of teaching music in school as well as their understanding about strong music experiences in school context. Further, the teachers' descriptions of SEM that they have had themselves were analysed. The curriculum perspective is reflected through a study of how music experience was represented in 24 local and 2 national curriculum texts for music. Grounded in a phenomenological-hermeneutical perspective the material have been analyzed both qualitatively and quantitatively. The result points towards the fact that the music education in school has the potential to become an arena for SEM and that this can happen in relation to a multitude of activities and genres and take on many different expressions. Only one pupil referred to a musical encounter in the classroom environment; all other experiences that occurred inside the frame of school activity had taken place in other arenas (the school hall, public concert halls, and so on). However, more than 98 % of the descriptions concerned musical encounters in leisure time contexts. The significance of SEM is further clarified by narrative constructions. SEM as a conception does not occur on the curriculum level; however the analyze revealed a number of interesting "openings" which are illustrated. Even though all teachers displayed a fundamentally positive attitude towards the idea of regarding SEM as a feature of formal musical learning, it became clear that many teachers never had approached this theme from a pedagogical point of view before. Still, they proved to have an evident "familiarity" towards the phenomenon based on their own experiences of receptive and performative musical encounter. The possible space for strong musical experiences within school music education is specified through a detailed illustration of six specific themes derived from the reasoning of the teachers. Furthermore, this is described through a mapping of the potential experiencing zone, constructed from the teachers descriptions of educational aims.

The dawn of paraconsistency: Russia's logical thought in the turn of XX century

The paper deals with the factors which enabled N. A. Vasiliev to put forward in 1910 - 12 the idea of logics free of the laws of contradiction and excluded middle, the idea of metalogic and to construct his imaginary logic as novel non-classical system. It is shown that background of Vasiliev's ideas lies deeply in Russia's culture and particular approach to logical discourse. Several Russian scholars expressed ideas similar to Vasiliev's though not in such explicit form. This period might be called the prehistory of paraconsistency. Real history of paraconsistency starts with N.C.A. da Costa's works.

Knowledge modeling for innovative companies: case of business incubator

The paper presents a study which is aimed at building a knowledge model for a case company – business incubator “Ingria” (St. Petersburg, Russia). The business incubator is one of its kind organization in St. Petersburg, and one of the few in Russia, providing services for innovative entrepreneurial companies at an international level. Business incubation impact is deeply researched from the point of view of knowledge engineering. The paper also provides a broad analysis of various knowledge engineering tools used for visualization of knowledge, as well as knowledge modeling techniques.

Sahan ohjausjärjestelmä myynti- ja toimitusketjun apuvälineenä sahan kannattavuuden kehittämisessä

