High School and Pre-College Differential Equations Teachers

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Created
27 Aug 2019

Welcome to this High School and Pre-College Differential Equations Teachers Group!

Here you will find colleagues with interest in using modeling to motivate teaching differential equations and issues related specifically to high schools. You can also expect materials, data, activities, etc. which are for broader use of modeling in your other mathematics classes, e.g., meaning and modeling of exponential processes.

We will grow and enrich this group experience with many opportunities once we migrate our whole SIMIODE community to QUBES at this end of July 2021.

Comments

  1. Cecil B Flournoy Jr

    Hello all,

    I am curious on what resources you use in teaching Differential Equations.  I read the article, 

    TEN LESSONS I WISH I HAD LEARNED BEFORE I STARTED TEACHING DIFFERENTIAL EQUATIONS after my first year and felt that I had spent too much time teaching methods that weren't that relevant and not enough time with applications and problem solving techniques.  I am currently using A First Course in Differential Equations with Modeling Applications by Dennis Zill as a textbook but have started looking at Differential Equations 4th edition by Blanchard and Devaney because of its focus on getting to actual problem solving.  I am also curious to see what Topics other people cover and which topics are skipped.

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  2. Mufid Abudiab

    I spent most of my teaching career working in Texas. This is the first time I realize that differential equations is taught at high school level. I am aware that a chapter on differential equations is introduced in Calculus II for advanced students.

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  3. J├Ârgen Teichter

    Hi!

    I usually start with an introduction using the physical quantities position, speed and acceleration.

    In what way the quantities are changing using derivative and integral. The step to differential equation is done by using a real life application outside. There are plenty to choose among. 

    The first discussion will be in what way we can model the application by the use of these physical quantities using words and drawings. The next step will be the differential equation notation. 

    Then discussion about (using words and drawings) how to solve the differential equation by changing the quantities. The next step will be solving the differential equation using notation.

    Using a textbook isn't the first choice for me. The students have to understand the concept before I introduce problems from textbooks.

    The curriculum determines what topics to be dealt with. I can't skip those topics since they are mandatory.

