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Methodology for Comparative
Analysis of Math Cources
SEFI
• Organized in 1982
• Has a special work group on Math Education
(MWG)
• Every 10 years SEFI MWG produces a report:
“Framework for Mathematics Curricula in
Engineering Education”
• 1992: core topics of math curricula
• 2002: core learning outcomes of teaching math
• 2012: core math competencies
University and Discipline settings
• Short university profile:
– Classic or Technical
– number of students
– number of engineering disciplines
– number of engineering students,…
• Selected discipline/major profile: …
• Which part of the entire study program does
Math have?
• Usage of Mathematical software (Matlab /
Mathematica / …)
Course settings
• Type (bachelor/master) and year (1/2/…), selective or
mandatory
• Prerequisite and Outcome Courses
• Who is teaching / which department (math or smth.
else)
• Name of the course / focus of the course
(Theoretical/Applied)
• ECTS (credits)
• How the activity in the course is divided/ordered in
terms of lectures/labs/homework/internships
• Competencies: prerequisite / target
(take into account PISA / SEFI (http://www.sefi.be/) /
Math-Bridge ontology / http://www.cdefi.fr)
Teaching aspects
• Content
• Pedagogy
• Assessment
Use of ICT/TEL
• Which tools
• Which activities
• Mandatory / extra credit / fully optional
• e-Learning / Blended learning / traditional / …
Course statistics
• Students (in/out)
• Grades distribution
• International students
• Student demographics
(gender, age, nationality, % of scholarships, ...)
Resources
• Teaching hours
• Preparatory hours
• Teaching assistants (for grading /…)
• Computer labs
• How large are the classes
• Number of person hours per student invested
• Usage of Mathematical software (Matlab /
Mathematica / …)

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Presentation and Discussion of the Methodology

  • 2. SEFI • Organized in 1982 • Has a special work group on Math Education (MWG) • Every 10 years SEFI MWG produces a report: “Framework for Mathematics Curricula in Engineering Education” • 1992: core topics of math curricula • 2002: core learning outcomes of teaching math • 2012: core math competencies
  • 3. University and Discipline settings • Short university profile: – Classic or Technical – number of students – number of engineering disciplines – number of engineering students,… • Selected discipline/major profile: … • Which part of the entire study program does Math have? • Usage of Mathematical software (Matlab / Mathematica / …)
  • 4. Course settings • Type (bachelor/master) and year (1/2/…), selective or mandatory • Prerequisite and Outcome Courses • Who is teaching / which department (math or smth. else) • Name of the course / focus of the course (Theoretical/Applied) • ECTS (credits) • How the activity in the course is divided/ordered in terms of lectures/labs/homework/internships • Competencies: prerequisite / target (take into account PISA / SEFI (http://www.sefi.be/) / Math-Bridge ontology / http://www.cdefi.fr)
  • 5. Teaching aspects • Content • Pedagogy • Assessment
  • 6. Use of ICT/TEL • Which tools • Which activities • Mandatory / extra credit / fully optional • e-Learning / Blended learning / traditional / …
  • 7. Course statistics • Students (in/out) • Grades distribution • International students • Student demographics (gender, age, nationality, % of scholarships, ...)
  • 8. Resources • Teaching hours • Preparatory hours • Teaching assistants (for grading /…) • Computer labs • How large are the classes • Number of person hours per student invested • Usage of Mathematical software (Matlab / Mathematica / …)