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VDOE Mathematics Update
Virginia Council for Mathematics SupervisionOctober 11, 2011
Mr. Michael Bolling, Mathematics Coordinator, K-12
Dr. Deborah Wickham, Mathematics Specialist, K-5
Elementary and Secondary Education Act• The Obama administration has called for
reauthorization• Flexibility Waivers from the USDOE (late Sept)
– College and career readiness expectations– State-developed recognition, accountability, and
support– Supporting effective instruction and leadership
• ESEA Reauthorization Act of 2011 (Oct 12) (link here)
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So, will
waivers be
necessary?
ESEA Reauthorization Act of 2011 (proposed)• The term “Adequate Yearly Progress” is not
included• Testing stays for grades 3-8 and high school,
but allows for an end-of-year test or interim assessment measures
• States must ensure a rigorous standard of “continuous improvement in student progress”
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ESEA Reauthorization Act of 2011 (proposed)• States must identify lowest-performing 5% of
schools and provide support• States must identify 5% of schools with the
biggest gaps between subgroups and provide support
• Addresses leadership and teaching, evaluation systems, and professional development
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Virginia’s Work Preparing for Waiver Application
• College and Career Readiness Initiative (CCRI) and Performance Expectations
• Improvement of accountability assessments• Provisions for special groups of students
(V-tests)• Improvement of teacher evaluation systems• Development of student growth percentiles
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Common Core State Standards Implementation• States are beginning implementation• Assessment consortia
– Smarter Balanced Assessment Consortia (SBAC)– Partnership of Assessment of Readiness for College and
Careers (PARCC)
• Organizations are providing support– Bill McCallum’s Common Core Tools Page– Mathematics Assessment Project (high school only
cuurently)– Inside Mathematics
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Mathematics Performance Expectations
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Mathematics Capstone Course• Fall 2011 pilots – Frederick, Harrisonburg City,
Loudoun, and Northumberland (11 high schools total)• Spring 2012 pilots – Buchanan, Carroll, Fauquier,
Mecklenberg, Middlesex, Newport News, Portsmouth, Waynesboro, York
• Instructional Unit Resources (MSP Continuation Grant)– UVA https://sites.google.com/site/mathematicscapstonecourseunits/home
– Radford https://sites.google.com/site/resourcesformathcapstonecourse/home
• Testimonial from Northumberland
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Mathematics SOL Institutes
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Mathematics SOL Institutes 2009-2011
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Mathematics SOL Institutes 2009-2011
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2011 Mathematics SOL Institutes – Focus• Five goals – for students to
– become mathematical problem solvers that– communicate mathematically; – reason mathematically;– make mathematical connections; and– use mathematical representations to model
and interpret practical situations
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Process Standards
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VIRGINIA (Process Goals)
NCTM (Process Standards)
CCSS (Mathematical Practices)
Mathematical Problem Solving
Problem Solving 1) Make sense of problems and persevere in solving them.
Mathematical Communication
Communication 3) Construct viable and critique the reasoning of others
Mathematical Reasoning Reasoning and Proof 2) Reason abstractly and quantitatively
Mathematical Connections Connections 7) Look for and make use of structure8) Look for and express regularity in repeated reasoning
Mathematical Representations
Representations 4) Model with mathematics
5) Use appropriate tools strategically
6) Attend to precision
Presidential Award for Excellence in Mathematics and Science Teaching (PAEMST)
• Nominations are open for teachers in grades Kindergarten through 6
• Nominate an excellent teacher that deserves recognition
• 5+ years of experience• Supt’s Memo #292-11 announces the opening
of nominations (October 14, 2011)• http://www.paemst.org
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Textbook Review – Complete!• The Virginia Board of Education approved the
list of textbooks for K-12 mathematics instruction.
• Local school boards may adopt textbooks from off of this list.
• Substitutions requests can be requested by publishers (newer editions with few changes)
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ESS Sample Lesson Plans – Coming Very Soon!
