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The Global ETD Search service is a free service for researchers
to find electronic theses and dissertations. This service is
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Networked Digital Library of Theses and Dissertations.
Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
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Showing 1 to 3 of 3 (0.065 seconds)Spelling suggestions: "subject:"linearities"" "subject:"linearity""
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Den utbredda felanvändningen av proportionalitet och linearitet : En litteraturstudie om vilka svårigheter elever har med proportionalitet och linearitet samt vilka strategier lärare kan använda för att hjälpa eleverna övervinna dem / The Widespread Misuse of Proportionality and Linearity : A literature study about students’ difficulties with proportionality and linearity and what strategies teachers can use to help the students overcome themSärkimukka, Ida January 2022 (has links)
Syftet med den här litteraturstudien var att undersöka vilka svårigheter elever har med de matematiska begreppen proportionalitet och linearitet. Utifrån dessa svårigheter identifieras sedan ett antal strategier lärare kan använda sig av för att hjälpa eleverna med att övervinna de funna svårigheterna. Det är tre kategorier av svårigheter som lyfts fram: felaktig lösningsstrategi, överanvändning samt bristande begreppsförståelse. Felaktig lösningsstrategi handlar om att eleverna använder sig av fel strategi vid lösning av proportionella problem och överanvändningen innebär att eleverna använder sig av proportionalitet där det inte är tillämpbart. Den bristande begreppsförståelsen kan ses som en anledning till de övriga svårigheterna. För att hjälpa eleverna bemästra svårigheterna identifieras två kategorier av lärarstrategier. Den första kategorin lyfter fram att det är viktigt att använda sig av ett diagnosverktyg för att ta reda på vilka svårigheter eleverna har samt hur ett sådant skulle kunna utformas. Den andra kategorin innehåller förslag som kan användas i undervisningen. / The purpose of this literature study was to examine students' difficulties with the mathematical concepts of proportionality and linearity. From these, several teaching strategies that can help the students overcome the difficulties are identified. Three categories of difficulties are identified: students use of the wrong strategy solving proportionality problems, students overuse of proportionality and linearity, and students deficient understanding of the concepts. The lack of understanding of the concepts can be seen as a reason for the other difficulties. Two categories with strategies that can be used by teachers to help the students overcome the difficulties are identified. The first category emphasises the importance of using a diagnostic tool to identify what difficulties the students experience. The design of the tools is also discussed. The second category includes suggestions on how specific design of the teaching can help the students.
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Proportionalitet och linearitet – den röda tråden genom matematiken : En empirisk studie om elevers missuppfattningar och felanvändningar av proportionalitet och linearitet samt gymnasielärares strategier för att korrigera dessa / Proportionality and Linearity – the Common Thread through Mathematics : An Empirical Study on Students´ Misconceptions and Overuse of Proportionality and Linearity and Upper Secondary Teachers´ Strategies to Correct ThemDanho, Gabriel January 2024 (has links)
Syftet med den här empiriska studien var att beskriva gymnasielärares erfarenheter av att presentera begreppen proportionalitet och linearitet för sina elever, samt de misstag de har observerat att deras elever ofta gör. Lärarnas svar sammanfattades under tre huvudtemana Proportionalitet: Förklaringar och strategier; Mönster och missuppfattningar; samt Elevers begreppsbilder av proportionalitet. Lärarna i studien presenterar oftast proportionalitetsbegreppet genom vardagliga exempel. Att korrekt välja mellan lineära (proportionella) och icke-proportionella, t ex affina, modeller är enligt lärarnas erfarenheter svårt för eleverna. För att förklara och påpeka misstag har lärare ofta strategin att använda exempel utanför matematikämnet, t ex hämtade från fysik eller ekonomi. / The purpose of this empirical study was to describe upper secondary teachers' experiences of presenting the concepts of proportionality and linearity to their students, as well as the mistakes they have observed their students often make. The teachers' answers were summarized under three main themes, Proportionality: Explanation and strategies; Patterns and Misconceptions; and Students´ concept images of proportionality. The teachers in the study usually present the concept of proportionality through everyday examples. In teachers' experience, the choice between non-proportional, affine or linear models are quite confusing for students. In order to explain and point out to the mistakes students often make, teachers often have the strategy to use examples from other areas than mathematics, e. g. physics or economy.
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Analysis of Accuracy for Engine and Gearbox SensorsDogantimur, Erkan, Johnsson, Daniel January 2019 (has links)
This thesis provides a standardized method to measure accuracy for engine and gearbox sensors. Accuracy is defined by ISO 5725, which states that trueness and precision need to be known to provide a metric for accuracy. However, obtaining and processing the data required for this is not straight forward. In this thesis, a method is presented that consists of two main parts: data acquisition and data analysis. The data acquisition part shows how to connect all of the equipment used and how to sample and store all the raw data from the sensors. The data analysis part shows how to process that raw data into statistical data, such as trueness, repeatability and reproducibility for the sensors. Once repeatability and reproducibility are known, the total precision can be determined. Accuracy can then be obtained by using information from trueness and precision. Besides, this thesis shows that measurement error can be separated into error caused by the sensors and error caused by the measurand. This is useful information, because it can be used to assess which type of error is the greatest, whether or not it can be compensated for, and if it is economically viable to compensate for such error. The results are then shown, where it is possible to gain information about the sensors’ performance from various graphs. Between Hall and inductive sensors, there were no superior winner, since they both have their strengths and weaknesses. The thesis ends by making recommendations on how to compensate for some of the errors, and how to improve upon the method to make it more automatic in the future.
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