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2 April 2007 Learning Technologies and Mat hematics Middle East Conferen ce 1 University University Mathematics: Mathematics: Is the Math Is the Math Path Right for You? Path Right for You? Rajaa AlTalli Rajaa AlTalli

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Page 1: 2 April 2007 Learning Technologies and Mathematics Middle East Conference1 University Mathematics: Is the Math Path Right for You? Rajaa AlTalli

2 April 2007 Learning Technologies and Mathematics Middle East Conference

1

University University Mathematics: Mathematics:

Is the MathIs the MathPath Right for You?Path Right for You?

Rajaa AlTalliRajaa AlTalli

Page 2: 2 April 2007 Learning Technologies and Mathematics Middle East Conference1 University Mathematics: Is the Math Path Right for You? Rajaa AlTalli

2 April 2007 Learning Technologies and Mathematics Middle East Conference

2

University Mathematics: Is University Mathematics: Is the Maththe MathPath Right for You? Path Right for You?

Necessary preparationNecessary preparation

Daily program schedule Daily program schedule

Aims of the course Aims of the course

Important points of detail Important points of detail

Page 3: 2 April 2007 Learning Technologies and Mathematics Middle East Conference1 University Mathematics: Is the Math Path Right for You? Rajaa AlTalli

2 April 2007 Learning Technologies and Mathematics Middle East Conference

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University Mathematics: Is the University Mathematics: Is the MathMath

Path Right for You?Path Right for You?Necessary preparationNecessary preparation

Participants Participants

Time and DurationTime and Duration

Location and Organizing bodyLocation and Organizing body

Equipment and CostsEquipment and Costs

Funding SourcesFunding Sources

Page 4: 2 April 2007 Learning Technologies and Mathematics Middle East Conference1 University Mathematics: Is the Math Path Right for You? Rajaa AlTalli

2 April 2007 Learning Technologies and Mathematics Middle East Conference

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University Mathematics: Is the University Mathematics: Is the MathMath

Path Right for You?Path Right for You?Necessary preparationNecessary preparation

Participants Participants

20 to 50 Freshmen 20 to 50 Freshmen specializing in Mathematicsspecializing in Mathematics

Page 5: 2 April 2007 Learning Technologies and Mathematics Middle East Conference1 University Mathematics: Is the Math Path Right for You? Rajaa AlTalli

2 April 2007 Learning Technologies and Mathematics Middle East Conference

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University Mathematics: Is the University Mathematics: Is the MathMath

Path Right for You?Path Right for You?Necessary preparationNecessary preparation

Time and DurationTime and Duration

30 hour program during a 5 30 hour program during a 5 day periodday period

Page 6: 2 April 2007 Learning Technologies and Mathematics Middle East Conference1 University Mathematics: Is the Math Path Right for You? Rajaa AlTalli

2 April 2007 Learning Technologies and Mathematics Middle East Conference

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University Mathematics: Is the University Mathematics: Is the MathMath

Path Right for You?Path Right for You?Necessary preparationsNecessary preparations

Time and DurationTime and Duration

Summer prior to the beginning Summer prior to the beginning of the school yearof the school year

Page 7: 2 April 2007 Learning Technologies and Mathematics Middle East Conference1 University Mathematics: Is the Math Path Right for You? Rajaa AlTalli

2 April 2007 Learning Technologies and Mathematics Middle East Conference

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University Mathematics: Is the University Mathematics: Is the MathMath

Path Right for You?Path Right for You?Necessary preparationsNecessary preparations

Location and Organizing bodyLocation and Organizing body

Universities and collegesUniversities and colleges

Page 8: 2 April 2007 Learning Technologies and Mathematics Middle East Conference1 University Mathematics: Is the Math Path Right for You? Rajaa AlTalli

2 April 2007 Learning Technologies and Mathematics Middle East Conference

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University Mathematics: Is the University Mathematics: Is the MathMath

Path Right for You?Path Right for You?Necessary preparationNecessary preparation

Equipment and CostsEquipment and Costs

Lecture hall equipped with Lecture hall equipped with laptop, multimedia projector laptop, multimedia projector

and whiteboardand whiteboard

Page 9: 2 April 2007 Learning Technologies and Mathematics Middle East Conference1 University Mathematics: Is the Math Path Right for You? Rajaa AlTalli

2 April 2007 Learning Technologies and Mathematics Middle East Conference

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University Mathematics: Is the University Mathematics: Is the MathMath

Path Right for You?Path Right for You?Necessary preparationNecessary preparation

Equipment and CostsEquipment and Costs

Lecture hall rental fee and Lecture hall rental fee and professor’s stipendprofessor’s stipend

