83:T616,

Linjär algebra Grundkurs erbjuder det kompletta materialet till den första kursen i linjär algebra vid universitet och tekniska högskolor. Boken behandlar matriser, determinanter, teorin för linjära ekvationssystem, vektorer, koordinatsystem, skalär och vektorprodukt, linjära avbildningar, linjer och plan i rymden samt andragradskurvor.

Dessa är grundläggande för all högre matematik och framför allt för alla matematiska tillämpningar i teknik, naturvetenskap och ekonomi. Boken är lättsamt, omsorgsfullt och utförligt skriven. Den startar med för studenten nya begrepp, som matriser och determinanter, och landar i intrikata tillämpningar av dessa i verkligheten.

Sagt om boken
[...] Boken är mycket trevligt disponerad och skriven på ett lättsamt sätt vilket gör den lättläst. Figurerna är bra och tydliga och det finns många exempel med lösningar. Till varje kapitel hör även övningar med utförliga svar och anvisningar [...]". Michaël Norberg, lektör, BTJ-häftet nr 19, 2017.

Om författarna
Rikard Bøgvad är professor och har som huvudsakliga forskningsintressen potentialteori och algebraisk geometri. Han har mångårig erfarenhet av att undervisa i linjär algebra. Paul Vaderlind är universitetslektor och fördjupar sig i diskret matematik. Han har skrivit ett tjugotal böcker om problemlösning och är dessutom mångårig lagledare för det svenska olympiadlaget i matematik. Båda författarna är verksamma vid Matematiska institutionen, Stockholms universitet.

84:T651,Träning i matematisk problemlösning ger kunskap om tänkbara lösningsstrategier, systematiskt utnyttjande av ett analytisk tänkande, korrekt argumentation och motivering av varje steg i en slutledning. Dessa färdigheter har man nytta av inte bara i matematiska sammanhang utan i en mängd olika situationer i livet.

Matematiska utmaningar - en kurs i problemlösning ges vid Stockholms universitet och denna bok följer kursens upplägg. Boken är indelad i fjorton mer eller mindre självständiga kapitel. Tanken är att man ska kunna läsa ett kapitel utan att man för den delen behöver ha läst de tidigare. Bokens innehåll kan indelas i fyra grupper: talteori, algebra, kombinatorik samt geometri. Varje kapitel avslutas med ett antal uppgifter i varierande svårighetsgrad för självständig lösning. De flesta uppgifter kommer från diverse nationella och internationella matematiktävlingar runt om i världen. Mer om själva kursens upplägg kan man finna på http://problem.math.su.se.

Andra upplagan är utökad med ytterligare två kapitel, ett som handlar om grafteori och ett om talteori, som båda innehåller flera nyttiga hjälpmedel och strategier för problemlösning.

Boken vänder sig främst till elever på gymnasienivå, studenter vid universitet och högskola inom naturvetenskaper, ingenjörsprogram, teknik, nationalekonomi och företagsekonomi samt till lärare som vill komplettera sin lärarutbildning i matematik. Boken kan även rekommenderas till allmänt matematiskt intresserade som vill utveckla sin problemlösningsförmåga.

85:T51d,

Kluringar är en samling matematiska problem, gåtor och tankenötter skrivna av Paul Vaderlind. I serien ingår de fyra kopieringsunderlagen Kluringar 1-4. Kluringar 1 är lättast och i de följande häftena stiger svårighetsgraden successivt. Ett urval av dessa kluringar finns i böckerna Kluringar 100+1 och Kluringar 100+2, så att man lätt kan ta dem med sig till soffan eller hängmattan.

Kluringar 100+1 innehåller ett urval (101 st) av de kluringar som finns i kopieringsunderlaget Kluringar 1 och 2. Mellanstadiets matematik är tillräcklig som förkunskap. I första delen presenteras samtliga problem. Till en del av problemen finns det ledtrådar som är samlade i andra delen. De problem som det finns ledtrådar till är markerade med L efter problemets nummer. Utförliga lösningar och svar finns i den tredje delen.

Kluringar 100+1 passar för dig som

vill träna problemlösning i hängmattan eller soffan
gillar lekfull matematik

Författaren Paul Vaderlind är lektor i matematik vid Stockholms Universitet. Han har skrivit en mängd böcker för både barn och vuxna, och är expert på Sudoku och andra sifferpussel. Förutom arbetet på universitetet har han engagerat sig i matematiktävlingar för ungdomar.

