Math Strategies

1. Math Strategies Pat Bruinsma, ESA2

2. Session Purpose… • Give you research that supports children’s acquisition of math concepts • Activities/games to use with children in large and small groups • Web sites • Blackline masters • Accessible materials…dice, dominoes, counters, number cards, deck of cards Pat Bruinsma, ESA2

3. Guiding Principles for Teaching…. • Inquiry based approach • Teaching is informed • Initial assessment and ongoing assessments • Focused just beyond the child’s current knowledge • Uses instructional settings and tasks • Assess-intervene-observe cycle is continuous • Child is involved in sustained thinking and reflection on thinking and results • Students gain intrinsic satisfaction from problem-solving and their progress • Pat Bruinsma, ESA2

4. Teaching & Learning Cycle Pat Bruinsma, ESA2

5. Early Number Concepts Pat Bruinsma, ESA2

6. Early Number Learning • Number Word Sequences to 10 – Forward and Backward • Number Word Sequences to 30 – Forward and Backward • Number Word Sequences to 100 – Forward and Backward • Number Word Sequences to 1,000 – and beyond • Pat Bruinsma, ESA2

7. Activities to Strengthen Children’s knowledge • Number line activities • Count on • Count back • Number comes before and after strategies Online Activities • http://www.abc.net.au/countusin/default.htm • http://www.primarygames.com/math/fishycount/index.htm Pat Bruinsma, ESA2

8. Early Number Learning • Structuring numbers 1-100 – Using Jump Strategies • Structuring numbers 1-100 – Using Jump, Split, and other Strategies • Mental Computation involving addition and subtraction with 2- and 3-digit numbers Pat Bruinsma, ESA2

9. Counting Activities • Great to use as a warm up activity with students in a large group or pull out situations. • Fish out of Water • Who has? • Number cards for sequencing & missing number games • Hundreds chart – numbers handout provided • Concentration Pat Bruinsma, ESA2

10. Number Words and Numerals Developing facility with number word sequences and learning to name numerals are important aspects of early numeracy acquisition. Pat Bruinsma, ESA2

11. Overview • Numbers are ideas or concepts • Number words are the names for numbers • Digits are the ten basic symbols in the numerations system. The digits are 0, 1, 2,…9. • Numerals are the written symbols for numbers, for example, 27, 346, 8. The ten digits from 0 to 9 can be referred to as numerals. Pat Bruinsma, ESA2

12. Assessment Tasks • Forward number word sequences – FNWS • Number word after • Backward number word sequences – BNWS • Number word before • Numeral identification • Numeral recognition • Sequencing numerals • Ordering numerals • Locating numbers in the range 1-100 Pat Bruinsma, ESA2

13. Examples • FNWS: Say: Start counting from one please. I will tell you when to stop. Stop the child at 32. Start counting from 47 please. Stop the child at 55. And so on • Number word after: Say I am going to say a number and I would like you to say the number that comes after the number I say. What comes after six? After 11? And so on. Pat Bruinsma, ESA2

14. Games and Activities Web based and Blackline Masters Pat Bruinsma, ESA2

15. Face Off Materials: 24 math manipulatives, two strips of paper with 12 boxes numbered 1 to 12, and two dice (one set of materials for each pair). • A pair of students is given the materials listed above. • Students place a math manipulative in each box on their strip of paper. • Player one rolls the dice and adds the total then removes the manipulative in the appropriate box. • Player two rolls the dice and does the same. • Play continues until one player is able to remove all manipulatives. • A variation would be to place 5 manipulatives in boxes 1 to 5 and then subtract after each roll. • See worksheets for patterns Pat Bruinsma, ESA2

16. Name That Number Upper Elementary Grades Materials: 20 – 3x5 index cards numbered 1 to 20 (one set for each pair). • Each pair of students is given one set of cards. • They lay down five cards face down and then turn them over. • Now they select the highest number, which becomes their target number. • Next they try to make as many math expressions as they can that equals the target number. • They get one point for every number they use in the expression. • A variation would be to use only one operation at time, such as addition, subtraction, etc. Pat Bruinsma, ESA2

17. Integer Challenge Materials: 50 - 3x5 index cards with positive and negative integers written on them (50 cards for each pair). • A pair of students is given 25 cards each. • Both players turn over two cards. • They add the total for each player and the winner keeps all four cards. • They continue play until one player collects all cards. • A variation would be to subtract integers, instead of adding. Pat Bruinsma, ESA2

18. Snakes and Numbers • Counting Game • Spin off of Chutes and Ladders • http://www.bbc.co.uk/schools/numbertime/games/index.shtml • Can play with a partner or alone Pat Bruinsma, ESA2

19. Dominoes • http://www.mathwire.com/strategies/matsdom.html • Designs on Dominoes by Linda Underwood • Unusual twist to the game of dominoes • Colored master of the dominoes you can cut and laminate if you want to use as cards • Game #9 • Unfortunately not available anymore. Pat Bruinsma, ESA2

20. Dice Games • Addition and Subtraction with 2 dice • Place value with 3 different colors of dice • Black-line masters attached Pat Bruinsma, ESA2

21. Card Games • Buy, collect or gather decks of playing cards. • Take out the Jacks, Queens, and Kings • Addition War • Subtraction War • Go Fish Pat Bruinsma, ESA2

22. Number Sense and Numerical Operations • http://www.mathwire.com/games/pvgames.html Great activities outlined here with number cards Note: Most blacklines are set up with 2 on 1 page for today available on: www.patbruinsma.wikispaces.com in full size for download and copy! Pat Bruinsma, ESA2

23. Thank You! All resources can be accessed at: • www.patbruinsma.wikispaces.com • Look for Math Strategies and Activities on the menu. Pat Bruinsma, ESA2