( ! ) Notice: Function _load_textdomain_just_in_time was called <strong>incorrectly</strong>. Translation loading for the <code>feeds-for-youtube</code> domain was triggered too early. This is usually an indicator for some code in the plugin or theme running too early. Translations should be loaded at the <code>init</code> action or later. Please see <a href="https://developer.wordpress.org/advanced-administration/debug/debug-wordpress/">Debugging in WordPress</a> for more information. (This message was added in version 6.7.0.) in /users/t/i/tiie/www-root/blog/wp-includes/functions.php on line 6121
Call Stack
#TimeMemoryFunctionLocation
10.0001497432{main}( ).../index.php:0
20.0001497784require( '/users/t/i/tiie/www-root/blog/wp-blog-header.php ).../index.php:17
30.0001498200require_once( '/users/t/i/tiie/www-root/blog/wp-load.php ).../wp-blog-header.php:13
40.0001498624require_once( '/users/t/i/tiie/www-root/blog/wp-config.php ).../wp-load.php:50
50.0001500264require_once( '/users/t/i/tiie/www-root/blog/wp-settings.php ).../wp-config.php:93
60.02903369024do_action( $hook_name = 'plugins_loaded' ).../wp-settings.php:578
70.02903369240WP_Hook->do_action( $args = [0 => ''] ).../plugin.php:517
80.02903369240WP_Hook->apply_filters( $value = '', $args = [0 => ''] ).../class-wp-hook.php:348
90.02973384736sby_init( '' ).../class-wp-hook.php:324
100.02973385064__( $text = 'Feeds for YouTube', $domain = 'feeds-for-youtube' ).../youtube-feed.php:126
110.02973385064translate( $text = 'Feeds for YouTube', $domain = 'feeds-for-youtube' ).../l10n.php:307
120.02973385064get_translations_for_domain( $domain = 'feeds-for-youtube' ).../l10n.php:195
130.02973385064_load_textdomain_just_in_time( $domain = 'feeds-for-youtube' ).../l10n.php:1409
140.02993391792_doing_it_wrong( $function_name = '_load_textdomain_just_in_time', $message = 'Translation loading for the <code>feeds-for-youtube</code> domain was triggered too early. This is usually an indicator for some code in the plugin or theme running too early. Translations should be loaded at the <code>init</code> action or later.', $version = '6.7.0' ).../l10n.php:1371
150.02993393136wp_trigger_error( $function_name = '', $message = 'Function _load_textdomain_just_in_time was called <strong>incorrectly</strong>. Translation loading for the <code>feeds-for-youtube</code> domain was triggered too early. This is usually an indicator for some code in the plugin or theme running too early. Translations should be loaded at the <code>init</code> action or later. Please see <a href="https://developer.wordpress.org/advanced-administration/debug/debug-wordpress/">Debugging in WordPress</a> for more information. (This message was added in version '..., $error_level = ??? ).../functions.php:6061
160.03013395584trigger_error( $message = 'Function _load_textdomain_just_in_time was called <strong>incorrectly</strong>. Translation loading for the <code>feeds-for-youtube</code> domain was triggered too early. This is usually an indicator for some code in the plugin or theme running too early. Translations should be loaded at the <code>init</code> action or later. Please see <a href="https://developer.wordpress.org/advanced-administration/debug/debug-wordpress/">Debugging in WordPress</a> for more information. (This message was added in version '..., $error_level = 1024 ).../functions.php:6121

