The document outlines the grade 9 curriculum for mathematics in the Philippines. It includes the objectives to discuss the conceptual framework, familiarize students with curriculum guides (CG), teacher's guides (TG), and learner's materials (LM), and help students appreciate the curriculum's role in developing holistic learners. It describes classroom activities where students envision the ideal future math learner and analyze the curriculum materials. It also explains the key components of CGs, TGs, and LMs, including learning standards, competencies, lessons, and assessments. The overall goal is for students to understand and apply the mathematics curriculum to become engaged, critical thinkers.
Strategies in Teaching Mathematics -Principles of Teaching 2 (KMB)Kris Thel
Solving problems is a practical art, like swimming, or skiing, or playing the piano: you can learn it only by imitation and practice. . . . if you wish to learn swimming you have to go in the water, and if you wish to become a problem solver you have to solve problems.
- Mathematical Discovery George Polya
Strategies in Teaching Mathematics -Principles of Teaching 2 (KMB)Kris Thel
Solving problems is a practical art, like swimming, or skiing, or playing the piano: you can learn it only by imitation and practice. . . . if you wish to learn swimming you have to go in the water, and if you wish to become a problem solver you have to solve problems.
- Mathematical Discovery George Polya
Foundations of Mathematics Teaching and Learning (Philippine Context) Ryan Bernido
This presents the preliminary lessons in the course, Teaching Mathematics in the Intermediate Grades. It discusses the foundations of mathematics teaching and learning including the nature of mathematics, the five-point view of nature of mathematics, the principles of mathematics teaching and learning, and other relevant topics taken from various sources and were put together to grasp an understanding of the foundations of mathematics instruction; particularly in the context of the Philippine Mathematics Education.
Basic Concept in Assessment. There are four basic concept in assessment such as measurement, Evaluation, Assessment and also the Non-tests. It is being used as a guide to the teacher for them to be effective in their Assessment.
Connect with Maths Webinar presented by Professor Peter Sullivan: Six Principles of Effective Mathematics Teaching
There are many recommendations on how to teach mathematics but fewer about the teaching of mathematics’ classes with Indigenous students. This webinar will examine how six principles for effective mathematics teaching were adapted to advice for teachers of schools with high numbers of Indigenous students.
Foundations of Mathematics Teaching and Learning (Philippine Context) Ryan Bernido
This presents the preliminary lessons in the course, Teaching Mathematics in the Intermediate Grades. It discusses the foundations of mathematics teaching and learning including the nature of mathematics, the five-point view of nature of mathematics, the principles of mathematics teaching and learning, and other relevant topics taken from various sources and were put together to grasp an understanding of the foundations of mathematics instruction; particularly in the context of the Philippine Mathematics Education.
Basic Concept in Assessment. There are four basic concept in assessment such as measurement, Evaluation, Assessment and also the Non-tests. It is being used as a guide to the teacher for them to be effective in their Assessment.
Connect with Maths Webinar presented by Professor Peter Sullivan: Six Principles of Effective Mathematics Teaching
There are many recommendations on how to teach mathematics but fewer about the teaching of mathematics’ classes with Indigenous students. This webinar will examine how six principles for effective mathematics teaching were adapted to advice for teachers of schools with high numbers of Indigenous students.
Discusses the facets of Performance Assessment: Definition, advantages and disadvantages, types, process, guidelines and procedures and the types of rubrics
Course Outcomes state what a student, on successfully completing the course and earning a pass grade and the credit can perform/do/demonstrate with what he/she has learnt in the course. These are also referred as Learning Outcomes or Student Outcomes though NBA uses the term Course Outcomes (COs). Note that the emphasis is on using/applying the knowledge imparted/acquired by a successful student in the course.
competency based education veyr ingormative for all class trainger it ewiekkk help tem who can not make their own presentation ti wil ne berry useful ofr them . inaloslo used to do this i m so soryy for this wornd englishj it is very useful fo rall king or trainee oehwo are not able to make a presentaiton by them sjelsves it wiil hepl them to usnderstan how to dounload from the site for
The 5E model known as the Learning Cycle, developed in the 1960s by Aktin and Karplus for Science Curriculum Improvement Study (SCIS) program. In classic inquiry-based science instructional model had only three phases of instructions
Similar to Understanding and appreciating the cf, cg, lm and tg math (20)
9. Objectives
DEPARTMENT OF EDUCATION
1.1. discuss the subject area Conceptual Frameworkdiscuss the subject area Conceptual Framework
2.2. familiarize with the content of the CG, TG, andfamiliarize with the content of the CG, TG, and
LMLM
3.3. show appreciation of the curriculum inshow appreciation of the curriculum in
developing and producing a holistic Filipinodeveloping and producing a holistic Filipino
learner/childlearner/child
10. Activity 1 (Group Work)
DEPARTMENT OF EDUCATION
1. Draw a caricature of what you envision
Filipino Math learners should be ten years
from now.
