Education 451: Secondary Mathematics Methods
Fall, 2011 -- Allen Hibbard
COURSE DESCRIPTION: This course serves as an introduction to the methods and curriculum in mathematics in the middle and secondary grades. We will explore the national principles and standards for school mathematics. We will also discuss the challenge of teaching mathematics as we work on improving your ability to do long and short term planning, teach more effective lessons, develop problem solving skills in your students, use technology to enhance your lessons, and learn to develop appropriate assessment tools.
ATTENDANCE: Attendance is required. You cannot participate in a discussion or practice using tools if you are not in class. Contact Wendy ahead of time (when possible) if you will miss class.
HOMEWORK: We will have several long reading assignments during the course. It is expected that you look head in the schedule (posted on Blackboard) and plan accordingly. Late work will incur a penalty.
- Writing Assignment: Your writing assignment will be an essay answering why you are interested in teaching mathematics. You should describe your strengths and weaknesses with respect to teaching mathematics as well as your fears and expectations about teaching mathematics. If you have had any teaching experiences outside your education here at Central College, briefly describe them and the impact they had on you.
- Principles and Standards: We will be reading and discussing the NCTM's Principles and Standards for School Mathematics (PSSM). We will use the standards to evaluate classroom activities and lesson plans.
- Teaching Secondary Mathematics (TSM): This text will be used extensively throughout the semester. Homework assignments will accompany many of the readings and discussions. These assignments will help you develop the skills necessary to plan and teach lessons as well as assess your plans and your students' mathematical understanding.
- Micro Lesson Plans, Presentations, & Reflections: Each of you will prepare a lesson and present two micro-teaching lessons.
- Each presentation must be accompanied by a lesson plan. You will develop a lesson, have it evaluated by the professor, discuss it with the professor, and revise it.
- You will present only 10 minutes of each lesson. These lessons will be peer-critiqued.
- One lesson must cover a topic in algebra or geometry; one lesson must use technology (TI-83 calculator, Excel, Geometer's Sketchpad, etc.); one lesson must be discovery-based.
- One lesson must be from your unit lesson plan.
- Pre-approved topics for lessons include Units 13, 20, 21, 24, 29, 31, 34, 37, 40, 41, 42, 49, 50, 52, 57, 59, 67, 69, 74, 75, 76, 77, 78, 81, 83, 86, 93, 96, 119 in the text Teaching Secondary Mathematics. Other topics (such as from CTA courses, field experience courses, or lessons from the Illuminations CD accompanying Principles and Standards for School Mathematics) must be approved by the instructor.
- Following the first micro presentation you will type a 1.5 page paper reflecting on the process of planning and teaching the lesson. In particular you should address what went well, what surprised you and what you would change. The reflection paper is due 24 hours after your presentation.
- Curriculum Resource File: In conjunction with your general methods course, create one! Things to include (for Math Methods) might be mathematical anecdotes, mathematical amusements, interesting problems, notes of historical interest, ideas to teach various topics, teaching games, references to articles worth reading, websites (list the URL and a brief description of information on the site), etc. Sources may include Mathematics Teacher, Teaching Mathematics in the Middle School, The College Math Journal, class, various books, etc. Collect items that will be of use to you in your career as a teacher of mathematics. Handouts, summaries, and assignments from class are possible items for your file. These items may or may not fit into your General Methods Curriculum/Strategies File; they must pertain to the teaching of mathematics.
- Unit Lesson Plan: In conjunction with your general methods course, prepare a unit lesson plan consisting of daily lesson plans, quizzes, activities, and exams. One of your exams should be completed by a classmate and graded by you. Portions of the unit plan will be due at points during the semester. You are expected to respond to comments made by the professor on these parts by revising them for the final unit plan; all graded portions must be turned in as appendices in the final unit plan.
GRADING ALLOCATION: The course grade will be determined by the following allocation:
|Homework & Discussion
|Micro Lesson Plans, Presentations, Reflections
|Unit Lesson Plan
GRADES: Based on the allocation weighted as above, a letter grade will then be awarded as delineated below.
|A : [93, 100]
||A- : [90, 93)
||B+ : [88, 90)
||B : [82, 88)
|B- : [80, 82)
||C+ : [78, 80)
||C : [72, 78)
||C- : [70, 72)
|D+ : [68, 70)
||D : [62, 68)
||D- : [60, 62)
||F : [0, 60)
OFFICE HOURS: I will be available in To confirm availability, please feel free to call (5133) or email (firstname.lastname@example.org) to make an appointment for a different time, or simply stop by.