Encouraging students to reason with quantitative relationships can help them develop, understand, and explore mathematical models of real-world phenomena. Through two examples--modeling the motion of a speeding car and the growth of a Jactus plant--this article describes how teachers can use six practical tips to help students develop quantitative…

The article discusses the need for mathematical literacy in our world today and shares results from the 2003 PISA assessment of mathematical literacy. Some ideas are presented for incorporating similar problems in the classroom. (Contains 4 figures and 3 tables.)

Describes some ways to assess students' achievement of objectives in the Assessment Standards for School Mathematics. Suggests alternative methods of assessment that are appropriate to answer questions about connections and reasoning. Discussion is divided into two sections: (1) Assessment as Culminating Activity and Evaluation-An Example from…

Suggests ways to analyze and modify typical classroom tests that are objective, easy to implement, and in accordance with the types of changes and recommendations being discussed to improve assessment. Sections include Criteria for Analyzing Classroom Tests; Modifying Test Items; Needed Steps; Cautions; and Conclusions. Uses actual classroom test…

Presents remarks adapted from the presidential address given at the 1999 annual meeting of the National Council of Teachers of Mathematics (NCTM). Explains that the mathematics classroom teacher must create an environment that supports students, mathematics growth at many different levels, and ways in which to accomplish this. Considers changing…

Discusses the process and the usefulness of translating empirical logic puzzles into mathematical problems which may be more easily solved, then translating the answer back into the context of the original problem. Presents nine logic puzzles devised by Lewis Carroll, with answers. (AIM)