Remediating Integer Operations

First, a letter.  Then, actual classroom stuff.

Dear MTBoS,

Thank you!  Thank you lot for inspiring me to dice a math teacher.  I ever wanted to live a teacher, but you lot showed me only how fun teaching math could be.  Thank you lot for helping me travel my pupil teaching experience.  Thanks for encouraging me through twelvemonth one.  And twelvemonth two.  And twelvemonth three.  And, now, twelvemonth four.  You've answered my questions.  You've helped me dice along my sanity.  I've stolen to a greater extent than ideas from you lot than I tin count.  If it's happened inward my classroom, there's a 99.5% run a peril the view came from ane of you.  Thank you lot for allowing me to run across my amazing fiance.  You guys aren't my "internet friends" anymore.  You're friends.  Plain in addition to simple.  And, cheers for helping me acquire inward through grad school.  For my most recent class, I had to excogitation a hands-on unit of measurement that was composed of multiple, linked learning cycles.  This sounded daunting until I started stringing together stacking cups, barbie bungee, in addition to tying knots!  You've taught me in addition to then much to a greater extent than than whatever master's computer program ever could.  MTBoS, you've really changed my life!

Love,
Sarah

Now, let's speak some to a greater extent than grad school.  I only finished implementing my activity enquiry projection inward my classroom.  The theme of my projection is remediating integer operations.  We all know how of import it is for students to live able to piece of occupation amongst positive in addition to negative numbers inward algebra in addition to beyond.  When students come upward inward our classrooms lacking these skills, it impacts their performance on a daily basis.

Disclaimer: I don't wholly embraced timed tests.  But, when you're trying to mensurate accuracy in addition to fluency amongst integer operations from a large release of students on a regular basis, you lot produce what you lot conduct maintain to do.

Here was my plan:

Have parents sign a permission slip.  I did this projection amongst all of my Algebra 1 in addition to Algebra 2 students.  


Give students a pre-test.  50 integer operations questions.  5 minutes.


Grade pre-tests.  Input scores inward excel.  Sort scores from highest to lowest.  Take the top ii students.  Randomly assign the start pupil to ane of ii handling groups.  Place the 2nd pupil inward the other group.  Take the side yesteryear side ii students.  Randomly assign the start to ane of the groups.  Place the 2nd pupil inward the other group.  Repeat until all students are assigned to a group.

I had my pupil aide assist me flat a lot of these integer tests.  Her take away heed was blown when I folded over the reply primal to brand grading easier!



Give students a survey to assist mensurate their mental attitude toward math.  Hope this comes inward handy when you lot write upward your findings.

Prepare 2 dissimilar sets of notes.  One ready for each group.

Group 1: Just the Rules


Group 2: Number Lines - These were adapted from a resources I constitute online in addition to conduct maintain later lost.  The notes featured printable pi shaped playing pieces to exercise adding/subtracting on the release line.  I wrote my ain notes for multiplication/division because I couldn't notice whatever that focused on release lines.




Students inward the 2nd grouping also got a release business in addition to a bingo chip amongst an arrow drawn on it.



Bingo Chip inward Action:


My projection requirements meant that students inward each shape menstruum needed to live inward each handling group.  Therefore, whole-class remediation was out.  The remediation procedure needed to live self-guided.

Students also added a post well-nigh the vertical release lines my students glued inward final twelvemonth to assist them amongst slop.  



Are these notes perfect?  Absolutely not.  Having had students utilisation them, I view in addition to then many ways to maybe brand them better.  Use your judgment.  You know best what your students need.

On Tuesdays, Wednesdays, in addition to Thursdays, I ready the SMART Board timer for five minutes in addition to passed roughly the flash carte du jour bucket.


Each pocketbook has 48 flash cards.  These 48 problems were taken from the l query pre-test.  Students piece of occupation through the flash cards piece referencing their notes sheet.  Students amongst release lines should utilisation the release business in addition to chip to human activity out each question.  As students gained confidence, they exclusively used the manipulatives on questions they struggled with.

I chose to utilisation flashcards instead of a worksheet or other activity because of the fact that they allowed students to cheque their answers themselves in addition to inquire for assist when needed.  When I went roughly to reply pupil questions, I ever referred them dorsum to their banker's complaint ready every bit I explained.  I told them that they should live quest fo

I blogged to a greater extent than well-nigh these flash cards in addition to how I made them here.

On Fridays, students took the pre-test ane time to a greater extent than every bit a check-up.  Tests were graded.  Scores were recorded.  On Mondays, students got their tests dorsum to correct.  Students used their notes to rework whatever questions they got wrong, in addition to they used the residuum of their daily five minutes to consummate whatever problems they didn't acquire to.

Mon - Redo missed problems on test
Tuesday - Flash cards
Midweek - Flash cards
Th - Flash cards
Fri - Test

After doing this for iii weeks, I wrote a post-test for students to take.  Students took the regular exam on a Friday.  On Monday, I gave them a exam amongst novel questions.  The operate of this was to ensure that students had non somehow memorized the l answers to the pre-test/weekly check-up test/flash cards.  I told them if they had memorized the answers to all l questions inward order, I would live real impressed!



I graded Friday's exam in addition to Monday's exam in addition to position the grades inward my excel file.

I typed upward a short reflection sheet in addition to used post service merge to import each student's scores for each test.  I typed upward this shape rather hastily, in addition to it shows.  Oh well...


I was a chip disappointed inward how footling exceptional students used inward answering the final ii questions.  :(  I was hoping I'd live able to clit some proficient quotes from in that location to utilisation for my enquiry project!

So, I've got all my information compiled forthwith to decide if the utilisation of manipulatives increases the effectiveness of remediation of integer operations every bit compared to rotely memorizing rules.  One of my classes focuses on how to analyze this data.  I could endeavour to start it on my ain now, but I've got plenty other materials on my plate.

I constitute it interesting that none of my students seemed happy well-nigh what grouping they got placed in.  The students amongst release lines view they were dumb in addition to annoying.  The students without release lines felt cheated.  It absolutely broke my take in when I heard a pupil claim that I had exclusively given him a release business because he was a special teaching student.  I desire my students to view a release business every bit a tool that they should all live using.



Many of my students who weren't inward the grouping that received the release business instructions all the same made utilisation of the number business on the wall on occasion.  They asked if this was okay.  Absolutely!  My projection only dictates what instructions I give you.  They were welcome to solve the problems inward whatever agency they chose.

Oh, in addition to I gauge I should specify this: scores went up!  In both groups.  I'll update you lot after performing farther analysis.  In other news, exclusively 4 to a greater extent than classes left of my master's program!

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