Shallow Versus Deep Math

Welcome to our minute calendar week of looking closely at math workshop.  Get to a greater extent than details close my math workshop majority report here.  

Deep Versus Shallow Math

In this week's reading, I was struck yesteryear the departure betwixt deep as well as shallow math.  Here are unopen to characteristics of each type of math.

Shallow Math

- Memorizing algorithms

- Applying an algorithm (usually a give-and-take work establish on the bottom of a page total of do for that algorithm.

- Hunt & re-create exercises

- Plug as well as chug numbers

- Not considering what the numbers mean

- About roofing the content

- Teacher gives out knowledge

Deep Math

- Engaging, exciting, exhausting & inspiring

- Pushes learners out of their comfort zone

- Mental models

- An agreement of a concept that tin plough over the axe live on built upon later

- Discourse

- Challenging tasks

- Students wrestling to brand sense

- Content understanding

- Teacher equally a facilitator of learning

When I was inwards uncomplicated as well as middle schoolhouse 99% of the math I did would live on classified equally shallow math.  I was the queen of the plug as well as chug.  I thrived on algorithms as well as hated "word problems".  When I was inwards high school, it was to a greater extent than of the same until I got to Algebra ii as well as was faced alongside novel as well as challenging problems that no 1 had "taught" me how to solve.  This took my enthusiasm for as well as agreement of math to an alone novel level.  Math cast became exciting as well as invigorating as well as for the root fourth dimension I got to invent my ain strategies for solving problems as well as compare them to my classmates.  It was such a dramatic as well as marked alter for me that it actually is what sparked my involvement inwards becoming a teacher.

Now when I learn math, I endeavour my best to proceed most of what I create alongside my students at the deep level.  Math workshop provides me alongside a vehicle for giving kids back upward solving challenging tasks.  

Your turn!  Can you lot recall of anything that is missing from these lists of shallow as well as deep math?  Where did most of your ain learning create got place? Please reply inwards the comments below!

Come dorsum adjacent calendar week for business office iii of our Minds on Mathematics majority study! 

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