wp2 18-07-2016
TRANSCRIPT
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File Name WP 2 Teaching Method and Flexible Tools
Research and mapping in Romania
Date 30.05.2016OrganizationVersion V01Storage
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INDEX
1. Comparative studies;2. Examination with questionnaires on the use of innovative tools on computational thinking and coding Searching and sharing of good practices;3. Good practices4. Materials for teachers and students
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2.Searching and sharing of good practices
Please, describe 5 good practices with selection of innovative tools for students and teaching methods for teacher2.1Primary education; First stage of basic Education
2.2.Lower secondary education; Second stage of basic education2.3.(Upper) secondary education
2.1.Primary education; First stage of basic Education
NAME of the PROGRAM/PROJECT
Learn English (Kids)
RESPONSIBLE INSTITUTION
British Council
PARTNERS: teachers, parents, kids, teenagers
SHORT DESCRIPTION:
The website dedicated to young learners is part of a larger website
(http://learnenglish.britishcouncil.org/en/). It can be used by anyone (kids, parents and
teachers) and there's no need to have a user account. You do get access to more resources
by creating your own account, but there is plenty of material to use anyway. It consists of
educational activities for young students to learn or for teachers to teach English (Listen &
Watch, Read & Write, Speak & Spell, Grammar, Kids' Games, Make). It is advertised by
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newsletters sent to registered users.
WEBSITE
http://learnenglishkids.britishcouncil.org/en/?utm_source=lekids&utm_medium=header-
tab&utm_campaign=learnenglish-kids
CONTACTS FOR INFORMATION
There is a website section consisting of answers to FAQ (frequently asked questions). If no
mention is made of one particular problem, there's an option of filling in a contact form
with details concerning your identity, the topic of your message (chosen from a drop-down
list) and the actual contents of your message.
NAME of the PROGRAM/PROJECT
http://www.cambridgeenglish.org/learning-english/games
RESPONSIBLE INSTITUTION
www.cambridgeenglish.org
PARTNERS:
Cambridge English Helpdesk
Cambridge English Teacher
Cambridge English Penfriends
Cambridge English Schools
SHORT DESCRIPTION:
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It is a platform dedicated to learning and/or teaching English through a variety of
educational games and activities, meant to make it easier both on the students to learn and on
the teachers to teach English.
It consists of vocabulary games in which a monkey gets ready for a long journey and
it has to pass one level to move to the next stage of its adventure. Students have to solve
different tasks, such as:
● identify different objects according to their characteristics (the ”ball” next to
the ”kite”, as opposed to another ”ball”, which is opposite the ”house”) and colour them
according to the instructions
● match the image with the correct word and remember the order in which they
appear in a grid
● find the word which best fits a description
● solve one level to unlock the next one
● reach a certain number of points
Another, more topic-related version of this game, based on the same principle of completing one level to get to the next one, refers to an alien who graduates from the English Academy. The final destination is a castle and the alien has to go through Noun Town, Pronoun Town, Plural Town, Simile Town, Adjective Village and Vowel Ville, with different levels within each of them. Games vary from dual choice to multiple choice questions, filling in blanks, choosing the best answer for a specific question, and so on.
WEBSITE
http://www.cambridgeenglish.org
CONTACTS FOR INFORMATION
Teachers, examination centers and preparation centers can use a link to embed the games on
their own website or blog.
The http://www.cambridgeenglish.org website is hosted by the British Council
website. The British Council has Romanian affiliates in the following cities: Bucharest, Iasi,
Cluj Napoca and Timisoara.
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2.3.(Upper) secondary education
NAME of the PROGRAM/PROJECTAELRESPONSIBLE INSTITUTIONSIVECO Romania SAPARTNERS:MECTSSHORT DESCRIPTION:AeL is a modern eLearning solution which offers various management and presentation facilities for different types of educational content, such as interactive multimedia materials, interactive guides, exercices, simulations and tests. It is a modern, computer-assisted learning method. It does not require the student's physical presence in the laboratory – he/she can use it either at school or at home.Students connect to the application by means of a username and a password.The platform consists of several modules.The “Teaching” module contains administration, planning, designing and topic options. Each course is planned according to the learning method:- Synchronous – the course is held by a trainer in a virtual classroom- Asynchronous – students can attend the course without entering a virtual classroomIn order to administer Created and/or Planned courses, click on the link Administrare cursuri (Course administration) in the {Predare} (Teaching) menu and choose the Administrare Cursuri option (Course Administration). Select a course and the desired option.The trainers /teachers can also makes notes of absences and grades.The “Invatare” (Learning) module consists of optional courses, course reports and existing courses.The “Spatiu de lucru” (Workspace) module stores and filters a large amount of information/lessons. The user is granted access to their own directory and to their public directory as well, and can administer the existing documents.Lessons are created by using the “Editorul de lectie” (Lesson editor) - “Creare lectie” (Lesson creation).This option enables the user to organize their own materials in one lesson, which is published as a course.In order to create a lesson within the [Materiale educaţionale personale] (Personal educational materials) directory, the following steps must be taken:- Choose the [Materiale educaţionale personale] (Personal educational materials) directory within the navigation menu.- Choose Operaţii pe Materiale educaţionale (Operating educational materials)- Click on the [Creare] (Create) button
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- Choose the Creare lecţie (Create lesson) option- Insert the name of the lesson- Click on the [OK] button.Within the Proprietăţile lecţiei (Lesson properties) tab, the user can change the name of the lesson and associate fields and levels.The test editor is used to create assessment tests which can be inserted in synchronous or asynchronous lessons.In order to design a test by using the QTI editor, the following steps must be taken:
- Open Workspace ()Spatiul de lucru/ My workspace (Spaţiul meu de lucru) / Personal Educational Materials (Materiale Educaţionale Personale) / Create / Create test
- Insert the name of the test and hit [OK]- A page will open, called “Creează test” (Create a test)- The left side of the page contains the properties of the test: navigation, shuffling,
partial score, time limit, objectives, resources, preview, view test and results, save, back.
