The Book's Public Mission

This flow follows the work as a proposed educational instrument intended for classrooms public instruction and wider intellectual access.

increasingBearing stren­gth in each eventdecreasing

Public Instruction

Public Instruction Wider Access The author imagines geometry taught efficiently to classes rather than reserved for a few advanced students. Coloured diagrams allow an instructor to address many eyes at the same instant. Social Promise The classroom becomes the place where mathematical reasoning can be distributed on a broad scale.

Chalk and Pencil

Chalk and Pencil Practical Materials Dyed chalk is recommended for schools and coloured pencils for private study. The method is therefore designed as a working practice rather than a purely theoretical innovation. Reproducibility Its success depends on ordinary teachers being able to recreate the visual system.

Female Education

Female Education Expanding Curriculum The author notes that mathematics is becoming part of sound female education. He presents visual geometry as especially attractive for learners who might be discouraged by formal exposition. Cultural Argument The passage connects method with the widening social reach of mathematical study.

Mass Mathematical Literacy

Mass Mathematical Literacy A Large Audience The author argues that a thousand learners can receive the same visual and auditory instruction as one. This makes geometry a candidate for broad popular education. Intellectual Citizenship The desired result is not memorized information but a population trained in orderly thought.

Classroom Concentration

Classroom Concentration Shared Attention Colours let an instructor identify a common object immediately for everyone in a class. Students need not decode separate letter sequences before understanding the reference. Reduced Confusion The classroom becomes more concentrated because sight and speech point toward the same mathematical part.

in the opening paragraphs of the introduction

near the conclusion of the introduction

in the final educational appeal of the introduction

at the final paragraph of the introduction

during the explanation of oral demonstrations