Questions are the key to deeper learning. Through asking probing questions that can only be answered by explanations requiring depth and thought, we are able to extend understanding.
The two question rule: ask a probing question, then follow it up with another question that requires deep thought to answer.
Using the two question rule we can extend knowledge to a deeper level and students will begin to anticipate that second question. This will give people the need to think deeper on a regular basis because they will want to be prepared for the next question. You don't even need to always ask the second question once it is anticipated.
Read the full article here: http://www.edutopia.org/blog/importance-asking-questions-promote-higher-order-competencies-maurice-elias
This article was brought to my attention by @thinklangley
The main points to achieve growth mindset in the classroom.
1) Highlight the value of mistakes in the service of learning.
2) Put kids in charge of their own learning.
3) Give growth mindset feedback.
4) Nurture a risk-tolerant peer culture.
The article can be found here:
It seems like problems solving is the single most important skill that students can get out of attending math class. Organizing ideas and putting together coherent thoughts is a skill that can carry over to many different disciplines and is broadly applicable in and out of school.
One of the pioneers in problem solving that I have been exposed to is Polya. His methods for problem solving in mathematics have lasted the test of time and are just as valid now as when he wrote his problem solving manual "How to Solve It."
Teaching students the methods he presents in his famous work in an explicit step by step manner could have great potential for success on the new SBAC testing that is forthcoming. By teaching students the problem solving process, reenforcing the process continuously, and building in routines that will become second nature to students: we can give our pupils a way to attack these complex and intricate tasks that are coming down the pipeline.
In addition to serving students well during testing situations, these skills can carry over to aid students in organizing their thoughts and intuition into coherent understanding.
There are so many resources out there for Polya and his book on problem solving that I am not going to go into the process here. If you do a quick web search there are multiple summaries on his work. Thought I suggest just buying his book and keeping a copy around for reference if you don't already have one.
By: Mr. Woodford
I will reflect on ideas and practices I learn through my formative years as a classroom math teacher.