A one-degree angle would certainly be difficult to draw accurately, especially without the aid of other tools like a protractor. However, mentally making a one-degree angle in visualized imagination is not only possible, but it is important for students' emergent understandings of angular measure. When students begin learning about length,…

The Modelling Dance task is a mathematical modelling task that explores the relationship between mathematics and dance. The authors share the task sequence, adaptations made to support virtual implementation, and evidence of student learning related to learning goals.

The Trends in International Mathematics and Science Study (TIMSS) is one of the most influential assessments of student achievement conducted at regular interval every four years. It provides reliable data about the mathematics and science achievement of students in grade 4 and grade 8, as well as data that informs instruction, curriculum…

We explore the mathematics engagement of a group of mathematics coaches, working in k-12 mathematics education. The incenter of a triangle is used to derive an alternative formula for the area of a triangle inspired by Usiskin, Peressini, Marhisotto, and Stanley (2002).

Every object we think of or encounter, whether a natural or human-made, has a regular or irregular shape. In its own intrinsic conceptual design, it has elements of mathematics, science, engineering, and arts, etc., which are part of the object's geometric shape, form and structure. Geometry is not only an important part of mathematics, but it is…

Describes the fundamentals of dimensionality and the relationships of the elements in a four-dimensional coordinate system. Outlines a number of analogies between the elements and techniques for creating images of one-point perspective. Describes two of the ways in which realistic imagery can be used to illustrate the relationships in a…

Some topics in mathematics are unique because they can be explored by learners from the early grades through the advanced grades. An example of such a topic is polygon rings. Presents activities on polygon rings that integrate problem solving, reasoning, and communication. (Author/ASK)

Presents an activity in which students study mathematically the structure of the most perfect building ever created, the Parthenon. Focuses on the conic sections. (ASK)

Presents an activity on polyominoes and soma cubes in which students look for patterns. Presents the author's personal reflection on her practical teaching experiences as a student teacher. (ASK)

Presents hands-on activities to introduce the rhomboid and its parts. (ASK)

Presents an activity for weaving polyhedron shapes out of paper strips. (MVL)

This document describes a game that provides students with practice in recognizing the point symmetry of designs. It contains information on the objective of the game, game preparation, and rules for playing. Play cards are included (four to a page). (ASK)

Provides an illustrated presentation of tilings to argue that there is a positive relationship between the abstract structure of mathematics and the sensory reality of the world in which we live and move. Contains 12 references. (ASK)

Presents an activity in which students study geometrically the structure of tiling in a cafe in Bristol. (ASK)

Introduces problems on rhombuses and dodecagons and their solutions. Emphasizes the angles and symmetric features of these geometric figures. (ASK)