- In order to add a question/ an item to the test, choose the Add (Adauga) option from the Questions (Întrebãri) menu. A drop-down menu opens, consisting of different types of questions/items.
Items from other tests can also be inserted. Items can also be modified, deleted, multiplied or moved.Resources can also be added to a test. In order to do this, simply click on Resurse (Resources) in the general properties tab. The Resurse (Resource) page will open. Resources may be of the following types:- images, in one of the following formats: jpg, jpeg, gif, bmp, png.- audio, in one of the following formats: wav, mp3, wma, aac, au.- video, in one of the following formats: wmv, avi, mpg, mpeg, mpv, mov, flv, swf.The “Administrare” (Administration) module is used to administer users, groups, and assigned roles.AeL facilitates understanding of contents and increases learning efficiency.WEBSITEhttp://advancedelearning.com/CONTACTS FOR INFORMATIONForum - http://forum.portal.edu.roTELVERDE: 0800 0800 05E-mail: [email protected] information:SIVECO Romania SAVictoria Park73-81 Bucureşti-Ploieşti Highway,Building C4, Sector 1, code 013685, Bucharest Tel: +40 (21) 3023300Fax: +40 (21) 3023391www.siveco.rowww.advancedelearning.com
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www.educreativ.roSecretariat: [email protected] & PR: [email protected]
NAME of the PROGRAM/PROJECT
ORACLE
RESPONSIBLE INSTITUTION
Oracle Academy
PARTNERS:
With more than 420,000 customers and deployments in more than 145 countries, Oracle offers a
comprehensive and fully integrated stack of cloud applications, platform services, and
engineered systems.
SHORT DESCRIPTION:
The Oracle Academy provides training courses for teachers and students alike, in an interactive,
attractive and comprehensible manner, while allowing total, real-time feedback.
For online access to the training courses provided by the Oracle Academy follow the link below:
https://academy.oracle.com/index1.html --> Student sign in
Fill in the registration data.
Access the Profile tab or the link https://profile.oracle.com/myprofile/account/create-
account.jspx and fill in the profile. After login you will have access to the training courses for
which you have registered.
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The course consists of two sections:
● Oracle Academy Database Design – Student
● Oracle Academy Database Programming with SQL – Student
Each lesson ends with a set of quizzes to pass.
At the end of each section there is an intermediary exam and a final one at the end of the course,
which students must pass in order to graduate from the training courses.
The exams are passed along with other students under close supervision of the trainer.WEBSITEhttps://academy.oracle.comhttps://www.facebook.com/oracle
CONTACTS FOR INFORMATION
For further contacts follow the link below:
https://academy.oracle.com/en/about-contact-us.html
For further information follow the link below:
https://www.oracle.com/corporate/index.html#info
In Romania there is:
ORACLE ROMANIA
Address: 169A FLOREASCA AvenueCity: Bucharest, Sector 1County: BucharestRomania
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NAME of the PROGRAM/PROJECT
The W3Schools online platform
www. w3schools.com / http://www.w3schools.org.in/
RESPONSIBLE INSTITUTION
http://www.w3schools.org.in/
PARTNERS:
SHORT DESCRIPTION:
The W3Schools platform is a learning management system. There is a useful
tutorial for teaching the HTML language at www. w3schools.com . This website
also hosts other useful tutorials for teaching XHTML, CSS, XML,
JAVASCRIPT, ASP, PHP, SQL.
It contains over 100 examples of code sequences in HTML. It is possible to
edit the HTML code and to view the result by clicking the Edit and click me
button. By clicking this button we can basically view the webpage the way in
which it would be visible if opened by means of a browser. These are the steps
which must be taken in order to access the HTML language tutorial:
Access www. w3schools.com ;
Choose the Learn HTML link;
We will be granted access to a list of links divided into the following
categories: HTML Basic, HTML Advanced, HTML Examples and
HTML References which describe some basic actions regarding the
HTML language, as well as advanced notions, examples and references;
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Access the link of our choice, for example HTML HOME;
Click on Try it yourself to access a work window to the left of which
there is the HTML editor, and on the right side we can see the result by
clicking on the Edit and Click Me button;
Edit the code of our choice in the HTML editor;
Click on Edit and click Me to view the result.
There are also some assessment quizzes which can be used in order to test
the students' acquisitions. Just click on Start the HTML Quiz.
W3Schools is a programme which can be used for online certification. In
order to obtain this certificate, follow the HTML Certificate link, or test your
knowledge of XHTML and CSS.
