טכניון מכון טכנולוגי לישראל
הטכניון מכון טכנולוגי לישראל - בית הספר ללימודי מוסמכים  
Ph.D Thesis
Ph.D StudentMaor Sarah
SubjectMathematical Aspects in Architectural Design in Training
Practical Engineers
DepartmentDepartment of Education in Science and Technology
Supervisors Professor Igor Verner
Professor Shlomo Waks


Abstract

This thesis considers a Mathematical Aspects in Architectural Design course in an architecture college, which offers mathematical learning through hands-on practice in architecture design projects. The course focused on the analysis of geometrical forms and experiential learning activities in the design studio. It tackled the design process from three geometric complexity directions: tessellations, curve surfaces, and subdividing space by solids. In the first research stage two experienced practicing architects were interviewed. They described professional activities and mathematical needs in architecture design. In addition, relevant teaching methods based on context, visualization, heuristic and intuitive reasoning, algorithmic analysis, and reflection, were selected from educational literature. By means of integrating those with the ideas given by the architects, the course curriculum and learning activities were developed. In the second research stage the course was implemented and evaluated. The evaluation tools were observations, interviews, attitude questionnaire and projects portfolios. Projects' assessment criteria were developed and applied to portfolios' evaluation with regard to the content, design solutions and mathematics applications. The findings showed that students used a variety of mathematically-defined complex geometric shapes in all three design projects. Furthermore, results of the course follow-up pointed to a perception change realized in interest, challenge, motivation, self-learning and positive attitude towards integration of complex geometric shapes in architecture design. These findings lead to the conclusion that continuation of mathematics studies in the architecture education program is required, in order to assimilate mathematical terms and methods, and turn them into a practical tool in architecture design.