( ! ) Warning: Cannot modify header information - headers already sent by (output started at /users/t/i/tiie/www-root/blog/wp-includes/functions.php:6121) in /users/t/i/tiie/www-root/blog/wp-includes/rest-api/class-wp-rest-server.php on line 1896
Call Stack
#TimeMemoryFunctionLocation
10.0001497432{main}( ).../index.php:0
20.0001497784require( '/users/t/i/tiie/www-root/blog/wp-blog-header.php ).../index.php:17
30.06394328976wp( $query_vars = ??? ).../wp-blog-header.php:16
40.06404329008WP->main( $query_args = '' ).../functions.php:1342
50.06404329008WP->parse_request( $extra_query_vars = '' ).../class-wp.php:818
60.06424352104do_action_ref_array( $hook_name = 'parse_request', $args = [0 => class WP { public $public_query_vars = [...]; public $private_query_vars = [...]; public $extra_query_vars = [...]; public $query_vars = [...]; public $query_string = ''; public $request = 'wp-json/wp/v2/posts/9415'; public $matched_rule = '^wp-json/(.*)?'; public $matched_query = 'rest_route=/wp%2Fv2%2Fposts%2F9415'; public $did_permalink = TRUE }] ).../class-wp.php:418
70.06424352104WP_Hook->do_action( $args = [0 => class WP { public $public_query_vars = [...]; public $private_query_vars = [...]; public $extra_query_vars = [...]; public $query_vars = [...]; public $query_string = ''; public $request = 'wp-json/wp/v2/posts/9415'; public $matched_rule = '^wp-json/(.*)?'; public $matched_query = 'rest_route=/wp%2Fv2%2Fposts%2F9415'; public $did_permalink = TRUE }] ).../plugin.php:565
80.06424352104WP_Hook->apply_filters( $value = '', $args = [0 => class WP { public $public_query_vars = [...]; public $private_query_vars = [...]; public $extra_query_vars = [...]; public $query_vars = [...]; public $query_string = ''; public $request = 'wp-json/wp/v2/posts/9415'; public $matched_rule = '^wp-json/(.*)?'; public $matched_query = 'rest_route=/wp%2Fv2%2Fposts%2F9415'; public $did_permalink = TRUE }] ).../class-wp-hook.php:348
90.06424352536rest_api_loaded( class WP { public $public_query_vars = [0 => 'm', 1 => 'p', 2 => 'posts', 3 => 'w', 4 => 'cat', 5 => 'withcomments', 6 => 'withoutcomments', 7 => 's', 8 => 'search', 9 => 'exact', 10 => 'sentence', 11 => 'calendar', 12 => 'page', 13 => 'paged', 14 => 'more', 15 => 'tb', 16 => 'pb', 17 => 'author', 18 => 'order', 19 => 'orderby', 20 => 'year', 21 => 'monthnum', 22 => 'day', 23 => 'hour', 24 => 'minute', 25 => 'second', 26 => 'name', 27 => 'category_name', 28 => 'tag', 29 => 'feed', 30 => 'author_name', 31 => 'pagename', 32 => 'page_id', 33 => 'error', 34 => 'attachment', 35 => 'attachment_id', 36 => 'subpost', 37 => 'subpost_id', 38 => 'preview', 39 => 'robots', 40 => 'favicon', 41 => 'taxonomy', 42 => 'term', 43 => 'cpage', 44 => 'post_type', 45 => 'embed', 46 => 'post_format', 47 => 'rest_route', 48 => 'sitemap', 49 => 'sitemap-subtype', 50 => 'sitemap-stylesheet']; public $private_query_vars = [0 => 'offset', 1 => 'posts_per_page', 2 => 'posts_per_archive_page', 3 => 'showposts', 4 => 'nopaging', 5 => 'post_type', 6 => 'post_status', 7 => 'category__in', 8 => 'category__not_in', 9 => 'category__and', 10 => 'tag__in', 11 => 'tag__not_in', 12 => 'tag__and', 13 => 'tag_slug__in', 14 => 'tag_slug__and', 15 => 'tag_id', 16 => 'post_mime_type', 17 => 'perm', 18 => 'comments_per_page', 19 => 'post__in', 20 => 'post__not_in', 21 => 'post_parent', 22 => 'post_parent__in', 23 => 'post_parent__not_in', 24 => 'title', 25 => 'fields']; public $extra_query_vars = []; public $query_vars = ['rest_route' => '/wp/v2/posts/9415']; public $query_string = ''; public $request = 'wp-json/wp/v2/posts/9415'; public $matched_rule = '^wp-json/(.*)?'; public $matched_query = 'rest_route=/wp%2Fv2%2Fposts%2F9415'; public $did_permalink = TRUE } ).../class-wp-hook.php:324
100.07615532032WP_REST_Server->serve_request( $path = '/wp/v2/posts/9415' ).../rest-api.php:459
110.07615531856WP_REST_Server->send_header( $key = 'Content-Type', $value = 'application/json; charset=UTF-8' ).../class-wp-rest-server.php:318
120.07615532240header( $header = 'Content-Type: application/json; charset=UTF-8' ).../class-wp-rest-server.php:1896

( ! ) Warning: Cannot modify header information - headers already sent by (output started at /users/t/i/tiie/www-root/blog/wp-includes/functions.php:6121) in /users/t/i/tiie/www-root/blog/wp-includes/rest-api/class-wp-rest-server.php on line 1896
Call Stack
#TimeMemoryFunctionLocation
10.0001497432{main}( ).../index.php:0
20.0001497784require( '/users/t/i/tiie/www-root/blog/wp-blog-header.php ).../index.php:17
30.06394328976wp( $query_vars = ??? ).../wp-blog-header.php:16
40.06404329008WP->main( $query_args = '' ).../functions.php:1342
50.06404329008WP->parse_request( $extra_query_vars = '' ).../class-wp.php:818
60.06424352104do_action_ref_array( $hook_name = 'parse_request', $args = [0 => class WP { public $public_query_vars = [...]; public $private_query_vars = [...]; public $extra_query_vars = [...]; public $query_vars = [...]; public $query_string = ''; public $request = 'wp-json/wp/v2/posts/9415'; public $matched_rule = '^wp-json/(.*)?'; public $matched_query = 'rest_route=/wp%2Fv2%2Fposts%2F9415'; public $did_permalink = TRUE }] ).../class-wp.php:418
70.06424352104WP_Hook->do_action( $args = [0 => class WP { public $public_query_vars = [...]; public $private_query_vars = [...]; public $extra_query_vars = [...]; public $query_vars = [...]; public $query_string = ''; public $request = 'wp-json/wp/v2/posts/9415'; public $matched_rule = '^wp-json/(.*)?'; public $matched_query = 'rest_route=/wp%2Fv2%2Fposts%2F9415'; public $did_permalink = TRUE }] ).../plugin.php:565
80.06424352104WP_Hook->apply_filters( $value = '', $args = [0 => class WP { public $public_query_vars = [...]; public $private_query_vars = [...]; public $extra_query_vars = [...]; public $query_vars = [...]; public $query_string = ''; public $request = 'wp-json/wp/v2/posts/9415'; public $matched_rule = '^wp-json/(.*)?'; public $matched_query = 'rest_route=/wp%2Fv2%2Fposts%2F9415'; public $did_permalink = TRUE }] ).../class-wp-hook.php:348
90.06424352536rest_api_loaded( class WP { public $public_query_vars = [0 => 'm', 1 => 'p', 2 => 'posts', 3 => 'w', 4 => 'cat', 5 => 'withcomments', 6 => 'withoutcomments', 7 => 's', 8 => 'search', 9 => 'exact', 10 => 'sentence', 11 => 'calendar', 12 => 'page', 13 => 'paged', 14 => 'more', 15 => 'tb', 16 => 'pb', 17 => 'author', 18 => 'order', 19 => 'orderby', 20 => 'year', 21 => 'monthnum', 22 => 'day', 23 => 'hour', 24 => 'minute', 25 => 'second', 26 => 'name', 27 => 'category_name', 28 => 'tag', 29 => 'feed', 30 => 'author_name', 31 => 'pagename', 32 => 'page_id', 33 => 'error', 34 => 'attachment', 35 => 'attachment_id', 36 => 'subpost', 37 => 'subpost_id', 38 => 'preview', 39 => 'robots', 40 => 'favicon', 41 => 'taxonomy', 42 => 'term', 43 => 'cpage', 44 => 'post_type', 45 => 'embed', 46 => 'post_format', 47 => 'rest_route', 48 => 'sitemap', 49 => 'sitemap-subtype', 50 => 'sitemap-stylesheet']; public $private_query_vars = [0 => 'offset', 1 => 'posts_per_page', 2 => 'posts_per_archive_page', 3 => 'showposts', 4 => 'nopaging', 5 => 'post_type', 6 => 'post_status', 7 => 'category__in', 8 => 'category__not_in', 9 => 'category__and', 10 => 'tag__in', 11 => 'tag__not_in', 12 => 'tag__and', 13 => 'tag_slug__in', 14 => 'tag_slug__and', 15 => 'tag_id', 16 => 'post_mime_type', 17 => 'perm', 18 => 'comments_per_page', 19 => 'post__in', 20 => 'post__not_in', 21 => 'post_parent', 22 => 'post_parent__in', 23 => 'post_parent__not_in', 24 => 'title', 25 => 'fields']; public $extra_query_vars = []; public $query_vars = ['rest_route' => '/wp/v2/posts/9415']; public $query_string = ''; public $request = 'wp-json/wp/v2/posts/9415'; public $matched_rule = '^wp-json/(.*)?'; public $matched_query = 'rest_route=/wp%2Fv2%2Fposts%2F9415'; public $did_permalink = TRUE } ).../class-wp-hook.php:324
100.07615532032WP_REST_Server->serve_request( $path = '/wp/v2/posts/9415' ).../rest-api.php:459
110.07655532048WP_REST_Server->send_header( $key = 'X-Robots-Tag', $value = 'noindex' ).../class-wp-rest-server.php:319
120.07655532368header( $header = 'X-Robots-Tag: noindex' ).../class-wp-rest-server.php:1896