Examinations are held in an organized environment and there must be one
supervisor. There are 70 multiple or dual-choice items and the time limit is 70
minutes. The examination is passed if there are at least 75% correct answers. The
examination language is English. If a student answers over 95% of the questions
correctly, they will get a further Excellency Degree which will be added to their
certificate.
WEBSITEwww. w3schools.com
CONTACTS FOR INFORMATION
NAME of the PROGRAM/PROJECT
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MOODLE(https://www.moodle.ro/ https://edu.moodle.ro/)
RESPONSIBLE INSTITUTION
Moodle Pty Ltd (also known as the Moodle Headquarters or the Moodle Trust, located in Perth, West Australia), is an Australian company which develops the largest part of the Moodle core;
In Romania there is the EDU Moodle România network.
PARTNERS:
Moodle is an Open Source software kit.
Basically, the Moodle project consists of a series of distinctive elements which are however interconnected, such as:
the Moodle software;Moodle Pty Ltd (also known as the Moodle Headquarters or the Moodle Trust,
located in Perth, West Australia), an Australian company which develops the largest part of the Moodle core;
the Moodle community, a free network with over one million registered users who interact through the website of the Moodle community to share ideas, codes, information and free support;
the Moodle partners' network, which constitutes the commercial part of the Moodle environment and ensures the largest amount of money used for financing Moodle Pty Ltd.
The EDU Moodle România network is a school community, which develops an innovative and interactive virtual environment to promote high-quality education within the European society of knowledge.
SHORT DESCRIPTION:
Moodle is an Open Source software kit, a Content Management System - CMS, a
Learning Management System - LMS, as well as a Virtual Learning Environment - VLE.
Moodle is a learning platform (e-learning), initially developed by Martin Dougiamas
to help teachers create online courses focused on interaction and collaborative constitution of
the educational contents, which is still developing.
This software, which is used to create online courses, can be set up on any computer
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which can support PHP, and it can handle a database of the SQL type (such as MySQL). It
can run on Windows, Mac OS, Linux, etc.
Moodle requires no changes when running in Unix, Linux, FreeBSD, Windows, Mac
OS X, NetWare and in any other system which handles PHP and a database.
Moodle is easy to administer, it offers management for online courses and registered
users and the opportunity to add new functions to a website which uses Moodle. It has multi-
language support, chat and forum.
The Moodle Romania e-learning platform offers a socializing and communication environment, electronic courses and assessment and participants have the opportunity to learn together. There are 5 levels of access which are implicitly defined within the application:
● Administrator: full rights over the application● Trainer: the right to administer the resources and activities available for the
course which the person trains● Tutor: the right to add and modify courses● Trainee: the right to attend a course● Guest: limited rights.
WEBSITE
https://www.moodle.ro
CONTACTS FOR INFORMATION
In Romania:
The EDU Moodle România networkAddress: 91, Revolutiei Blvd. ap. 10, Arad, Romania, the EU
MANAGEMENTManager of the Moodle Community in RomaniaTechnical manager of EDU Moodle RomaniaCosmin Herman - [email protected]
Manager of Edu Moodle RomaniaCarmen Epure: [email protected]
SECRETARIATEma Vuculescu: [email protected], +40371067211
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Support for EDU Moodle [email protected]
NAME of the PROGRAM/PROJECT
European Computer Driving Licence (ECDL)
RESPONSIBLE INSTITUTION
ECDL ROMANIA
PARTNERS:
The ECDL/ICDL programme is administered at a global level by the ECDL Foundation, with headquarters in Dublin, Irlanda.
The ECDL Foundation is a not-for-profit organization, the role of which is to promote, develop and certify IT knowledge and computer skills.
SHORT DESCRIPTION:
ECDL – European Computer Driving Licence is an internationally recognized standard used to
certify computer skills.
ECDL ROMANIA is the only entity authorized by the ECDL Foundation and ATIC to promote and develop the concept of ECDL in Romania and the Republic of Moldova.Candidates are only trained and tested within specific centers authorized by ECDL ROMANIA, by using standard ECDL tests.
Training and testing centers can be teaching establishments (universities, highschools, schools),
administration training centers, professional training centers in all of the important cities in the
country.
The ECDL certificate awarded in Romania is valid in 150 countries worlwide, provided that those countries recognize the ECDL/ICDL standard.
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The ECDL certificate can be obtained by anyone (young people, pupils, students, clerks or company employees) who want to have their computer skills certified and recognized at an international level.
In schools training is conducted by ECDL trainers (informatics teachers who have been tested to become ECDL trainers).
Exams are held online in informatics laboratories authorized by ECDL, provided that they have a functional surveillance camera to be used during the examination. ECDL Romania conducts online monitorization from its local headquarters in Bucharest.
In order to get an ECDL authorization as a testing center, an informatics laboratory must be endowed with a functional surveillance camera which complies with certain ”technical specifications”, as well as with computers ”which must support the automated testing application”.
Students access the ECDL automated testing application : http://certificare.ecdl.ro/
by using customized usernames and passwords and they have 45 minutes to complete their testing
applications.
The final number of points is shown at the end of the test. It must be at least 75%.
