1. edc.org A puzzle to enjoy… I am a 4-digit number 10/31/20151As smart and intrepid as when they were six

2. 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 Goldenberg June Mark Mary Fries

3. edc.org Before you scramble to take notes ttalgebra.edc.org with downloadable presentation 10/31/2015As smart and intrepid as when they were six3

4. edc.org 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 10/31/2015As smart and intrepid as when they were six4

5. edc.org About Transition to Algebra 10/31/20155 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

6. edc.org Habits of Mind approach 10/31/20156 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

7. edc.org 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 10/31/2015Supporting Students to Succeed in Algebra7

8. edc.org Transition to Algebra Units 1.Language of Algebra 2.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 10/31/20158As smart and intrepid as when they were six

9. edc.org A number trick! 10/31/20159As smart and intrepid as when they were six Moving right along…

10. edc.org Transition to Algebra: Building Language and Logic of Algebra 10/31/2015Supporting Students to Succeed in Algebra10

11. edc.org Mobile Puzzles 10/31/201511As smart and intrepid as when they were six

12. edc.org Making the logic of algebra explicit 10/31/201512As smart and intrepid as when they were six

13. edc.org MysteryGrid Puzzles 10/31/201513As smart and intrepid as when they were six

14. edc.org MysteryGrid Puzzles 10/31/201514As smart and intrepid as when they were six

15. edc.org Exponents, too 10/31/201515As smart and intrepid as when they were six

16. edc.org Invent your own! Who Am I? I’m a three digit number. Who am I? Clues: – Blah – … 10/31/201516As smart and intrepid as when they were six

17. edc.org Lesson Components 10/31/2015Supporting Students to Succeed in Algebra17 Mental Mathematics Lesson Launch Student Problem Solving Puzzles Thinking Out Loud (student dialogues) Discussing Together (class discussion) Assessments Additional Practice

18. edc.org 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 10/31/2015Presentation Title Appears Here18

19. edc.org Q&A and Discussion 10/31/201519As smart and intrepid as when they were six

20. edc.org Contact us 10/31/201520 ttalgebra.edc.org e-mail ttalgebra@edc.org Paul Goldenberg, pgoldenberg@edc.orgpgoldenberg@edc.org June Mark, jmark@edc.orgjmark@edc.org Mary Fries, mfries@edc.orgmfries@edc.org As smart and intrepid as when they were six