SlideShare a Scribd company logo
Standards-Based Assessment (SBA)
in Mathematics
Carlo Magno, PhD
crlmgn@yahoo.com
Advance Organizer
• What is SBA?
• How do we make assessment based
on Standards?
• Why assess the standards?
What is SBA?
On Practice:
• The practice involves comparing each student’s performance
to academic standards that are developed in the national or
international setting.
• More importantly, the process involves communicating goals
that the school systems, schools, teachers and students need
to achieve, providing targets for teaching and learning, and
shaping the performance of teachers and students.
On Assessment: [Magno, C. (2015). On SBA. SBA Journal, 3, 2-3.]
•The SBA model requires that assessment practices to be closely
aligned with the required competencies that students need to
learn.
•The general intention is to focus more on the learning of
competencies of every student.
Examples of Curricular Standards
DepEd Curriculum Guide –
Standards indicated in the
form of learning
competencies
www.deped..gov.ph
McREL International
Standards and benchmarks
http://www2.mcrel.org/compendi
um/browse.asp
Academic Benchmarks http://academicbenchmarks.com/
Program for International
Student Assessment
www.oecd.org
Education World http://www.educationworld.com/s
tandards/
How do we make assessment based on SBA?
Standards
(Competencies)
What do you want to
measure?
Serves as Content
Domains of the
measure
How do you Prepare
the assessment?
- Indicated it the table
of specifications
How do you construct
the assessment?
-Constructive alignment
-Determines the kind of
task whether written or
performance-based
Can the student perform
the task?
-scoring and
interpretation based on
the competency
How do you use
assessment to help
students learn?
- Feedback (Formative
Assessment
What do you want to measure?
• Define content domains
• Break down the content domains
into specific competencies
• Use curricular standards as the
basis for the content domains and
specific competencies
Mathematics Standards Grade 6 (4th Quarter)
How do you prepare the assessment?
• TOS for Written Works
Rem Und App Ana Eval Crea
Constructs a pie graph given a
set of data

Interpret data presented in a
pie chart

Solves routine and non-
routine problems using data
presented in a pie chart

How you construct the assessment
protocol?
• Decide on the task!
Paper
and
Pen
Performance
-based Task
Collects data on one or two variables using any
source

Constructs a pie graph based on a given set of data  
Interprets data given on a pie graph 
Solves routine and routine problems using data
presented in the pie graph

Creates problems that can be answered using
information presented in a pie graph
 
Constructive Alignment
• Competency: Solves routine and routine
problems using data presented in the pie
graph.
• Item: (A pie chart showing students budget of
allowance for one week)
Look at the percent of expenses shown in the
pie chart. How much more did you spend on
food than school supplies in percent? How
much is the difference in peso amount?
Constructive alignment
• Competency: Recognize area as additive:
Find areas of rectilinear figures by
decomposing them into non-overlapping
rectangles and adding the areas of the
non-overlapping parts, applying this
technique to solve real world problems.
• Task: What is the total floor area of the
apartment (including the terrace and the
walls)? Show the measurement size of
each room, calculate the area of each
one and add all the areas together.
1 cm = 1 meter
Constructive alignment
• Grade 1 Competency: Reads and writes money in
symbols and in words through PhP100.
• Task: Which of the following is equivalent to PhP
100?
a.
b.
Aligned or not aligned?
Constructive alignment
• Competency:
– Collects data on one or two variables using any source
– Constructs a pie graph based on a given set of data
• Output: A pie graph in a powerpoint presentation showing the
percentage of students preferred restaurants with a four
sentence paragraph interpretation.
• Task: In a piece of paper ask your classmates to check their
favorite restaurant. If their favorite is not in the option, they
can write it in the options (others). Count the preferences per
restaurant and convert it into percentage. Plot the percentage
into a pie chart. Interpret the pie chart using the following
guide questions… Put the Pie chart and interpretations in a
powerpoint presentation to be shown in class.
• Criteria: accuracy of converting frequencies to percentage,
accuracy of the size of the parts of the pie graph, accuracy of
interpretation.
Can the student perform the task?
• Global score or
item/competency score?
• Class average score of individual
score?
• Are my items valid and reliable?
Can the student
perform the task?
Al: Algebra
G: Geometry
C: Calculus
T: Trigonometry
S: statistics
ProficientlevelBeginnerLevel
EasyitemsDifficultitems
Numeracy Assessment in L2 Numeracy Assessment in L1
1 Plc_Vl
2 Oper
3 Decim
4 Fract
5 Strat
6 Geom
Ave. Item
Difficulty
Ave. student
ability
Ave. Item
Difficulty
Ave. student
ability
Sample ICC Numeracy Gr 5-L2
Item 1.1 MNSQ = .77 (bad fit) Item 3.3 MNSQ = .96 (good fit)
Using Math Assessment Results
Formative Assessment: Feedback and Corrective
instruction
Who
can do
this?
Who needs
help on this?
Collects data on one or two variables using any
source
Constructs a pie graph based on a given set of data
Interprets data given on a pie graph
Solves routine and routine problems using data
presented in the pie graph
Creates problems that can be answered using
information presented in a pie graph
Delivering Formative Assessment
Make learners
aware of the
learning goal
Determine
current status
of students
Move students
closer to the
goals
Why do we need to assess
mathematics standards?
• Basis on what to assess
• To make sure that
everyone delivers
quality work (21st
century skills)
• To produce quality
students
• To deliver quality
programs
20

