The development of an instructional model for teaching formal mathematical concepts (probability concepts) to disadvantaged high school students through computer programming and some results from a field test are described in this document. The instructional model takes into account both learner characteristics (cognitive, affective, and…

The use of strategies is an important part of mathematical thinking. Presented are several games that help develop the reasoning strategies of hypothesis making and testing, proving and disproving, looking for patterns, and simplifying a difficult task. (MDH)

Preservice elementary teachers worked cooperatively to explore the relationship between the measure of the central angle and the number of sides of regular polygons using the reflection of a line in a hinged mirror. The experience involved conjecture and experimentation, communication, and building connections between science, geometry, and…

Discusses the use of writing to enhance learning in mathematics from a conceptual development perspective. Shuell's phases of learning are described as a general model for conceptual development and subsequently matched with Britton's categories for transactional-informative writing. Sample mathematics assignments for each writing category are…

Provides a rationale and overview of the content of the working draft of the Curriculum and Evaluation Standards for School Mathematics, developed by the National Council of Teachers of Matematics. (PK)

Presents a series of four worksheets to develop students' perception of spatial relationships. The tasks require students to use cubes to build models and describe the models by representing the front, right, and top views on grid paper. Provides reproducible worksheets. (MDH)

Imagery use in high school mathematics classrooms was studied. A visual image was defined as a mental scheme depicting visual or spatial information, but this definition was not spelled out to teachers or students, in order to learn what they meant by the concept. Subjects were 13 high school teachers and 54 of their students interviewed over 3…

Higher order cognitive development and success in the study of high school mathematics and science require an understanding of rational number concepts and facility with proportional reasoning and computation. Proportional reasoning is an essential schema for developing formal operational thought. This study involving 16 ninth-grade students was…

This document is the second of three related volumes. They present the rationale, background, and framework for a comprehensive monitoring system being developed for the National Science Foundation. The system is being designed to gather information about the effects of national, state, and local policy actions designed to change the teaching and…

Based on the idea that journal writing can help students discover gaps in their knowledge and explore relationships by allowing them to reflect on what they have learned, a study examined the usefulness of expressive journal writing in a first grade mathematics program. Subjects, members of a first grade classroom involved in a…

For American Indian students, math anxiety and math avoidance are the most serious obstacles to general education and to the choice of scientific careers. Indian students interviewed generally exhibited fear and loathing of mathematics and a major lack of basic skills which were caused by a missing or negative impression of the mathematics…

Presents a discussion illustrating student reasoning while using LOGO to draw tilted squares and rectangles. Suggests that teachers recognize that many students use visual imagery to reason and discuss visual reasoning with students. Gives examples of tasks to promote discussion. (MDH)

This instructor's guide was used to help instructors present a course in test-taking skills and five areas that are tested in a standardized test used for apprenticeship screening at many manufacturing companies. The course description lists target audience, general objective, and typical results observed. The rationale for the whole language…

Presents five examples of how technology can be integrated into Family Math nights. Activities involve graphing, managing money, developing mental mathematics skills, developing deductive and spatial reasoning, and using tangrams to explore patterns and spatial relationships. Includes a list of software publishers. (MDH)

Illinois Central College's Development of Operational Reasoning Skills (DOORS) project, which is based on Piaget's developmental theory and learning cycle strategy, is described. The project provides a multidisciplinary freshman core program focusing on the improvement of student reasoning abilities. For each of the six DOORS courses--English,…