    Report abuse


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  77. SELECT r.id, r.name, r.permissions
      FROM `jos_xgroups_roles` as r, `jos_xgroups_member_roles` as m
      WHERE r.id=m.roleid
      AND m.uidNumber='6016'
      AND r.gidNumber='1447'
  78. SELECT r.id, r.name, r.permissions
      FROM `jos_xgroups_roles` as r, `jos_xgroups_member_roles` as m
      WHERE r.id=m.roleid
      AND m.uidNumber='6026'
      AND r.gidNumber='1447'
  79. SELECT r.id, r.name, r.permissions
      FROM `jos_xgroups_roles` as r, `jos_xgroups_member_roles` as m
      WHERE r.id=m.roleid
      AND m.uidNumber='6052'
      AND r.gidNumber='1447'
  80. SELECT r.id, r.name, r.permissions
      FROM `jos_xgroups_roles` as r, `jos_xgroups_member_roles` as m
      WHERE r.id=m.roleid
      AND m.uidNumber='6056'
      AND r.gidNumber='1447'
  81. SELECT r.id, r.name, r.permissions
      FROM `jos_xgroups_roles` as r, `jos_xgroups_member_roles` as m
      WHERE r.id=m.roleid
      AND m.uidNumber='6090'
      AND r.gidNumber='1447'
  82. SELECT COUNT(jos_item_comments.id) AS count
      FROM `jos_item_comments`
      WHERE `jos_item_comments`.`item_type` = 'groups'
      AND `jos_item_comments`.`item_id` = '264'
      AND `jos_item_comments`.`parent` = '0'
      AND `jos_item_comments`.`state` IN ('1','3')
      LIMIT 25
  83. SELECT *
      FROM `jos_item_comments`
      WHERE `jos_item_comments`.`item_type` = 'groups'
      AND `jos_item_comments`.`item_id` = '264'
      AND `jos_item_comments`.`parent` = '0'
      AND `jos_item_comments`.`state` IN ('1','3')
      ORDER BY `created` ASC
      LIMIT 20
  84. SELECT *
      FROM `jos_users`
      WHERE `jos_users`.`id` = '4955'
  85. SELECT *
      FROM `jos_xprofiles`
      WHERE uidNumber = '4955';
  86. SELECT *
      FROM `jos_item_comment_files`
      WHERE `jos_item_comment_files`.`comment_id` = '126'
  87. SELECT extension_id AS id,element AS "option",params,enabled
      FROM `jos_extensions`
      WHERE `type` = 'component'
      AND `element` = 'com_support'
  88. SELECT *
      FROM `jos_item_comments`
      WHERE `jos_item_comments`.`parent` = '126'
      AND `jos_item_comments`.`item_type` = 'groups'
      AND `jos_item_comments`.`item_id` = '264'
      AND `jos_item_comments`.`state` IN ('1','3')
      AND `jos_item_comments`.`access` IN ('1','1','4')
      ORDER BY `created` ASC
  89. SELECT *
      FROM `jos_users`
      WHERE `jos_users`.`id` = '3241'
  90. SELECT *
      FROM `jos_xprofiles`
      WHERE uidNumber = '3241';
  91. SELECT *
      FROM `jos_item_comment_files`
      WHERE `jos_item_comment_files`.`comment_id` = '127'
  92. SELECT *
      FROM `jos_item_comments`
      WHERE `jos_item_comments`.`parent` = '127'
      AND `jos_item_comments`.`item_type` = 'groups'
      AND `jos_item_comments`.`item_id` = '264'
      AND `jos_item_comments`.`state` IN ('1','3')
      AND `jos_item_comments`.`access` IN ('1','1','4')
      ORDER BY `created` ASC
  93. SELECT *
      FROM `jos_users`
      WHERE `jos_users`.`id` = '5985'
  94. SELECT *
      FROM `jos_xprofiles`
      WHERE uidNumber = '5985';
  95. SELECT *
      FROM `jos_item_comment_files`
      WHERE `jos_item_comment_files`.`comment_id` = '137'
  96. SELECT *
      FROM `jos_item_comments`
      WHERE `jos_item_comments`.`parent` = '137'
      AND `jos_item_comments`.`item_type` = 'groups'
      AND `jos_item_comments`.`item_id` = '264'
      AND `jos_item_comments`.`state` IN ('1','3')
      AND `jos_item_comments`.`access` IN ('1','1','4')
      ORDER BY `created` ASC
  97. SELECT COUNT(jos_announcements.id) AS count
      FROM `jos_announcements`
      WHERE `jos_announcements`.`scope` = '
      group'
      AND `jos_announcements`.`scope_id` = '1447'
      AND `jos_announcements`.`state` = '1'
      AND (`jos_announcements`.`publish_up` IS NULL OR `jos_announcements`.`publish_up` <= '2021-09-24 03:30:41' )
