I attended a math PD on Friday. It was based on the work of Cathy Fosnot. I thought I should share a bit of the discussion.
It also discussed the importance of using the 7 math processes: weaving them into every math outcome.
1. - communication (C) - in order to learn and express their understanding;
2. - connections (CN)- mathematical ideas to other concepts in mathematics to everyday experience and to other disciplines;
3. mental mathematics and estimations (ME) - demonstrate fluency with mental mathematics and estimation;
4. -problem solving (PS) - develop and apply new mathematical knowledge through problem solving;
5. -reasoning (R)- develop mathematical reasoning;
6. - technology (T) - select and use technologies as tools for learning and solving problems ;
7. - visualization (V)- develop visualization skills to assist in processing information, making connections and solving problems
The following link has videos, fact sheets for educators and parents alike, demonstrating the importance of embedding these 7 processes into everyday math instruction and what it may look like in the classroom. Please check it out.
https://education.alberta.ca/teachers/program/math/educator/links.aspx
What a 21st Century Classroom looks like:
- puzzlement is an essential part of learning;
- we know that too much teacher - lead instruction reduces creativity, stifles intuitiveness, and limits risk taking;
Teacher's Role -
- produce mathematicians, not reproduce math;
- support the learner, not fix the math;
- develop a vibrant culture of learning, rather than one of dependence and procedures;
Encourage Mathematical thinking: What do Mathematicians do?
Organize their thinking and their strategies.
Make mistakes but keep on thinking.
Look for more than one way to solve a problem.
Meet and share ideas with other mathematicians.
May disagree but can explain their thinking.
Work together on new ideas. (What do you see?)
Look for new ideas in other people's thinking.
Give feedback to others to help them improve their thinking.
Prove a strategy works by using another strategy to get the same result of conclusion.
Support Each other.
Re-organize their thinking and refine their strategies.
I guess what it comes down to is: in the words of Cathy Fostnot
author of "Contexts for Learning Mathematics"
Explain Less, Explore More
and
Support, Celebrate and up the Ante
Any thoughts??? Please comment?
It also discussed the importance of using the 7 math processes: weaving them into every math outcome.
1. - communication (C) - in order to learn and express their understanding;
2. - connections (CN)- mathematical ideas to other concepts in mathematics to everyday experience and to other disciplines;
3. mental mathematics and estimations (ME) - demonstrate fluency with mental mathematics and estimation;
4. -problem solving (PS) - develop and apply new mathematical knowledge through problem solving;
5. -reasoning (R)- develop mathematical reasoning;
6. - technology (T) - select and use technologies as tools for learning and solving problems ;
7. - visualization (V)- develop visualization skills to assist in processing information, making connections and solving problems
The following link has videos, fact sheets for educators and parents alike, demonstrating the importance of embedding these 7 processes into everyday math instruction and what it may look like in the classroom. Please check it out.
https://education.alberta.ca/teachers/program/math/educator/links.aspx
What a 21st Century Classroom looks like:
- puzzlement is an essential part of learning;
- we know that too much teacher - lead instruction reduces creativity, stifles intuitiveness, and limits risk taking;
Teacher's Role -
- produce mathematicians, not reproduce math;
- support the learner, not fix the math;
- develop a vibrant culture of learning, rather than one of dependence and procedures;
Encourage Mathematical thinking: What do Mathematicians do?
Organize their thinking and their strategies.
Make mistakes but keep on thinking.
Look for more than one way to solve a problem.
Meet and share ideas with other mathematicians.
May disagree but can explain their thinking.
Work together on new ideas. (What do you see?)
Look for new ideas in other people's thinking.
Give feedback to others to help them improve their thinking.
Prove a strategy works by using another strategy to get the same result of conclusion.
Support Each other.
Re-organize their thinking and refine their strategies.
I guess what it comes down to is: in the words of Cathy Fostnot
author of "Contexts for Learning Mathematics"
Explain Less, Explore More
and
Support, Celebrate and up the Ante
Any thoughts??? Please comment?