Mustafë Kadriu, Assessment Expert m_kadriu@yahoo.com Mustaf.Kadriu@rks-gov.net

1. Workshop 4: Kosovo’s way towards PISA 2015 - Student assessment: From Bloom’s taxonomy to competency based testing Mustafë Kadriu, Assessment Expert m_kadriu@yahoo.com Mustaf.Kadriu@rks-gov.net Tel: 038/212-823 or 044/520-223

2. DASM/MEST CAPACITY DEVELOPMENT Division for Assessment, Standards and Monitoring A S S E S SME N T Level I Grade 5 Test Grade 9 Achievement Test Level II State Matura Exam (Exit Exam) Level III Talented students Advancements

3. ASSESSMENT Grade 5

4. Distribution of scores in math test Frequency Achievement

5. LEARNING PROCESS CURRICULUM STUDENT ASSESSMENT TEACHING LEARNING

6. NO COMMENT

7. BLOOM’S TAXONOMY Assessment Establishment of judgment-based criteria CRITICAL THINKING Synthesis Combination of different ideas Analysis Breaking down the information in pieces – relation between things Use of rules and principles in problem-solving Application Understanding Change of information from one to another form Recognition Memorization of facts, definitions and values

8. SHEMBUJ Examples Example: The sum of two numbers is 16, whilst the multiplication is 63. a. Write it in the form of an equation b. What are those numbers? Show the process? Solution a) b) a) Algebra – Number: Operation with numbers General Objective: Understanding Specific Objective: Translation of the material Shembull: Sa është distanca në vijë ajrore , Prishtinë - Berlin? Example: What is the air distance from Prishtina – Berlin? b) Measurement: The distance between two points General Objective: Application Specific Objective: The principle of using the measuring tools (map)

9. MATHEMATICAL MODELING Learning outcome: The student describes and modelsa real life problem by transforming the actions and relations in daily situations into numbers, formulas, figures, shapes as elements for statistics, needed for businesses and economy. Evidence: Pupil can interpret a situation in mathematical way in relation to the situation. Example 1: If 4 chairs can be put at a table, 6 in two joined tables, in that case how many seats can be placed at five joined tables in a row? Chairs Chairs Example 2 Please develop the mathematical formula to calculate the number of seats for any number of tables places in a row (like shown in the picture). Answer: 2n+2. How did you arrive at this solution?

10. SOLVING MATHEMATICAL PROBLEMS Learning outcome: The Student describes the problem, provides sufficient information and uses several ways and methods for solving the problem with basic mathematical concepts, models and simple mathematical shapes. Example. Out of 268 plum trees, there are 25 kg plums per tree on average. All plums were put in cardboards weighing 4 kg. What is the required number of cardboards? Solution. 268 plum trees x 25kg on average = 6700kg plums 1 point 6700 kg plums : 4 kg per cardboard = 1676 cardboards 1 point Total: 2 points Evidence: Student may implement the strategy for interpreting and proving a mathematical solution to the problem

11. MATHEMATICAL RATIONALE Learning outcome: Uses mathematical thinking effectively; justifies, proves and clearly presents mathematical problems applicable to daily life. Evidence: Student reflects on the solution and provides explanations with arguments supporting problem-solving. Sample task: There are the following numbers such that whereby and How much is it: Reasoning Step I: Step II: Step III:

12. COMPETENCIES KNOWLEDGE ABILITY VALUES COMPETENCE PROFICIENCY ATTITUDE SKILL

13. POSSESSION OF COMPETENCIES AREA OF MATHEMATICS CREATIVE THINKING KEY COMPETENCIES PROBLEM-SOLVING AREA COMPETENCIES Describes the problem, issues sufficient information and uses problem-solving methods. LEARNING RESULTS Evidence: 1. Pupil can prepare the plan for problem solving 2. Pupil can determine variables which are part of the problem and relate them to each other in the language of mathematics

14. PISA (The Programme for International Student Assessment) The purpose of PISA Programme: Getting information for educational authorities and wide public with regards to student achievement in literacy, mathematics and natural sciences and how much they have basic skills for total participation in Kosovo society. Document: PISA assessment for our country is based on the following document: ,,KOSOVO PRE-UNIVERSITY EDUCATION DEVELOPMENT STRATEGY,, 2007-2017 Objective 4. Functional system for provision of student security based on comparable standards of developed countries.

15. DELIVERY OF PISA a. Piloting phase b. Central study phase

16. QUESTIONS REQUIRING ANSWERS • How muchand what are students learning in Kosovo schools? • What is the quality level at school? • What teaching is conducted there? • How must we operate in order to have an effective school? • How functional aretextbooks ? • How suitable are school curriculums? • How objective, sustainable and credible is the assessment? • How do we know that we aremanaging the school well? • What is the level o student achievement in relation to others? ANSWER (2015 - 2016)

17. “The solution ot all problems of the world is done through a single sentence Education ” Thank you Comments