( ! ) Warning: Cannot modify header information - headers already sent by (output started at /users/t/i/tiie/www-root/blog/wp-includes/functions.php:6121) in /users/t/i/tiie/www-root/blog/wp-includes/rest-api/class-wp-rest-server.php on line 1896
Call Stack
#TimeMemoryFunctionLocation
10.0001497432{main}( ).../index.php:0
20.0001497784require( '/users/t/i/tiie/www-root/blog/wp-blog-header.php ).../index.php:17
30.06394328976wp( $query_vars = ??? ).../wp-blog-header.php:16
40.06404329008WP->main( $query_args = '' ).../functions.php:1342
50.06404329008WP->parse_request( $extra_query_vars = '' ).../class-wp.php:818
60.06424352104do_action_ref_array( $hook_name = 'parse_request', $args = [0 => class WP { public $public_query_vars = [...]; public $private_query_vars = [...]; public $extra_query_vars = [...]; public $query_vars = [...]; public $query_string = ''; public $request = 'wp-json/wp/v2/posts/9415'; public $matched_rule = '^wp-json/(.*)?'; public $matched_query = 'rest_route=/wp%2Fv2%2Fposts%2F9415'; public $did_permalink = TRUE }] ).../class-wp.php:418
70.06424352104WP_Hook->do_action( $args = [0 => class WP { public $public_query_vars = [...]; public $private_query_vars = [...]; public $extra_query_vars = [...]; public $query_vars = [...]; public $query_string = ''; public $request = 'wp-json/wp/v2/posts/9415'; public $matched_rule = '^wp-json/(.*)?'; public $matched_query = 'rest_route=/wp%2Fv2%2Fposts%2F9415'; public $did_permalink = TRUE }] ).../plugin.php:565
80.06424352104WP_Hook->apply_filters( $value = '', $args = [0 => class WP { public $public_query_vars = [...]; public $private_query_vars = [...]; public $extra_query_vars = [...]; public $query_vars = [...]; public $query_string = ''; public $request = 'wp-json/wp/v2/posts/9415'; public $matched_rule = '^wp-json/(.*)?'; public $matched_query = 'rest_route=/wp%2Fv2%2Fposts%2F9415'; public $did_permalink = TRUE }] ).../class-wp-hook.php:348
90.06424352536rest_api_loaded( class WP { public $public_query_vars = [0 => 'm', 1 => 'p', 2 => 'posts', 3 => 'w', 4 => 'cat', 5 => 'withcomments', 6 => 'withoutcomments', 7 => 's', 8 => 'search', 9 => 'exact', 10 => 'sentence', 11 => 'calendar', 12 => 'page', 13 => 'paged', 14 => 'more', 15 => 'tb', 16 => 'pb', 17 => 'author', 18 => 'order', 19 => 'orderby', 20 => 'year', 21 => 'monthnum', 22 => 'day', 23 => 'hour', 24 => 'minute', 25 => 'second', 26 => 'name', 27 => 'category_name', 28 => 'tag', 29 => 'feed', 30 => 'author_name', 31 => 'pagename', 32 => 'page_id', 33 => 'error', 34 => 'attachment', 35 => 'attachment_id', 36 => 'subpost', 37 => 'subpost_id', 38 => 'preview', 39 => 'robots', 40 => 'favicon', 41 => 'taxonomy', 42 => 'term', 43 => 'cpage', 44 => 'post_type', 45 => 'embed', 46 => 'post_format', 47 => 'rest_route', 48 => 'sitemap', 49 => 'sitemap-subtype', 50 => 'sitemap-stylesheet']; public $private_query_vars = [0 => 'offset', 1 => 'posts_per_page', 2 => 'posts_per_archive_page', 3 => 'showposts', 4 => 'nopaging', 5 => 'post_type', 6 => 'post_status', 7 => 'category__in', 8 => 'category__not_in', 9 => 'category__and', 10 => 'tag__in', 11 => 'tag__not_in', 12 => 'tag__and', 13 => 'tag_slug__in', 14 => 'tag_slug__and', 15 => 'tag_id', 16 => 'post_mime_type', 17 => 'perm', 18 => 'comments_per_page', 19 => 'post__in', 20 => 'post__not_in', 21 => 'post_parent', 22 => 'post_parent__in', 23 => 'post_parent__not_in', 24 => 'title', 25 => 'fields']; public $extra_query_vars = []; public $query_vars = ['rest_route' => '/wp/v2/posts/9415']; public $query_string = ''; public $request = 'wp-json/wp/v2/posts/9415'; public $matched_rule = '^wp-json/(.*)?'; public $matched_query = 'rest_route=/wp%2Fv2%2Fposts%2F9415'; public $did_permalink = TRUE } ).../class-wp-hook.php:324
100.07615532032WP_REST_Server->serve_request( $path = '/wp/v2/posts/9415' ).../rest-api.php:459
110.07685532208WP_REST_Server->send_header( $key = 'Link', $value = '<https://tiie.w3.uvm.edu/blog/wp-json/>; rel="https://api.w.org/"' ).../class-wp-rest-server.php:323
120.07685532640header( $header = 'Link: <https://tiie.w3.uvm.edu/blog/wp-json/>; rel="https://api.w.org/"' ).../class-wp-rest-server.php:1896