2. Brainstorm as a group to come up with only
one vision and discuss how this can be
achieved.
3. Present the output to the class.
19. is the intellectually disciplined
process of actively and skillfully conceptualizing,
applying, analyzing, synthesizing, and/or
evaluating information gathered from or
generated by, observation, experience,
reflection, reasoning, or communication, as a
guide to belief and action.
is the intellectually disciplined
process of actively and skillfully conceptualizing,
applying, analyzing, synthesizing, and/or
evaluating information gathered from or
generated by, observation, experience,
reflection, reasoning, or communication, as a
guide to belief and action.
Twin Goals of Mathematics
DEPARTMENT OF EDUCATION
20. Twin Goals of Mathematics
is finding a way around a
difficulty, around an obstacle,
and finding a solution to a
problem that is unknown.
is finding a way around a
difficulty, around an obstacle,
and finding a solution to a
problem that is unknown.
DEPARTMENT OF EDUCATION
28. knowing and understanding
estimating, computing and solving
visualizing and modeling
representing and communicating
conjecturing, reasoning, proving
and decision-making
applying and connecting
DEPARTMENT OF EDUCATION
29. • Manipulative objects
• Measuring devices
• Calculators and computers
• Smartphones and tablet PCs
• Internet
DEPARTMENT OF EDUCATION
33. DEPARTMENT OF EDUCATION
Activity 2 (Group Work)
As a group, study the material assigned to you (CG, LM or
TG). Brainstorm to come up with output based on the following
template and report your output.
Material Elements
Description/Your general
understanding
34. DEPARTMENT OF EDUCATION
1. How did you find the activity? Why?
2. What can you say about the CG, TG and LM as
presented? What commonality did you find in
your answers?
3. How do you compare these materials to the
one/s you used previously?
4. How will these materials help you in
teaching the subject?
35. DEPARTMENT OF EDUCATION
6. What more do you need to address these
difficulties and be able to deliver the
curriculum effectively?
7. What insights did you gain from this
activity?
5. What difficulty do you foresee
in using these materials?
36. Features of the Curriculum Guide (CG)
DEPARTMENT OF EDUCATION
A. Conceptual Framework
• Description
• Goals
• Content Areas
• Skills and Processes
• Values and Attitudes
• Mathematical Tools
• Context
• Theories and Principles
B. Learning Standards
• Learning Area Standard
• Key Stage Standards
• Grade Level Standards
- Content/Strand
- Content Standards
- Performance Standards
- Learning Competencies
(with codes and available learning
materials)
Glossary
Code Book Legend
38. B. Learning Standards
DEPARTMENT OF EDUCATION
• Refer to How well the student must perform,
at what kinds of tasks, based on what content,
to be considered proficient or effective.
• Answer the question “How well must students
do their work?”
• Define what learning should be achieved.
39. Content Standard
DEPARTMENT OF EDUCATION
Defines what students are
expected to know, do and
understand
Answers “What students
know and be able to do?”
The learner demonstrates
understanding of key concepts
of quadratic equations,
inequalities and functions, and
rational algebraic equations.
40. Performance standard
DEPARTMENT OF EDUCATION
Defines what
students should
create, add value
to, transfer
Answers “How
well must students
do their work?”
The learner is able
to investigate thoroughly
mathematical relationships in various
situations, formulate real-life problems
involving quadratic equations, inequalities
and functions, and solve them
using a variety of strategies
41. Learning Competencies
DEPARTMENT OF EDUCATION
• Specific
statements of
knowledge,
process/skills
and attitude that
students are
expected to
demonstrate to
attain the
content standard
42. CODE BOOK LEGEND
Sample: M9AL-Ic-2
DEPARTMENT OF EDUCATION
LEGEND SAMPLE
First Entry
Learning Area and Strand/
Subject or Specialization
Mathematics
M9
Grade Level Grade 9
Uppercase Letter/s
Domain/Content/
Strand/ Topic
Algebra AL
-
Roman Numeral
*Zero if no specific quarter
Quarter First Quarter I
Lowercase Letter/s
*Put a hyphen (-) in between
letters to indicate more than a
specific week
Week Third Week c
-
Arabic Number Competency
2nd
competency for the third week:
•describes the relationship
between the coefficients and the
roots of a quadratic equation.
