Starting to Use the Site
If You are a Teacher
If You are a Coordinator/teacher Leader or Teacher Educator
If You are a Prospective Teacher
Becoming a Reflective Practitioner

Starting to Use the Site
A good way to start using Reflections is to select a lesson on the Home Page. This takes you to a Lesson Page where you can get a sense of the lesson by reviewing the Lesson Plan, get a sense of the mathematics of the lesson by doing the Engaging in the Math activities, get a sense what the students accomplished by taking a look at some of the student work, and get a sense of the teacher and the school by viewing the set of video clips under About the Teacher.

Now you have the necessary background on the lesson to begin analyzing and reflecting on part of the mathematics, the teaching and the learning. To do this, select one of Reflective Topics – they pop up when your cursor passes over the word – for example, Questioning or Evidence that are abbreviations for the Critical Teaching Questions. Clicking on the topic takes you to the Work Page that contains a set of Reflective Tasks and Analyses that can be responded to and discussed after viewing the various video clips and other links that illuminate this topic.

An alternative approach is to select a reflective topic on the Home Page, for example, Teaching Decisions. Clicking on a topic takes you to a list of all the related Critical Teaching Questions in each of the 6 lessons. You can proceed question by question or grade by grade with the underlying Reflective Tasks and Analyses that can be responded to and discussed after viewing the various video clips and other links that illuminate this topic.

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If You are A Teacher
The Reflections Web site provides you with the opportunity to:

  • Critically observe videos of a colleague teaching;
  • Observe pre- and post-lesson discussions and note agreements, disagreements, and insights;
  • Engage in the reflective tasks and analyses and reflect on your responses and those of others;
  • Summarize findings in terms of personal modifications.

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If You are A Coordinator/Teacher Leader or Teacher Educator
The Reflections Web site provides you with the opportunity to:

  • Construct classes, seminars or other professional development experiences around the lessons and specific critical teaching questions;
  • Develop activities or assignments based on the reflective tasks;
  • Exemplify parts of the NCTM Standards (content, process, teaching) using the site.

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If You are a Prospective Teacher
The Reflections Web site provides you with the opportunity to:

  • Critically observe videos a colleague teaching;
  • Assess the complexities of teaching and the importance of careful planning;
  • Note and discuss the decisions being made and the implications of these decisions;
  • Summarize findings in terms of personal insights about teaching and about mathematics.

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Becoming a Reflections Practitioner
A primary goal of Reflections is to enhance your capacity to critically reflect on your practice. You can become more reflective about your practice before and after teaching lessons by pausing and asking questions like the following:

  • What am I trying to accomplish mathematically with this lesson?
  • What tasks will I provide to meet my goals for student learning?
  • What are the key questions that I will pose to help my students develop mathematical understanding, and why are these questions key?
  • Why am I teaching this content, and why am I teaching it in this way?
  • How do I create a classroom environment that fosters student engagement and learning?
  • How will I know whether my goals have been accomplished and whether my students have learned what I planned?

The array of analyses, reflective tasks based on others’ teaching, and personal reflections based on your own teaching is an excellent starting place for building the capacity to be a more reflective practitioner.

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