ECDL PROFIL START BAC and ECDL PROFIL BAC certifications are dedicated to those students
who want to have their computer test at the end of their highschool years certified by the ECDL
certificate.
The ECDL PROFIL START BAC certificate can be obtained after having passed four compulsory
modules: Use of a computer, Online tools, Text editing, Tables.
The ECDL PROFIL BAC certificate can be obtained after having passed six compulsory modules:
Use of a computer, Online tools, Text editing, Tables, Databases, Presentations.
A student who obtained the ECDL PROFIL START BAC certificate can be recognized as an
ADVANCED USER at their BAC examination for computer skills.
A student who obtained the ECDL PROFIL BAC certificate can be recognized as an PROFICIENT USER at their BAC examination for computer skills.
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ECDL trainings can be attended by students starting from the 9th grade.
At an international level, there are 14 milion people registered in this programme, with over 250.000 candidates in Romania alone, who have and are going to take the ECDL certificate.
WEBSITE
http://www.ecdl.org.ro/
CONTACTS FOR INFORMATION
Address: 8-10 Grivitei Road, 6th Floor,Bucharest, Sector 1, 010701, Romania(TRN J40/2422/2002, URC RO14541553)Tel: +4021 316 9922;Fax: +4021 319 7227E-mail: [email protected]
The equivalent of the ECDL programme outside Europe is known as ICDL - International Computer Driving Licence.
4.Materials for students
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THE PREPARATORY GRADE
1. Add and substract the dots on the wings of each butterfly. Color the butterfly which has an even result on each wing.
7 + 2 = 9 _________________________________________________________________________
7 – 2 = 5 _________________________________________________________________________
2. Write in the box the number which is 2 less than the number of means of water transport in the image below.
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3. On a tray there are 28 . Ana takes away 3 . How many are left on the tray?
Solution
4. Take a close look at the rooster. Then write in the grid the numbers which you can recognize in the drawing.
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5. Make the calculations and color the box which contains the correct answer:
1057
9 8 10
987
64 5
246
754
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FIRST GRADE
1. Solve the following problems:
____________________________________________________________________________________
=+
=+
=+
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2. Color the cherry with the largest sum, red and the cherry with the smallest sum, yellow:
27
39 1 8 6 33 93 44 5 20 50 19 743. 6 squirrels played in a tree. One of them got scared and ran away deep inside the forest.
How many squirrels are left in the tree?
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4. Make the calculations and draw a line between each substraction and the cloud which contains the correct result. Color the clouds the results of which are higher than 5.
5. Which shape is not a frame?
A. B. C. D. E. F.
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SECOND GRADE
1. Find the way to the tree by connecting the circles which contain even numbers.
64 17 42
2. Bugs Bunny is gathering food. Help him add the carrots, by adding them:
41 8= 15 + 19 = 27 – 9 =
3. The cricket and the ant played dominoes. Help them calculate their points. Color the odd results.
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4. Take a close look at the balance below!
How many pears must be placed on the second balance?------------------------------------------------------------------------------------------------------------------------
------------------ ------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
5. I eat fruit every day: Monday Tuesday Wednesday Thursday Friday Saturday Sunday
Tomorrow I’ll eat some bananas. What day was yesterday?
A) Monday B) Tuesday C) Wednesday D) Thursday E) Saturday.
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THIRD GRADE
1. Can you identify the shapes?
Fill in the grid with the correct numbers!
2. In an apple weighs as much as two bananas, how many bananas are needed on the balance?
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3. Make the calculations and color the circles red for even results, and orange for odd results.
4. SHAPEY the robot is made of shapes. Write T, if the sentence is true and şi F, if the sentence is false.
➢ SHAPEY HAS 6 ......
➢ THE NUMBER OF EQUALS THE NUMBER OF ......
➢ THE NUMBER OF IS 4 LESS THAN THE NUMBER OF ................
➢ SHAPEY IS MADE OF A TOTAL NUMBER OF 16 SHAPES. .........
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5 In grandma’s courtyard 3 hens had 9 chickens each. How many legs are there in my grandma’s courtyard?
A. 60 B. 54 C. 18 D. 24
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FOURTH GRADE
1. Take a close look at the chessboard and identify the fruit:
/////
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2. The thousand in the number 134 698 is twice as large as the number:
a) 2 b) 4 c) 6 d) 8
3. The difference between two numbers equals the product of 857 and 4. It is known that the minuend is 4 638, the subtrahend is ................ .
//4. At the Zoo there are 18 monkeys: 6 of them are chimpanzees and the rest are
gorillas. Every day a gorilla eats 7 bananas, and a chimpanzee eats 2 bananas less. How many bananas do the monkeys eat in one day?
5 Find the numbers a, b, c, d and e, given the following conditions:a) a is twice as high as b;b) c is 51 less than d and 17 less than b;c) d is three times smaller than e;d) the sum of the numbers is 2015.
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8th grade
1) Aurel, Felix and Claudiu have balls of different colours. One is blue, one is green and one is red.Felix is a friend of the owner of the green ball and a classmate of the owner of the blue ball.Claudiu and the owner of the blue ball would like to attend an athletic competition.Determine the owner and the colour of each ball.
