Secondary Mathematics Methods

Math 416

Fall 2000 Syllabus

Instructor:  Mr. Tim Harms                             Office: MacLean 364

Phone:  236-4016 office                       Office hrs: MWF 9-10,11-12, T 10-12, MW 2-3

701-271-8346 home                                       e-mail:  harms@mnstate.edu

Daily Syllabus

Course Description

Course Objectives

Class Expectations

Course Activities

Evaluation

Grading Scale

Required Supplies

Text

Formal Assessment

Resource Folder

 

 

Co-Requisites: ED 398- Field Experience in Secondary Education

 

Course Description:

You will be expected to examine lessons as a student and then delve in the implications of these lessons as a teacher.  This course will require you to incorporate mathematics lessons that meet the National Council of Teachers of Mathematics Standards.  We will focus on two of the most challenging secondary classroom aspects: classroom discipline and assessment of the learning mathematics at the  level.

 

Course Objectives:

1) Formulate a personal sense of what is mathematics and what it means to teach

     mathematics.

2) Plan lessons that involve thoughtful questioning while balancing styles of

     presentation.

3) Develop resources of good mathematical problems and ways to assess them.

4) Define and become competent in appropriate uses of technology.

5) Practice equity of instruction through applicable modifications of lessons.

 

Class Expectations:

Regular and active classroom participation.

Assignments read and turned in on due dates listed on syllabus.   

Solve problems in mathematics by formulating problems, use different strategies to verify and interpret results, & communicate results

All papers, lesson plans, tests, quizzes must be typed.

Students will act in an honest and trustworthy manner in class and on all assignments

 

Course Activities:

Most classes will involve working mathematics problems & discussion of those problems

Development of lesson and unit plans

Adaptations for handicapped students will be discussed and part of lesson plans.

Cooperative learning will be used in the teaching of this course by the instructor as

well as the students during their presentations.

Students will become familiar with the NCTM Standards and MN Math Frameworks.

 

Evaluation:

Unit plan (outlining the lesson plans in a chapter) - 50 pts

3 Lesson Plans (detailed plans 20 pts each) - 60 pts

3 papers (15 pts each) – 45 pts

2 Presentations & Reflections (25 pts each) - 50 pts

20 Start-up problems @ 2 pts day - 40 pts

10 postings to the class listserv (2 pts/ weekly post) - 20 pts

Midterm algebra basic skills (Pass/Fail) - 50 pts

Resource Folder - 40 pts

Personal Handbook - 80

Final Exam - 50 pts

(Late work will lose 50% of its value each weekday unless prior arrangements have been made)

 

Grading Scale:

-98 A+; 97-93 A; 92-90 A-

 89-88 B+; 97-83 B; 82-80 B-

79-78 C+; 77-70 C;

69-68 D+; 67-63 D; 62-60 D-

59%- F

 

Required Supplies:

Three ring binder

 

Required Text:

Teaching Secondary Mathematics Techniques and Enrichments, Posamentier, A., Stepelman, J., 5th edition, Merrill Prentice Hall, 1999.

 

Recommended Texts: (Good references)

Every Minutes Counts, Johnson, D., Dale Seymour Publications, 1986.

Making Minutes Count Even More, Johnson, D., Dale Seymour Publications, 1986.

Motivation Counts: Teaching Techniques that Work, Johnson, D., Dale Seymour Publications, 1994.

The Write Equation: Writing in the Mathematics Classroom, Carter, J., Carter, D., Johnson, D., Dale Seymour Publications, 1994.

 

On Reserve in the Library

Principals and Standards for School Mathematics, National Council of Teachers of Mathematics, 2000.

(This is also on the web at: http://www.standards.nctm.org)

 

Minnesota K-12 Mathematics Framework

 

 

 

Formal Assessment

A unit lesson plan covering at topic with daily objectives, assignments and an assessment to complete the unit.

