thanks....im looking for activities for my students who are having difficulties looking at the equal sign (=) as meaning 'equal to' opposed to 'and the answer is...'
Generalize the relationship between elements and their locations in a sequence and use that information to continue and predict, what will the 30th item (element) be?
1, 2, 3, 4, 5, 6
A, B, A, B, A, B (B’s are always even. The 20th position will be a B)
Understanding the concept of variable is fundamental to algebra and, as noted by Schoenfeld and Arcavi (1988, pg. 420), “is necessary for the meaningful use of all advanced mathematics.”
Student learning is strongly linked to personal concrete experience. Students can only move toward an understanding of symbols, only after a strong foundation has been built on the concrete level.
Video from Thomas Carpenter and Linda Levi’s research.
As students explore ways balanced can be maintained, they learn that adding the same to both or removing the same amount from both sides, will not cause the balance to be disturbed.
Students should see relationships between numbers.
The understanding of equality and the appropriate use of the equal sign is critical for developing algebraic reasoning.
Definition: A relationship between two sets A and B, expressed as an unambiguous rule which tells how to associate each member of A with one member of B (Karush, 1989).
The function is considered by many to be the single most important idea in mathematics at all levels.
Functions are the central idea that ties algebra and calculus together.