86:T61c,

Kluringar 4 innehåller 125 kluringar som passar bra för elever på högstadiet och gymnasieskolan. Högstadiets matematik är tillräcklig som förkunskap. I första delen presenteras samtliga problem. Till en del av problemen finns det ledtrådar som är samlade i andra delen. De problem som det finns ledtrådar till är markerade med L efter problemets nummer. Utförliga lösningar och svar finns i den tredje delen. Det finns även separata arbetsblad på den medföljande cd-skivan. Här kan du skriva ut varje problem för sig med tillhörande ledtrådar och svar.

Kluringar 4 passar för dig som

vill ge dina elever träning i problemlösning, utan att tröskeln blir för hög
gillar lekfull matematik
vill ha ett lättanvänt material som sparar tid och ger variation i matematikundervisningen

87:T61e,

Kluringar 1 innehåller 125 kluringar som passar bra för elever på högstadiet och gymnasieskolan. Mellanstadiets matematik är tillräcklig som förkunskap. I första delen presenteras samtliga problem. Till en del av problemen finns det ledtrådar som är samlade i andra delen. De problem som det finns ledtrådar till är markerade med L efter problemets nummer. Utförliga lösningar och svar finns i den tredje delen. Det finns även separata arbetsblad på den medföljande cd-skivan. Här kan du skriva ut varje problem för sig med tillhörande ledtrådar och svar.

Kluringar 1 passar för dig som

vill ge dina elever träning i problemlösning, utan att tröskeln blir för hög
gillar lekfull matematik
vill ha ett lättanvänt material som sparar tid och ger variation i matematikundervisningen

88:Tdfc,

Det är så vi har tänkt när vi skapat Levande matematik
Här presenteras matematiken i form av olika intressanta och verkligen miljöer, och eleverna väljer själva vilka miljöer de vill arbeta med. Genom de olika aktiviteter som finns i varje kapitel ser vi till att de får chans att arbeta och tänka på olika sätt.

Så här funkar levande matematik:

Startuppslag
Varje kapitel inleds med en inspirerande aktivitet. Detta aktiva, undersökande arbetssätt finns på flera ställen i kapitlet. På startuppslaget presenteras även kapitlets kunskapsmål.

Bas
Efter startaktiviteten gör alla elever Bas. Här får eleverna den matematiska grunden inför det fortsatta arbetet. Om eleverna stöter på problem när de arbetar kan de vända sig till de Miniteorier som ligger intill vissa uppgifter. Om hjälpen i Miniteorierna inte räcker kan eleven bläddra till Teoriguiden längst bak i boken. Här finns tydliga genomgångar, kopplade till varje moment i Bas.

Miljö 1 eller 2
Nästa steg är att välja en Miljö. Miljöerna har likvärdiga matematiska innehåll, så eleven kan välja fritt utifrån intresse. Även här finns Miniteorier, samt hänvisningar till Teoriguiden.

Aktivitet 1 eller 2
När eleverna har räknat klart en Miljö är det dags att välja en Aktivitet. Här får eleverna chansen att arbeta praktiskt. Detta är inte bara omväxlande, utan ger även fler elever chansen att lära sig, eftersom olika elever lär sig på olika sätt.

Kunskapskoll
Kunskapskollen är kopplad till de inledande målen, samt till momenten i Bas och Teoriguiden. Med hä¨lp av Kunskapskollen får eleverna och läraren en avstämningspunkt. Om eleven hade problem med några moment finns det hänvisningar till genomgångar i Teoriguiden samt till repetitionsuppgifter. De elever som gjorde fel när de räknade Kunskapskollen får i avsnittet Andra chansen en ny chans att visa att de har nått målen för kapitlet.

När Kunskapskollen är avklarad väljer de elever som hinner en eller flera Fördjupningar. Det finns fördjupningar för alla smaker i form av Historia, Breddning, Kluringar, Aktivitet och Utmaning.

Lärarboken
I lärarboken hittar du allt som behövs för att undervisningen ska fungera.

Här finns:

handledning och sto¨d till de olika avsnitten i varje kapitel

fler aktiviteter

Något att berätta korta berättelser som läraren kan använda för att levandegöra matematiken. Exempel på texter är Varför mäter man inte längre tusendelar i simning? och Varför delas varvet in i just 360°?

...och mycket mer.

När du köper Lärarboken får du tillgång till en mängd kopieringsunderlag. Kopieringsunderlagen ligger på nätet i form av pdf-filer. Du kommer åt dessa med hjälp av en kod som skickas till dig tillsammans med Lärarboken.

