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Og det er et problem, fordi selvstændig og kreativ tænkning er nødvendigt i matematik. </p><p>Det gør professor fra Simon Fraser University Peter Liljedahl noget ved i sin bog ”Det tænkende klasserum i matematik”, der netop er udkommet på dansk på Akademisk Forlag. Her foreslår han en række greb, der kan gennemføres og forandre undervisningskulturen i ethvert dansk klasselokale. </p><p>Lærere skal ikke nødvendigvis læse og kunne det hele fra første til sidste side for at komme i gang. Bogen guider læseren gennem en række faser og 14 konkrete praksisser, så metoden er let at gå til for alle lærere og kommende lærere. </p><p>”Alle der har mod på at skabe en ny ramme for undervisningen, kan komme i gang og gøre en kæmpe forskel for deres elever - og for sig selv. 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publication_area" 74 => "delete terms in social_and_web_icons" 75 => "delete terms in subcategory" 76 => "delete terms in tags" 77 => "delete terms in target_group" 78 => "delete terms in thema_category" 79 => "edit any article content" 80 => "edit any contributor content" 81 => "edit any faq content" 82 => "edit any page content" 83 => "edit any podcast content" 84 => "edit own article content" 85 => "edit own contributor content" 86 => "edit own faq content" 87 => "edit own page content" 88 => "edit own podcast content" 89 => "edit paragraph library item" 90 => "edit terms in catalog" 91 => "edit terms in categories" 92 => "edit terms in course" 93 => "edit terms in education" 94 => "edit terms in faq" 95 => "edit terms in level" 96 => "edit terms in publication_area" 97 => "edit terms in social_and_web_icons" 98 => "edit terms in subcategory" 99 => "edit terms in tags" 100 => "edit terms in target_group" 101 => "edit terms in thema_category" 102 => "revert all revisions" 103 => "revert article revisions" 104 => "revert contributor revisions" 105 => "revert faq revisions" 106 => "revert page revisions" 107 => "revert podcast revisions" 108 => "update any default commerce_product" 109 => "update any digital_learning_product commerce_product" 110 => "update any series commerce_product" 111 => "update any system commerce_product" 112 => "update own default commerce_product" 113 => "update own digital_learning_product commerce_product" 114 => "update own series commerce_product" 115 => "update own system commerce_product" 116 => "use save and edit" 117 => "use text format full_html" 118 => "view all revisions" 119 => "view article revisions" 120 => "view commerce_store" 121 => "view contributor revisions" 122 => "view default commerce_product" 123 => "view digital_learning_product commerce_product" 124 => "view faq revisions" 125 => "view own unpublished commerce_product" 126 => "view own unpublished content" 127 => "view page revisions" 128 => "view podcast revisions" 129 => "view series commerce_product" 130 => "view system commerce_product" 131 => "view the administration theme" 132 => "view unpublished paragraphs" ] ] "bundle" => "user_role" ] 2 => array:3 [ "target_id" => "manager" "entity" => array:9 [ "uuid" => "c4934fe7-1c21-4ab6-bc1b-796875a0b5a4" "langcode" => "en" "status" => true "dependencies" => array:2 [ "config" => array:26 [ 0 => "block_content.type.basic" 1 => "filter.format.full_html" 2 => "node.type.article" 3 => "node.type.contributor" 4 => "node.type.faq" 5 => "node.type.page" 6 => "node.type.podcast" 7 => "taxonomy.vocabulary.catalog" 8 => "taxonomy.vocabulary.categories" 9 => "taxonomy.vocabulary.course" 10 => "taxonomy.vocabulary.education" 11 => "taxonomy.vocabulary.faq" 12 => "taxonomy.vocabulary.level" 13 => "taxonomy.vocabulary.publication_area" 14 => "taxonomy.vocabulary.social_and_web_icons" 15 => "taxonomy.vocabulary.subcategory" 16 => "taxonomy.vocabulary.tags" 17 => "taxonomy.vocabulary.target_group" 18 => "taxonomy.vocabulary.thema_category" 19 => "user.role.authenticated" 20 => "user.role.bc_administrators" 21 => "user.role.business" 22 => "user.role.content_editor" 23 => "user.role.customer_service" 24 => "user.role.discount_administrators" 25 => "user.role.private" ] "module" => array:39 [ 0 => "block_content" 1 => "business_central" 2 => "commerce" 3 => "commerce_checkout" 4 => "commerce_number_pattern" 5 => "commerce_order" 6 => "commerce_payment" 7 => "commerce_price" 8 => "commerce_product" 9 => "commerce_promotion" 10 => "commerce_shipping" 11 => "commerce_stock" 12 => "commerce_stock_local" 13 => "commerce_stock_ui" 14 => "commerce_store" 15 => "commerce_tax" 16 => "conditional_fields" 17 => "config" 18 => "config_translation" 19 => "context_ui" 20 => "contextual" 21 => "default_paragraphs" 22 => "devel" 23 => "file" 24 => "filter" 25 => "google_tag" 26 => "masquerade" 27 => "node" 28 => "paragraphs" 29 => "paragraphs_library" 30 => "path" 31 => "profile" 32 => "quick_node_clone" 33 => "redirect" 34 => "system" 35 => "taxonomy" 36 => "toolbar" 37 => "webform" 38 => "webshop_commerce" ] ] "id" => "manager" "label" => "Manager" "weight" => 3 "is_admin" => null "permissions" => array:302 [ 0 => "access administration pages" 1 => "access any webform configuration" 2 => "access block library" 3 => "access business central section" 4 => "access commerce administration pages" 5 => "access commerce stock administration pages" 6 => "access commerce_order overview" 7 => "access commerce_product overview" 8 => "access commerce_product_attribute overview" 9 => "access commerce_promotion overview" 10 => "access commerce_shipping_method overview" 11 => "access commerce_stock_location overview" 12 => "access commerce_store overview" 13 => "access content overview" 14 => "access contextual links" 15 => "access files overview" 16 => "access own webform configuration" 17 => "access profile overview" 18 => "access site in maintenance mode" 19 => "access taxonomy overview" 20 => "access toolbar" 21 => "access user profiles" 22 => "access webform help" 23 => "access webform overview" 24 => "access webform submission user" 25 => "add commerce_log commerce_order admin comment" 26 => "administer account settings" 27 => "administer bc customer" 28 => "administer bc customer address" 29 => "administer bc invoice" 30 => "administer bc shipment" 31 => "administer block content" 32 => "administer block types" 33 => "administer commerce stock" 34 => "administer commerce_checkout_flow" 35 => "administer commerce_currency" 36 => "administer commerce_number_pattern" 37 => "administer commerce_order" 38 => "administer commerce_order_type" 39 => "administer commerce_package_type" 40 => "administer commerce_payment" 41 => "administer commerce_payment_gateway" 42 => "administer commerce_payment_method" 43 => "administer commerce_product" 44 => "administer commerce_product_attribute" 45 => "administer commerce_product_type" 46 => "administer commerce_promotion" 47 => "administer commerce_shipment" 48 => "administer commerce_shipment_type" 49 => "administer commerce_shipping_method" 50 => "administer commerce_stock_location" 51 => "administer commerce_stock_location_type" 52 => "administer commerce_store" 53 => "administer commerce_store_type" 54 => "administer commerce_tax_type" 55 => "administer content types" 56 => "administer contexts" 57 => "administer default paragraphs" 58 => "administer google_tag_container" 59 => "administer menu" 60 => "administer nodes" 61 => "administer paragraphs library" 62 => "administer paragraphs settings" 63 => "administer paragraphs types" 64 => "administer permissions" 65 => "administer redirect settings" 66 => "administer redirects" 67 => "administer