Matemáticas y cálculo / Matematika eta kalkulua

.wpv-custom-search-filter-reset[data-toolset-views-custom-search-reset="8f9b2aca3c5a5ba11f110a129e00929d"] { text-align: left; } .wpv-custom-search-filter-reset[data-toolset-views-custom-search-reset="8f9b2aca3c5a5ba11f110a129e00929d"] .wpv-reset-trigger { color: rgba( 0, 0, 0, 1 );background-color: rgba( 27, 95, 82, 0.13 );border: 0px solid rgba( 0, 0, 0, 1 );border-radius: 8px; } .wpv-custom-search-filter-submit[data-toolset-views-custom-search-submit="52b5b4f18bc1a85726598af6aa0355d1"] { text-align: left; } .wpv-custom-search-filter-submit[data-toolset-views-custom-search-submit="52b5b4f18bc1a85726598af6aa0355d1"] .wpv-submit-trigger { color: rgba( 255, 255, 255, 1 );background-color: rgba( 27, 95, 81, 1 );border-radius: 8px; } .wpv-custom-search-filter[data-toolset-views-custom-search-filter="fbe80393e0339256ecbc591ffe6d35db"] input, .wpv-custom-search-filter[data-toolset-views-custom-search-filter="fbe80393e0339256ecbc591ffe6d35db"] button, .wpv-custom-search-filter[data-toolset-views-custom-search-filter="fbe80393e0339256ecbc591ffe6d35db"] select, .wpv-custom-search-filter[data-toolset-views-custom-search-filter="fbe80393e0339256ecbc591ffe6d35db"] textarea { border: 1px solid rgba( 0, 0, 0, 1 );border-radius: 8px; } .wpv-custom-search-filter[data-toolset-views-custom-search-filter="9e6f89ca33aa6658b7157b3bfe9be42e"] input, .wpv-custom-search-filter[data-toolset-views-custom-search-filter="9e6f89ca33aa6658b7157b3bfe9be42e"] button, .wpv-custom-search-filter[data-toolset-views-custom-search-filter="9e6f89ca33aa6658b7157b3bfe9be42e"] select, .wpv-custom-search-filter[data-toolset-views-custom-search-filter="9e6f89ca33aa6658b7157b3bfe9be42e"] textarea { border: 1px solid rgba( 0, 0, 0, 1 );border-radius: 8px; } .wpv-custom-search-filter[data-toolset-views-custom-search-filter="e04dca8933d5487fe1f0c0a36b6c07e6"] input, .wpv-custom-search-filter[data-toolset-views-custom-search-filter="e04dca8933d5487fe1f0c0a36b6c07e6"] button, .wpv-custom-search-filter[data-toolset-views-custom-search-filter="e04dca8933d5487fe1f0c0a36b6c07e6"] select, .wpv-custom-search-filter[data-toolset-views-custom-search-filter="e04dca8933d5487fe1f0c0a36b6c07e6"] textarea { border: 1px solid rgba( 0, 0, 0, 1 );border-radius: 8px; } .wpv-custom-search-filter[data-toolset-views-custom-search-filter="5c5a4bafb7919a12b1ec7de4f2fc0aa6"] input, .wpv-custom-search-filter[data-toolset-views-custom-search-filter="5c5a4bafb7919a12b1ec7de4f2fc0aa6"] button, .wpv-custom-search-filter[data-toolset-views-custom-search-filter="5c5a4bafb7919a12b1ec7de4f2fc0aa6"] select, .wpv-custom-search-filter[data-toolset-views-custom-search-filter="5c5a4bafb7919a12b1ec7de4f2fc0aa6"] textarea { border: 1px solid rgba( 0, 0, 0, 1 );border-radius: 8px; } .tb-grid,.tb-grid>.block-editor-inner-blocks>.block-editor-block-list__layout{display:grid;grid-row-gap:25px;grid-column-gap:25px}.tb-grid-item{background:#d38a03;padding:30px}.tb-grid-column{flex-wrap:wrap}.tb-grid-column>*{width:100%}.tb-grid-column.tb-grid-align-top{width:100%;display:flex;align-content:flex-start}.tb-grid-column.tb-grid-align-center{width:100%;display:flex;align-content:center}.tb-grid-column.tb-grid-align-bottom{width:100%;display:flex;align-content:flex-end} .wp-block-toolset-views-wpa-editor > .tb-grid-column:nth-of-type(3n + 1) { grid-column: 1 } .wp-block-toolset-views-wpa-editor > .tb-grid-column:nth-of-type(3n + 2) { grid-column: 2 } .wp-block-toolset-views-wpa-editor > .tb-grid-column:nth-of-type(3n + 3) { grid-column: 3 } .wp-block-toolset-views-wpa-editor .js-wpv-loop-wrapper > .tb-grid { grid-template-columns: minmax(0, 0.3333fr) minmax(0, 0.3333fr) minmax(0, 0.3333fr);grid-auto-flow: row } .tb-grid,.tb-grid>.block-editor-inner-blocks>.block-editor-block-list__layout{display:grid;grid-row-gap:25px;grid-column-gap:25px}.tb-grid-item{background:#d38a03;padding:30px}.tb-grid-column{flex-wrap:wrap}.tb-grid-column>*{width:100%}.tb-grid-column.tb-grid-align-top{width:100%;display:flex;align-content:flex-start}.tb-grid-column.tb-grid-align-center{width:100%;display:flex;align-content:center}.tb-grid-column.tb-grid-align-bottom{width:100%;display:flex;align-content:flex-end} .wpv-view-output[data-toolset-views-view-editor="5a1a7c534fde49a956ed153c9bdbcade"] > .tb-grid-column:nth-of-type(3n + 1) { grid-column: 1 } .wpv-view-output[data-toolset-views-view-editor="5a1a7c534fde49a956ed153c9bdbcade"] > .tb-grid-column:nth-of-type(3n + 2) { grid-column: 2 } .wpv-view-output[data-toolset-views-view-editor="5a1a7c534fde49a956ed153c9bdbcade"] > .tb-grid-column:nth-of-type(3n + 3) { grid-column: 3 } .wpv-view-output[data-toolset-views-view-editor="5a1a7c534fde49a956ed153c9bdbcade"] .js-wpv-loop-wrapper > .tb-grid { grid-template-columns: minmax(0, 0.3333fr) minmax(0, 0.3333fr) minmax(0, 0.3333fr);grid-auto-flow: row } .wpv-pagination-nav-links[data-toolset-views-view-pagination-block="05dcf22109daffc1b9211428032be61d"] { text-align: left;justify-content: flex-start; } .wpv-pagination-nav-links[data-toolset-views-view-pagination-block="05dcf22109daffc1b9211428032be61d"] .page-item a.page-link, .wpv-pagination-nav-links[data-toolset-views-view-pagination-block="05dcf22109daffc1b9211428032be61d"] .wpv-filter-pagination-link, .wpv-pagination-nav-links[data-toolset-views-view-pagination-block="05dcf22109daffc1b9211428032be61d"] span.wpv-filter-previous-link, .wpv-pagination-nav-links[data-toolset-views-view-pagination-block="05dcf22109daffc1b9211428032be61d"] span.wpv-filter-next-link { color: rgba( 0, 0, 0, 1 );background-color: rgba( 250, 250, 245, 1 );border: 1px solid rgba( 230, 230, 230, 1 ); } .wpv-pagination-nav-links[data-toolset-views-view-pagination-block="05dcf22109daffc1b9211428032be61d"] .page-item.active span.page-link, .wpv-pagination-nav-links[data-toolset-views-view-pagination-block="05dcf22109daffc1b9211428032be61d"] .wpv-pagination-nav-links-item-current span.wpv-filter-pagination-link { color: rgba( 255, 255, 255, 1 );background-color: rgba( 105, 155, 247, 1 ); } .wpv-block-loop-item[data-toolset-views-view-template-block="ce361c0a2e6ba9901daceed1265c94d0"] { background-color: rgba( 250, 250, 245, 1 );border: 1px solid rgba( 230, 230, 230, 1 );border-radius: 8px; } .tb-container .tb-container-inner{width:100%;margin:0 