( ! ) Warning: Cannot modify header information - headers already sent by (output started at /users/t/i/tiie/www-root/blog/wp-includes/functions.php:6121) in /users/t/i/tiie/www-root/blog/wp-includes/rest-api/class-wp-rest-server.php on line 1896
Call Stack
#TimeMemoryFunctionLocation
10.0001497432{main}( ).../index.php:0
20.0001497784require( '/users/t/i/tiie/www-root/blog/wp-blog-header.php ).../index.php:17
30.06394328976wp( $query_vars = ??? ).../wp-blog-header.php:16
40.06404329008WP->main( $query_args = '' ).../functions.php:1342
50.06404329008WP->parse_request( $extra_query_vars = '' ).../class-wp.php:818
60.06424352104do_action_ref_array( $hook_name = 'parse_request', $args = [0 => class WP { public $public_query_vars = [...]; public $private_query_vars = [...]; public $extra_query_vars = [...]; public $query_vars = [...]; public $query_string = ''; public $request = 'wp-json/wp/v2/posts/9415'; public $matched_rule = '^wp-json/(.*)?'; public $matched_query = 'rest_route=/wp%2Fv2%2Fposts%2F9415'; public $did_permalink = TRUE }] ).../class-wp.php:418
70.06424352104WP_Hook->do_action( $args = [0 => class WP { public $public_query_vars = [...]; public $private_query_vars = [...]; public $extra_query_vars = [...]; public $query_vars = [...]; public $query_string = ''; public $request = 'wp-json/wp/v2/posts/9415'; public $matched_rule = '^wp-json/(.*)?'; public $matched_query = 'rest_route=/wp%2Fv2%2Fposts%2F9415'; public $did_permalink = TRUE }] ).../plugin.php:565
80.06424352104WP_Hook->apply_filters( $value = '', $args = [0 => class WP { public $public_query_vars = [...]; public $private_query_vars = [...]; public $extra_query_vars = [...]; public $query_vars = [...]; public $query_string = ''; public $request = 'wp-json/wp/v2/posts/9415'; public $matched_rule = '^wp-json/(.*)?'; public $matched_query = 'rest_route=/wp%2Fv2%2Fposts%2F9415'; public $did_permalink = TRUE }] ).../class-wp-hook.php:348
90.06424352536rest_api_loaded( class WP { public $public_query_vars = [0 => 'm', 1 => 'p', 2 => 'posts', 3 => 'w', 4 => 'cat', 5 => 'withcomments', 6 => 'withoutcomments', 7 => 's', 8 => 'search', 9 => 'exact', 10 => 'sentence', 11 => 'calendar', 12 => 'page', 13 => 'paged', 14 => 'more', 15 => 'tb', 16 => 'pb', 17 => 'author', 18 => 'order', 19 => 'orderby', 20 => 'year', 21 => 'monthnum', 22 => 'day', 23 => 'hour', 24 => 'minute', 25 => 'second', 26 => 'name', 27 => 'category_name', 28 => 'tag', 29 => 'feed', 30 => 'author_name', 31 => 'pagename', 32 => 'page_id', 33 => 'error', 34 => 'attachment', 35 => 'attachment_id', 36 => 'subpost', 37 => 'subpost_id', 38 => 'preview', 39 => 'robots', 40 => 'favicon', 41 => 'taxonomy', 42 => 'term', 43 => 'cpage', 44 => 'post_type', 45 => 'embed', 46 => 'post_format', 47 => 'rest_route', 48 => 'sitemap', 49 => 'sitemap-subtype', 50 => 'sitemap-stylesheet']; public $private_query_vars = [0 => 'offset', 1 => 'posts_per_page', 2 => 'posts_per_archive_page', 3 => 'showposts', 4 => 'nopaging', 5 => 'post_type', 6 => 'post_status', 7 => 'category__in', 8 => 'category__not_in', 9 => 'category__and', 10 => 'tag__in', 11 => 'tag__not_in', 12 => 'tag__and', 13 => 'tag_slug__in', 14 => 'tag_slug__and', 15 => 'tag_id', 16 => 'post_mime_type', 17 => 'perm', 18 => 'comments_per_page', 19 => 'post__in', 20 => 'post__not_in', 21 => 'post_parent', 22 => 'post_parent__in', 23 => 'post_parent__not_in', 24 => 'title', 25 => 'fields']; public $extra_query_vars = []; public $query_vars = ['rest_route' => '/wp/v2/posts/9415']; public $query_string = ''; public $request = 'wp-json/wp/v2/posts/9415'; public $matched_rule = '^wp-json/(.*)?'; public $matched_query = 'rest_route=/wp%2Fv2%2Fposts%2F9415'; public $did_permalink = TRUE } ).../class-wp-hook.php:324
100.07615532032WP_REST_Server->serve_request( $path = '/wp/v2/posts/9415' ).../rest-api.php:459
110.07705532112WP_REST_Server->send_header( $key = 'X-Content-Type-Options', $value = 'nosniff' ).../class-wp-rest-server.php:331
120.07705532432header( $header = 'X-Content-Type-Options: nosniff' ).../class-wp-rest-server.php:1896