Page 10: 2 April 2007 Learning Technologies and Mathematics Middle East Conference1 University Mathematics: Is the Math Path Right for You? Rajaa AlTalli

2 April 2007 Learning Technologies and Mathematics Middle East Conference

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University Mathematics: Is the University Mathematics: Is the MathMath

Path Right for You?Path Right for You?Necessary preparationsNecessary preparations

Funding SourcesFunding Sources

Fees paid by individual Fees paid by individual participants and possible participants and possible

university or government grantsuniversity or government grants

Page 11: 2 April 2007 Learning Technologies and Mathematics Middle East Conference1 University Mathematics: Is the Math Path Right for You? Rajaa AlTalli

2 April 2007 Learning Technologies and Mathematics Middle East Conference

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University Mathematics: Is the University Mathematics: Is the MathMath

Path Right for You?Path Right for You?Daily program scheduleDaily program schedule

Subjects Subjects DuratiDuration on

Day Day 1 1

History and Philosophy of History and Philosophy of Mathematics Mathematics

6 6 hourshours

Day Day 2 2

Formal Mathematical Formal Mathematical Education Education

6 6 hourshours

Day Day 3 3

Mathematics at University Mathematics at University Level Level

6 6 hourshours

Day Day 4 4

The Branches of Mathematics The Branches of Mathematics 6 6 hourshours

Day Day 55

Mathematics and the other Mathematics and the other Sciences Sciences

6 6 hourshours

Page 12: 2 April 2007 Learning Technologies and Mathematics Middle East Conference1 University Mathematics: Is the Math Path Right for You? Rajaa AlTalli

2 April 2007 Learning Technologies and Mathematics Middle East Conference

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University Mathematics: Is the University Mathematics: Is the MathMath

Path Right for You?Path Right for You?Aims of the CourseAims of the Course

History and Philosophy of History and Philosophy of MathematicsMathematics

The beautiful and deeply-rooted The beautiful and deeply-rooted philosophy and history of philosophy and history of

Mathematics.Mathematics.

Page 13: 2 April 2007 Learning Technologies and Mathematics Middle East Conference1 University Mathematics: Is the Math Path Right for You? Rajaa AlTalli

2 April 2007 Learning Technologies and Mathematics Middle East Conference

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University Mathematics: Is the University Mathematics: Is the MathMath

Path Right for You?Path Right for You?Aims of the CourseAims of the Course

History and Philosophy of History and Philosophy of MathematicsMathematics

Analyzing and processing Analyzing and processing

mathematical information using mathematical information using mathematical methodsmathematical methods

Page 14: 2 April 2007 Learning Technologies and Mathematics Middle East Conference1 University Mathematics: Is the Math Path Right for You? Rajaa AlTalli

2 April 2007 Learning Technologies and Mathematics Middle East Conference

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University Mathematics: Is the University Mathematics: Is the MathMath

Path Right for You?Path Right for You?Aims of the CourseAims of the Course

Formal Mathematical EducationFormal Mathematical Education

Determining prior knowledge Determining prior knowledge

to fix any weakness or gaps to fix any weakness or gaps

Page 15: 2 April 2007 Learning Technologies and Mathematics Middle East Conference1 University Mathematics: Is the Math Path Right for You? Rajaa AlTalli

2 April 2007 Learning Technologies and Mathematics Middle East Conference

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University Mathematics: Is the University Mathematics: Is the MathMath

Path Right for You?Path Right for You?Aims of the CourseAims of the Course

Mathematics at University LevelMathematics at University Level

Giving an overview of a Giving an overview of a university mathematics university mathematics

curriculumcurriculum..

Page 16: 2 April 2007 Learning Technologies and Mathematics Middle East Conference1 University Mathematics: Is the Math Path Right for You? Rajaa AlTalli

2 April 2007 Learning Technologies and Mathematics Middle East Conference

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University Mathematics: Is the University Mathematics: Is the MathMath

Path Right for You?Path Right for You?Aims of the CourseAims of the Course

Mathematics at University LevelMathematics at University Level

TThe importance of course he importance of course planning to smooth future planning to smooth future

obstacles in university studies.obstacles in university studies.

