85:T469,Avancera II är den andra boken av två som ingår i en serie av kurslitteratur för basårets matematikundervisning. Boken motsvarar gymnasiets kurs matematik 4, och seriens första bok, Avancera I, täcker kurs 3c på gymnasiet. Denna bok bygger därmed vidare på Avancera I och matematik 3c på gymnasiet.

Den stora skillnaden mellan Avanceraserien och traditionell gymnasielitteratur är dels de längre teoriavsnitten mellan övningsdelarna, dels att framställningen är mer högskolemässig. Böckernas syfte är att ge studenten en bra förberedelse inför högskolans matematikundervisning. Ett stort fokus ligger också på problemlösning och undersökande aktiviteter, vilket i dag präglar skolundervisningen i matematik. I materialet integreras också teknikstöd och programmering - i enlighet med rådande kursplaner på gymnasiet.

Bokserien är i första hand skriven för basårets matematikkurser, men böckerna kan med fördel även användas på motsvarande kurser på gymnasiet.

På författarens hemsida finns kompletterande övningsuppgifter. www.matterial.n.nu/avancera86:T663,I den här boken presenteras problem för olika målgrupper. Den centrala idén bakom boken tar sig uttryck i på det sätt som problemen är uppbyggda. Varje problem är uppdelat i en sekvens av delproblem som mynnar ut i en mer öppen frågeställning, själva huvudproblemet. Tanken med denna differentierade problemform är att delproblemen ska exemplifiera hur mer komplexa problemställningar kan delas upp i enklare delar. Många elever och studenter blir passiva då de inte kan överblicka hela lösningen. De behöver nycklar för att göra ansatser. Materialet tjänar som en erfarenhetsbank för hur man kan lösa upp problemställningar. En andra central baktanke med problemens uppbyggnad är att erbjuda aktiviteter som, i ett slag, möter alla elever och studenter. Den differentierade problemformen gör att de svagare bjuds in till problemlösningsaktiviteter, och samtidigt får de riktigt drivna utvecklande utmaningar.
Bokens dryga 130 rika problem möter kursplanerna för gymnasiets samtliga kurser och för inledande högskolekurser i envariabelanalys, linjär algebra och diskret matematik.

Boken är tänkt att användas som sidolitteratur för gymnasiets alla nationella kurser (Matematik 1–5), för inledande matematikkurser på högskolan och för basårets kurser. Varje problem är förpackat så att det framgår i vilket sammanhang det är relevant i undervisningen. Boken kan komma i fråga som del av huvudlitteratur vid exempelvis ämnesdidaktiska kurser på lärarutbildningar, vid problemlösningskurser på högskolan samt för gymnasiets Matematik specialisering.
87:T5c7,Matematisk verksamhet består i att formulera samt lösa problem. I den här boken behandlas matematiska grunder – såsom begreppen sats, bevis och definition – i kontexten problemlösning. På detta sätt ges allmänna riktlinjer för hur du närmar dig, löser och utvecklar en problemställning, och på samma gång, riktlinjer för hur du tar till dig matematiskt stoff i allmänhet. Områdesspecifika problemlösningsstrategier arbetas fram inom områdena algebra, talteori, kombinatorik och geometri, detta från satser, bevis, axiom och logiska principer.

Materialet utgör ett självständigt kurs- och breddningsmaterial, där bokens problem på ett naturligt sätt kan tjäna som examinerande underlag. Materialet kan även användas som komplement till andra kurser, eller som givande läsning för den enskilde problemlösaren. Boken är skriven för att kunna möta elever förhållandevis tidigt i skolsystemet, begrepp från grundskolan är fullt tillräckliga att ha med sig.

Boken vänder sig främst till elever på gymnasienivå, särskilt som underlag för kursen matematik specialisering, men materialet lämpar sig även väl för introducerande och inledande högskolekurser. Boken riktas även till drivna grundskoleelever. Huvudsyftet med boken är att ge nycklar för kreativitet och för hur man tar till sig matematik, och på så vis bana väg för fortsatta studier i ämnet, inte minst för högskolestudier.
88:T4ef,Avancera I är den första boken av två som ingår i en serie av kurslitteratur för basårets matematikundervisning. Boken motsvarar gymnasiets kurs matematik 3c, och seriens andra bok, Avancera II, täcker kurs 4 på gymnasiet. Lämpliga förkunskaper för denna bok är därmed kurs 1 (b eller c) och kurs 2 (b eller c) på gymnasiet.

Den stora skillnaden mellan Avanceraserien och traditionell gymnasielitteratur är dels de längre teoriavsnitten mellan övningsdelarna, dels att framställningen är mer högskolemässig. Böckernas syfte är att ge studenten en bra förberedelse inför högskolans matematikundervisning. Ett stort fokus ligger också på problemlösning och undersökande aktiviteter, vilket i dag präglar skolundervisningen i matematik. I materialet integreras också teknikstöd och programmering – i enlighet med rådande kursplaner på gymnasiet.

Bokserien är i första hand skriven för basårets matematikkurser, men böckerna kan med fördel även användas på motsvarande kurser på gymnasiet.

På författarens hemsida, www.matterial.n.nu/avancera finns kompletterande övningsuppgifter och på omslagets insida finns en kod som ger tillgång till Eddlers kompletterande basårskurs.3e:["$","$L80",null,{"state":{"mutations":[],"queries":[{"dehydratedAt":1793331093003,"state":{"data":{"pages":[{"requestId":"61fcf26c-f467-409c-bfb0-28f92dc04d62","total":{"value":5,"relation":"eq"},"rows":[{"entityType":"book","isbn":"9789144133256","id":512555,"score":2,"position":0,"book":{"id":512555,"isbn":"9789144133256","created":"2021-06-23T08:04:59.000Z","title":"Avancera II - Matematik 4 för basår och gymnasiet","description":"$85","htmlDescription":null,"pages":219,"language":"swe","depth":14,"height":223,"width":155,"weight":400,"edition":"1","publishDate":"2019-10-25","authorNames":"Henrik Petersson","publisherName":"Studentlitteratur 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