This web site is an archive that serves as a portal to a collection of challenges and essays devoted to

The Art & Craft
Posing Problems & Making Conjectures

Expanding Teachers' and Students' Mathematical 'Habits of Mind'

This archive has two primary goals -

            - to help teachers think deeply about aspects of mathematics that they know and are expected to teach, and

            - to (re)awaken teachers' own intellectual curiosity and mathematical creativity

My perspective...

           I believe that the essence of ...

                ...teaching is posing a provocative & engaging next question at the proper moment

                ...mathematics is making, exploring, proving & disproving conjectures

and I take it to heart when Georg Cantor says

                "In mathematics, the art of proposing a question must be held of higher value than solving it"

going further...
                For a detailed look at my courses on Problem Posing with Interactive Images click here

                To explore a proposed way of distinguishing skill tasks from understanding tasks click here

Judah L. Schwartz

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mathMINDhabits by Judah L. Schwartz is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.