2
43. CG, LM, and TG
DEPARTMENT OF EDUCATION
Curriculum
Guide
Learner’s Material
(modular)
Teacher’s Guide
A.A. ConceptualConceptual
FrameworkFramework
B.B. LearningLearning
StandardsStandards
ContentContent
PerformancePerformance
LearningLearning
CompetenciesCompetencies
Learning StandardsLearning Standards
ContentContent
PerformancePerformance
LearningLearning
CompetenciesCompetencies
Objectives
Activities
Assessment
Defining Learning OutcomesDefining Learning Outcomes
Grade Level StandardGrade Level Standard
Content StandardContent Standard
Performance StandardPerformance Standard
Learning CompetenciesLearning Competencies
Objectives
Activities
Assessment
44. DEPARTMENT OF EDUCATION
Learner’s Material Teacher’s Guide
A. Learning Outcomes
Content Standard
Performance Standard
(Unpacking the Standards for
Understanding)
B. Planning for Assessment
Product/ Performance
Assessment Map
(Pre-Assessment, Formative,
Summative)
Assessment Matrix
(for Summative Test)
Parts of the LM and TG
45. DEPARTMENT OF EDUCATION
Learner’s Material Teacher’s Guide
Introduction
Lessons and CoverageLessons and Coverage
(Module Map)(Module Map)
C. Planning for Teaching-
Learning
Introduction
Objectives
Parts of the LM and TG
big picture of what is expected to be learned
clear directions and purpose of the module
define the enabling knowledge and
skills to develop the desired
competencies leading to
the attainment of CS and PS
46. DEPARTMENT OF EDUCATION
Parts of the LM and TG
Learner’s Material Teacher’s Guide
Pre-Assessment
Learning Goals and TargetsLearning Goals and Targets
Instructional ActivitiesInstructional Activities
What to KNOWWhat to KNOW
Pre-Assessment (Answer Key)
Learning Goals and TargetsLearning Goals and Targets
Instructional ActivitiesInstructional Activities
What to KNOWWhat to KNOW
may employ the paper and pencil test or alternative tools to find out
students’ knowledge, skills and understanding
activate prior knowledge of the learner
elicit responses to provocative and critical questions
identification and clarification of misconceptions
assessment of student’s knowledge
47. DEPARTMENT OF EDUCATION
Parts of the LM and TG
Learner’s Material Teacher’s Guide
What to PROCESSWhat to PROCESS
What to REFLECT andWhat to REFLECT and
UNDERSTANDUNDERSTAND
What to PROCESSWhat to PROCESS
What to REFLECT andWhat to REFLECT and
UNDERSTANDUNDERSTAND
activities requiring students to process/make sense of the information
assess student’s skills
questions that enable students to construct their own meanings/
understanding
additional activities and reading resources to enrich/broaden
their understanding
provocative or critical questions to draw learner’s core understanding
check student readiness (ASSESSMENT AS – question, checklist, etc.)
48. DEPARTMENT OF EDUCATION
Parts of the LM and TG
Learner’s Material Teacher’s Guide
What to TRANSFERWhat to TRANSFER
Summary/Synthesis/Summary/Synthesis/
GeneralizationGeneralization
What to TRANSFERWhat to TRANSFER
Summary/Synthesis/Summary/Synthesis/
GeneralizationGeneralization
overview of what is expected
opportunity to transfer the learning through product or performance
describe the tools for assessing the product/performance
based on real life situations
GRASPS with assessment criteria
provide a summary or synthesis of what has been learned from the
lesson/module
provide a linking/connecting statement of the lesson/module to the next
lesson/module
49. DEPARTMENT OF EDUCATION
Parts of the LM and TG
Learner’s Material Teacher’s Guide
Glossary of Terms
References and Website Links
Used in the Module
Post-Assessment
Glossary of Terms
References and Website Links
Used in the Module
a summative assessment tool/s that will
cover the entire module/lesson
key to correction shall be included in
the TG
51. The DepEd Vision
DEPARTMENT OF EDUCATION
We dream of Filipinos
who passionately love their country
and whose values and competencies
enable them to realize their full potential
and contribute meaningfully to building the
nation.
As a learner-centered public institution,
the Department of Education
continuously improves itself
to better serve its stakeholders.
Overall, the K to 12 program is a necessity given the need to:
Enhance the curriculum to improve mastery of basic competencies,
Ensure seamlessness of primary, secondary, and post-secondary education,
Improve teaching and learning outcomes through the use of enhanced pedagogies – such as spiral progression in Science and Math – and the rationalization of the medium of instruction in our schools, especially for Kindergarten and the early primary levels, and
Expand job opportunities for both graduates and school leavers alike by reducing the mismatch between acquired skills and available jobs, and provide a stronger foundation for post-secondary education and the world of work.
We want to produce holistically developed graduates with 21st century skills. We want to nurture lifelong learners who are better prepared for the rigours of post-secondary education and the world of work.
Overall, the K to 12 program is a necessity given the need to:
Enhance the curriculum to improve mastery of basic competencies,
Ensure seamlessness of primary, secondary, and post-secondary education,
Improve teaching and learning outcomes through the use of enhanced pedagogies – such as spiral progression in Science and Math – and the rationalization of the medium of instruction in our schools, especially for Kindergarten and the early primary levels, and
Expand job opportunities for both graduates and school leavers alike by reducing the mismatch between acquired skills and available jobs, and provide a stronger foundation for post-secondary education and the world of work.
We want to produce holistically developed graduates with 21st century skills. We want to nurture lifelong learners who are better prepared for the rigours of post-secondary education and the world of work.