Search results for "aritmetiikka"

Rigidité, comptage et équidistribution de chaînes de Cartan quaternioniques

2020

We prove an analog of Cartan's theorem, saying that the chain-preserving transformations of the boundary of the quaternionic hyperbolic spaces are projective transformations. We give a counting and equidistribution result for the orbits of arithmetic chains in the quaternionic Heisenberg group.; Nous montrons un analogue d'un théorème de Cartan, disant que les transformations préservant les chaînes sur le bord d'un espace hyperbolique quaternionien est une transformation projective. Nous donnons un résultat de comptage et d'équidistribution pour une orbite de chaînes arithmétiques dans le groupe de Heisenberg quaternionique.

Achievement emotions and arithmetic fluency : Development and parallel processes during the early school years

2023

This study investigated the developmental trajectories and interrelationships of mathematics-related achieve-ment emotions and arithmetic fluency from first to third grade, and the effects of these on third grade mathe-matics performance. Participants were 232 Norwegian students. Students' emotions and arithmetic fluency were measured four times and mathematics performance once. Applying latent growth curve modeling, developmental patterns of decreasing enjoyment and increasing boredom were observed over time. The mean level of enjoyment remained fairly high, and of both boredom and anxiety quite low. Individual differences were observed in both the initial levels and development of all emo…

Individuality in the Early Number Skill Components Underlying Basic Arithmetic Skills

2018

Individuality in the Early Number Skill Components Underlying Basic Arithmetic Skills

2018

Early number skills underlie success in basic arithmetic. However, very little is known about the skill profiles among children in preprimary education and how the potential profiles are related to arithmetic development. This longitudinal study of 440 Finnish children in preprimary education (mean age: 75 months) modeled latent performancelevel profile groups for the early number skill components that are proposed to be key predictors of arithmetic (symbolic number comparison, mapping, and verbal counting skills). Based on three assessment time points (September, January, and May), four profile groups were found: the poorest-performing (6%), low-performing (16%), nearaverage-performing (33…

Mistä on matematiikan oppitunti tehty - etnografinen tapaustutkimus matematiikan opettamisesta 4. luokalla

2001

Cognitive Skills, Math-Related Emotions, and Beliefs Explaining Response to Arithmetic Fluency Intervention

2023

We examined the associations of cognitive skills, math-related emotions and beliefs, and gender with responses to an arithmetic fluency intervention. Elementary school children with dysfluent arithmetic skills (N=69) participated in an arithmetic fluency intervention (with and without self-efficacy support) implemented in small groups in schools for 12 weeks. Hierarchical regression models including cognitive skills or math-related emotions and beliefs predicted 21% to 50% of the variation in the intervention response, i.e., improvement in arithmetic fluency. Cognitive skills were associated with the response mainly among boys, whereas math-related emotions and beliefs explained more among …

Prematurity and overlap between reading and arithmetic: The cognitive mechanisms behind the association

2019

It is well-known that very preterm children perform at lower levels than full-term children in reading and arithmetic at school. Whether the lower performance levels of preterm children in these two separate domains have the same or different origins, however, is not clear. The present study examined the extent to which prematurity is associated with the overlap (i.e., common variance) of reading and arithmetic among Finnish school beginners. We also examined the extent to which the association of prematurity with the overlap between reading and arithmetic is due to different prereading skills, basic number skills, and general cognitive abilities. The participants (age 6-7) consisted of 193…

Diagnostinen kuntoutustutkimus kehityksellisessä dyskalkuliassa; tapaustutkimus

2002

Matemaattisesti haasteelliset koulutulokkaat : näkökulmia pitkälle edistyneiden ensiluokkalaisten huomioimiseen

2008

Laskutehtävien suorittamisesta käsitteiden ymmärtämiseen : peruskoululaisen matemaattisen ajattelun kehittyminen aritmetiikasta algebraan siirryttäes…

2005

Kauko Hihnala tutki väitöstyössään peruskoulun matematiikan opiskelun ongelmia 6.-9. luokkalaisilla, erityisesti verrannollisuuden ja algebran alueilla. Hän huomasi, että oppilaiden peruslaskutaidot paranivat tasaisesti kuudennen luokan alusta yhdeksännen luokan loppuun asti. Kuitenkin monet yhdeksäsluokkalaiset tekivät mm. murtolukulaskuissa samoja alkeellisia virheitä kuin kuudesluokkalaiset. Oppilaskohtaiset suoritustason muutokset neljän vuoden seurannan aikana olivat huomattavia. Esimerkiksi kuudennen luokan alussa hyvin matematiikkaa osaavista vain puolet oli samalla tasolla peruskoulun päättyessä. Vastaava havainto tehtiin heikosti matematiikkaa osaavista.Suomen peruskoululaisten mat…