**I-MATH**

**Interaction**

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**Investigation: **hands-on exploration of
mathematics - what can you discover? Where do your discoveries lead?
What connections are there?

**Interaction:**
collaboration with colleagues and with students - communicating,
questioning, listening, gaining knowledge and new ideas

**Illumination:** discovering principles,
connections and applications across the curriculum and in "real
life"; communicating what you have learned.

Students can also benefit greatly from opportunities to interact. When students work together, whether they are working on their homework, or on a collaborative project, they benefit from the interaction. Even just studying together for a test allows opportunities to question each other, share knowledge, and practice what they have learned. Working on creative projects in small groups gives students excellent chances to learn - particularly if the project allows exploration and experimentation. Allowing students to figure things out for themselves is a very valuable learning opportunity. Therefore projects which begin with hands-on investigative opportunities (with computers or with compasses, protractors, rulers, string, mirrors, etc.) allow the greatest opportunities for discussion, questioning, even arguing - a passionate argument about what is true can be the highlight of a math class!

This photo is from the NCTM web pages on implement the new Principles and Standards. To learn more about the NCTM, click on the link below:

While you are reading these I-MATH pages, think of ways in which your students can benefit from the activities that described here. Perhaps you will want to weave some of these activities into a fairly traditional mathematics classroom, or possibly find that you want to change many of the methods you have used in the past.

The key thought here is
** interaction**,
an ongoing and ever-changing exchange of ideas, questions, and
answers.