Not all children are made the same. Learning disabilities like dyslexia, dysgraphia or dyscalculia are either not understood or ignored in schools. As a result, the schoolchildren suffer for no fault of theirs and they lag behind in their course of learning. They may find it difficult to achieve the basic skills of learning such as reading,…

Argues for a mathematics education that interprets the word "theorem" in a sense that is wide enough to include the visual aspects of mathematical intuition and reasoning. Defines the term "visual theorems" and illustrates the concept using the Marigold of Theodorus. (Author/MDH)

Identifying the strengths of visual processing in high school mathematics is considered. The development of an instrument to assess mathematical processing is described. Then the kinds of visual imagery found in children in England and Natal are presented, along with difficulties and benefits experienced by visualizers. (MNS)

Explores the relationship between learners' actions, visualizations, and the means by which these are articulated. Describes a microworld called Mathsticks which is designed to help students construct mathematical meanings by forging links between the visual and symbolic representations they develop and their actions. Presents a case study of two…

Visualization is an effective technique for determining exactly what students must do to solve a mathematics problem. Pictures and charts can be used to help children understand which mathematics facts are present and which are missing--an important step toward problem solving. (PP)

Presents examples of visual representations helpful in understanding number relationships and the algebraic statements of these relationships. Suggests that these representations can be used by teachers to aid students in discovering number relationships and in acquiring meaning for given mathematical statements. (PK)

Presents activities to visually explore the algebraic concepts of variable, constant, the distributive property, and combining like terms. Presents four transparencies that use visual models to understand exercises in students perform the same mental calculations on a number of their choice and obtain the same result. (MDH)

Hypothesizes that exploring the mathematical ideas behind mathematical terms enables children to gain insight into the structure of a number system and provides a basis for powerful playing with this structure. Describes visualizing mathematical ideas for exploring aspects of mathematics. Offers rectangular numbers to link and explore structures…

Describes the Agam program, a 36-unit curriculum program to introduce students to basic visual concepts and that applies visual abilities and visual thinking to learning tasks. Describes two units at the third grade level, "Ratio and Proportion" and "Numerical Intuition," and makes observations of the students' learning. (MDH)

Reported are two separate but related longitudinal studies of two variables strongly associated with sex-related differences in mathematics achievement and enrollment, namely spatial visualization and confidence in learning mathematics. First, boys (N=33) and girls (N=36) in grades 6-8 who were discrepant in their spatial and verbal skills were…

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…