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"post_content": "N\u00e4r man jobbar som matematikl\u00e4rare s\u00e5 k\u00e4mpar man ofta med de kritiska aspekterna. F\u00f6rsta \u00e5ren man undervisar s\u00e5 hittar man var de kritiska aspekterna finns dvs de begrepp och procedurer som \u00e4r kritiska f\u00f6r inl\u00e4rningen f\u00f6r eleverna och det som eleverna m\u00e5ste f\u00e5 syn p\u00e5 f\u00f6r att l\u00e4ra sig det som man t\u00e4nkt.<\/p>
Just nu jobbar mina elever med ekvationer och ekvationsl\u00f6sning och jag l\u00e4ste igenom en artikel av Lucian Olteanu, Linn\u00e9universitetet som heter \u201dF\u00f6rstagradsekvationer med obekanta i b\u00e5da leden\u201d. Elever kan anv\u00e4nda informella metoder dvs de har pr\u00f6vat sig fram eller gissat. Man m\u00e4rker att eleverna under sin tidigare skolg\u00e5ng anv\u00e4nt sig av informella metoder och det kan vara ett bra s\u00e4tt f\u00f6r att f\u00e5 eleverna att komma ig\u00e5ng med att l\u00f6sa ekvationer. Men det blir problem om de forts\u00e4tter anv\u00e4nda pr\u00f6vning d\u00e5 det leder till att de inte utvecklar det algebraiska t\u00e4nkande utan enbart stannar i det aritmetiska t\u00e4nkandet.<\/p>
F\u00f6r att f\u00e5 eleverna att anv\u00e4nda formella metoder som t ex balansmetoden (att g\u00f6ra samma p\u00e5 b\u00e5da sidor) eller \u00f6verflyttningsmetoden s\u00e5 m\u00e5ste eleverna k\u00e4nna ett behov av att anv\u00e4nda en annan metod eller s\u00e5 m\u00e5ste de uppt\u00e4cka att det inte r\u00e4cker med pr\u00f6vning f\u00f6r att kunna l\u00f6sa ekvationerna.<\/p>
Jag brukar anv\u00e4nda mig av en \u00f6vning d\u00e4r det inte g\u00e5r att pr\u00f6va sig fram l\u00e4ngre och det brukar tvinga fram att man anv\u00e4nder en formell metod. Den \u00f6vningen jag g\u00f6r d\u00e5 \u00e4r att ist\u00e4llet f\u00f6r att ekvationen ser ut s\u00e5 h\u00e4r: 3x+2=14 s\u00e5 byter jag ut heltalen mot decimaltal s\u00e5 ekvationen ser ut enligt f\u00f6ljande: 1,23x+2,9=4,86.<\/p>
D\u00e5 orkar inte eleverna testa pr\u00f6vning l\u00e4ngre utan nu inser de att det \u00e4r smidigare att anv\u00e4nda balansmetoden. Efter att ha testat n\u00e5gra liknande ekvationer s\u00e5 brukar de komma ig\u00e5ng och k\u00e4nna sig mer bekv\u00e4ma med \u00f6verflyttningsmetoden.<\/p>
Det var en kritisk aspekt vid ekvationsl\u00f6sning som jag jobbat med denna vecka.<\/p>
\/Ingrid Lundin<\/p>",
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"url": "https:\/\/docs.google.com\/spreadsheets\/d\/1hJZI_5MTg6FCU1yspRyiihCpIPfH7prlVvGnkqvY-R0\/edit?usp=sharing",
"description": "En lista med viktiga begrepp inom fysik, p\u00e5 olika spr\u00e5k.",
"information": "
Listan \u00e4r sammanst\u00e4lld av NO-l\u00e4rare och \u00f6versatt av modersm\u00e5lsl\u00e4rare. Tack till Liber f\u00f6rlag som bidragit med ord och f\u00f6rklaringar.<\/p>\n",
"id_column": "B",
"default_column_to_show": "C",
"languages_columns": "D,F",
"published": true
},
{
"title": "Sex och samlevnad",
"int_name": "sexochsamlevnad",
"url": "https:\/\/docs.google.com\/spreadsheets\/d\/1j-cKDrMEmvMqnDMpI85DPVan0EPPAJGgHpp-xzhl9Yc\/edit?usp=sharing",
"description": "En lista med begrepp inom sex och samlevnad p\u00e5 flera olika spr\u00e5k. \u00c4ven med bildst\u00f6d.",
"information": "
Bilderna kommer fr\u00e5n bildstod.se och anv\u00e4nds med\u00a0licens<\/a>\u00a0fr\u00e5n ARASAAC, Linn Greaker Design, Sclera symbols och Humblepics.<\/p>\n",
"id_column": "B",
"default_column_to_show": "C",
"languages_columns": "D,H",
"published": true
},
{
"title": "Historia",
"int_name": "historia",
"url": "https:\/\/docs.google.com\/spreadsheets\/d\/1Xij0BQmUDmh8SANWWwxMuq6ns-AbtLf9aqHw-3mEuNI\/edit?usp=sharing",