Answers:Aurel is the owner of the ……………… ball. Felix is the owner of the ………………ball.Claudiu is the owner of the ……………… ball.
Correct answers: Aurel is the owner of the blue ball.Felix is the owner of the red ball.
Claudiu is the owner of the green ball.
2) On four shelves of a library there are books numbered according to the following string of numbers: 20, 27, 12, 17. Determine the number of the books on each shelf, given that the following sentences are true: a) There are not 20 books on the first shelf.b) There are 12 books on the second shelf.c) There are not 17 books on the third shelf.d) The fourth book has the highest number of books.
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Answers:On the first shelf there are………… books. On the second shelf there are ………… books.On the third shelf there are………… books.On the fourth shelf there are………… books.
Răspuns:On the first shelf there are…17……… books. On the second shelf there are …12……… books.On the third shelf there are…20……… books.On the fourth shelf there are…23……… books.
3) 4 couples of students in our school are attending a dancing competition. The girls' names are: Mia, Ioana, Lora and Ana. The boys' names are: Ene, Nae, Teo and Van.Determine the members of each pair, given the fact that:a) Van is Mia's brother.b) Lora has two brothers, but her partner is his parents' only child.c) Nae is Ana's partner.d) Mia and Teo used to be partners, but they separated when Teo met his current partner.
Answers:Mia is ……………….' s partner.Ioana is ……………….'s partner.Lora is ……………….'s partner.Ana is ……………….'s partner.Răspuns:Mia is Ene' s partner.Ioana is Van's partner.Lora is Teo's partner.Ana is Nae's partner.
4) WHO ATE THE JAME?Identify the “thief” knowing that only one of the children is telling the truth.1) Andrei: “One of the girls ate the jam.”2) Bianca: “Dorina ate the jam.” 3) Claudiu: “It wasn't me.”4) Dorina: “It was one of the boys.”
If only one of the children is telling the truth, then ............................. ate the jam.Answer:The truth value of the sentences:
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The “thief” 1) 2) 3) 4)Number of true sentences and number of false sentencesAndrei F F T T 2 T and 2 FBianca T F T F 2 T and 2 FClaudiu F F F T 1 T and 3 FDorina T T T F 3 T and 1 FIf only one of the children is telling the truth, then ... Claudiu ... was the one who ate the jam.
WHO BROKE THE VASE?5) One of the four brothers (Alina, Bogdan, Corina and Daniel) broke a vase.When their mother asks them who did it, they answer:1) Alina: “Bogdan broke the vase.”2) Bogdan: “Daniel broke it.”3) Corina: “I didn't do it.” 4) Daniel: “Bogdan is lying.”Identify the child who broke the vase, knowing that: a) only one child is lying;b) only one child is telling the truth.
a) If only one child is lying, it is ………………………and ……………………… broke the vase.b) If only one child is telling the truth, it is …………………..
and ……………………… broke the vase.
Answer:The truth value of the sentences:The child who broke the vase1) 2) 3) 4)Number of true sentences and number of false sentencesAlina F F T T 2 T and 2 FBogdan T F T T 3 T and 1 FCorina F F F T 1 T and 3 FDaniel F T T F 2 T and 2 Fa) If only one child is lying, it is … Bogdan ...and … Bogdan … broke the vase.b) If only one child is telling the truth, it is … Daniel ...and … Corina … broke the vase.
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7th grade
1) In the grid below there are 10 mathematical terms. Find them and write them in the space on the right. The words can be spelled downwards, upwards, from left to right, from right to left or diagonally.
E T E N I S R P F H I
L Î N O T A A O S A H
E D I A M E T R U N G
M L M O P B A C E D N
E A V P M O N I B F U
N V O O E I E I R A S
T T R E T E O R E M A
Answers:DIAMETRU, ROMB, SFERA, ELEMENT, SUMA, CUB, BINOM, TEOREMA, ARIE, UNGHI (DIAMETER, RHOMBUS, SPHERE, ELEMENT, SUM, CUBE, BINOMIAL, THEOREM, AREA, ANGLE)
2) Which number should replace the question mark?
Answer: 9
3) Which number should replace the question mark?
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Answer: 2
4) How can you write the following numbers: 23, only by using the figure 2? 34 only by using the figure 3? 56 only by using the figure 5? 100 only by using the figure 9? Note: You can use mathematical symbols to solve this problem.
Answers: 22+2/2=23 33+3/3=34 55+5/5=56 99+9/9=100
5) Use multiplication, division and addition of the natural numbers to write the figure 5, only by using the figure 2 four times.
Answers: (2 x 2) + (2 : 2 ) = 5 ( 2 : 2) + (2 x 2) = 5 (2 : 2 ) + 2 + 2 = 5
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6th grade
1) How many combinations are there for Valeria, Martin and Tina to sit on a 3-person bench?
Each on them could be the first one on the bench and any of the other two could sit right next to the first person.1 (the first), 2 (the second), 3 (the third)I.a) Valeria, Martin, Tina b) Valeria, Tina, MartinII.a) Martin, Valeria, Tina b) Martin, Tina, ValeriaIII.a) Tina, Valeria, Martin b) Tina, Martin, ValeriaThere is a total number of 6 combinations for the three children to sit on the bench.
