Math+Week+1

=__ **Problem Solving & Mathematical Reasoning** __=


 * Help students develop the following important “processes and proficiencies” in their mathematical practice: **
 * 1) Make sense of problems and persevere in solving them.
 * 2) Reason abstractly and quantitatively.
 * 3) Construct viable arguments and critique the reasoning of others.
 * 4) Model with mathematics.
 * 5) Use appropriate tools strategically.
 * 6) Attend to precision.
 * 7) Look for and make use of structure.
 * 8) Look for and express regularity in repeated reasoning.


 * == Objectives: == || == Essential Question: == ||
 * 1. Demonstrate understanding and flexibility of use of various problem solving approaches: guess & check, work backwards, table or chart, look for a pattern, act it out, draw a picture, etc.

2. Use the Four Square Story Problem approach to build metacognitive awareness for reading, understanding, estimating, planning, calculating, checking, and solving math problems.

3. Develop mathematical reasoning with viable claims and supporting evidence.

4. M ake internal thinking visible and public for other students and teachers by creating and contributing math screencasts to the "How Did You Do That?" Ruth Fox Digital Library.

5. Develop computation skills in the context of problem solving. || ====How do we get students actively engaged in //thinking about their thinking// while solving various math problems? ==== ||

Great Math Resources: @http://www.svsu.edu/supo/curriculum-instruction-assessment.html
 * == Assessment Pieces: == ||
 * Pre-test: Problem Solving ||
 * Pre-test: Multiplication & Division of Fractions and Decimals ||
 * HDYDT Video Clips: Problem Solving & Mathematical Reasoning ||

Math Article Webiste: @http://plus.maths.org/content/


 * Day 1: Introduction to Four Square Problem Solving **
 * **Lessons** || **Resources** || **CCSS** ||
 * || Reading: ||  ||
 * || Evernote: ||  ||
 * || Apps: ||  ||
 * || Discussion Thread: ||  ||
 * || Apps: ||  ||
 * || Discussion Thread: ||  ||


 * Day 2: Four Square Problem Solving: Independent Practice **
 * **Lessons** || **Resources** || **CCSS** ||
 * || Reading: ||  ||
 * || Evernote: ||  ||
 * || Apps: ||  ||
 * || Discussion Thread: ||  ||
 * || Discussion Thread: ||  ||


 * Day 3: Supporting Mathematical Claims with Evidence **
 * **Lessons** || **Resources** || **CCSS** ||
 * || Examine different approaches & solutions to a problem. Make a claim & support w/evidence the better mathematical reasoning. ||  ||
 * || Reading: "Are They Wrong? Or Did They Just Answer a Different Question?" (Professional Article) ||  ||
 * || Reading: ||  ||
 * || Evernote: ||  ||
 * || Apps: ||  ||
 * || Discussion Thread: ||  ||
 * || Discussion Thread: ||  ||


 * Day 4: "HDYDT" Math Clips: **** Problem Solving & Mathematical Reasoning **
 * **Lessons** || **Resources** || **CCSS** ||
 * || * post tutorial/s on how to make screen capture
 * Paul has a FANTASTIC site that would be great reference throughout the institute
 * questions to help students develop metacognitively & reflect on their learning ||  ||
 * || Reading: ||  ||
 * || Evernote: ||  ||
 * || Apps: ||  ||
 * || Discussion Thread: ||  ||