RMA 2025

1. BRIDGING CONCEPTS WITH HANDS AND MINDS:
PEDAGOGICAL APPROACHES AND
MANIPULATIVES IN SECONDARY
MATH
ZOREN C. BINARAO

2. polypad.amplify.com

11. “If a child can't learn the way
we teach, maybe we should
teach the way they learn.”
– Ignacio Estrada

12. active
learning

13. hands-on
experiences

14. explore

15. manipulative
-based

16. leaner-
centered

17. PEDAGOGICAL
APPROACHES
Discuss the learner-
centered approaches
in teaching Math in
Key Stage 3.
RETENTION
DISCUSSION FOCUS
MANIPULATING
MATH
Introduce math
manipulatives and
describe its
importance in math
instruction.
TIPS FOR
INTEGRATION
Analyze steps and
integrate
manipulatives in
teaching.

18. Pedagogical Approaches
in Math Education
various strategies
and methods

19. Pedagogical Approaches
in Math Education
conceptual understanding,
problem-solving,
and critical thinking

20. Concrete-
Pictorial-
Abstract (CPA)
Approach
ENACTIVE
ICONIC
SYMBOLIC

21. Constructivist
Approach
ACTIVE
ZPD
SCAFFOLDING

22. Inquiry-Based
Learning
EXPLORATION
QUESTIONING

23. Collaborative
Learning
GROUP
activities
PEER
explaination

24. Experiential
and Reflective
Learning
DIRECT
HANDS-ON
REFLECTION

25. Manipulating Math
actively using physical or
visual tools

26. Manipulating Math
moving objects
drawing models
using hands-on materials

27. Manipulating Math
to make abstract math
concepts more concrete

28. Algebra Tiles
Representing algebraic
expressions, simplifying,
expanding, expanding binomials,
solving linear equations.

29. Geoboard
Exploring geometric concepts
such as area, perimeter,
congruence, and transformation.

30. Geo Strips
Constructing and exploring
properties of polygons.

31. 3D Geometric
Solids
Visualizing surface area and
volume, properties of solids.

32. Fraction Tiles or
Circles
Visualizing parts of a whole,
comparing, adding/ subtracting
rational numbers.

33. Hands-on approach supports deeper
understanding, especially for young
learners who struggle with abstract
concepts.
Improved Concept Understanding

34. Through hands-on trial and error,
they learn to analyze, test, and refine
their thinking, which strengthens
their reasoning and decision-making
skills.
Enhanced Problem-Solving Skills

35. Active involvement in learning keeps
students engaged and supports
long-term learning retention.
Engaging and Interactive Learning

36. HOW to Effectively Integrate
Manipulative-Based Strategies Aligned
with the DepEd curriculum?
The 5 Keys to effective integration:
1. Purpose
2. Match
3. Embed
4. Progress
5. Reflect

37. Match the manipulative to the math concept and
learners' developmental needs.
PURPOSE
Begin with clear, competency-based learning
goals.
MATCH

38. EMBED
Embed manipulatives across all phases of
instruction.
PROGRESS
Follow the CPA (Concrete–Pictorial–Abstract)
approach.

39. REFLECT
Use manipulatives to promote thinking,
communication, and formative assessment.

40. Accomplish the matrix.
RMA Task
Competency Manipulative Describe the process how
the manipulative is used.
Explain how the activity supports conceptual
understanding, problem solving skills, and engagement.

41. Thank you for your
attention and active
participation.