International perspectives on the teaching and learning of geometry in secondary schools

著者

• Herbst, Patricio
• Cheah, Ui Hock
• Richard, Philippe R.
• Jones, Keith

書誌事項

International perspectives on the teaching and learning of geometry in secondary schools

Patricio Herbst ... [et al.], editors

（ICME-13 monographs / Series editor Gabriele Kaiser）

Springer, c2018

• : [hbk.]

注記

Includes bibliographical references and index

Other editors: Ui Hock Cheah, Philippe R. Richard, Keith Jones

内容説明・目次

内容説明

This book presents current perspectives on theoretical and empirical issues related to the teaching and learning of geometry at secondary schools. It contains chapters contributing to three main areas. A first set of chapters examines mathematical, epistemological, and curricular perspectives. A second set of chapters presents studies on geometry instruction and teacher knowledge, and a third set of chapters offers studies on geometry thinking and learning. Specific research topics addressed also include teaching practice, learning trajectories, learning difficulties, technological resources, instructional design, assessments, textbook analyses, and teacher education in geometry. Geometry remains an essential and critical topic in school mathematics. As they learn geometry, students develop essential mathematical thinking and visualization skills and learn a language that helps them relate to and interact with the physical world. Geometry has traditionally been included as a subject of study in secondary mathematics curricula, but it has also featured as a resource in out-of-school problem solving, and has been connected to various human activities such as sports, games, and artwork. Furthermore, geometry often plays a role in teacher preparation, undergraduate mathematics, and at the workplace. New technologies, including dynamic geometry software, computer-assisted design software, and geometric positioning systems, have provided more resources for teachers to design environments and tasks in which students can learn and use geometry. In this context, research on the teaching and learning of geometry will continue to be a key element on the research agendas of mathematics educators, as researchers continue to look for ways to enhance student learning and to understand student thinking and teachers' decision making.

目次

Section 1: Mathematical, Epistemological, and Curricular Perspectives.- Thinking About The Teaching Of Geometry Through The Lens Of Geometrical Work And Geometrical Paradigms Alain Kuzniak Epistemological Features Of A Constructional Approach To Regular 4-Polytopes Stephan Berendonk and Marc Sauerwein Geometry Opportunites For Reasoning And Proof In Secondary School Textbooks In Trinidad And Tobago Andrew A. Hunte Enacting Functions From Geometry To Algebra Scott Steketee and Daniel Scher Section 2: Studies of Geometry Instruction and Teacher Knowledge Examining The Work Of Teaching Geometry As A Subject-Specific Phenomenon Patricio Herbst, Nicolas Boileau, and Umut Gursel Creating Profiles Of Geometry Teachers' Pedagogical Content Knowledge Agida G. Manizade and Dragana Martinovic Symbiosis Between Subject Matter And Pedagogical Knowledge In Geometry Mohan Chinnappan, Bruce White, and Sven Trenholm Designing Instruction Towards Mathematical Literacy In Geometry: A Case Study Ui Hock Cheah Minding the Gap: A Comparison Between Pre-Service and Practicing High School Geometry Teachers' Geometry Teaching Knowledge Shawnda Smith Some Notes On Teaching Geometry In Secondary School: A Teacher Training Experience Alejandra Almiron, Susana Ammann, Fernando Bifano, Rosa Ferragina, Gema Fioriti, Leonardo Lupinacci, and Jose Villella. Section 3: Studies of Geometry Thinking and Learning Exploring Models Of Secondary Geometry Achievement Sharon L. Senk, Denisse R. Thompson, Yi-Hsin Chen, and Kevin J. Voogt Connectedness Of Problems And Blockage Resolution In The Solving Process: A Major Educational Challenge Josep Fortuny, Michel Gagnon, and Philippe Richard The Use Of Writing As A Metacognitive Tool In Geometry Learning Luz Graciela Orozco Vaca Development Of Spatial Ability Results From The Research Project Geodikon Guenter Maresch Middle School Students' Use Of Property Knowledge And Spatial Visualization In Reasoning About 2D Rotations Michael T. Battista and Leah M. Frazee Aspects of Spatial Thinking In Problem Solving: Focusing On Viewpoints In Constructing Internal Representation Mitsue Arai Engaging Students with Non-Routine Geometry Proof Tasks Michelle Cirillo Playing With Geometry: An Educational Inquiry Game Activity Yael Luz and Carlotta Soldano Differences In Self-Reported Instructional Strategies Using A Dynamic Geometry Approach That Impact Students' Conjecturing Brittany Webre, Shawnda Smith, and Gilbert Cuevas Conclusion The Editors

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BC03586932
• ISBN:
  • 9783319774756
• LCCN: 2018934401
• 出版国コード: sz
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Cham
• ページ数/冊数: vi, 386 p.
• 大きさ: 25 cm
• 親書誌ID:
  • BB2472528X