Arsalan Wares

Using Origami Boxes to Explore Concepts of Geometry and Calculus.

The purpose of this classroom note is to provide an example of how a simple origami box can be used to explore important concepts of geometry and calculus. This article describes how an origami box can be folded, then it goes on to describe how its volume and surface area can be calculated. Finally, it describes how the box could be folded to maximize the surface area and the volume.

An application of the theory of multiple intelligences in mathematics classrooms in the context of origami

The purpose of this paper is to illustrate how Howard Gardners theory of Multiple Intelligences may be applied in mathematics classrooms in the context of an origami project. The paper discusses an origami project and the mathematics behind the project. The paper finally uses the origami project to discuss how Howard Gardners theory of Multiple Intelligences and idea of entry points can be applied in mathematics classrooms to help students understand and appreciate mathematics [H. Gardner, Multiple Intelligences: New Horizons, Basic Books, New York, 2006].

Dynamic geometry as a context for exploring conjectures

ABSTRACT The purpose of this paper is to provide examples of ‘non-traditional’ proof-related activities that can explored in a dynamic geometry environment by university and high school students of mathematics. These propositions were encountered in the dynamic geometry environment. The author believes that teachers can ask their students to construct proofs for these propositions.

Mathematical thinking and origami

The purpose of this paper is to describe the mathematics that emanates from the construction of an origami box. We first construct a simple origami box from a rectangular sheet and then discuss some of the mathematical questions that arise in the context of geometry and calculus.

Using dynamic geometry to explore non-traditional theorems

The purpose of this article is to provide examples of ‘non-traditional’ theorems that can be explored in a dynamic geometry environment by university and high school students. These theorems were encountered in the dynamic geometry environment. The author believes that teachers can ask their students to construct proofs for these theorems. The Appendix contains proof outlines for each theorem.

Looking for Pythagoras between the folds

ABSTRACT The purpose of this short paper is to describe a new proof of the Pythagorean Theorem that involves paper folding.

Appreciation of Mathematics through Origami.

The purpose of this classroom note is to provide an example of how a simple origami box can be used to explore important mathematical concepts in geometry like surface area. This article describes how an origami box can be folded from a rectangular sheet of paper, then it goes on to describe how its surface area can be determined in terms of the dimensions of the rectangular sheet that was used to construct the box.

An unexpected property of quadrilaterals

ABSTRACT These notes discuss several related propositions in geometry that can be explored in a dynamic geometry environment. The propositions involve an unexpected property of quadrilaterals.

Constructive struggle in geometry classrooms

ABSTRACT The purpose of these notes is to provide examples of large-scale geometry problems that have the potential to promote constructive struggling in high-school geometry classrooms. These problems are suitable for being explored in a dynamic geometry environment. The notes also contain brief sketches of solutions to the two problems.

An interesting property of hexagons

ABSTRACT These notes discuss several related problems in geometry that can be explored in a dynamic geometry environment. The problems involve an interesting property of hexagons.