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A puzzle to enjoy… I am a 4-digit number
04/20/23 1As smart and intrepid as when they were six
Teaching At-risk Algebra Students to Be, Once Again, as Smart and Intrepid as They Were When They Were Six
NCSM Annual Conference, April 25, 2012
Paul GoldenbergJune MarkMary Fries
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Before you scramble to take notes
ttalgebra.edc.orgwith downloadable presentation
04/20/23As smart and intrepid as when they were six 3
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Agenda
• Exploring a mathematics puzzle • About Transition to Algebra• Samples from TTA and TTA lesson components• Developing habits of mind to support the
transition from arithmetic to algebra• Some early research findings• Q&A and final discussion
04/20/23As smart and intrepid as when they were six 4
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About Transition to Algebra
04/20/23 5
• 4-year R&D project funded by NSF• From Education Development Center (EDC)• Full-year course to be taken concurrently with
first-year algebra, sometimes called “double-period” algebra
• Also used in other settings including summer school, and middle school as pre-algebra
As smart and intrepid as when they were six
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Habits of Mind approach
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• Quickly giving students the mathematical knowledge, skill, and confidence to succeed in a first-year algebra class
• Focus on a few key mathematical ways of thinking or mathematical habits of mind
• Important algebra topics are used as contexts for fostering these mathematical practices
As smart and intrepid as when they were six
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Transition to Algebra Habits of Mind
• Puzzling and Persevering• Using Structure• Using Tools Strategically• Seeing and Describing Patterns• Communicating Clearly• Consistent with CCSS Mathematical Practices
04/20/23Supporting Students to Succeed in Algebra 7
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Transition to Algebra Units
1. Language of Algebra2. Geography of the
Number Line 3. Distance and Sign 4. Area and Multiplication 5. Logic of Algebra 6. Geography of the
Coordinate Plane
7. Thinking Things Through Thoroughly
8. Rational Expressions 9. Equations, Inequalities,
and Graphs 10. Un-Multiplying:
Factoring and Division 11. Radicals and Exponents 12. Connections Across
Mathematics
04/20/23 8As smart and intrepid as when they were six
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A number trick!
04/20/23 9As smart and intrepid as when they were six
Moving right along…
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Transition to Algebra:Building Language and Logic of Algebra
04/20/23Supporting Students to Succeed in Algebra 10
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Mobile Puzzles
04/20/23 11As smart and intrepid as when they were six
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Making the logic of algebra explicit
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MysteryGrid Puzzles
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MysteryGrid Puzzles
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Exponents, too
04/20/23 15As smart and intrepid as when they were six
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Invent your own! Who Am I?
• I’m a three digit number.Who am I?
• Clues:– Blah– Blah– Blah– …
04/20/23 16As smart and intrepid as when they were six
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Lesson Components
04/20/23Supporting Students to Succeed in Algebra 17
• Mental Mathematics• Lesson Launch• Student Problem Solving• Puzzles• Thinking Out Loud (student dialogues)• Discussing Together (class discussion)• Assessments• Additional Practice
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Early research findings
• Class attrition close to 25%• Class attendance irregular• Individual student scores on a few comparable
items rose significantly• Levels of self-concept in mathematics
increased significantly • Levels of math anxiety decreased significantly
04/20/23Presentation Title Appears Here 18
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Q&A and Discussion
04/20/23 19As smart and intrepid as when they were six
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Contact us
04/20/23 20
• ttalgebra.edc.org• e-mail [email protected]
• Paul Goldenberg, [email protected]• June Mark, [email protected]• Mary Fries, [email protected]
As smart and intrepid as when they were six