Diplomityössä tarkasteltiin sahalaitokselle investoidun tuotannon ohjausjärjestelmän toimivuutta ja käytettävyyttä. Tutkimuksessa vertailtiin aikaisemmin suunnittelun apuna toimineita järjestelmiä uuteen ohjausjärjestelmään. Tavoitteena oli selvittää onko uuden järjestelmän sisäänajo onnistunut niin, että se tuottaisi oikeaa tietoa sahausprosessista. Tutkimuksessa tarkasteltiin myös kuinka sahan uutta ohjausjärjestelmää voitaisiin hyödyntää yrityksen myynti- ja toimitusketjun kannalta parhaiten ja huomioiden erityisesti kannattavuuslaskennallinen näkökulma. Lisäksi pohdittiin integraatiomahdollisuuksia yrityksessä käytössä oleviin muihin suunnittelujärjestelmiin. Tutkimuksen taustalla on sahateollisuuden entisestäänkin kiristynyt tilanne ja toisaalta tarve tulevaisuuden suunnitelmallisuuden parantamiseen. Kilpailussa mukana pysyminen edellyttää sahausprosessista saatavan tietomäärän keräämistä, tallentamista ja ennen kaikkea tiedon parempaa hyväksikäyttöä. Tutkimuksen kohteena ollut sahalaitos vastasi tulevaisuuden tiukentuneisiin olosuhteisiin investoimalla uuteen ohjausjärjestelmään ja uskoi siitä saatavan hyödyn auttavan heitä parantamaan sekä yksittäisten tuotteiden että koko tuotevalikoiman kannattavuutta. Ohjausjärjestelmän toivottiin tuovan todenmukaisempaa ja monipuolisempaa tietoa yrityksen suunnittelutyölle. Sahalaitoksen kannattavuuden parempi seuraaminen ja tuotevalikoiman sekä suunnittelun parempi kohdentaminen helpottuu sähköisen ohjausjärjestelmän avulla huomattavasti. Ohjausjärjestelmän kautta kannattavuuden tunnusluvut saadaan nopeammin myynti- ja toimitusketjun tietoon, poikkeamiin pystytään puuttumaan ajoissa ja yleinen tietoisuus sahausprosessista paranee. Ohjausjärjestelmän avulla mahdollistetaan entistä joustavampi koesahaus ja reklamaatioeriin porautuminen onnistuu niin ikään vaivattomammin. Yksi hyödyllinen integraatiomahdollisuus olisi SAP:n ja uuden ohjausjärjestelmän yhdistäminen, jossa hinta- ja reklamaatiotieto saataisiin yhteneväksi. Kun ohjausjärjestelmä saadaan varmuudella tuottamaan oikeaa tietoa sahausprosessista, on siitä saatava hyöty myynti- ja toimitusketjulle todellinen. Kalliin raaka-aineen entistä tehokkaampi hyödyntäminen, tuotepaletin suunnittelu ja myynnin kohdentaminen kannattavimpiin tuotteisiin, ovat tärkeä osa niitä asioita joihin järjestelmä tuo helpotusta. Tulevaisuudessa ohjausjärjestelmän jatkokehitykseen tulisi kiinnittää erityistä huomiota, jotta voitaisiin taata asiakaslähtöisyys ja kannattava tuoterakenne osana menestyksekästä liiketoimintaa.

Sähköverkkojen käytöntuki- ja käytönvalvontajärjestelmien käyttöönotto

Käytöntuki- ja käytönvalvontajärjestelmät, eli käytönhallintajärjestelmät ovat osana sähköverkkoyhtiöiden arkea ja ilman niiden tuomaa apua sähkön jakelun valvonta ja hallinta olisi hyvin haastava tehtävä. Lisäksi käytönhallintajärjestelmät moitteeton toi-miminen tarjoaa hyvän alustan kehittää tulevaisuuden tärkeitä hankkeita kuten Smart Grid konseptia. Tässä työssä tarkastellaan käytönhallintajärjestelmien käyttöönottoa, kuinka se voidaan toteuttaa ja mitä asioita pitää ottaa huomioon käyttöönoton eri vaiheissa. Käytönhallintajärjestelmien käyttöönotto suoritettiin Lappeenrannan teknillisen yliopiston sähkömarkkinalaboratoriossa sijaitsevalla verkkosimulaattorille, johon asennettiin MicroSCADA SYS 600 9.1 käytönvalvontajärjestelmä sekä DMS 600 4.2 käytöntukijärjestelmä.

Liiketoiminnan kehittäminen verkostoitumalla, tutkimus sähkö- ja teleasennustoimialalta

Tällä tutkimuksella annetaan työkaluja pienille mikrotason asennusyrityksille heidän tiellään tuottavampaan ja tehokkaampaan yritystoimintaan. Kehitysmenetelmäksi on valittu verkostoituminen, joka tapahtuu alueellisten toimijoiden kesken ja on lähinnä horisontaalista. Tutkimuksen kohderyhmänä on sähkö-, tele- ja antenniasennusyrittäjät tai alalle aikovat uudet yrittäjät. Luotu malli on sovelias lähes kaikille kiinteistöjen teknisen kunnossapidon alalla toimiville mikroyrityksille. Tutkimuksen teoreettisessa osassa käsitellään verkostoyrittäjyyden perusteita ja syventävästi esitetyn case-mallin mukaista verkostotoiminnan erityispiirteitä. Empiirinen osa koostuu sähköisesti toteutetusta internetpohjaisesta kysely- tutkimuksesta, jonka kohteena on pienet sähkö-, tele- ja antenniasennusyritykset. Kyselytutkimus on toteutettu yhteistyössä alan urakointiliittojen (STUL ry ja SANT ry) kanssa. Kysely noudattaa samoja aihealueita kuin professori Asko Miettisen sähköurakointialalle 1988 toteuttaman raportin SÄHKÖURAKOINTI 2000 kyselylomake pidemmän tarkastelujänteen saamiseksi. Kysely selvittää yritysten nykytilaa ja näkemyksiä alan lähitulevaisuudesta. Empiiristä osaa tuetaan voimakkaasti case- esityksin, jotka pohjautuvat kirjoittajan 40 vuoden yrittäjäkokemukseen tällä alalla, joka on ollut voimakkaastikin lähinnä vertikaalisesti verkottunut. Tutkimus osoittaa, että alan taloudellinen ja toiminnallinenkin kehitys on polkenut paikallaan viimeiset vuosikymmenet, vaikka alan teknologiakehitys on ollut tarkasteluajanjaksona varsin merkittävää. Alan yritysten heikohkojen resurssien vuoks entistä voimakkaampi alueellinen yhteistyö verkostoitumalla on mahdollisuus tuottavampaan yritystoimintaan ja arvontuottoon yritykselle sekä luo mahdollisuuden myös suuntautumisen uusille kehittyneimmille teknologian alueille.

