Previous studies of integral calculus have mainly explored students' conceptual and procedural knowledge; only a few have focused on students' metacognition in relation to integral calculus. The study reported here explored students' metacognitive knowledge of integral calculus by interviewing nine first-year university and eight Year 13 students.…

In this book Bill Hanlon provides examples and recommends highly effective and practical instructional and assessment strategies that classroom teachers can immediately implement and that school administrators can readily observe. These high yield strategies build on accepted practices and directly address the needs of struggling students or…

This paper describes how a new pre-service teacher engaged with mathematical content in order to learn it for teaching, during practicum. The results show that the PST learned mathematical content by initiating and carrying out a preparation phase prior to planning. This phase involved searching through internet sites and making notes that were…

This research examined, through a basic qualitative approach, how sixth-grade mathematics teachers and their students in a New York inner-city middle school experienced the implementation of three "Classroom Instruction that Works" (CITW) instructional strategies namely, summarizing and note-taking, cooperative learning, and generating…

Previous studies have demonstrated that making annotations can be a meaningful and useful learning method that promote metacognition and enhance learning achievement. A web-based annotation system, Virtual Pen (VPEN), which provides for the creation and review of annotations and homework solutions, has been developed to foster learning process…

Explains how writing in notebooks, reading textbooks, and homework assignments can be turned into learning strategies in a mathematics classroom and how the combination of the three reflects a comprehensive method for studying. Includes an example of a learning guide on variables and operations. (MKR)