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Early Mathematics Learning
(Englisch)
Selected Papers of the POEM 2012 Conference
Kortenkamp, Ulrich & Krummheuer, Götz

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Early Mathematics Learning

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Produktbeschreibung

Presents state-of-the-art research on early childhood mathematics education

Discusses starting points for research by providing open research questions

Focuses on the tension between instruction and construction of knowledge

Includes research on design of learning opportunities and development of mathematical thinking


Presents state-of-the-art research on early childhood mathematics education

Discusses starting points for research by providing open research questions

Focuses on the tension between instruction and construction of knowledge

Includes research on design of learning opportunities and development of mathematical thinking

Includes supplementary material: sn.pub/extras


Ulrich Kortenkamp is professor of mathematics and mathematics education at the University of Education Karlsruhe. His research interests lie at the interface between mathematics, computer science and didactics of the sciences. Götz Krummheuer is a professor in the department of mathematics at the Institute for the Teachng of Mathematics at the University of Frankfurt, Germany.

This book will gather current research in early childhood mathematics education. A special focus will be the tension between instruction and construction of knowledge. The book includes research on the design of learning opportunities, the development of mathematical thinking, the impact of the social setting and the professionalization of nursery teachers.

Table of Contents

0-1 Introduction

Christiane Benz, Birgit Brandt, Ulrich Kortenkamp, Götz Krummheuer,  Silke Ladel and Rose Vogel       

0-2 A dance of instruction with construction in mathematics education

Norma Presmeg

1-1 It is quite confusing isn´t it? – Implications of a National policy on mathematics teaching on the dance of instruction and construction of knowledge in the teaching of place value through manipulatives

Judy Sayers and Patti Barber

1-2 Mathematical teaching moments: between instruction and construction

Troels Lange, Tamsin Meaney, Eva Riesbeck, Anna Wernberg

1-3 "I have a little job for you” – Instructional practices in interaction processes between kindergarten teachers and young children in Germany

Birgit Brandt

1-4 The Relationship between cultural Expectation and the local Realization of a Mathematics learning Environment

Götz Krummheuer

1-5 The Reflection of Spatial Thinking on the Interactional Niche in the Family – Interactional Niche in the Development of Mathematical Thinking (NMT) in Familial Situations   

Ergi Acar Bayraktar

2-1 The Roots of Mathematising in Young Children´s Play Bert van Oers

2-2 Non-canonical Solutions in Children-Adult Interactions—A Case Study of the Emergence of Mathematical Creativity

Melanie Münz

2-3 The Interplay between Gesture and Speech - Second Graders solve Mathematical Problems 

Melanie Huth

2-4 Children´s Constructions in the Domain of Geometric Competencies (in two different instructional settings)

Andrea Simone Maier, Christiane Benz

2-5 Identifying quantities – Children´s constructions to compose collections from parts or decompose collections into parts

Christiane Benz

3-1 Children´s engagement with mathematics in kindergarten mediated by the use of digital tools

M. Carlsen, I. Erfjord, & P. S. Hundeland

3-2 Mathematical Situations of Play and Exploration as an Empirical Research Instrument           

Rose Vogel

3-3 Number concepts — processes of internalization and externalization by the use of multi-touch technology

Silke Ladel and Ulrich Kortenkamp

4-1 Intentional Teaching: Integrating the Processes of Instruction and Construction to Promote Quality Early Mathematics Education

Jie-Qi Chen and Jennifer McCray

4-2 Professionalization of Early Childhood Educators with a Focus on Natural Learning Situations and Individual Development of Mathematical Competencies: Results from an Evaluation Study   19

Hedwig Gasteiger

4-3 Employing the CAMTE framework: Focusing on preschool teachers´ knowledge and self-efficacy related to students´ conceptions

Pessia Tsamir, Dina Tirosh, Esther Levenson, Michal Tabach, Ruthi Barkai

4-4 Early enhancement of kindergarten children potentially at risk in learning school mathematics – Design and quantitative findings of an intervention study

