Tentative
Syllabus Math 3067
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Course: |
Math 3067 4 credits |
DATA
INVESTIGATIONS, PROBABILITY, AND STATISTICS FOR MIDDLE SCHOOL TEACHERS |
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Department: |
Mathematics
and Computer Science |
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Program(s): |
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Meeting: |
9:00-9:50 AM
MWF |
HS 231 |
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Extras: |
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Dr. Glen
Richgels |
HS 360 Office:
218-755-2824 Email:
grichgels@bemidjistate.edu www:
http://faculty.bemidjistate.edu/grichgels/ |
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7- 8 M-F 11-12 M-F |
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3067 DATA
INVESTIGATIONS, PROBABILITY, AND STATISTICS FOR MIDDLE SCHOOL TEACHERS (4
credits) This
course meets the new BOT rule with respect to data investigations and
concepts of randomness and uncertainty. The collection, display, analysis,
and interpretation of data are studied. Additional topics include randomness,
sampling, probability in simple and compound events, the prediction of
outcomes using a variety of techniques, and the comparison of theoretical and
empirical results of experiments. |
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Prerequisite: |
MATH
1011
or consent of instructor. |
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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. |
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Text: |
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Recommended: |
Mathematics
for Elementary Teachers a Contempory Approach, |
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Technology: |
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A calculator |
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:
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(5) concepts of data investigations: |
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(a) data and its power as a way to explore
questions and issues; |
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(b) investigation through data, including
formulating a problem; devising a plan to collect data; and systematically
collecting, recording, and organizing data; |
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(c) data representation to describe data
distributions, central tendency, and variance through appropriate use of
graphs, tables, and summary statistics; |
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(d) analysis and interpretation of data,
including summarizing data; and making or evaluating arguments, predictions,
recommendations, or decisions based on an analysis of the data |
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(6) concepts of randomness and uncertainty: |
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(a) inference and the role of randomness
and sampling in statistical claims about populations; |
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(b) probability as a way to describe chance
or risk in simple and compound events; |
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(c)
predicting outcomes based on exploration of probability through
data collection, experiments, and simulations; and |
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(d) predicting outcomes based on
theoretical probabilities and comparing mathematical expectations with
experimental results. |
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Instructional Strategies used by
instructor in course:
PolyaÕs problem solving steps
1.
Understand
the problem
- Devise a plan
- Carry out the plan
- 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
March 2, 2010
TENTATIVE
Daily Course Outline
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Board of Teaching Standards
8710.3320 MIDDLE LEVEL
ENDORSEMENT LICENSE FOR TEACHERS OF MATHEMATICS.
Department of Mathematics and Computer Science
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EVIDENCE OF LEARNING & ASSESSMENT
OPPORTUNITIES |
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8710.3320
MIDDLE LEVEL ENDORSEMENT LICENSE FOR TEACHERS OF MATHEMATICS |
Course ID Number |
Activity or unit |
Assessment |
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C.A teacher with a middle level
endorsement for teaching mathematics in grades 5 through 8 must demonstrate
knowledge of fundamental concepts of mathematics and the connections among
them. The teacher must know and apply: |
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(5) concepts of data investigations: |
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(a) data and its power as a way to explore
questions and issues; |
M3067 |
Tinkerplots cat/kitten ? |
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(b) investigation through data, including
formulating a problem; devising a plan to collect data; and systematically
collecting, recording, and organizing data; |
M3067 |
Survey and conclusions; |
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(c) data representation to describe data
distributions, central tendency, and variance through appropriate use of
graphs, tables, and summary statistics; |
M3067 |
Ht comparison male and females; stem and leaf;
scatter plot; histogram; box and whisker plot |
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(d) analysis and interpretation of data,
including summarizing data; and making or evaluating arguments, predictions,
recommendations, or decisions based on an analysis of the data |
M3067 |
Battery life comparison; greatest yankee
determination; flick a nick arguments; challenger space shuttle |
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(6) concepts of randomness and uncertainty: |
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(a) inference and the role of randomness
and sampling in statistical claims about populations; |
M3067 |
How black is a zebra? |
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(b) probability as a way to describe chance
or risk in simple and compound events; |
M3067 |
Expected value; Carnival game day |
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(c)
predicting outcomes based on exploration of probability through
data collection, experiments, and simulations; and |
M3067 |
Prizes in cereal boxes |
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(d) predicting outcomes based on
theoretical probabilities and comparing mathematical expectations with
experimental results. |
M3067 |
Comparing two products |
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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 M3067 class will increase their content knowledge and understanding of
how students learn as they experience studying data collection, display,
probability, and statistics. M3067 is a mixture of challenging students in the
understanding of data organization, interpretation, chance and uncertainty and
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[u1] 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.