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Presentations & Publications

January 16, 2014 "Puzzling through problems” as a habit of mind
32nd Panama conference

We often think of puzzles as special-purpose artifacts crafted solely for the purpose of entertainment.

April 25, 2012 Puzzles are not just for dessert
NCTM Annual Meeting

What child does not love puzzles?  What teacher does not love watching children have fun while strengthening their skills?  Get students involved...

April 16, 2011 Teaching without talking: building visual attention, focus, and working memory
NCTM Annual Meeting

It’s riveting! When the teacher doesn't talk, children watch intently to puzzle out how to join in the activity. They listen to each other, connect ideas,...

April 15, 2011 Mental gymnastics for your students: building computational skill and understanding
NCTM Annual Meeting

Save paper by using your head! Classroom video will show the astonishing mental arithmetic that nearly all young children can learn to do.

April 15, 2011 Thirteen formulas or one idea? Area, volume, dissections, and proof
NCTM Annual Meeting

Unify all familiar area and volume formulas, 2- and 3-D, as one versatile idea: scale factor x base x height.

April 15, 2011 Deep thinking and real fun with vertices, edges, and faces
NCTM Annual Meeting

Ever wonder what there is to do with this vocabulary other than know it?

April 14, 2011 Algebra: Grades K-12: a perspective from three programs
NCTM Annual Meeting
April 14, 2011 Algebra: Grades K-12: a perspective from three programs
NCTM annual national conference
April 14, 2011 What babies (and brain science) say about elementary school mathematics
NCTM Annual Meeting

Babies know more than you think! Elements of number, arithmetic, symmetry, transformations, probability, and even algebra are built in, or develop in early...

April 14, 2011 Geometry and early algebra: attributes, function machines, and sorting
NCTM Annual Meeting

By sorting non-standard as well as garden-variety geometric shapes, children see enough contrast to recognize what features make particular shapes special...

March 23, 2011 Cross Number Puzzles
ATMIM/ATMNYS 2011 Conference

Sorting to Algebra

April 23, 2010 Keeping up, not catching up: differentiating instruction without differentiating children
NCTM Annual Conference

Abstract: For strugglers, timing matters. A little help before a lesson gives a child two chances to learn: the help session, and the lesson for which the...

April 23, 2010 Drill and thrill: mindful practice that connects skill with understanding
NCTM Annual Conference


April 23, 2010 Zooming in on number lines: connecting whole numbers, decimals, and fractions
NCTM Annual Conference


June 11, 2008 What do Attention, Memory, and Language Learning have to do with Problem Solving?
Keynote address at MassMATE, the Massachusetts Mathematics Association of Teacher Educators

The way young children learn their own language can tell us a lot about how they — and perhaps the rest of us — learn mathematics.

January 10, 2008 How the ideas and language of algebra K-5 set the stage for algebra 6–12
October 1, 2007 From Buttons to Algebra: Learning the ideas and language of algebra, K-12

What could mathematics be like? It could spark curiosity! (How can addition and subtraction sentences ever do that?!) And it could be fascinating!

March 23, 2007 Counting on Curiosity
NCTM Annual Meeting

What makes students curious? How does their curiosity drive learning and understanding?

March 23, 2007 Old Computations, New Representations
NCTM Annual Meeting

How can we ensure that our students develop computational fluency while also building conceptual understanding?

March 21, 2007 Shape Safari: Engaging and Useful Contexts for Learning 3-D Geometry!
NCTM Annual Meeting

When kids need to communicate and have something to talk about, they’re superb language learners. Tests require oodles of vocabulary, but we want thinking...