## Additional Resources to Accompany PD Modules

**Arguments: Supplemental Narrated Powerpoints**

*These 4 narrated powerpoint discuss arguments in more depth. *

**Talk Frame Icons**

Talk Frame Icons (Word version)

**Arguments and Procedures: How are procedures part of argumentation? **

## More Helpful Resources About Mathematical Argumentation:

### Websites:

- http://ctcorestandards.org/?page_id=1025 – CT Core Standard resource page for Mathematics teachers.
- http://www.sde.ct.gov/sde/lib/sde/pdf/student_assessment/smarter_balanced/alw/mathematics_claim_3.pdf – A PDF from a presentation by the Connecticut State Department of Education on Smarter Balanced Claim 3
- www.map.mathshell.org – A very useful resource for both tasks and fully developed lessons. The lessons are formative assessment lessons, with a pre-assessment activity, main learning activity, and post assessment. All are aligned to CCSS content and standards.
- http://illuminations.nctm.org – A very extensive set of well developed lessons. Searchable by grade and topic. There are itunes aps for some lessons.
- Illustrativemathematics.org – A site being developed to help make the CCSS document come to life through tasks and examples. Tasks often have “teacher notes.”
- www.nrich.maths.org – A site out of England with really nice problem solving and challenge activities. It is organized by grade levels and “stages” to indicate difficulty. There are some nice support materials like slides and short videos.
- http://learnzillion.com – This site is free, but you need to create an account. It has a very large set of lessons, which are aligned to CCSS. Several “lessons” are powerpoints with a voice over, with suggestions for how to use them in your classroom.
- http://www.mathshell.com/publications/tss/ppn/ppn_masters.pdf – A really nice set of materials from the Shell Centre in England. This PDF has a lot of problems focused on Number and Patterns.
- http://commoncoretools.me – A website with a wide range of tools to support CCSS implementation.
- http://turnonccmath.net – An interesting and interactive map, which unpacks the K-8 Common Core State Standards for Mathematics learning trajectories, standard by standard
- http://ime.math.arizona.edu/progressions – University of Arizona website on the progressions for the Common Core Math Standards K-12
**Creating, critiquing and revising arguments: Ms. Hauser’s Hexagon Train Task**(to access visit our wiki page!)- Read Tennessee: “Tennessee Early Grades Math Toolkit.” Main link (for all MPs):http://www.readtennessee.org/math/teachers/teachers_mathematics_toolkit/mathematical_practices.aspx
- Link for MP3 http://www.readtennessee.org/math/teachers/teachers_mathematics_toolkit/mathematical_practices/construct_viable_arguments_and_critique_the_reasoning_of_others/cv_watch.aspx
- Think Math from EDC http://thinkmath.edc.org/resource/mp3 Solid overview of MP3 and what it looks like in elementary grades

### Additional Readings

*Developing Essential Understanding of Proof and Proving: Grades 9 – 12,*NCTM.- Reid, D. (2002). Describing reasoning in early elementary school mathematics.”
*Teaching Children Mathematics, 9*(4), 234-237.

Reid describes several types of mathematical reasoning that elementary school students use and offers some pedagogical ideas. Article at: http://karolyeatts.com/Math/Resources/describingreasoning.pdf

- Barlow, A. T., and McCrory, M. R. (2011). 3 strategies for promoting math disagreements
*. Teaching Children Mathematics, 17*(9), 530-539. Summary of article at:http://bestpracticesweekly.com/wp-content/uploads/2011/05/Math-Debate-Article.pdf

Day 4 – Argumentation: Day 4_Arg_Handout 1_Take Aways and Resources

### Articles Related to the Bridging Math Practices Project

Math Teaching in the Middle School Articles 2010

Math Teaching in the Middle School Articles 2011-2014

## Videos to Accompany Bridging Math Practices PD Modules

Module 3: Comparing Fraction Video

Module 4: Clip 1 – Is it a Half? Video

Module 4: Clip 2 – Is it a Half? Video