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Department of Mathematics
MG 5810 Topics in Algebra
for Middle/High school teachers
Fall 2014
Course title: Number, Quantity, and Algebra with CCSS
Instructor: Dr. Natalya Vinogradova (nvinogradova@plymouth.edu)
Room Hyde 318 Dates (Times): September 12 (4pm  8pm), September 13 (9am 3pm),
October 3 (4pm  8pm), October 4 (9am 3pm),
October 17 (4pm  8pm), October 18 (9am 3pm),
October 31 (4pm  8pm), November 1 (9am 3pm).
Credits: 4 graduate credits
Course Description:
This course focuses on algebraic thinking and concepts central to the Common Core State Standards in Mathematics [CCSSM]. Specifically, the mathematical content of the course aligns with the CCSSM standards (gr. 5 12) in number, quantity, and algebra. Classroom activities explore this mathematical content and the Standards for Mathematical Practice in CCSSM, deepening students understanding. The activities also demonstrate how mathematical practices can be integrated in the everyday learning experiences of every student. Building on this knowledge, students design lesson plans to achieve clear content and process objectives. Classroom discussions focus on thinking processes, mathematical concepts, habits of mind, conceptual understanding, and dispositions that students need in order to develop a deep, flexible, and enduring understanding of mathematics.
Learning objectives:
The student will apply a variety of mental calculation methods and estimation strategies in the context of problem solving.
The student will use symbolic representations and manipulations with increased fluency.
The student will demonstrate connections between numerical computations and algebraic generalizations.
The student will use algebra to describe structure.
The student will develop and design activities that appropriately address CCSSM content standards and the standards for mathematical practice.
The student will find and modify (if needed) existing activities that appropriately address CCSSM content standards and the standards for mathematical practice.
The student will modify lessons and activities to meet the specific needs of a given group of learners.
The student will develop & analyze sample problems that are aligned with CCSSM content standards and standards for mathematical practice.
The student will apply findings from research in the teaching and learning of number, quantity, and algebra to lesson plans and activities.
Requirements:
Students are expected to attend all sessions, actively participate in all activities, and complete homework working independently and/or in collaboration. No textbook is required for the course. Materials, provided in class, will involve various approaches that can be used for a wide range of students (meaning grade levels and math skills). Assignments will be given every class and will be due the next class meeting. The class grade will be determined by classwork, homework, and the final project.
Final Project:
The project will consist of oral and written components. The oral portion is a 20minute presentation to the class and the written portion is a 5page report. The presentation should be an example of the way you would teach a topic to your grade level. A topic should be chosen by you and approved by the instructor no later than the fourth class meeting. The presentation should include different methods discussed in this course, such as use of verbal, symbolic, numerical, and pictorial representations of the same concept. The presentation should use an interactive style. Presentations will be given the final day of the course and the paper is also due on that day. Your written work should reflect on the planning stage of your final project and on implementation of the Common Core standards (both grade specific and Mathematical Practices) during your presentation.
If your situation requires any exceptions to these policies, please discuss it with the instructor before the beginning of the second class meeting.
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