      AND (`jos_announcements`.`publish_down` IS NULL OR `jos_announcements`.`publish_down` >= '2021-09-24 03:30:41' )
  98. SELECT extension_id AS id,element AS "option",params,enabled
      FROM `jos_extensions`
      WHERE `type` = 'component'
      AND `element` = 'com_blog'
  99. SELECT COUNT(jos_blog_entries.id) AS count
      FROM `jos_blog_entries`
      WHERE `jos_blog_entries`.`scope` = '
      group'
      AND `jos_blog_entries`.`scope_id` = '1447'
      AND `jos_blog_entries`.`state` IN ('1')
      AND `jos_blog_entries`.`access` IN ('1','1','4')
      AND (`jos_blog_entries`.`publish_up` IS NULL OR `jos_blog_entries`.`publish_up` <= '2021-09-24 03:30:41' )
      AND (`jos_blog_entries`.`publish_down` IS NULL OR `jos_blog_entries`.`publish_down` >= '2021-09-24 03:30:41' )
  100. SELECT COUNT(*)
      FROM `jos_events`
      WHERE scope='
      group'
      AND scope_id=1447
      AND state=1
      AND (publish_up >='2021-09-24 03:30:41' OR publish_down >= '2021-09-24 03:30:41')
  101. SELECT COUNT(*)
      FROM `jos_events`
      WHERE scope='
      group'
      AND scope_id=1447
      AND state=1
      AND (publish_up >= '2021-09-24 03:30:41' OR publish_down >= '2021-09-24 03:30:41')
      AND publish_up <= '2021-09-30 23:59:59'
  102. SELECT extension_id AS id,element AS "option",params,enabled
      FROM `jos_extensions`
      WHERE `type` = 'component'
      AND `element` = 'com_collections'
  103. SHOW FULL COLUMNS
      FROM `jos_collections`
  104. SELECT COUNT(DISTINCT b.id)
      FROM jos_collections AS b
      INNER JOIN `jos_collections_items` AS im
      ON im.type='collection'
      AND im.object_id=b.id
      LEFT JOIN `jos_collections_following` AS f
      ON f.following_type='collection'
      AND f.following_id=b.id
      LEFT JOIN `jos_xgroups` AS g
      ON g.gidNumber=b.object_id
      AND b.object_type='
      group'
      WHERE b.state='1'
      AND b.access='0'
      AND b.object_id='1447'
      AND b.object_type='
      group'
  105. SHOW FULL COLUMNS
      FROM `jos_courses`
  106. SELECT COUNT(*)
      FROM jos_courses AS c
      WHERE c.group_id='1447'
  107. SELECT extension_id AS id,element AS "option",params,enabled
      FROM `jos_extensions`
      WHERE `type` = 'component'
      AND `element` = 'com_forum'
  108. SELECT COUNT(jos_forum_posts.id) AS count
      FROM `jos_forum_posts`
      WHERE `jos_forum_posts`.`scope` = '
      group'
      AND `jos_forum_posts`.`scope_id` = '1447'
      AND `jos_forum_posts`.`state` = '1'
      AND `jos_forum_posts`.`parent` = '0'
  109. SELECT *
      FROM `jos_xgroups_memberoption`
      WHERE `jos_xgroups_memberoption`.`gidNumber` = '1447'
      AND `jos_xgroups_memberoption`.`userid` = '0'
      AND `jos_xgroups_memberoption`.`optionname` = 'receive-forum-email'
  110. SHOW FULL COLUMNS
      FROM `jos_projects`
  111. SELECT DISTINCT p.id
      FROM jos_project_owners as po, jos_projects AS p
      LEFT JOIN jos_project_owners AS o
      ON o.projectid=p.id
      AND o.userid != 0
      AND p.state!= 2 JOIN jos_users as x
      ON x.id=p.created_by_user
      LEFT JOIN jos_xgroups as g
      ON g.gidNumber=p.owned_by_group
      WHERE p.id=po.projectid
      AND p.state NOT IN (2, 3)
      AND po.status=1
      AND po.groupid=1447
  112. SELECT *
      FROM `jos_resource_types`
      WHERE `jos_resource_types`.`category` = '27'
      ORDER BY `type` ASC
  113. SELECT COUNT(jos_resources.id) AS count
      FROM `jos_resources`
      WHERE `jos_resources`.`published` IN ('1')
      AND `jos_resources`.`group_owner` = 'highschoolteachers'
      AND `jos_resources`.`access` IN ('0','1','2','3','4')
      AND (`jos_resources`.`publish_up` = '0000-00-00 00:00:00' OR `jos_resources`.`publish_up` <= '2021-09-24 03:30:41' )
