Compendium for Early Career Researchers in Mathematics Education (2025)

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The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors, and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, expressed or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

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Bibliography of readings in mathematics education research from our seminar, 2010-2014, classified by topic.

ANNIE SELDEN, John Selden

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The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein.

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Teaching and Learning Mathematics Part 2. Perspectives 34

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Mathematics is not one of the main concerns in citizen lives, despite the will of many mathematicians and Mathematics teachers. However, most people have some contact with the discipline at some point in their lives, and, virtually, everybody agrees that some basic Mathematics knowledge is necessary to get by in day-today existence. Needless to say, Mathematics is, with no doubt, the one subject that creates at the same time enthusiasm and dissatisfaction in schools. Mathematics is an ancient Science. It existed long before it acquired a name and its origins go back at least to the time when human beings learned to count. It is also worth mentioning, as Galileo once said, that the Universe is written in mathematical language 2 , 1 Basically, this is a revised and updated version of the article by the same authors, "Teaching and Learning

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Connecting Mathematics and Mathematics Education

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use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made. The images or other third party material in this book are included in the book's Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the book's Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use.

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Staging of Mathematical Education

Yavich יביץ Roman רומן

The overwhelming majority of students are not good at Mathematics. The rest are called "mathematically gifted". But school and university Mathematics courses are understandable for an average student. The same concerns the other subjects. We suggest that teaching, learning and mastering a subject are stepwise processes and every step has its tasks and methodology of realization. Break of these step-by-step processes can lead to negative consequences. At the beginning of the teaching process the main task is to form the right attitude towards the subject, to overcome the perception of a subject as a formulary and a set of meaningless instructions. This is the main purpose of the first step, and knowledge, skills formation and factual material acquirement go second.

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Compendium for Early Career Researchers in Mathematics Education (2025)
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