Chapter Questions
Kaput argues that generalization and symbolization are essential aspects of algebraic thinking. Describe what you think each is and give an example.
What misconceptions or limited conceptions do students have regarding the equal sign? What causes these misconceptions, and how can instruction clear these up?
What misconceptions or limited conceptions do students have regarding variables? What causes these misconceptions, and how can instruction clear these up?
Explain how to solve the equation $4 x+3=x+12$ on the pan balance.
What is a recursive relationship? An explicit relationship? Where in a table for a growing pattern would you look for the recursive relationship? What would it mean in terms of the pattern itself?