Deprecated: __autoload() is deprecated, use spl_autoload_register() instead in /home3/reasonan/public_html/wp-includes/compat.php on line 502

Deprecated: Array and string offset access syntax with curly braces is deprecated in /home3/reasonan/public_html/wp-content/plugins/jetpack/modules/shortcodes.php on line 98

Deprecated: Array and string offset access syntax with curly braces is deprecated in /home3/reasonan/public_html/wp-content/plugins/jetpack/modules/shortcodes.php on line 130

Deprecated: Unparenthesized `a ? b : c ? d : e` is deprecated. Use either `(a ? b : c) ? d : e` or `a ? b : (c ? d : e)` in /home3/reasonan/public_html/wp-content/plugins/jetpack/modules/shortcodes/soundcloud.php on line 167

Deprecated: Function get_magic_quotes_gpc() is deprecated in /home3/reasonan/public_html/wp-includes/load.php on line 649

Notice: Trying to access array offset on value of type bool in /home3/reasonan/public_html/wp-includes/theme.php on line 2246

Deprecated: Function get_magic_quotes_gpc() is deprecated in /home3/reasonan/public_html/wp-includes/formatting.php on line 4371

Deprecated: Function get_magic_quotes_gpc() is deprecated in /home3/reasonan/public_html/wp-includes/formatting.php on line 4371

Deprecated: Function get_magic_quotes_gpc() is deprecated in /home3/reasonan/public_html/wp-includes/formatting.php on line 4371

Deprecated: Function get_magic_quotes_gpc() is deprecated in /home3/reasonan/public_html/wp-includes/formatting.php on line 4371

Deprecated: Function get_magic_quotes_gpc() is deprecated in /home3/reasonan/public_html/wp-includes/formatting.php on line 4371

Deprecated: Function get_magic_quotes_gpc() is deprecated in /home3/reasonan/public_html/wp-includes/formatting.php on line 4371

Warning: Cannot modify header information - headers already sent by (output started at /home3/reasonan/public_html/wp-includes/compat.php:502) in /home3/reasonan/public_html/wp-includes/feed-rss2-comments.php on line 8
Comments on: Triangles http://reasonandwonder.com/triangles/ Better through reflection Mon, 13 Sep 2021 11:29:14 +0000 hourly 1 https://wordpress.org/?v=4.8.24 By: Andrew Stadel http://reasonandwonder.com/triangles/#comment-7 Thu, 14 Mar 2013 05:35:14 +0000 http://reasonandwonder.wordpress.com/?p=19#comment-7 Help me out here. What’s the student learning target? What standard are you working toward? It’s been awhile since I taught Pre-Algebra too.
Also, I’d like to know how long it’s been since you started removing yourself from direct instruction. Last school year (around this time) is when I started removing myself from direct instruction. It’s definitely a transition for both you and your students, especially if you’re doing it sometime during the course of the school year.
Are you putting student work/conjectures up during their exploration time for the class to see and critique? As much as I’d love to completely abandon my students and let them figure it all out on their own, I realistically can’t entirely do that. I have to nudge them somehow at times, but I prefer to show them student work. Find something in the class that is completely wrong or has a shred of possibility and let the students build from there. Sorry, if I’m making some false assumptions. Pre-Algebra is a tough beast for a tough age.
I do like the graphic organizer for tomorrow.

]]>
By: mjfenton http://reasonandwonder.com/triangles/#comment-6 Wed, 13 Mar 2013 22:41:52 +0000 http://reasonandwonder.wordpress.com/?p=19#comment-6 Michael, thanks for your question.

First, some background. I’ve historically been a direct instruction-heavy teacher. I’m trying to shift away from that so students are more active in their learning. With an activity like this, I’ve found that the “debriefing” time at the end is crucial (though I haven’t mastered it yet), otherwise my students will often miss the point of a lesson. So in a general sense, those “notice” questions are designed to grease the skids for our debriefing time.

In this particular activity, my goal was for students to observe/notice/learn that scaling the sides of a triangle by a factor of n does not affect the angle measures, and that scaling the side length by n multiples the area by n^2.

Additional thoughts? Are there salvageable parts to the activity? Things to rewrite or throw out? Or back to the drawing board?

]]>
By: Michael Pershan (@mpershan) http://reasonandwonder.com/triangles/#comment-5 Wed, 13 Mar 2013 22:14:29 +0000 http://reasonandwonder.wordpress.com/?p=19#comment-5 I’m curious — what’s the role of the “notice” questions in the activity?

]]>