taxonomy" 68 => "administer url aliases" 69 => "administer users" 70 => "administer webform" 71 => "administer webform element access" 72 => "administer webform submission" 73 => "bulk generate commerce_promotion_coupon" 74 => "bypass node access" 75 => "cancel account" 76 => "change own username" 77 => "clone article content" 78 => "clone contributor content" 79 => "clone faq content" 80 => "clone page content" 81 => "clone podcast content" 82 => "create article content" 83 => "create basic block content" 84 => "create bc customer" 85 => "create bc invoice" 86 => "create commerce_product_attribute" 87 => "create commerce_promotion" 88 => "create commerce_shipping_method" 89 => "create contributor content" 90 => "create customer profile" 91 => "create default commerce_order" 92 => "create default commerce_product" 93 => "create default commerce_stock_location" 94 => "create digital_learning_product commerce_product" 95 => "create faq content" 96 => "create online commerce_store" 97 => "create page content" 98 => "create paragraph library item" 99 => "create podcast content" 100 => "create series commerce_product" 101 => "create shipping profile" 102 => "create system commerce_product" 103 => "create terms in catalog" 104 => "create terms in categories" 105 => "create terms in course" 106 => "create terms in education" 107 => "create terms in faq" 108 => "create terms in level" 109 => "create terms in publication_area" 110 => "create terms in social_and_web_icons" 111 => "create terms in subcategory" 112 => "create terms in tags" 113 => "create terms in target_group" 114 => "create terms in thema_category" 115 => "create url aliases" 116 => "create webform" 117 => "delete all revisions" 118 => "delete any article content" 119 => "delete any basic block content" 120 => "delete any basic block content revisions" 121 => "delete any commerce_payment_method" 122 => "delete any commerce_promotion" 123 => "delete any contributor content" 124 => "delete any customer profile" 125 => "delete any default commerce_product" 126 => "delete any default commerce_stock_location" 127 => "delete any digital_learning_product commerce_product" 128 => "delete any faq content" 129 => "delete any online commerce_store" 130 => "delete any page content" 131 => "delete any podcast content" 132 => "delete any series commerce_product" 133 => "delete any shipping profile" 134 => "delete any system commerce_product" 135 => "delete any webform" 136 => "delete any webform submission" 137 => "delete article revisions" 138 => "delete bc customer" 139 => "delete bc invoice" 140 => "delete commerce_product_attribute" 141 => "delete commerce_shipping_method" 142 => "delete conditional fields" 143 => "delete contributor revisions" 144 => "delete default commerce_order" 145 => "delete faq revisions" 146 => "delete own article content" 147 => "delete own commerce_promotion" 148 => "delete own contributor content" 149 => "delete own customer profile" 150 => "delete own default commerce_product" 151 => "delete own default commerce_stock_location" 152 => "delete own digital_learning_product commerce_product" 153 => "delete own faq content" 154 => "delete own online commerce_store" 155 => "delete own page content" 156 => "delete own podcast content" 157 => "delete own series commerce_product" 158 => "delete own shipping profile" 159 => "delete own system commerce_product" 160 => "delete own webform" 161 => "delete own webform submission" 162 => "delete page revisions" 163 => "delete podcast revisions" 164 => "delete terms in catalog" 165 => "delete terms in categories" 166 => "delete terms in course" 167 => "delete terms in education" 168 => "delete terms in faq" 169 => "delete terms in level" 170 => "delete terms in publication_area" 171 => "delete terms in