9 resultados para Most Probable Number
em Doria (National Library of Finland DSpace Services) - National Library of Finland, Finland
Resumo:
Euroopan unionissa päätettiin jo yli vuosikymmen sitten, että rautatieliiketoiminta vapautetaan kilpailulle. Iso-Britanniasta olimäärä tulla esimerkkivaltio tämän prosessin käyttöönotossa. Pääideana oli säännöstelyn keventäminen, jolloin omistuspohja toimialalla laajenee ja rautateiden infrastruktuuri sekä toiminta parantuvat. Infrastruktuuri on määrä olla yhden organisaation hallinnassa ja raiteiden käyttöoikeus on kaikilla lupaehdot täyttävillä operaattoreilla, jotka kilpailevat keskenään matkustajista ja tavararahdeista. Kuitenkin Yhdysvalloissa ja eräissä Latinalaisen Amerikan maissa kilpailu on vapautettu siten, että rautatieyritys omistaa raideinfrastruktuurin, junat, tavarankuljetus- sekä matkustajavaunut. Iso-Britannian yksityistämistä pidettiin aluksi isonaepäonnistumisena: nopealla aikataululla sovellettiin jäykkiä transaktioperusteisia ulkoistamisstrategioita infrastruktuurin kunnossapitoon, jotka lopulta johtivat junien jatkuviin myöhästymisiin ja muutamaan tuhoisaan onnettomuuteen. Liiketoiminnallisessa mielessäkään ei oikein onnistuttu: infrastruktuurista vastaava yritys jouduttiin listaamaan pois Lontoon pörssistä, ja hallituksen oli pakko luoda tukipaketti pahasti velkaantuneen, vain marginaalisien investointien kohteena olleen yrityksen toimintaa varten (vaikka kapasiteettitarvetta oli markkinoilla). Myös rautatieoperaattorit olivat taloudellisessa ahdingossa ja vain määrätietoisten hallituksen laatimien pelastuspakettien avulla ala nousi syvimmästä kriisistään. Tästä huolimatta näiden negatiivisten sivuvaikutusten ohella koko ala pystyi kasvattamaan kysyntää, niin matkustaja- kuin rahtiliikenteenkin osalta. Vähenevän kysynnän trendi, joka alkoi 1970-luvulla, otti käännöksen parempaan. Toinen eurooppalaismaa, jolla on pitkät kokemukset yksityistämisestä, on Ruotsi. Tämä maatapaus on melko konservatiivinen verrattuna tilanteeseen edellisessä; vain rajattu määrä reittejä on avattu kilpailulle ja sopimukset tehdään kerralla pitkäksi aikaa eteenpäin. Ruotsin säännöstelyn purku osoittautui menestykseksi, koska tuottavuus onollut vakaassa kasvussa ja rautateiden markkinaosuus erityisesti matkustajapuolella on noussut merkittävästi, verrattuna muihin kuljetusmuotoihin. Kuitenkin kilpailua on käytännössä vähän tässä maassa ja parempiatuloksia on lupa odottaa, kun vain säännöstelyn purkaminen jatkuu. Viimeinen tutkimuksemme kohteena oleva maa on Yhdysvallat, joka alistutti rautatiet kilpailulle jo 1980-luvun alussa, käyttäen jo edellä mainittua vertikaalista integraatiota; tämä valinta on taas johtanut hyvin erilaisiin tuloksiin. Vaihtoehtoinen rakenteellinen uudistustapa on suosinut rahtivirtoja matkustajiin nähden, ja lopputuloksena tämä tapaus synnytti yrityksiä huolehtimaan toista näistä kahdesta pääasiakasryhmästä. Viimeaikaiset tulokset tästä yksityistämisprosessista ovat olleet hyviä: jäljellejääneiden yritysten voitot ovat kasvaneet, osinkoja ollaan kyetty jakamaan ja osakkeiden arvostus on noussut. Tässä tutkimusraportissa yritämme kolmen maatapauksen kautta esittää, miten yksityistämisprosessi tulee vaikuttamaan Euroopassa, kun kilpailu rautateillä vapautuu. Me käymmeläpi, mikä näistä kolmesta maaesimerkistä on kaikkein todennäköisin jaesitämme ehdotuksia siihen, miten valtiot voisivat välttää ei-haluttuja sivuvaikutuksia. Kolme maaesimerkkiä, ja lopuksi esitetty lyhyt tilastollinen analyysi osoittavat, että rautateillä on tulevaisuuden potentiaalia Euroopassa, ja kilpailun vapauttaminen on avain tämän potentiaalin realisointiin.
