Math Resources (Geometry)

Created by Stephanie Burke (Acadia University)

 

On this resource website the user will discover a variety of resources pertaining to elementary geometry for students and teachers alike. This website includes resources that are both books and websites from the Internet. The user will find everything from solids and shapes to area and volume.

 

The following resources are books about various geometry related concepts:

 

Title – Squares: Shapes in Math, Science, and Nature by Catherine Sheldrick Ross

 

This resource is a book all about squares. Included in this resource is everything the elementary school teacher needs to know about squares. The pages provide colourful illustrations and easy to follow directions to hands-on activities for students between the ages of 9 and 14. Some of the topics that are included in this book are as follows: area of a square, square numbers, prisms and anti-prisms, cubic architecture. This book also includes a link to literature, for example children can learn about the Delian cube legend.  Also included in this book is a glossary of terms, which is very helpful. This resource is included because it gives the classroom teacher a solid base to begin a geometry unit. It provides the classroom teacher with fresh ideas and a means for understanding the concepts to introduce to the children. It also gives the teacher a range of grade levels to choose from. The teacher can easily find enrichment activities for students.

 

The next eight books are a series of resources that cover the concepts of geometry in an organised, easy to understand manner. This series of resources provides activities in the form of puzzles, games and hands-on learning activities.

 

Title – Let’s Investigate Shapes by Marion Smoothey

 

This resource is a book all about shapes. Included in this resource are many ideas for teachers to introduce the concept of shapes. The pages provide colourful illustrations and easy to follow directions for activities, games, and puzzles. This book looks at shapes from the perspective of the everyday world allowing children to relate this math concept to their everyday lives. Some of the topics included in this book are as follows: shapes from circles, shapes from straight lines, polygons (names of polygons, regular polygons, convex polygons), and the tangram. This book also includes a glossary of terms. This resource is included because it gives the classroom teacher great ideas for getting the class started on an introduction to shapes in geometry.

 

Title – Let’s Investigate Quadrilaterals by Marion Smoothey

 

This resource is a book all about quadrilaterals. Included in this resource are many ideas for teachers to introduce the concept of quadrilaterals. Teachers and students will enjoy learning about the quadrilateral through fun-filled hands-on activities, games, and puzzles. Some of the topics included in this resource are as follows: parallel lines, angles in quadrilaterals, tiling patterns with quadrilaterals, and folds, cuts and quadrilaterals. This book also includes a glossary of terms related to quadrilaterals. This resource is included because it gives the classroom teacher a variety of activities to choose from related to the quadrilateral.

 

Title – Let’s Investigate Triangles by Marion Smoothey

 

This resource is a book all about triangles. Included in this resource are many ideas for teachers to introduce the concept of triangles. Teachers and students can participate in a variety of activities, games, and puzzles related to triangles. Some of the topics included in this resource are as follows: naming triangles and angles, kinds of triangles, degrees in a triangle, constructing triangles, right-angled triangles, and congruent triangles. This book also includes a glossary of terms. This resource is included because it provides the classroom teacher with an assortment of options for teaching constructively the concept of triangles.

 

Title – Let’s Investigate Solids by Marion Smoothey

 

This resource is a book all about geometric solids. Included in this resource are many ideas for teachers to introduce the concept of solids. Teachers and students will discover a wide assortment of activities, games, and puzzles related to geometric solids. Some of the topics included in this resource are as follows: faces, edges, and vertices, cubes, nets, prisms, polyhedra, the sphere, and cross sections. This book also contains a glossary of terms. This resource is included because it provides the classroom teacher with a large selection of teaching tools and diagrams related to geometric solids.

 

Title – Let’s Investigate Shape Patterns by Marion Smoothey

 

This resource is a book all about shape patterns in geometry. Included in this resource are many ideas for teachers to introduce the concept of shape patterns. Many of the activities in this book are in the form of games and puzzles, and hand-on learning activities. Some of the topics included in this resource are as follows: fun with grids, ways of making patterns, lines of symmetry, rotational symmetry, reflections, and tessellations. This book also contains a glossary of terms. This resource is included because it provides the classroom teachers with many suggestions for introducing the student to the exciting world of shape patterns.

 

Title – Let’s Investigate Circles by Marion Smoothey

 

This resource is a book all about circles in geometry. Included in this resource are many ideas for teachers to introduce the concept of circles. Many of the activities in this book are in the form of games and puzzles. The book also contains detailed easy to follow instructions and a list of all the items the students need to complete the activities. Some of the topics included in this resource are as follows: parts of the circle, circle patterns, circles and symmetry, the Greeks and the magic of Pi, and the area of a circle. This book also contains a glossary of helpful terms. This resource is included because it provides the classroom teacher with great activities and helpful hints for effective teaching on the concept of circles.

