Enhancing Students' Ability and Interest in Geometry Learning Through Geometric Constructions

Enhancing Students' Ability and Interest in Geometry Learning Through Geometric Constructions

Author: Hoi-Cheung Leung

Publisher:

Published: 2017-01-26

Total Pages:

ISBN-13: 9781361295939

DOWNLOAD EBOOK

This dissertation, "Enhancing Students' Ability and Interest in Geometry Learning Through Geometric Constructions" by Hoi-cheung, Leung, 梁海翔, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. Abstract: Students nowadays are relatively confident in directly applying geometrical theorems and theories. Nevertheless, it has been a common phenomenon that students are not confident in constructing geometric proofs. They lack the confidence and sufficient experience and knowledge in conducting deductive geometrical proofs. To some students, they treat proofs simply as another type of examination questions which they can tackle by repeated drillings. Students make use of straightedges and compasses to construct different geometry figures in geometric constructions. Through geometric constructions, we can train our prediction and logical thinking skills when investigating the properties of geometric figures. Geometric constructions provide students with hands-on experience to geometry learning which requires students to have more in-depth thinking. This is an empirical study on the implementation of geometric construction workshops among junior secondary students in Hong Kong. Results have shown that students enjoyed the construction tasks during the workshops. Analysis has implied that geometric constructions help improve students' ability in constructing geometric proofs and to raise their interests in geometry learning. DOI: 10.5353/th_b4836774 Subjects: Geometry - Study and teaching (Secondary) - China - Hong Kong


Hands-On Geometry

Hands-On Geometry

Author: Christopher M. Freeman

Publisher: Taylor & Francis

Published: 2021-09-09

Total Pages: 84

ISBN-13: 1000500276

DOWNLOAD EBOOK

Put compasses into your students' hands and behold the results! Hands-On Geometry teaches students to draw accurate constructions of equilateral triangles, squares, and regular hexagons, octagons, and dodecagons; to construct kites and use their diagonals to construct altitudes, angle bisectors, perpendicular bisectors, and the inscribed and circumscribed circles of any triangle; to construct perpendicular lines and rectangles, parallel lines, and parallelograms; and to construct a regular pentagon and a golden rectangle. Students will enjoy fulfilling high standards of precision with these hands-on activities. Hands-On Geometry provides the background students need to become exceptionally well prepared for a formal geometry class. The book provides an easy way to differentiate instruction: Because the lessons are self-explanatory, students can proceed at their own pace, and the finished constructions can be assessed at a glance. Grades 4-6


Geometric Constructions

Geometric Constructions

Author: George E. Martin

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 210

ISBN-13: 1461206294

DOWNLOAD EBOOK

Geometric constructions have been a popular part of mathematics throughout history. The first chapter here is informal and starts from scratch, introducing all the geometric constructions from high school that have been forgotten or were never learned. The second chapter formalises Plato's game, and examines problems from antiquity such as the impossibility of trisecting an arbitrary angle. After that, variations on Plato's theme are explored: using only a ruler, a compass, toothpicks, a ruler and dividers, a marked rule, or a tomahawk, ending in a chapter on geometric constructions by paperfolding. The author writes in a charming style and nicely intersperses history and philosophy within the mathematics, teaching a little geometry and a little algebra along the way. This is as much an algebra book as it is a geometry book, yet since all the algebra and geometry needed is developed within the text, very little mathematical background is required. This text has been class tested for several semesters with a master's level class for secondary teachers.


Perspectives on the Teaching of Geometry for the 21st Century

Perspectives on the Teaching of Geometry for the 21st Century

Author: C. Mammana

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 353

ISBN-13: 9401152268

DOWNLOAD EBOOK

In recent years geometry seems to have lost large parts of its former central position in mathematics teaching in most countries. However, new trends have begun to counteract this tendency. There is an increasing awareness that geometry plays a key role in mathematics and learning mathematics. Although geometry has been eclipsed in the mathematics curriculum, research in geometry has blossomed as new ideas have arisen from inside mathematics and other disciplines, including computer science. Due to reassessment of the role of geometry, mathematics educators and mathematicians face new challenges. In the present ICMI study, the whole spectrum of teaching and learning of geometry is analysed. Experts from all over the world took part in this study, which was conducted on the basis of recent international research, case studies, and reports on actual school practice. This book will be of particular interest to mathematics educators and mathematicians who are involved in the teaching of geometry at all educational levels, as well as to researchers in mathematics education.


Geometric Graphics

Geometric Graphics

Author: Cathleen V. Sanders

Publisher:

Published: 2003-01-01

Total Pages: 115

ISBN-13: 9781559533966

DOWNLOAD EBOOK

Develop Geometry Skills with Design Projects This workbook of geometry projects helps students create designs from constructions using either The Geometer's Sketchpad or a compass and straightedge. As students get creative with geometry, they develop a better understanding of the concepts. Plus, these projects help you relate to students with differing learning styles. These construction projects: Relate to op art and geometry concepts such as polygons, fractals, symmetry, and transformations Help students visualize shapes and forms, apply their creativity to mathematics, and understand geometric relationships Are perfect for extra credit or as adjunct activities


The Second Handbook of Research on the Psychology of Mathematics Education

The Second Handbook of Research on the Psychology of Mathematics Education

Author: Ángel Gutiérrez

Publisher: Springer

Published: 2016-07-23

Total Pages: 571

ISBN-13: 9463005617

DOWNLOAD EBOOK

Since its establishment in 1976, PME (The International Group for the Psychology of Mathematics Education) is serving as a much sought after venue for scientific debate among those at the cutting edge of the field, as well as an engine for the development of research in mathematics education. A wide range of research activities conducted over the last ten years by PME members and their colleagues are documented and critically reviewed in this handbook, released to celebrate the Group’s 40 year anniversary milestone. The book is divided into four main sections: Cognitive aspects of learning and teaching content areas; Cognitive aspects of learning and teaching transverse areas; Social aspects of learning and teaching mathematics; and Professional aspects of teaching mathematics. The selection for each chapter of a team of at least two authors, mostly located in different parts of the world, ensured effective coverage of each field. High quality was further enhanced by the scrupulous review of early chapter drafts by two leaders in the relevant field. The resulting volume with its compilation of the most relevant aspects of research in the field, and its emphasis on trends and future developments, will be a rich and welcome resource for both mature and emerging researchers in mathematics education.


Study Material CSAT

Study Material CSAT

Author: YCT Expert Team

Publisher: YOUTH COMPETITION TIMES

Published:

Total Pages: 672

ISBN-13:

DOWNLOAD EBOOK

2022-23 CTET Study Material Solved Papers with Answer Key