From Counting to Computing: Ideas for Mathematics Education in Information Age

From Counting to Computing demonstrates the powerful integration of formal mathematical reasoning, hands-on educational experiments, and digital computation to solve problems.It focuses on numeric tables shaped as squares, equilateral and isosceles triangles, offering ample opportunities for algebraic generalization in the digital age.Activities are grounded in addition and multiplication tables, polygonal numbers, and Pascal’s triangle.Based on the idea that counting objects arranged in geometric shapes leads to the development of numeric patterns, this book extends this concept to digital computing.Using technology-immune/technology-enabled didactical framework, it blends formal reasoning with digital computation in problem solving and provides a conceptual shortcut to achieving mathematically significant computational outcomes.From Counting to Computing covers classic topics from arithmetic, number theory, combinatorics, and probability theory.Many historical and cultural origins of