"description": "Viktiga ord och begrepp inom \u00e4mnet historia, p\u00e5 olika spr\u00e5k.",
"information": "Listan \u00e4r sammanst\u00e4lld av SO-l\u00e4rare och \u00f6versatt av modersm\u00e5lsl\u00e4rare. Tack till Liber f\u00f6rlag som bidragit med ord och f\u00f6rklaringar.<\/p>\n",
"id_column": "B",
"default_column_to_show": "C",
"languages_columns": "D,I",
"published": true
},
{
"title": "Kemi",
"int_name": "kemi",
"url": "https:\/\/docs.google.com\/spreadsheets\/d\/142W9EMXGXy5U-kYen3LX9hTvB6ElV-r55vbaJtWcxgw\/edit?usp=sharing",
"description": "Viktiga ord och begrepp inom \u00e4mnet kemi, p\u00e5 olika spr\u00e5k.",
"information": "",
"id_column": "B",
"default_column_to_show": "C",
"languages_columns": "D,F",
"published": true
},
{
"title": "Biologi",
"int_name": "biologi",
"url": "https:\/\/docs.google.com\/spreadsheets\/d\/1xcurwFH5hMHmlRiPne8mjnioMO-BWyVlEouSCV0em9c\/edit?usp=sharing",
"description": "Viktiga ord och begrepp inom \u00e4mnet biologi, p\u00e5 olika spr\u00e5k.",
"information": "",
"id_column": "B",
"default_column_to_show": "C",
"languages_columns": "D,E,F",
"published": true
},
{
"title": "Teknik",
"int_name": "teknik",
"url": "https:\/\/docs.google.com\/spreadsheets\/d\/1lwxorTOtOSVW2OCuvdfbavz8X8NcVPO1kLUOQIj17mI\/edit?usp=sharing",
"description": "Viktiga ord och begrepp inom \u00e4mnet teknik, p\u00e5 olika spr\u00e5k.",
"information": "",
"id_column": "B",
"default_column_to_show": "C",
"languages_columns": "D,E,F",
"published": true
},
{
"title": "Matematik",
"int_name": "matematik",
"url": "https:\/\/docs.google.com\/spreadsheets\/d\/127_tcIgVsIWerDzipTxNz8Mb9ZJY92S58x5shBv6VqU\/edit?usp=sharing",
"description": "\u00c4mnesord i matematik finns inte i Skolord \u00e4nnu, men h\u00e4r hittar du l\u00e4nk till Skolverkets material med termer p\u00e5 26 spr\u00e5k.",
"information": "
\u00c4mnesord i matematik finns inte i Skolord \u00e4nnu, men h\u00e4r \u00e4r Skolverkets material med termer p\u00e5 26 spr\u00e5k:<\/p>\n
Termer f\u00f6r matematikundervisning p\u00e5 olika spr\u00e5k<\/a><\/p>\n",
"id_column": "ej relevant",
"default_column_to_show": "",
"languages_columns": "",
"published": true
}
],
"wordlist_instructions_box": {
"heading": "Aktivera uppl\u00e4sning",
"lead": "De svenska orden och vissa andra spr\u00e5k g\u00e5r att f\u00e5 uppl\u00e4sta i Skolord.",
"button_url": "\/i-undervisningen\/nyanlanda\/skolord-amnesord-pa-olika-sprak\/upplasning-av-skolord",
"button_label": "Instruktioner f\u00f6r uppl\u00e4sning"
},
"theme_blog": {
"color": "blue",
"heading": "Blogg",
"subheading": "",
"lead": "H\u00e4r kan du se alla blogginl\u00e4gg p\u00e5 webbplatsen."
},
"theme_blogpage": {
"color": "blue",
"heading": "Bloggar",
"subheading": "",
"lead": "H\u00e4r kan du se alla bloggar p\u00e5 webbplatsen."
},
"theme_article": {
"color": "orange",
"heading": "Artiklar",
"subheading": "",
"lead": "H\u00e4r kan du l\u00e4sa alla artiklar som \u00e4r publicerade p\u00e5 den h\u00e4r webbplatsen."
},
"theme_video": {
"color": "green",
"heading": "Video",
"subheading": "",
"lead": "H\u00e4r kan du se de filmer som \u00e4r publicerade p\u00e5 den h\u00e4r webbplatsen."
},
"theme_event": {
"color": "pink",
"heading": "Evenemang",
"subheading": "Inspireras och utvecklas tillsammans",
"lead": "I kalendern hittar du f\u00f6rel\u00e4sningar, kurser och annat inom omr\u00e5det utbildning och skola, fr\u00e5n olika arrang\u00f6rer."
},
"theme_document": {
"color": "gray",
"heading": "Dokument",
"subheading": "",
"lead": ""
},
"footer_text": "\u00a9 [YEAR] Pedagog V\u00e4rmland, alla r\u00e4ttigheter reserverade."
}
