Math w/Mrs. Caley
An inquiry stance with mathematics
- Learning is social.
- Students should have opportunities to represent learning in multiple ways.
- Manipulatives should be used to support a concrete to abstract progression.
- Conceptual understanding is achieved through questioning, exploration, and talk.
-responsibility and accountability
-problem solving w/group members
-manipulatives (concrete & representational)
-self-checking (when possible)
-guided math: focus on language and mathematical practice
- questioning w/ focus on how do you know and why do you think that is right (justifications, DOK 3)
-focus on how to learn and what to learn
-addressing mathematical practices
-revisit goals & establishing what to do next
-reflect on practices (SMP, STANDARDS FOR MATHEMATICAL PRACTICE)
-making sense of the algorithms and process, why and how they work, making connections
-why tricks don't help you understand why you do what you do and at some point will hinder growth
-tying back to essential questions, connect relevance of why we are doing these skills back to the bigger question, especially helpful for struggling mathematicians
Math as a language
-verbalizing concepts and moving towards math being used as a tool and not just a content area