Deprecated: Creation of dynamic property wpdb::$categories is deprecated in /var/www/twodee/blog/wp-includes/wp-db.php on line 668

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Deprecated: Return type of WP_Theme::offsetExists($offset) should either be compatible with ArrayAccess::offsetExists(mixed $offset): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /var/www/twodee/blog/wp-includes/class-wp-theme.php on line 554

Deprecated: Return type of WP_Theme::offsetGet($offset) should either be compatible with ArrayAccess::offsetGet(mixed $offset): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /var/www/twodee/blog/wp-includes/class-wp-theme.php on line 595

Deprecated: Return type of WP_Theme::offsetSet($offset, $value) should either be compatible with ArrayAccess::offsetSet(mixed $offset, mixed $value): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /var/www/twodee/blog/wp-includes/class-wp-theme.php on line 535

Deprecated: Return type of WP_Theme::offsetUnset($offset) should either be compatible with ArrayAccess::offsetUnset(mixed $offset): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /var/www/twodee/blog/wp-includes/class-wp-theme.php on line 544

Deprecated: Return type of WP_REST_Request::offsetExists($offset) should either be compatible with ArrayAccess::offsetExists(mixed $offset): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /var/www/twodee/blog/wp-includes/rest-api/class-wp-rest-request.php on line 960

Deprecated: Return type of WP_REST_Request::offsetGet($offset) should either be compatible with ArrayAccess::offsetGet(mixed $offset): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /var/www/twodee/blog/wp-includes/rest-api/class-wp-rest-request.php on line 980

Deprecated: Return type of WP_REST_Request::offsetSet($offset, $value) should either be compatible with ArrayAccess::offsetSet(mixed $offset, mixed $value): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /var/www/twodee/blog/wp-includes/rest-api/class-wp-rest-request.php on line 992

Deprecated: Return type of WP_REST_Request::offsetUnset($offset) should either be compatible with ArrayAccess::offsetUnset(mixed $offset): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /var/www/twodee/blog/wp-includes/rest-api/class-wp-rest-request.php on line 1003

Deprecated: Return type of WP_Block_List::current() should either be compatible with Iterator::current(): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /var/www/twodee/blog/wp-includes/class-wp-block-list.php on line 151

Deprecated: Return type of WP_Block_List::next() should either be compatible with Iterator::next(): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /var/www/twodee/blog/wp-includes/class-wp-block-list.php on line 175

Deprecated: Return type of WP_Block_List::key() should either be compatible with Iterator::key(): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /var/www/twodee/blog/wp-includes/class-wp-block-list.php on line 164

Deprecated: Return type of WP_Block_List::valid() should either be compatible with Iterator::valid(): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /var/www/twodee/blog/wp-includes/class-wp-block-list.php on line 186

Deprecated: Return type of WP_Block_List::rewind() should either be compatible with Iterator::rewind(): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /var/www/twodee/blog/wp-includes/class-wp-block-list.php on line 138

Deprecated: Return type of WP_Block_List::offsetExists($index) should either be compatible with ArrayAccess::offsetExists(mixed $offset): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /var/www/twodee/blog/wp-includes/class-wp-block-list.php on line 75

Deprecated: Return type of WP_Block_List::offsetGet($index) should either be compatible with ArrayAccess::offsetGet(mixed $offset): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /var/www/twodee/blog/wp-includes/class-wp-block-list.php on line 89

Deprecated: Return type of WP_Block_List::offsetSet($index, $value) should either be compatible with ArrayAccess::offsetSet(mixed $offset, mixed $value): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /var/www/twodee/blog/wp-includes/class-wp-block-list.php on line 110

Deprecated: Return type of WP_Block_List::offsetUnset($index) should either be compatible with ArrayAccess::offsetUnset(mixed $offset): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /var/www/twodee/blog/wp-includes/class-wp-block-list.php on line 127

Deprecated: Return type of WP_Block_List::count() should either be compatible with Countable::count(): int, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /var/www/twodee/blog/wp-includes/class-wp-block-list.php on line 199

Deprecated: Creation of dynamic property Automattic\Jetpack\Connection\Manager::$error_handler is deprecated in /var/www/twodee/blog/wp-content/plugins/jetpack/vendor/automattic/jetpack-connection/src/class-manager.php on line 91

