Learning Transformation Geometry (TG) needs a more informal approach to concern situational problems. This study aims to develop actionable knowledge of TG in the form of design related to context and yet general enough to use digital manipulative activities in new situations. We propose such knowledge in the form of conjectured Local…

The development of the constraint-referenced analytics tool for monitoring algebra learning activities presented here came from the desire to firstly, take a more quantitative look at student responses in collaborative algebra activities, and secondly, to situate those activities in a more traditional introductory algebra setting focusing on…

Methods are discussed for transforming sets of data so that properties of the scale used to obtain the data are preserved. A list of suggested activities is included. (MP)

This game offers an opportunity for students in grades 4-6 to sharpen their spatial skills and enrich their geometric experience. It presents such concepts as reflection, translation, and rotation (flip, slide, turn). Templates for the game are included. (MNS)

Geoboards are viewed as excellent vehicles for developing intuitive understandings of various topics in transformational geometry. The activities described are designed to show pupils that when a triangle or parallelogram is subjected to a transformation called a shear, its area is not changed. Ways for finding areas are detailed. (MP)

This pamphlet introduces the student to the basic ideas and procedures of transformational geometry through a series of worksheets. After developing intuitively the idea of rigid motion, vector diagrams are introduced, and translations are discussed in some detail. (SD)

Using mirrors mounted on a plywood base to study reflections provides an introduction to the study of transformation. (SD)

This article describes the functionality and use of a computer-based tool, called MultiMap, for investigating the properties of mappings of the plane onto itself. Examples are given of activities appropriate for mathematics students from middle school to college. (LZ)

Certain properties of lenses provide a physical model of the mathematical concepts of multiplication of integral numbers and of similarity transformations in geometry. Further, they can provide a realistic concrete representation for rules governing multiplication of signed numbers. Suggestions for problems and classroom demonstrations involving…

A series of lessons in which the concept of symmetry is informally developed is described. Rotational and reflection symmetries are examined. Pictures and sample worksheets illustrate the article. (SD)

Computers can be programmed to produce increasingly complex line drawings. Through programming activities students can learn the geometric principles involved. (SD)

In a classroom investigation of the teaching of transformation geometry, an attempt was made to generate aptitude-treatment interactions by using various teaching methods among groups of students. (CJ)

Beginning with a set of design cards and a rectangular grid, students can generate interesting and colorful designs using rotations, reflections, and translations. (SD)

Discussed is an application of number theory to cryptology that can be used with secondary school students. Background on the topics is given first, followed by an explanation for use of the topic. (MNS)

Transformations are defined and described through many examples. Teaching aids and activities for teaching about transformations are suggested. (JT)