Irrational numbers, square roots, and quadratic equations. (English)

Math. Teach. Middle Sch. 20, No. 8, 468-474 (2015).

Summary: The purpose of this article is to respond to questions raised by middle school mathematics teachers about irrational numbers and square roots and about solving quadratic equations. The hope is that the discussion not only provides a meaningful explanation of each individual concept but also connects the concepts and explores a possible way to elicit classroom discussions that emphasize making conjectures, constructing viable arguments, and critiquing the reasoning of others. (ERIC)