      AND (`jos_resources`.`publish_down` = '0000-00-00 00:00:00' OR `jos_resources`.`publish_down` >= '2021-09-24 03:30:41' )
  114. SELECT extension_id AS id,element AS "option",params,enabled
      FROM `jos_extensions`
      WHERE `type` = 'component'
      AND `element` = 'com_wiki'
  115. SELECT COUNT(jos_wiki_pages.id) AS count
      FROM `jos_wiki_pages`
      WHERE `jos_wiki_pages`.`scope` = '
      group'
      AND `jos_wiki_pages`.`scope_id` = '1447'
      AND `jos_wiki_pages`.`state` = '1'
  116. SELECT extension_id AS id,element AS "option",params,enabled
      FROM `jos_extensions`
      WHERE `type` = 'component'
      AND `element` = 'com_wishlist'
  117. SELECT *
      FROM `jos_wishlist`
      WHERE `jos_wishlist`.`referenceid` = '1447'
      AND `jos_wishlist`.`category` = '
      group'
  118. SELECT *
      FROM `jos_wishlist_ownergroups`
      WHERE `jos_wishlist_ownergroups`.`wishlist` = '266'
  119. SELECT *
      FROM `jos_wishlist_owners`
      WHERE `jos_wishlist_owners`.`wishlist` = '266'
      AND `jos_wishlist_owners`.`type` != '2'
  120. SELECT a.rules
      FROM `jos_assets` AS `a`
      WHERE `a`.`id` = '1'
      GROUP BY a.id, a.rules, a.lft
  121. SELECT b.rules
      FROM `jos_assets` AS `a`
      LEFT JOIN jos_assets AS b
      ON b.lft <= a.lft
      AND b.rgt >= a.rgt
      WHERE `a`.`name` = 'manage'
      GROUP BY b.id, b.rules, b.lft
      ORDER BY `b`.`lft` ASC
  122. SELECT *
      FROM `jos_assets`
      WHERE `jos_assets`.`parent_id` = '0'
  123. SELECT *
      FROM `jos_assets`
      WHERE `jos_assets`.`id` = '1'
  124. SELECT COUNT(jos_wishlist_item.id) AS count
      FROM `jos_wishlist_item`
      WHERE `jos_wishlist_item`.`wishlist` = '266'
      AND `jos_wishlist_item`.`status` != '2'
      AND `jos_wishlist_item`.`private` = '0'
  125. SELECT COUNT(jos_activity_recipients.id) AS count
      FROM `jos_activity_recipients`
      WHERE `jos_activity_recipients`.`scope` = '
      group'
      AND `jos_activity_recipients`.`scope_id` = '1447'
      AND `jos_activity_recipients`.`state` = '1'
      AND `jos_activity_recipients`.`viewed` IS NULL
  126. SELECT extension_id AS id,element AS "option",params,enabled
      FROM `jos_extensions`
      WHERE `type` = 'component'
      AND `element` = 'com_users'
  127. SELECT *
      FROM jos_xgroups_pages
      WHERE gidNumber='1447'
      AND state IN (1)
      ORDER BY lft ASC
  128. SELECT jos_tags_object.label,jos_tags.*
      FROM `jos_tags`
      INNER JOIN jos_tags_object
      ON jos_tags_object.tagid = jos_tags.id
      WHERE `jos_tags_object`.`tbl` = 'groups'
      AND `jos_tags_object`.`objectid` = '1447'
      GROUP BY jos_tags_object.label,jos_tags.id
  129. SELECT m.id,m.title,m.module,m.position,m.content,m.showtitle,m.params,mm.menuid,e.protected
      FROM `jos_modules` AS `m`
      LEFT JOIN jos_modules_menu AS mm
      ON mm.moduleid = m.id
      LEFT JOIN jos_extensions AS e
      ON e.element = m.module
      AND e.client_id = m.client_id
      WHERE `m`.`published` = '1'
      AND `e`.`enabled` = '1'
      AND (`m`.`publish_up` IS NULL OR `m`.`publish_up` <= '2021-09-24 03:30:41' )
      AND (`m`.`publish_down` IS NULL OR `m`.`publish_down` >= '2021-09-24 03:30:41' )
      AND `m`.`access` IN ('1','1','4')
      AND `m`.`client_id` = '0'
      AND (`mm`.`menuid` = '81' OR `mm`.`menuid` <= '0' )
      ORDER BY `m`.`position` ASC,`m`.`ordering` ASC
  130. SELECT extension_id AS id,element AS "option",params,enabled
      FROM `jos_extensions`
      WHERE `type` = 'component'
      AND `element` = 'com_content'
  131. SELECT extension_id AS id,element AS "option",params,enabled
      FROM `jos_extensions`
      WHERE `type` = 'component'
      AND `element` = 'com_categories'
  132. SELECT extension_id AS id,element AS "option",params,enabled
      FROM `jos_extensions`
      WHERE `type` = 'component'
