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Math 4500 Syllabus: Methods of Teaching Secondary School Mathematics - Prof. Clare C. Bank, Papers of Calculus

The syllabus for math 4500, a course on teaching secondary school mathematics at dixie college. The course covers various topics including class attendance and participation, article reviews, philosophy of mathematics education, teaching observations, and presentations. The document also includes information about the instructor, prerequisites, texts, and grades.

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COURSE: Math 4500, Methods of Teaching Secondary School Mathematics
Monday 5:15 ~ 7:45 PM Classroom: NIB 150, 3.0 Cr
INSTRUCTOR: Dr. Clare Banks, banks@dixie.edu
Office: NIB 138 Phone: 652-7982
Office Hours: MWF 9:00~11:50, M 4:00~5:00 and by appointment.
PREREQUISITE Math 1210 with an earned grade of C or better or equivalent
TEXTS Posamentier, A. S., Smith, B. S. & Stepelman, J. (2006). Teaching
secondary mathematics: techniques and enrichment units. (7th ed.).
Columbus, Ohio: Merrill Prentice Hall.
National Council of Teachers of Mathematics. (2000). Principles and
Standards for school mathematics. Reston, VA: NCTM.
TECHNOLOGY The model TI-83 Plus will be used in class and is highly recommended.
A computer with a word processor and mathematics equation editor is also
recommended.
COURSE Class presentation (enrichment units) 80 pts
REQUIREMENTS Class attendance and participation 50 pts
AND Article Review/Critique 30 pts
PARTICIPATION Portfolio 20 pts
Philosophy of Mathematics Education Paper
(draft & revised) 40 pts
Teaching Observation 50 pts
Teaching Video/Evaluation 100 pts
Presentation of Mini Lesson 20 pts
NCTM & Utah SCC Reading 20 pts
Bulletin Board 20 pts
Midterm & Final Exams 200 pts
GRADES: Grades will be assigned as follows:
94-100% = A 90-93% = A- 87-89% = B+ 83-86% = B
80-82% = B- 75-79% = C+ 70-74% = C 65-69% = C-
60-64% = D+ 55-59% = D 50-54% = D- 0-49% = F
DISABILITIES: If you are a student with a medical, psychological, or learning disability
and need accommodations, contact the Disability Resource Center (652-
7516) in the Student Services Center. The Disability Resource Center will
determine the appropriate accommodations related to your disability.
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COURSE : Math 4500, Methods of Teaching Secondary School Mathematics Monday 5:15 ~ 7:45 PM Classroom: NIB 150, 3.0 Cr

INSTRUCTOR : Dr. Clare Banks, banks@dixie.edu Office : NIB 138 Phone : 652- Office Hours : MWF 9:00~11:50, M 4:00~5:00 and by appointment.

PREREQUISITE Math 1210 with an earned grade of C or better or equivalent

TEXTS Posamentier, A. S., Smith, B. S. & Stepelman, J. (2006). Teaching secondary mathematics: techniques and enrichment units. (7th^ ed.). Columbus, Ohio: Merrill Prentice Hall.

National Council of Teachers of Mathematics. (2000). Principles and Standards for school mathematics. Reston, VA: NCTM.

TECHNOLOGY The model TI-83 Plus will be used in class and is highly recommended. A computer with a word processor and mathematics equation editor is also recommended.

COURSE Class presentation (enrichment units) 80 pts REQUIREMENTS Class attendance and participation 50 pts AND Article Review/Critique 30 pts PARTICIPATION Portfolio 20 pts Philosophy of Mathematics Education Paper (draft & revised) 40 pts Teaching Observation 50 pts Teaching Video/Evaluation 100 pts Presentation of Mini Lesson 20 pts NCTM & Utah SCC Reading 20 pts Bulletin Board 20 pts Midterm & Final Exams 200 pts

GRADES: Grades will be assigned as follows:

94-100% = A 90-93% = A- 87-89% = B+ 83-86% = B 80-82% = B- 75-79% = C+ 70-74% = C 65-69% = C- 60-64% = D+ 55-59% = D 50-54% = D- 0-49% = F

DISABILITIES: If you are a student with a medical, psychological, or learning disability and need accommodations, contact the Disability Resource Center (652-

  1. in the Student Services Center. The Disability Resource Center will determine the appropriate accommodations related to your disability.

OBJECTIVES : All classes in mathematics at Dixie College support the general education goal of the college. Each class will:

  • Require students to perform mathematical processes including fractions, percentages, decimals, proportions/ratios, algebraic equations and/or calculus techniques.
  • Provide students with application problems that use a variety of methods including arithmetical, algebraic and geometric methods.
  • Challenge students to make inferences from mathematical models that include formulas, graphs and tables.
  • Provide students with real-life applications that use a variety of mathematical functions.

