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Data-Guided Mathematics Instruction

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Presentation on theme: "Data-Guided Mathematics Instruction"— Presentation transcript:

1 Data-Guided Mathematics Instruction
Middle Grades Mathematics Division of Academics Department of Mathematics “Giving our students the world” Annie Klian, District instructional supervisor Racquel Gibson, District curriculum support specialist Edward Chaves, District curriculum support specialist Raquel McKinnon, District curriculum support specialist Michelle White, executive director Department of mathematics Office of Academics and Transformation

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3 Today’s Goals: District FSA Data: What is our level of performance as a district? What were our areas of strength and areas for improvement on the 2015 FSA? Progress Monitoring: Mid-Year Assessment: What guidance can we gain from our school and district MYA data results? School-Wide Strategies: What strategies can we implement school-wide to reach our intended outcomes?

4 What is our level of performance as a district?
FSA Data What is our level of performance as a district? What were our areas of strength and areas for improvement on the 2015 FSA?

5 oada.dadeschools.net Weekly Briefing # 18631

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7 FSA Update Final Achievement Level Cut Scores as of Jan. 6, 2016 NEW

8 District Scores for 2014-2015 FSA
Grade/ Course District % Students: Levels 3-5 Grade 3 Math 60 Grade 4 Math 62 Grade 5 Math 54 Grade 6 Math 49 Grade 7 Math 46 Grade 8 Math 38 Algebra 1 6th Grade: 100 7th Grade: 85 8th Grade: 77 Geometry 7th Grade: 100 8th Grade: 90

9 DATA Think-Pair-Share Review the Reporting Category data for the 2015 FSA for each grade level. Turn to a partner and discuss which Reporting Categories were the strongest and the weakest for each grade level. Are there any trends across grade levels? Review how the Reporting Categories are weighted. Discuss how the highest and lowest performing categories of each grade level are weighted. Review the Year-At-A-Glance and identify when instruction for the Reporting Categories most in need of improvement occurs. Brainstorm solutions together for: Improving areas of weakness Maintaining and increasing areas of strength

10 Grade 6 strongest weakest Now let’s look at how these Reporting Categories are distributed on the FSA….

11 weakest strongest

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13 Grade 7 strongest weakest

14 weakest *Max points for RP and G were the same for FSA. Both were approximately 24% of the test. strongest

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16 Grade 8 strongest weakest

17 weakest strongest

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19 Progress Monitoring: Mid-Year Assessment
What guidance can we gain from our school and district data results?

20 District Scores for 2015-2016 Mid-Year Assessments
Grade/ Course District Percent Proficient Grade 3 Math 60 Grade 4 Math 58 Grade 5 Math 49 Grade 6 Math 45 Grade 7 Math 34 Grade 8 Math 26 Algebra 1 46 Geometry 41 *as of 1/8/16 *Keep in mind that the percentages for Algebra 1 and Geometry also include the high school students that are tested.

21 District Scores for 2015-2016 Mid-Year Assessments
Grade/ Course District Average Percent Correct Change from to Grade 6 Math 50 same Grade 7 Math 40 Grade 8 Math 32 34 +2 Algebra 1 35 37 Geometry 42 43 +1 *as of 1/8/16 *Keep in mind that the percentages for Algebra 1 and Geometry also include the high school students that are tested.

22 A Deeper Dive~ Grades 6-8 Mid-Year Assessment Data Analysis

23 % of 6th Grade Standards assessed on the Grade 6 MYA: 37.9%
It is imperative to administer Topic Assessments for upcoming standards Standard 2014 % Correct 2015 % Correct MAFS.6.NS.1.1 33.75% 34.21% MAFS.6.NS.2.2 58% 60.76% MAFS.6.NS.2.3 62.98% 62.80% MAFS.6.NS.2.4 47.68% 47.60% MAFS.6.NS.3.5 50.28% 47.18% MAFS.6.NS.3.6a 38.68% 37.25% MAFS.6.NS.3.6b 50.34% 49.76% MAFS.6.NS.3.6c 48.03% 48.52% MAFS.6.NS.3.7a 53.05% 51.10% MAFS.6.NS.3.7b 61.84% 53.26% MAFS.6.NS.3.7c 38.02% 37.31% MAFS.6.NS.3.7d 56.1% 57.78% MAFS.6.NS.3.8 54.91% 53.52% MAFS.6.RP.1.1 43.35% 44.87% MAFS.6.RP.1.2 56.07% MAFS.6.RP.1.3a 53.75% 55.01% MAFS.6.RP.1.3b 61.51% 60.96% MAFS.6.RP.1.3c 37.64% 35.75% MAFS.6.RP.1.3d 47.17% 48.97% Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. Understand the absolute value of a rational number as its distance from 0 on the number line; interpret absolute value as magnitude for a positive or negative quantity in a real-world situation. *weakest on FSA *Data as of Students need to know 29 standards for FSA (including the “also assesses” standards). MYA assessed 11 out of 29 standards=37.9%. 6.NS.1.1 6.NS.3.7c 6.RP.1.3c Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent. *strongest on FSA Not Assessed on MYA

