Search results for "VDP::Matematikk og naturvitenskap: 400::Matematikk: 410"
showing 10 items of 136 documents
Grade 8 students appropriating Sankey diagrams: The first cycle in an educational design research
2022
Many students do not experience usefulness in mathematics. To address this problem, we offered them a mathematical tool, Sankey diagrams, which is a flow chart appearing in news media to visualize social, industrial or environmental processes. We carried out an Educational Design Research (EDR) to develop and evaluate lesson materials about contextualized Sankey diagrams. We tested these materials with a class of grade 8 students and evaluated these on the feasibility of students’ appropriation of the diagrams. In the lesson, we observed how students were able to read the Sankey diagrams, liked the societal processes visualized, yet did not fully grasp their mathematical properties. However…
Abstraction and embodiment: exploring the process of grasping a general
2022
AbstractThis paper reports from a case study which explores kindergarten children’s mathematical abstraction in a teaching–learning activity about reflection symmetry. From a dialectical perspective, abstraction is here conceived as a process, as a genuine part of human activity, where the learner establishes “a point of view from which the concrete can be seen as meaningfully related” (van Oers & Poland Mathematics Education Research Journal, 19(2), 10–22, 2007, p. 13–14). A cultural-historical semiotic perspective to embodiment is used to explore the characteristics of kindergarten children’s mathematical abstraction. In the selected segment, two 5-year-old boys explore the concept of…
A transition to online teaching and learning of mathematics in Norwegian higher education institutions: the perspectives of lecturers and students
2022
Abstract This paper reports a study of university lecturers’ and students’ experiences of teaching and learning mathematics following the abrupt requirement to switch to online teaching in 2020. A goal of the study is to share experiences that could be useful to improve the teaching and learning of mathematics in online settings. The qualitative research described is a phenomenological study and draws on interviews with ten mathematics lecturers and six undergraduate students who were enrolled in at least one university mathematical course during the lockdown in 2020. The interview data were analysed using a thematic approach. This paper reports findings regarding perceptions of lecturers a…
Critical stance within a community of inquiry in an advanced mathematics course for pre-service teachers
2020
AbstractThis paper reports a study of university students’ experiences of learning mathematics in an introductory differential equations course that takes an inquiry approach to learning and teaching. The students are on a trajectory leading toward a bachelor’s degree in mathematics to be followed by a year-long teacher education credential program. The analysis of students’ end of course presentations and written portfolios is framed with community of practice theory, complemented with analytic categories from community of inquiry, including notions of inquiry stance and critical alignment. Our social theorization of university mathematics education adds a complementary perspective to the …
A letter from Malevich to Semevsky about Kovalevskaya
2022
Abstract The biographical literature on Sofya Vasilyevna Kovalevskaya has to a large extent relied on her own memoirs, published in Vestnik Evropy only months before her death, and an autobiographical story published posthumously in Russkaya Starina. In this paper we present and discuss the full Russian text with English translation of a letter, previously unpublished, from Kovalevskaya's teacher in childhood and adolescence, Iosif Ignatyevich Malevich, to the editor of Russkaya Starina, Mikhail Ivanovich Semevsky, in which he repudiates her depreciation of his role in her schooling, criticizes her self-portrayal, and provides information about her early education which runs counter to part…
Sliding Intermittent Control for BAM Neural Networks with Delays
2013
Published version of an article in the journal: Abstract and Applied Analysis. Also available from the publisher at: http://dx.doi.org/10.1155/2013/615947 Open Access This paper addresses the exponential stability problem for a class of delayed bidirectional associative memory (BAM) neural networks with delays. A sliding intermittent controller which takes the advantages of the periodically intermittent control idea and the impulsive control scheme is proposed and employed to the delayed BAM system. With the adjustable parameter taking different particular values, such a sliding intermittent control method can comprise several kinds of control schemes as special cases, such as the continuou…
Sampled-Data Control of Spacecraft Rendezvous with Discontinuous Lyapunov Approach
2013
Published version of an article in the journal: Mathematical Problems in Engineering. Also available from the publisher at: http://dx.doi.org/10.1155/2013/814271 Open Access This paper investigates the sampled-data stabilization problem of spacecraft relative positional holding with improved Lyapunov function approach. The classical Clohessy-Wiltshire equation is adopted to describe the relative dynamic model. The relative position holding problem is converted into an output tracking control problem using sampling signals. A time-dependent discontinuous Lyapunov functionals approach is developed, which will lead to essentially less conservative results for the stability analysis and control…
Observer-based sliding mode control for stabilization of a dynamic system with delayed output feedback
2013
Published version of an article in the journa: Mathematical Problems in Engineering. Also available from the publisher at: http://dx.doi.org/10.1155/2013/537414 Open Access This paper considers the sliding mode control problem for a kind of dynamic delay system. First by utilizing Lyapunov stability theory and a linear matrix inequality technique, an observer based on delayed output feedback is constructed. Then, an integral sliding surface is presented to realize the sliding mode control for the system with the more available stability condition. Finally, some numerical simulations are implemented to demonstrate the validity of the proposed control method.
Dynamic Output-Feedback Passivity Control for Fuzzy Systems under Variable Sampling
2013
Published version of an article in the journal: Mathematical Problems in Engineering. Also available from the publisher at: http://dx.doi.org/10.1155/2013/767093 Open Access This paper concerns the problem of dynamic output-feedback control for a class of nonlinear systems with nonuniform uncertain sampling via Takagi-Sugeno (T-S) fuzzy control approach. The sampling is not required to be periodic, and the state variables are not required to be measurable. A new type fuzzy dynamic output-feedback sampled-data controller is constructed, and a novel time-dependent Lyapunov-Krasovskii functional is chosen for fuzzy systems under variable sampling. By using Lyapunov stability theory, a sufficie…
IKT som læringsverktøy i matematikk : en studie av lærer- og elevrollen ved bruk av TI Interactive (og andre programmer) i 4 matematikklasser i vider…
2006
Masteroppgave i matematikkdidaktikk 2006 - Høgskolen i Agder, Kristiansand Temaet for masteroppgaven er en studie i hvordan bruk av IKT påvirker og forandrer læringsmiljøet i matematikk. Jeg har undersøkt anvendelsen av CAS-programmene TI Interactive (og Derive) i fire klasser på to videregående skoler, og prøvd å dokumentere hvordan slike dataprogram nyttes for å fremme matematisk forståelse. Bruken av CAS-verktøyet er studert ut fra både lærer- og elevperspektiv. Problemstilling: • Hvilke pedagogiske overveielser gjør læreren når han bruker IKT-programmet TI Interactive (og ev. andre programmer) som verktøy i læringsprosessen? • Hvordan lærer elevene matematikk ved hjelp av IKT-programmet…