Part 1: Math Methodology: Instruction

-stylistically sophisticated, using language that is precise and engaging, with a notable sense of voice and awareness of audience and purpose

Reflective Learning for Students

The Instruction Essay (Page 1 of 3) on this page contains the following subsections:

Acquiring and integrating knowledge

Students read Sweet Clara and the Freedom Quilt by Deborah Hopkinson, create a problems/solutions/events chart, and create a map with a key, compass, and landmarks surrounding their home and school.

Extending and refining knowledge

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addresses the needs of students with math difficulties and contains the following subsections:

-Maintains theme coherence throughout the essay.

White (2007) presented a novel way to test levels of understanding. He proposed writing two test questions on a topic, allowing students to choose only one of those to answer. The first is written for the knowledge and comprehension levels (e.g., key verbs: list, describe), and the second is written for the higher critical thinking levels of application, analysis, and synthesis. Points possible would be indicated for each, so that students would recognize that only those answering the second could be awarded maximum points toward an A+ grade. The option to choose enables the less able student to better demonstrate what he does know and perhaps earn a B grade, rather than risk failure because of an inability to demonstrate critical thinking. For either question, students could fail.

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provides an opportunity for pre-service and in-service educators to develop and hone their instruction and management skills using the safe environment of a virtual middle-school classroom, complete with props, whiteboards, and students.

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There is also a separate page which lists all of our .

Once students have decided on a topic for the essay and the teacher has approved it, the assignment along with a rubric will be given to each student in order to provide him/her with a structured guide so as to ease into the writing process.

Writing assignments should always be given to the students in writing with clear guidelines as to eliminate any confusion. Along with the assignment, as mentioned above, should appear a clear rubric so that the students may evaluate their own work prior to handing it in for a grade. This is not only fair, but gives the student an additional set of guidelines to refer to. Soven notes the importance of clear written assignments as well as rubrics. Rubrics have a double advantage for the teacher, as Soven notes: “These descriptions (rubrics for A-F papers) acknowledge the difficulty of devising a mechanical formula for assigning grades. Each description tries to account for a range of writing that can receive the same grade” (121).

Shown below is a reflective essay assignment. The rubric appears in Appendix B, p. 25. This rubric would be given to the participating students.

The Reflective essay assignment
Read the following quotes by reflective essay writer, Margaret Laurence:

“When one thinks of the influence of a place on one’s writing, two aspects come to mind. First, the physical presence of the place itself—its geography, its appearance. Second, the people. For me, the second aspect of environment is the most important, although in everything I have written which is set in Canada, whether or not actually set in Manitoba, somewhere some of my memories of the physical appearance of the prairies come in. I had, as a child and as an adolescent, ambiguous feelings about the prairies. I still have them, although they no longer bother me. I wanted then to get out of the small town and go far away, and yet I felt the protectiveness of that atmosphere, too. I felt the loneliness and the isolation of the land itself, and yet I always considered southern Manitoba to be very beautiful, and I still do. I doubt if I will ever live there again, but those poplar bluffs and the blackness of that soil and the way in which the sky is open from one side of the horizon to the other—these are things I will carry inside my skull for as long as I live, with the vividness of recall that only our first home can have for us.”

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Explore a unit of study through these engaging multiweek lessons.

Ball, D. L., Ferrini-Mundy, J., Kilpatrick, J., Milgram, R. J., Schmid, W., & Schaar, R. (2005). Reaching for common ground in K-12 mathematics education. Retrieved from