Wilson's Discovering Geometry Guide
Aloha and Bienvenue,
Discovering Geometry is based on a constructivist approach to learning, that the student builds their understanding from observing and communicating patterns in a collaborative setting. Student will be asked to problem solve, develop critical thinking and reasoning skills, and create their own understanding of Euclidean geometry. This is an exciting class with lots of different labs, investigations, and explorations into plane shapes and solids.
The Discovering Mathematics series engages students by giving them an opportunity to investigate mathematics in cooperative groups. As they work, group members will learn to plan together, brainstorm, determine and organize tasks, and communicate their individual and collective results.
The instruction for a typical lesson includes these stages.
● Introduction. Set the context for the investigation, pose the problem, and make sure students understand the terminology. This introduction is called out in the teacher’s edition only when there is additional material that is not in the student book.
● Investigation. Students work on the multistep investigation in their book or on the one-step problem from the teacher’s edition while you observe, assess, encourage, and make plans for Sharing and summarizing the mathematics.
● Sharing. Selected students or groups share their findings with the class. You lead the asking of questions, elaborate on students’ ideas, and praise good work.
● Example(s). Lead the class through the examples, perhaps as they follow along with calculators or geometry tools. Or students might read the examples to themselves or with their groups. In some cases you might extend the solution using ideas from the teacher’s edition.
● Closing. Remind your students of the key mathematical concepts and where they arose in the lesson. At the beginning of the year when cooperative learning is new to your students, you might lead a quick discussion on how the groups are functioning, what they can improve, and what they do well.
● Exercises. Students begin to work on the homework exercises, either in groups or individually.
Geometry as creation...