Page 17: 2 April 2007 Learning Technologies and Mathematics Middle East Conference1 University Mathematics: Is the Math Path Right for You? Rajaa AlTalli

2 April 2007 Learning Technologies and Mathematics Middle East Conference

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University Mathematics: Is the University Mathematics: Is the MathMath

Path Right for You?Path Right for You?Aims of the CourseAims of the Course

The Branches of MathematicsThe Branches of Mathematics

An overview of the branches of An overview of the branches of Mathematics and their Mathematics and their

interrelatednessinterrelatedness

Page 18: 2 April 2007 Learning Technologies and Mathematics Middle East Conference1 University Mathematics: Is the Math Path Right for You? Rajaa AlTalli

2 April 2007 Learning Technologies and Mathematics Middle East Conference

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University Mathematics: Is the University Mathematics: Is the MathMath

Path Right for You?Path Right for You?Aims of the CourseAims of the CourseMathematics and the other SciencesMathematics and the other Sciences

Applying Mathematics in other Applying Mathematics in other Sciences and using mathematical Sciences and using mathematical

skills in other disciplines. skills in other disciplines.

Page 19: 2 April 2007 Learning Technologies and Mathematics Middle East Conference1 University Mathematics: Is the Math Path Right for You? Rajaa AlTalli

2 April 2007 Learning Technologies and Mathematics Middle East Conference

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University Mathematics: Is the University Mathematics: Is the MathMath

Path Right for You?Path Right for You?Important points of detailImportant points of detail

History of MathematicsHistory of Mathematics

Latin origin of the word Latin origin of the word “mathematics”“mathematics”

Mathematicians such as Mathematicians such as EuclidEuclid,,GaloisGalois …… ……

Page 20: 2 April 2007 Learning Technologies and Mathematics Middle East Conference1 University Mathematics: Is the Math Path Right for You? Rajaa AlTalli

2 April 2007 Learning Technologies and Mathematics Middle East Conference

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University Mathematics: Is the University Mathematics: Is the MathMath

Path Right for You?Path Right for You?Important points of detailImportant points of detail

Philosophy of MathematicsPhilosophy of Mathematics

Axiomatic approach Axiomatic approach

Metamathematics or Proof Theory Metamathematics or Proof Theory

Page 21: 2 April 2007 Learning Technologies and Mathematics Middle East Conference1 University Mathematics: Is the Math Path Right for You? Rajaa AlTalli

2 April 2007 Learning Technologies and Mathematics Middle East Conference

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University Mathematics: Is the University Mathematics: Is the MathMath

Path Right for You?Path Right for You?Important points of detailImportant points of detail

Formal Mathematical Formal Mathematical EducationEducation

Number systems Number systems

Set theory Set theory

Euclidian geometry Euclidian geometry

Relations and functions Relations and functions

Page 22: 2 April 2007 Learning Technologies and Mathematics Middle East Conference1 University Mathematics: Is the Math Path Right for You? Rajaa AlTalli

2 April 2007 Learning Technologies and Mathematics Middle East Conference

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University Mathematics: Is the University Mathematics: Is the MathMath

Path Right for You?Path Right for You?Important points of detailImportant points of detail

Mathematics at University Mathematics at University LevelLevel

Boolean algebraBoolean algebra

Linear system Linear system

Matrices and matrix algebra Matrices and matrix algebra

Vector spaces Vector spaces

Page 23: 2 April 2007 Learning Technologies and Mathematics Middle East Conference1 University Mathematics: Is the Math Path Right for You? Rajaa AlTalli

2 April 2007 Learning Technologies and Mathematics Middle East Conference

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University Mathematics: Is the University Mathematics: Is the MathMath

Path Right for You?Path Right for You?Important points of detailImportant points of detail

The Branches of MathematicsThe Branches of Mathematics

Pure mathematics and Applied Pure mathematics and Applied mathematicsmathematics

Galois theory and Polynomial Galois theory and Polynomial equationsequations

Page 24: 2 April 2007 Learning Technologies and Mathematics Middle East Conference1 University Mathematics: Is the Math Path Right for You? Rajaa AlTalli

2 April 2007 Learning Technologies and Mathematics Middle East Conference

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University Mathematics: Is the University Mathematics: Is the MathMath

Path Right for You?Path Right for You?Important points of detailImportant points of detail

Mathematics and the other Mathematics and the other SciencesSciences

Mathematical laws of planetary motionMathematical laws of planetary motion

Mathematics and ArtsMathematics and Arts

Page 25: 2 April 2007 Learning Technologies and Mathematics Middle East Conference1 University Mathematics: Is the Math Path Right for You? Rajaa AlTalli

2 April 2007 Learning Technologies and Mathematics Middle East Conference

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University Mathematics: Is the University Mathematics: Is the MathMath

Path Right for You?Path Right for You?

THANK YOUTHANK YOU