1 / 38

Presentatie titel

Calculation up to 100. Presentatie titel. Okahandja, June 2014. Rotterdam, 00 januari 2007. As in calculation <10 and calculation <20, it ´s in calculation <100 very important learners learn how to solve problems by making use of structures . We all know now three phases :

klazarus
Download Presentation

Presentatie titel

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Calculation up to 100 Presentatie titel Okahandja, June 2014 Rotterdam, 00 januari 2007

  2. As in calculation <10 and calculation <20, it´s in calculation <100 very important learnerslearnhow to solveproblemsbymakinguse of structures. • We all knownowthreephases: • Addition and subtractionbycounting (noteffective at last) • Addition and subtractionbyusing models (smart teaching materials) • Addition and subtraction in a formalway. • This last phase is the finalphase.

  3. 10 frames

  4. 10 frames

  5. Classroom number line 1 - 100

  6. Classroom number snake 1 - 100

  7. Number snake 1-100, combined with the empty number line

  8. Sun-game

  9. Empty number line

  10. Strategies calculation up to 100Intermezzo: How did you do it? Solve the problems and write down your calculations. Show the way you find your answer! • 43 + 35 = • 58 + 26 =  • 85 – 32 =  • 72 – 37 = • Solve

  11. The calculations of the learners of Elim Primary School in Windhoek

  12. The strategies used by the learners of Elim Primary School in Windhoek • In grade 3: Counting one-by-one, Stepwise addition and subtraction/ Stringing, Splitting, Digit algorithm • In grade 4: Stepwise addition and subtraction/ Stringing, Splitting, Digit algorithm • In grade 5: Digit algorithm what about your strategies?

  13. Stepwise addition and subtraction/Stringing 45 + 28 = Joan has read 45 pages in her book. Today she reads 28 pages. • 45 + 20 = 65 65 + 25 = 70 70 + 23 = 73

  14. Stepwise addition and subtraction/Stringing 84 – 27 = I cut 27cm off a ribbon measuring 84 cm. How much is left?

  15. Stepwiseaddition and subtraction/Stringing • 47 + 25 47 + 3 = 50, 50 + 20 = 70, 70 + 2 = 72 • 47 + 25 47 + 20 = 67, 67 + 3 = 70, 70 + 2 = 72 • 47 + 25 47 + 20 = 67, 67 + 5 = 72

  16. Stepwise addition and subtraction/Stringing • Teaching materials supporting stepwise addition/subtraction (stringing) • Numberline • Number snake • Sun-game • 100-beads/bottle caps string • Empty number line

  17. Splitting or Column calculation.This strategy is based on number value. • 47 + 25 40 + 20 = 60, 7 + 5 = 12, 60 + 12 = 72

  18. Splitting or Column calculation 47 25 + 60 12 + 72 47 + 25 40 + 20 = 60, 7 + 5 = 12, 60 + 12 = 72

  19. Splitting or Column calculation

  20. Splitting or Column calculation • Teaching materials, supporting splitting or column calculation • 10-frames

  21. Strategie 4: Digit algorithm

  22. Smart strategies (a higher level of calculation)The Grandstand problem (in case of addition) • 56 + 27 • 56 + 27 = 53 + 30 = 83 3

  23. Smart strategies The Scale problem (in case of subtraction) • 68 – 29 • 68 – 29 = 69 – 30 = 39 +1 +1

  24. Smart strategies Jumping too far and back (learners think of the nearest decade) • 45 + 28 = 45 + 30 – 2 = • 82 – 37 = 82 – 40 + 3 =

  25. Which strategie do you choose? A book with 84 pages. You are reading at the bottom of page 37. How many pages still to read? The black t-shirt costs N$ 92 and the grey t-shirt costs N$ 69. How much more expensive is the black t-shirt? N$ 92 N$ 69

  26. The basic strategies: 1 Stepwise addition and subtraction/ Stringing • Starts with flexible counting • The ‘large number line’: 10 – 20 – 30 – 40 – 50 – 60 – 70 – 80 – 90 – 100 • The ‘small number line’: 1 – 2 – 3 – 4 - 5 – 6 - 7 – 8 – 9 – 10 – 11 – 12 - ….- 33 – 34 – 35 – 36 – 37 – 38 – 39 - 40- etc • Use of the empty number line as a ‘notation scheme’ and ‘paradigm’

  27. The basic strategies: 2 Splitting/ column calculation • Starts with place value • Use of the 10-frames as a ‘paradigm’ • Use of the ‘column notation scheme’ emphasises the place value

  28. The teaching-learning-trajectory Basic strategies for all learners: • Stepwise addition and subtraction/ Stringing. The most natural way of addition and subtraction • Splitting/Column calculation. You need to know if the numbers get bigger ad you want to add and subtract without a calculator Additional: • Smart calculation

  29. Discussion & Exercises • Discussion • Exercises 46 + 23 = 58 + 36 = 76 – 24 = 63 – 28 = • Stepwise (shopkeepers method), Splitting, Smart calculation

  30. Studies • Teaching-learning trajectory ‘stepwise addition and subtraction, • Teaching-learning trajectory splitting • Teaching-learning trajectory smart calculation

  31. Studies • How does it start? • Which steps for the learners to make in the learning trajectory? • Which teaching materials are usefull in the teaching trajectory? • Which notation schemes do the learners use? • What are the learning outcomes in this teaching learning trajectory?

  32. The 100-caterpillar 100 • Choose two different numbers between 0 en 100, • Put these numbers in order in the first and the second part of the caterpillar, • Make the number in the next part by adding the two previous numbers, • The number in the fifth part must be 100! Just for fun

  33. 75-game • Rules of the game: • Take a turn to a number, • Choosefrom the numbers 5, 10, 15, 20, 25, 30, 35, • 40, 45, • Each number can be chosen only once! • Do you have three numbers which together have 75? • You are the winner! Just for fun

More Related