1. Dr Yeap Ban Har Marshall Cavendish Institute Singapore banhar@sg.marshallcavendish.com Seminar on Assessment in Primary Mathematics SANTIAGO This seminar is about assessment in primary mathematics. This interactive session will include both informal as well as formal assessment, and formative and summative assessment. Presentation is available at www.banhar.blogspot.com and www.banhar.com

2. Beliefs Interest Appreciation Confidence Perseverance Monitoring of one’s own thinking Self-regulation of learning Attitudes Metacognition Numerical calculation Algebraic manipulation Spatial visualization Data analysis Measurement Use of mathematical tools Estimation Mathematical Problem Solving Reasoning, communication & connections Thinking skills & heuristics Application & modelling Skills Processes Concepts Numerical Algebraic Geometrical Statistical Probabilistic Analytical Singapore textbooks are based on this curriculum framework which is based on problem solving.

3. Example

4. Learning Activity Use the digits 0 to 9 not more than once to make a correct multiplication sentence. x

6. This is to allow the teacher to subsequently make the right decisions – to provide scaffold for struggling students or to provide challenge for advanced students.

7. This is assessment for differentiated instruction to maximise learning.

10. Example

12. Example

14. Focused on a skill or a topic

15. Example: Test on Addition

16. Example: Test on Ability to Measure Length and Mass

17. Written Assessment

18. Performance Assessment

19. Predict how many times is the capacity of the bowl compared to the capacity of the cup.

20. Find the volume of water in the bowl using the measuring cylinder.

21. Closed-Ended

22. Bella has 19 cookies. She has 4 cookies more than Dario. Find the number of cookies they both have altogether.

23. Open-Ended

25. Written Assessment

26. Types of Items

27. Multiple-Choice

28. Short Answer

29. Long Answer

30. Basic Skill

31. Grades 2 – 4 : 40% (20 items)

32. Grades 5 – 6 : 20% (20 items)

33. Direct and Familiar Applications

34. Grades 2 – 4 : 40% (20 items)

35. Grades 5 – 6 : 30% (12 – 15 items)

36. Challenging and Unusual Applications

37. Grades 2 – 4 : 20% (5 items)

39. Grade 3 Examination Item (Raffles Girls’ Primary School 2009) Challenging Application Devi had some $2 notes and $5 notes. She had a total of $76. She had 4 more $5 notes than $2 notes. How many $2 notes did she have?

40. Devi had some $2 notes and $5 notes. She had a total of $76. She had 4 more $5 notes than $2 notes. How many $2 notes did she have? $76 Number of $5 notes 4 $20 $56 8 Number of $2 notes $56 ÷ 7 = 8 8 She had eight $2 notes. Mark Scheme Method – 2 points Answer – 2 points