More Related Content

PPTX
Assessment in mathematics
PPTX
Tools for assessment in mathematics, observation, rating scale, checklist and...
PPTX
Project-based and Problem-based learning
PPTX
Standards- based assessment based on K-12 Curriculum
PPT
Assessment strategies
PPTX
Standards based assessment
PPTX
What is assessment ‫‬
PPTX
Developing performance assessments
Assessment in mathematics
Tools for assessment in mathematics, observation, rating scale, checklist and...
Project-based and Problem-based learning
Standards- based assessment based on K-12 Curriculum
Assessment strategies
Standards based assessment
What is assessment ‫‬
Developing performance assessments

What's hot (20)

PDF
Objective Type Tests: Completion and Short - Answer Items
PPTX
Modern Geometry Topics
PDF
Assessment in Mathematics
PPTX
National Competency-Based Teacher Standards (NCBTS)
PPTX
Educational Evaluation
PPT
Assessment of Student Learning 2: Rubrics
PPTX
Authentic assessment
PPTX
Instructional materials (1)
PDF
Classroom Strategies for the Support of Gifted and Talent
PPTX
The outcomes assessment phases in the instructional cycle
PDF
Using assessment to inform instructional decisions
PPTX
Authentic assessment
PPTX
Educ 4
PDF
Principles and strategies of teaching part 3
DOCX
Detailed Lesson Plan on Measures of Variability of Grouped and Ungrouped Data
PPTX
Principles of high quality assessment
PPTX
Concept of Classroom Assessment
PPTX
Portfolio assessment
PPTX
Stakeholders in Curriculum Implementation
PPT
Authentic Assessment
Objective Type Tests: Completion and Short - Answer Items
Modern Geometry Topics
Assessment in Mathematics
National Competency-Based Teacher Standards (NCBTS)
Educational Evaluation
Assessment of Student Learning 2: Rubrics
Authentic assessment
Instructional materials (1)
Classroom Strategies for the Support of Gifted and Talent
The outcomes assessment phases in the instructional cycle
Using assessment to inform instructional decisions
Authentic assessment
Educ 4
Principles and strategies of teaching part 3
Detailed Lesson Plan on Measures of Variability of Grouped and Ungrouped Data
Principles of high quality assessment
Concept of Classroom Assessment
Portfolio assessment
Stakeholders in Curriculum Implementation
Authentic Assessment
Ad

Viewers also liked (20)

