Essays on Mathematical Reasoning : Cognitive Aspects of Mathematical Research and Education / Jerzy Pogonowski.

Format:

Book

Author/Creator:

Pogonowski, Jerzy, author.

Language:

English

Subjects (All):

Mathematics--Study and teaching.

Mathematics.

Physical Description:

1 online resource (118 pages)

Edition:

First edition.

Place of Publication:

Zürich, Switzerland : LIT Verlag GmbH & Co. KG, [2020]

Summary:

This book, part of the 'Development in Humanities' series, comprises four essays by Jerzy Pogonowski, focusing on cognitive aspects of mathematical reasoning and education. It explores themes such as the understanding of mathematical concepts, the pedagogical role of intuitive explanations, and the impact of historical mathematical mistakes. It also delves into the classification of mathematical objects as standard, exceptional, or pathological, and discusses the nature of intended and standard models in mathematical theories. The book is aimed at both experts in mathematics and cognitive science, as well as interested readers with sufficient competence in the subject. Generated by AI.

Contents:

Cover

Contents

Preface

Chapter 1 Intuitive explanations

Chapter 2 A note on famous mistakesin mathematics

Chapter 3 Standard, exception, pathology

Chapter 4 Intended and standard models.

Notes:

Description based on publisher supplied metadata and other sources.

Part of the metadata in this record was created by AI, based on the text of the resource.

Description based on print version record.

ISBN:

9783643963109

3643963106

OCLC:

1407316697