M377Z COURSE GUIDE—SPRING 2000 Mathematics: Monday’s and Wednesday’s, 1 PM - 2:20 PM, HGH 227 Fridays, 1 PM – 2:20 PM, HGH 204 OR a local elementary School site. INSTRUCTOR Dale Oliver TEXTBOOK Mathematics for Elementary School Teachers By Bassarear Be aware that I will supplement our textbook substantially. Make sure you receive a copy of all supporting materials throughout the semester. THE NATURE OF THE MATH 377 SERIES These courses are mathematics courses blended with exposure to and brief experiences with teaching mathematics in the elementary classroom. The primary goal of these courses is to improve, broaden, and deepen your facility with, appreciation for, and understanding of mathematics. The secondary goal is to help you to begin applying your strengthened mathematical understanding to the practice of teaching. Teaching elementary mathematics is anything but elementary. There are deep and significant mathematical ideas involved, and many subtleties in the development of elementary school students understanding of these ideas. Therefore, the Math 377 courses are primarily about the mathematics that teachers need to know to teach well. Just as in any other subject, this required knowledge is much deeper and extends much further than the topics taught in elementary schools. Thus, the topics of the courses support and extend the content expectations set forth by the California Content Standards in Mathematics, K-7 (February 1998). The Math 377 courses are not primarily about “The mathematics that kids need to know” or “methods for teaching elementary school mathematics.” However, what we teach and how we teach in mathematics in the primary, elementary, and middle grades will naturally be part of our classroom discussions. There is a significant writing component in these courses in which mathematical work is carefully organized, described, and analyzed. Writing in mathematics is a means to stimulate greater understanding, communication, and creativity in the subject area. The writing portions of assignments will also start you on your way to making the transition from learner to teacher in mathematics. COURSE EXPECTATIONS In this course you will engage in a wide variety of situations and contexts which give rise to the mathematical concepts essential for K-8 teaching. These concepts are significant in the mathematical world, so you should expect to find this a challenging college-level mathematics course. In class, we will often work in collaborative groups of 3 or 4 to stimulate dialogue between "hands-on" activity (physical activity with blocks, sticks, dice, paper, chips, etc.) and systematic inquiry (using physical and linguistic tools to communicate understanding, justify your thinking, and pose new problems). In your work outside of class, you may collaborate in groups of any size that you find productive, but you must turn in a personal report for each assignment. The best way to insure your successful completion of this course is to come to class and keep up with the assignments! This is particularly important for our Friday Sessions when we may have guest speakers from the professional community or when you may have assignments in the classrooms of local teachers. We will try to arrange reasonable carpools to these off-campus sites, but ultimately it is your responsibility to arrange transportation to these off-site sessions. You will be given plenty of advanced warning, and all off-site meetings will be no further from campus than Eureka or McKinleyville – both of which are serviced by the Humboldt Transit Authority. If you must miss a class, please leave a message on my answering machine (826-4921) prior to class time and be sure to contact a classmate to find out what you missed. COURSE CONTENT (Tentative schedule): The Tuesday and Thursday meetings of the course are primarily focused on mathematics. The Friday meetings, which may be held at Humboldt or in a local elementary classroom, are primarily focused on the mathematical education of children. The mathematics that we study is organized to enable you to build an advanced perspective on the mathematical ideas found in the California Academic Content Standards for grades K-7. These standards are organized into five mathematical areas: Number Sense, Algebra and Functions, Mathematical Reasoning, Measurement and Geometry, and Statistics, Data, and Probability. In Math 377Y we focus on Number Sense, Algebra and Functions, and Mathematical Reasoning. In Math 377Z we focus on Mathematical Reasoning, Measurement and Geometry, and Statistics, Data, and Probability. Here is a tentative schedule for the course: Dates Topics Related Textbook Chapters January 19 – January 26 Proportional Reasoning Chapters 6 January 28 – February 18 Statistics, Data and Probability Chapter 7 February 21 – March 15 Geometry as Shape Chapter 8 March 20 – April 12 Geometry as Motion Chapter 9 Measurement Chapter 10 April 17 – May 5 EVALUATION AND ASSESSMENT: 40% Weekly Assignments. There will be 10 main assignments given during the semester. Assignments are typically due on Mondays. Assignments may include exercises from the text, extended problems of the week, reflections on observations of an elementary mathematics lesson, and explanations to the “Why?” questions of elementary mathematics. Expect to see more questions related to reasoning this semester, and more written responses to questions about your mathematical understandings. These assignments are significant pieces of work. Expect to spend 5 hours at a minimum for each. It is highly likely that if you leave these assignments until the day before they are due, you will experience much frustration and little success. An “hour-a-day” approach is much more efficient for doing mathematical work. Each assignment will have it’s own point value. Each will be graded with a ratio of point earned to total point value. The smallest ratio of your ten assignments will be dropped before calculating your composite grade for these assignments. REVISION POLICY: If you turn in an assignment on the designated due date, you may resubmit it (once) for re-grading. You have one week to resubmit an assignment from the date of my return of the assignment. All re-submissions must include what you originally submitted for the assignment (with my initial comments) and the revised portions of the assignment (on new paper – please don’t just write something new on your original paper). 60% Tests There will be four tests during the semester. The tentative dates of the midterms are February 9, March 15, April 12, and May 8 The May 8 date is our final examination period for our course . For each test you will be given the full 1 hour and 20 minutes to complete the test. For each you will be allowed a calculator and a single note sheet (8.5 in x 11 in.)