PPTX
The role of research in graduate education ASEAN 2015
PPTX
Test interpretation and report writing
PDF
Contemporary research practices
PDF
Action Research
PPTX
Assessment Knowledge, Process, Understanding, Process/Product
PPTX
Teaching self-regulation
PDF
Assessing learning objectives
PPTX
Formative assessment
PPTX
Developing aptitude test
PPTX
Kpup how far have we gone
PDF
Accountability in developing assessment tools
PDF
Consultancy work
PPT
Developing Self-regulated Learning
PPTX
Root Cause Analysis
PDF
Developing a teacher performance appraisal
PPTX
Assessing Self-regualtion
PPTX
Assessment in an Outcomes-Based Education
PDF
Teaching English in the K to 12
PDF
Kpup assessment
PPTX
Portfolio assessment
The role of research in graduate education ASEAN 2015
Test interpretation and report writing
Contemporary research practices
Action Research
Assessment Knowledge, Process, Understanding, Process/Product
Teaching self-regulation
Assessing learning objectives
Formative assessment
Developing aptitude test
Kpup how far have we gone
Accountability in developing assessment tools
Consultancy work
Developing Self-regulated Learning
Root Cause Analysis
Developing a teacher performance appraisal
Assessing Self-regualtion
Assessment in an Outcomes-Based Education
Teaching English in the K to 12
Kpup assessment
Portfolio assessment
Ad

Similar to Standards-based assessment in math (20)

PPTX
Math kindergarten training
PPT
Content, Process, And Product
PPT
Quadratic functions power point
PPTX
Performance based assessment
PPTX
Performance based assessment
PPTX
Math grade 1 training
PPTX
Assessment Strategies Consistent with Curriculum Requirements..pptx
PPTX
Authentic Tasks
PPTX
HLPUSD
DOCX
Episode 8
PPT
Data-Driven Decision Making
PDF
Dick Carey Key
DOCX
Specific Forma.docx
PPTX
WSU new standards mean new baseline
PPTX
National Curriculum of Mathematics. for schools pptx
PPTX
Fac_Jury_Guide_Day1.pptx
PPT
Using Rubrics in the Classroom - Lynne Porter
PPTX
Mathematics Scope & Sequence for the Common Core State Standards
PPTX
Preparing Students for the Demands of a Freshman Year in College
PPT
Arte387 Ch6
Math kindergarten training
Content, Process, And Product
Quadratic functions power point
Performance based assessment
Performance based assessment
Math grade 1 training
Assessment Strategies Consistent with Curriculum Requirements..pptx
Authentic Tasks
HLPUSD
Episode 8
Data-Driven Decision Making
Dick Carey Key
Specific Forma.docx
WSU new standards mean new baseline
National Curriculum of Mathematics. for schools pptx
Fac_Jury_Guide_Day1.pptx
Using Rubrics in the Classroom - Lynne Porter
Mathematics Scope & Sequence for the Common Core State Standards
Preparing Students for the Demands of a Freshman Year in College
Arte387 Ch6

More from Carlo Magno (20)

PPTX
Intervetntions-based assessment - supevisors - private schools.pptx
PPTX
Assessment Using the SOLO Framework.pptx
PPTX
Social and Emotional Learning
PPTX
Educational assessment in the 4 ir
PPTX
The process of research mentoring
PPTX
Quality management services sustainability training
PPTX
Managing technology integration in schools
PPTX
Integrating technology in teaching
PPTX
Empowering educators on technology integration
PPTX
Designing an online lesson
PPTX
Curriculum integration
PPTX
Accountability in Developing Student Learning
PPTX
The Instructional leader: TOwards School Improvement
PPTX
Guiding your child on their career decision making
PPTX
Assessing Science Inquiry Skills
PPTX
Assessment in the Social Studies Curriculum
PPTX
Quantitative analysis in language research
PPTX
Integrating technology in teaching
PPTX
Hallmarks of textbook
PDF
managing the learner centered-classroom
Intervetntions-based assessment - supevisors - private schools.pptx
Assessment Using the SOLO Framework.pptx
Social and Emotional Learning
Educational assessment in the 4 ir
The process of research mentoring
Quality management services sustainability training
Managing technology integration in schools
Integrating technology in teaching
Empowering educators on technology integration
Designing an online lesson
Curriculum integration
Accountability in Developing Student Learning
The Instructional leader: TOwards School Improvement
Guiding your child on their career decision making
Assessing Science Inquiry Skills
Assessment in the Social Studies Curriculum
Quantitative analysis in language research
Integrating technology in teaching
Hallmarks of textbook
managing the learner centered-classroom

