Tentative Syllabus Math 3066

Course:

Math 3066

4 credits

GEOMETRY AND TECHNOLOGY IN THE MIDDLE SCHOOL MATHEMATICS CLASSROOM

Fall 2010

Department:

Mathematics and Computer Science

 

Program(s):

Elementary Education Major, B.S. (Teacher Licensure)

Meeting:

9:00-9:50 AM MWF

HS 231

Extras:

 

 

Instructor:

Dr. Glen Richgels

HS 360

Office: 218-755-2824

Email: grichgels@bemidjistate.edu

www: http://faculty.bemidjistate.edu/grichgels/

Office Hours:

  7-  8 M-F

11-12 M-F

 

Course Description:

3066 GEOMETRY AND TECHNOLOGY IN THE MIDDLE SCHOOL MATHEMATICS CLASSROOM

 (4 credits)

This course helps meet the licensure rule with respect to concepts of patterns, shape and space; spatial sense; plane, solid, and coordinate geometry systems; generalizing geometric principals; limits, derivatives and integrals; and appropriate use of technology in the classroom. 

Prerequisite:

MATH 1011 and MATH 1100 or MATH 1110 or equivalent

 

Professional Education Mission Statement

Bemidji State University prepares teachers through inquisitive, involved, reflective practice. The framework outlining our program sets a standard that is rigorous, exemplary and innovative. The curricular structure is research based and organized around the Standards of Effective Practice. Graduates are proficient, collaborative, technologically literate and environmentally aware teachers, who work effectively in various settings with diverse learners.

Text:

 

Recommended:           

Mathematics for Elementary Teachers a Contempory Approach,
Musser, Burger & Peterson

Technology:

 

A calculator or computer

 

Attendance by all students is expected for all classes.

 

Homework:  Homework assignments will be made in class.  You should come prepared to discuss the various reading assignments and compare and contrast them with what you have observed in schools.

Class participation and quizzes:  Class participation is expected and in order to participate you need to be present. 

Exams: Exams will be approximately tri-weekly. There will be a final exam.

Evaluation:There will be 3-5 tests given throughout the quarter.  Quizzes may be given frequently and may be unannounced.  The content for the quizzes and tests will be based on assignments, classroom discussion and lecture, and textbook material.

Grades: Grades will be based on the homework, quizzes, tests, and final exam.

Homework, Quizzes   -  one-sixth                 

            Tests                           - one-half                    

            Final                            - one-third                  

The following grading scale will be used to determine grades:

            A         90% - 100%

            B         80% -   89%

            C         70% -   79%

            D         60% -   69%

 

A grade of C or better indicates that the student has successfully met the competencies measured in this class through discussion, homework, and projects.

Incomplete: An incomplete (I) grade will only be given in documented emergency situations. BSU policies will be followed.

 

Students are expected to practice the highest standards of ethics, honesty, and integrity in all of their academic work.  Any form of academic dishonesty (e.g. plagiarism, cheating, misrepresentation) may result in disciplinary action.  Possible disciplinary actions include failure for part or all of the course, as well as suspension from the University.

 

NOTE: Upon request, this document and others distributed in this course can be made available in alternate formats.  If you have a documented disability and need accommodations for this course please contact the instructor,  the Disability Services Office in 202 Sanford Hall, Bemidji State University or Kathi Hagen in the Office for Students with Disabilities at 755-3883 for assistance.. Any other questions about this course should be directed to the instructor.

 

Change in Course Syllabus: The Instructor reserves the right to change this syllabus as this course proceeds if the need arises. Should a change be required the class will be notified.

 

Course Outline:

(1)  concepts of patterns, relations, and functions:

 

 

 

 

(e)  apply properties of boundedness and limits to investigate problems involving sequences and series; and

 

(f)  apply concepts of derivatives to investigate problems involving rates of change;

(4)  concepts of shape and space:

 

 

(a)  shapes and the ways in which shape and space can be derived and described in terms of dimension, direction, orientation, perspective, and relationships among these properties;

 

(b)  spatial sense and the ways in which shapes can be visualized, combined, subdivided, and changed to illustrate concepts, properties, and relationships;

 

(c)  spatial reasoning and the use of geometric models to represent, visualize, and solve problems;

 

(d)  motion and the ways in which rotation, reflection, and translation of shapes can illustrate concepts, properties, and relationships;

 

 (e)  formal and informal argument, including the processes of making assumptions; formulating, testing, and reformulating conjectures; justifying arguments based on geometric figures; and evaluating the arguments of others;

 

(f)  plane, solid, and coordinate geometry systems, including relations between coordinate and synthetic geometry and generalizing geometric principles from a two-dimensional system to a three-dimensional system;

 

(g)  attributes of shapes and objects that can be measured, including length, area, volume, capacity, size of angles, weight, and mass;

 

(h)  the structure of systems of measurement, including the development and use of measurement systems and the relationships among different systems;

 

(i)  measuring, estimating, and using measurements to describe and compare geometric phenomena;

 

 

 

 

 

 

Assignments:

 

 

 

Instructional Strategies used by instructor in course:

 

PolyaÕs problem solving steps

1.     Understand the problem

    1. Devise a plan
    2. Carry out the plan
    3. Reflect

 