The goals for Math 4500 are to help preservice and inservice secondary mathematics teachers:

  • Enrich mathematics instruction at the secondary level.
  • Learn to implement state and national standards.
  • Become familiar with current mathematics education research and various mathematics education resources.
  • Gain new perspectives about curriculum and methods for teaching secondary school mathematics.
  • Gain new knowledge about using technology to enhance mathematics instruction.
  • Enhance problem-solving skills
  • Improve assessment skills.

RESOURCES The National Council of Teachers of Mathematics has e-version of the Principles and Standards for School Mathematics. http://standards.nctm.org/document/index.htm

Utah’s Secondary Core Curriculum http://www.schools.utah.gov/curr/core/corepdf/Mth7-12.pdf

APA Formatting and Style Guide http://owl.english.purdue.edu/owl/resource/560/01/

PRAXIS: Mathematics Content Knowledge http://www.ets.org/Media/Tests/PRAXIS/pdf/0061.pdf

Though not anticipated, there is always a possibility that changes will be made to this syllabus if during the course of the class it is determined that such changes will better enable the objectives to be reached. You will be notified in class if any such changes occur.

NCTM standards and Utah’s SCC reading response

Each time you read a section of the NCTM standards/Utah’s SCC, summarize it in your own words and include an activity that will enhance the particular standard. When reviewing articles, lesson planning, or when discussing teaching or peer teaching observations, always use the Standards as the basis to discuss the processes and outcomes.

Portfolio

Each student needs to prepare a three-ring binder, in which you include all the materials received from the teacher or classmates, your homework assignments, and materials collected that are related to the class. Use section dividers and name each section.

One section included in your portfolio should be on internet resources. This section should include all websites mentioned in class along with a minimum of 5 other websites of your choosing that might enhance your secondary level teaching. Write a brief description of the websites you choose and submit the URL, making enough copies to share with the class.

Attendance/Participation

Students are expected to attend classes and actively participate in discussions.

Presentation (Enrichment Units)

You need to choose five enrichment units from your textbook to present in class. Use the book as a guideline, treat your classmates as high school students, they must be actively involved in the lessons that you teach, approximately 15 minutes each lesson.

Classroom Observation

You need to choose 1 or 2 high school teachers to do your observations on. A total of 5 observations are needed before you do your video taping of yourself teaching. Fill out observation forms after each classroom observation.

Teaching video/evaluation

Before November 24 th^ , you need to teach a high school mathematics course and video tape the course for you and your classmates to evaluate your teaching demonstration. Details will be provided in class.

Bulletin Board

You need to choose a topic from Secondary Mathematics and display it on a bulletin board. Your classmates along with your instructor will evaluate your display for accuracy, neatness, & creativity.

Dates Topic Reading Homework Sep 8 The Challenge of Teaching

Sep 15 Lesson Planning Posamentier , Chap 2, p. 14 ~ 46 PSSM , p. 11 ~ 27, for each principle, write a paragraph summarizing the main points. UtahSCC , pg.1~

Present one enrichment topic to the class Decide on a classroom teacher with whom you will do your video taping Find and read an article criticizing the NCTM Standards. (submit summary & critique)

Sep 22 Lesson Planning Posamentier , Chap 2, p. 46 ~ 62 PSSM , p. 211 ~ 213

UtahSCC , Math 7 Core Curriculum

Present one enrichment topic to the class Prepare a brief presentation on one of the Standards 6- Submit your philosophy of Mathematics Education paper

Sep 29 Effective Teaching Posamentier , Chap 3, p. 63 ~ 83, in p. 74 #2, choose 5 items to present in class, be ready to discuss p. 84 #1 ~ 5. PSSM , p. 287 ~ 289 UtahSCC , Pre- Algebra Core Curriculum

Present one enrichment topic to the class Bulletin Board (1) Prepare a brief presentation on one of the Standards 9~ Find and read a research article on how mathematics is best learned. (submit summary & critique)

Oct 6 Effective Teaching Posamentier , Chap 3 p. 84 ~ 108 PSSM , p. 367 ~ 380 UtahSCC , Algebra 1 Core Curriculum)

Present one enrichment topic to the class Find and read an article on motivation. (submit summary & critique)

Oct 13 Problem Solving Posamentier , Chap 4 Present one enrichment topic to the class Submit 5 midterm questions Report on teaching observation

Oct 20 Midterm Exam