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Description
Did you know that one of the ideal manipulatives for geometric investigations is patty paper? It is semi-transparent, holds a crease, and can be writen on with pencil (plus you can use them to separate hamburgers). The author's chance encounter with patty papers in a paper-folding activity led to his use of them in the classroom, where he discovered they were the perfect solution for geometric constructions and explorations. He relates, "When patty paper activities started appearing in my workshops for teachers, I devoted a brief five minutes to them. Within months the number of patty paper activities grew until five minutes became ten, then fifteen, then thirty minutes. I now do three-hour patty paper geometry workshops! Caution: Patty paper geometry is addictive." This well-written book uses a discovery approach along with patty papers to investigate all of the basic geometric principles. These investigations are divided topically into sets such as "Special Points of Intersection" and "Properties of Circles". Within each set are both Guided Investigations and Open Investigations. Guided Investigations have step-by-step instructions with illustrations. Open Investigations encourage independent discovery and include lined spaces for students to record their findings. At the end of each set of investigations there are exercise sets to reinforce new concepts and review previously-learned concepts. Answers to all course exercises and questions are also included. Although student pages in the text are reproducible, a nicely formatted consumable student workbook is also available. It contains all of the open investigations and most of the exercise sets. We are also happy to be able to offer patty papers to use with this course (A big thanks to Hilary and Michael here for all the trouble they went through to locate and finalize arrangements to make this possible).
This course would be equally suitable for use as a supplement to a formal geometry course or as a pre-geometry text. If you are using Discovering Geometry as your basal text there will be some overlap, since that book also uses patty paper investigations throughout the course.
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Teaching Method
Traditional
Teacher-centered curriculum commonly used in classrooms that may include a text, teacher manual, tests, etc.
Charlotte Mason
A methodology based on the work of a 19th century educator who maintained that children learn best from literature (Living Books), not textbooks.
Classical
A methodology based on the Latin Trivium (three stages of learning), including the grammar stage (memorization and facts), logic stage (critical thinking), and rhetoric stage (developing/defending ideas).
Unit Study
A thematic or topical approach centered around one topic that integrates multiple subject areas.
Montessori (Discovery)
A methodology based on the work of a 20th century educator that emphasizes student and sensory-driven discovery learning and real-life applications.
Other
Other methodologies
Religious Content
Secular
Contains content contrary to common Christian beliefs (i.e. evolution).
Neutral
Avoids religious or theoretical topics or presents multiple viewpoints without preference.
Christian/Religious
Faith-based or including instructional religious content.
Learning Modality
Auditory
Learns through listening, talking out loud or reading out loud.
Visual
Learns through seeing, prefers written instructions and visual materials.
Kinesthetic/Tactile (Hands-On)
Learns through moving, doing and touching.
Multi-Sensory
Curriculum that employ a variety of activities/components.
Presentation
Sequential
Curriculum progresses through well-defined learning objectives. Emphasizes mastery before moving to the next topic.
Spiral
Topics and concepts are repeated from level to level, adding more depth at each pass and connecting with review.
Conceptual/Topical
Focus is on the “why,” often with a unifying concept as well as specific skills; coverage may be broader.
Teacher Involvement
Low Teacher Involvement
Student-led materials; parent acts as a facilitator.
Medium Teacher Involvement
A mix of teacher-led time and independent student work.
High Teacher Involvement
Teacher-led lessons; may utilize discussions, hands-on activities and working together.
Additional Materials Required
No other materials needed
Everything you need is included.
Other Materials Required
There are additional required resources that are a separate purchase.
Other Materials Optional
There are additional resources mentioned or recommended but are not absolutely necessary.
Consumable
Consumable
Designed to be written in; not reusable.
Non-Consumable
Not designed to be written in; reusable.