Resumo:
Työn kirjallisuusosassa on tarkasteltu rasvaistenjätevesien puhdistuksessa käytettyjä perinteisiä käsittelymenetelmiä ja ultrasuodatusta. Perinteisiä rasvaisten jätevesien käsittelymenetelmiä ovat muun muassalaskeutus, flotaatio, hydrosykloni, pisarakoon kasvattaminen suodatus sekä biologinen käsittely. Lisäksi happohydrolyysia voidaan soveltaa edellä mainittujen menetelmien esikäsittelynä. Perinteisten puhdistusmenetelmien käyttöä rajoittavatniiden tehottomuus emulgoituneen ja liukoisen öljyn poistossa. Tämä sekä kiristyneet päästövaatimukset ja kalvotekniikan nopea kehittyminen ovat lisänneet kiinnostusta kalvotekniikkaan. Työn soveltavassa osassa on tarkasteltu rasvojen mahdollisesti aiheuttamia ongelmia Porvoon jalostamon kemiallisessa ja biologisessa puhdistuksessa. Rasvaisia jätevesiä muodostuu biodieselin valmistuksessa, jossa rasvoja käytetään syöttöaineena. Vertailtaessa jalostamon vesilaitoksen nykyisiä olosuhteita ja rasvojen käsittelyn vaatimia olosuhteita havaitaan, että optimiolosuhteet ovat melko lähellä toisiaan ja rasvaisten jätevesien mukana tulevat fosfori-, typpi- ja COD-kuormat melko pieniä. Suurimmat mahdolliset rasvojen aiheuttamat ongelmat syntyvät aktiivilietelaitoksella, jossa kevyt pinnalle nouseva rasva nostaa mukanaan lietettä. Rasvat ja rasvahapot myös lisäävät rihmamaisten bakteerien kasvua, joiden runsas esiintyminen aiheuttaa huonosti laskeutuvaa lietettä, eli paisuntalietettä. Rasvaisten vesien aiheuttamaa kuormitusta aktiivilieteprosessiin on tarkasteltu Activated sludge Model No. 3:n ja bio-P fosforin poisto moduuliin pohjautuvan Excel-taulukkolaskentamallin avulla. Pohjana työssä on käytetty Tuomo Hillin vuonna 2002 diplomityönä tekemää taulukkolaskentamallia. Työssä on esitelty kaikki mallin kannalta oleelliset yhtälöt ja parametrit. Tämän tutkimuksen perusteella mallin käytettävyyttä rajoittaa se, että sitä ei ole kalibroitu Porvoon jalostamolle. Kalibroimattomalla mallilla voidaan saada vain suuntaa antavia tuloksia.
Resumo:
Hedelmättömyyttä aiheuttavan siittiöiden puolihäntävian molekyyligenetiikka Suomalaisissa Yorkshire karjuissa yleistyi 1990-luvun lopulla autosomaalisesti ja resessiivisesti periytyvä hedelmättömyyttä aiheuttava siittiöiden puolihäntävika (ISTS, immotile short tail sperm). Sairaus aiheuttaa normaalia lyhyemmän ja täysin liikkumattoman siittiön hännän muodostuksen. Muita oireita sairailla karjuilla ei ole havaittu ja emakot ovat oireettomia. Tämän tutkimuksen tarkoituksena oli kartoittaa siittiöiden puolihäntävian aiheuttava geenivirhe ja kehittää DNA-testi markkeri- ja geeniavusteiseen valintaan. Koko genomin kartoituksessa vian aiheuttava alue paikannettiin sian kromosomiin 16. Paikannuksen perusteella kahden geenimerkin haplotyyppi kehitettiin käytettäväksi markkeri-avusteisessa valinnassa. Sairauteen kytkeytyneen alueen hienokartoitusta jatkettiin geenitestin kehittämiseksi kantajadiagnostiikkaan. Vertailevalla kartoituksella oireeseen kytkeytynyt alue paikannettiin 2 cM:n alueelle ihmisen kromosomiin viisi (5p13.2). Tällä alueella sijaitsevia geenejä vastaavista sian sekvensseistä löydetyn muuntelun perusteella voitiin tarkentaa sairauteen kytkeytyneitä haplotyyppejä. Haplotyyppien perusteella puolihäntäoireeseen kytkeytynyt alue rajattiin kahdeksan geenin alueelle ihmisen geenikartalla. Alueelle paikannetun kandidaattigeenin (KPL2) sekvensointi paljasti introniin liittyneen liikkuvan DNA-sekvenssin, Line-1 retroposonin. Tämä retroposoni muuttaa geenin silmikointia siten, että sitä edeltävä eksoni jätetään pois tai myös osa introni- ja inserttisekvenssiä liitetään geenin mRNA tuotteeseen. Molemmissa tapauksissa tuloksena on lyhentynyt KPL2 proteiini. Tähän retroposoni-inserttiin perustuva geenitesti on ollut sianjalostajien käytössä vuodesta 2006. KPL2 geenin ilmenemisen tarkastelu sialla ja hiirellä paljasti