Beyond Pizza as well as Pies Book Study Part 2

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Welcome to calendar week 2 of our majority report on check out this post.  If y'all demand to a greater extent than convincing well-nigh how much this majority has to offer, banking venture fit out this curt introduction video!

I am so excited that y'all are joining me on this journeying to larn to a greater extent than well-nigh teaching fractions.  I know many folks are participating past times next along.  Even if y'all are non caught upward on the reading, delight experience costless to comment as well as part your ain experiences amongst teaching fractions.

The posting schedule for Beyond Pizzas & Pies (all Wednesdays)
June tenth Chapters 1&2
June 17th Chapters 3&4
June 24th Chapters 5&6
July 1st Chapters 7&8

Chapter 3: Understanding Equivalency

I dear the opening scenario inwards this chapter.  Kids next a physical care for that their instructor taught them without whatever existent agreement of the concept or context is so mutual inwards our electrical flow mathematics instruction.  If this instructor hadn't dug a niggling deeper as well as asked a context enquiry similar this one, they mightiness never bring known that their students had no agreement of the persuasion of equivalency.  I bring had this come about to me as well as seen it come about to other teachers over as well as over again.  When y'all motion from teaching procedures to teaching conceptually, it tin survive difficult seeing how niggling your students understand.  

I am blown away past times the video clips inwards this chapter as well as the entire lesson on measurement amongst Cuisenaire Rods.  I pass a lot of fourth dimension on equivalency using surface area models as well as a reveal employment but this lesson seems similar a cracking means to couplet the two.  This lesson is simple as well as slow to replicate but seems similar a vivid means to await at equivalency as well as to motion from an surface area model to a linear or reveal employment model.  The follow upward lesson where the rods are used on the reveal employment also looks rattling effective.  These 2 lessons volition definitely survive a purpose of my students' run on equivalency side past times side year.  

Fraction Kits: Friend or Foe?

I dear the subtitle of this chapter.  I bring a love/hate human relationship amongst fraction kits.  When I get-go started transitioning to using to a greater extent than manipulatives as well as visual models, I persuasion fraction kits were the best affair ever.  Then I realized many of my students were using their fraction kits similar calculators.  Something that was meant to survive used equally a tool to motion them toward conceptual agreement was instantly beingness used equally the solely strategy they had for solving problems.  Since so I bring been on a bespeak to honor the correct residual betwixt hands on experiences as well as helping kids to prepare mental models as well as conceptual understanding.  

I institute the enquiry the writer conducted well-nigh using fraction kits to survive similar to my ain experience.  I dear when this happens!  She talks well-nigh how she worked amongst 2 unlike groups of students on part-whole fraction ideas.  Cuisenaire Rods were used amongst both groups.  One grouping used them equally a fraction kit where each slice was ever the same fraction.  The other grouping used them amongst to a greater extent than flexibility where the whole would alter as well as thence the names of the other pieces.  The instant grouping made to a greater extent than gains inwards their agreement than the get-go group.  When I started using designing blocks inwards add-on to fraction kits, I saw the same thing.  Although problems were initially harder for kids equally the whole was changing, the developed a ameliorate agreement of fractions over time. 

Based on this reading as well as my ain experiences, I retrieve fraction kits soundless bring a house as well as I volition survive keeping my making fraction strips lesson inwards 3rd grade.  However, I volition survive adding the lessons inwards the majority using Cuisenaire Rods as well as volition drib dead on to retrieve well-nigh how to brand certain students are non using fraction kits equally calculators.  

I travel out y'all amongst this quote from the cease of the chapter:
"They (fraction kits) tin back upward students' reasoning well-nigh fractions as well as assistance them brand feel of basic fraction computation.  When used inwards a superficial way, however, fraction kits may Pb students to prepare superficial understandings of part-whole relations.  Students may come upward to empathise fraction names such equally one-fourth to survive simply the hollo of a slice from a fraction kit, non a hollo that implies a specific mathematical human relationship betwixt a purpose as well as a whole." 

What are your experiences amongst fraction kits? How well-nigh teaching equivalency? Let us know inwards the comments below!  

Join us side past times side calendar week equally nosotros await at the importance of context inwards identifying the unit of measurement as well as making feel of fraction as well as decimal notation.  Be the get-go to run across novel posts past times next my weblog (look inwards the upper correct manus plow over column for ways to follow me) or my Facebook page.



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