24 % of 7th Grade Standards assessed on the Grade 7 MYA: 33.3%
2014 % Correct 2015 MAFS.7.EE.1.2 22.93% 22.50% MAFS.7.EE.2.3 42.98% 41.92% MAFS.7.NS.1.1a 49.43% 50.64% MAFS.7.NS.1.1b 53.52% 51.31% MAFS.7.NS.1.1c 28.43% 28.99% MAFS.7.NS.1.1d 31.6% 32.21% MAFS.7.NS.1.2a 47.17% 48.39% MAFS.7.NS.1.2b 30.18% 30.84% MAFS.7.NS.1.2c 40.37% 37.33% MAFS.7.NS.1.2d 45.02% 41.86% MAFS.7.NS.1.3 45.7% 46.44% MAFS.7.RP.1.1 37.58% 38.93% MAFS.7.RP.1.2a 49.48% 49.27% MAFS.7.RP.1.2b 43.96% 44.13% MAFS.7.RP.1.2c 47.13% 46.70% MAFS.7.RP.1.2d 45.25% 45.03% MAFS.7.RP.1.3 33.96% 33.21% Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. * = no calculator * * * * Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts. * * *weakest on FSA * * * *strongest on FSA * Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then –(p/q) = (–p)/q = p/(–q). Interpret quotients of rational numbers by describing real-world contexts. *Data as of Students need to know 24 standards for FSA (including the “also assesses” standards). MYA assessed 8 out of 24 standards=33.3%. 39.1%= average for non-calculator standards 42.7%= average for calculator standards Not Assessed on MYA

25 % of 8th Grade Standards assessed on the Grade 8 MYA: 46%
2014 % Correct 2015 MAFS.8.EE.1.1 33.66% 34.19% MAFS.8.EE.1.2 38.51% 39.63% MAFS.8.EE.1.3 32.72% 34.00% MAFS.8.EE.1.4 32.83% 35.20% MAFS.8.EE.2.5 39.75% 41.81% MAFS.8.EE.2.6 23.45% 24.38% MAFS.8.EE.3.7a 21.73% 24.40% MAFS.8.EE.3.7b 35.34% 36.63% MAFS.8.EE.3.8a 44.1% 44.21% MAFS.8.EE.3.8b 23.17% 24.61% MAFS.8.EE.3.8c 29.35% 30.67% MAFS.8.F.1.1 36.38% 41.41% MAFS.8.F.1.3 37.39% 40.78% MAFS.8.F.2.4 32.5% 33.55% MAFS.8.NS.1.1 27.77% 29.76% MAFS.8.NS.1.2 32.52% 32.37% * = no calculator * Derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b. *weakest on FSA * * Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers). *Data as of Students need to know 28 standards for FSA (including the “also assesses” standards). MYA assessed 13 out of 28 standards=46%. *strongest on FSA Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. 33.1%= average for calculator standards 34.7%= average for non-calculator standards * * Not Assessed on MYA

26 School-Wide Strategies

27 Data Disaggregation Look-fors
This will go nicely in my data binder! Data Disaggregation is a process of breaking down data from various sources to help identify strengths or need in a particular area. In education, data helps us to identify root causes that will lead to a change in the way we instruct, discipline, etc. For schools, it could be from student performance data, behavioral issues, staffing patterns etc. Let say we have identified a goal that we want to achieve; data help guide us to that mark. Data disaggregation occurs at all levels of education (state, school, classroom and student). Leadership shares with schools the expectation and the school/teachers/students decide the measured goals on how to accomplish these expectations. In the FCIM process we begin use data disaggregation for student performance. We look from a school wide perspective and identify the strengths and weaknesses of each core academic area. We will take you through an activity that helps to disaggregate student performance data, this activity uses the DART Model. The FCIM process begins with planning. Spending time up front planning will save time during implementation. One of the most critical pieces of the planning stage is preparing to use data in ways that are meaningful and effective for decision making. In order for analysis of data to occur, a common framework for understanding must be in place. If the analysis of the data, this first step, is not done correctly or thoroughly; then all of the other steps will be less effective. While school grades gives a snapshot of a school’s performance; this does not tell the whole story. Who has already disaggregated their school data? Analyzed by grade, teacher, and student? How many of you completed this process yourself? Who was handed the data already analyzed for you by the district? How many of you have intra-net or web-based programs which assist with the analysis of your data?

28 STOP RANDOM ACTS FROM DATA!

29 Using Data Reports Effectively

30 Data-Driven Spiral Review
An often overlooked element is deliberate explicit spiral review. This deliberate planning of spiral review will allow students to maintain the knowledge level of skills taught earlier in the school year and further allows students in need of remediation at least one additional opportunity for explicit instruction and review on that skill.

