The basic design lesson is an introductory course that teaches students the fundamental principles of design, including elements such as form, space, scale, proportion, and composition. It is also an introduction to both concrete thinking and abstract one, which is rather about ideas and general thought. Abstraction is one of the steps ap- plied…

Digital design and fabrication tools obtain constraints affecting creativity in conceptual design phase. There is a necessity to have a better understanding of issues related to the rationalization process of form, material and fabrication. The objective of this paper is to integrate analogue craft into architectural design studio that can be…

Practical problem solving is not common in many mathematical classes in Malaysian upper secondary schools. Usually, students receive the mathematical concepts through abstract materials (students cannot see some of them in their daily life). Thus some students believe that 'mathematics is not necessary for human life'. In this article, the…

The relevance and feasibility of this study are determined by the absence of serious, scientific research, as well as teaching materials, when it comes to the use of Augmented Reality (AR) in teaching students and future teachers Descriptive Geometry, Engineering and Computer Graphics (DGECG). The purpose of the study is to examine the current…

This research aims to produce a Learning Trajectory Based Instruction (LTBI) that can help the ninth grade students understand the concept of congruence of the two-dimensional shape by examining Lawang Sewu as one of Central Java historical buildings. LTBI is defined as a teaching and learning trajectory that uses Hypothetical Learning Trajectory…

How do cross-bracing, geometry, and base isolation help buildings withstand earthquakes? These important structural design features involve fundamental geometry that elementary school students can readily model and understand. The problem activity, Designing an Earthquake-Resistant Building, was undertaken by several classes of sixth- grade…

This article presents an activity that allows students to use mathematics and critical-thinking skills to emulate processes used by the ancient Egyptians to prepare the site for the Pyramids of Giza. To accomplish this, they use three different methods. First, they create a square using only simple technological tools that were available to the…

Introduces a place of mathematics using a town called Amiens and its Cathedral whose overall floor plan was based on the Greek cross using proportions matching that of the ideal human body, the figures in the shape of an octagram or star octagon, and the symbols in the design. (ASK)

Humans are endowed with cognitive modules specialised in processing information about the class of natural things. Due to their naturalness, fractal art and design can contribute to developing these modules, and trigger affective responses that are associated with certain natural objects. It is argued that exposure to fractals in an art and design…

This paper examines how middle school students developed understanding of transformational geometry through design activities in Escher's World, a computationally rich design experiment explicitly modeled on an architectural design studio. Escher's World was based on the theory of pedagogical praxis (Shaffer, 2004a), which suggests that preserving…

In this unit of the Seeing and Thinking Mathematically series, students use geometry to analyze buildings from around the world, design and build their own house models, create plans for their designs, and build from each other's plans. Students start out the unit building with cubes and later move to other geometric shapes. As they learn to…

This article describes a unit of instruction designed to promote a conceptual understanding of area in sixth-grade students. Students used benchmarks to estimate the areas of real houses and calculated the areas of houses based on building plans. (Contains 7 figures.)

This updated reprint of a classic work presents design analysis of geometric patterns and information helpful to constructing mathematical drawings of industrial and achitectural features. Both simple and complex designs are given. Problems combine both algebra and geometry. The work is divided into six chapters which are further divided into…

Describes a popular seventh-grade mathematics project that involves house plans. Students choose house plans from books, transfer the plan to grid paper, and stake out the floor plan on a vacant area of the neighborhood. Project includes designing dream homes, researching jobs to afford their homes, and discussion of real-life concerns. (PVD)

In this unit, part of the Seeing and Thinking Mathematically in the Middle Grades series, students use mathematics to design and construct a model home from the ground up. Through the process of designing floor plans, constructing walls and roofs, and making cost estimates, students explore key concepts in geometry and measurement and engage in…