Search results for "VDP::Matematikk og naturvitenskap: 400::Matematikk: 410"
showing 10 items of 136 documents
Elever på videregående skole lager egne matematikkoppgaver : En studie av hvordan elever i en 1P-klasse argumenterte for at en matematikkoppgave lage…
2017
Masteroppgave matematikkdidaktikk MA502 – Universitetet i Agder 2017 “Upper Secondary Students Pose Their Own Problems – A study of how students in a 1P class argued that a task posed by the students themselves, was a good task” is a qualitative study of a group of students in the subject 1P who was asked to pose problems related to the game Lotto. The theme of the study is “problem posing”, or more specifically students posing problems. The research question is: How do students argue that a problem posed by the students themselves, is a good problem? In order to answer this, I have focused on four areas: the students’ argumentation in the process of posing problems and considerations relat…
Relevansen av trigonometri : En studie i to deler på relevansen av trigonometri for elever på videregående skole
2017
Masteroppgave matematikkdidaktikk MA502 – Universitetet i Agder 2017 The topic of this master’s thesis is the relevance of mathematics, especially the relevance of trigonometry. Many students ask the question “why do I need to learn about this”. The aim of this study was to give the students an answer to this question. In the research literature, I found that this question has to do with relevance, and that relevance is a connection between people, an activity and future goals. In particular, one needs to question: relevance of what? relevance according to whom? relevance for whom? And relevance to what end? The empirical part of my research consisted of two studies. In Study 1 the purpose …
Irrasjonalitet og det gylne snitt : Graden av irrasjonalitet og egenskaper ved φ
2019
Masteroppgave matematikkdidaktikk MA502 – Universitetet i Agder 2019 The golden ratio has been known for over a thousand years through written sources,and possibly for an even longer time without having been recorded in writing. Theratio is most likely best known for its relationship to the Fibonacci Sequence, ar-chitecture and art; however, it also occurs naturally (by approximation) in sunflow-ers, pinecones, and growth patterns, among other things, and in abstract geometryit may appear in contexts where it might not be altogether expected. What, then,is it that makes the golden ratio so extraordinary?The answer lies largely in the degree of irrationality. The degree of irrationalityis de…
Students’ perception of infinity : Perception, obstacles, conception
2017
Master's thesis Mathematics Education MA502 - University of Agder 2017 Several studies in mathematics education have shown that students face significant difficulties for understanding the concept of infinity. The purpose of this study is to suggest an explanation of how students understand the concept of infinity and identify the difficulties for understanding it. Explanation will be given through an investigation on the following aspects of understanding and the implementation of the corresponding theoretical background: i) primary perception in terms of Singer and Voica’s(2008) categories and secondary perception in the context of comparison of infinite sets ii) obstacles in coming to un…
Matematikklærerstudenters matematiske ‘meanings’ om funksjonsbegrepet : En pilotstudie av hva instrumentet MMTsm avslører i forhold til norske matema…
2017
Masteroppgave matematikkdidaktikk MA502 – Universitetet i Agder 2017 The theme for this master study is teacher students’ mathematical meanings about the function concept. Meanings are representations of cognitive schemes, which can be observed through the behavior of the person, for example through answers on tasks. This study is part of a bigger research project connected to Patrick W. Thompsons’ research about secondary mathematics teacher’s meanings. The instrument Mathematical Meanings for Teaching secondary mathematics (MMTsm), developed by American researchers, is used in this study. In my study, students’ meanings about the concept of functions have been studied by analyzing teacher…
Matematikklærerstudenters matematiske ‘meaning’ om endringsrate : En norsk pilotstudie om bruken av et instrument utviklet i USA designet for å utfor…
2017
Masteroppgave matematikkdidaktikk MA502 – Universitetet i Agder 2017 The theme for this masters dissertation is mathematics teacher education students’ mathematical meaning of rate of change. It is a pilot study that uses the research instrument Mathematical Meanings for Teaching secondary mathematics (MMTsm) in Norway. The instrument is developed in the USA by Professor Pat Thompson at Arizona State University. It is a diagnostic instrument designed to investigate teachers’ mathematical meanings and it is developed from a constructivist perspective. In the work for this dissertation I have focused on the subject ‘rate of change’, that is the subject of several of the tasks included in the …
The Relevance of Logarithms : A study in two parts on the relevance of logarithms for students in upper secondary school
2017
Master's thesis Mathematics Education MA502 - University of Agder 2017 The topic of this master's thesis is the relevance of mathematics, specifically of logarithms, to students in upper secondary school. Students often ask "why do I need to learn about this". The aim of my research is to provide students with an answer to this question. The research consisted of two studies, Study 1 and Study 2. Study 1 aimed at figuring out by whom, how and why logarithms are used. Information about this was obtained by literature searches and expert appraisal. With Study 2, I condensed this information into a short educational video aiming at providing students in upper secondary school with an answer to…
Utvikling av inquiry-basert undervising i matematikk : Kvalitative erfaringar frå eit intensivt og forskingsbasert utviklingsprosjekt med to lærarar …
2017
Masteroppgave matematikkdidaktikk MA502 – Universitetet i Agder 2017 Inquiry-based teaching is characterized by engaging students in inquiry, collaboration and disussions on the basis of rich, perhaps realistic, problems with the teacher acting as moderator or coach. In recent years, this type of teaching has gained increasing attention within Norwegian mathematics education and is a focus area for influential contributors. Since these ideas are remote for many mathematics classrooms, the object of this thesis is to shed light on teachers’ (and students’) process of developing new practices in accordance with this ideal. I ask: What developments, challenges and key factors affect this proce…
Matematisk ekvivalens i en femteklasse - en kasusstudie
2017
Masteroppgave matematikkdidaktikk MA502 – Universitetet i Agder 2017 This master thesis is a study of a fifth-grade class and their understanding of mathematical equivalence and if their understanding affects how they solve algebraic word problems. Within their understanding of mathematical equivalence the equal sign plays an important part. This study is based on former research about the main topic (Chesney & McNeil. 2014; Kieran. 1981; Knuth et al. 2006) that detected many pupils in elementary school with an operational understanding of the equal sign. Therefor the pupils have misconceptions about the meaning of the equal sign not being a relational mathematical symbol, but they view the…
On concept images of monotonicity of Finnish secondary students – with comparison and reference to tertiary students
2017
Master's thesis Mathematics Education MA502 - University of Agder 2017 This study is titled “On concept images of monotonicity of Finnish secondary students – with comparison and reference to tertiary students”. The aim is to examine: (1) What kind of aspects of monotonicity are present and, possibly, dominant in the upper secondary school students’ (advanced level) concept images? (2) What are the most typical misconceptions and deficiencies in mathematical reasoning that the participants have concerning monotonicity? (3) To what extent do the results and answers to (1) and (2) compare with the results of university students? This thesis makes use of the study of Tossavainen, Haukkanen and…