31 Distractor Analysis Item Analysis Standard Analysis At Risk Report
G2D *Next iCAD: Feb 1st & 2nd Types of Data Reports Distractor Analysis Item Analysis Standard Analysis At Risk Report

32 Instructional Focus Calendar Differentiated Instruction Groups
Item Analysis Distractor Analysis Standard Analysis At Risk Instructional Focus Calendar Differentiated Instruction Groups

33 Instructional Focus Calendars
Note: The next Middle Grades Math iCADs on 2/1 and 2/2 will include how to create Instructional Focus Calendars.

34 PRIMARY and SECONDARY Standards
PRIMARY Standard: based on the Pacing Guide Curriculum (new concepts) SECONDARY Data Driven Standard: based on the MYA and Topic Assessment data What do we need to revisit that has already been taught? Find the opportunities to embed secondary standards with upcoming concepts. Best Practice: Revisit through the Bellringers Resources: McGraw-Hill Power-Up, Item Spec Sample Items, McGraw-Hill Extra Practice Word Problems, McGraw-Hill Countdown, Topic Assessment Questions MAFS Review Packets will be released in early February

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36 Rates Equations Dividing Multi-Digit Numbers
Multiplying Decimals, Dividing Decimals, Dividing Multi-Digit Numbers

37 8 October 2015

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39 Data-Guided Instructional Focus Planning Sheet
Week # MYA info At Risk “Students by Standards” Report McGraw-Hill Countdown CPALMS- Formative Assessments link Item Specs & Examples

40 Use the At Risk Report & Filter by: Students by Standards

41 Getting Ready for the 2016 FSA~ MAFS Review Packets

42 Mathematics Formative Assessment System (MFAS)
MFAS include tasks or problems teachers can implement with their students and rubrics that help the teacher interpret students’ responses. Teachers using MFAS ask students to perform mathematical tasks, explain their reasoning and justify their solutions. Includes videos of questioning strategies with students. This system is available on CPALMS to all stakeholders in Florida, including teachers, parents and students. MFAS Performance Tasks on the Math Florida Standards and PD modules for grades 4-8, Algebra, and Geometry are available in CPALMs. Also available: Lesson Study Toolkits

43 OELCS 2005 Math Module 3 Speaker Notes

44 Edgenuity MAFS Review Modules
Grade 6 MAFS Review Modules Grade 7 MAFS Review Modules Grade 8 MAFS Review Modules Algebra I MAFS Review Modules Geometry MAFS Review Modules Edgenuity Username: MA and Student ID (Ex: MA ) Edgenuity Password: Student ID (Ex: )

45 Resources: McGraw-Hill: Enrich Problem-Solving Practice
Skills Practice Extra Practice Re-Teach Interactive Guide for ELL Countdown e-Assessment Item Bank MAFS Review Packets Edgenuity Benchmark Review CPALMs Mathematics Formative Assessment (MFAS) Item Specs Sample Items/ FSA Practice Test problems Illustrative Mathematics, EngageNY, Mathematics Assessment Resource Service (M.A.R.S.)- Website resources hyper-linked in Pacing Guides Khan Academy Algebra Nation Gizmos IBTP Item Bank

46 FSA Reminders- FAMS Conference: October 2015
Briefing ID #: 18391

47 Wendy Peel Texas Instruments, Inc.
Technology Adoption Consultant Texas Instruments, Inc.  Phone:              Iliana Gonzalez Market Development Manager Casio America, Inc. Phone:

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49 Upcoming Professional Development

50 Middle Grades Math/Algebra I/Geometry
Professional Development Opportunities: January–February 16, 2016 DATES SESSION NAME AUDIENCE LOCATION 01/14/2016 Teaching for Deeper Understanding of Middle Grades Mathematics- All Regions-January 2016 Grades 6-8 Math Teachers Ruben Dario Middle School 01/25/2016 Teacher Planning Day Mathematics Resource Showcase: Hands-On Equations, Edcite, ETA Manipulatives, Voyager, LearnBop Edison 02/01/2016 Middle Grades Mathematics Leaders’ iCAD: A Grades 6-8 Math Chairpersons Jose Marti MAST 6-12 Academy 02/02/2016 Middle Grades Mathematics Leaders’ iCAD: B Southwood 02/16/2016 District PD Day Florida Standards Assessment Essentials: Grades 6-8 Mathematics Hialeah Middle School Edcite: Creating Technology-Enhanced Assignments/ Gizmos: Preparing Students for FSA using Gizmos Intensive Mathematics: Concept Development with Ready Florida MAFS/ i-Ready/Reflex i-Ready: Understanding Data and Instruction for Math Teachers: Grades K-8 Grades K-8 Math Teachers FSA EOC Assessment Essentials – Algebra 1 and Algebra Nation Algebra I Teachers Coral Gables SHS FSA EOC Assessment Essentials – Geometry And Geometry Nation Geometry Teachers

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52 Department of Mathematics Florida Department of Education
Department of Mathematics 1501 N.E. 2nd Avenue, Suite 326 Miami, Fl Office: Fax: Florida Department of Education


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