Andrea Peter-Koop, Meike Grüßing



This book will gather current research in early childhood mathematics education. The book includes research on the design of learning opportunities, the development of mathematical thinking, the impact of the social setting and the professionalization of nursery teachers.
Gathering current research in early childhood mathematics education, this book focuses on tension between instruction and construction of knowledge. Covers development of mathematical thinking, the impact of social setting and professionalization of teachers.
This book will gather current research in early childhood mathematics education. A special focus will be the tension between instruction and construction of knowledge. The book includes research on the design of learning opportunities, the development of mathematical thinking, the impact of the social setting and the professionalization of nursery teachers.
Instruction and Construction: Integrating Both Processes to Promote Quality Early Mathematics Education.- A Dance of instruction with construction in mathematics education.- The Roots of Mathematising in Young Children.- The first Discernment into the NMT-Family.- Developing Critical Thinking Skill in Mathematics Education.- Identifying quantities of representations - Children using structures to compose collections from parts or decompose collections into parts.- What kind of challenges do teacher students encounter with respect to kindergarten mathematics?.- A pilot Study of Exam Papers.- Reconstruction of folk pedagogy in interaction processes.- Children's engagement with mathematics in kindergarten mediated by the use of digital tools.- Professionalization of Early Childhood Educators with a Focus on Natural Learning Situations and Individual Development of Mathematical Competencies.- Reconstruction of conjunctive realms of experiences in early learning processes.- The Interplay Between Gesture and Speech - Second Graders Solve Mathematical Problems.- Nice text by problem posing - two samples with many challenges.- The Relationship between cultural Expectation and the local Realization of a Mathematics learning Environment.- Early maths with multi-touch - an activity-theoretic approach.- How one preschool teacher recognises mathematical teaching moments.- Development of Geometric Competencies - Children's Conception of Geometric Shapes in England and Germany.- The elements of mathematical creativity and the function of the attachment style in early childhood.- Early enhancement of kindergarten children potentially at risk in learning school mathematics.- It is quite confusing isn't it?.- Preschool children's performance and self-efficacy on mathematical and non-mathematical tasks.- Preschool teachers' knowledge and self-efficacy regarding counting and enumerating tasks.- Conceptualizing preschool teachers' knowledge andself-efficacy for teaching mathematics: The CAMTE framework.- Mathematical Situations Of Play And Explorations As An Empirical Research Instrument.- Play-based mathematics in kindergarten.


Über den Autor



Ulrich Kortenkamp is professor of mathematics and mathematics education at the University of Education Karlsruhe. His research interests lie at the interface between mathematics, computer science and didactics of the sciences. Götz Krummheuer is a professor in the department of mathematics at the Institute for the Teachng of Mathematics at the University of Frankfurt, Germany.


Inhaltsverzeichnis



¿Instruction and Construction: Integrating Both Processes to Promote Quality Early Mathematics Education.- A Dance of instruction with construction in mathematics education.- The Roots of Mathematising in Young Children.- The first Discernment into the NMT-Family.- Developing Critical Thinking Skill in Mathematics Education.- Identifying quantities of representations - Children using structures to compose collections from parts or decompose collections into parts.- What kind of challenges do teacher students encounter with respect to kindergarten mathematics?.- A pilot Study of Exam Papers.- Reconstruction of folk pedagogy in interaction processes.- Children's engagement with mathematics in kindergarten mediated by the use of digital tools.- Professionalization of Early Childhood Educators with a Focus on Natural Learning Situations and Individual Development of Mathematical Competencies.- Reconstruction of conjunctive realms of experiences in early learning processes.- The Interplay Between Gesture and Speech - Second Graders Solve Mathematical Problems.- Nice text by problem posing - two samples with many challenges.- The Relationship between cultural Expectation and the local Realization of a Mathematics learning Environment.- Early maths with multi-touch - an activity-theoretic approach.- How one preschool teacher recognises mathematical teaching moments.- Development of Geometric Competencies - Children's Conception of Geometric Shapes in England and Germany.- The elements of mathematical creativity and the function of the attachment style in early childhood.- Early enhancement of kindergarten children potentially at risk in learning school mathematics.- It is quite confusing isn't it?.- Preschool children's performance and self-efficacy on mathematical and non-mathematical tasks.- Preschool teachers' knowledge and self-efficacy regarding counting and enumerating tasks.- Conceptualizing preschool teachers' knowledge andself-efficacy for teaching mathematics: The CAMTE framework.- Mathematical Situations Of Play And Explorations As An Empirical Research Instrument.- Play-based mathematics in kindergarten.


Klappentext

¿This book will gather current research in early childhood mathematics education. A special focus will be the tension between instruction and construction of knowledge. The book includes research on the design of learning opportunities, the development of mathematical thinking, the impact of the social setting and the professionalization of nursery teachers.¿




Presents state-of-the-art research on early childhood mathematics education

Discusses starting points for research by providing open research questions

Focuses on the tension between instruction and construction of knowledge

Includes research on design of learning opportunities and development of mathematical thinking

Includes supplementary material: sn.pub/extras

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