Tumor do saco vitelino primário em retroperitônio

A case of primary extragonadal yolk sac tumor in the retroperitoneum of a young adult male is reported. The symptoms were melena and weakness for two months. Radiologic studies suggested a retroperitoneal tumor infiltrating the duodenum, artery aorta and vein cava, was found. Partial resection was performed, remaining tumor around the vessels. Microscopic examination disclosed a yolk sac tumor infiltrating the duodenum. The patient was managed unsuccessfully with radiotherapy, but good results were actived with chemotherapy. Few cases like that were reported in the literature.

Disseminação linfática na endometriose colorretal

A 40-year-old female patient presented abdominal pain during her periods and progressing constipation during the last 6 years. Retosigmoidoscopy showed a stenotic lesion 14cm above the anal verge. The patient underwent a retosigmoidectomy and the specimen was sent to histopathologic exam. The diagnose was endometriosis with the involvement of the colon and rectum, associated with dissemination of the endometrial cells by the lymph nodes. The patient recovered well and was discharged on the 6th postoperative day. It is commented on the rarity of the lymphatic dissemination in these cases and according to the reviewed literature, this is the 5th case reported. Thus, dissemination of the disease to extra-abdominal sites could possibly occur by this route. Therefore, pathologists should carefully exam the lymph nodes of the mesocolon in these specimens because findings of endometrial "metastasis" may be present.

Music digitalization and its effects on the Finnish music industry stakeholders

For the past two decades the music digitalization has been considered the most significant phenomenon in the music industry as the physical sales have been decreasing rapidly. The advancement of the digital technology and the internet have facilitated the digitalization in the music industry and affected all stages of the music value chain, namely music creation, distribution and consumption. The newly created consumer culture has led to the establishment of novel business models such as music subscriptions and à-la-carte downloads websites and live streaming. The dynamic digital environment has presented the music industry stakeholders with the challenge to adapt to the requirements of the constantly changing modern consumers’ needs and demands. The purpose of this study was to identify how music digitalization can influence change in the Finnish music industry value chain; i.e. how digitalization affects the music industry stakeholders, their functions and inter-relatedness and how the stakeholders are able to react to the changes in the industry. The study was conducted as a qualitative research based entirely on primary data in the form of semi-structured interviews with experts from different units of the Finnish music industry value chain. Since the study offers assessment of diverse viewpoints on the value chain, it further provides an integrated picture of the Finnish music industry current situation and its competitive environment. The results suggest that the music industry is currently in a turbulent stage of experimentation with new business models and digital innovations. However, at this point it is impossible to determine which business model will be approved by the consumers in the longer run. Nevertheless, the study confirmed the claim that consumption of music in its digital form is to become dominant over the traditional physical copies sales in the nearest future. As a result the music industry is becoming more user-oriented; that is the focus is shifting from music production towards artist branding and management and visibility to the audience. Furthermore, the music industry is undergoing the process of integration with other industries such as media, social networks, internet services providers and mobile phone manufacturers in order to better fulfill the consumers’ needs. The previously underrated live music and merchandising are also increasing their significance for the revenues in the stagnant music markets. Therefore, the music industry is developing at present towards becoming an integrated entertainment industry deeply penetrating every point of modern people’s leisure activities.

