Discuss with Your Colleagues: Why Representations?
James Schultz, Michael Waters
Representation is discussed in the context of solving a system of linear equations. Five representations [concrete, tables, graphs, algebraic, matrices] are viewed from perspectives of understanding, technology, generalization, exact vs approximate solution, and learning style.
College Entrance Mathematics in the Year 2000-What Came True?
In the September 1984 MT, the author made eight Year 2000 predictions about three issues: the role of the computer, the quality of math education, and curricular change. Here's what actually happened!
Algebra for All: Using Homemade Algebra Tiles to Develop Algebra and Prealgebra Concepts
Annette Leitze, Nancy Kitt
Using homemade tiles, sketches, and the box method to reach a broader group of students for successful algebra learning. A list of concepts appropriate for such an approach is provided.
The Angles of a Star
The angles-of-a-star problem [Find the sums of the measures of the angles at the vertices of a five pointed star] is used to show that a good problem may have many correct solutions.
The Probability of Winning a Lotto Jackpot Twice
State lotto games as a source of problems and exercises for classroom activities, as well as applications of basic probability concepts in a practical setting lead to much greater understanding of the remote chance anyone has of winning a lotto game.