Deprecated: Creation of dynamic property WPCOM_REST_API_V2_Endpoint_Instagram_Gallery::$is_wpcom is deprecated in /var/www/twodee/blog/wp-content/plugins/jetpack/_inc/lib/core-api/wpcom-endpoints/class-wpcom-rest-api-v2-endpoint-instagram-gallery.php on line 23

Deprecated: Creation of dynamic property WPCOM_REST_API_V2_Endpoint_Mailchimp::$wpcom_is_wpcom_only_endpoint is deprecated in /var/www/twodee/blog/wp-content/plugins/jetpack/_inc/lib/core-api/wpcom-endpoints/class-wpcom-rest-api-v2-endpoint-mailchimp.php on line 17

Deprecated: Creation of dynamic property WPCOM_REST_API_V2_Endpoint_Tweetstorm_Gather::$wpcom_is_wpcom_only_endpoint is deprecated in /var/www/twodee/blog/wp-content/plugins/jetpack/_inc/lib/core-api/wpcom-endpoints/class-wpcom-rest-api-v2-endpoint-tweetstorm-gather.php on line 21

Deprecated: Creation of dynamic property WPCOM_REST_API_V2_Endpoint_Tweetstorm_Gather::$is_wpcom is deprecated in /var/www/twodee/blog/wp-content/plugins/jetpack/_inc/lib/core-api/wpcom-endpoints/class-wpcom-rest-api-v2-endpoint-tweetstorm-gather.php on line 22

Deprecated: Creation of dynamic property WPCOM_REST_API_V2_Endpoint_Gutenberg_Available_Extensions::$wpcom_is_site_specific_endpoint is deprecated in /var/www/twodee/blog/wp-content/plugins/jetpack/_inc/lib/core-api/wpcom-endpoints/gutenberg-available-extensions.php on line 20

Deprecated: Creation of dynamic property WPCOM_REST_API_V2_Endpoint_Memberships::$wpcom_is_wpcom_only_endpoint is deprecated in /var/www/twodee/blog/wp-content/plugins/jetpack/_inc/lib/core-api/wpcom-endpoints/memberships.php on line 23

Deprecated: Creation of dynamic property WPCOM_REST_API_V2_Endpoint_Memberships::$wpcom_is_site_specific_endpoint is deprecated in /var/www/twodee/blog/wp-content/plugins/jetpack/_inc/lib/core-api/wpcom-endpoints/memberships.php on line 24

Deprecated: Creation of dynamic property WPCOM_REST_API_V2_Endpoint_Subscribers::$wpcom_is_wpcom_only_endpoint is deprecated in /var/www/twodee/blog/wp-content/plugins/jetpack/_inc/lib/core-api/wpcom-endpoints/subscribers.php on line 15

Deprecated: Creation of dynamic property Automattic\Jetpack\Sync\Queue::$random_int is deprecated in /var/www/twodee/blog/wp-content/plugins/jetpack/vendor/automattic/jetpack-sync/src/class-queue.php on line 38

Deprecated: Creation of dynamic property Automattic\Jetpack\Sync\Queue::$random_int is deprecated in /var/www/twodee/blog/wp-content/plugins/jetpack/vendor/automattic/jetpack-sync/src/class-queue.php on line 38

Deprecated: Creation of dynamic property WPCOM_Widget_Goodreads::$shelves is deprecated in /var/www/twodee/blog/wp-content/plugins/jetpack/modules/widgets/goodreads.php on line 33

Deprecated: DateTime::__construct(): Passing null to parameter #1 ($datetime) of type string is deprecated in /var/www/twodee/blog/wp-includes/script-loader.php on line 348

Deprecated: Creation of dynamic property Advanced_Editor_Tools::$toolbar_classic_block is deprecated in /var/www/twodee/blog/wp-content/plugins/tinymce-advanced/tinymce-advanced.php on line 347

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Deprecated: Creation of dynamic property Advanced_Editor_Tools::$panels_block is deprecated in /var/www/twodee/blog/wp-content/plugins/tinymce-advanced/tinymce-advanced.php on line 351

Deprecated: Creation of dynamic property Advanced_Editor_Tools::$used_block_buttons is deprecated in /var/www/twodee/blog/wp-content/plugins/tinymce-advanced/tinymce-advanced.php on line 354

Deprecated: Creation of dynamic property WP_Block_Type::$plan_check is deprecated in /var/www/twodee/blog/wp-includes/class-wp-block-type.php on line 333

