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Lauri Hellsten ( laurihellsten, lauri.k.hellsten@gmail.com)
Espoon yhteislyseo Upper secondary school
University of Helsinki
What have we learned?
CC BY SA naosuke ii
CC BY SA naosuke ii
Digital matriculation exam (math 2019, chemistry & physics 2018)
The digital matriculation exam in math has been held one time to this day.
Server
Router
Students laptop, booted from an USB-stick
Name | Name |
---|---|
Casio ClassPad Manager* | wxMaxima* |
Dia | Texas Instruments TI-Nspire CAS* |
GeoGebra 5* ja 6* | SpeedCrunch |
GIMP | Pinta |
GNOME- | Okular |
Inkscape | MarvinSketch |
KCalc | Mousepad |
LibreOffice | LoggerPro* |
MAOL formula tables |
Multiple choice and ordering problems containing minimal or no mathematical notation.
Problems that require small amount of mathematical notation and basic understanding from the courses.
Problems that require versatile knowledge and skills of mathematics from different courses and also problem solving skills.
Some of the problems of type 1 and 2 are to be done without CAS-calculators or spreadsheet programs.
Student can participate in the A-level (10+3 courses) or B-level (6+2 courses) math exam. The structure of the exam is the same in both level exams.
Part | Problems to choose from | Student answers | max. points |
---|---|---|---|
A | 4 | 4 | 48 |
B1 | 5 | 3 | 36 |
B2 | 4 | 3 | 36 |
120 p
” The matriculation exam has to measure knowledge, skills and maturity according to the curriculum. Not the skill in solving textbook problems." (translated)
Peter Hästö, head of mathematics in the matriculation exam board. kalvot
“ You can not practice or measure problem solving with problems you are familiar with! New problem types is the goal! ... The goal is to make as much of different type of problems that one is unable to remember or learn them all. "(translated)
"If it is in my hands, in the future we will see more 'nonstandard' problems where one has to apply the knowledge rather than produce routine solutions. ...
There was criticism about the problem in the B-level math (2012) where one has to find the zero point of the function \( f(x)=\dfrac{x+3}{x^2-4} \). The criticism was about these types of problems aren't taught in the B-level math."
Peter Hästö, head of mathematics in the matriculation exam board. Dimensio 4/2013.
"I think this problem is good because students don't practice these types of problems in the classroom. In the problem you need to apply information you know in a slightly different context, ..." (translated)
\( \longrightarrow \) a software can be used to formulate any claim, but not to justify the truthfulness of it.
math-demo.abitti.fi (opensource)
SpeedCrunch and KCalc and Gnome
Everything in part A and
Text
\( (5,2) \)
Let the circumference of a triangle be p and the area of it A. Let there be an another triangle that is equilatelar and its circumference also be p and its area B. Show that A \( \leq \) B.
https://www.ylioppilastutkinto.fi/ma (finnish and swedish)
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