2) Consider the following picture:
▪ Mara is sitting next to Ana, but not at the end of the table.▪ Irina is sitting at one end, but not next to Ana. ▪ Ana is on Mara's left, but not at the end.▪ Ileana is at one end, but not next to Mara.
Read the description and write the name on the corresponding tag.
Solution:The first piece of information reveals the fact that Mara is seated at one of the two middle
seats; according to the second statement Irina must sit on one of the two seats at the end of the table.
The third information is more clarifying: Ana is seated in the middle (because she is not at the end of the table), and the first part of the sentence is clear- «Ana is on Mara's left».
The last sentence shows that Ileana is seated at the end, but not next to Ana (according to the negation). Therefore, the correct order of the names on the tags is: Irina, Mara, Ana, Ileana.
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3) A RAGGED PROBLEMRAG's wearing a ragSitting on a rag next to a rag.How many rags are there?
Solution:Rag is the name of a dog made famous in a poem written by Tudor Arghezi, therefore it is not a torn piece of cloth, as in the other uses of the word. Therefore there are: one rag covering the dog, another rag on which the dog is sitting and another rog next to it, which means 1+1+1=3 rags in total.
4) TROUBLESOME DOTS Oana has a red dress with 11 white dots, and the three mushrooms she picked have 7, 5 and 6 white dots. How many white dots are there left, knowing the fact that her mother used cleaning powder to wash them?
Solution:There are the 7+5+6=18 white dots on the mushrooms, because Oana's mother only washed the dress, not the mushrooms.
5) When he reaches his football practice, Robert and three of his colleagues shake hands.How many times does Robert shake hands? How many hand shakes have there been?
Solution: 3 times
6) TIMEYou playedFor 98 minutes. You sang for 8 minutesYou ran for 14 minutes. There may be many minutes,But how many hours are there?
Solution: 2 hours
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5th grade
1) A father is 38 years old and his children are 8,6,4 and 2 years old. After how many years will the father's age equal the sum of his children's ages (at that time)?
Solution:
▪ At present, the children's ages amount to 20 years, which is 18 years less than the father's age. Each year the father's age increases by one each year, and the sum of the children's ages increases by four each year, therefore the difference of age decreases by 3 each year.
▪ 3+3+3+3+3+3=18 years.▪ Therefore 6 years would be necessary to get the required eqaulity.
2) A book has 100 pages. How many figures were necessary to number the pages of the respective book?
Solution:▪ There are 9 figures between 1 and 9. ▪ 99-9=90 ▪ Between 10 and 99 there are 90 numbers made of 2 figures each, 90+90=180 figures. ▪ The number 100 is made of 3 figures. ▪ Therefore the total number of figures is 9+180+3= 192.
3) Two fathers and two sons ate 3 apples.Each of them ate 1 apple.
How is that possible?
Solution: They were a son, a father and a grandfather.
4) Snow-White bought some things from a merchant. If a belt costs as much as 3 combs, and a comb costs as much as 3 apples, how many apples does a belt cost?
Solution: 1 belt = 3 combs 1 comb = 3 apples=> 1 belt = 3 + 3 + 3 = 9 (apples)
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5) Find the largest natural number which consists of four distinctive even numbers, so that the hundred figure is the double of the ones.
Solution:▪ For the largest number, the thousand figure must be 8. ▪ The hundred figure cannot be 6 or 2 because the halves thereof (the one) is 3 or 1, neither of
which is an even number. Therefore the hundred figure is 4 and there are 2 possibilities: 8402 or 8462. The correct answer is 8462.
4. Teaching methods and resources used in IT / Informatics / coding for:
a. Primary education; First stage of basic Education
b. Lower secondary education; Second stage of basic education
c. (Upper) secondary education
Name of the method/instrument:Heuristic conversation
Brief description: #It is designed to guide the student to “discover" something new.#It consists of a series of questions and answers, the result of which being a new truth or novelty discovered by the student.#The questions and answers must constitute compact series, each new question being based upon the previous answer.#It is conditioned by the student's prior knowledge, enabling them to andwer the respective questions.
Which is the teacher's role? The teacher asks questions meant to guide the student to the discovery of something new.
Which is the student's role?
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The student answers the teacher's questions and makes the necessary connections in order to learn something new
Example of use:The acquisition and development of Maths-related terms
Name of the method/instrument:Catechetic conversation
Brief description:#Its main function is to measure the student's level of knowledge at a give time.#The difference from the heuristic conversation is the fact that the questions and answers no longer constitute series or systems (each set of question and answer constitute a self-standing microuniverse as reported to the other questions and answers).#It must meet certain criteria in terms of the quality of the questions, on one hand, and of the answers, on the other hand.
The questions:a) must be correct, both in terms of grammar, and in terms of logic;b) must be accurate;c) must be conveniently brief and refer to a limited content;d) must be varied enough: *dates, names, definitions; * explanations; * problem situationsThe question must always be associated to the necessary amount of reflection time, depending on its
difficulty.The answer is only interrupted when the student gets confused from the very beginning.It is not advisable to ask questions with suggested or one-syllable answers.The question is first asked to the entire class, and the student who must answer it is only named after
the reflection time has expired.It is not useful to ask tricky (intentionally wrong) questionsThe answers: a) must always be gramatically and logically correct, regardless of the subject. b) must cover all aspects of the questions. c) must address the essential part of the questions, whilst being as concise as possible. d) for primary school classes, the answers must be expressed in a fully formed sentence or phrase. e) must have a full form, with no fragments or “parasite” elements
Which is the teacher's role?The teacher assesses the student's level of knowledge at the given moment and guides the students to the discovery of new things.