Recently uploaded (20)

PDF
Module 4: Burden of Disease Tutorial Slides S2 2025
PDF
LDMMIA Reiki Yoga Finals Review Spring Summer
PPTX
Lesson notes of climatology university.
PDF
ChatGPT for Dummies - Pam Baker Ccesa007.pdf
PDF
grade 11-chemistry_fetena_net_5883.pdf teacher guide for all student
PDF
Supply Chain Operations Speaking Notes -ICLT Program
PDF
2.FourierTransform-ShortQuestionswithAnswers.pdf
PDF
RTP_AR_KS1_Tutor's Guide_English [FOR REPRODUCTION].pdf
PDF
Computing-Curriculum for Schools in Ghana
PDF
Trump Administration's workforce development strategy
PPTX
History, Philosophy and sociology of education (1).pptx
PDF
What if we spent less time fighting change, and more time building what’s rig...
PDF
Paper A Mock Exam 9_ Attempt review.pdf.
PDF
Black Hat USA 2025 - Micro ICS Summit - ICS/OT Threat Landscape
PPTX
Radiologic_Anatomy_of_the_Brachial_plexus [final].pptx
PDF
Yogi Goddess Pres Conference Studio Updates
PDF
A GUIDE TO GENETICS FOR UNDERGRADUATE MEDICAL STUDENTS
PPTX
PPT- ENG7_QUARTER1_LESSON1_WEEK1. IMAGERY -DESCRIPTIONS pptx.pptx
PDF
A systematic review of self-coping strategies used by university students to ...
PDF
STATICS OF THE RIGID BODIES Hibbelers.pdf
Module 4: Burden of Disease Tutorial Slides S2 2025
LDMMIA Reiki Yoga Finals Review Spring Summer
Lesson notes of climatology university.
ChatGPT for Dummies - Pam Baker Ccesa007.pdf
grade 11-chemistry_fetena_net_5883.pdf teacher guide for all student
Supply Chain Operations Speaking Notes -ICLT Program
2.FourierTransform-ShortQuestionswithAnswers.pdf
RTP_AR_KS1_Tutor's Guide_English [FOR REPRODUCTION].pdf
Computing-Curriculum for Schools in Ghana
Trump Administration's workforce development strategy
History, Philosophy and sociology of education (1).pptx
What if we spent less time fighting change, and more time building what’s rig...
Paper A Mock Exam 9_ Attempt review.pdf.
Black Hat USA 2025 - Micro ICS Summit - ICS/OT Threat Landscape
Radiologic_Anatomy_of_the_Brachial_plexus [final].pptx
Yogi Goddess Pres Conference Studio Updates
A GUIDE TO GENETICS FOR UNDERGRADUATE MEDICAL STUDENTS
PPT- ENG7_QUARTER1_LESSON1_WEEK1. IMAGERY -DESCRIPTIONS pptx.pptx
A systematic review of self-coping strategies used by university students to ...
STATICS OF THE RIGID BODIES Hibbelers.pdf

