textbook commission meeting - dpi.state.nc.us · • cluster headings used as organizational tool...
TRANSCRIPT
Textbook Commission MeetingApril 17, 2018
K-8 Mathematics Criteria Training
Beverly G. Vance, Section Chief
K-12 Mathematics/Science
Standards, Curriculum &
Instruction Division
Beverly G. Vance, Section Chief
K-12 Mathematics/Science
Standards, Curriculum & Instruction Division
• Back-story CCSS adopted
2010 and implemented through 2018
#1
• New Standards Adopted June,
2017 and implemented 2018 - 2019
#2 Criteria Sheets
• Content
• Pedagogy
• Accessibility
#3
Textbook Commission Meeting:
K-8 Mathematics Criteria Training
• Back-story CCSS adopted
2010 and implemented through 2018
#1
• New Standards Adopted June,
2017 and implemented 2018
- 2019
#2 Criteria Sheets
• Content
• Pedagogy
• Accessibility
#3
1. Back-story
Instructional
CoachesCurriculum
DirectorsAdministrators
Teachers Higher Ed Accountability
Staff
EC & EL
Curriculum
Staff
School
Readiness
Staff
External
Business
Stakeholders
Mathematics Writing Team
• Back-story CCSS adopted
2010 and implemented through 2018
#1
• New Standards Adopted June,
2017 and implemented 2018 - 2019
#2
Criteria Sheets
• Content
• Pedagogy
• Accessibility
#3
Textbook Commission Meeting:
K-8 Mathematics Criteria Training
2. New Standards: General Changes
• Bullets used to rewrite standards with multiple parts to make expectations clear and concise
• Language added for clarification
• Examples removed and placed in instructional support documents
• Footnotes placed in the standards or instructional support documents
• Standards combined or separated, as needed, to achieve clarity
• Cluster headings used as organizational tool and no longer necessary to interpret the standard
• Back-story CCSS adopted
2010 and implemented through 2018
#1
• New Standards Adopted June,
2017 and implemented 2018 - 2019
#2
Criteria Sheets
I. Content
II.Pedagogy
III.Accessibility
#3
Textbook Commission Meeting:
K-8 Mathematics Criteria Training
Standards Documents
• 2017 Standards Documents
• Standards Comparisons
• Major Revisions
• Under Development - Unpacking
K-2Counting, Reading and Writing Numbers
• The purpose of the counting standards
(NC.K.CC.1 and NC.1.NBT.1) is for students
to rote count to investigate patterns in the
number system.
• The purpose of the reading and writing
number standards (NC.K.CC.3, NC.1.NBT.7,
NC.2.NBT.3) is for students to apply their
place value understanding to read and write
numbers.
KindergartenClarifying Standards:
• NC.K.CC.4 State the number of objects in a group, of up to 5 objects, without counting the objects (perceptual subitizing).• Apprehension of numerosity without using other
mathematical processes (e.g., counting)
• Supports cardinality
• NC.K.OA.6 Recognize and combine groups with totals up to 5 (conceptual subitizing).• Apprehension of numerosity through part-whole
relationships (one three and one three form a six on a domino)
• Supports addition and subtraction
First Grade
New limitation:
• NC.1.OA.1 Comparison Problem Types
New Standard:
• NC.1.MD.5 Identify quarters, dimes, and
nickels and relate their values to pennies.
5 pennies = 1 nickel
10 pennies = 1 dime
25 pennies = 1 quarter
Second GradeNew limitation:
• Comparison Problem Types
Concept removed:
• Line Plots
Combining standards:
• 2.G.2 was integrated into NC.2.OA.4
• Students use rectangular arrays to work with
repeated addition.
• Students also explore arrays as rectangles
partitioned into rows and columns
2 2 2 2 ?+++ =
3-5Change From Rounding to Estimation
Strategies“Use estimation strategies to assess
reasonableness of answers.”
• Rounding is one of several estimation strategies.