Which is the student's role? The student uses their existing knowledge in order to learn new things.
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Example of use: The deduction of Maths rules based on the student's prior knowledge of the subject.
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Name of the method/instrument Actuality conversation
Brief description:#The students can only get involved in the debate when they have:(a) the relevant information;(b) the method necessary to investigate outside the respective debate;(c) the ability to understand and accept opposing points of view.#The teachers can only get involved in the debate if they have:(a) created the necessary social and affective climate, based mostly on group cohesion;(b) organized the debate group in a reasonable number of members (15-20), in order for everyone to
have time to express their opinion;(c) made the best space arrangements;(d) avoided to impose their own opinion, their role being a mere mediation one;(e) set an approximate time limit for each aspect of the issue, in order to cover all revelant aspects.
Which is the teacher's role?The teacher encourages the students to express their own opinions, while helping them develop a set of social and communication skills.
Which is the student's role? The student expresses their opinion on a given actuality topic, while listening to and respecting potentially opposite opinions.
Example of use:A debate regarding the importance of attending PE classes.
Name of the method/instrumentDidactic observation
Brief description:# It consists of the systematic observation of the objects and phenomena which constitute the
contentes of the learning activity, in order to notice their most significant characteristics.# It uses research and discovery# It has a formative function# It implies several steps:- organization - observarea propriu-zisa - interpretation - valorification
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Didactic observation involves a close look at various objects and phenomena. It can be systematic – with the teacher guiding the student or independent – out of the student's own free will. It aims at the student descovering the world around them, and completing the information which is already in their knowledge database.
Observation has a heuristic character, and it aims at encouraging the student's participation and receptivity regarding the environment.
Observation can be on an either short or long term.
Observation can help reach the following objectives: explanation, description, interpretation of various phenonema.
Observation will then be turned into charts, articles, drawings, graphs, in which the student explains what they have previously noticed about the respective phenomenon.
The process of observation and its related forms can also help develop other skills, such as: patience, diligence, imagination, perseverence, perspicacity.
Which is the teacher's role?The teacher organizes observation in such a way as to raise and maintain the student's interest in discovering new things about the world around them.
Which is the student's role?The student follows the teacher's indications in order to become the author of their own learning.
Example of use:Observation of how plants grow in their natural environment by planting beans or wheat, either at home or at school.
Name of the method/instrumentDemonstration
Brief description:# It is a teaching-learning method, during which the message that has to be conveyed to the
student takes the form of a concrete or substitute object or action.# Types of demonstration (depending on the means): a. Object demonstration-for a student, the main source of information is a natural object (rocks, seeds, plants, chemical
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substances) in their environment, when and if possible (for instance, plants or some lab animals).-advantage -> they give demonstration a very convincing natureb. Action demonstration- for a student, the main source of knowledge is an action shown by the teacher, and the purpose of
demonstrating actions is to turn them into abilities.- Conditions: - a preliminary sitting, grouping and instruction of the students - a preliminary rehearsal of the action by the instructor - a real action demonstration, not a mime or a mere verbalization - a short demonstration time, followed by the student doing it themselves - sufficient instructions.c. Substitute demonstration#It is very extended (substitutes or ready-made materials are easily available for the teacher to use)
image boardsmapsphotographs and paintings3-D materials
# Advantages:1. Time and space do not often enable the teacher to make direct use of the object or phenomena to be
taught;2. An over-complicated structure of the real objects or phenomena can be simplified either by
visualization or by schematization;3. It is sometimes impossible to recur to natural objects, therefore substitutes can be used to describe
them4. Substitutes have unlimited availability for teachers5. They involve less financial effort as compared to the original objectsd. Combined demonstration – experiment demonstration - drawing demonstrationExperiment demonstration consists of a mixture of object and action demonstration.Drawing demonstration consists of the teacher drawing something in fornt of the students, who draw
at the same time ( action and substitute demonstration)e. Technical demonstration# It uses technology: audio, video or both.# Advantages:1. High accuracy, both in terms of sound and in terms of image;2. They can express different aspects which could not be (easily) conveyed;3. Different technical tools can be used to describe various phenomena which cannot be otherwise
observed;4. They can be replayed whenever necessary, thus avoiding the waste of time;5. They are more productive and more attractive to students.# Conditions: - a special space management (mat curtains, desks, etc.); - a thoughtful use fo such demonstrations, so as not to interrupt the student's activity.
Which is the teacher's role?The teacher demonstrates the aspects which the student must acquire, thus enabling learning and
internalization.
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Which is the student's role? The student pays attention to the teacher's demonstration and makes an active and intentional effort to make the necessary connections in order to learn new things.
