Math 257: Geometry and Probability for Teachers

Transcription

1 Math 257: Geometry and Probability for Teachers Course Syllabus for MATH & MATH , Fall 2013 at Boise State University I. COURSE INFORMATION Instructor: Joe Champion, Ph.D. (preferred contact): Webpage: Office location: Math Building Room 233D Office phone: Office Hours for Students: MWF 10:30-11:30 & by appointment Meeting place: Math Building Room 107 Meeting times: MWF 9-10:15 a.m. or MWF 12-1:15 p.m. II. COURSE DESCRIPTION This is a course on the foundational ideas of grades K-8 mathematics. The focus is on thinking about mathematical concepts that are currently prominent in elementary schools from the perspective of teaching. This will include laboratory-style exploration, deep analyses of concepts, consideration of children s thinking, and investigations with technology. MATH 257 (Catalog Description): Probability, statistics, geometric concepts, principles, and measurement. Includes the use of physical materials and technology. PREREQ: MATH 157 III. PURPOSE Boise State's Foundational Studies Program provides undergraduates with a broad-based education that spans the entire university experience. MATH 257: Geometry and Probability for Teachers satisfies four credits of the Foundational Studies Program Disciplinary Lens- Mathematics (DL-M) requirements. It supports the following University Learning Outcomes, along with a variety of other course-specific goals. ULO 7. Apply knowledge and the methods of reasoning characteristic of mathematics, statistics, and other formal systems to solve complex problems. MATH 257: Geometry & Probability for Teachers is designed to provide opportunities for students to significantly enhance their understanding of geometry and probability in preparation for a career in teaching. After successful completion of this course, you will be able to: Reason about units of measure and conversions Use mathematical definitions appropriately Justify mathematical statements and evaluate justifications from others Apply knowledge of children s thinking to evaluation of student work Reason about situations involving chance Represent and solve problems using geometric models Develop conjectures within structured explorations Use technology as a tool for mathematical reasoning IV. REQUIRED TEXTBOOKS and MATERIALS Reconceptualizing Mathematics for Elementary School Teachers, Sowder, Sowder, & Nickerson (2010) Boise State custom edition; Parts III & IV. [Same text as Math 157.] A ruler, compass, protractor, and calculator (e.g., TI-73, or one of the many apps)

2 V. MAJOR COURSE REQUIREMENTS and ASSESSMENTS Final course grades will be a weighted average of means using the following category weights: Unit Exams (2) 50% Geometric Art Project 25% Final Exam 20% Classwork, Homework & Quizzes 5% We ll use the traditional letter grade cutoffs (90-100% A, 80-89% B, 70-79% C, 60-69% D, below 60% F). Plus and minus grades will be applied for final grades within 2.5% of the cutoffs. Unit Exams two in-class individual exams with focus on explanations of concepts underpinning students' understanding of figures and measurement systems. These exams may only be made up in extreme circumstances and with prior notification. Geometric Art Project research an artistic movement, focusing on applications of geometric ideas. Then, create an original piece of related artwork and a guidebook for elementary students to create their own artwork in your chosen movement. See project guidelines for details. Final Exam comprehensive summative evaluation of individual course knowledge. The exam is scheduled by the university and may not be retaken or made-up if missed. If you have a conflict with the scheduled time, please see me two weeks prior to discuss scheduling.» The final exam for the 9 a.m. section is Monday, December 16, 9:30 am - 11:30 am.» The final exam for the 12 p.m. section is Friday, December 16, 12:00-2:00 p.m. Classwork, Homework & Quizzes classwork includes individual, collaborative and cooperative explorations of mathematical ideas, reflections, and discussions of the development of elementary students' reasoning. Points are earned through active engagement, thoughtful communication, and attendance. Collaboration on homework is great, but only submit your own original work. Quizzes may be announced or unannounced and will typically allow the use of any resources you bring to class. VI. CLASS POLICIES Attendance/Tardiness. Since this course relies on teamwork, you re expected to attend every class session, arrive on time, and complete all in-class activities. If you need to miss part or all of a class session, please talk with a classmate and see the course website to get caught-up. Feel free to me if you have questions. Late Homework. Homework will usually be due the next class, but may be submitted later if you request an extension prior to the deadline. The instructor may enforce strict deadlines on some assignments (e.g., projects) by announcing a hard deadline. Any partial credit earned for assignments submitted after hard deadlines will be assigned at the instructor s discretion. Cell Phones/Electronic Devices. Please silence electronic devices during class and step out of class to use them. You may not use any personal electronic device during exams. Professional Communication. As a class for teachers, communication in this course will be aligned to professional norms. Please type and proof-read your written assignments, and use formal letter style correspondence, and express personal views with an emphasis on

