Learning at a distance from the source of instruction through textbooks and other media is distance learning. Robert Record wrote mathematics textbooks for the home learner of the sixteenth century. He used dialogue between Master and Scholar to present concepts and correct possible mistakes and misconceptions. (DC)

Trends in computer programing language design are described and children's difficulties in learning to write programs for mathematics problems are considered. Languages are compared under the headings of imperative programing, functional programing, logic programing, and pictures. (DC)

A description of De Morgan's life and work is followed with quotations of his thoughts and insights on the teaching and learning of mathematics. The purpose is to illustrate the sharpness of his ideas, his creative insights, and his wit for the enjoyment of the reader. (DC)

Why students have difficulty with a proof (such as Cantor's) is discussed, with the focus on proof by contradiction. Methods may fail due to the difficulty of the concept and lack of understanding of how students are thinking. (MNS)

Illustrated are how explorative assignments can help to expose and identify learning problems. Some assignments that address these problems and some techniques and benefits of using writing assignments are provided. (MNS)

Explores the relationship between high school students' beliefs about mathematics and their mathematical performance. Reports: (1) the students' attributions of success or failure; (2) perceptions of mathematics; (3) comparative views of school mathematics, English and social studies; (4) motivation; and (5) personal performance. A questionnaire…

The College Preparatory Mathematics: Change from Within Project (CPM) was created to develop a rich, integrated mathematics curriculum, based on the best current wisdom of how people learn and the mathematics needed in an era of computers, and involving teachers in materials development. (MKR)

The Core-Plus Mathematics Project (CPMP) is a four-year program emphasizing mathematical modeling, featuring full use of graphing calculators, building on the theme of mathematics as sense-making, and involving investigations of real-life contexts that lead to reinventing important mathematics. (MKR)

Relates one secondary geometry teacher's experiences learning and using the computer program "Geometer's Sketchpad." The article describes the program and provides examples of ways this teacher uses it in combination with more traditional teaching tools. (SM)

Presents examples to illustrate how conditional probability statements can be used to introduce conditional probabilities, how early applications can be found in sports data, and how conditional probability can be related to data collection and presentation in two-way tables. (MKR)

A high school mathematics teacher designed an action research project to help students learn effective notetaking for studying and for organizing and remembering information. Fifty students completed questionnaires about their notetaking habits and ways to improve them. After discussing survey findings, students designed their own formats and…

Discusses the use of activities demonstrating connections between algebra and geometry, which helps students gain a conceptual understanding of important calculus ideas and gives a historical appreciation of how mathematics evolves. Uses distance, speed, and time problems as an example. (MKR)

Discusses what is meant by quality mathematics in school and how teachers can bring students to share this vision of a quality mathematics performance. (MKR)

Secondary level physical education teachers can have their students use math concepts while working out on the weight-room equipment. The article explains how students can reinforce math skills while weightlifting by estimating their strength, estimating their power, or calculating other formulas. (SM)

Uses probability models in problem-solving activities based on an episode of the television show "Gunsmoke." (MKR)