Title: An Investigation of Certain Abilities, Fundamental to the Study of Geometry (Classic Reprint)
Publisher: Forgotten Books
Publication Date: 2018
Language: English
ISBN 10: 0267982879
ISBN 13: 9780267982875
Binding: HRD
Condition: New
Weight: 397 grams

About this title

Synopsis

How four core abilities shape geometry learning and how teachers measure them

This study examines four key abilities believed to be fundamental to proving geometric theorems. It explains how each ability relates to classroom grades, how much these abilities develop in high school students, and how to diagnose weaknesses with targeted tests. The goal is to help educators see what to look for when judging student progress and to provide diagnostic tools that focus on concrete, testable skills.

The report describes a plan that includes five tests, four of which target distinct abilities and a fifth that checks the use of auxiliary lines in drawing. It explains how papers were collected from thousands of pupils across many schools, how marks were scored, and why separate positive and negative scores are kept. It also discusses limitations and how the results can guide changes in teaching and assessment.

What the four abilities are and how they relate to geometry performance
How the tests A–D measure drawing, recalling facts, and organizing information for proofs
Why Test E adds drawing auxiliary lines and how it complements the others
How school grades and real abilities align, and how this informs diagnosis

Ideal for readers of educational psychology, math teachers, and researchers who want practical methods to assess and improve students’ geometric thinking.

"About this title" may belong to another edition of this title.

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