auto} .wp-block-toolset-blocks-container.tb-container[data-toolset-blocks-container="ae358fa172042452b324eaf0ac5d4df0"] { padding: 0px 25px 25px 25px; } .tb-heading[data-toolset-blocks-heading="816f68f68538327a10522fdfee662ddb"]  { padding-top: 0px;padding-bottom: 0px;margin-top: 0px;margin-bottom: 0px; }  .tb-heading[data-toolset-blocks-heading="816f68f68538327a10522fdfee662ddb"] a  { color: rgba( 66, 107, 31, 1 ); } .tb-heading[data-toolset-blocks-heading="daa741be396cd5e6c295d3a6820937b1"]  { padding-top: 0px;padding-bottom: 0px;margin-top: 0px;margin-bottom: 0px; }  .tb-heading[data-toolset-blocks-heading="daa741be396cd5e6c295d3a6820937b1"] a  { color: rgba( 0, 0, 0, 1 );font-weight: bold; } .tb-image{position:relative;transition:transform 0.25s ease}.wp-block-image .tb-image.aligncenter{margin-left:auto;margin-right:auto}.tb-image img{max-width:100%;height:auto;width:auto;transition:transform 0.25s ease}.tb-image .tb-image-caption-fit-to-image{display:table}.tb-image .tb-image-caption-fit-to-image .tb-image-caption{display:table-caption;caption-side:bottom} .wp-block-image.tb-image[data-toolset-blocks-image="5c364d023b80dcae3da3097169f87f42"] { max-width: 100%; } .wp-block-image.tb-image[data-toolset-blocks-image="5c364d023b80dcae3da3097169f87f42"] img { border-top-left-radius: 8px;border-top-right-radius: 8px;padding: 0px;margin: 0px 0px 32px 0px; } @media only screen and (max-width: 781px) { .tb-grid,.tb-grid>.block-editor-inner-blocks>.block-editor-block-list__layout{display:grid;grid-row-gap:25px;grid-column-gap:25px}.tb-grid-item{background:#d38a03;padding:30px}.tb-grid-column{flex-wrap:wrap}.tb-grid-column>*{width:100%}.tb-grid-column.tb-grid-align-top{width:100%;display:flex;align-content:flex-start}.tb-grid-column.tb-grid-align-center{width:100%;display:flex;align-content:center}.tb-grid-column.tb-grid-align-bottom{width:100%;display:flex;align-content:flex-end} .wp-block-toolset-views-wpa-editor > .tb-grid-column:nth-of-type(3n + 1) { grid-column: 1 } .wp-block-toolset-views-wpa-editor > .tb-grid-column:nth-of-type(3n + 2) { grid-column: 2 } .wp-block-toolset-views-wpa-editor > .tb-grid-column:nth-of-type(3n + 3) { grid-column: 3 } .wp-block-toolset-views-wpa-editor .js-wpv-loop-wrapper > .tb-grid { grid-template-columns: minmax(0, 0.3333fr) minmax(0, 0.3333fr) minmax(0, 0.3333fr);grid-auto-flow: row } .tb-grid,.tb-grid>.block-editor-inner-blocks>.block-editor-block-list__layout{display:grid;grid-row-gap:25px;grid-column-gap:25px}.tb-grid-item{background:#d38a03;padding:30px}.tb-grid-column{flex-wrap:wrap}.tb-grid-column>*{width:100%}.tb-grid-column.tb-grid-align-top{width:100%;display:flex;align-content:flex-start}.tb-grid-column.tb-grid-align-center{width:100%;display:flex;align-content:center}.tb-grid-column.tb-grid-align-bottom{width:100%;display:flex;align-content:flex-end} .wpv-view-output[data-toolset-views-view-editor="5a1a7c534fde49a956ed153c9bdbcade"] > .tb-grid-column:nth-of-type(3n + 1) { grid-column: 1 } .wpv-view-output[data-toolset-views-view-editor="5a1a7c534fde49a956ed153c9bdbcade"] > .tb-grid-column:nth-of-type(3n + 2) { grid-column: 2 } .wpv-view-output[data-toolset-views-view-editor="5a1a7c534fde49a956ed153c9bdbcade"] > .tb-grid-column:nth-of-type(3n + 3) { grid-column: 3 } .wpv-view-output[data-toolset-views-view-editor="5a1a7c534fde49a956ed153c9bdbcade"] .js-wpv-loop-wrapper > .tb-grid { grid-template-columns: minmax(0, 0.3333fr) minmax(0, 0.3333fr) minmax(0, 0.3333fr);grid-auto-flow: row } .tb-container .tb-container-inner{width:100%;margin:0 auto}  .tb-image{position:relative;transition:transform 0.25s ease}.wp-block-image .tb-image.aligncenter{margin-left:auto;margin-right:auto}.tb-image img{max-width:100%;height:auto;width:auto;transition:transform 0.25s ease}.tb-image .tb-image-caption-fit-to-image{display:table}.tb-image .tb-image-caption-fit-to-image .tb-image-caption{display:table-caption;caption-side:bottom} } @media only screen and (max-width: 599px) { .tb-grid,.tb-grid>.block-editor-inner-blocks>.block-editor-block-list__layout{display:grid;grid-row-gap:25px;grid-column-gap:25px}.tb-grid-item{background:#d38a03;padding:30px}.tb-grid-column{flex-wrap:wrap}.tb-grid-column>*{width:100%}.tb-grid-column.tb-grid-align-top{width:100%;display:flex;align-content:flex-start}.tb-grid-column.tb-grid-align-center{width:100%;display:flex;align-content:center}.tb-grid-column.tb-grid-align-bottom{width:100%;display:flex;align-content:flex-end} .wp-block-toolset-views-wpa-editor  > .tb-grid-column:nth-of-type(1n+1) { grid-column: 1 } .wp-block-toolset-views-wpa-editor .js-wpv-loop-wrapper > .tb-grid { grid-template-columns: minmax(0, 1fr);grid-auto-flow: row } .tb-grid,.tb-grid>.block-editor-inner-blocks>.block-editor-block-list__layout{display:grid;grid-row-gap:25px;grid-column-gap:25px}.tb-grid-item{background:#d38a03;padding:30px}.tb-grid-column{flex-wrap:wrap}.tb-grid-column>*{width:100%}.tb-grid-column.tb-grid-align-top{width:100%;display:flex;align-content:flex-start}.tb-grid-column.tb-grid-align-center{width:100%;display:flex;align-content:center}.tb-grid-column.tb-grid-align-bottom{width:100%;display:flex;align-content:flex-end} .wpv-view-output[data-toolset-views-view-editor="5a1a7c534fde49a956ed153c9bdbcade"]  > .tb-grid-column:nth-of-type(1n+1) { grid-column: 1 } .wpv-view-output[data-toolset-views-view-editor="5a1a7c534fde49a956ed153c9bdbcade"] .js-wpv-loop-wrapper > .tb-grid { grid-template-columns: minmax(0, 1fr);grid-auto-flow: row } .tb-container .tb-container-inner{width:100%;margin:0 auto}  .tb-image{position:relative;transition:transform 0.25s ease}.wp-block-image .tb-image.aligncenter{margin-left:auto;margin-right:auto}.tb-image img{max-width:100%;height:auto;width:auto;transition:transform 0.25s ease}.tb-image .tb-image-caption-fit-to-image{display:table}.tb-image .tb-image-caption-fit-to-image .tb-image-caption{display:table-caption;caption-side:bottom} } 

Matemáticas y cálculo / Matematika eta kalkulua

14 Matematika metodologia

Enseñanza y aprendizaje / Irakaskuntza eta ikaskuntza

ARANTXA IRIARTE LANZ – XABIER ERREA ABAD

35 Matemáticas y lecciones en la escuela

Enseñanza y aprendizaje / Irakaskuntza eta ikaskuntza

MARISOL GOICOA IRIBARREN

30 Tablas de multiplicar y películas en clase

Enseñanza y aprendizaje / Irakaskuntza eta ikaskuntza

MARISOL GOICOA IRIBARREN