• This change of wording was done to shift the focus
from the memorization of rounding rules to
understanding reasonableness of answers.
• Context of the situation should determine the
estimation strategy used.
Third Grade
Limitations added:
NC.3.OA.8
• Two-Step word problems limited to addition,
subtraction, and multiplication
Concepts removed:
• Metric measurement
• Line plots
• Area of rectilinear figures
Fourth Grade
Limitations added:
• Factors
• Range of numbers for place value and place value operations
Concepts removed:
• Customary measurement removed and focus placed on the metric system (NC.4.MD.1) to align and support place value understanding with decimals (NC.4.NF.6)
• Fractional values on a line plot
Fifth GradeLimitations added:
• Fraction denominators
• Multiplication of fractions (one-step problems)
• Measurement conversions with a conversion chart
• Dimensions of combined rectangular prisms
Concepts removed:
• Brackets and braces
• Exponents to denote powers of 10 (moved to 6th
grade)
• Line plots
Concepts added:
• Division models
• Line graphs
6-8
Building Coherent Connections
• Developing a common language around rates,
scale factor and unit ratio (NC.6.RP.2, NC.7.RP.3)
• Using models and reasoning to build understanding
(NC.6.NS.1, NC.6.NS.4, NC.6.NS.9, NC.8.G.9)
• Closing gaps in the learning progressions
(NC.7.RP.2a, NC.8.EE.7)
• Allowing more time for development of advanced
mathematical concepts (NC.6.NS.9, NC.6.SP.3,
NC.7.SP.3a)
Developing a Common Language
NC.6.RP.2 Understand that ratios can be expressed as
equivalent unit ratios by finding and interpreting both unit ratios
in context.
• Placing the focus on unit ratios instead of unit rates.
For example: In the ratio of 50 dollar for 10 hours of work,
the unit ratios are 1 dollar for 1/5 hour of work and 5 dollars
for 1 hour of work.
NC.7.RP.3 Use scale factors and unit rates in proportional
relationships to solve ratio and percent problems.
• Using the terms scale factor and rates to describe the
multiplicative relationships in ratios and proportions.
Building Understanding
NC.6.NS.1 Use visual models and common denominators to: …division of fractions .
• Student develop the use of common denominators to divide fractions. This aligns to quotative division problems -how many ___ are in ___.
NC.6.NS.4 Understand and use prime factorization and the relationships between factors to…Find the least common multiple of two whole numbers less than or equal to 12 to add and subtract fractions with unlike denominators.
• In 5th grade, students only add and subtract fractions in related families using models. In 6th grade, students find the common denominator using the LCM to rewrite fractions to add and subtract.
Building Understanding
New Standard
NC.6.NS.9 Understand additive inverses when adding and
subtracting integers.
• Describe situations in which opposite quantities combine to
make 0.
• Understand as the number located a distance q from p, in the
positive or negative direction depending on the sign of q. Show
that a number and its additive inverse create a zero pair.
• Understand subtraction of integers as adding the additive
inverse, Show that the distance between two integers on the
number line is the absolute value of their difference.
• Use models to add and subtract integers from -20 to 20 and
describe real-world contexts using sums and differences.
Learning Gaps
NC.7.RP.2a
• Added proportions in different representations added from (8.EE.5-removed) to fill the gap between comparing ratios (NC.6.RP.3) and linear functions (NC.8.F.2)
NC.8.EE.7
• Added solving multi-step inequalities with variables on both sides to bridge the gap between inequalities in 7th grade (NC.7.EE.4) and NC Math 1 (NC.M1.A-REI.3)
Developing Mathematical Reasoning
NC.6.NS.9
• Added integers to 6th grade with limitations (-20
to 20, using models)
NC.6.SP.3, NC.7.SP.3a
• Removed the calculation of MAD (NC.6.SP.3)
from 6th grade and using MAD to make
comparative inferences in 7th grade
(NC.7.SP.3)
From Modeling to Algorithms
ConceptBuilding Understanding
with ModelsAchieving Proficiency
with Algorithm
Addition and Subtraction of Whole Numbers
Grades K, 1, and 2 Grade 4
Multiplication of Whole Numbers Grades 3 and 4 Grade 5
Division of Whole Numbers and Decimals
Grades 4 and 5 Grade 6
Addition and Subtraction of Fractions
Grades 4 and 5 Grade 6
Multiplication of Fractions Grades 4 and 5 Grade 6
Division of Fractions Grades 5 and 6 Grade 7
Addition and Subtraction of Integers
Grade 6 Grade 7
What do we look for as
Elements of Effective
Mathematics Instruction?