Standards-based assessment in math

  • 1. Standards-Based Assessment (SBA) in Mathematics Carlo Magno, PhD crlmgn@yahoo.com
  • 2. Advance Organizer • What is SBA? • How do we make assessment based on Standards? • Why assess the standards?
  • 3. What is SBA? On Practice: • The practice involves comparing each student’s performance to academic standards that are developed in the national or international setting. • More importantly, the process involves communicating goals that the school systems, schools, teachers and students need to achieve, providing targets for teaching and learning, and shaping the performance of teachers and students. On Assessment: [Magno, C. (2015). On SBA. SBA Journal, 3, 2-3.] •The SBA model requires that assessment practices to be closely aligned with the required competencies that students need to learn. •The general intention is to focus more on the learning of competencies of every student.
  • 4. Examples of Curricular Standards DepEd Curriculum Guide – Standards indicated in the form of learning competencies www.deped..gov.ph McREL International Standards and benchmarks http://www2.mcrel.org/compendi um/browse.asp Academic Benchmarks http://academicbenchmarks.com/ Program for International Student Assessment www.oecd.org Education World http://www.educationworld.com/s tandards/
  • 5. How do we make assessment based on SBA? Standards (Competencies) What do you want to measure? Serves as Content Domains of the measure How do you Prepare the assessment? - Indicated it the table of specifications How do you construct the assessment? -Constructive alignment -Determines the kind of task whether written or performance-based Can the student perform the task? -scoring and interpretation based on the competency How do you use assessment to help students learn? - Feedback (Formative Assessment
  • 6. What do you want to measure? • Define content domains • Break down the content domains into specific competencies • Use curricular standards as the basis for the content domains and specific competencies
  • 7. Mathematics Standards Grade 6 (4th Quarter)
  • 8. How do you prepare the assessment? • TOS for Written Works Rem Und App Ana Eval Crea Constructs a pie graph given a set of data  Interpret data presented in a pie chart  Solves routine and non- routine problems using data presented in a pie chart 
  • 9. How you construct the assessment protocol? • Decide on the task! Paper and Pen Performance -based Task Collects data on one or two variables using any source  Constructs a pie graph based on a given set of data   Interprets data given on a pie graph  Solves routine and routine problems using data presented in the pie graph  Creates problems that can be answered using information presented in a pie graph  
  • 10. Constructive Alignment • Competency: Solves routine and routine problems using data presented in the pie graph. • Item: (A pie chart showing students budget of allowance for one week) Look at the percent of expenses shown in the pie chart. How much more did you spend on food than school supplies in percent? How much is the difference in peso amount?
  • 11. Constructive alignment • Competency: Recognize area as additive: Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts, applying this technique to solve real world problems. • Task: What is the total floor area of the apartment (including the terrace and the walls)? Show the measurement size of each room, calculate the area of each one and add all the areas together. 1 cm = 1 meter
  • 12. Constructive alignment • Grade 1 Competency: Reads and writes money in symbols and in words through PhP100. • Task: Which of the following is equivalent to PhP 100? a. b. Aligned or not aligned?
  • 13. Constructive alignment • Competency: – Collects data on one or two variables using any source – Constructs a pie graph based on a given set of data • Output: A pie graph in a powerpoint presentation showing the percentage of students preferred restaurants with a four sentence paragraph interpretation. • Task: In a piece of paper ask your classmates to check their favorite restaurant. If their favorite is not in the option, they can write it in the options (others). Count the preferences per restaurant and convert it into percentage. Plot the percentage into a pie chart. Interpret the pie chart using the following guide questions… Put the Pie chart and interpretations in a powerpoint presentation to be shown in class. • Criteria: accuracy of converting frequencies to percentage, accuracy of the size of the parts of the pie graph, accuracy of interpretation.
  • 14. Can the student perform the task? • Global score or item/competency score? • Class average score of individual score? • Are my items valid and reliable?
  • 15. Can the student perform the task? Al: Algebra G: Geometry C: Calculus T: Trigonometry S: statistics ProficientlevelBeginnerLevel EasyitemsDifficultitems
  • 16. Numeracy Assessment in L2 Numeracy Assessment in L1 1 Plc_Vl 2 Oper 3 Decim 4 Fract 5 Strat 6 Geom Ave. Item Difficulty Ave. student ability Ave. Item Difficulty Ave. student ability
  • 17. Sample ICC Numeracy Gr 5-L2 Item 1.1 MNSQ = .77 (bad fit) Item 3.3 MNSQ = .96 (good fit)
  • 18. Using Math Assessment Results Formative Assessment: Feedback and Corrective instruction Who can do this? Who needs help on this? Collects data on one or two variables using any source Constructs a pie graph based on a given set of data Interprets data given on a pie graph Solves routine and routine problems using data presented in the pie graph Creates problems that can be answered using information presented in a pie graph
  • 19. Delivering Formative Assessment Make learners aware of the learning goal Determine current status of students Move students closer to the goals
  • 20. Why do we need to assess mathematics standards? • Basis on what to assess • To make sure that everyone delivers quality work (21st century skills) • To produce quality students • To deliver quality programs 20