Post-industrial 2.0 – Social Web as the second coming of the post-industrial society

This study presents a review of theories of the so-called post-industrial society, and proposes that the concept of post-industrial society can be used to understand the recent developments of the World Wide Web, often described as Web 2.0 or social Web. The study combines theories ranging from post-war management science and cultural studies to software development, and tries to build a holistic view of the development of the post-industrial society, and especially the Internet. The discourse on the emergence of a post-industrial society after the World Wars has addressed the ways in which the growing importance of information, and innovations in digital communications technology, are changing our society. It is furthermore deeply connected with the discourse on the postmodern society, which emphasizes cultural fragmentation, intertextuality, and pluralism. The Internet age is characterized by increasing masses of information that are managed through various technologies. While 1990s Internet technologies often used the network as a traditional broadcasting channel with added interactivity, Web 2.0 technologies are specifically designed to utilize the network model by facilitating communication between various services and devices, and analyzing the relationships between users and objects in order to produce intelligent insight. The wide adoption of the Internet, and recently of Internet-enabled mobile devices, is furthermore continuously producing new ways of communicating, consuming, and producing. Applications of the social Web, such as social media or social networking services, are permanently changing our traditional social, cultural, and economic practices. The study first presents an overview of the post-industrial society, the Internet, and the concept of Web 2.0. Then the concept of social Web is described with an analysis of the term social media, the brief histories of the interactive Web and social networking services, and a description of the concept ―long tail‖, used to represent the masses of information available in the Web that do not receive mainstream attention. Finally, methods for retrieving and filtering information, modeling social and cultural relationships, and communicating with customers, are presented.

Genetic and antigenic analysis of Babesia bigemina isolates from five geographical regions of Brazil

A molecular epidemiological study was performed with Babesia bigemina isolates from five geographical regions of Brazil. The genetic analysis was done with random amplification of polymorphic DNA (RAPD), repetitive extragenic palindromic elements-polymerase chain reaction (REP-PCR) and enterobacterial repetitive intergenic consensus sequences-polymerase chain reaction (ERIC-PCR) that showed genetic polymorphism between these isolates and generated fingerprinting. In RAPD, ILO872 and ILO876 primers were able to detect at least one fingerprinting for each B. bigemina isolate. The amplification of B. bigemina DNA fragments by REP-PCR and ERIC-PCR gave evidence for the presence in this haemoprotozoan of the sequences described previously in microorganisms of the bacterial kingdom. For the first time it was demonstrated that both techniques can be used for genetic analysis of a protozoan parasite, although the ERIC-PCR was more discriminatory than REP-PCR. The dendogram with similarity coefficient among isolates showed two clusters and one subcluster. The Northeastern and Mid-Western isolates showed the greatest genetic diversity, while the Southeastern and Southern isolates were the closest. The antigenic analysis was done through indirect fluorescent antibody technique and Western blotting using a panel of monoclonal antibodies directed against epitopes on the merozoite membrane surface, rhoptries and membrane of infected erythrocytes. As expected, the merozoite variable surface antigens, major surface antigen (MSA)-1 and MSA-2 showed antigenic diversity. However, B cell epitopes on rhoptries and infected erythrocytes were conserved among all isolates studied. In this study it was possible to identify variable and conserved antigens, which had already been described as potential immunogens. Considering that an attenuated Babesia clone used as immunogen selected populations capable of evading the immunity induced by this vaccine, it is necessary to evaluate more deeply the cross-protection conferred by genetically more distant Brazilian B. bigemina isolates and make an evaluation of the polymorphism degree of variable antigens such as MSA-1 and MSA-2.