useita kudosspesifisiä silmikointimuotoja. KPL2 geenin pitkä muoto ilmenee pääasiassa vain kiveksessä, mikä selittää geenivirheen aiheuttamat erityisesti siittiön kehitykseen liittyvät oireet. KPL2 proteiinin ilmeneminen hiiren siittiön hännän kehityksen aikana ja mahdollinen yhteistoiminta IFT20 proteiinin kanssa viittaavat tehtävään proteiinien kuljetuksessa siittiön häntään. Mahdollisen kuljetustehtävän lisäksi KPL2 saattaa toimia myös siittiön hännän rakenneosana, koska se paikannettiin valmiin siittiön hännän keskiosaan. Lisäksi KPL2 proteiini saattaa myös toimia Golgin laitteessa sekä Sertolin solujen ja spermatidien liitoksissa, mutta nämä havainnot kuitenkin vaativat lisätutkimuksia. Tämän tutkimuksen tulokset osoittavat, että KPL2 geeni on tärkeä siittiön hännän kehitykselle ja sen rakennemuutos aiheuttaa siittiöiden puolihäntäoireen suomalaisilla Yorkshire karjuilla. KPL2 proteiinin ilmeneminen ja paikannus siittiön kehityksen aikana antaa viitteitä proteiinin toiminnasta. Koska KPL2 geenisekvenssi on erittäin konservoitunut, nämä tulokset tuovat uutta tietoa kaikkien nisäkkäiden siittiöiden kehitykseen ja urosten hedelmättömyyteen syihin.
Resumo:
The world’s pace of change is accelerating and new innovations, inventions and technologies come about every day. Change is unavoidable. It is difficult to keep up and even more difficult to prepare for the future. Even though it is not possible to know exactly what will happen in the future, by studying futures people can better anticipate what might lie ahead. By making decisions and realizing the consequences of their choices today, people and governments are able to actively decide how they will act in the future. Both opportunities and pitfalls lie ahead, which encourages actors to make more farsighted decisions. The Baltic Sea region is an interesting area for futures studies. It comprises 11 nations and more than 100 million inhabitants and entails countries with advanced, high-income economies, like Finland, Germany and Denmark, and developing economies, like Russia, Latvia and Lithuania. The western, eastern, northern and southern parts of the region are separated by the Baltic Sea, which at the same time represents a barrier and a facility for trade and travel between the countries belonging to the region The purpose of this study was to uncover the most probable future of transport and logistics in the Baltic Sea region in 2025 by using the Delphi method. Altogether 109 responses were collected in two separate instances from experts in all the Baltic Sea region countries, 56 of whom were defined as academic respondents and 53 of whom business respondents. Only minor differences in the opinions of academic and business experts were discovered, and the larger differences lie between eastern and western response groups. The Baltic Sea region is a very heterogeneous region and the division is clearest between East and West, which differ in political, economic, social, technological and environmental aspects. The probable future of the Baltic Sea region presented in this study is coherent with previous studies on the same subject. The future of the Baltic Sea region in terms of logistics and transport looks quite bright according to the experts who participated in the study. Trade volumes will grow and the importance of logistics and transport to the competitiveness of the region will increase. Respondents from eastern countries seemed to be more optimistic about the future in general. Most differences between opinions could be explained by the gap in technological and infrastructural development between the East and West. As eastern countries are less-developed in some parts of their economies, it is easier for them to improve the technical condition of infrastructure by merely catching up with the western countries.
