Oh, the Possibilities

Our early math team continues to explore what might be possible for young children in the context of number development and play. We recently designed a linear board game called “Frog Splash” to help preschoolers begin to count the hops of a frog as it nears a swimming hole. After trying this game with children,… Continue Reading

From Red Rock to Green Wall

I have nearly 30 years experience in the teaching of mathematics and the teaching of the teaching of mathematics. Some of my favorite teaching moments have centered on the use of, or focus upon, problems to teach with or from. Every summer for nearly 15 years I would teach the Problem Solving course at Fresno… Continue Reading

Episode 29 | Mathematical Fluency: What does it Mean, Why is it Important?

Cathy Carroll is a Senior Researcher in Mathematics Education for WestEd, an educational research labratory and center. She joins Chris in the studio to talk about what it means to be mathematically fluent and how important this fluency is. Connecting fluency with flexibility rather than automaticity seems to be a core idea within her description and definition for this goal of mathematics education.

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Thinking the NGSS Way

Are you making the transition to using Next Generation Science Standards (NGSS) as the guiding document in your science classroom? Making the transition to thinking the NGSS way may definitely be a change. The document asks educators to engage students in rigorous thinking enabling them to share arguable evidence while engaged in the science and… Continue Reading

Composite Units and Fractions

In my previous blog, I talked about a composite unit, what it is and how it plays an important role in many different aspects of students’ construction of mathematics. One of these areas is fractions. So how does the student’s ability to take a number as something that is countable affect their understanding of fractions?… Continue Reading

Meet the Children Where They Are: Episode 4

Narrator:  “Although this series makes this interaction seem like a long period of time, it was actually only about 3 minutes…well, maybe 5!  Time flies when you’re having fun, okay?  Anyway, can Bob count two hidden piles of rocks?  Let’s get back to the action.” (Math research associate narrates…) RA:  So it was the bottom… Continue Reading

Episode 28 | Pedagogical Content Knowledge: Its Role in Teaching

Joining Chris in the studio this week is Paul Reimer, a Sr. Researcher at the AIMS Center working with our Early Mathematics studies. Paul is also a student in the Michigan State University Doctoral Program, studying the effects of teacher beliefs on student learning. We discuss his studies and how they connect with our work here at the AIMS Center.

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A Heart for Professional Learning

Who do you rely on professionally? I could name a long list of people, places, journals, periodicals, podcasts, and websites, but most recently I listened to my colleague Chris Brownell’s recent podcast with Director of Special Education Studies at Fresno Pacific University, Megan Chaney. Megan is doing her doctoral research on teachers dispositions and she… Continue Reading