Equine leukoencephalomalacia (ELEM) due to fumonisins B1 and B2 in Argentina

In August 2007 an outbreak of neurological disease and sudden death in Arabian horses occurred in a farm located in Coronel Rosales County, Buenos Aires Province, Argentina. The animals were on a pasture of native grasses and supplemented ad libitum with corn kernels and wheat bran. Three horses were observed having acute neurologic signs including blindness, four leg ataxia, hyperexcitability, aimless walking and circling, followed by death in two of them. Four other horses were found dead overnight without a history of neurologic signs. The morbidity, mortality and lethality rates were 11.6%, 10% and 85.7%, respectively. Grossly, the brain showed focal areas of hemorrhage, brown-yellow discoloration and softening of the sub-cortical white matter. The microscopic brain lesions consisted of extensive areas of malacia within the white matter of the cerebral hemispheres, brainstem and cerebellum, characterized by rarefaction of the white matter with cavitations filled with proteinaceous edema, multifocal hemorrhages and mild infiltration by neutrophils, and rare eosinophils. Swollen glial cells with abundant eosinophilic cytoplasm, distinct cell borders, intracytoplasmic deeply eosinophilic globules and eccentric, hyperchromatic, occasionally pyknotic nucleus were present throughout the areas of rarefaction hemorrhage, edema and necrosis. The feed supplements contained 12,490µg/kg of fumonisin B1 and 5,251µg/ kg of fumonisin B2. This is the first reported outbreak of ELEM associated with consumption of feed supplements containing high concentrations of fumonisins in Argentina.

Lean daily management, visual management and continuous improvement

This thesis was part of lean adaptation project started at Outotec Lappeenranta factory in early 2013. The purpose of this thesis was to develop and propose lean tools that could be used in daily management, visual management and continuous improvement. This thesis was “outsiders” view, and as such, did not study the current processes deeply. As result of this thesis, two different Daily Management -boards were designed, one for parallel processes and one for sequential processes. In addition, methods of doing continuous improvement and daily task accountability were framed and standard work for the leaders outlined. The tools presented in this thesis are general tools which support work in lean environment. They are visual and, if used correctly, they provide a basis from which continuous improvement can be done. Lean philosophy emphasizes the deep understanding of the current situation and it would be against the lean principles to blindly implement anything developed “on the outside”. The tools presented should be reviewed and modified further by the people working on the factory floor.

Transitional cell carcinoma of urinary bladder with metastasis in lumbar vertebrae and spinal cord compression in an ocelot(Leopardus pardalis)

This paper reports a case of nonpapillary and infiltrative transitional cell carcinoma (TCC) of the urinary bladder with metastasis of lumbar vertebrae and spinal cord compression in an adult female ocelot (Leopardus pardalis), from the Mato Grosso state, Brazil. The ocelot had pelvic limb paralysis and skin ulcers in the posterior region of the body and was submitted to euthanasia procedure. At necropsy was observed a multilobulated and irregular shaped, yellowish to white nodule in the urinary bladder. The nodule had a soft consistency and arised from the mucosa of the urinary bladder extending throughout the muscular layers and the serosa. Nodules of similar appearance infiltrating the vertebral column the at L6 and L7 vertebrae with corresponding spinal canal invasion were also observed. The histological evaluation showed epithelial neoplastic proliferation in the urinary bladder with characteristics of nonpapillary and infiltrative TCC, with positive immunohistochemical staining for pancytokeratin, and strong immunostaining for cytokeratin of low molecular weight, and weak or absent labeling for high molecular weight cytokeratin. This is the first report of TCC of urinary bladder in ocelot in Brazil.

Spontaneous Focusing on Quantitative Relations and the Development of Rational Number Conceptual Knowledge