3 Syllabus Geometry & Probability for Teachers with Joe Champion 3 mutual respect. All class participants (including the instructor) are expected to read s within 24 hours and respond within 3 business days whenever appropriate. Learning Assistant. We are fortunate to have Jesse Randolph as a Learning Assistant running regular help sessions Math 257. Jesse may be contacted at jesserandolph@u.boisestate.edu. Monitoring Grades. Please check your scores on Blackboard regularly and keep returned assignments and tests. If you believe there may be an error or you were graded unfairly, you must bring this to my attention within 3 weeks from the time that the assignment was returned to the class. After this time period, I will not consider requests to review and/or change scores. Academic integrity. All students are expected to be familiar with and adhere to the policies given in the BSU Student Code of Conduct. In this class, academic misconduct or complicity in an act of academic misconduct will result in a minimum of a 0 on the assignment/test. Disabilities Accommodations. Students with disabilities needing accommodations to fully participate in this class should contact the Disability Resource Center (DRC). All accommodations MUST be approved through the DRC. Please stop by Administration 114 or call to make an appointment with a disability specialist. To learn more about the accommodation process, visit our website at Changes. The instructor may amend the syllabus at any time prior to the final exam by announcing the changes in class. VII. COURSE OUTLINE (subject to change, see the online course schedule for updates) DAY DATE TOPIC Section CLASS CONTENT 1 M 8/26 Geometry & Data Syllabus, Activity 2 W 8/28 Polyhedra 16.1, 16.2 Activity 3 F 8/30 3D Congruence 16.3, 16.4 Interactive Lecture M 9/2 No Classes, Labor Day Holiday 4 W 9/4 Naming Solids 16.5 Quiz 5 F 9/6 Polygon Vocabulary 17.1 Interactive Lecture 6 M 9/9 Polygon Taxonomies 17.2, 17.3 (frustrating) Activity 7 W 9/11 Youngsters & 2D Shapes 17.4 Activity 8 F 9/13 Symmetry in the Plane 18.1, 18.2 Quiz 9 M 9/16 Rigid Motions 22.1, 22.2 Interactive Lecture 10 W 9/18 Constructing Rigid Motions 22.3 Activity 11 F 9/20 Composite Rigid Motions 22.4 Quiz 12 M 9/23 Review for Exam Activity 13 W 9/25 Chapters 16-18, 22 Exam #1 14 F 9/27 Tiling & Tessellation 19.1, 19.2 Activity 15 M 9/30 Tiling & Tessellation 19.1, 19.2 Activity 16 W 10/2 Dilation & Distortion 20.1, 20.2 Interactive Lecture 17 F 10/4 Similarity & Proportions 20.3, 20.4 Quiz 18 M 10/7 Classical Constructions 21.1, 21.2 Interactive Lecture 19 W 10/9 Measuring Systems 23.1 Interactive Lecture 20 F 10/11 Geometric Measures 23.2 Activity 21 M 10/14 Area & Surface Area 24.1 Activity