social_and_web_icons" 172 => "delete terms in subcategory" 173 => "delete terms in tags" 174 => "delete terms in target_group" 175 => "delete terms in thema_category" 176 => "duplicate any commerce_promotion" 177 => "duplicate any online commerce_store" 178 => "duplicate own commerce_promotion" 179 => "duplicate own online commerce_store" 180 => "edit any article content" 181 => "edit any basic block content" 182 => "edit any contributor content" 183 => "edit any faq content" 184 => "edit any page content" 185 => "edit any podcast content" 186 => "edit any webform" 187 => "edit any webform submission" 188 => "edit bc customer" 189 => "edit bc invoice" 190 => "edit behavior plugin settings" 191 => "edit conditional fields" 192 => "edit own article content" 193 => "edit own contributor content" 194 => "edit own faq content" 195 => "edit own page content" 196 => "edit own podcast content" 197 => "edit own webform" 198 => "edit own webform submission" 199 => "edit paragraph library item" 200 => "edit terms in catalog" 201 => "edit terms in categories" 202 => "edit terms in course" 203 => "edit terms in education" 204 => "edit terms in faq" 205 => "edit terms in level" 206 => "edit terms in publication_area" 207 => "edit terms in social_and_web_icons" 208 => "edit terms in subcategory" 209 => "edit terms in tags" 210 => "edit terms in target_group" 211 => "edit terms in thema_category" 212 => "edit webform assets" 213 => "edit webform source" 214 => "edit webform twig" 215 => "edit webform variants" 216 => "export configuration" 217 => "import configuration" 218 => "manage default commerce_order_item" 219 => "manage default commerce_product_variation" 220 => "manage default commerce_shipment" 221 => "manage license commerce_product_variation" 222 => "masquerade as authenticated" 223 => "masquerade as bc_administrators" 224 => "masquerade as business" 225 => "masquerade as content_editor" 226 => "masquerade as customer_service" 227 => "masquerade as discount_administrators" 228 => "masquerade as private" 229 => "revert all revisions" 230 => "revert any basic block content revisions" 231 => "revert article revisions" 232 => "revert contributor revisions" 233 => "revert faq revisions" 234 => "revert page revisions" 235 => "revert podcast revisions" 236 => "select account cancellation method" 237 => "switch users" 238 => "synchronize configuration" 239 => "translate configuration" 240 => "update any commerce_payment_method" 241 => "update any commerce_promotion" 242 => "update any customer profile" 243 => "update any default commerce_product" 244 => "update any default commerce_stock_location" 245 => "update any digital_learning_product commerce_product" 246 => "update any online commerce_store" 247 => "update any series commerce_product" 248 => "update any shipping profile" 249 => "update any system commerce_product" 250 => "update commerce_product_attribute" 251 => "update commerce_shipping_method" 252 => "update default commerce_order" 253 => "update own commerce_promotion" 254 => "update own customer profile" 255 => "update own default commerce_product" 256 => "update own default commerce_stock_location" 257 => "update own digital_learning_product commerce_product" 258 => "update own online commerce_store" 259 => "update own series commerce_product" 260 => "update own shipping profile" 261 => "update own system commerce_product" 262 => "use commerce stock transaction form" 263 => "use text format full_html" 264 => "view all revisions" 265 => "view any basic block content history" 266 => "view any commerce_payment_method" 267 => "view any customer profile" 268 => "view any profile" 269 => "view any shipping profile" 270 => "view any webform submission" 271 => "view bc customer" 272 => "view bc invoice" 273 => "view commerce_order" 274 => "view