Deprecated: Creation of dynamic property WP_Block_Type::$plan_check is deprecated in /var/www/twodee/blog/wp-includes/class-wp-block-type.php on line 333

Deprecated: Creation of dynamic property WP_Block_Type::$plan_check is deprecated in /var/www/twodee/blog/wp-includes/class-wp-block-type.php on line 333

Deprecated: Creation of dynamic property WP_Block_Type::$plan_check is deprecated in /var/www/twodee/blog/wp-includes/class-wp-block-type.php on line 333

Deprecated: Creation of dynamic property WP_Block_Type::$plan_check is deprecated in /var/www/twodee/blog/wp-includes/class-wp-block-type.php on line 333

Deprecated: Creation of dynamic property WP_Block_Type::$plan_check is deprecated in /var/www/twodee/blog/wp-includes/class-wp-block-type.php on line 333

Deprecated: ltrim(): Passing null to parameter #1 ($string) of type string is deprecated in /var/www/twodee/blog/wp-includes/wp-db.php on line 3030

Deprecated: Creation of dynamic property WP_Term::$object_id is deprecated in /var/www/twodee/blog/wp-includes/class-wp-term.php on line 198

Deprecated: Creation of dynamic property WP_Term::$object_id is deprecated in /var/www/twodee/blog/wp-includes/class-wp-term.php on line 198

Deprecated: Creation of dynamic property WP_Term::$object_id is deprecated in /var/www/twodee/blog/wp-includes/class-wp-term.php on line 198

Deprecated: Creation of dynamic property WP_Term::$object_id is deprecated in /var/www/twodee/blog/wp-includes/class-wp-term.php on line 198

Deprecated: Creation of dynamic property WP_Term::$object_id is deprecated in /var/www/twodee/blog/wp-includes/class-wp-term.php on line 198

Deprecated: Creation of dynamic property WP_Term::$object_id is deprecated in /var/www/twodee/blog/wp-includes/class-wp-term.php on line 198

Deprecated: Creation of dynamic property WP_Term::$object_id is deprecated in /var/www/twodee/blog/wp-includes/class-wp-term.php on line 198

Deprecated: Creation of dynamic property WP_Term::$object_id is deprecated in /var/www/twodee/blog/wp-includes/class-wp-term.php on line 198

Deprecated: Creation of dynamic property WP_Term::$object_id is deprecated in /var/www/twodee/blog/wp-includes/class-wp-term.php on line 198

Deprecated: Creation of dynamic property WP_Term::$object_id is deprecated in /var/www/twodee/blog/wp-includes/class-wp-term.php on line 198

Deprecated: Creation of dynamic property WP_Term::$object_id is deprecated in /var/www/twodee/blog/wp-includes/class-wp-term.php on line 198

Deprecated: Creation of dynamic property WP_Term::$object_id is deprecated in /var/www/twodee/blog/wp-includes/class-wp-term.php on line 198

Deprecated: Creation of dynamic property WP_Term::$object_id is deprecated in /var/www/twodee/blog/wp-includes/class-wp-term.php on line 198

Deprecated: Creation of dynamic property WP_Term::$object_id is deprecated in /var/www/twodee/blog/wp-includes/class-wp-term.php on line 198

Deprecated: Creation of dynamic property WP_Term::$object_id is deprecated in /var/www/twodee/blog/wp-includes/class-wp-term.php on line 198

Deprecated: Creation of dynamic property WP_Term::$object_id is deprecated in /var/www/twodee/blog/wp-includes/class-wp-term.php on line 198

Deprecated: Creation of dynamic property WP_Term::$object_id is deprecated in /var/www/twodee/blog/wp-includes/class-wp-term.php on line 198

Deprecated: Creation of dynamic property WP_Term::$object_id is deprecated in /var/www/twodee/blog/wp-includes/class-wp-term.php on line 198

Deprecated: Creation of dynamic property WP_Term::$object_id is deprecated in /var/www/twodee/blog/wp-includes/class-wp-term.php on line 198

Deprecated: Creation of dynamic property WP_Term::$cat_ID is deprecated in /var/www/twodee/blog/wp-includes/category.php on line 378

Deprecated: Creation of dynamic property WP_Term::$category_count is deprecated in /var/www/twodee/blog/wp-includes/category.php on line 379

