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  <title>ThePathtoMath</title>
  <link>http://ttactechtuesday.pbwiki.com/ThePathtoMath</link>
  <author>email.hidden@example.com (Susanne Croasdaile)</author>
  <description><![CDATA[<h3>Susanne Croasdaile edited <a href="http://ttactechtuesday.pbwiki.com/ThePathtoMath">ThePathtoMath</a></h3>
Why can we describe these rectangles in terms of multiplication?<br />&amp;lt;continue to repeat with new [x, y]&amp;gt;<br />Communication<span style="color:red;background-color:#fcc;"> considerations: (to be added during workshop)</span><span style="font-weight:bold;color:green;background-color:#cfc;"> considerations:</span><br />I like . . . . .<br />It’s the same<br />It doesn’t fit<br />We can...<br /> since<span style="color:red;background-color:#fcc;"> 10-13-08</span><span style="font-weight:bold;color:green;background-color:#cfc;"> last update</span><br />]]></description>
  <pubDate>Wed, 29 Oct 2008 14:00:45 +0000</pubDate>
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  <title>ThePathtoMath</title>
  <link>http://ttactechtuesday.pbwiki.com/ThePathtoMath</link>
  <author>email.hidden@example.com (Susanne Croasdaile)</author>
  <description><![CDATA[<h3>Susanne Croasdaile edited <a href="http://ttactechtuesday.pbwiki.com/ThePathtoMath">ThePathtoMath</a></h3>
The Path to Math<br /><span style="font-weight:bold;color:green;background-color:#cfc;">A few reminders before the examples from the workshop:<br />Students learn math concepts through the concrete-representational-abstract instructional approach. This means that you must guide them in creating their own mental models from concrete materials before you simply present the representational and abstract steps (such as an addition expression or an equation to be solved). Concrete materials include Algebra tiles, counting bears, etc.<br />When we spiral instruction,students are “scaffolded” to higher and higher levels by revisiting a concept on multiple occasions, each time with an increased understanding of the task. This isa great way to reach students who struggle in math!<br />Some students use alternate forms of communication; we must prepare the right words in advance so those students can jump into the conversation and build mathematical understanding!</span><br />Demonstration Lesson:Grocery shopping<br />Math vocabulary: sort; categorize; pound; ounces; quart; cups; numbers]]></description>
  <pubDate>Wed, 29 Oct 2008 13:59:57 +0000</pubDate>
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  <pubDate>Wed, 29 Oct 2008 13:48:27 +0000</pubDate>
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  <description><![CDATA[<h3>Susanne Croasdaile edited <a href="http://ttactechtuesday.pbwiki.com/SideBar">SideBar</a>]]></description>
  <pubDate>Wed, 29 Oct 2008 13:47:44 +0000</pubDate>
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  <title>The Path to Math</title>
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  <author>email.hidden@example.com (Susanne Croasdaile)</author>
  <description><![CDATA[<h3>Susanne Croasdaile renamed The Path to Math <a href="/ThePathtoMath">ThePathtoMath</a></h3>
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  <pubDate>Wed, 29 Oct 2008 13:46:55 +0000</pubDate>
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  <title>The Path to Math</title>
  <link>http://ttactechtuesday.pbwiki.com/The+Path+to+Math</link>
  <author>email.hidden@example.com (Susanne Croasdaile)</author>
  <description><![CDATA[<h3>Susanne Croasdaile edited <a href="http://ttactechtuesday.pbwiki.com/The+Path+to+Math">The Path to Math</a></h3>
