About Teaching

Ideas you may find useful in discussions with your colleagues.


by Henri Picciotto
Now a math education consultant, after 42 years in the classroom.

* I marked articles relevant to more than just math teachers with an asterisk.

An article on Reaching the Full Range of students.
Practical suggestions on implementing these ideas.


For a tool-rich pedagogy, to reach more students and to deepen understanding.

A presentation on these topics at the UC Berkeley School of Education:

(Slides: html | Keynote) | Shorter version: recorded webinar | Even shorter: recorded webinar


The Assessment Trap: how some approaches to assessment undermine learning, and what to do about it.

Retakes vs. Test Corrections vs. Neither

Taking Notes vs. Doing Math: Students cannot do both at the same time.

Against Hyper-Acceleration of students in math.
Sooner is not necessarily better.

Time Pressure: Bad for Students, Bad for Teachers, a five-minute Ignite presentation.


Big-Picture Planning: program, course, unit


The place and purpose of Puzzles in Math Curriculum

The Common Core High School Math State Standards — a closer look
(a 20-page in-depth analysis).

There is no one way: An argument for teacher eclecticism.

Effective teachers constantly broaden their repertoire, and learn to make choices that may not come naturally. The Art of Teaching* worksheet may help.

"Art of Teaching" slides, also including slides on transitioning to a longer period*: online | Keynote

It is a companion to "Nothing Works", an article and a talk (outline, slides) in which I present some of my techniques.

I focus on a subset of these in a presentation on "Serving Our Strongest Students" (slides), and "Creating a Problem-Solving Culture" (slides).

An article on teaching in the long period*.

Why I Use the Interactive Whiteboard (2013)

The outline of a workshop for beginning teachers: Everything I Know.

Documents I have written for the Urban School Math Department:
Heterogeneous Classes
Group Work
A presentation on teacher collaboration (slides):
2003 version*, for independent school leaders
2008 version, for math teachers and math department chairs
2012 version*, for independent school teacher-leaders
Articles I co-authored with Jonathan Howland, then an English teacher at The Urban School:
Depth vs. Breadth*, The Urban Community, April 1999. Slides* (2015): online | Keynote
Teacher Collaboration*, Independent School, Spring 2003
Major early influences on my teaching:
Project SEED | Project SEED materials
Every Minute Counts
Geometry: A Guided Inquiry

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