      AND `element` = 'com_whatsnew'
  133. SELECT extension_id AS id,element AS "option",params,enabled
      FROM `jos_extensions`
      WHERE `type` = 'component'
      AND `element` = 'com_newsletter'
  134. SELECT extension_id AS id,element AS "option",params,enabled
      FROM `jos_extensions`
      WHERE `type` = 'component'
      AND `element` = 'com_answers'
  135. SELECT extension_id AS id,element AS "option",params,enabled
      FROM `jos_extensions`
      WHERE `type` = 'component'
      AND `element` = 'com_kb'
  136. UPDATE `jos_session`
      SET `data` = '__default|a:9:{s:15:\"session.counter\";i:1;s:19:\"session.timer.start\";i:1632454241;s:18:\"session.timer.last\";i:1632454241;s:17:\"session.timer.now\";i:1632454241;s:8:\"registry\";O:23:\"Hubzero\\Config\\Registry\":2:{s:7:\"\0*\0data\";O:8:\"stdClass\":4:{s:1:\"0\";s:7:\"session\";s:7:\"Plugins\";O:8:\"stdClass\":1:{s:7:\"Hubzero\";O:8:\"stdClass\":1:{s:8:\"Comments\";O:8:\"stdClass\":1:{s:6:\"Models\";O:8:\"stdClass\":1:{s:7:\"Comment\";O:8:\"stdClass\":2:{s:7:\"orderby\";s:7:\"created\";s:8:\"orderdir\";s:3:\"asc\";}}}}}s:7:\"Comment\";O:8:\"stdClass\":2:{s:5:\"start\";d:0;s:5:\"
      limit\";i:20;}s:10:\"Components\";O:8:\"stdClass\":1:{s:9:\"Resources\";O:8:\"stdClass\":1:{s:6:\"Models\";O:8:\"stdClass\":1:{s:4:\"Type\";O:8:\"stdClass\":2:{s:7:\"orderby\";s:4:\"type\";s:8:\"orderdir\";s:3:\"asc\";}}}}}s:9:\"separator\";s:1:\".\";}s:4:\"user\";C:17:\"Hubzero\\User\\User\":22:{a:1:{s:5:\"guest\";b:1;}}s:11:\"tracker.sid\";s:32:\"3288bcb8b411db503e3c3fdcd09fefb2\";s:12:\"tracker.ssid\";s:32:\"3288bcb8b411db503e3c3fdcd09fefb2\";s:12:\"tracker.rsid\";s:32:\"3288bcb8b411db503e3c3fdcd09fefb2\";}',`time` = '1632454241',`ip` = '3.238.95.208'
      WHERE `session_id` = '3288bcb8b411db503e3c3fdcd09fefb2'
  • onAfterInitialise Method plgSystemP3p::onAfterInitialise /core/plugins/system/p3p/p3p.php:21
  • onAfterInitialise Method plgSystemRemember::onAfterInitialise /core/plugins/system/remember/remember.php:20
  • onAfterInitialise Method plgSystemHubzero::onAfterInitialise /core/plugins/system/hubzero/hubzero.php:21
  • onAfterInitialise Method plgSystemXFeed::onAfterInitialise /core/plugins/system/xfeed/xfeed.php:21
  • onAfterInitialise Method plgSystemSupergroup::onAfterInitialise /core/plugins/system/supergroup/supergroup.php:113
  • onAfterInitialise Method plgSystemReferrerpolicy::onAfterInitialise /core/plugins/system/referrerpolicy/referrerpolicy.php:21
  • onAfterRoute Method plgSystemJquery::onAfterRoute /core/plugins/system/jquery/jquery.php:21
  • onAfterRoute Method plgSystemSpamjail::onAfterRoute /core/plugins/system/spamjail/spamjail.php:21
  • onAfterRoute Method plgSystemIncomplete::onAfterRoute /core/plugins/system/incomplete/incomplete.php:21
  • onAfterRoute Method plgSystemUnconfirmed::onAfterRoute /core/plugins/system/unconfirmed/unconfirmed.php:21
  • onAfterRoute Method plgSystemUnapproved::onAfterRoute /core/plugins/system/unapproved/unapproved.php:21
  • onAfterRoute Method plgSystemPassword::onAfterRoute /core/plugins/system/password/password.php:21
  • onGroupAreas Method plgGroupsMembers::onGroupAreas /core/plugins/groups/members/members.php:59
  • onGroupAreas Method plgGroupsAnnouncements::onGroupAreas /core/plugins/groups/announcements/announcements.php:55
  • onGroupAreas Method plgGroupsBlog::onGroupAreas /core/plugins/groups/blog/blog.php:55
  • onGroupAreas Method plgGroupsCalendar::onGroupAreas /core/plugins/groups/calendar/calendar.php:54
  • onGroupAreas Method plgGroupsCollections::onGroupAreas /core/plugins/groups/collections/collections.php:127
  • onGroupAreas Method plgGroupsCourses::onGroupAreas /core/plugins/groups/courses/courses.php:55
  • onGroupAreas Method plgGroupsForum::onGroupAreas /core/plugins/groups/forum/forum.php:61