How many trains are left ?Now take away another train.How many trains are left?<br />How many trains are in the station?<br /><span style="color:red;background-color:#fcc;">Assistive technology and accommodation considerations: (to be added during workshop)</span><br />Communication considerations: (to be added during workshop)<br />1 – 5 (numbers)<br />Why can we describe this new rectangle in terms of multiplication?<br />&amp;lt;continue to repeat with new [x]&amp;gt;<br /><span style="color:red;background-color:#fcc;">Assistive technology and accommodation</span><span style="font-weight:bold;color:green;background-color:#cfc;">Communication</span> considerations:<span style="color:red;background-color:#fcc;"> (to be added during workshop)<br />Communication considerations: (to be added during workshop)</span><span style="font-weight:bold;color:green;background-color:#cfc;"><br />That’s not enough<br />Put it here<br />Turn it around<br />I like that one<br />That’s not the same<br />I think<br />I know</span><br />Demonstration Lesson: Grade 4<br />Math vocabulary: group, set, rectangle, piece, same, different, area, length, width<br />Why can we describe these rectangles in terms of multiplication?<br />&amp;lt;continue to repeat with new [x, y]&amp;gt;<br /><span style="color:red;background-color:#fcc;">Assistive technology a</span>]]></description>
  <pubDate>Wed, 29 Oct 2008 13:45:40 +0000</pubDate>
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  <title>The Path to Math</title>
  <link>http://ttactechtuesday.pbwiki.com/The+Path+to+Math</link>
  <author>email.hidden@example.com (Susanne Croasdaile)</author>
  <description><![CDATA[<h3>Susanne Croasdaile edited <a href="http://ttactechtuesday.pbwiki.com/The+Path+to+Math">The Path to Math</a></h3>
Assistive technology and accommodation considerations: (to be added during workshop)<br />Communication considerations: (to be added during workshop)<br /><span style="font-weight:bold;color:green;background-color:#cfc;">1 – 5 (numbers)<br />Picture single/group<br />That’s the first one . . .<br />That’s the last one . . .<br />This one is the same/different<br />Help me<br />Choo! Choo!<br />I know the answer</span><br />Demonstration Lesson: Grade 2<br />Math vocabulary: group, set, rectangle, piece, same, different<br />]]></description>
  <pubDate>Wed, 29 Oct 2008 13:43:28 +0000</pubDate>
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  <title>The Path to Math</title>
  <link>http://ttactechtuesday.pbwiki.com/The+Path+to+Math</link>
  <author>email.hidden@example.com (Susanne Croasdaile)</author>
  <description><![CDATA[<h3>Susanne Croasdaile edited <a href="http://ttactechtuesday.pbwiki.com/The+Path+to+Math">The Path to Math</a></h3>
&amp;lt;continue to repeat with new [x]&amp;gt;<br />Assistive technology and accommodation considerations: (to be added during workshop)<br /> considerations:<span style="color:red;background-color:#fcc;"><br />I like . . . . .<br />It’s the same.<br />How long/wide is it?<br />It’s not big enough?<br />It doesn’t fit.<br />We can...</span><span style="font-weight:bold;color:green;background-color:#cfc;"> (to be added during workshop)</span><br />Demonstration Lesson: Grade 4<br />Math vocabulary: group, set, rectangle, piece, same, different, area, length, width<br />Assistive technology and accommodation considerations: (to be added during workshop)<br />Communication considerations: (to be added during workshop)<br /><span style="font-weight:bold;color:green;background-color:#cfc;">I like . . . . .<br />It’s the same<br />How long/wide is it?<br />It’s not big enough?<br />It doesn’t fit<br />We can...</span><br />views since 10-13-08<br />]]></description>
  <pubDate>Wed, 29 Oct 2008 13:41:49 +0000</pubDate>
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  <title>The Path to Math</title>
  <link>http://ttactechtuesday.pbwiki.com/The+Path+to+Math</link>
  <author>email.hidden@example.com (Susanne Croasdaile)</author>
  <description><![CDATA[<h3>Susanne Croasdaile edited <a href="http://ttactechtuesday.pbwiki.com/The+Path+to+Math">The Path to Math</a></h3>
&amp;lt;continue to repeat with new [x]&amp;gt;<br />Assistive technology and accommodation considerations: (to be added during workshop)<br /> considerations:<span style="color:red;background-color:#fcc;"> (to be added during workshop)</span><span style="font-weight:bold;color:green;background-color:#cfc;"><br />I like . . . . .<br />It’s the same.<br />How long/wide is it?<br />It’s not big enough?<br />It doesn’t fit.<br />We can...</span><br />Demonstration Lesson: Grade 4<br />Math vocabulary: group, set, rectangle, piece, same, different, area, length, width<br />]]></description>
