The ICMI Study 24 Discussion Document and its research questions for theme D focused our attention on drivers that have influenced changes in the school mathematics curriculum. These were addressed previous texts of Globalisation internationalisation, their impacts curriculum reforms. In Introduction, we identified “international curriculum”. Chap. 21 , examined evolving definitions numeracy ma...

Architecture as a designerly way of thinking and knowing is to interact with its environment. The manuscript is to speculate “interactive form-generation” based on high-performance architecture theory, and discuss the precursors and the potentials. The research aims to explore and determine the roots, aspects of interactive architecture as a part of performance-based design in contemporary arch...

Learning algorithmic thinking can start in early years and must be oriented on the thinking ability of young children. Suitable environments with tangible objects and easy to understand problems motivate the young to learn the first concepts of algorithms. We present in this paper a learning scenario Tim the Train for primary school children, that involves tangible objects and allows a variety ...

Algorithmic thinking and problem solving strategies are essential principles of computer science. Programming education should reflect this and emphasize different aspects of these principles rather than syntactical details of a concrete programming language. In this paper, we identify three major aspects of algorithmic thinking as objectives of our curricula: the notion of a formal language to...

The process of developing architectural forms has greatly been changed by advances in digital technology, especially in design tools and applications. In recent years, the advent of graphical scripting languages in the design process has profoundly affected 3D modeling. Scripting languages help develop algorithms and geometrical grammar of shapes based on their constituent parameters. This stud...

This paper demonstrates how philosophical thought can inform science, with reference to the interplay of causal and algorithmic thinking in Cognitive Science, Evolutionary Biology and other scientific enquiries. It is argued (touching briefly on the debate between Fictionalism and Realism regarding mathematics (Field 1989; Lewis 1991)) that algorithmic concepts (eg. substrate neutrality) are ma...