@ ‘@ 2 ’ oe VOLUME XI, NUMBER 15 #8 INNOVATION ABSTRACTS PUBLISHED.BY THE NATIONAL INSTILUTE FOR'STAFF AND ORGANIZATIONAL DEVELOPMENT, THE UNINERSITY OF TEXAGAT A Teale A EROM THEW. BK: KELLOGG FOUNDATION AND THE SID'W. RICHARDSON FOUNDATION An Experiment with Freshman Education Majors in a College Mathematics Course Teaching mathematics in the elementary classroom is a skill/art to be developed during all four years of a student's undergraduate education. Too often, educa- tion majors are not well-equipped with good mathemat- ics teaching techniques. Many times these future teachers admit that, “Math is not my favorite subject,” or worse, “I never was very good at math.” These comments—together with my own personal observa- tions of algebra, statistics, and calculus students who were able to solve an equation, calculate a descriptive measure, or differentiate a function only to get bogged down when a fractional root required checking—led me to speculate about their basic skills in arithmetic. Educators and psychologists, whose theories on maturation and development stress “readiness” for toilet training, reading, and a myriad of other skills, lead mathematicians to speculate on the optimum age for learning various mathematics skills. For example, one might wonder if the age and grade level for the understanding of the concept of fractions is appropri- ately placed in the curriculum. As a mathematics instructor at Burlington County College, I (with the support of a faculty fellowship) developed and introduced a new module into our mathematics course for education and liberal arts majors. This pilot program was designed to place future teachers in the classroom of a master elementary teacher who was conducting a lesson on any facet of rational numbers (a topic which we cover in our text). These college freshmen were to observe the teacher and class; answer a checklist; and design a visual, work- sheet, or handout appropriate to the lesson observed. (Provision was made for students who were not educa- tion majors. These students and | agreed upon a mutually-acceptable alternate assignment relating their major to the topic of rational numbers.) This classroom observation assignment was in addition to activities in our full syllabus and completely on the student’s own time. Anyone familiar with the profile of a community college student knows that he/ she typically works a part-time job while juggling classload and family responsibilities. Also, many commute to class by bus. Needless to say, I thought that this additional assignment would create problems for my students, but I felt strongly that their effort would be rewarded by an exciting exposure toa talented teacher role model. [Because this was an experiment and | fully anticipated that some students would be unable to fit this assignment into their busy schedules, I decided to assign only ten points of our 400-point grading system to this requirement. ] Each student requested the school he/she wished to visit, and I was to contact the principals. I had no idea that each student would choose a different school! My task proved to be very time-consuming. The principals, superintendents, and curriculum coordinators with whom I spoke were, to a person, very cooperative and professional. Some of our local elementary schools, | later discovered, are fairly inundated by similar re- quests from surrounding four-year institutions. Midway through the semester one student decided to do her “classroom observation.” At the subsequent class meeting she presented me with a big smile and a thick portfolio which she referred to as her “report.” That evening I was overwhelmed with the length, detail, and enthusiasm of this ten-point assignment. She included a very interesting three-page narrative of her observation (this was not required) and had devel- oped not one, but two, innovative games which could have been used for the lesson she observed. Sharing this report at our next class meeting served asa catalyst to the other students. Exciting things began to happen. Some students would seek me out, even on days when we had no class, to tell me about their “observation.” They apparently took my admonition to “dress appro- priately” to heart, and many very well-dressed students came directly from the elementary school to share their experiences with me. It soon became a habit for many of us to arrive a few minutes early to class so that we could discuss and share someone’s “observation.” We still hada very full syllabus of goals and objectives to cover, so these bits of sharing had to be brief. I continue to be delighted with the keen insights and comments from freshmen college students. [Note: A EDB 348, Austin, Texas 78712 THE NATIONAL INSTITUTE FOR STAFF Community College Leadership Program, AND ORGANIZATIONAL DEVELOPMENT (NISOD) The University of Texas at Austin