"The practice of teaching without understanding damages students' ability to reflect and to make sense of what they are doing." -John Dewey, 1910
The important thing is not to stop questioning. – Albert Einstein
Likely as not, the child you can do the least with will do the most to make you proud. – Mignon McLaughlin
Develop a passion for learning. If you do, you will never cease to grow. –Anthony J. D’Angelo
"Every student can learn, just not on the same day or in the same way." -George Evans
Students need to understand "why" math works rather than just a process (formulas and rules) to find the answer. In other words, students need to know more than what works when solving a problem. They need to understand why it works and become critical thinkers. -Eureka Math
Mistakes are the most important thing that happens in any classroom, because they tell you where to focus that deliberate practice. -Hunter Maats and Katie O'Brien
A child must have some version of, "Yes, I imagine I can do this." And a teacher must also view the present child as competent and on that basis imagine new possibilities.
The more senses you involve on the tough-to-remember problem the more chance you will hit the jackpot and catch the brain's attention.
Implications for Teaching
-making it easy to learn
-building on strengths
-chance for success
-reminding them of what they know and providing emotional support, encouragement and positive feedback for partially correct
-remaining clam and striving to understand the child's words and actions and what they reveal
Explore a variety of modalities: looking, hearing, saying, manipulating, moving, changing color, changing tools, changing textures, changing surfaces (horizontal, vertical)
It takes a lot of practice, not just instruction, to facilitate permanent retention of skills!
Goal Setting
In the mathematics classroom, it is not enough to simply require students to work hard. They need to know what they are learning, why it is important, and how their current work is connected to past learning and will support future learning. Knowing where their learning lies in the mathematical landscape allows students to access the content in a much more precise and efficient way. When students are presented with challenging yet attainable goals, they are motivated to engage in the learning. They are equipped to monitor their own learning during and after instruction. Sun Tzu once said, “Know thy self, know thy enemy, a thousand battles, a thousand victories.” When students can name their struggle they are empowered and motivated to work through the confusion to understanding.
Credit: Chrystal Rowland http://p2akcm.blogspot.com/
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