1. APS Algebra Summit1 Algebra in APS Christina Fritz Franny Dever Mitchell Ross January 31,2008

3. APS Algebra Summit3 ICE BREAKER  Reflect on a vivid math memory Jot down the highlights of your memory  Share your memory with an elbow partner  How many of you had a positive math experience?

4. APS Algebra Summit4 Outcomes Participants will…  Analyze National, State and District data to identify strengths and challenges of student achievement in math.  Identify teacher needs to implement a cohesive middle and high school math program  Create a process to identify students ready for Algebra  Identify best instruction and assessment practices for implementing secondary math programs

5. APS Algebra Summit5 Are Our Kids Prepared? With an elbow partner discuss the question: Are our kids prepared for Algebra?

6. FallSpringWinter BENCHMARK K – 12 Assessment Framework Progress Monitoring Curriculum Based Measures  Core Reading Program Assessments  Core Math Program Assessments  A2L Diagnostics  DRA2/EDL  Running Records  DRA2 Word Analysis  Fundations  Avenues  Wilson  Math Task Bank KDPR DRA2/EDL Assess2Learn HS SCA KDPR DRA2/EDL Assess2Learn HS SCA KDPR DRA2/EDL Assess2Learn HS SCA

8. APS Algebra Summit8 NAEP Overall Results Eighth Grade Math  The percentage of students in New Mexico who performed at or above the NAEP Proficient level was 17 percent in 2007. This percentage was greater than that in 2005 (14 percent).  The percentage of students in New Mexico who performed at or above the NAEP Basic level was 57 percent in 2007. This percentage was not significantly different from that in 2005 (53 percent) and was greater than that in 1990 (43 percent).  New Mexico's average score in 2007 was lower than that of the nation's public schools.

9. SBA Summary Math Results:  25% of 6 th graders are proficient or above  27% of 7 th graders are proficient or above  34% of 8 th graders are proficient or above  43% of 9 th graders are proficient or above

10. APS Algebra Summit10 S upports for 4 Years of Math Algebra 1 in Grade 8  This year about 60% of middle schools are offering Algebra 1  Almost 20% of G8 students are taking Algebra 1 G7 Math NMSBA Proficiency Levels of Students Taking Algebra in G8 in 2006-7 12341234 7%41%44%8% Note: statewide only 23% were at level 3 or 4

11.  77% of all students taking algebra do not have the pre-algebra skills for Algebra I.  8 th graders outperform the other grade levels at beginning algebra skills – 55% are ready for algebra. 70%

12.  10% of all students taking Geometry are proficient on entry level geometry standards  9th graders outperform the other grade levels at beginning geometry skills 70%

13.  6% of all students taking Algebra II are proficient on entry level algebra II standards.  9 th graders outperform the other grade levels at beginning Algebra II skills – 26% are ready for algebra. 70%

14. APS Algebra Summit14 Discussion  Talk in groups of three about the NAEP, SBA and HSSCA data. What does the data tell you?  Whole group debrief Are our kids ready for Algebra? What is your evidence?

15. APS Algebra Summit15 Algebra Selection Process What process do you currently use to select students for Algebra I?

16. APS Algebra Summit16 APS Math Matrix  Review the APS Math Matrix  Provide feedback about the matrix  What are the barriers to completing the document?

17. APS Algebra Summit17 Are our teachers prepared?  Michigan State University Study  Protocol Choose a partner that you have not interacted with today Select who will read first half of the article Select who will read the second half of the article Each person will read silently their half of the article Share the information with your partner

18. APS Algebra Summit18 What do our teachers need?

19. APS Algebra Summit19 Teacher Support at Middle School  Common Program  Three in-service days of professional development  Math content coach visits  Summer institutes

20. APS Algebra Summit20 Teacher Support at High School  Three in-service days of professional development  Math Leaders  (Under construction) Algebra I support course - interventions

21. APS Algebra Summit21 Teacher Qualifications for Algebra I  500 Level K-12 Specialty License with an endorsement in math. This requires that the teacher have 12 college hours at the 300 level or higher and is equivalent to a secondary license. This is usually the route teachers will take when looking for an endorsement in bilingual or ESL.  300 Level 7-12 License in math (highly qualified).

22. APS Algebra Summit22 Teacher Qualifications for Algebra I  To teach any math course at the high school level (Math Strategies I, II, III), the teacher must have one of the above licenses.  To teach a literacy strategy course, the teacher must have one of the above licenses with an endorsement in language arts.

23. APS Algebra Summit23 Mathematics Curriculum  District scope and sequence of curricular materials  Aligns with NM math standards and District course frameworks  Aligns with District short cycle assessment  Provides common formative assessments for teacher collaboration

24. APS Algebra Summit24 Algebra Readiness Standards 1.Applies the ‘Rule of Four’: represents mathematics graphically, symbolically, verbally and numerically. 2.Identifies, describes, models, and/or represents patterns with functions to find and support solutions. 3.Represents and analyzes relationships. 4.Investigates rates of change and applies proportional reasoning.

25. APS Algebra Summit25 Algebra Readiness Standards 5.Symbolically manipulates numbers by solving equations. 6.Computes and solves mathematical problems, without a calculator, using real numbers. 7.Analyzes data and draws conclusions from data using measures of central tendency.

26. APS Algebra Summit26 Connected Math as Algebra I

27. APS Algebra Summit27 Cost/effect comparisons InterventionExtra months of learning/yr Cost/yr Class-size reduction by 30% (e.g., from 30 to 20) 3$30k Increase teacher content knowledge from weak to strong (2 standard deviations) 1.5? Formative assessment/ Assessment for learning 6 to 9$3k Source: Dylan Wiliam, ASCD March 2007

28. APS Algebra Summit28 Comprehensive Formative Assessment System Three Criteria 1.Establish where students are with their learning 2.Establish where they are going 3.Establish how to get there Source: Dylan Wiliam, NCTM Assessment Brief, 2007

29. APS Algebra Summit29 Five Formative Assessment Strategies 1.Clarify, share and understand goals for learning and criteria for success with learners 2.Engineer effective classroom discussions, questions, activities, and tasks that elicit evidence of student’s learning 3.Provide feedback that moves leanring forward

30. APS Algebra Summit30 Five Formative Assessment Strategies 4.Activate students as owner of their own learning 5.Activate students as learning resources for one another Source: Dylan Wiliam, NCTM Assessment Brief, 2007

31. APS Algebra Summit31 Next Steps Where do we go from here?