Audit lesson plans for references to mathematical practices and strategies for ELL

[flannery-denny]

Current inclusion of these boxes in lesson plans is pretty sporadic and I'm often not understanding the connection that led someone to put them there. Let's discuss.

• [ ] checking your work
• [ ] choosing your dataset
• [ ] combination
• [ ] permutation
• [x] contracts
• [x] coordinates
• [ ] correlations
• [x] defining functions
• [ ] defining table functions
• [x] defining values
• [ ] displaying categorical data
• [ ] displays and lookups
• [x] distance
• [ ] ds intro
• [ ] error analysis
• [ ] ethics and privacy
• [x] flags
• [x] function composition
• [x] functions for character animation
• [ ] grouped samples
• [ ] histograms
• [ ] histograms 2
• [ ] hoc wescheme intro
• [ ] hoc winter
• [ ] if expressions
• [x] ineq -collision
• [x] simple ineq
• [x] compound ineq
• [x] sam
• [ ] lr
• [ ] linearity
• [ ] linearity 2
• [x] making game images
• [ ] measures of center
• [ ] measures of spread
• [ ] method chaining
• [x] numbers inside video games
• [x] order of operations
• [x] piecewise functions
• [x] player animation
• [x] problem decomposition
• [ ] random samples
• [x] restating the problem
• [ ] scatter plots
• [x] simple datatypes
• [x] solving word problems
• [x] surface area rect prism
• [ ] table methods
• [ ] threats to validity

[flannery-denny]

@schanzer I can't remember whether we were waiting for sidebar infrastructure for this or whether this info just gets added to standards?

Also, I remember you having several lists of practices that we should be referencing. Could you please remind me where to find these so that I can read with an eye toward what needs to be included where? Thanks

[schanzer]

@flannery-denny This can get added without worrying about sidebar, so there's no need to wait. Here's a document which lays out all the Mathematical Language Routines (MLRs).

[flannery-denny]

Mathematical Practices

[schanzer]

And here are the NGSS Practices:

1. Asking questions (for science) and defining problems (for engineering)
2. Developing and using models
3. Planning and carrying out investigations
4. Analyzing and interpreting data
5. Using math and computational thinking
6. Constructing an explanation (for science) and designing a solution (for engineering)
7. Engaging in an argument stemming from evidence
8. Obtaining, evaluating, and communicating information

[flannery-denny]

@schanzer

• Mathematical Practices and NGSS Practices clearly go in lessons and standards AND
• the origin of this git issue was about MLRs, which have been in blue boxes in the lessons... are they now getting added to the standards so that they get listed in the side bar instead. Do I need to add an MLR standards dictionary in the shared folder in order to use them?

[schanzer]

We had a pretty substantive discussion about the practice standards, which led to the creation of lessons-and-badges.rkt. I assumed all of practices would go there. Are you suggesting putting those back into the standards dictionary?

And yes, I think adding an MLR dictionary is the way to go here. Do you want me to do that, or are you comfortable enough with the build system that you can tackle it yourself?

[flannery-denny]

Not suggesting anything. Just trying to understand.

If I understand correctly, MPs are defined in the common core library dictionary, should be removed from the standards dictionary (there are definitely at least a few there - if you have an efficient way to do this without losing the information, please do), and instead should be listed in lessons-and-badges.rkt

Faster for me if you make the mlr dictionary.

Flannery

On Aug 29, 2021, at 9:08 AM, Emmanuel Schanzer @.***> wrote:

 We had a pretty substantive discussion about the practice standards, which led to the creation of lessons-and-badges.rkt. I assumed all of practices would go there. Are you suggesting putting those back into the standards dictionary?

And yes, I think adding an MLR dictionary is the way to go here. Do you want me to do that, or are you comfortable enough with the build system that you can tackle it yourself?

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[schanzer]

@flannery-denny MPs are already moved into lessons-and-badges. Added the MLR practices dictionary in 31d5a9f6537ee61efbec019f7bd7c1e926e72941

[flannery-denny]

@schanzer I know that you want the MLRs below to be added to lessons-and-badges.rkt.

