Based on the notion that teaching vocabulary extension in isolation makes little impact on students, a three-part exercise, designed to develop students' vocabulary through poetry while providing meaningful enjoyment, uses the poem "The Hawk" by A. C. Benson. In the first class period, students are introduced to both the exercise and the poem and…

A mathematics teacher shares a family discussion about Pythagorean triples as her child discovers new ideas about generating a triple. This idea can be useful for introducing students to the Pythagorean theorem. Observes that middle school students tend not to share creative insights in spite of supportive families and teachers. Presents…

This publication is a practical guide for teachers to improve their questioning techniques and thus increase their students' motivation, participation, and higher-level thinking. Teachers are urged to re-examine their views on educational practices and develop a teaching plan which accentuates opportunities for student involvement, and allows…

Describes three activities that the teacher can employ to help students develop thinking skills through mathematics instruction: (1) memorization using the technique of chunking; (2) higher order thinking with magic squares; and (3) predicting games. Identifies eight facets of the teacher's role in promoting thinking skills. (MDH)

Highlights combinatorial problems appropriate for students aged 4 to 12 years that utilize manipulatives in a hands-on approach. Examines and identifies students' strategies and self-monitoring techniques that produce effective problem solving. (MDH)

Discusses how a single problem can be utilized to discuss mathematical skills and concepts at several different levels. Presents a problem involving fractions examined at the following four levels according to the abilities of the students: (1) finding solutions; (2) identifying methods for finding solutions; (3) exploring similar examples; and…