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Mathematics
540
"Research
studies in mathematics learning and teaching, exemplary practices
in mathematics education, and current state and national trends
in the mathematics curriculum in grades K-12."
First
Half Instructor:
Dr. Bill Rudolph (June 10-July 5, 1996)
Office:
474 Carver Hall
Office Phone: 515-294-8161
FAX #: 294-5454
Fiber FAX: 156
Mailbox: 400 Carver ISU
Ames, Iowa 50011
E-mail: Rudolph@pollux.math.iastate.edu
Second
Half Instructor:
Dr. Janet Sharp (July 8-August 2, 1996)
Office:
E115 Lagomarcino
Office Phone: 515-294-8688
FAX #: 515-294-6206
Fiber FAX #: 156
Mailbox: N157 Lagomarcino ISU
Ames, Iowa 50011-3190
E-mail: pipurr@iastate.edu
Course
Objectives: The
purpose of this course is to encourage and enable the practicing
mathematics teacher to encounter and study topics of the profession
that are consistent with current trends in the mathematics education
community.
There are many topics that will be considered during this course:
A. Constructivism/Pedagogy
B. Communication
C. Cooperative Groups
D. Authentic Assessment
E. Connections into Other Disciplines
F. Problem Solving
G. Questioning
H. Technology
I. Affective Domain
J. Historical Topics
K. Multicultural Connections
L. Connections within Math
M. Algebra
Syllabus
for Math 540/Dr. Bill Rudolph
June 10-July 5, 1996 (1st Half of the Course) June
10 (Monday)
Introduction to the course. Learning to use the technology.
Using PowerPoint to create a personal page. List Servers.
June 11 (Tuesday)
Article on the Iowa Communications Network. Introduction to
the TI 92. Some things to do with the TI 92.
June 12 (Wednesday)
Use of the TI 92 by class members. Carla Bissell, guest speaker
from Omaho High School, discussing the implications of TI 92
use to the high school mathematics curriculum.
June 13 (Thursday)
Individual class members discuss the use of the TI 92 in their
classes and illustrate a problem for the TI 92 which they could
use in their classes. Basic question is "What do we want
from our mathematics courses in the future?" Chris Russell.
June 14 (Friday)
Professor Brian Keller will discuss a research study he has
been doing using the TI 92.
June 17 (Monday)
Exploring the World Wide Web.
Examination
and discussion of published papers on various topics related
to mathematics education for the next 11 class sessions.
June 18
(Tuesday)- July 2 (Tuesday) Published Papers.
July 3 (Wednesday)
Creative Component Presentation- Manuel Escobar. Discussion.
July 4 (Thursday)
No Class!!
July 5 (Friday)
About the oral examination for the MSM.
Completion of the 1st half of the course.
Assignments/Projects
Mathematics 540
Bill Rudolph
Assignment
#1
Choose
a partner
Select any four of these TI 92 situations to illustrate:
a)
A programming problem
b) Graph a function and its derivative on the same coordinate
axes.
c) Approximate a solution to an exponential equation.
d) Graph a function and its inverse on the same coordinate axes.
e) Approximate to the thousandths position each root of a quartic
equation.
f) Solve a linear equation in one variable.
g) Find the points of intersection to the hundredths position
for an exponential function and a trigonometric function.
h) Select 20 test values and calculate the mean, sum,sum of
the squares,sample standard deviation, number of data points,
minimum of the values,the first quartile, the median,the third
quartile, the maximum of the values.
I) Solve a system of three linear equations in three unknowns
using matrices.
j) Find an indefinite integral.
k) Graph a 3-dimensional figure.
Be ready to present to the class on Friday of this week or shortly
thereafter using ELMO or any other equipment available.
Sample
TI-92 Calculator
Friday–Four
Topics
- Presentation
Ideas: ELMO, PowerPoint, Slide, Transparency
- Go
step-by-step so we can follow you on our calculators
- Give
us a similar problem to do when you are done
Math
540–Outline for Article Presentation
Select
another person with whom to work
We will assign an article to your group of two
Take about 30 minutes for your presentation
Handle this activity as if you were teaching a lesson
Overall
Structure
(Perhaps Four Chunks)
1)
Overview (summary) of main points: (First Chunk)
ELMO
PowerPoint
Matrix
Other?
2)
Expansion (Second Chunk)
One
person could bring in information related to the topic obtained
from another source-e.g. library, WWW, experts,...
One person could bring in personal experiences related to the
topic
Ideas on how to implement ideas found in the article
Implications for teaching mathematics, the mathematics curriculum,
mathematics education in general
3)
Class involvement (Third Chunk)
4)
Responsibility of other class members (Fourth Chunk)
We
want everyone to read and study the articles. This activity
(lead by presenters) would most likely involve questions and
comments from or directed to other class members. We would as
instructors from time to time randomly ask class members questions
about articles.
Final Remarks
Order above may be altered. However, try to cover these points.
Syllabus
for Math 540/ Dr. Janet Sharp
July
8 - August 2, 1996 (Second Half of the Course)
July
8 Introduction, etc.
July 9 Constructivism
July 10 Learning and Teaching via Constructivism
In-class Activity: Discovery Lesson
July 11 Connections
In-class Activity: What is a circle?
July 12 Connections
In-class Activity: Volume and similarity
Bring: coffee stirrers and pipe cleaners
July 15 Representations and Manipulatives
In-class Activity: Build fractal and snowflake
Bring: 6 cut out Tetrahedrons
July 16 Manipulatives and Pictures
In-class Activity: Algebra Tiles/ Tessellations
July 17 Communication
In-class
Activity: Writing
July 18 Communication/ Curriculum Development
In-class Activity: Whole Class Writing
Bring: Dictionaries
July 19 Reasoning
In-class Activity: Attribute paths
July 22 Assessment
In-class Activity: Evaluation component of lesson plans
DUE: Curriculum Project
July 23 Affective Concerns
In-class Activity: Attitude, diaries...
DUE: Math Autobiography
July 24 History lessons
In-class Activity: Diophantine Equations
July 25 Multicultural lessons
In-class Activity: Sequences
July 26 Teacher Beliefs and Ethnomathematics
July 29 DUE: Portfolio
July 29- Aug. 2, 1996 Present Portfolio
Master
of School Mathematics Information:
Note:
Click on the appropriate category for more information.
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