Trist om matematikk

Skrevet av Kari Hag - 03.mar.2006 @ 16:26

 
Mange av dere har antagelig lest oppgave 7 i Norsk Matematikkråds undersøkelse blant begynnerstudenter: "På Dahl skole er det 135 jenter og 115 gutter. Hvor mange prosent av elevene er jenter?" Denne oppgaven har hatt størst tilbakegang av samtlige oppgaver på testen og har vært identisk fra undersøkelsen startet i 1984 og fram til i høst. Oppgaven er nå nede i en skårprosent på så vidt over 40.
 
Aviser fra Aftenposten til Gudbrandsdølen har hatt til dels store oppslag om den vanskelige "barnematten" de siste dagene. Norsk Matematikkråds rapport, uten vedlegg, finnes på rådets hjemmeside og kan lastes ned fra  www.mi.uib.no/nmr/rapport2005/NMRRapportH2005.pdf
Jeg noterer meg at Aftenpostens oppslag om saken har trigget 133 kommentarer i skrivende/bloggende stund!

Noe av det tristeste fra undersøkelsen, sett med mine øyne, er at begynnerstudentene på siv.ing. har så mye dårligere elementærkunnskaper i matematikk enn før. Her finner vi den største tilbakegangen. I gjennomsnitt svarte våre siv.ing. studenter ved høstens studiestart rett på 62.5% av  de 22 oppgavene, mens tilsvarende prosent for årene 2000 og 1984 er 77.3% og 84.4%. I år blir vi også for første gang slått av studentene ved NHH selv om forskjellen er så liten at den antagelig ikke er statistisk signifikant.
 
Da er det kjedelig at NTNU foreløpig ikke får sette karakterkrav på fire eller bedre i 3MX fra videregående skole. Se artikkelen  fra 01.03 .06  "Nei til skjerpa opptakskrav" på www.universitetsavisa.no.
Personlig skulle jeg ønske at vi fikk kravet fire eller bedre på både 3MX og 2FY som er de spesielle studiekravene for opptak til siv.ing. Er ikke det det mest logiske? Er disse fagene viktige på siv.ing., så er de viktige! Det er ikke nok bare å ha bestått da.
 
34570-3
"Vil fjerne kalkulatoren" er dagens oppslag i Aftenposten, http://forbruker.no/jobbogstudier/studier/article1239270.ece. Det pekes på at de som skåret høyest på Norsk Matematikkråds test er de som bruker kalkulator bare av og til. Testen er UTEN kalkulator, så det er ikke rart at de som har gjort seg til slave av kalkulatoren skårer dårligere! Men de som bruker kalkulatoren "bare av og til" gjør det også bedre enn de som bruker den "aldri eller nesten aldri". De siste utgjør en liten gruppe og er kanskje eldre, mer rustne studenter?
 
De fleste er vel enige om at det er nyttig å kunne regne litt i hodet, ha en følelse for brøker og nuller og være i stand til å gjøre noen overslag. Onsdag hadde linjeforeninga til lærerutdanningsprogrammet vårt, Spanskrøret, møte i Kjelhuset med brus og pizza. Jeg kvitterte ut regningen, men så ikke tallet skikkelig i halvmørket. Men jeg syntes jeg leste 2100 kr, så hadde jeg fått kassalappen til noen andre montro? Vi var tross alt 46 nokså sultne personer som hadde hatt rikelig med pizza og en brus hver. Det viste seg at vi hadde fått 46 flasker brus til 0.01kr flaska. Da bør det ringe noen bjeller!
 
Vi har altså et lærerutdanningsprogram i realfag ved NTNU med IME-fakultetet som vertsfakultet. Dette programmet ser ut til å være vellykket og tiltrekke seg dyktige studenter. Så kanskje det er håp om en bedre skole snart? Se http://www.adressa.no/nyheter/article600173.ece
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Kommentarer:
Postet av: Erik

Vel, jeg har sett gamle matematikk boka fra 1974 til 1982 og gjennom alle løes oppgave og letter å forstår med en gang. Men modern matematikk bruke mye vanskelig ord som barne forstår ikke hva mener spørsmål. Jeg synes det er uheldig at forfatter lage vanskelig språk. Jeg synes det er best at barnehagen skal undervise lett matematikk slik barne forstår det. Samtidlig Jeg advart lærer på ingeniørhøyskolen har gjort fort gjennom mange kaptial, slik mange elever kom flere og flere stryke eksamen.Jeg tror mest årsaker er ugdomskolen kom dårligst undervise matte.
Hvorfor ikke liten og stor bedrift kan finasering til å betaler privat ingeniør som kan undervise en eller to kveld,noen som veldig matematikk og fysikk for ungdom.

