Presents mathematics activities focusing on explorations in the environment that include visual or geometric components. (ASK)

Geometric interpretations and derivations of the six trigonometric relationships are demonstrated. Selected for discussion are limiting values, geometric verification of trigonometric identities, a one-dimensional illustration of the Pythagorean relationships, and the geometric derivation of infinite-series relationships. (DE)

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)

This article describes how students (ages 8-16) with hearing impairments can use geoboards to develop perceptions about squares, including: pattern recognition, characteristics of squares, concepts of area and perimeter, and generalizations of those ideas. A step-by-step lesson plan and a student worksheet are provided. (CR)

Presents examples which help students think visually about algebraic operations on vectors and the associated mappings of the plane. The pictures help students actively participate in defining new functions by enabling them to compose simpler known functions. Conversely, functions can be factored into the composition of simple functions. (JN)

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)

An activity designed as an introduction to High School geometry empowering students to see relationships and make geometric connections. A list of student generated relationships based on student constructed and manipulated diagrams is included. Discussion guidelines are suggested. (DE)

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)

Teachers today are faced not only with oversized classes, but with students of varying abilities who differ in the ways they process information. The fostering of diverse styles of learning has been neglected in the teaching of mathematics. The use of journal writing as a vehicle for assessing students' understanding of material provides an…

Geometry is a fundamental part of the mathematics foundation provided by elementary education. Children have an intuitive understanding of geometry that they draw on when dealing with geometric concepts in activities like drawing, playing hopscotch, defending their "half of the room," and playing sports. This book offers no instruction…

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)

The Image Processing Technology Project explores the possibility of using digital image processing in mathematics and science education. Describes the origin of the project and reports the results of a 4-week teacher workshop that trained over 80 teachers in the techniques and technology of image processing. (MDH)

Describes journal writing as an element of multimodal teaching. Discusses how students utilize journal writing that includes pictures, numbers, symbols, and manipulatives to help understand mathematical concepts. Provides a form to evaluate students' portfolio writing and examples of students' evaluated work. (Contains 12 references.) (MDH)