Mathematics & Science Field Experience
Connecting Theory and Practice


Field Experience Case Study
Learning from What Children Show & Tell Us

Rational. As teachers, you will need to lean to be good observers and listeners of the students with whom you work in order to be able to assess their understanding of the concepts that you teach and to set your curricular goals. Knowing each child in your class as an individual is especially critical in early childhood education in which the goal is to address the developmental and learning needs of each child within a group. Additionally, being a good developmental and learning needs of each child within a group. Additionally, being a good observer and listener is important to that teacher who strives to be a “guide on the side” one who views each child as a learner who actively constructs mathematical and scientific concepts rather than as one who is a passive recipient of knowledge. This assignment is designed to help you develop your skills as a keen observer and listener of children.

Requirements. You will be writing a 4- to 6- page, word-processed, double-spaced, size 12-font case study of one child from your M201 field experience. Your paper should be written in a narrative or essay style rather than as a research paper. The focus of the paper is on how well a particular child understood the mathematical concepts that you present to her/him this semester. Additional supporting material/artifacts from your experience may be added to the paper (e.g., examples of children’s work, photographs, etc.), but this is in addition to the 4- to 6-pages of text. For a case study to be most effective, information about its subject(s) must be gathered over time. During your first visit to your M201 field placement site, you will be introduced to the small group of children with whom you will work for the remainder of the semester. Select at least two children in your group who interest you in some way. You will be writing this paper about ONE of these children, but it is safest to follow at least a two children in case one is not present at all lessons due to illness or other unforeseen circumstances.

What to Do

1. Begin your paper by explaining what your intentions are (what the purpose of the assignment/paper is) so that a reader who is not familiar with this assignment will be able to understand what you are writing about and why. It is important to briefly describe the context of the teaching situation (grade level, school, pseudo name of the teacher) and anything unique or special about the circumstances. In addition, it is important that you describe each lesson briefly so that the reader has an understanding of the tasks and what concept you were teaching.
2. Describe each child in detail in terms of their developmental level in all areas (specifically, emotional, social, physical, and cognitive development) as well as in terms of their interests and preferences. Look below for a link to "Prompts for Reflecting on Children" (or click here) to help guide you in this. Also, it is important to get the birth month and year and to record the dates that you observed the child or collected work from him/her. On each piece of data or information you collect, you should record the exact age of the child in years and months at the time to sampling.
3. To succeed with this assignment, you will need to keep a journal and write notes about your target child(ren) immediately after each field experience. Make sure you include specific quotes in your notes. If you don’t remember exactly what was said, record your quotes as closely as you can remember them. It is best to record this as a dialogue, indicating first what question or statement you said, followed by the child’s response.
4. If you have information about your student’s academic or home background, it is important in a case study to include this as well-if you believe this helps to explain the extent to which the child understands the concepts you are teaching. If you include background information, make sure you explain why you believe the information helps explain the child’s ability or inability to comprehend the content involved. Background information can be obtained through informal conversations with the children or you may want to ask the teacher. Although teachers cannot reveal confidential information, they may be able to give you general ideas about this child’s situation, past performance, or home-life that may help you better understand the child. Background information helps make a stronger case study and is optional.
5. Although comments about your child’s behavior may help the reader understand the context in which your teaching experiences took place, the focus of your report should be on the growth of the child’s mathematical understanding and not on the child’s behavior. Remember, the focus of this paper is on how well a child understood the concepts you presented to him/her, not how well you taught. You have an opportunity to reflect on your own ability or performance as a teacher in your personal learning journal—don’t include it in this paper.

In summary, you may structure your case study paper however you wish, AND you need to have the following elements: (a) context of setting; (b) developmental level of child; (c) brief description of the lessons or tasks you had your children do; and (d) specific examples/evidence collected that provides documentation of your child’s level of understanding about the content you presented. You may also include information about the child’s background and general behavior and you may attach specific samples of work or other artifacts. If you have never read a case study, I have copies of a case study of a boy in a combined 5th and 6th grade classroom [or see: Wasserman, S. (1993). Getting down to cases. NY: Teachers College Press.] A word of caution, not all of the elements that I am looking for in your case study exist in this example, but it is a good example of a case study in mathematics done on a single child. If you would like to see a sample of work that was similar to what I’ve assigned here, several high quality papers are on reserve in the School of Education Library under Kloosterman, E343. I recommend that you refer to Case Study Rubric when editing the final draft of your paper. Students often find it very useful to have another student from outside of education read their case studies and give you feed back about how clearly they have communicated, both what this assignment is all about, and the information about the target child. Also check to see that your paper meets my high standards—review the Writing Tips before handing it in.

Grading Rubric. NOTE: Due dates and project points will be decided on jointly during the first class meetings. Once the decision is made, a grade rubrics for this assignment will be posted here.

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Created by Judith Longfield, August 1999
Last updated: September 13, 2003
URL: http://mypage.iu.edu/~e343long/ m201/case_study.html
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