This study focuses on the mathematics department at a South African university and in particular on teaching of calculus to first year engineering students. The paper reports on a cause-effect analysis, often used for business improvement. The cause-effect analysis indicates that there are many factors that impact on secondary school teaching of…

The work that mathematics teachers do is frequently mathematical in nature and different from other professions. Understanding and describing common ways that teachers draw upon their content knowledge in the practice of teaching is important. Building on the descriptions by McCrory et al. ("Journal for Research in Mathematics Education"…

In this article, the author describes the Launch-Explore-Summarize teaching model which provides a way to structure how students participated in tasks. Shifting the structure of lessons helped the author foster her desired mathematical environment. This approach to teaching was different for her in that it recommended giving students very little…

This paper proposes modelling based learning as a tool for learning and teaching mathematics in high school. We report on an example of modelling real world problems in two high schools in Serbia where students were introduced for the first time to the basic concepts of modelling. Student use of computers and educational software, GeoGebra, was…

This brief first describes individual interventions that CREATE researchers tested in middle school science, social studies, and language arts classrooms with English language learners over the course of the 2005-2009 school years. The brief then explains how the SIOP Model was used as a professional development framework to unite the separate…

Colleges are facing an increasing population of students who begin their college experience in developmental education classes in reading, math, and/or English. Many of these students are unsuccessful in attaining a degree, sometimes because they are deterred by their lack of preparation and the delay of two or more semesters before they begin…

Notes that attempting to teach formal mathematics to disadvantaged children, before they have mastered the four operations on whole numbers, only frustrates them and turns them off to mathematics early in their school life. (Author/AM)

The combination of mathematical and conceptual difficulties makes teaching quantum physics at secondary schools a precarious undertaking. With many of the conceptual difficulties being unavoidable, simplifying the mathematics becomes top priority. The particle/wave-in-a-box provides a teaching model which includes many aspects of serious …

This article explores how students' mathematical representations can be used as formative assessments. We introduce a framework for teaching and learning that integrates representations as instructional and assessment tools, and illustrate these uses of student representations with reference to a study conducted with 250 5th-grade students. This…

An instructional model, labeled "direct instruction," which contains general principles that can form the basis for in-service teacher training in teaching basic skills in reading and mathematics, is described. (JD)

The author presents a research-oriented approach to teacher training intended to aid teachers in being able to reason about the content, methods and goals of their teaching activities. The model research procedure is then illustrated by exploring a particular teaching unit in three-dimensional geometry. (MN)

Two studies of the effectiveness of supplemental instruction (SI) for college-level calculus courses are reported. In each, achievement was compared for students whose discussion groups were conducted using the supplemental instruction (SI) model and those whose discussion groups were conducted with traditional content-only focus. In both cases,…

In this article, the author discusses the teaching strategy of the mixed independent school where she works, in which they split the students into four or five ability sets. The sets are decided primarily either by pupil achievement in the entrance examinations prior to Y9 or by pupil performance in the prep school. The author also presents the…

The document presents information on activities designed to foster growth in creativity and upper level thinking of secondary gifted students. An introductory section covers instructional models, including Guilford's Structure-of-Intellect Model and Krathwohl's Affective Taxonomical Model. Activities are described in terms of objectives,…

The model outlined in this document describes the development of an integrated approach to teaching content reading skills to teachers. Methods and materials applicable to texts and media currently used in classrooms were produced by inservice teachers of science, math, and social studies at a Salt Lake City junior high school. This document…