Sensitizes high school and college teachers to challenges that students often have with mathematical symbols and suggests instructional strategies that can reduce such difficulties. Discusses various uses of symbols and identifies common difficulties encountered as students verbalize, read, and write symbols. Offers teaching strategies that can…

Presents a quilting problem that engages students at many levels, has multiple possible solution paths, lends itself to a variety of representations, and connects many mathematical ideas. (KHR)

Discusses the importance of mental mathematics beyond the middle school. Presents sample objectives for different courses or strands, and teaching ideas to make mental mathematics an important, ongoing goal in secondary mathematics instruction and beyond. (KHR)

Focuses on vocabulary as one aspect of language that is necessary for overall mathematics achievement. Identifies potential vocabulary problems and provides instructional strategies to promote vocabulary development. (KHR)

Describes a way of using the extended metaphor of an imaginary airline that bridges the gap between students' work with logic and their creation of proofs. (KHR)

Discusses etymologies of mathematics words as a rich resource for deepening student understanding and appreciation of mathematics, history, and language. Presents detailed examples concerning the branches of mathematics, conic sections, and words of Arabic origin. (KHR)

The estimation strategies of "using compatible numbers,""averaging," and "rounding" are used. The first two worksheets review easy arithmetic facts and ask students to identify compatible numbers. Worksheet Three introduces averaging and provides practice with rounding, while the fourth worksheet contains problems for group practice. (MNS)

Presents the hierarchical structure of quadrilaterals as an illustration of learning a geometric concept by moving from the levels of visualization and analysis to the level of formal deduction. The development discusses the classification of quadrilaterals, the inheritance of properties within the hierarchy, connections between algebra and…

Shares a method that encourages students to read the mathematics textbook by quizzing the students on the ideas read in the previous day's assignment. Describes how the quizzes are administered and provides examples of typical quizzes. (MDH)

Discussed are several common aspects of teaching functions and statistics including graphing relations, exploring relations, transforming relations, and modeling situations. Examples of each are provided. (CW)