Author Archives: epgoldenberg

A Physicist’s Lament

By Judah L. Schwartz, Harvard University From whence this blog Nearly twenty years ago Paul Lockhart wrote a brilliant essay, A Mathematician’s Lament[1], on the parlous state of mathematics education. In it, Lockhart laments that mathematics education does not celebrate … Continue reading

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Ideas under construction: children saying what they know

Alli entered kindergarten quite skilled at mental addition and proud of her skill. Subtraction followed quickly. Near the end of her kindergarten year, Alli bounced into class and said that her father had taught her about negative numbers. To assure … Continue reading

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