 

Three lesson plans-each should each include:

            List of materials needed

            Objective that is measurable

            Opening Activity

            Rationale for the lesson

            Examples

            Questions for the students

            Homework Assignment

            Modifications for students with disabilities

            Evaluation

Closing Activity

 

Student presentations of at least two lessons with at least one of these video taped that will be evaluated in more detail.  You can check out the following equipment from Mr. Harms as you prepare your lessons or are working on problems that will give you a chance to learn how to use these technologies: Graphing Calculators (TI-83 & TI-92 ),

Calculator Based Laboratory (CBL), Calculator Based Ranger (CBR), Algebra

Lab Gear, Fraction Factory & Pattern Blocks. The Geometer’s Sketchpad is loaded

in the Math lab.

 

Electronic Class Discussion

Weekly postings to the class listserv will be expected.  This will be used to start

 or continue discussion of topics covered in class.  The response will evaluated as

 appropriate or inappropriate for grading purposes. It is important students post in a 

 timely manner.

 

Midterm test - covering basic math skills test (arithmetic, algebra, geometry, measurement) that students will be expected to score 90% or above for a passing mark, if they do not pass students may retest as necessary.

 

Resource Folder

 A well organized collection of some of the best problems you feel would use to supplement the text you have when you are student teaching, this collection might also be used when you are out teaching on your own something you need to supplement the texts to help students think.

      Collect at least 10 problems from at least 4 different types sources

     (Mathematics Teacher Journal, other journals, Internet, other texts)

 

            With each problem identify:

            1) Work each problem yourself and write a few hints for each that will assist

                 those students that need a nudge, but the hint is not to be a dead give away.

            2) What would be learned?

            3) How does it fit with the NCTM Standards/MN Math Frameworks?

            4) How you would present the problem(lecture, cooperative groups, individual

                student directed, or multimedia presentation)

            5) How would you assess each problem?

            6) Reference the source where you found each problem.

 

Personal Handbook

Syllabus

Date

Course Topic

Assignment Due

Aug. 29, T

Introductions & Multibase Blocks

None

Aug. 31, R

Planning lessons

Read pp. 1-4 do #2,6 on p. 4 & Chap 1 H.O. #17, 18, 19, 23

Sept. 5, T

Elementary Lessons

Read pp. 6-17, Do #2,20, 40 on pp. 28-31 & Discussion Questions 2&3  on p.8 of Multibase Arithmetic Block H.O.

Sept. 7, R

Percent Problems & Division using Multibase blocks

Read pp. 18-27, Do #9, 26 on p. 28-30, Read Learning Theory H.O. #2 & 3 on p. 17, Work on Elementary Lesson Plan

Sept. 12, T

State & National Standards, Learning Theory

Multibase blocks H.O. p 11 # 2 & 3  & Complete lesson plan

Sept. 14, R

Presentation

Present Elementary Lessons

Sept 19, T

  Classroom Management

  Lesson Reflection & Grading policy paper

pp. 182-183

Sept 21, R

No Class

  Math Club Meeting

Sept 26, T

 Middle School Math Curriculum

  Personal involvement paper

Sept 28, R

Algebra in the middle grades

Algebra Lab Gear pp. v-5 

Oct. 3, T

The Language of algebra

Look for a lesson a middle school math book that Algebra Lab Gear would be a helpful supplement to that lesson.

Oct 5, R

Assessment and Evaluation of math exams

Start searching for a middle school lesson plan 

Bring corrected exams

Oct 10, T

MN GRAD Standards

 Classroom Management paper

Oct 12, R

MN Basic Skills Test  Download 1998 Math Practice Test

  Middle School Lesson Due

Oct 17, T Standard Algebraic Problems  
Oct 19, R Midterm Exam To be taken sometime between Oct 18-23 (inclusive of those dates)
Oct. 24 Resource Folder Report on MCTM fall conference
Oct. 26 Unit Plan and Performance Assessment mcer web site registration and find and complete the 6 steps with a problem you plan to add to your Resource Folder
Oct 31 Golden Rectangles in art, building, and nature Video Summary, Work on Unit Plan
Nov. 2 Geometer's Sketchpad & More on Performance Assessments Unit Plan outline due 
Nov. 7   Unit plan supplements due
Nov 12    
Nov 14   Final Unit plans due

Final exam - open notebook will be given Dec. 15th at 3 pm

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