4 DAY DATE TOPIC Section CLASS CONTENT 22 W 10/16 Volume 24.2 Interactive Lecture 23 F 10/18 Youngsters & Area/Volume 24.3 Quiz 24 M 10/21 Geometric Formulas 25.1 Interactive Lecture 25 W 10/23 Applications of Formulas 25.2 Activity 26 F 10/25 Review for Exam Activity 27 M 10/28 Chapters 19-21, Exam #2 28 W 10/30 Squares on a Triangle 26.1 Activity 29 F 11/1 Chance & Probability 27.1 Lecture 30 M 11/4 Computing Probability 27.2 Activity 31 W 11/6 Simulation 27.3 Quiz 32 F 11/8 Enumeration 28.1 Activity 33 M 11/11 Compound Events 28.2, 28.3 Interactive Lecture 34 W 11/13 Conditional Probability 28.4 Interactive Lecture 35 F 11/15 Types of Data 30.1 Interactive Lecture 36 M 11/18 Data Collection 30.2 Outdoor Activity 37 W 11/20 Data Representation 30.1, 30.2 No Class Meeting 38 F 11/22 Spread & Center 30.3, 30.4 Interactive Lecture 11/25-11/29 No Classes, Thanksgiving Holiday 39 M 12/2 Deviation & Variation 30.5 Activity 40 W 12/4 Shape of Data 30.6 Lecture 41 F 12/6 Art Project Presentations Artist s Showcase 42 M 12/9 (Wiggle Room for Changes in the Plan) 43 W 12/11 (Wiggle Room for Changes in the Plan) 44 F 12/13 Comprehensive Review Activity 45 12/16 Comprehensive Final Exam VIII. TEXTBOOK PRACTICE EXERCISES (some will be collected & graded, some will not) Section Exercises Section Exercises 16.1 Learning Ex. 1-7 Supplementary: 1, Learning Ex. 1-7 Supplementary: 2, Learning Ex. 1, 3, 4, 5 (c, d), 7, 9, 14; Supplementary: Learning Ex. 3, 4, 5, 8, 9, 21, 22, 24, 26 Supplementary: 2, 3, Learning Ex. 4, 5, 7, 17, Learning Ex. 1, 2 Supplementary: 2, Learning Ex. 3, 9 Supplementary: Learning Ex. 1, 2, 5, 6, 8, 9, 10, 11, Learning Ex Learning Ex. 1, 3, 4, 7, 8 (be able to explain your work), Learning Ex. 2, 3, 6, 7, 14, 15, 16, 19, 20 Supplementary: 3, 4, Learning Ex. 2, 4 Supplementary: 2, 3, Learning Ex. 2, 3, Learning Ex. 4, 5, 7, 8 Supplementary: 2, Learning Ex. 2, 3, 5, 6, Learning Ex. 2, 3,4

5 Syllabus Geometry & Probability for Teachers with Joe Champion 5 Section Exercises Section Exercises Supplementary: 2, 3, 4, 5, Learning Ex. 3, 5, Learning Ex. 2, 5, 9 Supplementary: 5, Learning Ex. 4, 5, 6, 8, 10, 11, 15 Supplementary: Learning Ex. 1, 2, 3, 4, 5, 9, 10, 12, 16, 17, 18, 22 Supplementary: 2, 5, 6, Learning Ex Learning Ex. 22, 23, 24, 30, 35, 39 Supplementary: 4, 5, 6, 9, Learning Ex. 1, 4, 8, 9 Supplementary: 3, 4, Learning Ex. 2, 3 Supplementary: Learning Ex. 2, 3 (be able to explain), 9, 20, 22, 23, 24 26, 28, (NOTE: in parts b and c, there is a typo) Supplementary: 5, 6, Learning Ex. 3, 4, 5, 6, 7, 8, 9, 10, 11, 14, 18, 19, 21, 33, 34 Supplementary: 5, 6, 7, 8 (bragging rights if you can find a problem with part b!), Learning Ex. 1, 2, 5, 7, 8, 11, 12, 13 14, 18, 19, 24 Supplementary: 3, 5, Learning Ex. 1, 2, 5, 6, 9, 12, 14, 15, 16, 19, 21, 26 Supplementary: 2, 3, 4, 5, 6, 7, Learning Ex. 1, 2, 3, 6, 7, 8, 9, 10, 11, 14, 16, 17, 21, , Learning Ex. 2, 3, 5, 8, 9 Supplementary: 6, Learning Ex. 1, 2, Learning Ex. 1, 2, 3, 10, 12, Learning Ex. Be able to construct and interpret each type of graph. 1, 7, 8, 9 Supplementary: 3, Learning Ex. 1, 5, 6, Learning Ex. 1, 2, 4, 5, 6, 7, 8, 12, 13, 14, 15, 18, 19, 21, 23 Supplementary: 5, 7, 10, Learning Ex. Be able to construct and interpret each type of graph. 3 Supplementary: 2, Learning Ex. 2, 3, 5, 6, 7, 9, 10, 16, 17, 4, 6, Learning Ex. 1, 5, Learning Ex. 1, 3, 4, 5, 12, 13, 15, 16, 17, 18, 5, Learning Ex. 2, 3, 4, 6, 7, 4, 5, 6, 8, 11, Learning Ex. 2, 4, Learning Ex. 1, 3, Learning Ex. 5, 6, 13, 16 Supplementary: 1, 8, Learning Ex. 1, 3, 6, 10 Supplementary: 3, 5, 7, 12, Learning Ex. 1, 2, 4, 6, 7, 9, 10, 11, 12 Supplementary: 1, 3, 6, 8