 

Title – Let’s Investigate Angles by Marion Smoothey

 

This resource is a book all about angles. Included in this resource are many ideas for teachers to introduce the concept of angles. Activities come in many interactive forms such as games and puzzles that children can experiment with. Some of the topics in this resource include the following: Making turns, lines and angles, measuring degrees in angles, estimating angles, and calculating angles. This book has brightly coloured illustrations and easy to follow instructions and diagrams for both the teacher and student. This book also contains a glossary of helpful terms. This resource is included because it provides the classroom teacher with constructive and creative suggestions for teaching about the concept of angles.

 

Title – Let’s Investigate Area and Volume by Marion Smoothey

 

This resource is a book all about area and volume. Included in this resource are many ideas for teachers to introduce the concept of area and volume. The activities in this book are structured in any easy to learn, fun and creative format. Children and teacher a like will learn about area and volume problem solving and hands-on activities. Some of the topics included in this resource are as follows: Comparing areas, same area/ different shape, calculating the area of rectangles, parallelograms and triangles, calculating volume, and surface area. This book also contains a glossary of terms. This resource is included because it provides teachers with a solid basis to introduce the concepts of area and volume.

 

Title – Geometry for Every Kid by Janice VanCleave’s

 

This resource is a book that contains many concept areas in geometry for the classroom teacher. All of the activities in this book are divided into a purpose; list of materials, and easy to follow instructions, as well as, suggested results in terms children can understand. This resource contains the following topics: identifying lines, segments and rays, measuring angles of straight-sided figures, identifying intersecting, parallel, and perpendicular lines, identifying quadrilaterals, determine different ways polygons can fit together, and much more. This resource has a wonderful glossary of terms about geometry. This resource is included because it provides teachers with a wide variety of concepts within one resource about geometry.

 

The following resources are websites on various concepts in geometry:

 

http://forum.swathmore.edu/students/elem/probs.html and http://forum.swarthmore.edu/library/topics/geometry/

 

These two websites are an excellent resource for the elementary school teacher and students. Teachers and students will find an interactive Internet library that allows the user to find specific information about any topic related to mathematics and specifically geometry. This website also includes problems and puzzles for elementary students between the grade levels Prek-2 and 3-5.  The user can search the Internet library by activity, topic, and grade level. Some of the specific concepts about geometry include affined, algebraic, analytical, computational, convex, discrete, differential, Euclidean, and transformational geometry.

 

http://www.olemiss.edu/mathed/survey.htm

 

This is a useful web site for both students and teachers. When a student visits this website, they have the opportunity to express what they know about the topic of geometry in the form of a survey. Students will be asked what they think geometry is, why they study geometry in school, and what they can do with geometry in real life.

 

http://math.rice.edu/~lanius/Geom/his.html

 

This website is an excellent resource as a literature link for geometry. Teachers and students will discover information about the history of geometry from the Egyptians, Babylonians, and Greeks. The user will also discover interesting links about hidden polygons, school-bus geometry, volume, and NCTM Standards. This website offers an alternative to the problem solving aspect of geometry.

 

References

 

Smoothey, M. (1993) Let’s Investigate Circles. Marshall Cavendish Corporation,

        New York (found at Sackville Public Library, call number J 516.184)

Smoothey, M.  (1993) Let’s Investigate Shape Patterns. Marshall Cavendish Corporation

        New York (found at Sackville Public Library, call number J 516.15)

Smoothey, M.  (1993) Let’s Investigate Solids. Marshall Cavendish Corporation

        New York (found at Sackville Public Library, call J 516.23)

Smoothey, M.  (1993) Let’s Investigate Quadrilaterals. Marshall Cavendish Corporation

        New York (found at Sackville Public Library, call J 516.15)

Smoothey, M.  (1993) Let’s Investigate Shapes. Marshall Cavendish Corporation

        New York (found at the Sackville Public Library, call J 516.15)

Smoothey, M  (1993) Let’s Investigate Triangles. Marshall Cavendish Corporation

         New York (found at the Sackville Public Library, call J 516.22)

Smoothey, M.  (1993) Let’s Investigate Area and Volume. Marshall Cavendish

        New York (found at the Sackville Public Library, call number J 516.23)

Smoothey, M.  (1993) Let’s Investigate Angles.  Marshall Cavendish Corporation

        New York (found at the Sackville Public Library, call number J 516.13)

Sheldrick Ross, C. (1996) Squares in Math, Science, and Nature. Kids Can Press Ltd.

        Toronto, Canada (found at the Sackville Public Library, J 516.13)

VanCleave, J.  (1994) Geometry for Kids. John Wiley & Sons Inc New

        York (found in the Sackville Public Library, J 516)