Change search
Link to record
Permanent link

Direct link
Publications (10 of 47) Show all publications
Merikoski, J. K., Haukkaneny, P. & Tossavainen, T. (2023). A Note On Perpendicularities And Inner Products. Applied Mathematics e-notes, 23, 459-464
Open this publication in new window or tab >>A Note On Perpendicularities And Inner Products
2023 (English)In: Applied Mathematics e-notes, E-ISSN 1607-2510, Vol. 23, p. 459-464Article in journal (Refereed) Published
Place, publisher, year, edition, pages
National Tsing Hua University, 2023
National Category
Mathematics Didactics
Research subject
Mathematics and Science Education
Identifiers
urn:nbn:se:ltu:diva-101730 (URN)2-s2.0-85174584792 (Scopus ID)
Note

Validerad;2023;Nivå 2;2023-10-19 (hanlid)

Available from: 2023-10-19 Created: 2023-10-19 Last updated: 2024-01-11Bibliographically approved
Tossavainen, T. (2023). Cryptography based on algebraic perpendicularities. Mathematical Gazette, 107(568), 65-69
Open this publication in new window or tab >>Cryptography based on algebraic perpendicularities
2023 (English)In: Mathematical Gazette, ISSN 0025-5572, Vol. 107, no 568, p. 65-69Article in journal (Refereed) Published
Abstract [en]

Cryptography, the mathematics of protecting secret or sensitive information, is a continuously evolving area of interest. A concrete example of this is the fact that worldwide spending on information security and risk management technology and services has been estimated to reach over $150 billion in 2021. Modern cryptography is actually not a single separate domain of mathematics but an advanced encryption scheme can be based on applications of results in number theory, such as the Euler–Fermat Theorem, or involve the discrete logarithm problem using either a primitive root of a large prime or an element of an elliptic curve over a prime field. In the background, probability theory, statistics, studies on computational models and finite geometries, etc. play a major role. Recent research has considered even DNA-based molecular cryptography systems.

Place, publisher, year, edition, pages
Cambridge University Press, 2023
National Category
Algebra and Logic
Research subject
Mathematics Education
Identifiers
urn:nbn:se:ltu:diva-95669 (URN)10.1017/mag.2023.8 (DOI)000936146200007 ()2-s2.0-85148604357 (Scopus ID)
Note

Validerad;2023;Nivå 2;2023-02-20 (hanlid)

Available from: 2023-02-20 Created: 2023-02-20 Last updated: 2023-05-17Bibliographically approved
Viholainen, A., Tossavainen, T. & Gröhn, J. (2023). Epistemological beliefs, motivational values, and study habits among students of tertiary mathematics. Eurasia Journal of Mathematics, Science and Technology Education, 19(5), Article ID em2269.
Open this publication in new window or tab >>Epistemological beliefs, motivational values, and study habits among students of tertiary mathematics
2023 (English)In: Eurasia Journal of Mathematics, Science and Technology Education, ISSN 1305-8215, Vol. 19, no 5, article id em2269Article in journal (Refereed) Published
Abstract [en]

Epistemological beliefs about the nature of mathematics affect how a student perceives mathematics in general, whereas high motivation for mathematics gives an individual a personal reason to study the subject. Epistemological beliefs and achievement motives are quite stable at individual level, but previous research has shown that there are significant differences across students with respect to them. This study concerns university students from three different study programs and investigates relations between the students' epistemological beliefs, motivational values, and study habits. The data were collected using a questionnaire and consist of responses from altogether 98 students studying mathematics courses at tertiary level. The study revealed that, when students are grouped according to their study programs, their motivational values vary across these groups more than their epistemological beliefs. The stability of epistemological beliefs was also verified in this study as the strengths of the beliefs hardly correlated with the number of passed credits or self-evaluated study success. However, several sum variables representing the motivational values and epistemological beliefs seem to predict certain study habits in linear regression models. These models can help us to design the teaching of mathematics courses favouring these study habits.

