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Learning math is also fun and exciting when it is
accomplished through investigations that students conduct to explore the
processes and discover the rules (yes rules) that comprise mathematical
knowledge. Understanding is achieved through reflection and
sharing of ideas and concepts discovered through investigation.
According to NCREL
(North Central Regional Educational Laboratory),
Mathematically Significant Learning Experiences include:
- Hands-on, involving students in really
doing mathematics - experimenting first-hand with physical objects
in the environment and having concrete experience before learning
abstract mathematical concepts
- Minds-on, focusing on the core concepts
and critical thinking processes needed for students to create and
re-create mathematical concepts and relationships in their own minds
- Authentic, allowing students to explore,
discover, discuss, and meaningfully construct mathematical concepts
and relationships in contexts that involve real-world problems and
projects that are relevant and interesting to the learner.
Constructivist principals essential to the teaching and learning of
mathematics are described at the NCREL
site. Please read the concise summaries found at the following
links:
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