( ! ) Warning: Cannot modify header information - headers already sent by (output started at /users/t/i/tiie/www-root/blog/wp-includes/functions.php:6121) in /users/t/i/tiie/www-root/blog/wp-includes/rest-api/class-wp-rest-server.php on line 1896
Call Stack
#TimeMemoryFunctionLocation
10.0001497432{main}( ).../index.php:0
20.0001497784require( '/users/t/i/tiie/www-root/blog/wp-blog-header.php ).../index.php:17
30.06394328976wp( $query_vars = ??? ).../wp-blog-header.php:16
40.06404329008WP->main( $query_args = '' ).../functions.php:1342
50.06404329008WP->parse_request( $extra_query_vars = '' ).../class-wp.php:818
60.06424352104do_action_ref_array( $hook_name = 'parse_request', $args = [0 => class WP { public $public_query_vars = [...]; public $private_query_vars = [...]; public $extra_query_vars = [...]; public $query_vars = [...]; public $query_string = ''; public $request = 'wp-json/wp/v2/posts/9415'; public $matched_rule = '^wp-json/(.*)?'; public $matched_query = 'rest_route=/wp%2Fv2%2Fposts%2F9415'; public $did_permalink = TRUE }] ).../class-wp.php:418
70.06424352104WP_Hook->do_action( $args = [0 => class WP { public $public_query_vars = [...]; public $private_query_vars = [...]; public $extra_query_vars = [...]; public $query_vars = [...]; public $query_string = ''; public $request = 'wp-json/wp/v2/posts/9415'; public $matched_rule = '^wp-json/(.*)?'; public $matched_query = 'rest_route=/wp%2Fv2%2Fposts%2F9415'; public $did_permalink = TRUE }] ).../plugin.php:565
80.06424352104WP_Hook->apply_filters( $value = '', $args = [0 => class WP { public $public_query_vars = [...]; public $private_query_vars = [...]; public $extra_query_vars = [...]; public $query_vars = [...]; public $query_string = ''; public $request = 'wp-json/wp/v2/posts/9415'; public $matched_rule = '^wp-json/(.*)?'; public $matched_query = 'rest_route=/wp%2Fv2%2Fposts%2F9415'; public $did_permalink = TRUE }] ).../class-wp-hook.php:348
90.06424352536rest_api_loaded( class WP { public $public_query_vars = [0 => 'm', 1 => 'p', 2 => 'posts', 3 => 'w', 4 => 'cat', 5 => 'withcomments', 6 => 'withoutcomments', 7 => 's', 8 => 'search', 9 => 'exact', 10 => 'sentence', 11 => 'calendar', 12 => 'page', 13 => 'paged', 14 => 'more', 15 => 'tb', 16 => 'pb', 17 => 'author', 18 => 'order', 19 => 'orderby', 20 => 'year', 21 => 'monthnum', 22 => 'day', 23 => 'hour', 24 => 'minute', 25 => 'second', 26 => 'name', 27 => 'category_name', 28 => 'tag', 29 => 'feed', 30 => 'author_name', 31 => 'pagename', 32 => 'page_id', 33 => 'error', 34 => 'attachment', 35 => 'attachment_id', 36 => 'subpost', 37 => 'subpost_id', 38 => 'preview', 39 => 'robots', 40 => 'favicon', 41 => 'taxonomy', 42 => 'term', 43 => 'cpage', 44 => 'post_type', 45 => 'embed', 46 => 'post_format', 47 => 'rest_route', 48 => 'sitemap', 49 => 'sitemap-subtype', 50 => 'sitemap-stylesheet']; public $private_query_vars = [0 => 'offset', 1 => 'posts_per_page', 2 => 'posts_per_archive_page', 3 => 'showposts', 4 => 'nopaging', 5 => 'post_type', 6 => 'post_status', 7 => 'category__in', 8 => 'category__not_in', 9 => 'category__and', 10 => 'tag__in', 11 => 'tag__not_in', 12 => 'tag__and', 13 => 'tag_slug__in', 14 => 'tag_slug__and', 15 => 'tag_id', 16 => 'post_mime_type', 17 => 'perm', 18 => 'comments_per_page', 19 => 'post__in', 20 => 'post__not_in', 21 => 'post_parent', 22 => 'post_parent__in', 23 => 'post_parent__not_in', 24 => 'title', 25 => 'fields']; public $extra_query_vars = []; public $query_vars = ['rest_route' => '/wp/v2/posts/9415']; public $query_string = ''; public $request = 'wp-json/wp/v2/posts/9415'; public $matched_rule = '^wp-json/(.*)?'; public $matched_query = 'rest_route=/wp%2Fv2%2Fposts%2F9415'; public $did_permalink = TRUE } ).../class-wp-hook.php:324
100.07615532032WP_REST_Server->serve_request( $path = '/wp/v2/posts/9415' ).../rest-api.php:459
110.07745537112WP_REST_Server->send_header( $key = 'Access-Control-Expose-Headers', $value = 'X-WP-Total, X-WP-TotalPages, Link' ).../class-wp-rest-server.php:408
120.07745537496header( $header = 'Access-Control-Expose-Headers: X-WP-Total, X-WP-TotalPages, Link' ).../class-wp-rest-server.php:1896