commerce_product_attribute" 275 => "view commerce_promotion" 276 => "view commerce_shipping_method" 277 => "view commerce_stock_location" 278 => "view commerce_store" 279 => "view conditional fields" 280 => "view contributor revisions" 281 => "view default commerce_order" 282 => "view default commerce_product" 283 => "view default commerce_stock_location" 284 => "view digital_learning_product commerce_product" 285 => "view faq revisions" 286 => "view online commerce_store" 287 => "view own customer profile" 288 => "view own profile" 289 => "view own shipping profile" 290 => "view own unpublished commerce_product" 291 => "view own unpublished content" 292 => "view own unpublished profile" 293 => "view own webform submission" 294 => "view page revisions" 295 => "view podcast revisions" 296 => "view series commerce_product" 297 => "view system commerce_product" 298 => "view the administration theme" 299 => "view unpublished paragraphs" 300 => "view user email addresses" 301 => "webshop commerce config access" ] ] "bundle" => "user_role" ] 3 => array:3 [ "target_id" => "bc_administrators" "entity" => array:9 [ "uuid" => "48945110-2c96-4a1e-a006-aeaba3e90d69" "langcode" => "en" "status" => true "dependencies" => array:2 [ "config" => array:1 [ 0 => "filter.format.full_html" ] "module" => array:4 [ 0 => "business_central" 1 => "filter" 2 => "system" 3 => "toolbar" ] ] "id" => "bc_administrators" "label" => "BC administrators" "weight" => 6 "is_admin" => null "permissions" => array:17 [ 0 => "access administration pages" 1 => "access business central section" 2 => "access toolbar" 3 => "administer bc customer" 4 => "administer bc customer address" 5 => "administer bc invoice" 6 => "administer bc shipment" 7 => "create bc customer" 8 => "create bc invoice" 9 => "delete bc customer" 10 => "delete bc invoice" 11 => "edit bc customer" 12 => "edit bc invoice" 13 => "use text format full_html" 14 => "view bc customer" 15 => "view bc invoice" 16 => "view the administration theme" ] ] "bundle" => "user_role" ] ] "default_langcode" => array:1 [ 0 => array:1 [ "value" => "1" ] ] "metatag" => array:3 [ 0 => array:2 [ "tag" => "meta" "attributes" => array:2 [ "name" => "title" "content" => "cls@akademisk.dk | Akademisk Forlag" ] ] 1 => array:2 [ "tag" => "meta" "attributes" => array:2 [ "name" => "description" "content" => "Akademisk Forlag" ] ] 2 => array:2 [ "tag" => "link" "attributes" => array:2 [ "rel" => "canonical" "href" => "https://www.akademisk.dk/user/9" ] ] ] "customer_profiles" => array:1 [ 0 => array:3 [ "target_id" => "129" "entity" => array:24 [ "profile_id" => array:1 [ 0 => array:1 [ "value" => "129" ] ] "uuid" => array:1 [ 0 => array:1 [ "value" => "aaa70d0b-0633-47da-af93-479f76efc815" ] ] "revision_id" => array:1 [ 0 => array:1 [ "value" => "129" ] ] "type" => array:1 [ 0 => array:3 [ "target_id" => "customer" "entity" => array:14 [ "uuid" => "7d7d28d0-3699-4f74-b28a-99f210fc1a6d" "langcode" => "da" "status" => true "dependencies" => array:1 [ "enforced" => array:1 [ "module" => array:1 [ 0 => "commerce_order" ] ] ] "third_party_settings" => array:1 [ "commerce_order" => array:1 [ "customer_profile_type" => true ] ] "_core" => array:1 [ "default_config_hash" => "I3_fH4tUQVejPgxvJzH1-mGg9A9OaY4Hm5iN2G2Fz20" ] "id" => "customer" "label" => "Kunde" "display_label" => "Kundeoplysninger" "multiple" => false "registration" => false "roles" => [] "allow_revisions" => false "new_revision" => false ] "bundle" => "profile_type" ] ] "revision_created" => array:1 [ 0 => array:1 [ "value" => "1707902201" ] ] "revision_user" => array:1 [ 0 => array:3 [ "target_id" => "0" "entity" => array:28 [ "uid" => array:1 [ 0 => array:1 [ "value" => "0" ] ] "uuid" => array:1 [ 0 => array:1 [ "value" => "7bed40de-56d3-4972-a589-81c359cc39d0" ] ] "langcode" => array:1 [ 0 => array:1 [ "value" => "en" ] ] "preferred_langcode" => array:1 [ 0 => array:1 [ "value" => "en" ] ] "preferred_admin_langcode" => [] "name" => array:1 [ 0 => array:1 [ "value" => "" ] ] "pass" => [] "mail" => [] "timezone" => [] "status" => array:1 [ 0 => array:1 [ "value" => "0" ] ] "created" => array:1 [ 0 => array:1 [ "value" => "1642521629" ] ] "changed" => array:1 [ 0 => array:1 [ "value" => "1710339303" ] ] "access" => array:1 [ 0 => array:1 [ "value" => "0" ] ] "login" => array:1 [ 0 => array:1 [ "value" => "0" ] ] "init" => [] "roles" => [] "default_langcode" => array:1 [ 0 => array:1 [ "value" => "1" ] ] "metatag" => array:3 [ 0 => array:2 [ "tag" => "meta" "attributes" => array:2 [ "name" => "title" "content" => "Anonym | Akademisk Forlag" ] ] 1 => array:2 [ "tag" => "meta" "attributes" => array:2 [ "name" => "description" "content" => "Akademisk Forlag" ] ] 2 => array:2 [ "tag" => "link" "attributes" => array:2 [ "rel" => "canonical" "href" => "ikke tildelt endnu" ] ] ] "customer_profiles" => [] "shipping_profiles" => [] "path" => array:1 [ 0 => array:1 [ "langcode" => "en" ] ] "commerce_remote_id" => [] "field_customer_id_business" => [] "field_customer_id_private" => [] "field_name" => [] "field_old_orders" => [] "field_unilogin_username" => [] "user_picture" => [] ] "bundle" => "user" ] ] "revision_log_message" => [] "status" => array:1 [ 0 => array:1 [ "value" => "1" ] ] "uid" => array:1 [ 0 => array:3 [ "target_id" => "9" "message" => "Recursion detected." "array_path" => "field_teaser_image.0.entity.uid.0.entity" ] ] "is_default" => array:1 [ 0 => array:1 [ "value" => "1" ] ] "data" => [] "created" => array:1 [ 0 => array:1 [ "value" => "1707902201" ] ] "changed" => array:1 [ 0 => array:1 [ "value" => "1707902237" ] ] "revision_default" => array:1 [ 0 => array:1 [ "value" => "1" ] ] "metatag" => array:2 [ 0 => array:2 [ "tag" => "meta" "attributes" => array:2 [ "name" => "title" "content" => "Devel Load (with references) | Akademisk Forlag" ] ] 1 => array:2 [ "tag" => "link" "attributes" => array:2 [ "rel" => "canonical" "href" => "https://www.akademisk.dk/devel/load-with-references/node/1421" ] ] ] "address" => array:1 [ 0 => array:14 [ "langcode" => null "country_code" => "DK" "administrative_area" => "" "locality" => "København K" "dependent_locality" => "" "postal_code" => "1148" "sorting_code" => null "address_line1" => "Vognmagergade 7" "address_line2" => "" "address_line3" => null "organization" => null "given_name" => null "additional_name" => null "family_name" => null ] ] "field_cvr" => [] "field_ean" => [] "field_institution_name" => [] "field_institution_number" => [] "field_name" => array:1 [ 0 => array:1 [ "value" => "Camilla Larsen Schmidt" ] ] "field_phone" => [] "field_reference_number" => [] "tax_number" => [] ] "bundle" => "customer" ] ] "shipping_profiles" => array:5 [ 0 => array:3 [ "target_id" => "112" "entity" => array:20 [ "profile_id" => array:1 [ 0 => array:1 [ "value" => "112" ] ] "uuid" => array:1 [ 0 => array:1 [ "value" => "690e7c63-c598-4b66-a7af-93b8e0e1ee25" ] ] "revision_id" => array:1 [ 0 => array:1 [ "value" => "112" ] ] "type" => array:1 [ 0 => array:3 [ "target_id" => "shipping" "message" => "Recursion detected." "array_path" => "revision_uid.0.entity.shipping_profiles.0.entity.type.0.entity" ] ] "revision_created" => array:1 [ 0 => array:1 [ "value" => "1707826266" ] ] "revision_user" => array:1 [ 0 => array:3 [ "target_id" => "9" "message" => "Recursion detected." "array_path" => "field_teaser_image.0.entity.uid.0.entity" ] ] "revision_log_message" => [] "status" => array:1 [ 0 => array:1 [ "value" => "1" ] ] "uid" => array:1 [ 0 => array:3 [ "target_id" => "9" "message" => "Recursion detected." 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