  • onGroupAreas Method plgGroupsMemberOptions::onGroupAreas /core/plugins/groups/memberoptions/memberoptions.php:28
  • onGroupAreas Method plgGroupsMessages::onGroupAreas /core/plugins/groups/messages/messages.php:55
  • onGroupAreas Method plgGroupsProjects::onGroupAreas /core/plugins/groups/projects/projects.php:68
  • onGroupAreas Method plgGroupsResources::onGroupAreas /core/plugins/groups/resources/resources.php:78
  • onGroupAreas Method plgGroupsUsage::onGroupAreas /app/plugins/groups/usage/usage.php:55
  • onGroupAreas Method plgGroupsWiki::onGroupAreas /core/plugins/groups/wiki/wiki.php:55
  • onGroupAreas Method plgGroupsWishlist::onGroupAreas /core/plugins/groups/wishlist/wishlist.php:55
  • onGroupAreas Method plgGroupsFiles::onGroupAreas /core/plugins/groups/files/files.php:55
  • onGroupAreas Method plgGroupsActivity::onGroupAreas /core/plugins/groups/activity/activity.php:28
  • onAddIndex Method plgSearchSolr::onAddIndex /core/plugins/search/solr/solr.php:56
  • onContentSave Method plgSystemContent::onContentSave /core/plugins/system/content/content.php:23
  • onContentPrepare Method plgContentLoadmodule::onContentPrepare /core/plugins/content/loadmodule/loadmodule.php:35
  • onContentPrepare Method plgContentPagebreak::onContentPrepare /core/plugins/content/pagebreak/pagebreak.php:35
  • onContentPrepare Method plgContentXhubtags::onContentPrepare /core/plugins/content/xhubtags/xhubtags.php:25
  • onContentPrepare Method plgContentFormatwiki::onContentPrepare /core/plugins/content/formatwiki/formatwiki.php:63
  • onContentPrepare Method plgContentFormathtml::onContentPrepare /core/plugins/content/formathtml/formathtml.php:105
  • onContentPrepare Method plgContentExternalhref::onContentPrepare /core/plugins/content/externalhref/externalhref.php:41
  • onAfterDisplayContent Method plgHubzeroComments::onAfterDisplayContent /core/plugins/hubzero/comments/comments.php:39
  • onGroup Method plgGroupsMembers::onGroup /core/plugins/groups/members/members.php:84
  • onGroup Method plgGroupsAnnouncements::onGroup /core/plugins/groups/announcements/announcements.php:131
  • onGroup Method plgGroupsBlog::onGroup /core/plugins/groups/blog/blog.php:80
  • onGroup Method plgGroupsCalendar::onGroup /core/plugins/groups/calendar/calendar.php:79
  • onGroup Method plgGroupsCollections::onGroup /core/plugins/groups/collections/collections.php:152
  • onGroup Method plgGroupsCourses::onGroup /core/plugins/groups/courses/courses.php:80
  • onGroup Method plgGroupsForum::onGroup /core/plugins/groups/forum/forum.php:86
  • onGroup Method plgGroupsMemberOptions::onGroup /core/plugins/groups/memberoptions/memberoptions.php:54
  • onGroup Method plgGroupsMessages::onGroup /core/plugins/groups/messages/messages.php:80
  • onGroup Method plgGroupsProjects::onGroup /core/plugins/groups/projects/projects.php:93
  • onGroup Method plgGroupsResources::onGroup /core/plugins/groups/resources/resources.php:103
  • onGroup Method plgGroupsUsage::onGroup /app/plugins/groups/usage/usage.php:80
  • onGroup Method plgGroupsWiki::onGroup /core/plugins/groups/wiki/wiki.php:80
  • onGroup Method plgGroupsWishlist::onGroup /core/plugins/groups/wishlist/wishlist.php:81
  • onGroup Method plgGroupsFiles::onGroup /core/plugins/groups/files/files.php:80
  • onGroup Method plgGroupsActivity::onGroup /core/plugins/groups/activity/activity.php:53
  • onBeforeGroup Method plgGroupsAnnouncements::onBeforeGroup /core/plugins/groups/announcements/announcements.php:74
  • onAfterDispatch Method plgSystemMobile::onAfterDispatch /core/plugins/system/mobile/mobile.php:22
  • onAfterDispatch Method plgSystemDebug::onAfterDispatch /core/plugins/system/debug/debug.php:60
  • onAfterDispatch Method PlgSystemHighlight::onAfterDispatch /core/plugins/system/highlight/highlight.php:25
  • onAfterRender Method plgSystemSef::onAfterRender /core/plugins/system/sef/sef.php:21