• Motivation
• Eliciting students’ prior knowledge
• Intellectual engagement
• Early use of Modeling and moves to
Algorithms
• Reasoning and Sense-making via the
Standards for Mathematical Practices
TextbookSystematically
organized &
Comprehensive
Hardbound / softbound books
Activity-oriented programs
Classroom kits
Technology based programs
NC Digital Learning Plan
• Standards
• Digital learning
• Personalization
• Interactivity
• Online resources
• Age appropriateness
• Accessibility
Textbook
alignment
considerations
Definition of Textbook /
Instructional Materials
Includes Digital ContentDigital Instructional Materials Acquisition Policies for States. SETDA. February 2018. www.setda.org.
State Statute
Implementation of
Digital Instructional Materials
Digital Instructional Materials Acquisition Policies for States. SETDA. February 2018. www.setda.org.
Research
• State Instructional Materials Review Association
• State Educational Technology Directors Association
• Digital Materials Acquisition Policies for States
• National Center on Accessible Educational Materials
• Universal Design for Learning
• Consortium for School Networking
• Web Content Accessibility Guidelines
• NC Digital Learning Resources Rubric
Criteria Sheet – Current Structure
• Content area sheet
– Content-specific criteria
– General criteria
• Additional criteria sheets
– English Learners
– Exceptional Children
Criteria Sheet – Revised Structure
1
Instructional Materials Review Criteria Sheet
INSTRUCTIONAL MATERIALS TITLE ______________________________ Bid No. ______
PUBLISHER___________________________________COPYRIGHT____________________
AUTHOR(S)_________________________________________ISBN_____________________ ADVISOR____________________________________________________________________
TEXTBOOK COMMISSION MEMBER _____________MEMBER’S SBE DISTRICT_______
Please explain your responses to the below in the space provide. Be sure to cite specific page numbers,
textual references as well as specific standards. Use additional sheets as necessary.
CONTENT
YES NO Alignment to standards
· Materials present main concepts that support a minimum of 80% of the
grade-level, proficiency level, and/or course expectations in the NCSCOS. · Content area specific criteria
Structure and organization
· User navigation of resources is easy to learn
· Format is visually appealing and not distracting from content · Content structure is logical
· Content is presented with sufficient depth and breadth to adequately address grade-level, proficiency level, and/or course expectations.
· Key concepts, skills and vocabulary are identified, developed, reviewed and reinforced · Features of resources are purposeful and enhance learning
· Content includes necessary supports and guides, such as content navigation, dictionary/thesaurus, related references, etc. · Digital content can be accessed on various devices and internet browsers
Accuracy
· Content is free of errors
· Use of correct grammar and spelling
· Does not contain outdated material
· Content is presented in a factual and objective manner, without bias
Documentation for Part II – Specific Criteria (Use extra sheets, if necessary.)
• Content
• Pedagogy
• Accessibility
Technology should meet all criteria for
accuracy, appropriateness, and scope.
Format is easy to navigate, visually appealing
and not distracting from content.
Teacher materials should also meet
the criteria of the teacher resources.
If student access is allowed, a
Save/Record feature should be included.
Print resources are available or may be
converted to specialized formats for accessibility.
1
Digital content can be
accessed on various devices
and Internet browsers.
Digital resources are accessible.
