A Year in the Life: Ambient Math Wins the Race to the Top!
For one year, 365 days, this blog will address the Common Core Standards from the perspective of creating an alternate, ambient learning environment for math. Ambient is defined as “existing or present on all sides, an all-encompassing atmosphere.” And ambient music is defined as: “Quiet and relaxing with melodies that repeat many times.”
Why ambient? A math teaching style that’s whole and all encompassing, with themes that repeat many times through the years, is most likely to be effective and successful. As promised, today’s post will review the eight Standards for Mathematical Practice, Grade 1. For an in-depth look at these standards, see Days 36 to 43, and note that though these posts focus on Kindergarten rather than Grade 1, they do offer an in-depth analysis of the standards as they compare with the philosophy and methodology of Waldorf education.
These are the eight Standards for Mathematical Practice, grouped into four categories.
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.
1 & 6 = Overarching habits of mind of a productive mathematical thinker.
2 & 3 = Reasoning and explaining.
4 & 5 = Modeling and using tools.
7 & 8 = Seeing structure and generalizing.
Over the next four days, each of the four groups will be examined with an eye toward what really works as developmentally appropriate math in Grade 1, beginning with standards 1 & 6, tomorrow. Knowledge ensues in an environment dedicated to imaginative, creative knowing, where student and teacher alike surrender to the ensuing of that knowledge as a worthy goal.