( ! ) Warning: Cannot modify header information - headers already sent by (output started at /users/t/i/tiie/www-root/blog/wp-includes/functions.php:6121) in /users/t/i/tiie/www-root/blog/wp-includes/rest-api/class-wp-rest-server.php on line 1896
Call Stack
#TimeMemoryFunctionLocation
10.0001497432{main}( ).../index.php:0
20.0001497784require( '/users/t/i/tiie/www-root/blog/wp-blog-header.php ).../index.php:17
30.06394328976wp( $query_vars = ??? ).../wp-blog-header.php:16
40.06404329008WP->main( $query_args = '' ).../functions.php:1342
50.06404329008WP->parse_request( $extra_query_vars = '' ).../class-wp.php:818
60.06424352104do_action_ref_array( $hook_name = 'parse_request', $args = [0 => class WP { public $public_query_vars = [...]; public $private_query_vars = [...]; public $extra_query_vars = [...]; public $query_vars = [...]; public $query_string = ''; public $request = 'wp-json/wp/v2/posts/9415'; public $matched_rule = '^wp-json/(.*)?'; public $matched_query = 'rest_route=/wp%2Fv2%2Fposts%2F9415'; public $did_permalink = TRUE }] ).../class-wp.php:418
70.06424352104WP_Hook->do_action( $args = [0 => class WP { public $public_query_vars = [...]; public $private_query_vars = [...]; public $extra_query_vars = [...]; public $query_vars = [...]; public $query_string = ''; public $request = 'wp-json/wp/v2/posts/9415'; public $matched_rule = '^wp-json/(.*)?'; public $matched_query = 'rest_route=/wp%2Fv2%2Fposts%2F9415'; public $did_permalink = TRUE }] ).../plugin.php:565
80.06424352104WP_Hook->apply_filters( $value = '', $args = [0 => class WP { public $public_query_vars = [...]; public $private_query_vars = [...]; public $extra_query_vars = [...]; public $query_vars = [...]; public $query_string = ''; public $request = 'wp-json/wp/v2/posts/9415'; public $matched_rule = '^wp-json/(.*)?'; public $matched_query = 'rest_route=/wp%2Fv2%2Fposts%2F9415'; public $did_permalink = TRUE }] ).../class-wp-hook.php:348
90.06424352536rest_api_loaded( class WP { public $public_query_vars = [0 => 'm', 1 => 'p', 2 => 'posts', 3 => 'w', 4 => 'cat', 5 => 'withcomments', 6 => 'withoutcomments', 7 => 's', 8 => 'search', 9 => 'exact', 10 => 'sentence', 11 => 'calendar', 12 => 'page', 13 => 'paged', 14 => 'more', 15 => 'tb', 16 => 'pb', 17 => 'author', 18 => 'order', 19 => 'orderby', 20 => 'year', 21 => 'monthnum', 22 => 'day', 23 => 'hour', 24 => 'minute', 25 => 'second', 26 => 'name', 27 => 'category_name', 28 => 'tag', 29 => 'feed', 30 => 'author_name', 31 => 'pagename', 32 => 'page_id', 33 => 'error', 34 => 'attachment', 35 => 'attachment_id', 36 => 'subpost', 37 => 'subpost_id', 38 => 'preview', 39 => 'robots', 40 => 'favicon', 41 => 'taxonomy', 42 => 'term', 43 => 'cpage', 44 => 'post_type', 45 => 'embed', 46 => 'post_format', 47 => 'rest_route', 48 => 'sitemap', 49 => 'sitemap-subtype', 50 => 'sitemap-stylesheet']; public $private_query_vars = [0 => 'offset', 1 => 'posts_per_page', 2 => 'posts_per_archive_page', 3 => 'showposts', 4 => 'nopaging', 5 => 'post_type', 6 => 'post_status', 7 => 'category__in', 8 => 'category__not_in', 9 => 'category__and', 10 => 'tag__in', 11 => 'tag__not_in', 12 => 'tag__and', 13 => 'tag_slug__in', 14 => 'tag_slug__and', 15 => 'tag_id', 16 => 'post_mime_type', 17 => 'perm', 18 => 'comments_per_page', 19 => 'post__in', 20 => 'post__not_in', 21 => 'post_parent', 22 => 'post_parent__in', 23 => 'post_parent__not_in', 24 => 'title', 25 => 'fields']; public $extra_query_vars = []; public $query_vars = ['rest_route' => '/wp/v2/posts/9415']; public $query_string = ''; public $request = 'wp-json/wp/v2/posts/9415'; public $matched_rule = '^wp-json/(.*)?'; public $matched_query = 'rest_route=/wp%2Fv2%2Fposts%2F9415'; public $did_permalink = TRUE } ).../class-wp-hook.php:324
100.07615532032WP_REST_Server->serve_request( $path = '/wp/v2/posts/9415' ).../rest-api.php:459
110.07765537160WP_REST_Server->send_header( $key = 'Access-Control-Allow-Headers', $value = 'Authorization, X-WP-Nonce, Content-Disposition, Content-MD5, Content-Type' ).../class-wp-rest-server.php:434
120.07765537592header( $header = 'Access-Control-Allow-Headers: Authorization, X-WP-Nonce, Content-Disposition, Content-MD5, Content-Type' ).../class-wp-rest-server.php:1896

