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Heidtmann, Pia
Publications (3 of 3) Show all publications
Heidtmann, P. & Jaldemark, J. (2018). Diskret matematik på distans. In: Stefan Hrastinski (Ed.), Digitalisering av högre utbildning: (pp. 215-219). Lund: Studentlitteratur AB
Open this publication in new window or tab >>Diskret matematik på distans
2018 (Swedish)In: Digitalisering av högre utbildning / [ed] Stefan Hrastinski, Lund: Studentlitteratur AB, 2018, p. 215-219Chapter in book (Other academic)
Abstract [sv]

I detta kapitel beskrivs en nätbaserad matematikkurs med stödmaterial, såsom datorrättade quiz, diskussionsforum, inspelade föreläsningar och nätbaserade träffar samt nätbaserad examination. Det överordnade målet är att skapa en lärgemenskap. 

Place, publisher, year, edition, pages
Lund: Studentlitteratur AB, 2018
Keywords
distans, digitalisering, högre utbildning, matematik
National Category
Pedagogy
Identifiers
urn:nbn:se:miun:diva-35006 (URN)978-91-44-11972-4 (ISBN)
Available from: 2018-12-03 Created: 2018-12-03 Last updated: 2018-12-05Bibliographically approved
Johansson, H., Österholm, M., Flodén, L. & Heidtmann, P. (2018). Teachers’ and students’ perception of the gap between secondary and tertiary mathematics. In: Bergqvist, E., Österholm, M., Granberg, C., & Sumpter, L. (Ed.), Proceedings of the 42nd Conference of the International Group for the Psychology of Mathematics Education: . Paper presented at The 42nd Conference of the International Group for the Psychology of Mathematics Education, Umeå, Sweden, July 3-8, 2018 (pp. 77-77). Umeå, Sweden: PME, 5
Open this publication in new window or tab >>Teachers’ and students’ perception of the gap between secondary and tertiary mathematics
2018 (English)In: Proceedings of the 42nd Conference of the International Group for the Psychology of Mathematics Education / [ed] Bergqvist, E., Österholm, M., Granberg, C., & Sumpter, L., Umeå, Sweden: PME , 2018, Vol. 5, p. 77-77Conference paper, Oral presentation with published abstract (Refereed)
Place, publisher, year, edition, pages
Umeå, Sweden: PME, 2018
National Category
Educational Sciences
Identifiers
urn:nbn:se:miun:diva-36816 (URN)
Conference
The 42nd Conference of the International Group for the Psychology of Mathematics Education, Umeå, Sweden, July 3-8, 2018
Available from: 2019-08-12 Created: 2019-08-12 Last updated: 2019-08-13Bibliographically approved
Nilson, T. & Heidtmann, P. (2014). Inner balance of symmetric designs. Designs, Codes and Cryptography, 71(2), 247-260
Open this publication in new window or tab >>Inner balance of symmetric designs
2014 (English)In: Designs, Codes and Cryptography, ISSN 0925-1022, E-ISSN 1573-7586, Vol. 71, no 2, p. 247-260Article in journal (Refereed) Published
Abstract [en]

A triple array is a row-column design which carries two balanced incomplete block designs (BIBDs) as substructures. McSorley et al. (Des Codes Cryptogr 35: 21–45, 2005), Section 8, gave one example of a triple array that also carries a third BIBD, formed by its row-column intersections. This triple array was said to be balanced for intersection, and they made a search for more such triple arrays among all potential parameter sets up to some limit. No more examples were found, but some candidates with suitable parameters were suggested. We define the notion of an inner design with respect to a block for a symmetric BIBD and present criteria for when this inner design can be balanced. As triple arrays in the canonical case correspond to SBIBDs, this in turn yields new existence criteria for triple arrays balanced for intersection. In particular, we prove that the residual design of the related SBIBD with respect to the defining block must be quasi-symmetric, and give necessary and sufficient conditions on the intersection numbers. This, together with our parameter bounds enable us to exclude the suggested triple array candidates in McSorley et al. (Des Codes Cryptogr 35: 21–45, 2005) and many others in a wide search. Further we investigate the existence of SBIBDs whose inner designs are balanced with respect to every block. We show as a key result that such SBIBDs must possess the quasi-3 property, and we answer the existence question for all known classes of these designs.

Place, publisher, year, edition, pages
Springer, 2014
Keywords
Symmetric design, Triple array, Balanced for intersection, Quasi-3 design, Inner design with respect to a block, Quasi-symmetric design
National Category
Discrete Mathematics
Identifiers
urn:nbn:se:miun:diva-14627 (URN)10.1007/s10623-012-9730-2 (DOI)000332869500004 ()2-s2.0-84897042423 (Scopus ID)
Projects
Inner balance of designs
Note

Published online july 2012

Available from: 2011-10-21 Created: 2011-10-21 Last updated: 2017-05-04Bibliographically approved
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