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Mathematical topics taught in High schools: Trend and Prospective (Albanian case) PhD. Eralda GJIKA; Ph.D Besiana ÇOBANI | Albanian Mathematical Association-AMA | Albania Participation at MYMC 2018/ 18-21 July 2018 Rome, Italy Mathematical Topics Taught in High Schools in Albania Hypothesis Calculus- limits, continuity, derivatives and integrals. Algebra- polynomials, equation of first and second order, discriminants, Vietta formulas. NO Matrices Geometry- Euclidean geometry in plane, surface, volumes of important figures and solids. Tangent line equation, normal equation of the basic geometry figures. NO stereometry. Probability and Statistisc combinatorics, descriptive statistics, events, Baye’s theorem, random variables. The teacher goes straight to the point. No applied examples of the concept is given leading to a non- motivated student. The program is strictly followed (due to periodic authority control) The lack of logistic technology in a class which avoids the students approach to the practical use of mathematical concepts. The pressure of the final state exams obligate the teacher to follow a specific program, avoiding the general knowledge of the subject. Homework discussion is limited not allowing the assimilation of knowledge. Limit Velocity examples Given the position function of a moving object, find the velocity of the object at a certain instant in time. Derivative Population growth example Given the population function of a group of organisms, find the growth rate of the population at a particular instant. Integral Probability density example Given that the time X, a machine stays out of order follows an exponential distribution with mean A find the probability that the time it spends out of order is less than k seconds. Technology in learning math Technology Low rate of Homework discussion Homewrok Final state exam pressure Final exam Application through software Application Data / Observations Results The Methodology Used in High School In the last year many workshops and pilot projects are focused on training teachers to attract students to science by creating lab’s for math applications. The new Master of Science in Informatics for High Schools teachers, program opened as a necessity of introducing technology to science. Every new concept should start with a practical example. Increase students attention asking practical examples by them. “Less is more”, Less exercises given, more discussion and practical examples. Use of mathematical software's: MATLAB; GeoGebra; Excel etc. Trends and Prospective Issues on Math Teaching in Albania In Albania math is mostly pure mathematical. The teacher does it all” . He teaches, he solves, he asks questions avoiding discussions with students. The student takes the knowledge given by the teacher , without asking the main question “Why?” The practical use of math is avoided in almost every high school.

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  • Printing:Mathematical topics taught in High schools:

    Trend and Prospective (Albanian case)PhD. Eralda GJIKA; Ph.D Besiana ÇOBANI | Albanian Mathematical Association-AMA | Albania Participation at MYMC 2018/ 18-21 July 2018 Rome, Italy

    Mathematical Topics Taught in High Schools in Albania

    Hypothesis

    • Calculus- limits, continuity, derivatives and integrals.• Algebra- polynomials, equation of first and second

    order, discriminants, Vietta formulas. NO Matrices• Geometry- Euclidean geometry in plane, surface,

    volumes of important figures and solids. Tangent line equation, normal equation of the basic geometry figures.NO stereometry.

    • Probability and Statistisc – combinatorics, descriptive statistics, events, Baye’s theorem, random variables.

    • The teacher goes straight to the point. No applied examples of the concept is given leading to a non-motivated student.

    • The program is strictly followed (due to periodic authority control)

    • The lack of logistic technology in a class which avoids the students approach to the practical use of mathematical concepts.

    • The pressure of the final state exams obligate the teacher to follow a specific program, avoiding the general knowledge of the subject.

    • Homework discussion is limited not allowing the assimilation of knowledge.

    LimitVelocity examples

    Given the position function of a moving object, find the velocity of the object at a certain instant in time.

    DerivativePopulation growth

    example

    Given the population function of a group of organisms, find the growth rate of the population at a particular instant.

    IntegralProbability density

    example

    Given that the time X, a machine stays out of order follows an exponential distribution with mean A find the probability that the time it spends out of order is less than k seconds.

    Technology in learning math

    Technology

    Low rate of

    Homeworkdiscussion

    Homewrok

    Final state exam pressure

    Final exam

    Application through software

    Application

    Data / Observations

    Results

    The Methodology Used in High School

    • In the last year many workshops and pilot projects are focused on training teachers to attract students to science by creating lab’s for math applications.

    • The new Master of Science in Informatics for High Schools teachers, program opened as a necessity of introducing technology to science.

    • Every new concept should start with a practical example.• Increase students attention asking practical examples by

    them.• “Less is more”, Less exercises given, more discussion and

    practical examples.• Use of mathematical software's: MATLAB; GeoGebra;

    Excel etc.

    Trends and Prospective

    Issues on Math Teaching in Albania

    • In Albania math is mostly pure mathematical.• “The teacher does it all” . He teaches, he solves, he asks

    questions avoiding discussions with students.• The student takes the knowledge given by the teacher ,

    without asking the main question “Why?”• The practical use of math is avoided in almost every

    high school.