( ! ) Warning: Cannot modify header information - headers already sent by (output started at /users/t/i/tiie/www-root/blog/wp-includes/functions.php:6121) in /users/t/i/tiie/www-root/blog/wp-includes/rest-api/class-wp-rest-server.php on line 1896
Call Stack
#TimeMemoryFunctionLocation
10.0001497432{main}( ).../index.php:0
20.0001497784require( '/users/t/i/tiie/www-root/blog/wp-blog-header.php ).../index.php:17
30.06394328976wp( $query_vars = ??? ).../wp-blog-header.php:16
40.06404329008WP->main( $query_args = '' ).../functions.php:1342
50.06404329008WP->parse_request( $extra_query_vars = '' ).../class-wp.php:818
60.06424352104do_action_ref_array( $hook_name = 'parse_request', $args = [0 => class WP { public $public_query_vars = [...]; public $private_query_vars = [...]; public $extra_query_vars = [...]; public $query_vars = [...]; public $query_string = ''; public $request = 'wp-json/wp/v2/posts/9415'; public $matched_rule = '^wp-json/(.*)?'; public $matched_query = 'rest_route=/wp%2Fv2%2Fposts%2F9415'; public $did_permalink = TRUE }] ).../class-wp.php:418
70.06424352104WP_Hook->do_action( $args = [0 => class WP { public $public_query_vars = [...]; public $private_query_vars = [...]; public $extra_query_vars = [...]; public $query_vars = [...]; public $query_string = ''; public $request = 'wp-json/wp/v2/posts/9415'; public $matched_rule = '^wp-json/(.*)?'; public $matched_query = 'rest_route=/wp%2Fv2%2Fposts%2F9415'; public $did_permalink = TRUE }] ).../plugin.php:565
80.06424352104WP_Hook->apply_filters( $value = '', $args = [0 => class WP { public $public_query_vars = [...]; public $private_query_vars = [...]; public $extra_query_vars = [...]; public $query_vars = [...]; public $query_string = ''; public $request = 'wp-json/wp/v2/posts/9415'; public $matched_rule = '^wp-json/(.*)?'; public $matched_query = 'rest_route=/wp%2Fv2%2Fposts%2F9415'; public $did_permalink = TRUE }] ).../class-wp-hook.php:348
90.06424352536rest_api_loaded( class WP { public $public_query_vars = [0 => 'm', 1 => 'p', 2 => 'posts', 3 => 'w', 4 => 'cat', 5 => 'withcomments', 6 => 'withoutcomments', 7 => 's', 8 => 'search', 9 => 'exact', 10 => 'sentence', 11 => 'calendar', 12 => 'page', 13 => 'paged', 14 => 'more', 15 => 'tb', 16 => 'pb', 17 => 'author', 18 => 'order', 19 => 'orderby', 20 => 'year', 21 => 'monthnum', 22 => 'day', 23 => 'hour', 24 => 'minute', 25 => 'second', 26 => 'name', 27 => 'category_name', 28 => 'tag', 29 => 'feed', 30 => 'author_name', 31 => 'pagename', 32 => 'page_id', 33 => 'error', 34 => 'attachment', 35 => 'attachment_id', 36 => 'subpost', 37 => 'subpost_id', 38 => 'preview', 39 => 'robots', 40 => 'favicon', 41 => 'taxonomy', 42 => 'term', 43 => 'cpage', 44 => 'post_type', 45 => 'embed', 46 => 'post_format', 47 => 'rest_route', 48 => 'sitemap', 49 => 'sitemap-subtype', 50 => 'sitemap-stylesheet']; public $private_query_vars = [0 => 'offset', 1 => 'posts_per_page', 2 => 'posts_per_archive_page', 3 => 'showposts', 4 => 'nopaging', 5 => 'post_type', 6 => 'post_status', 7 => 'category__in', 8 => 'category__not_in', 9 => 'category__and', 10 => 'tag__in', 11 => 'tag__not_in', 12 => 'tag__and', 13 => 'tag_slug__in', 14 => 'tag_slug__and', 15 => 'tag_id', 16 => 'post_mime_type', 17 => 'perm', 18 => 'comments_per_page', 19 => 'post__in', 20 => 'post__not_in', 21 => 'post_parent', 22 => 'post_parent__in', 23 => 'post_parent__not_in', 24 => 'title', 25 => 'fields']; public $extra_query_vars = []; public $query_vars = ['rest_route' => '/wp/v2/posts/9415']; public $query_string = ''; public $request = 'wp-json/wp/v2/posts/9415'; public $matched_rule = '^wp-json/(.*)?'; public $matched_query = 'rest_route=/wp%2Fv2%2Fposts%2F9415'; public $did_permalink = TRUE } ).../class-wp-hook.php:324
100.07615532032WP_REST_Server->serve_request( $path = '/wp/v2/posts/9415' ).../rest-api.php:459
110.20255901936WP_REST_Server->send_headers( $headers = ['Link' => '<https://tiie.w3.uvm.edu/blog/project-based-learning-and-math/>; rel="alternate"; type=text/html', 'Allow' => 'GET'] ).../class-wp-rest-server.php:472
120.20255901936WP_REST_Server->send_header( $key = 'Link', $value = '<https://tiie.w3.uvm.edu/blog/project-based-learning-and-math/>; rel="alternate"; type=text/html' ).../class-wp-rest-server.php:1908
130.20255902416header( $header = 'Link: <https://tiie.w3.uvm.edu/blog/project-based-learning-and-math/>; rel="alternate"; type=text/html' ).../class-wp-rest-server.php:1896