  <pubDate>Wed, 29 Oct 2008 13:39:49 +0000</pubDate>
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  <title>The Path to Math</title>
  <link>http://ttactechtuesday.pbwiki.com/The+Path+to+Math</link>
  <author>email.hidden@example.com (Susanne Croasdaile)</author>
  <description><![CDATA[<h3>Susanne Croasdaile edited <a href="http://ttactechtuesday.pbwiki.com/The+Path+to+Math">The Path to Math</a></h3>
I need…<br />Is this the same as...<br /><span style="font-weight:bold;color:green;background-color:#cfc;">That’s not enough<br />Put it here<br />Turn it around<br />I like that one<br />That's not the same<br />I think...<br />I know...</span><br />Demonstration Lesson: Pre-K<br />Materials:Cups with 3 blue blocks and 5 green blocks, Thomas the Tank book<br />]]></description>
  <pubDate>Wed, 29 Oct 2008 13:37:42 +0000</pubDate>
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  <title>The Path to Math</title>
  <link>http://ttactechtuesday.pbwiki.com/The+Path+to+Math</link>
  <author>email.hidden@example.com (Susanne Croasdaile)</author>
  <description><![CDATA[<h3>Susanne Croasdaile edited <a href="http://ttactechtuesday.pbwiki.com/The+Path+to+Math">The Path to Math</a>]]></description>
  <pubDate>Mon, 27 Oct 2008 11:34:39 +0000</pubDate>
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  <title>The Path to Math</title>
  <link>http://ttactechtuesday.pbwiki.com/The+Path+to+Math</link>
  <author>email.hidden@example.com (Susanne Croasdaile)</author>
  <description><![CDATA[<h3>Susanne Croasdaile edited <a href="http://ttactechtuesday.pbwiki.com/The+Path+to+Math">The Path to Math</a></h3>
<span style="color:red;background-color:#fcc;">Materials:Cups with 3 blue blocks and 5 green blocks, Thomas the Tank book<br />Four year old Foundation Blocks<br />Vocabulary:some, more, fewer, bigger, how many, count, take away, how many are left?<br />Activity:<br />You have a cup of blocks in front of you.You have some green blocks and some blue blocks.<br />I want you to count out 3 blue blocks. Let me hear you count… 1, 2, 3.Ok, How many blocks do you have?<br />Now, can you make a train with your blocks?How many blocks are in your blue train?<br />That’s right 3.<br />Now, get your cup again. Let’s count the green blocks.<br />Count out 5 blocks….. Let me hear you count them.1, 2, 3, 4, 5. How many green blocks do you have?<br />Now, make another train with your green blocks?<br />1, 2, 3, 4, 5 How many cars are in your train?<br />Remember Thomas the Tank, well the first block is the engine?Where is the first block?Where is the second block?Where is the third block?<br />Which train is bigger?That’s right, the green train is bigger.Which train has more blocks</span>]]></description>
  <pubDate>Mon, 27 Oct 2008 11:33:16 +0000</pubDate>
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  <title>The Path to Math</title>
  <link>http://ttactechtuesday.pbwiki.com/The+Path+to+Math</link>
  <author>email.hidden@example.com (Susanne Croasdaile)</author>
  <description><![CDATA[<h3>Susanne Croasdaile edited <a href="http://ttactechtuesday.pbwiki.com/The+Path+to+Math">The Path to Math</a></h3>
<span style="font-weight:bold;color:green;background-color:#cfc;">Materials:Cups with 3 blue blocks and 5 green blocks, Thomas the Tank book<br />Four year old Foundation Blocks<br />Vocabulary:some, more, fewer, bigger, how many, count, take away, how many are left?<br />Activity:<br />You have a cup of blocks in front of you.You have some green blocks and some blue blocks.<br />I want you to count out 3 blue blocks. Let me hear you count… 1, 2, 3.Ok, How many blocks do you have?<br />Now, can you make a train with your blocks?How many blocks are in your blue train?<br />That’s right 3.<br />Now, get your cup again. Let’s count the green blocks.<br />Count out 5 blocks….. Let me hear you count them.1, 2, 3, 4, 5. How many green blocks do you have?<br />Now, make another train with your green blocks?<br />1, 2, 3, 4, 5 How many cars are in your train?<br />Remember Thomas the Tank, well the first block is the engine?Where is the first block?Where is the second block?Where is the third block?<br />Which train is bigger?That’s right, the green train is bigger.Which train has more blocks</span>]]></description>