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VDOE Resources
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VDOE Resources - continued
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VDOE Instructional Resources• Technical Assistance Documents
– Algebra I.9 (z-scores, standard deviation, mean absolute deviation)
– Algebra II.11 (normal distributions)• Mathematics Institutes Resources
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Instructional Support Videos – Coming Soon
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Changes in the Standards of Learning and the Impact
on Instruction and Assessment
Standard Setting and Cut Scores• EOC Assessments – November 2011• 3-8 Assessments – February 2012• Committees are currently being selected• Recommendations of cut scores will be made
to the Board of Education early next year
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Look for changes in:
• Number of reporting categories
• Number of items in reporting categories
• Indication of SOL assessed without a calculator (grades 4, 5, 6, and 7)
• Number of total items– Grade 3 will now have 40 live items– Geometry will now have 50 live items
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New SOL Blueprints
Formula Sheets• Formula sheets that correspond to the 2009
Standards for grades 6-8 and EOC are currently available on the VDOE2011-2012 Ancillary Test Materials webpage
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Testing changes - technical• Use of color• Emphasis words
– NOT and EXCEPT will be the only emphasis words used
– No longer in italics• Closest • Equal• Best
– No emphasis words will be found on the grade 3 assessment
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Technology Enhanced Items (TEI) about 15%
Format of Questions:• Fill in the blank• Drag and drop• Hot-spots: Select one or more answer
options, placing points on coordinate planes• Creation of graphs
New tools in TestNav 7
• Pencil• Notepad (sticks w/ item)• Dot tool• New compass• Straight edge tool
– Line with no caps– Line segments (with caps)
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NOTE: no tools other than the arrow can select answers
Testing Schedule• Fall 2011 Test Administration
– 6-8 SOL tests based on 2001 SOL– EOC SOL tests based on 2009 SOL
• Spring 2012 Test Administration– All SOL test items aligned to 2009 SOL– Grades 3-5 online SOL tests will have TEI field test
items
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Practice SOL Items• It is essential that students have experiences with the
Practice SOL Items prior to testing.• Use of the Practice Item Guides is STRONGLY
recommended.• Practice Item Guides provide help with
– Installation and navigation help– Practice with use of tools– Information specific to particular tests
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Practice SOL Items• Practice SOL Items will be updated to include
additional items early next year• Construction ePAT for EOC Geometry• REMEMBER: ePATs are a concentration of examples
showing increased rigor, technology enhanced items, and how new content may be tested.
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Assessments – Then and Now
33
Assessments – Then and Now
34 Grade 3
OLD
NEW
Assessments – Then and Now
35
OLD
Grade 3
NEW
Assessments – Then and Now
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OLD
Grade 4
NEW
Assessments – Then and Now
37
OLD
Grade 5
NEW
Assessments – Then and Now
38 Grade 7
OLD
NEW
Assessments – Then and Now
39 Grade 7
Assessments – Then and Now
40 Algebra 1
Assessments – Then and Now
41
OLD
Algebra 1
NEW
Assessments – Then and Now
42
Geometry
Assessments – Then and Now
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Geometry
OLD
NEW
Assessments – Then and Now
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New Content - Geometry
Assessments – Then and Now
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New Content - Algebra II
How will the changes in the SOL and assessments impact your instruction or assessments?
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Assessment – All Levels• Increased focus on multistep and applied
(“practical” or “real world”) problems• Testing the converse of a standard• Increased emphasis on models and multiple
representations
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Odds and Ends – Grade 3-5 • Increased emphasis on multistep and applied
problems• Probability can be represented in many ways• Increased emphasis on models and multiple
representations (number lines, fraction models, operations with fractions)
• Prior knowledge from earlier grade levels
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Odds and Ends – Grade 6-8 • Increased emphasis on multistep and applied
problems• Probability can be represented in many ways• Increased emphasis on models and multiple
representations (operations with fractions, integers, number lines)
• Prior knowledge from earlier grade levels
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Odds and Ends – Algebra I and Algebra II• Use of notation
– { } empty set, – set notation (Algebra I and II) vs. interval (Math Analysis) – x: or x| (show both to students)
• Students moving from the Grade 7 SOL course to Algebra I directly – what’s missing?– Scatterplots– Solving multistep equations– Prior instruction on box-and-whisker plots
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3 x
Odds and Ends – Algebra I and Algebra II• The word “prime” when talking about
functions that do not have real zeros• Solving linear-quadratic and quadratic-
quadratic systems (no conics)• Factoring
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Factoring – Algebra I or II?• Rational Roots
• Irrational Roots
• 2-variable
• Imaginary 52
1522 xx
1532 xx
22 yx 22 164 yx 22 432 yxyx
Odds and Ends - Geometry• Intermediate answers in multistep problems
may be an answer choice• New increased emphasis on proof, including 2-
column proofs• Logical arguments and precision• Equations of circles – could be given many
combinations of information• Increased complexity of diagrams
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Odds and Ends - Geometry• Increased emphasis on coordinate geometry• Coordinate geometry could include
combinations of transformations• Notation: be careful not to use classroom-
specific notation like “CPCF” or “CPCTC”• Constructions
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