( ! ) Warning: Cannot modify header information - headers already sent by (output started at /users/t/i/tiie/www-root/blog/wp-includes/functions.php:6121) in /users/t/i/tiie/www-root/blog/wp-includes/rest-api/class-wp-rest-server.php on line 1896
Call Stack
#TimeMemoryFunctionLocation
10.0001497432{main}( ).../index.php:0
20.0001497784require( '/users/t/i/tiie/www-root/blog/wp-blog-header.php ).../index.php:17
30.06394328976wp( $query_vars = ??? ).../wp-blog-header.php:16
40.06404329008WP->main( $query_args = '' ).../functions.php:1342
50.06404329008WP->parse_request( $extra_query_vars = '' ).../class-wp.php:818
60.06424352104do_action_ref_array( $hook_name = 'parse_request', $args = [0 => class WP { public $public_query_vars = [...]; public $private_query_vars = [...]; public $extra_query_vars = [...]; public $query_vars = [...]; public $query_string = ''; public $request = 'wp-json/wp/v2/posts/9415'; public $matched_rule = '^wp-json/(.*)?'; public $matched_query = 'rest_route=/wp%2Fv2%2Fposts%2F9415'; public $did_permalink = TRUE }] ).../class-wp.php:418
70.06424352104WP_Hook->do_action( $args = [0 => class WP { public $public_query_vars = [...]; public $private_query_vars = [...]; public $extra_query_vars = [...]; public $query_vars = [...]; public $query_string = ''; public $request = 'wp-json/wp/v2/posts/9415'; public $matched_rule = '^wp-json/(.*)?'; public $matched_query = 'rest_route=/wp%2Fv2%2Fposts%2F9415'; public $did_permalink = TRUE }] ).../plugin.php:565
80.06424352104WP_Hook->apply_filters( $value = '', $args = [0 => class WP { public $public_query_vars = [...]; public $private_query_vars = [...]; public $extra_query_vars = [...]; public $query_vars = [...]; public $query_string = ''; public $request = 'wp-json/wp/v2/posts/9415'; public $matched_rule = '^wp-json/(.*)?'; public $matched_query = 'rest_route=/wp%2Fv2%2Fposts%2F9415'; public $did_permalink = TRUE }] ).../class-wp-hook.php:348
90.06424352536rest_api_loaded( class WP { public $public_query_vars = [0 => 'm', 1 => 'p', 2 => 'posts', 3 => 'w', 4 => 'cat', 5 => 'withcomments', 6 => 'withoutcomments', 7 => 's', 8 => 'search', 9 => 'exact', 10 => 'sentence', 11 => 'calendar', 12 => 'page', 13 => 'paged', 14 => 'more', 15 => 'tb', 16 => 'pb', 17 => 'author', 18 => 'order', 19 => 'orderby', 20 => 'year', 21 => 'monthnum', 22 => 'day', 23 => 'hour', 24 => 'minute', 25 => 'second', 26 => 'name', 27 => 'category_name', 28 => 'tag', 29 => 'feed', 30 => 'author_name', 31 => 'pagename', 32 => 'page_id', 33 => 'error', 34 => 'attachment', 35 => 'attachment_id', 36 => 'subpost', 37 => 'subpost_id', 38 => 'preview', 39 => 'robots', 40 => 'favicon', 41 => 'taxonomy', 42 => 'term', 43 => 'cpage', 44 => 'post_type', 45 => 'embed', 46 => 'post_format', 47 => 'rest_route', 48 => 'sitemap', 49 => 'sitemap-subtype', 50 => 'sitemap-stylesheet']; public $private_query_vars = [0 => 'offset', 1 => 'posts_per_page', 2 => 'posts_per_archive_page', 3 => 'showposts', 4 => 'nopaging', 5 => 'post_type', 6 => 'post_status', 7 => 'category__in', 8 => 'category__not_in', 9 => 'category__and', 10 => 'tag__in', 11 => 'tag__not_in', 12 => 'tag__and', 13 => 'tag_slug__in', 14 => 'tag_slug__and', 15 => 'tag_id', 16 => 'post_mime_type', 17 => 'perm', 18 => 'comments_per_page', 19 => 'post__in', 20 => 'post__not_in', 21 => 'post_parent', 22 => 'post_parent__in', 23 => 'post_parent__not_in', 24 => 'title', 25 => 'fields']; public $extra_query_vars = []; public $query_vars = ['rest_route' => '/wp/v2/posts/9415']; public $query_string = ''; public $request = 'wp-json/wp/v2/posts/9415'; public $matched_rule = '^wp-json/(.*)?'; public $matched_query = 'rest_route=/wp%2Fv2%2Fposts%2F9415'; public $did_permalink = TRUE } ).../class-wp-hook.php:324
100.07615532032WP_REST_Server->serve_request( $path = '/wp/v2/posts/9415' ).../rest-api.php:459
110.20255901936WP_REST_Server->send_headers( $headers = ['Link' => '<https://tiie.w3.uvm.edu/blog/project-based-learning-and-math/>; rel="alternate"; type=text/html', 'Allow' => 'GET'] ).../class-wp-rest-server.php:472
120.20295901936WP_REST_Server->send_header( $key = 'Allow', $value = 'GET' ).../class-wp-rest-server.php:1908
130.20295902256header( $header = 'Allow: GET' ).../class-wp-rest-server.php:1896
{"id":9415,"date":"2016-04-21T10:42:05","date_gmt":"2016-04-21T14:42:05","guid":{"rendered":"http:\/\/tiie.w3.uvm.edu\/blog\/?p=9415"},"modified":"2022-04-22T13:06:19","modified_gmt":"2022-04-22T17:06:19","slug":"project-based-learning-and-math","status":"publish","type":"post","link":"https:\/\/tiie.w3.uvm.edu\/blog\/project-based-learning-and-math\/","title":{"rendered":"Project-based learning and math"},"content":{"rendered":"

<\/h1>\n

How much do you want to change the world?<\/h1>\n

\"real-world<\/a>As project-based learning gives students a way to tackle authentic problems in the world and accomplish tangible change while learning, let’s not forget that math can and does sneak in everywhere. So if you have students who think math doesn’t add up, let them explore their passion for problem-solving and don’t mention how much math you see them doing.<\/p>\n

<\/p>\n

PB what?<\/h2>\n

More and more, we are seeing project-based learning (PBL) infused into math and or STEM curriculums. Just so we’re all on the same page, lets look at The Buck Institute<\/a>‘s definition of PBL:<\/p>\n

Project Based Learning<\/b> is a teaching method in which students gain knowledge and skills by working for an extended period of time to investigate and respond to an engaging and complex question, problem, or challenge.<\/p><\/blockquote>\n

Or in other words:<\/p>\n

http:\/https:\/\/www.youtube.com\/watch?v=LMCZvGesRz8<\/a><\/p>\n

Along those same lines, Class Projects and Project Based Learning have also been mistakenly used interchangeably. The NewTech Network<\/a> has create a nice graphic that helps show the difference.<\/p>\n

\"01projectvpblgrey_0_pdf\"<\/a>
click to enlarge<\/figcaption><\/figure>\n

But why move to project-based learning?<\/h2>\n

The research is overwhelmingly positive when measuring gains in achievement and content knowledge, self confidence, collaboration and engagement. For an a comprehensive review of literature, please check out:<\/p>\n

Project Based Instruction: A review of Literature on Effectiveness in Pre-Kindergarten through 12th Grade Classrooms\u00a0<\/a><\/p>\n

This Edutopia article,\u00a0Why is Project Based Learning Important<\/a>\u00a0<\/em>states that PBL:<\/p>\n