Confirming that the intention is that this will be in place of including them directly in the lesson plans and the MLR boxes that are currently in lesson plans should be removed in favor of including this info in the side bar?

The reason I'm not totally sure is that MLRs seem like they're supposed to be a strategy that we're offering to support ELLs, whereas MPs seem to be something that we think the lesson is already achieving.

[flannery-denny]

@schanzer - I'm looking at the NGSS dictionary and the NGSS Practices are broken down way more specifically than the 8 practices you included in this issue. Would you be ok with editing the dictionary to focus on the key 8 to make the audit more manageable?

[flannery-denny]

SEP.1 Asking questions (for science) and defining problems (for engineering) SEP.2 Developing and using models SEP.3 Planning and carrying out investigations SEP.4 Analyzing and interpreting data SEP.5 Using math and computational thinking SEP.6 Constructing an explanation (for science) and designing a solution (for engineering) SEP.7 Engaging in an argument stemming from evidence SEP.8 Obtaining, evaluating, and communicating information

MP.1 Make sense of problems and persevere in solving them. MP.2 Reason abstractly and quantitatively MP.3 Construct viable arguments and critique the reasoning of others. MP.4 Model with mathematics. MP.5 Use appropriate tools strategically. MP.6 Attend to precision. MP.7 Look for and make use of structure. MP.8 Look for and express regularity in repeated reasoning.

MLR.1 Stronger and Clearer Each Time MLR.2 Collect and Display MLR.3 Clarify, Critique and Correct MLR.4 Information Gap MLR.5 Co-Craft Questions and Problems MLR.6 Three Reads MLR.7 Compare and Connect MLR.8 Discussion Supports

[schanzer]

@flannery-denny happy to do it. But I'm curious - why remove the unused ones that we aren't focusing on for now? Does it do any harm to keep them?

[flannery-denny]

@schanzer I'm fine to leave them, but, currently the overarching SEP are commented out and I would like to be able to use them so I am going to uncomment them.

[flannery-denny]

@schanzer I'm putting MP, SEP and MLR in lessons and badges. Pretty sure that was the plan.

[schanzer]

Fixed the NGSS file as you requested. And yes, these should all go in lessons-and-badges.

[flannery-denny]

@schanzer We could definitely be making better use of

MATHEMATICAL LANGUAGE ROUTINE 3: CRITIQUE, CORRECT, AND CLARIFY Purpose: To give students a piece of mathematical writing that is not their own to analyze, reflect on, and develop. The intent is to prompt student reflection with an incorrect, incomplete, or ambiguous written argument or explanation, and for students to improve upon the written work by correcting errors and clarifying meaning. Teachers can model how to effectively and respectfully critique the work of others with meta-think-alouds and press for details when necessary. This routine fortifies output and engages students in metaawareness.

Also described as

DECIDE AND DEFEND Decide and Defend is an instructional routine in which students make sense of another’s line of mathematical reasoning, decide if they agree with that reasoning, then draft an argument defending their decision. The routine fosters MP3, construct viable arguments and critique the reasoning of others.

[flannery-denny]

@schanzer Does the Error Analysis lesson I'm seeing listed in standards exist somewhere? the asciidoc file looks very incomplete to me.

[flannery-denny]

@schanzer No rush on this, but I just did a find in files search for Strategies or English Language Learners and added all of the lesson with those boxes to the standards file. Strangely not the strategies I had independently associated with the lessons. Anyhow, curious whether or not you want to leave all of those boxes in the lessons. And, if so, if you want a box added for each lesson that I claimed had an MLR connection.

[schanzer]

Ooooh, good catch. I feel like adding boxes would come across as more weighty, but the workload/opportunity cost of doing it may greatly outweigh the benefits. What does your gut tell you?

[flannery-denny]

@flannery-denny review SEP for DS

[flannery-denny]

@schanzer I made notes in the lessons and badges file of which lessons have strategy boxes for MLRs and which connect to MLRs but don't have strategy boxes so we can revisit another time.

[flannery-denny]

@schanzer - this audit makes me think that it would be nice to have the research paper (and perhaps other projects) listed as a separate item in the lessons and badges file. I think the project hits Science & Engineering Practices that the lessons themselves do not.