S37 ClassCourse Assessment Strategies for PreService Teachers

1
S37 Class/Course Assessment Strategies for
Pre-Service Teachers

• Connie L. McLean
• Assistant Professor of Mathematics
• Bettie A. Truitt, PhD
• Professor of Mathematics

Black Hawk College, Moline, Illinois Thursday,
November 10th, 2005
2
Course Level Assessment

• Stakeholders
• Students
• Instructors
• Administrators
• Black Hawk College-HLC Accreditation

3
Course Level Assessment

• Goals
• Assess all learning objectives
• Create a method for simple implementation with
  student involvement
• Document changes

4
Course Level Assessment

• Mathematics for Elementary Teachers I
• First course in a two-course sequence designed
  for elementary education majors. Topics in this
  course include sets, whole numbers, functions,
  numeration and computation, number theory,
  integers, rational numbers, logic, and
  mathematical reasoning.

5
Course Level Assessment

• Mathematics for Elementary Teachers II
• Second course in a two-course sequence designed
  for elementary education majors. Topics in this
  course include decimals, real numbers,
  statistics, probability, geometric figures,
  measurement, geometric transformations, and
  coordinate geometry.

6
Course Level Assessment
7
Course Level Assessment

• The Activity
• In-class directions
• (see handout for details)

8
Course Level Assessment

• 1st iteration Results
• 4 out of 7 groups stated that the objective was
  met
• (see handout for details)
• Focus on 8--NCTM

9
Course Level Assessment

• NCTM writing assignment based on results of
  course level assessment
• (see handout for details)

10
URL http//www.nctm.org/standards/overview.htm
11
Course Level Assessment

• Next iteration Results
• 6 out of 6 groups stated that the NCTM learning
  objective had been met.

12
Course Level Assessment

• Assessment Process Improvement
• Revised instructions for the 1st study to get
  relevant data
• Peer review process within department
• Next steps? Other departments?

13
Classroom Level Assessment-Concept mapping

• Objective
• Perform fundamental operations of arithmetic
  through the real numbers, using the calculator
  where appropriate
• Conceptual understanding of fractions the big
  picture.

14
Classroom Level Assessment-Concept mapping

• Results from the fraction pre-test showed
• ?50 of students were struggling with many of the
  operations on fractions.

15
Classroom Level Assessment-Concept mapping

• The Activity two parts
• Part I a concept map for operations on whole
  numbers
• Part II a concept map for operations on
  fractions

16
Classroom Level Assessment-Concept mapping

• Whole Number Concept Map activity (see handout)
• Please get started!

17
Classroom Level Assessment-Concept mapping

• Fraction Concept Map activity (see handout)

18
Classroom Level Assessment-Concept mapping

• Use the provided diagram as a starting point
• (see handout)
• Include the following words in your concept map

19
Classroom Level Assessment-Concept mapping

• Like fractions
• Division
• Operations
• Lowest terms
• Numerators (2)
• Subtraction
• Proper

• Denominators (2)
• Improper
• Fractions
• Reciprocal of the divisor
• Mixed numeral
• Addition

20
Classroom Level Assessment-Concept mapping

• Results
• See student responses to the following question
• Describe advantages of creating the fraction
  concept map.

21
Classroom Level Assessment-Concept mapping

• Results
• Examination
• Arithmetic operations
• Conceptual knowledge

22
Classroom Level Assessment-Concept mapping

• Assessment Process Improvement
• 1st time - Walked students through entire
  activity
• 2nd time - Allowed students to discover/struggle
  with the fraction concept map with extended time.