2
The technology resource design
contains motivational elements
to engage students,
appropriate visual and auditory
elements, and provides
an intuitive user interface.
4
Exceptional Children (EC)
Considerations
Beverly [email protected]
Educational ConsultantExceptional Children Division
North Carolina Department of Public Instruction
EC IDEA Eligibility Categories
• Autism Spectrum Disorders
• Deaf-Blind
• Deaf & Hard of Hearing
• Emotional Disabilities
• Intellectual Disabilities
• Significant Cognitive Disabilities
• Specific Learning Disabilities
• Speech-Language Impairments
• Traumatic Brain Injury
• Visual Impairments(IDEA-Individuals with Disabilities Education Act)
EC Requirements
• Federal policy mandates that Students
With Disabilities (SWD) receive
instruction with their non disabled peers
to the fullest extent possible; 99% of EC
students are instructed in and assessed
on the same standards as their grade
level peers and therefore require access
to grade level textbooks.
EC Requirements
• Students with the most significant
cognitive disabilities or 1% of the EC
student population are instructed in and
assessed on modified grade level
standards; they also require access to
grade level textbooks.
EC Requirements
• Students may require instructional
accommodations to fully participate in
the general education setting;
considerations for accommodations
must be based on the individual needs
of each student and documented in the
student’s Individualized Education
Program (IEP).
Universal Design for Learning
Questions to Consider for all students:
Do the textbooks and materials provide for multiple means
of presentation, engagement, and representation?
Are there suggestions for ways to remediate, enhance,
reinforce?
Language Access
Textbooks should:
• Include a variety of linguistic supports
• Focus on key vocabulary and language
functions
• Provide opportunities for the use of visuals
and technology
• Promote building background knowledge
• Promote oral language development
associated with the content areas.
Content Access &
AccommodationsTextbooks should support the use of
accommodations to enhance content knowledge
through the use of:
• Manipulatives and hands-on materials
• Modeling
• Graphic Organizers/Advance Organizers
• Technology
• Specially Designed Instruction
• Differentiated Instruction
• Authentic Assessment Tools
• Alternate formats (easily adaptable to meet the needs of a
variety of disability areas such as vision, hearing, and cognitive
disabilities)
Access and Accessibility Tools
Textbooks should support instructional strategies
that promote:
• Activating and bridging prior knowledge and/or
experience
• Access to authentic texts
• Metacognitive development
• Higher order thinking skills
• Contextualization
• Building schema to enhance understanding
• Linguistic modality integration (listening, speaking,
reading, and writing)
Differentiation
Textbooks should support differentiation for all
learners in the following areas:
• Content: Knowledge, skills students are learning
• Process: Vary the learning activities: flexible
grouping, graphic organizers, diagrams, charts, maps
• Product: Vary complexity of the assignment/product
• Environment: classroom setting, location, space,
materials
Sample EC Evaluation Criteria
• 11 items in a “yes” or
“no” format to be
considered for EC
during the textbook
selection process
• Space to document
specific support for the
“yes” or “no” responses
EC Evaluation Criteria
• Content
– Grade appropriate, varied cognitive levels,
abilities, and learning styles
– Relevant, linking to prior knowledge, active
student engagement
– Key concepts, skills, vocabulary are
identified, developed, reviewed, and
reinforced
EC Evaluation Criteria
• Materials– Include a variety of exercises, reviews, assessments,
performance tasks
– Provide opportunities for students to collect, organize,
interpret and evaluate information
– Include summary of content, instruction, and objectives,
supplemental or background information
– Include guides, such as contents, glossary, dictionary,
bibliography/footnotes, references, websites, literature links,
support agencies
– Include sufficient material, well organized, easy to use,
comprehensive, durable and reasonably sized
EC Evaluation Criteria
• Resources
– Should accommodate first year and veteran
teachers
• Text
– should contain appropriate font, color, spacing,
legibility, photos, graphics, and captioning
• Technology
– Student text and teacher resources should meet
criteria for accuracy, appropriateness, and scope
EC Resources
• EC Disability Resources
• Specially Designed Instruction
• UDL Webinar
EL Evaluation
for Mathematics
Ivanna M T Anderson
Xatli Stox
ESL wiki:
http://eldnces.ncdpi.wikispaces.net
English Language Development
(ELD) Standards
Language & Content
▪ Language proficiency involves the
language associated with the content
areas.