06.mar.2006 @ 17:24
Postet av: Ruben Ayala

Vel, Erik, med det navnet regner med at du er noe i nærheten av rotnorsk. Det språket du presterer i kommentaren din er faktisk vel så skremmende som de synkende mattkunnskapene til dagens siv.ing.-spirer. Det er faktisk så langt over toppen, at du neppe kan være ironisk, heller.

07.mar.2006 @ 09:20
Postet av: Jostein

Ruben,

Jeg synes ikke du skal hetse utlendinger som skriver norsk. Det er da åpenbart at Erik er engelskspråklig!

08.mar.2006 @ 15:08
Postet av: Nisselua

"I år blir vi også for første gang slått av studentene ved NHH selv om forskjellen er så liten at den antagelig ikke er statistisk signifikant."

Ikke helt presis begrepsbruk av artikkelforfatteren her. Dersom alle studenter ved de to høyskolene tok prøven og NHH hadde en høyere poengsum så VAR faktisk NHH studentene bedre enn NTNU studentene på denne prøven. Quad erat demonstrandum...

Statistisk signifikans blir først relevant dersom tilsvarende prøve skulle gjentas en rekke ganger, og hvor man ved hjelp av variansen i scoren til de to høyskolene kan bestemme et konfidensintervall for deres sannsynlige "sanne" gjennomsnitt, og derigjennom en sannsynlighet for at NTNU studentene, over tid, faktisk ville være bedre enn NHH studentene allikevel, selv om de altså ikke var det ved dette ene tilfellet. Selv uten tilgang til datagrunnlaget kan man imidliertid trekke den konklusjon at sannynligheten for dette er under 50%...

Trøsten får være at scoren ved neste års prøve ikke har noe med årets prøve å gjøre, da man litt spøkefullt kan si at man her har å gjøre med en slags trekning uten tilbakelegging... med mindre noen av studentene er så dårlige at de dumper og må ta prøven på nytt igjen, da.

Blir det da meningsløst å søke å predikere neste års resultat basert på forlengelse av trender? Antageligvis ikke, siden de forhold som har resultert i trenden antageligvis både har langsiktig påvirkningskraft og samtidig neppe lar seg endre i løpet av bare ett års tid. Men på lang sikt er det vel håp at nasjonen igjen kan glede seg over ingeniørstudenter som kan elementær prosentregning...

18.mar.2006 @ 20:46
Postet av: Hans Kristian

Hei, Nisselua.
Bare en kommentar. Jeg synes det går an å snakke om statistisk signifikans på disse testene. Det man gjør da er å se på gjennomsnittstudentene ved de to høyskolene. Sålenge man har en gjennomsnittsscore og antall studenter i undersøkelsene er større enn 2 kan man beregne et standardavvik for gjennomsnittet. Så kan man kontrollere om det er statistisk signifikans for hypotesen om at gjennomsnittsstudenten ved NHH var bedre enn gjennomsnittsstudenten ved NTNU. =)

Problemet med matematikk i skolen føler jeg i stor grad henger sammen med 'enhetsskolen' som ikke lar flinke elever utvikle seg siden undervisningen må ta hensyn til de svake elevenes tempo. Problemet kunne nok løst seg selv hvis Matte fikk en høy status, men jeg tror at dette ikke vil endre seg på mange, mange år. Den alternative måten vil være å dele inn elever etter de som interesserer seg for faget og de som ikke gjør det. Skaper man så tapere? Jeg syns ikke det, for det virker jo ikke som mattegeniene har noe særlig hell med damene da. :-)

Økt fokus på hoderegning høres veldig bra ut!

22.mar.2006 @ 03:10
Postet av: Magnus Holla Sivertsen

Matematikk er gøy!

Vi har også et holdningsproblem når det gjelder matematikk. Hvilke signaler er det som sendes til den yngste generasjonen? De siste årene har det ikke vært veldig mye positivt om matematikk, det har vært regnet som nerdete, sært og andre lite oppbyggelige sammenlikninger. Det er dog i ferd med å snu, men det er fortsatt viktig at vi forteller barna at matematikk er gøy, interessant og viktig for å forstå hvordan verden henger sammen.

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