The aim of the present set of studies was to explore primary school children’s Spontaneous Focusing On quantitative Relations (SFOR) and its role in the development of rational number conceptual knowledge. The specific goals were to determine if it was possible to identify a spontaneous quantitative focusing tendency that indexes children’s tendency to recognize and utilize quantitative relations in non-explicitly mathematical situations and to determine if this tendency has an impact on the development of rational number conceptual knowledge in late primary school. To this end, we report on six original empirical studies that measure SFOR in children ages five to thirteen years and the development of rational number conceptual knowledge in ten- to thirteen-year-olds. SFOR measures were developed to determine if there are substantial differences in SFOR that are not explained by the ability to use quantitative relations. A measure of children’s conceptual knowledge of the magnitude representations of rational numbers and the density of rational numbers is utilized to capture the process of conceptual change with rational numbers in late primary school students. Finally, SFOR tendency was examined in relation to the development of rational number conceptual knowledge in these students. Study I concerned the first attempts to measure individual differences in children’s spontaneous recognition and use of quantitative relations in 86 Finnish children from the ages of five to seven years. Results revealed that there were substantial inter-individual differences in the spontaneous recognition and use of quantitative relations in these tasks. This was particularly true for the oldest group of participants, who were in grade one (roughly seven years old). However, the study did not control for ability to solve the tasks using quantitative relations, so it was not clear if these differences were due to ability or SFOR. Study II more deeply investigated the nature of the two tasks reported in Study I, through the use of a stimulated-recall procedure examining children’s verbalizations of how they interpreted the tasks. Results reveal that participants were able to verbalize reasoning about their quantitative relational responses, but not their responses based on exact number. Furthermore, participants’ non-mathematical responses revealed a variety of other aspects, beyond quantitative relations and exact number, which participants focused on in completing the tasks. These results suggest that exact number may be more easily perceived than quantitative relations. As well, these tasks were revealed to contain both mathematical and non-mathematical aspects which were interpreted by the participants as relevant. Study III investigated individual differences in SFOR 84 children, ages five to nine, from the US and is the first to report on the connection between SFOR and other mathematical abilities. The cross-sectional data revealed that there were individual differences in SFOR. Importantly, these differences were not entirely explained by the ability to solve the tasks using quantitative relations, suggesting that SFOR is partially independent from the ability to use quantitative relations. In other words, the lack of use of quantitative relations on the SFOR tasks was not solely due to participants being unable to solve the tasks using quantitative relations, but due to a lack of the spontaneous attention to the quantitative relations in the tasks. Furthermore, SFOR tendency was found to be related to arithmetic fluency among these participants. This is the first evidence to suggest that SFOR may be a partially distinct aspect of children’s existing mathematical competences. Study IV presented a follow-up study of the first graders who participated in Studies I and II, examining SFOR tendency as a predictor of their conceptual knowledge of fraction magnitudes in fourth grade. Results revealed that first graders’ SFOR tendency was a unique predictor of fraction conceptual knowledge in fourth grade, even after controlling for general mathematical skills. These results are the first to suggest that SFOR tendency may play a role in the development of rational number conceptual knowledge. Study V presents a longitudinal study of the development of 263 Finnish students’ rational number conceptual knowledge over a one year period. During this time participants completed a measure of conceptual knowledge of the magnitude representations and the density of rational numbers at three time points. First, a Latent Profile Analysis indicated that a four-class model, differentiating between those participants with high magnitude comparison and density knowledge, was the most appropriate. A Latent Transition Analysis reveal that few students display sustained conceptual change with density concepts, though conceptual change with magnitude representations is present in this group. Overall, this study indicated that there were severe deficiencies in conceptual knowledge of rational numbers, especially concepts of density. The longitudinal Study VI presented a synthesis of the previous studies in order to specifically detail the role of SFOR tendency in the development of rational number conceptual knowledge. Thus, the same participants from Study V completed a measure of SFOR, along with the rational number test, including a fourth time point. Results reveal that SFOR tendency was a predictor of rational number conceptual knowledge after two school years, even after taking into consideration prior rational number knowledge (through the use of residualized SFOR scores), arithmetic fluency, and non-verbal intelligence. Furthermore, those participants with higher-than-expected SFOR scores improved significantly more on magnitude representation and density concepts over the four time points. These results indicate that SFOR tendency is a strong predictor of rational number conceptual development in late primary school children. The results of the six studies reveal that within children’s existing mathematical competences there can be identified a spontaneous quantitative focusing tendency named spontaneous focusing on quantitative relations. Furthermore, this tendency is found to play a role in the development of rational number conceptual knowledge in primary school children. Results suggest that conceptual change with the magnitude representations and density of rational numbers is rare among this group of students. However, those children who are more likely to notice and use quantitative relations in situations that are not explicitly mathematical seem to have an advantage in the development of rational number conceptual knowledge. It may be that these students gain quantitative more and qualitatively better self-initiated deliberate practice with quantitative relations in everyday situations due to an increased SFOR tendency. This suggests that it may be important to promote this type of mathematical activity in teaching rational numbers. Furthermore, these results suggest that there may be a series of spontaneous quantitative focusing tendencies that have an impact on mathematical development throughout the learning trajectory.