Deprecated: Creation of dynamic property WP_Term::$category_description is deprecated in /var/www/twodee/blog/wp-includes/category.php on line 380

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Deprecated: Creation of dynamic property WP_Term::$category_nicename is deprecated in /var/www/twodee/blog/wp-includes/category.php on line 382

Deprecated: Creation of dynamic property WP_Term::$category_parent is deprecated in /var/www/twodee/blog/wp-includes/category.php on line 383

Deprecated: Creation of dynamic property WP_Term::$cat_ID is deprecated in /var/www/twodee/blog/wp-includes/category.php on line 378

Deprecated: Creation of dynamic property WP_Term::$category_count is deprecated in /var/www/twodee/blog/wp-includes/category.php on line 379

Deprecated: Creation of dynamic property WP_Term::$category_description is deprecated in /var/www/twodee/blog/wp-includes/category.php on line 380

Deprecated: Creation of dynamic property WP_Term::$cat_name is deprecated in /var/www/twodee/blog/wp-includes/category.php on line 381

Deprecated: Creation of dynamic property WP_Term::$category_nicename is deprecated in /var/www/twodee/blog/wp-includes/category.php on line 382

Deprecated: Creation of dynamic property WP_Term::$category_parent is deprecated in /var/www/twodee/blog/wp-includes/category.php on line 383

Deprecated: Creation of dynamic property WP_Term::$cat_ID is deprecated in /var/www/twodee/blog/wp-includes/category.php on line 378

Deprecated: Creation of dynamic property WP_Term::$category_count is deprecated in /var/www/twodee/blog/wp-includes/category.php on line 379

Deprecated: Creation of dynamic property WP_Term::$category_description is deprecated in /var/www/twodee/blog/wp-includes/category.php on line 380

Deprecated: Creation of dynamic property WP_Term::$cat_name is deprecated in /var/www/twodee/blog/wp-includes/category.php on line 381

Deprecated: Creation of dynamic property WP_Term::$category_nicename is deprecated in /var/www/twodee/blog/wp-includes/category.php on line 382

Deprecated: Creation of dynamic property WP_Term::$category_parent is deprecated in /var/www/twodee/blog/wp-includes/category.php on line 383
» public

teaching machines

Blackbox 4

Blackbox 3

Blackbox 2

Madeup Workshop

Biography It all started with the school bus. I lived twelve miles from town, and every morning I got on the bus at 7 AM. I watched every other kid get picked up. In the afternoon, I watched every other kid get dropped off. At 4 PM, I was home. School started at 8 AM […]

Rejection from Future Programming Workshop

The Future Programming Workshop solicited demos of tools that I understood would produce the next generation of screencasts. Here’s the solicitation from Jonathan Edwards: The revolution will be screencast Richard Gabriel and I are planning a workshop at SPLASH focused on screencast demos: The Future Programming Workshop. This will be a workshop in the sense of a […]

Professor vs. NDA

Once I signed an non-disclosure agreement (NDA). Someone in my community was looking for a student to work on a mobile app and wanted to describe the project to me. To be friendly, I signed. Afterward, I felt inauthentic. I never wish to sign another. My reasons are several: NDAs with faculty are one-way. I’m […]

Mathematician Grapples

Laurent Schwartz was a French mathematician and human rights activist. He’s not the Schwarz of the Cauchy-Schwarz inequality. In fact, I don’t know if I’m familiar with any of his math work, which was way over my head. Nevertheless, I just finished his biography, A Mathematician Grapples with His Century. His life was fascinating. He was […]

Blackbox 1

Consider the following mysterious black box. It gobbles up values entered on the left, and spits out some result on the right. What’s going on inside it? Here’s a hint: it solves a problem that you likely solved often in middle school math classes.

Convert a C++ Exception Into a Java Exception

In Madeup, I needed an exception to propagate from C++ to Java to PHP. I was pretty certain the conventional exception mechanics wouldn’t support this, especially the leap from Java to PHP, but I think I’m wrong. On the C++ side of the JNI bridge, I catch the exception and then throw it back to Java […]

Wisconsin Teaching Fellowship Project Question

I’m participating in the Wisconsin Teaching Fellows and Scholars program. This program aims to foster real scientific research on teaching and learning, an area that is typically snubbed by tenure committees at schools bigger than my own. Each fellow or scholar proposes a research question, deliberates with a team of others, spends a year studying the […]

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