▪ Content knowledge reflects the
declarative (what) and procedural
knowledge (how) associated with the
content.
Standards
ELD
• Academic language
development
• Language-based
• Reflective of the
varying stages of
second language
acquisition
• Representative of
social and academic
language contexts
State Content
• Academic
achievement
• Content-based
• Reflective of
conceptual
development
• Representative of
the school’s
academic curriculum
English Language Development
Standards
Social & Instructional Language
Language of Language
Arts
Language of Mathematics
Language of Science
Language of Social
Studies
Academic Language
Standard 1 Standard 2 Standard 3 Standard 4 Standard 5
Language Access
• A variety of linguistic supports
• Focus on key vocabulary and language
functions
• Use of visuals and technology
• Building background knowledge
• Promotion of oral language development
• Native language support (when possible)
• And more…
Content Access
• Use of realia, manipulatives, and hands-on
materials
• Graphic Organizers/Advance Organizers
• Use of Technology
• Differentiated Instruction
• Authentic Assessment Tools
• And more…
Scaffolding: Accessibility Tools• Modeling
• Activating and bridging prior knowledge
and/or experience
• Access to authentic texts
• Metacognitive development
• Higher order thinking skills
• Contextualization
• Building schema
• Linguistic modality integration (listening,
speaking, reading, and writing)
• And more…
Socio-Cultural Contexts
• Register
• Genre/Text type
• Topic
• Task/Situation
• Participants’ identities and social roles
Sample EL Evaluation Form
12 Items to rate
“yes” or “no”
for meeting the
criteria.
Support for each
response
considering the
linguistic needs of
ELs
Item Support
• Keeping in mind the linguistic needs of
EL students and their teachers, please
give specifics to support both the
positive and negative responses to the
above. (Use additional sheets as
needed)
Evaluation Items
1. Content provides grade appropriate, yet
varied linguistic levels, abilities, and learning
styles.
2. Content is relevant, links to prior knowledge,
builds background knowledge, and promotes
active student engagement.
3. Materials provide opportunities for
interaction, such as, a variety of exercises,
reviews, assessments, and performance
tasks.
Evaluation Items (cont.)
4. Materials provide opportunities for
students to collect, organize, interpret,
and evaluate information critically and
creatively in a variety of formats.
5. Text and layout is age/proficiency/grade-
level appropriate, including font, color,
spacing legibility, photos, graphics, and
captioning.
6. Material includes necessary guides such
as table of contents, glossary (e.g.,
English & Spanish), index, sidebars,
atlas, dictionary/thesaurus,
bibliography/footnotes, see and see also
references, web sites, literature links, and
support agencies, etc.
7. Key concepts, skills, and vocabulary are
identified, developed, reviewed, and
reinforced.
Evaluation Items (cont.)
8. Materials provide adequate teacher
resources, which include suggestions for
remediation, acceleration, extension of
learning, integration, feedback, and
review.
9. Materials include a summary of contents,
instruction and/or behavioral objectives,
supplemental or background information,
and answer keys/rubrics.
Evaluation Items (cont.)
10.Materials are well organized, easy to use,
comprehensive, durable and reasonably
sized.
11.Resources accommodate the needs of
beginning through veteran teachers.
12.Technology is easy to navigate, visually
appealing, and includes a Save/Record
feature, if applicable.
Evaluation Items (cont.)
Resources
• NC DPI ELD Wikispace
• World-Class Instructional Design and
Assessment (WIDA)
• Ivanna M T Anderson
• Xatli Stox