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Upper secondary school
M.Sc. Lauri Hellsten ( laurihellsten)
math and physics teacher (9 years in the profession)
working in the University of Helsinki regarding assessment and in-service teacher training
updating education in ICT, curriculum and assessment
CC BY SA naosuke ii
CC BY SA naosuke ii
New national curriculum 2015
Digital matriculation exam (math 2019, chemistry & physics 2018)
1. semester
2. semester
3. semester
1. period
2. period
3. period
4. period
5. period
min. 75 courses and usually 3 years
usually 6 + 1 weeks
5 - 7 courses,
1 course = 3 x 75 min per week
Matriculation exam at the end, min. 4 exams
"A student´s assessment is to guide and encourage learning and develop the student's capacity for self-evaluation."
- Basic Education Act and the Upper Secondary Schools Act of 1998 (translated)
Autonomy
Mastery
Purpose
(Competence)
(Relatedness)
Daniel H. Pink The Surprising Truth About What Motivates Us
Server
Router
Students laptop, booted from an USB-stick
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 given | Student answers | max. points |
---|---|---|---|
A | 4 | 4 | 48 |
B1 | 5 | 3 | 36 |
B2 | 4 | 3 | 36 |
120 p
math-demo.abitti.fi (opensource)
KCalc
Everything in part A and
Finnish Association of STEM-teachers has been training in-profession teachers from 2015 onward on the new curriculum and digital matriculation exam. There has been approximately 40 training days each semester all over Finland that the Finnish national board of education has financed.
problems given to teachers, students and examples of
interactive materials from digital books
+ Self-assesment during the course
Example problem from MAOL training material; Hellsten, Setälä, Mäkiö
How high is the highest pyramid made of spheres when four have the radius of 1 and one has the radius of 2?
Three circles tangent to one another as seen in the picture below. Centerpoints of the circles are A, B and C and the radius of the circles are 1, 2 and 3. What is the radius of the largest circle inside these three circles?
Example problem from MAOL training material; Hellsten
Hero swims at speed v and monster runs at speed 4v. The hero knows he can outrun the monster if he can get to the shore safely. Can the hero escape?
Example problem from MAOL training material; Hellsten
Radius of the lake is 2 and it's centerpoint is (0,0).
Example problem from MAOL training material; Hellsten
Long story short: What is the max volume when you know the sides but don't know the angle or when you know the angle but don't know the sides?
How does the population of bacteria change over time? Make the necessary assumptions and create a model
From book MAB4: Matemaattiset mallit; Hellsten, Hellsten, Luisto; Tabletkoulu
From book Resonanssi 3: Haapola, Hellsten, Huuska, Viitanen; e-Oppi
From book Resonanssi 4: Haapola, Hellsten, Huuska, Viitanen; e-Oppi
From book Resonanssi 4: Haapola, Hellsten, Huuska, Viitanen; e-Oppi
In-development material from Resonanssi 6: Haapola, Hellsten, Huuska, Viitanen; e-Oppi
Old physics matriculation exam problem solved; Hellsten
“The use of ICT changes the role of the teacher, who will be more of a facilitator guiding the students' learning processes than a knowledge provider. The time allocated for the teacher and the pupil to meet in is too valuable to be spent solely on information distribution. The teacher is required to command new skills and to adapt a new approach, which in turn generates pressure on the basic and continuing education of teachers.”
Finnish National Board of Education review, 2011 (translated)
The teacher guides the student to identify what the studied topic is about and compare their own perceptions and views on the whole.
Unit 1
Self-assessment
1A
passed
Unit 2
Self-assesment
2A
failed
Self-assessment
2A
failed
passed
passed
Guidelines for the course; Peura, Hellsten
Text
Self-assessment form created with Google Sheets; Peura, Hellsten
Solve the problem.
Evaluate your own solution with the given criteria.
Polku-material; Peura, Hellsten
flippedlearning.fi
polku.opetus.tv
tabletkoulu.fi
e-oppi.fi
eyl.fi
maot.fi
eduhakkerit.fi
bit.ly/fyohjeita
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