Kopieringsunderlagen inneha°ller:

läxor (dessa skyddas inte av en kod, utan kan nås hemifrån av alla elever)

förslag till provräkningar

bedömningsunderlag till provräkningar

repetitionsuppgifter

...och mycket mer.

www.levandematematik.nu
Du kan ladda ned den inlästa åk 7-boken i mp3- format helt kostnadsfritt! Du hittar filerna och de digitala kopieringsunderlagen på www.levandematematik.nu.

89:T61e,

Kluringar 3 innehåller 125 kluringar som passar bra för elever på högstadiet och gymnasieskolan. Mellanstadiets matematik är tillräcklig som förkunskap. I första delen presenteras samtliga problem. Till en del av problemen finns det ledtrådar som är samlade i andra delen. De problem som det finns ledtrådar till är markerade med L efter problemets nummer. Utförliga lösningar och svar finns i den tredje delen. Det finns även separata arbetsblad på den medföljande cd-skivan. Här kan du skriva ut varje problem för sig med tillhörande ledtrådar och svar.

Kluringar 3 passar för dig som

vill ge dina elever träning i problemlösning, utan att tröskeln blir för hög
gillar lekfull matematik
vill ha ett lättanvänt material som sparar tid och ger variation i matematikundervisningen

8a:Tdfc,

Så här funkar levande matematik:

Lärarboken
I lärarboken hittar du allt som behövs för att undervisningen ska fungera.

Här finns:

handledning och sto¨d till de olika avsnitten i varje kapitel

fler aktiviteter

...och mycket mer.

Kopieringsunderlagen inneha°ller:

läxor (dessa skyddas inte av en kod, utan kan nås hemifrån av alla elever)

förslag till provräkningar

bedömningsunderlag till provräkningar

repetitionsuppgifter

...och mycket mer.

www.levandematematik.nu
Du kan ladda ned den inlästa åk 7-boken i mp3- format helt kostnadsfritt! Du hittar filerna och de digitala kopieringsunderlagen på www.levandematematik.nu.

8b:T520,

Kluringar 100+2 innehåller ett urval (102 st) av de kluringar som finns i kopieringsunderlaget Kluringar 3 och 4. Högstadiets matematik är tillräcklig som förkunskap. I första delen presenteras samtliga problem. Till en del av problemen finns det ledtrådar som är samlade i andra delen. De problem som det finns ledtrådar till är markerade med L efter problemets nummer. Utförliga lösningar och svar finns i den tredje delen.

Kluringar 100+2 passar för dig som

vill träna problemlösning i hängmattan eller soffan
gillar lekfull matematik

8c:T616,

Kluringar är en samling matematiska problem, gåtor och tankenötter skrivna av Paul Vaderlind. I serien ingår de fyra kopieringsunderlagen Kluringar 1-4. Kluringar 1 är lättast och i de följande häftena stiger svårighetsgraden successivt. Ett urval av dessa kluringar finns i böckerna Kluringar 100+1 och Kluringar 100+2 , så att man lätt kan ta dem med sig till soffan eller hängmattan.

Kluringar 2 innehåller 125 kluringar som passar bra för elever på högstadiet och gymnasieskolan. Mellanstadiets matematik är tillräcklig som förkunskap. I första delen presenteras samtliga problem. Till en del av problemen finns det ledtrådar som är samlade i andra delen. De problem som det finns ledtrådar till är markerade med L efter problemets nummer. Utförliga lösningar och svar finns i den tredje delen. Det finns även separata arbetsblad på den medföljande cd-skivan. Här kan du skriva ut varje problem för sig med tillhörande ledtrådar och svar.

Kluringar 2 passar för dig som

vill ge dina elever träning i problemlösning, utan att tröskeln blir för hög
gillar lekfull matematik
vill ha ett lättanvänt material som sparar tid och ger variation i matematikundervisningen

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Gillar du siffror? Då är den här boken något för dig. Här hittar du närmare 50 räkneproblem som väntar på att få en lösning. Se till så att du har papper och penna inom räckhåll och, om du kör fast, kanske en kompis som också gillar att leka med tal!\n
\nPaul Vaderlind är lektor i matematik vid Stockholms universitet. Han har tidigare givit ut bla. 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I samarbete med Svenska Dagbladet ger Svenska Förlaget ut Sudokuböckerna av Paul Vaderlind, matematiker vid Stockholms universitet och 2005 års ledare för de Nordiska mästerskapen i Sudoku. Alla Pauls sudokupussel är handgjorda och inte datorgenererade.

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