Traveling from Arithmetic to Algebra
conceptual knowledge of numbers, especially fractions, is an important link to
a conceptual understandig of variables. This article suggests activities that
explicitly show the connections between numbers and variables using the number
line as the connecting device.
Representations from the Real World
problems and activities have been used to demonstrate the uses of multiple
representations as well as provide opportunities for students to practice using
multiple representations in solving problems.
The Money Context
Michal Tabach, Alex Friedlander
activity taken from a beginning algebra course is used to promote students’
learning of procedures by a conceptual approach.
Patterns, Quantities, and Linear Functions
of middle school students and their ideas about linear functions after working
with either patterns in number tables or real-world quantities.
Burning the Candle at Just One End
learning proportions, students must understand what makes a situation
proportional. The use of nonproportional situations allows students to analyze
the problem situation, determine the manner in which quantities co-vary, and
indentify the relationship that is invariant.