  <pubDate>Mon, 27 Oct 2008 11:30:26 +0000</pubDate>
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  <title>The Path to Math</title>
  <link>http://ttactechtuesday.pbwiki.com/The+Path+to+Math</link>
  <author>email.hidden@example.com (Susanne)</author>
  <description><![CDATA[<h3>Susanne edited <a href="http://ttactechtuesday.pbwiki.com/The+Path+to+Math">The Path to Math</a></h3>
Assistive technology and accommodation considerations: (to be added during workshop)<br />Communication considerations: (to be added during workshop)<br /><span style="font-weight:bold;color:green;background-color:#cfc;">views since 10-13-08</span><br />]]></description>
  <pubDate>Mon, 13 Oct 2008 15:15:53 +0000</pubDate>
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  <title>The Path to Math</title>
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  <author>email.hidden@example.com (Susanne)</author>
  <description><![CDATA[<h3>Susanne edited <a href="http://ttactechtuesday.pbwiki.com/The+Path+to+Math">The Path to Math</a></h3>
I need…<br />Is this the same as...<br /><span style="font-weight:bold;color:green;background-color:#cfc;">Demonstration Lesson: Pre-K</span><br />Math vocabulary: groups, more, less, fewer, same, different, bigger, smaller, longer, shorter<br />Task: Use manipulatives to make and compare “trains” using [x] pieces<br />Assistive technology and accommodation considerations: (to be added during workshop)<br />Communication considerations: (to be added during workshop)<br /><span style="color:red;background-color:#fcc;">Demonstration Lesson: Pre-K</span><br />]]></description>
  <pubDate>Mon, 13 Oct 2008 15:15:11 +0000</pubDate>
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  <title>The Path to Math</title>
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  <description><![CDATA[<h3>Susanne edited <a href="http://ttactechtuesday.pbwiki.com/The+Path+to+Math">The Path to Math</a></h3>
I need…<br />Is this the same as...<br /><span style="color:red;background-color:#fcc;">Demonstration Lesson 1: Pre-K</span><br />Math vocabulary: groups, more, less, fewer, same, different, bigger, smaller, longer, shorter<br />Task: Use manipulatives to make and compare “trains” using [x] pieces<br />Assistive technology and accommodation considerations: (to be added during workshop)<br />Communication considerations: (to be added during workshop)<br />Demonstration<span style="color:red;background-color:#fcc;"> Lesson 2:</span><span style="font-weight:bold;color:green;background-color:#cfc;"> Lesson:</span> Grade 2<br />Math vocabulary: group, set, rectangle, piece, same, different<br />Task: Use a grid and blocks to make a rectangle using [x] pieces ([x] = 4, 9, 10, 12, 16, 18)<br />Assistive technology and accommodation considerations: (to be added during workshop)<br />Communication considerations: (to be added during workshop)<br />Demonstration<span style="color:red;background-color:#fcc;"> Lesson 3:</span><span style="font-weight:bold;color:green;background-color:#cfc;"> Lesson:</span> Grade 4<br />Math vocabulary: group, set, rectangle, piece, same, different, area, length, width<br />Task: Use a grid and blocks to determine the area of a room<br />Assistive technology a]]></description>
  <pubDate>Mon, 13 Oct 2008 15:14:16 +0000</pubDate>
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  <title>The Path to Math</title>
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  <author>email.hidden@example.com (Susanne)</author>
  <description><![CDATA[<h3>Susanne edited <a href="http://ttactechtuesday.pbwiki.com/The+Path+to+Math">The Path to Math</a></h3>