Place, publisher, year, edition, pages
Modestum Publishing Ltd, 2023
Keywords
epistemological beliefs, motivation, study habits, tertiary mathematics
National Category
Didactics Other Mathematics
Research subject
Mathematics Education
Identifiers
urn:nbn:se:ltu:diva-96355 (URN)10.29333/ejmste/13163 (DOI)2-s2.0-85153888048 (Scopus ID)
Note

Validerad;2023;Nivå 1;2023-04-11 (hanlid)

Available from: 2023-04-11 Created: 2023-04-11 Last updated: 2023-10-11Bibliographically approved
Haukkanen, P. & Tossavainen, T. (2023). Exploring Perpendicularity and Parallelism Through Play. Mathematics Magazine
Open this publication in new window or tab >>Exploring Perpendicularity and Parallelism Through Play
2023 (English)In: Mathematics Magazine, ISSN 0025-570X, E-ISSN 1930-0980Article in journal (Refereed) Epub ahead of print
Place, publisher, year, edition, pages
Taylor & Francis, 2023
National Category
Other Mathematics
Research subject
Mathematics and Science Education
Identifiers
urn:nbn:se:ltu:diva-102468 (URN)10.1080/0025570x.2023.2266334 (DOI)
Available from: 2023-11-15 Created: 2023-11-15 Last updated: 2023-11-15
Tossavainen, T. (2023). Matemaattisia keskusteluja tekoälyn kanssa – Onko ChatGPT:stä oppaaksi matematiikan oppimisessa?. Tieteessä tapahtuu, 41(2), 39-46
Open this publication in new window or tab >>Matemaattisia keskusteluja tekoälyn kanssa – Onko ChatGPT:stä oppaaksi matematiikan oppimisessa?
2023 (Finnish)In: Tieteessä tapahtuu, ISSN 0781-7916, Vol. 41, no 2, p. 39-46Article in journal (Other academic) Published
Abstract [fi]

Tekoäly on tulossa osaksi oppimisen arkea. Kävin keskusteluja tekoälyn kanssa muun muassa eräiden matemaattisten lauseiden todistamisesta selvittääkseni, miten tekoälyä voisi käyttää matematiikan oppimisen tukena. Millaisia mahdollisuuksia tai uhkakuvia tekoälyn käyttöön liittyy?

Place, publisher, year, edition, pages
Helsinki: Tieteellisten seurain valtuuskunta, 2023
National Category
Other Computer and Information Science
Research subject
Mathematics Education
Identifiers
urn:nbn:se:ltu:diva-96998 (URN)
Note

Godkänd;2023;Nivå 0;2023-05-03 (joosat);

Available from: 2023-05-03 Created: 2023-05-03 Last updated: 2023-05-03Bibliographically approved
Johansson, C., Juhlin, A., Tossavainen, T. & Wedestig, A. (2023). Nyfikenhet och otillräcklighet: Gymnasielärares erfarenheter av att undervisa matematik med programmering. Nämnaren : tidskrift för matematikundervisning, 49(3), 35-41
Open this publication in new window or tab >>Nyfikenhet och otillräcklighet: Gymnasielärares erfarenheter av att undervisa matematik med programmering
2023 (Swedish)In: Nämnaren : tidskrift för matematikundervisning, ISSN 0348-2723, Vol. 49, no 3, p. 35-41Article in journal (Other academic) Published
Abstract [sv]

En lärartanke: Det är konstigt att för att få undervisa i programmeringskurser krävs det 90 högskolepoäng men för att tillämpa programmering i matematikkurserna krävs ingen kunskap i programmering.

Place, publisher, year, edition, pages
Nationellt centrum för matematikutbildning (NCM), 2023
National Category
Didactics
Research subject
Mathematics and Science Education
Identifiers
urn:nbn:se:ltu:diva-101410 (URN)
Note

Godkänd;2023;Nivå 0;2023-09-22 (hanlid)

Available from: 2023-09-22 Created: 2023-09-22 Last updated: 2023-09-22Bibliographically approved
Stén, J. & Tossavainen, T. (2023). Osmo Pekonen (1960–2022). The Mathematical intelligencer, 45(1), 1-4
Open this publication in new window or tab >>Osmo Pekonen (1960–2022)
2023 (English)In: The Mathematical intelligencer, ISSN 0343-6993, E-ISSN 1866-7414, Vol. 45, no 1, p. 1-4Article in journal, Editorial material (Other academic) Published
Place, publisher, year, edition, pages
Springer Nature, 2023
National Category
Other Mathematics
Research subject
Mathematics Education
Identifiers
urn:nbn:se:ltu:diva-95761 (URN)10.1007/s00283-023-10263-9 (DOI)000941079600001 ()
Note

Godkänd;2023;Nivå 0;2023-04-20 (hanlid)