Lesson Sequencing

            Intuitions Þ Concrete ó Semi-Concrete ó Abstract

 

GlenÕs Teaching/Learning Principles

1.     Teach the way students learn

2.     Use group work, heterogenous, 3-4, change monthly

3.     Communication student ó student

4.     Communication teacher ó student

5.     Multiple solution paths

6.     Use contextual settings / problem solving

7.     Assessment

a.     Grading

b.     To inform instruction

 

Updated by Glen Richgels

February 26, 2010

 

TENTATIVE Daily Course Outline

Assign 1

Two computers -- Features and prices (20)

Assign 2

Computer terms (30)

Assign 3

Software review (6 programs for 30)

Assign 4

WWW Review (6 sites for 30)

Assign 5

Java Applets (6 applets for 30)

Assign 6

E-mail game (20)

Assign 7

Home Page (30)

Assign 8

Microworlds EX project (30)

Assign 9

Grade book comparison (20)

Assign 10

M&M Spreadsheet project (20)

Assign 11

Fathom / Tinkerplots data project  (20)

Assign 12

Van Hiele Levels (10)

Assign 13

Geometer's Sketchpad -- Geometry relationships (20)

Assign 14

Geometer's Sketchpad -- Geometry theorem (20)

Assign 15

Circles and angles (20)

Assign 16

Cinderella (20)

Assign 17

Lego robotics (30)

Assign 18

Trigonometry measurement (20)

Assign 19

Limits (20)

Assign 20

Derivatives (20)

Assign 21

Integrals (20)

Assign 22

Final Paper

 

Board of Teaching Standards

 

8710.3320 MIDDLE LEVEL ENDORSEMENT LICENSE FOR TEACHERS OF MATHEMATICS.

Department of Mathematics and Computer Science

 

EVIDENCE OF LEARNING & ASSESSMENT OPPORTUNITIES

8710.3320 MIDDLE LEVEL ENDORSEMENT LICENSE FOR TEACHERS OF MATHEMATICS

Course ID

Number

Activity or unit

Assessment

(1)  concepts of patterns, relations, and functions:

 

 

 

(e)  apply properties of boundedness and limits to investigate problems involving sequences and series; and

M3066

Cube stacking; fib/lucas seq/ratios;

 

(f)  apply concepts of derivatives to investigate problems involving rates of change;

M3066

Graph tangent lines at a point for polynomial functions

 

(4)  concepts of shape and space:

 

 

 

(a)  shapes and the ways in which shape and space can be derived and described in terms of dimension, direction, orientation, perspective, and relationships among these properties;

M3066

Locate a point in space with different coordinate systems; fractal dimension ck www

 

(b)  spatial sense and the ways in which shapes can be visualized, combined, subdivided, and changed to illustrate concepts, properties, and relationships;

M3066

Area and volume calculations

 

(c)  spatial reasoning and the use of geometric models to represent, visualize, and solve problems;

M3066

Calculate the volume of a sphere (and others)

 

(d)  motion and the ways in which rotation, reflection, and translation of shapes can illustrate concepts, properties, and relationships;

M3066

Flips, slides, turns, composition of functions

 

 (e)  formal and informal argument, including the processes of making assumptions; formulating, testing, and reformulating conjectures; justifying arguments based on geometric figures; and evaluating the arguments of others;

M3066

Circles and angles system; sum of angles in a triangle in geometries; number of regular polygons and polyhedra; taxi-cab geometry

 

(f)  plane, solid, and coordinate geometry systems, including relations between coordinate and synthetic geometry and generalizing geometric principles from a two-dimensional system to a three-dimensional system;

M3066

Distance between two points, 1,2,3,n-D

 

(g)  attributes of shapes and objects that can be measured, including length, area, volume, capacity, size of angles, weight, and mass;

M3066

Comparison of geometric solids; ??

 

(h)  the structure of systems of measurement, including the development and use of measurement systems and the relationships among different systems;

M3066

Comparison of English and Metric systems including evolution and utility

 

(i)  measuring, estimating, and using measurements to describe and compare geometric phenomena;

 

M3066

Construct tools to measure height and distance (transit); similarity, law of sines, cosines

 

 

 

 

 

 

 

 

 

Professional Education Mission Statement

Bemidji State University prepares teachers through inquisitive, involved, reflective practice. The framework outlining our program sets a standard that is rigorous, exemplary and innovative. The curricular structure is research based and organized around the Standards of Effective Practice. Graduates are proficient, collaborative, technologically literate and environmentally aware teachers, who work effectively in various settings with diverse learners.

 

The middle level teachers from BSU that take the campus M3066 class[u1]  will increase their content knowledge and understanding of how students learn as they experience studying fundamental operations, probability, statistics, and foundations of geometry. M3066 is a mixture of challenging students in the understanding of number sense, discrete  mathematics and experiencing activity based pedagogy. This translates into a more positive attitude toward mathematics for themselves that hopefully they will take with them into their teaching.

 

The best practices of activity oriented learning is demonstrated in[u2]  class from day one. In addition group work and collaborative learning are encouraged and used almost daily. These best practices are discussed at the beginning of the course and pointed out and discussed throughout the semester.

 [u1]Help here

 [u2]Help here