Ana Jiménez ©

Basic Math: Basic Math: Keeping the Keeping the Focus on Focus on FractionsFractions

Ana JiménezAna JiménezSaturday, November 3, 2007 Saturday, November 3, 2007

1:15 pm - 2:05 pm1:15 pm - 2:05 pm

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Why are Fractions so Why are Fractions so Difficult?Difficult?

Understanding Rules Avoidance

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Methods UsedMethods Used

Assigned a Fraction Mastery Test, worth 10% of the student’s overall gradePresented the material differently from the order of the class textbook

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Fraction Mastery TestFraction Mastery Test

Worth 10% of the student’s grade  Grading scale:

85% or better = 10pts 70 – 84% = 5 pts less than 70% = 0 pts.

Students had several opportunities to take computer regenerated versions

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Fraction Mastery TestFraction Mastery Test

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Methods UsedMethods Used

Assigned a Fraction Mastery Test, worth 10% of the student’s overall gradePresented the material differently from the order of the class textbook

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Order of PresentationOrder of Presentation

Day 1: Introducing Whole Numbers, Fractions, and Decimals Day 2: Adding and SubtractingDay 3: MultiplicationDay 4: DivisionDay 5: Back to Addition and Subtraction

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Order of PresentationOrder of Presentation

Day 1: Introducing Whole Numbers, Fractions, and Decimals all together 

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Sample Lecture Notes – Sample Lecture Notes – Day 1Day 1

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Order of PresentationOrder of Presentation

Day 2: Adding and Subtracting whole numbers, decimals & fractions

Rule: "You can only Add and Subtract Like Terms" 

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Sample Lecture Notes – Sample Lecture Notes – Day 2Day 2

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Order of PresentationOrder of Presentation

Day 3: Multiplication of whole numbers, decimals & fractions

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Sample Lecture Notes – Sample Lecture Notes – Day 3Day 3

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Order of PresentationOrder of Presentation

Day 4: Division of whole numbers, decimals and fractions

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Sample Lecture Notes – Sample Lecture Notes – Day 5Day 5

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Order of PresentationOrder of Presentation

Day 5: Back to Addition and Subtraction so we could look at Unlike Fractions and how to make them “Like”

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ResultsResults

What I would do differentlyPrerequisite WorksheetComputerized Mastery Test

Student ScoresPercentage of students scoring

fraction portion of the final exam correct: 75%

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Student FeedbackStudent Feedback

“… I TRUELY UNDERSTOOD WHAT YOU WERE TEACHING AND BECAUSE YOU INTRODUCED EVERYTHING TOGETHER ON THE FIRST DAY AND THEN INCORPORATED THE ADDING, SUBTRACTING, AND SO ON, I FEEL IT MADE FOR BETTER UNDERSTANDING OF THE MATERIAL. EVEN NOW, IN MY OTHER MATH CLASSES, I USE THE NOTES FROM YOUR CLASS.”

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Give One Get OneGive One Get One

Fill in three boxes with ideas of your own.Get up and start to mingle among your peers who are standing and get ideas for all the other boxes. Each time you interact with a different person, GIVE ONE – of your ideas – and GET ONE. Get that person to write their name in the box. When you have completed all nine boxes, return to your seat. Go for it!

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Thank YouThank You

Ana JiménezPima Community College, Tucson, AZajimenez@pima.edu

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Q & AQ & A

During the presentation, a question came up and I didn't have the answer. Here is the follow-up:Q: What textbook do you use?A: I did this in both the fall and summer semesters of 2006. In the fall I used Elementary and Intermediate Algebra, 4th Edition by Bittinger, Ellenbogen, Johnson (2006) and in the summer I used Basic College Mathematics, 5th Edition by Tobey and Slater (2005)

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