<span style="color:red;background-color:#fcc;">Terms:<br />numeracy<br />literacy<br />communication<br />concept<br />fact<br />manipulative<br />model<br />accommodate (may adapt the method)<br />modify (may adapt the level)<br />spiral<br />scaffold<br />remediate<br />re-teach<br />assistive</span><span style="font-weight:bold;color:green;background-color:#cfc;">The Path to Math<br />Demonstration Lesson:Grocery shopping<br />Math vocabulary: sort; categorize; pound; ounces; quart; cups; numbers; more than/less than; dollar amounts; fractions (4 parts=1whole); less than; fractions/decimals; 6 pack; counting; measurement (16oz. = pound); money for payment<br />Skills:<br />Number and Number Sense:counting; classifying; number relationships (more than/less than; simple fractions; whole numbers; quantity; decimals<br />Measurement:weight; volume; money; fractions<br />Patterns, functions &amp; algebra:compare, sort and classify<br />Probability and Statistics:<br />Computation &amp; estimation:addition &amp; subtraction; use appropriate computation tools; multiplication &amp; division intro. Use equal grouping etc.<br />Task:From written list locate and p</span>]]></description>
  <pubDate>Mon, 13 Oct 2008 15:12:01 +0000</pubDate>
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  <author>email.hidden@example.com (Susanne)</author>
  <description><![CDATA[<h3>Susanne edited <a href="http://ttactechtuesday.pbwiki.com/The+Path+to+Math">The Path to Math</a></h3>
<span style="font-weight:bold;color:green;background-color:#cfc;">Terms:<br />numeracy<br />literacy<br />communication<br />concept<br />fact<br />manipulative<br />model<br />accommodate (may adapt the method)<br />modify (may adapt the level)<br />spiral<br />scaffold<br />remediate<br />re-teach<br />assistive technology<br />instructional technology<br />alternative assessment (SOL)<br />alternate assessment (ASOL)<br />Demonstration Lesson 1: Pre-K<br />Math vocabulary: groups, more, less, fewer, same, different, bigger, smaller, longer, shorter<br />Task: Use manipulatives to make and compare “trains” using [x] pieces<br />Count out [x] red [bears, inchworms, blocks, etc.]. Count them aloud: 1, 2, 3, …[x].<br />Make a “train” using those [bears, inchworms, blocks, etc.]<br />Touch each red [bears, inchworms, blocks, etc.] in the train and count them aloud: 1, 2, 3, …<br />Count out [x +1] blue [bears, inchworms, blocks, etc.]. Count them aloud: 1, 2, 3, …[x +1].<br />Make another train using the blue [bears, inchworms, blocks, etc.]<br />Touch each blue [bears, inchworms, blocks, etc.] and count the</span>]]></description>
  <pubDate>Mon, 13 Oct 2008 15:09:19 +0000</pubDate>
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  <description><![CDATA[<h3>Susanne added <a href="http://ttactechtuesday.pbwiki.com/The+Path+to+Math">The Path to Math</a></h3>
<div style="margin: 0in 0in 0pt"><strong>Demonstration Lesson:&nbsp;Grocery shopping</strong></div><br />
<div style="margin: 0in 0in 0pt"><u>Math vocabulary: </u>&nbsp;&nbsp;sort; categorize; pound; ounces; quart; cups; numbers; more than/less than; dollar amounts; fractions (4 parts=1whole); less than; fractions/decimals; 6 pack; counting; measurement (16oz. = pound); money for payment</div><br />
<div style="margin: 0in 0in 0pt">&nbsp;</div><br />
<div style="margin: 0in 0in 0pt"><u>Skills:</u></div><br />
<ul style="margin-top: 0in" type="disc"><br />
 <li style="margin: 0in 0in 0pt">Number and Number Sense:&nbsp;counting; classifying; number relationships (more than/less than; simple fractions; whole numbers; quantity; decimals</li><br />
 <li style="margin: 0in 0in 0pt">Measurement:&nbsp;weight; volume; money; fractions</li><br />
 <li style="margin: 0in 0in 0pt">Patterns, functions & algebra:&nbsp;compare, sort and classify</li><br />
 <li style="margin: 0in 0in 0pt">Probability and Statistics:&nbsp;</li><br />
 <li style="margin: 0in 0in 0pt">Co</li></ul>]]></description>
  <pubDate>Mon, 13 Oct 2008 15:08:29 +0000</pubDate>
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iPod Your Life<br />Windows Media Encoder<br /><span style="font-weight:bold;color:green;background-color:#cfc;">The Path to Math</span><br />Podcast Transcripts:<br />Equity Principle<br />]]></description>
  <pubDate>Mon, 13 Oct 2008 15:07:32 +0000</pubDate>
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