In school mathematics, we spend a lot of time making math very formal, very sophisticated, and very unreachable for most people because it doesn’t feel real. Perhaps more time should be spent playing with math, exploring math, and making math real for everyone. In ancient times, people often did very sophisticated math problems, but they… Continue Reading
“From the ages of 3 through 6, children need many experiences that call on them to relate their knowledge to the vocabulary and conceptual frameworks of mathematics – in other words, to ‘mathematize’ what they intuitively grasp.” (NCTM/NAEYC 2002, p.16) So what does it mean to “mathematize”? Mathematize is defined as: To regard or treat… Continue Reading
In part I of my blog, “The Feynman Technique,” I began discussing Richard Feynman’s method for learning something new. Feynman’s personal mode of learning was based on constructivism, building understanding from first principles. As I mentioned, all of us at the AIMS Center have been tasked with learning new concepts outside of our field of… Continue Reading
Brook Lewis talks about the research she has been studying regarding how students progress from additive thinking to multiplicative thinking. Children start early to count, but we can help them to “segment” their counts into various speech patterns. She references a face to face meeting with Dr. Les Steffe the major researcher we look closely at here at AIMS. She introduces to us the concept of a “composite unit” and how to help children to recognize that it is possible to make use of that form of counting. We discuss a multi-dimensional representation of the interconnections she is seeing between composite units and other areas in our research here.
Here are my thoughts for today. I want to challenge every reader to be opportunistic and see what is right and bright in education. We educators have a daily view from within our schools and classrooms, and that is where we have the opportunity to shine – to make differences that matter. I challenge you… Continue Reading
We at the AIMS Center have been digging into research on how children come to know number. What I realize is that knowing the journey from perceptual to conceptual which children must take is important for teachers to understand, in order to effectively help children on their path to understanding number. We have discussed the… Continue Reading
In my last post, I mentioned that I had been seeing a pattern in the presentations at conferences this past fall. Many of the keynote and special guest speakers had incorporated a frame of reference that seemed to me to be a focus on student thinking. “Why is this an important shift?” you might ask.… Continue Reading
In January, I had the wonderful opportunity to present to a group of 50 dedicated TK/K teachers in Clovis Unified School District. My colleague, Jason Chamberlain, and I provided the research on the importance of children having early math opportunities prior to kindergarten and weaving math opportunities throughout the day. We provided a variety of… Continue Reading
As we usher in 2017, I cannot help but think about how quickly the rate of time seems to have increased as I have gotten older. Certainly part of the perceived change is my current frame of reference; time of life in regards to my family and the professional duties between FPU and the AIMS… Continue Reading
Meagan and Brandon Dorman chat in the studio this week. We discuss a topic that is important in the Special Education world known as Universal Design for Learning, and how it can assist in creating an environment for all students to learn well, something that is central Meagan’s work. Also we focus on a related topic of Formative Assessment (assessing student knowledge along the path to learning not merely for grading or at the end of a unit). We discuss how shifting to these two foci supports a strong learning environment, rich with opportunity for students to learn. The use of several technology tools are brought up as Brandon’s work is completely focused upon this aspect of the learning enterprise.