Available from: 2023-03-01 Created: 2023-03-01 Last updated: 2023-04-20Bibliographically approved
Tossavainen, T., Nevanlinna, H. & Jumppanen, P. (2023). To­sie­lä­män fy­siik­kaa – Ener­gia­ta­lou­del­li­nen kat­saus Suo­men ja Eu­roo­pan lä­hi­tu­le­vai­suu­teen. Dimensio
Open this publication in new window or tab >>To­sie­lä­män fy­siik­kaa – Ener­gia­ta­lou­del­li­nen kat­saus Suo­men ja Eu­roo­pan lä­hi­tu­le­vai­suu­teen
2023 (Finnish)In: Dimensio, ISSN 2669-8382Article in journal (Other (popular science, discussion, etc.)) Published
Abstract [fi]

Energiateollisuus on eräs suurimmista luonnontieteiden sovellusaloista nykymaailmassa. Tämän alan kehitys on ratkaisevassa roolissa myös ilmastonmuutoksen vastaisessa globaalissa taistelussa. Tähän artikkeliin on koottu erityisesti lukion fysiikan opettajille tietopaketti energian tuotannosta ja kulutuksesta. Kirjoituksen lopussa on myös lukiolaisille sopia tehtäviä, joiden avulla voi konkretisoida energiantuotannon suuruusluokkaa, haasteita ja mahdollisuuksia. 

Place, publisher, year, edition, pages
MAOL Association, 2023
National Category
Pedagogy
Research subject
Mathematics Education
Identifiers
urn:nbn:se:ltu:diva-98159 (URN)
Note

Godkänd;2023;Nivå 0;2023-06-12 (joosat);

Available from: 2023-06-12 Created: 2023-06-12 Last updated: 2023-09-12Bibliographically approved
Tossavainen, T., Haukkanen, P., Merikoski, J. K. & Mattila, M. (2023). We Can Differentiate Numbers, Too. The College Mathematics Journal
Open this publication in new window or tab >>We Can Differentiate Numbers, Too
2023 (English)In: The College Mathematics Journal, ISSN 0746-8342, E-ISSN 1931-1346Article in journal (Refereed) Epub ahead of print
Abstract [en]

We survey the history of the arithmetic derivative and more recent advances in research on this topic. Among other things, we discuss a few generalizations of the original arithmetic derivative and some arithmetic differential equations that are related to Goldbach’s conjecture and the twin prime conjecture. Our primary purpose is to give an overview of this field, but we also aim at providing supplementary material for an introductory course on discrete mathematics or number theory. Therefore, our survey contains ten exercises.

Place, publisher, year, edition, pages
Taylor & Francis, 2023
National Category
Discrete Mathematics
Research subject
Mathematics and Science Education
Identifiers
urn:nbn:se:ltu:diva-102515 (URN)10.1080/07468342.2023.2268494 (DOI)2-s2.0-85176120072 (Scopus ID)
Available from: 2023-11-20 Created: 2023-11-20 Last updated: 2023-11-20
Tossavainen, T. & Haukkanen, P. (2022). Corrigendum to “On the dimension of an Abelian group” [Notes on Number Theory and Discrete Mathematics, 2021, Volume 27, Number 4, Pages 267—275]. Notes on Number Theory and Discrete Mathematics, 28(1), 20-20
Open this publication in new window or tab >>Corrigendum to “On the dimension of an Abelian group” [Notes on Number Theory and Discrete Mathematics, 2021, Volume 27, Number 4, Pages 267—275]
2022 (English)In: Notes on Number Theory and Discrete Mathematics, ISSN 1310-5132, Vol. 28, no 1, p. 20-20Article in journal (Other academic) Published
Place, publisher, year, edition, pages
Bulgarian Academy of Science, 2022
National Category
Algebra and Logic
Research subject
Mathematics Education
Identifiers
urn:nbn:se:ltu:diva-89123 (URN)10.7546/nntdm.2022.28.1.20 (DOI)000752395900002 ()
Note

Correction to: Tossavainen, T., & Haukkanen, P. (2021). On the dimension of an Abelian group. Notes on Number Theory and Discrete Mathematics, 27(4), 267–275. https://doi.org/10.7546/nntdm.2021.27.4.267-275

Available from: 2022-02-07 Created: 2022-02-07 Last updated: 2022-12-20Bibliographically approved
Organisations
Identifiers
ORCID iD: ORCID iD iconorcid.org/0000-0002-7494-4632

Search in DiVA

Show all publications