Resumo:
Acid sulfate (a.s.) soils constitute a major environmental issue. Severe ecological damage results from the considerable amounts of acidity and metals leached by these soils in the recipient watercourses. As even small hot spots may affect large areas of coastal waters, mapping represents a fundamental step in the management and mitigation of a.s. soil environmental risks (i.e. to target strategic areas). Traditional mapping in the field is time-consuming and therefore expensive. Additional more cost-effective techniques have, thus, to be developed in order to narrow down and define in detail the areas of interest. The primary aim of this thesis was to assess different spatial modeling techniques for a.s. soil mapping, and the characterization of soil properties relevant for a.s. soil environmental risk management, using all available data: soil and water samples, as well as datalayers (e.g. geological and geophysical). Different spatial modeling techniques were applied at catchment or regional scale. Two artificial neural networks were assessed on the Sirppujoki River catchment (c. 440 km2) located in southwestern Finland, while fuzzy logic was assessed on several areas along the Finnish coast. Quaternary geology, aerogeophysics and slope data (derived from a digital elevation model) were utilized as evidential datalayers. The methods also required the use of point datasets (i.e. soil profiles corresponding to known a.s. or non-a.s. soil occurrences) for training and/or validation within the modeling processes. Applying these methods, various maps were generated: probability maps for a.s. soil occurrence, as well as predictive maps for different soil properties (sulfur content, organic matter content and critical sulfide depth). The two assessed artificial neural networks (ANNs) demonstrated good classification abilities for a.s. soil probability mapping at catchment scale. Slightly better results were achieved using a Radial Basis Function (RBF) -based ANN than a Radial Basis Functional Link Net (RBFLN) method, narrowing down more accurately the most probable areas for a.s. soil occurrence and defining more properly the least probable areas. The RBF-based ANN also demonstrated promising results for the characterization of different soil properties in the most probable a.s. soil areas at catchment scale. Since a.s. soil areas constitute highly productive lands for agricultural purpose, the combination of a probability map with more specific soil property predictive maps offers a valuable toolset to more precisely target strategic areas for subsequent environmental risk management. Notably, the use of laser scanning (i.e. Light Detection And Ranging, LiDAR) data enabled a more precise definition of a.s. soil probability areas, as well as the soil property modeling classes for sulfur content and the critical sulfide depth. Given suitable training/validation points, ANNs can be trained to yield a more precise modeling of the occurrence of a.s. soils and their properties. By contrast, fuzzy logic represents a simple, fast and objective alternative to carry out preliminary surveys, at catchment or regional scale, in areas offering a limited amount of data. This method enables delimiting and prioritizing the most probable areas for a.s soil occurrence, which can be particularly useful in the field. Being easily transferable from area to area, fuzzy logic modeling can be carried out at regional scale. Mapping at this scale would be extremely time-consuming through manual assessment. The use of spatial modeling techniques enables the creation of valid and comparable maps, which represents an important development within the a.s. soil mapping process. The a.s. soil mapping was also assessed using water chemistry data for 24 different catchments along the Finnish coast (in all, covering c. 21,300 km2) which were mapped with different methods (i.e. conventional mapping, fuzzy logic and an artificial neural network). Two a.s. soil related indicators measured in the river water (sulfate content and sulfate/chloride ratio) were compared to the extent of the most probable areas for a.s. soils in the surveyed catchments. High sulfate contents and sulfate/chloride ratios measured in most of the rivers demonstrated the presence of a.s. soils in the corresponding catchments. The calculated extent of the most probable a.s. soil areas is supported by independent data on water chemistry, suggesting that the a.s. soil probability maps created with different methods are reliable and comparable.
Resumo:
Tässä työssä arvioidaan terveydenhuollon sähköisten palveluiden käytettävyyttä. Tavoitteena on selvittää kuinka Hyvis.fi tyyppisen sivuston käytettävyyttä voidaan parantaa käyttäjän näkökulmasta. Käytännön työnä suoritettiin heuristinen arvio Hyvis.fi sivustolle ja sen kilpailijoiden ratkaisuille. Näin pyrittiin selvittämään syitä miksi Hyvis.fi sivuston käytettävyys ei ole yhtä hyvä kuin kilpailijoilla. Tuloksista selvisi, että todennäköisin syy on monimutkainen ja epälooginen dialogi käyttäjän kanssa. Sivuston rakenne ei ole yhtä yksinkertainen ja yhdenmukainen, kuin muissa testatuissa sivustoissa. Jatkossa on tehtävä käytettävyystestausta selvittääkseen, mitkä toiminnot ovat eniten ja vähiten käytettyjä. Eniten käytetyt toiminnot on tuotava paremmin esille käyttäjille ja vähiten käytetyt piilottaa tai poistaa täysin. Hyvis.fi sivuston tapauksessa huono dialogi vaikuttaa niin vakavalta ongelma, että muut käytettävyysongelmat johtuvat osittain siitä.