Example of use:Demonstration of various movements during the PE class
Name of the method/instrumentExercise
Brief description:# It consists of repeatedly and intentionally performing an action in order to acquire a pattern of
action or to improve one's own performance# It aims not only at creating skills, but also at consolidating knowledge# It is compatible with any learning content# There are at least two classification criteria:● form - oral - written - practicalb. purpose and complexity – introductory exercises → the students are explained
an activity for the first time and they perform it along with their teacher - consolidation (basic)exercises -> the students performs the action
repeatedly and intentionally - connection (parallel) exercises -> the students integrate the new and the
existing skills into larger systems - creative or heuristic exercises# Conditions :a. The student must be fully aware of the purpose of the exercise and follow the learning pattern
accurately.b. The exercises must be varied enough, so as to avoid developing only part of the respective skill.c. The exercises must be increasingly difficult. Complicated skills require a progressive integration of
the basic ones.d. The exercises must have time continuity, otherwise various gaps might occur, which could hinder
the normal acquisition of the respective skill.e. The exercises must have an appropriate duration and rhythm.f. Performance of the exercises must always integrate (self)correction.
Which is the teacher's role?The teacher facilitates the creation of skills or the consolidation of the student's prior knowledgeby
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having them repeat actions.
Which is the student's role?The student follows the teacher's instructions in order to acquire certain skills and knowledge, which they can later use with minimum concentration.
Example of use:During Maths classes, for rule acquisition.
Name of the method/instrumentStar explosion
Brief description# It stimulates creativity and get the students to relax# It is based on asking questions to solve problems.# It can be used after reading activities, conversations, memorizations, story telling.# The teaching materials consist of a big star, five small yellow stars, five red arrows and counters. The teacher pastes an image related to the respective topic on the big star, and writes a question (What?, Who?, Where?, When?, Why?) on each of the five smaller stars.This method has the advantage of helping the students develop their creative potential, making them familiar with the type of questions mentioned above, allowing them to practice question formation and giving full answers, and solving problems by answering the teacher's questions.
Which is the teacher's role?The teacher facilitates the comprehension of the reading materials and encourages students to ask and answer questions.
Which is the student's role?The student answers the questions and thus provides feed-back as for the acquisition of the learning contents, whilst being able to correct potential comprehension errors.
Example of use:After a reading activity, to show reading comprehension
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Name of method/tool:Natural means of teaching
Short description:There can be two types of means:a. strictly natural means: rocks, minerals, plants (herbariums),insects (insectariums); animal skeletons; stands of natural chemical substances, etc.; b.natural means, created for the day-to-day needs: objects, pieces,devices, mechanisms, machines, tools, pieces of equipment, facilities, technical systems, information systems (computers) etc
Which is the teacher's role?The teacher uses this teaching method to present the lesson and to assess the students' progress
Which is the student' s role?The students use the teacher's instructions to achieve their task.
Name of method/tool:Algorithmization
Short description:In totally general terms, algorithmization is a reaching and learning method consisting of the use and valorification of algorithms. Algorithms are, in their turn, a string of operations conducted in a fairly constant order, which enables the solution of a whole set of similar problems. In teaching terms, algorithmization means that the teacher finds the string of operations which are necessary for every learning activity.
Didactic algorithmization implies two things: the approximately fixed form or succession of the student's operations and the pre-determination thereof by the teacher.By using this method, the student acquires a set of knowledge or working techniques after having complied with a ready-set pattern, whereas heuristic learning implies learning is the result of the student's own research.
Which is the teacher's role?The teacher uses this teaching method to present the lesson and to assess the students' progress
Which is the student' s role?The students use the teacher's instructions to achieve their task.
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Name of method/tool:Programmed learning
Short description:Programmed learning is a teaching method which consists of the students go over a certain training content at their own pace and in a conscious effort to learn. They have the opportunity to check their own solutions(a stept at a time) thus ensuring success.
The principles of programmed learning are:
● 1. The principle of small steps. The learning content is divided into several fragments, small enough to be accessible to the students at their current level of understanding.
● 2. The principle of active responding. It determines every student to understand the respective contents and answer questions and solve problems within each theme, otherwise studying would no longer be possible.
● 3. The principle of immediate confirmation- the student can check the correctness of their answer or solution on the spot.
● 4. The principle of self-pacing - by working on their own, each student progresses in their own rhythm, depending on their real, existing capacities.
Which is the teacher's role?The teacher uses this teaching method to present the lesson and to assess the students' progress
Which is the student' s role?The students use the teacher's instructions to achieve their task.
Name of method/tool:Modeling is a teaching method which consists of using a model to organize and schedule the learning processes.Short description:The main characteristics of a model are:– it imitates the essence or parts of the original;
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– it consists of scientifically interesting elements;– it provides extra information as compared to the direct observation of the original;– it can be used as an instrument to discover new properties of the original.From a teaching point of view, models can be:–substantial (objective) such as: dummies, molds, shapes, small items (planes, locomotives, engines);–graphic (figurative): diagrams, graphs (schemes and reprezentations), conventional signs, animation;–logical (symbolic): algorithms, formulas
Within the learning process modelling can have two aspects. The first is the possibility for the students to learn by means of models created by others (teachers, parents). The second refers to the students learning by means of models created by themselves with the teacher's assistance.Which is the teacher's role?The teacher uses this teaching method to present the lesson and to assess the students' progress
Which is the student' s role?The students use the teacher's instructions to achieve their task.