Resumo:
Corporate social responsibility or CSR is today a widely recognized concept which is receiving in- creasing popularity extremely rapidly, especially in the business world. The pressure on companies to carry out their business practices in ethical manners, which promote the wellbeing of the environment and society, is coming from all directions and all stakeholders. Alstom, a French multinational conglomerate operating in the rail transport and energy industry, is no exception to this norm. This company, which will be used as the case example in this thesis, is being brought to bay in terms of engaging in CSR practices and practicing business with high ethics. It is surely not a negatively conceived phenomenon that CSR is being put on a pedestal – quite the opposite. Instead of corporations practicing CSR only to meet their stakeholder requirements through practicing window dressing, many corporations actually strive to benefit from the practice of corporate social business. In addition to bringing benefit to externals a corporation such as Alstom itself can benefit from being involved in CSR. The purpose of this thesis is to evaluate the current strategic values and the future perspectives of CSR at Alstom and moreover the added value which the practice of CSR could bring Alstom as a business. A set of perspectives from a futures studies viewpoint is looked at, with critical examination of the company’s current corporate practices as well as the CSR related studies and theories written for corporations. Through this, some solutions and practices will be suggested to Alstom in order for it to fully utilize the potential of corporate social business and the value it can bring in the most probable futures that the company is expected to face. By utilizing the Soft Systems Methodology (SSM), a method mainly used in organizations to solve problematic issues in management and policy contexts, a process is developed to see what improvements could be of help in improving Alstom and its way towards involving CSR in its business practices even more than it currently does. Alstom is already deeply involved in the practicing of CSR and its vision has a strong emphasis on this popular concept of today. In order to stay in the game and to use CSR as a competitive advantage to the company, Alstom ought to embed corporate social practices even deeper in its organizational culture by using them as a tool to reduce risk and costs, increasing employee commitment and customer loyalty and to attract socially responsible investors, just to name a few. CSR as a concept is seen to have great potential in the future, an opportunity Alstom will not miss.
Resumo:
Waste has been incinerated for energy utilization for more than a hundred years, but the harmful emissions emitted from the incineration plants did not begin to cause concern until the 1980s. Many plants were shutdown and the waste incineration plant in Kyläsaari Helsinki was one of them. In later years, new landfill regulations have increased the interest in waste incineration. During the last year, four new plants were taken into operation in Finland, Westenergy in Vaasa among them. The presence of dust has been observed indoors at Westenergy waste incineration plant. Dust is defined as particles with a diameter above 10 μm, while fine particles have a diameter smaller than 2.5 μm, ultrafine under 0.1 μm and nanoparticles under 0.05 μm. In recent years, the focus of particle health research has been changed to investigate smaller particles. Ultrafine particles have been found to be more detrimental to health than larger particles. Limit values regulating the concentrations of ultrafine particles have not been determined yet. The objective of this thesis was to investigate dust and particles present inside the Westenergy waste incineration facility. The task was to investigate the potential pollutant sources and to give recommendations of how to minimize the presence of dust and particles in the power plant. The total particle number concentrations and size distributions where measured at 15 points inside the plant with an Engine Exhaust Particle Sizer (EEPS) Spectrometer. The measured particles were mainly in the ultrafine size range. Dust was only visually investigated, since the main purpose was to follow the dust accumulation. The measurement points inside the incineration plant were chosen according to investigate exposure to visitors and workers. At some points probable leakage of emissions were investigated. The measurements were carried out during approximately one month in March–April 2013. The results of the measurements showed that elevated levels of dust and particles are present in the indoor air at the waste incineration plant. The cleanest air was found in the control room, warehouse and office. The most polluted air was near the sources that were investigated due to possible leakage and in the bottom ash hall. However, the concentrations were near measured background concentrations in European cities and no leakage could be detected. The high concentrations were assumed to be a result of a lot of dust and particles present on surfaces that had not been cleaned in a while. The main source of the dust and particles present inside the waste incineration plant was thought to be particles and dust from the outside air. Other activities in the area around the waste incineration facility are ground work activities, stone crushing and traffic, which probably are sources of particle formation. Filtration of the outside air prior entering the facility would probably save personnel and visitors from nuisance and save in cleaning and maintenance costs.
Resumo:
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.